Finite Group Databasebeta

← C37×#61609 #22682862

Subgroups — C37×#61609 #22682862

Order 9472.

2290 conjugacy classes of subgroups.

The subgroup lattice has 1992 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C37×#3542C211yesmaximal, characteristic, complemented
2C37×#3484C211yesmaximal, characteristic, complemented
3C37×#3325C211yesmaximal, characteristic, complemented
4C37×#3322C211yesmaximal, characteristic, complemented
5C37×#3319C211yesmaximal, characteristic, complemented
6C37×#3318C211yesmaximal, characteristic, complemented
7C37×#3310C211yesmaximal, characteristic, complemented
8C37×#3306C211yesmaximal, characteristic, complemented
9C37×#3296C211yesmaximal, characteristic, complemented
10C37×#3294C211yesmaximal, characteristic, complemented
11C37×#3280C211yesmaximal, characteristic, complemented
12D4×D8×C37C211yesmaximal, characteristic, complemented
13C37×#3274C211yesmaximal, characteristic, complemented
14C37×#3273C211yesmaximal, characteristic, complemented
15C37×#3268C211yesmaximal, characteristic, complemented
16C37×#3264C211yesmaximal, characteristic, complemented
17C37×#3264C211yesmaximal, characteristic, complemented
18C37×#3264C211yesmaximal, characteristic, complemented
19C37×#3224C211yesmaximal, characteristic, complemented
20C37×#3220C211yesmaximal, characteristic, complemented
21C37×#3199C211yesmaximal, characteristic, complemented
22C37×#3198C211yesmaximal, characteristic, complemented
23C37×#3194C211yesmaximal, characteristic, complemented
24C37×#3191C211yesmaximal, characteristic, complemented
25C37×#3122C211yesmaximal, characteristic, complemented
26C37×#3118C211yesmaximal, characteristic, complemented
27C37×#3012C211yesmaximal, characteristic, complemented
28C37×#3008C211yesmaximal, characteristic, complemented
29C37×#3003C211yesmaximal, characteristic, complemented
30C2×C37×#447C211yesmaximal, characteristic, complemented
31C37×#2976C211yesmaximal, characteristic, complemented
32C2×H(5,𝔽2)×C37C2211yescharacteristic, complemented
33C23×D4×C37C2211yescharacteristic, complemented
34C2×AGL(1,ℤ/8)×C37C2211yescharacteristic, complemented
35C2×AGL(1,ℤ/8)×C37C2211yescharacteristic, complemented
36C2×AGL(1,ℤ/8)×C37C2211yescharacteristic, complemented
37C2×AGL(1,ℤ/8)×C37C2211yescharacteristic, complemented
38C2×#135×C37C2211yescharacteristic, complemented
39C22×D8×C37C2211yescharacteristic, complemented
40C22×D8×C37C2211yescharacteristic, complemented
41C22×D8×C37C2211yescharacteristic, complemented
42C37×#562—21no—
43C37×#560—21no—
44C37×#555C2211yescharacteristic, complemented
45C37×#553C2211yescharacteristic, complemented
46C37×#552C2211yescharacteristic, complemented
47C37×#551—21no—
48C37×#550C2211yescharacteristic, complemented
49C37×#547C2211yescharacteristic, complemented
50C37×#546—21no—
51C37×#546—21no—
52C37×#546—21no—
53C37×#546C2211yescharacteristic
54C37×#546C2211yescharacteristic, complemented
55C37×#546C2211yescharacteristic, complemented
56C37×#546C2211yescharacteristic, complemented
57C37×#546C2211yescharacteristic, complemented
58C37×#546C2211yescharacteristic, complemented
59D42×C37—21no—
60D42×C37—21no—
61D42×C37C2211yescharacteristic
62D42×C37C2211yescharacteristic, complemented
63D42×C37C2211yescharacteristic, complemented
64D42×C37C2211yescharacteristic, complemented
65D42×C37C2211yescharacteristic, complemented
66C37×#542C2211yescharacteristic, complemented
67C37×#540—21no—
68C37×#540C2211yescharacteristic, complemented
69C37×#538—21no—
70C37×#537C2211yescharacteristic, complemented
71C37×#535—21no—
72C37×#535C2211yescharacteristic, complemented
73C37×#535C2211yescharacteristic, complemented
74C37×#535C2211yescharacteristic, complemented
75C37×#534—21no—
76C37×#534—21no—
77C37×#534—21no—
78C37×#525C2211yescharacteristic
79C37×#525C2211yescharacteristic, complemented
80C37×#525C2211yescharacteristic, complemented
81C2×#121×C37C2211yescharacteristic, complemented
82C2×#120×C37—21no—
83C2×#120×C37—21no—
84C37×#518C2211yescharacteristic, complemented
85C37×#496C2211yescharacteristic, complemented
86C37×#496C2211yescharacteristic, complemented
87C37×#495C2211yescharacteristic, complemented
88C37×#493C2211yescharacteristic, complemented
89C37×#490C2211yescharacteristic, complemented
90C37×#489C2211yescharacteristic, complemented
91C37×#488C2211yescharacteristic, complemented
92C37×#486C2211yescharacteristic, complemented
93C37×#485C2211yescharacteristic, complemented
94C37×#485C2211yescharacteristic, complemented
95C37×#483C2211yescharacteristic, complemented
96C37×#482C2211yescharacteristic, complemented
97C37×#482C2211yescharacteristic, complemented
98C37×#482C2211yescharacteristic, complemented
99C37×#482C2211yescharacteristic, complemented
100C37×#482C2211yescharacteristic, complemented
101C37×#482C2211yescharacteristic, complemented
102C37×#481C2211yescharacteristic, complemented
103C37×#480C2211yescharacteristic, complemented
104C37×#480C2211yescharacteristic, complemented
105C37×#478C2211yescharacteristic, complemented
106C37×#478C2211yescharacteristic, complemented
107C37×#476C2211yescharacteristic, complemented
108C37×#474C2211yescharacteristic, complemented
109C37×#469C2211yescharacteristic, complemented
110C37×#469C2211yescharacteristic, complemented
111C37×#469C2211yescharacteristic, complemented
112C37×#469C2211yescharacteristic, complemented
113C37×#469C2211yescharacteristic, complemented
114C37×#468C2211yescharacteristic, complemented
115C37×#468C2211yescharacteristic, complemented
116C37×#468C2211yescharacteristic, complemented
117C37×#467C2211yescharacteristic, complemented
118C37×#466C2211yescharacteristic, complemented
119C37×#466C2211yescharacteristic, complemented
120C37×#466C2211yescharacteristic, complemented
121C37×#466C2211yescharacteristic, complemented
122C37×#465C2211yescharacteristic, complemented
123C37×#465C2211yescharacteristic, complemented
124C37×#465C2211yescharacteristic, complemented
125C37×#464C2211yescharacteristic, complemented
126C37×#463C2211yescharacteristic, complemented
127C37×#463C2211yescharacteristic, complemented
128C37×#463C2211yescharacteristic, complemented
129C37×#463C2211yescharacteristic, complemented
130C37×#463C2211yescharacteristic, complemented
131C37×#460C2211yescharacteristic, complemented
132C37×#459C2211yescharacteristic, complemented
133C37×#459C2211yescharacteristic, complemented
134C37×#459C2211yescharacteristic, complemented
135C37×#459C2211yescharacteristic, complemented
136C37×#459C2211yescharacteristic, complemented
137C37×#452C2211yescharacteristic, complemented
138C37×#452C2211yescharacteristic, complemented
139C37×#452C2211yescharacteristic, complemented
140C37×#450C2211yescharacteristic, complemented
141C37×#450C2211yescharacteristic, complemented
142C37×#450C2211yescharacteristic, complemented
143C37×#450C2211yescharacteristic, complemented
144C37×#450C2211yescharacteristic, complemented
145C37×#450C2211yescharacteristic, complemented
146C37×#449C2211yescharacteristic, complemented
147C37×#449C2211yescharacteristic, complemented
148C37×#449C2211yescharacteristic, complemented
149C37×#449C2211yescharacteristic, complemented
150C37×#449C2211yescharacteristic, complemented
151C37×#449C2211yescharacteristic, complemented
152C37×#449C2211yescharacteristic, complemented
153C37×#449C2211yescharacteristic, complemented
154C37×#449C2211yescharacteristic, complemented
155C37×#447C2211yescharacteristic
156C37×#447C2211yescharacteristic, complemented
157C37×#447C2211yescharacteristic, complemented
158C37×#447C2211yescharacteristic, complemented
159C37×#447C2211yescharacteristic, complemented
160C37×#447C2211yescharacteristic, complemented
161C37×#447C2211yescharacteristic, complemented
162C37×#447C2211yescharacteristic, complemented
163C37×#447C2211yescharacteristic, complemented
164C37×#447C2211yescharacteristic, complemented
165C37×#447C2211yescharacteristic, complemented
166C37×#447C2211yescharacteristic, complemented
167C37×#447C2211yescharacteristic, complemented
168C37×#447C2211yescharacteristic, complemented
169C37×#447C2211yescharacteristic, complemented
170C37×#447C2211yescharacteristic, complemented
171C37×#447C2211yescharacteristic, complemented
172C37×#447C2211yescharacteristic, complemented
173C37×#442C2211yescharacteristic, complemented
174C37×#442C2211yescharacteristic, complemented
175C37×#442C2211yescharacteristic, complemented
176C37×#440C2211yescharacteristic, complemented
177C4×SD16×C37C2211yescharacteristic, complemented
178C4×D8×C37C2211yescharacteristic, complemented
179C4×D8×C37C2211yescharacteristic, complemented
180C4×D8×C37C2211yescharacteristic, complemented
181C37×#436C2211yescharacteristic, complemented
182C37×#436C2211yescharacteristic, complemented
183C37×#435C2211yescharacteristic, complemented
184C37×#435C2211yescharacteristic, complemented
185C37×#435C2211yescharacteristic, complemented
186C37×#435C2211yescharacteristic, complemented
187C8×D4×C37C2211yescharacteristic, complemented
188C8×D4×C37C2211yescharacteristic, complemented
189C37×#433C2211yescharacteristic, complemented
190C37×#433C2211yescharacteristic, complemented
191C37×#418C2211yescharacteristic, complemented
192C37×#418C2211yescharacteristic, complemented
193C37×#418C2211yescharacteristic, complemented
194C37×#417C2211yescharacteristic, complemented
195C37×#416C2211yescharacteristic, complemented
196C2×#102×C37C2211yescharacteristic, complemented
197C2×#102×C37C2211yescharacteristic, complemented
198C2×#102×C37C2211yescharacteristic, complemented
199C37×#408C2211yescharacteristic, complemented
200C37×#408C2211yescharacteristic, complemented
201C37×#407C2211yescharacteristic, complemented
202C2×C22⋊C8×C37C2211yescharacteristic, complemented
203C25×C37—21no—
204H(5,𝔽2)×C37—42no—
205H(5,𝔽2)×C37—42no—
206C2×#41×C37—21no—
207C2×#41×C37—21no—
208C2×#41×C37C2311yescharacteristic
209C2×#41×C37C2311yescharacteristic
210C2×#41×C37C2311yescharacteristic
211C2×#41×C37C2311yescharacteristic
212C2×#41×C37C2311yescharacteristic
213C2×#41×C37C2311yescharacteristic, complemented
214C22×D4×C37—21no—
215C22×D4×C37—21no—
216C22×D4×C37—21no—
217C22×D4×C37—21no—
218C22×D4×C37—21no—
219C22×D4×C37—21no—
220C22×D4×C37—21no—
221C22×D4×C37—21no—
222C22×D4×C37—21no—
223C22×D4×C37—21no—
224C22×D4×C37—21no—
225C22×D4×C37—21no—
226C22×D4×C37—42no—
227C22×D4×C37—42no—
228C22×D4×C37C2311yescharacteristic
229C22×D4×C37C2311yescharacteristic
230C22×D4×C37C2311yescharacteristic
231C22×D4×C37C2311yescharacteristic
232C22×D4×C37C2311yescharacteristic
233C22×D4×C37C2311yescharacteristic
234C22×D4×C37C2311yescharacteristic
235C22×D4×C37C2311yescharacteristic
236C22×D4×C37C2311yescharacteristic
237C22×D4×C37C2311yescharacteristic, complemented
238C23×C4×C37C2311yescharacteristic
239AGL(1,ℤ/8)×C37—42no—
240AGL(1,ℤ/8)×C37—42no—
241AGL(1,ℤ/8)×C37—42no—
242AGL(1,ℤ/8)×C37—42no—
243#135×C37—42no—
244C2×Q16×C37C2311yescharacteristic, complemented
245C2×SD16×C37C2311yescharacteristic
246C2×SD16×C37C2311yescharacteristic
247C2×SD16×C37C2311yescharacteristic
248C2×SD16×C37C2311yescharacteristic
249C2×SD16×C37C2311yescharacteristic, complemented
250C2×SD16×C37C2311yescharacteristic, complemented
251C2×SD16×C37C2311yescharacteristic, complemented
252C2×SD16×C37C2311yescharacteristic, complemented
253C2×D8×C37—42no—
254C2×D8×C37—42no—
255C2×D8×C37—42no—
256C2×D8×C37C2311yescharacteristic
257C2×D8×C37C2311yescharacteristic
258C2×D8×C37C2311yescharacteristic
259C2×D8×C37C2311yescharacteristic
260C2×D8×C37C2311yescharacteristic
261C2×D8×C37C2311yescharacteristic
262C2×D8×C37C2311yescharacteristic
263C2×D8×C37C2311yescharacteristic
264C2×D8×C37C2311yescharacteristic
265C2×D8×C37C2311yescharacteristic
266C2×D8×C37C2311yescharacteristic
267C2×D8×C37C2311yescharacteristic
268C2×D8×C37C2311yescharacteristic, complemented
269C2×D8×C37C2311yescharacteristic, complemented
270C2×D8×C37C2311yescharacteristic, complemented
271C2×M16×C37C2311yescharacteristic
272C2×M16×C37C2311yescharacteristic
273C2×M16×C37C2311yescharacteristic, complemented
274C2×M16×C37C2311yescharacteristic, complemented
275C22×C8×C37C2311yescharacteristic
276C22×C8×C37C2311yescharacteristic
277C22×C8×C37C2311yescharacteristic, complemented
278C22×C8×C37C2311yescharacteristic, complemented
279C4⋊Q8×C37C2311yescharacteristic, complemented
280#127×C37—21no—
281#127×C37—21no—
282#127×C37—21no—
283#127×C37C2311yescharacteristic
284#127×C37C2311yescharacteristic
285#127×C37C2311yescharacteristic, complemented
286#126×C37—21no—
287#126×C37—21no—
288#126×C37—21no—
289#125×C37—21no—
290#125×C37C2311yescharacteristic, complemented
291#124×C37—21no—
292#124×C37—21no—
293#124×C37—21no—
294#124×C37—21no—
295#124×C37—21no—
296#124×C37C2311yescharacteristic
297#124×C37C2311yescharacteristic
298#124×C37C2311yescharacteristic, complemented
299#123×C37—21no—
300#123×C37—21no—
301#123×C37—21no—
302#123×C37—21no—
303#123×C37—21no—
304#123×C37—21no—
305#123×C37—21no—
306#123×C37—21no—
307#123×C37—21no—
308#123×C37—21no—
309#123×C37—21no—
310#123×C37—21no—
311#123×C37—21no—
312#123×C37—21no—
313#123×C37—21no—
314#123×C37D411yescharacteristic
315#123×C37D411yescharacteristic
316C22⋊Q8×C37—21no—
317C22⋊Q8×C37—21no—
318C22⋊Q8×C37—21no—
319C22⋊Q8×C37D411yescharacteristic
320C22⋊Q8×C37D411yescharacteristic
321C22⋊Q8×C37C2311yescharacteristic
322C22⋊Q8×C37C2311yescharacteristic
323C22⋊Q8×C37C2311yescharacteristic
324C22⋊Q8×C37C2311yescharacteristic
325C22⋊Q8×C37C2311yescharacteristic, complemented
326#121×C37—21no—
327#121×C37—21no—
328#121×C37—21no—
329#121×C37—21no—
330#121×C37—21no—
331#121×C37—21no—
332#121×C37—21no—
333#121×C37—21no—
334#121×C37—21no—
335#121×C37—21no—
336#121×C37—21no—
337#121×C37—21no—
338#121×C37—21no—
339#121×C37—21no—
340#121×C37—21no—
341#121×C37—21no—
342#121×C37—21no—
343#121×C37—21no—
344#121×C37—21no—
345#121×C37—21no—
346#121×C37—21no—
347#121×C37—21no—
348#121×C37—21no—
349#121×C37—21no—
350#121×C37D411yescharacteristic
351#121×C37D411yescharacteristic
352#121×C37C2311yescharacteristic
353#121×C37C2311yescharacteristic
354#121×C37C2311yescharacteristic
355#121×C37C2311yescharacteristic
356#121×C37C2311yescharacteristic
357#121×C37C2311yescharacteristic
358#121×C37C2311yescharacteristic
359#121×C37C2311yescharacteristic
360#121×C37C2311yescharacteristic
361#121×C37C2311yescharacteristic
362#121×C37C2311yescharacteristic
363#121×C37C2311yescharacteristic
364#121×C37C2311yescharacteristic, complemented
365#121×C37C2311yescharacteristic, complemented
366#121×C37C2311yescharacteristic, complemented
367#120×C37—21no—
368#120×C37—21no—
369#120×C37—21no—
370#120×C37—21no—
371#120×C37—21no—
372#120×C37—21no—
373#120×C37—21no—
374#120×C37—21no—
375#120×C37—21no—
376#120×C37—21no—
377#120×C37—21no—
378#120×C37—21no—
379#120×C37—21no—
380#120×C37—21no—
381#120×C37—21no—
382#120×C37—21no—
383#120×C37—21no—
384#120×C37—21no—
385#120×C37—21no—
386#120×C37—21no—
387#120×C37—21no—
388#120×C37—21no—
389#120×C37—21no—
390#120×C37—21no—
391#120×C37D411yescharacteristic
392#120×C37D411yescharacteristic
393C4×Q8×C37C2311yescharacteristic, complemented
394C4×D4×C37—21no—
395C4×D4×C37—21no—
396C4×D4×C37—21no—
397C4×D4×C37—21no—
398C4×D4×C37—21no—
399C4×D4×C37—21no—
400C4×D4×C37—21no—
401C4×D4×C37—21no—
402C4×D4×C37C2311yescharacteristic
403C4×D4×C37C2311yescharacteristic
404C4×D4×C37C2311yescharacteristic
405C4×D4×C37C2311yescharacteristic
406C4×D4×C37C2311yescharacteristic
407C4×D4×C37C2311yescharacteristic
408C4×D4×C37C2311yescharacteristic
409C4×D4×C37C2311yescharacteristic
410C4×D4×C37C2311yescharacteristic, complemented
411C4×D4×C37C2311yescharacteristic, complemented
412C4×D4×C37C2311yescharacteristic, complemented
413#117×C37—21no—
414#117×C37—21no—
415#117×C37C2311yescharacteristic
416#117×C37C2311yescharacteristic
417#117×C37C2311yescharacteristic
418#117×C37C2311yescharacteristic, complemented
419C2×C4⋊C4×C37C2311yescharacteristic
420C2×C4⋊C4×C37C2311yescharacteristic, complemented
421C2×C22⋊C4×C37—21no—
422C2×C22⋊C4×C37—21no—
423C2×C22⋊C4×C37—21no—
424C2×C22⋊C4×C37—21no—
425C2×C22⋊C4×C37—21no—
426C2×C22⋊C4×C37—21no—
427C2×C22⋊C4×C37—21no—
428C2×C22⋊C4×C37—21no—
429C2×C22⋊C4×C37—21no—
430#107×C37C2311yescharacteristic, complemented
431#107×C37C2311yescharacteristic, complemented
432#107×C37C2311yescharacteristic, complemented
433#107×C37C2311yescharacteristic, complemented
434#106×C37C2311yescharacteristic, complemented
435#106×C37C2311yescharacteristic, complemented
436#106×C37C2311yescharacteristic, complemented
437#106×C37C2311yescharacteristic, complemented
438C4⋊C8×C37C2311yescharacteristic, complemented
439C4⋊C8×C37C2311yescharacteristic, complemented
440C4⋊C8×C37C2311yescharacteristic, complemented
441C4⋊C8×C37C2311yescharacteristic, complemented
442#103×C37C2311yescharacteristic, complemented
443#103×C37C2311yescharacteristic, complemented
444#103×C37C2311yescharacteristic, complemented
445#103×C37C2311yescharacteristic, complemented
446#103×C37C2311yescharacteristic, complemented
447#103×C37C2311yescharacteristic, complemented
448#102×C37C2311yescharacteristic
449#102×C37C2311yescharacteristic
450#102×C37C2311yescharacteristic
451#102×C37C2311yescharacteristic
452#102×C37C2311yescharacteristic
453#102×C37C2311yescharacteristic
454#102×C37C2311yescharacteristic
455#102×C37C2311yescharacteristic
456#102×C37C2311yescharacteristic
457#102×C37C2311yescharacteristic
458#102×C37C2311yescharacteristic
459#102×C37C2311yescharacteristic
460#102×C37C2311yescharacteristic
461#102×C37C2311yescharacteristic
462#102×C37C2311yescharacteristic
463#102×C37C2311yescharacteristic
464#102×C37C2311yescharacteristic, complemented
465#102×C37C2311yescharacteristic, complemented
466#102×C37C2311yescharacteristic, complemented
467#102×C37C2311yescharacteristic, complemented
468#102×C37C2311yescharacteristic, complemented
469#102×C37C2311yescharacteristic, complemented
470#102×C37C2311yescharacteristic, complemented
471#102×C37C2311yescharacteristic, complemented
472#102×C37C2311yescharacteristic, complemented
473#102×C37C2311yescharacteristic, complemented
474C22⋊C8×C37C2311yescharacteristic
475C22⋊C8×C37C2311yescharacteristic
476C22⋊C8×C37C2311yescharacteristic
477C22⋊C8×C37C2311yescharacteristic
478C22⋊C8×C37C2311yescharacteristic
479C22⋊C8×C37C2311yescharacteristic
480C22⋊C8×C37C2311yescharacteristic
481C22⋊C8×C37C2311yescharacteristic
482C22⋊C8×C37C2311yescharacteristic, complemented
483C22⋊C8×C37C2311yescharacteristic, complemented
484C22⋊C8×C37C2311yescharacteristic, complemented
485C22⋊C8×C37C2311yescharacteristic, complemented
486#97×C37C2311yescharacteristic, complemented
487#97×C37C2311yescharacteristic, complemented
488C4×C8×C37C2311yescharacteristic, complemented
489C4×C8×C37C2311yescharacteristic, complemented
490C24×C37—21no—
491C24×C37—21no—
492C24×C37—21no—
493C24×C37—21no—
494C24×C37—21no—
495C24×C37—21no—
496C24×C37—21no—
497C24×C37—21no—
498C24×C37—21no—
499C24×C37—21no—
500C24×C37—44no—
501C24×C37—82no—
502C24×C37—82no—
503C24×C37C2×D411yescharacteristic
504#41×C37—22no—
505#41×C37—22no—
506#41×C37—41no—
507#41×C37—41no—
508#41×C37—41no—
509#41×C37—41no—
510#41×C37—41no—
511#41×C37—41no—
512#41×C37—41no—
513#41×C37—41no—
514#41×C37—41no—
515#41×C37—41no—
516#41×C37—44no—
517#41×C37—82no—
518C2×Q8×C37—21no—
519C2×Q8×C37C2×D411yescharacteristic
520C2×Q8×C37C2411yescharacteristic
521C2×Q8×C37C2411yescharacteristic
522C2×D4×C37—22no—
523C2×D4×C37—22no—
524C2×D4×C37—22no—
525C2×D4×C37—22no—
526C2×D4×C37—22no—
527C2×D4×C37—22no—
528C2×D4×C37—22no—
529C2×D4×C37—22no—
530C2×D4×C37—21no—
531C2×D4×C37—21no—
532C2×D4×C37—21no—
533C2×D4×C37—21no—
534C2×D4×C37—21no—
535C2×D4×C37—21no—
536C2×D4×C37—21no—
537C2×D4×C37—21no—
538C2×D4×C37—21no—
539C2×D4×C37—21no—
540C2×D4×C37—21no—
541C2×D4×C37—21no—
542C2×D4×C37—21no—
543C2×D4×C37—21no—
544C2×D4×C37—21no—
545C2×D4×C37—21no—
546C2×D4×C37—21no—
547C2×D4×C37—21no—
548C2×D4×C37—21no—
549C2×D4×C37—21no—
550C2×D4×C37—21no—
551C2×D4×C37—21no—
552C2×D4×C37—21no—
553C2×D4×C37—21no—
554C2×D4×C37—21no—
555C2×D4×C37—21no—
556C2×D4×C37—21no—
557C2×D4×C37—21no—
558C2×D4×C37—21no—
559C2×D4×C37—21no—
560C2×D4×C37—21no—
561C2×D4×C37—21no—
562C2×D4×C37—21no—
563C2×D4×C37—21no—
564C2×D4×C37—21no—
565C2×D4×C37—21no—
566C2×D4×C37—41no—
567C2×D4×C37—41no—
568C2×D4×C37—41no—
569C2×D4×C37—41no—
570C2×D4×C37—41no—
571C2×D4×C37—41no—
572C2×D4×C37—41no—
573C2×D4×C37—41no—
574C2×D4×C37—41no—
575C2×D4×C37—41no—
576C2×D4×C37—41no—
577C2×D4×C37—41no—
578C2×D4×C37—44no—
579C2×D4×C37—44no—
580C2×D4×C37—44no—
581C2×D4×C37—44no—
582C2×D4×C37—44no—
583C2×D4×C37—44no—
584C2×D4×C37—82no—
585C2×D4×C37—82no—
586C2×D4×C37—82no—
587C2×D4×C37—82no—
588C2×D4×C37—82no—
589C2×D4×C37—82no—
590C2×D4×C37C2×D411yescharacteristic
591C2×D4×C37C2×D411yescharacteristic
592C2×D4×C37C2×D411yescharacteristic
593C2×D4×C37C2×D411yescharacteristic
594C2×D4×C37C2×D411yescharacteristic
595C2×D4×C37C2×D411yescharacteristic
596C2×D4×C37C2×D411yescharacteristic
597C2×D4×C37C2411yescharacteristic
598C2×D4×C37C2411yescharacteristic
599C2×D4×C37C2411yescharacteristic
600C2×D4×C37C2411yescharacteristic
601C2×D4×C37C2411yescharacteristic
602C2×D4×C37C2411yescharacteristic
603C2×D4×C37C2411yescharacteristic
604C2×D4×C37C2411yescharacteristic
605C22×C4×C37—21no—
606C22×C4×C37—21no—
607C22×C4×C37—21no—
608C22×C4×C37—21no—
609C22×C4×C37—21no—
610C22×C4×C37—21no—
611C22×C4×C37—21no—
612C22×C4×C37—21no—
613C22×C4×C37—21no—
614C22×C4×C37—21no—
615C22×C4×C37—21no—
616C22×C4×C37—21no—
617C22×C4×C37—21no—
618C22×C4×C37—21no—
619C22×C4×C37—41no—
620C22×C4×C37—41no—
621C22×C4×C37C2×D411yescharacteristic
622C22×C4×C37C2×D411yescharacteristic
623C22×C4×C37C2×D411yescharacteristic
624C22×C4×C37C2411yescharacteristic
625C22×C4×C37C2411yescharacteristic
626C22×C4×C37C2411yescharacteristic
627C22×C4×C37C2411yescharacteristic
628C22×C4×C37C2411yescharacteristic
629Q16×C37—41no—
630SD16×C37—22no—
631SD16×C37—22no—
632SD16×C37—41no—
633SD16×C37—41no—
634SD16×C37—41no—
635SD16×C37—41no—
636SD16×C37—41no—
637SD16×C37—41no—
638D8×C37—22no—
639D8×C37—22no—
640D8×C37—22no—
641D8×C37—22no—
642D8×C37—22no—
643D8×C37—22no—
644D8×C37—41no—
645D8×C37—41no—
646D8×C37—41no—
647D8×C37—41no—
648D8×C37—41no—
649D8×C37—41no—
650D8×C37—41no—
651D8×C37—41no—
652D8×C37—41no—
653M16×C37—41no—
654M16×C37—41no—
655M16×C37—41no—
656M16×C37—41no—
657C2×C8×C37—41no—
658C2×C8×C37—41no—
659C2×C8×C37—41no—
660C2×C8×C37—41no—
661C2×C8×C37C2411yescharacteristic
662C2×C8×C37C2411yescharacteristic
663C2×C8×C37C2411yescharacteristic
664C2×C8×C37C2411yescharacteristic
665C2×C8×C37C2411yescharacteristic
666C2×C8×C37C2411yescharacteristic
667C2×C8×C37C2411yescharacteristic
668C2×C8×C37C2411yescharacteristic
669C4⋊C4×C37—21no—
670C4⋊C4×C37—21no—
671C4⋊C4×C37—21no—
672C4⋊C4×C37—21no—
673C4⋊C4×C37—21no—
674C4⋊C4×C37—21no—
675C4⋊C4×C37—21no—
676C4⋊C4×C37—21no—
677C4⋊C4×C37—21no—
678C4⋊C4×C37—21no—
679C4⋊C4×C37—21no—
680C4⋊C4×C37C2×D411yescharacteristic
681C4⋊C4×C37C2×D411yescharacteristic
682C4⋊C4×C37C2×D411yescharacteristic
683C4⋊C4×C37C2×D411yescharacteristic
684C4⋊C4×C37C2×D411yescharacteristic
685C4⋊C4×C37C2×D411yescharacteristic
686C4⋊C4×C37C2411yescharacteristic
687C4⋊C4×C37C2411yescharacteristic
688C4⋊C4×C37C2411yescharacteristic
689C4⋊C4×C37C2411yescharacteristic
690C4⋊C4×C37C2411yescharacteristic
691C4⋊C4×C37C2411yescharacteristic
692C22⋊C4×C37—21no—
693C22⋊C4×C37—21no—
694C22⋊C4×C37—21no—
695C22⋊C4×C37—21no—
696C22⋊C4×C37—21no—
697C22⋊C4×C37—21no—
698C22⋊C4×C37—21no—
699C22⋊C4×C37—21no—
700C22⋊C4×C37—21no—
701C22⋊C4×C37—21no—
702C22⋊C4×C37—21no—
703C22⋊C4×C37—21no—
704C22⋊C4×C37—21no—
705C22⋊C4×C37—21no—
706C22⋊C4×C37—21no—
707C22⋊C4×C37—21no—
708C22⋊C4×C37—21no—
709C22⋊C4×C37—21no—
710C22⋊C4×C37—21no—
711C22⋊C4×C37—21no—
712C22⋊C4×C37—21no—
713C22⋊C4×C37—21no—
714C22⋊C4×C37—21no—
715C22⋊C4×C37—21no—
716C22⋊C4×C37—21no—
717C22⋊C4×C37—21no—
718C22⋊C4×C37—21no—
719C22⋊C4×C37—21no—
720C22⋊C4×C37—21no—
721C22⋊C4×C37—21no—
722C22⋊C4×C37—21no—
723C22⋊C4×C37—21no—
724C22⋊C4×C37—21no—
725C22⋊C4×C37—21no—
726C22⋊C4×C37—21no—
727C22⋊C4×C37—21no—
728C22⋊C4×C37C2×D411yescharacteristic
729C22⋊C4×C37C2×D411yescharacteristic
730C22⋊C4×C37C2×D411yescharacteristic
731C22⋊C4×C37C2×D411yescharacteristic
732C22⋊C4×C37C2×D411yescharacteristic
733C22⋊C4×C37C2×D411yescharacteristic
734C22⋊C4×C37C2×D411yescharacteristic
735C22⋊C4×C37C2×D411yescharacteristic
736C22⋊C4×C37C2×D411yescharacteristic
737C22⋊C4×C37C2×D411yescharacteristic
738C42×C37—21no—
739C42×C37—21no—
740C42×C37—21no—
741C42×C37—21no—
742C42×C37C2411yescharacteristic
743C42×C37C2411yescharacteristic
744C23×C37—24no—
745C23×C37—22no—
746C23×C37—21no—
747C23×C37—21no—
748C23×C37—21no—
749C23×C37—21no—
750C23×C37—21no—
751C23×C37—21no—
752C23×C37—21no—
753C23×C37—21no—
754C23×C37—41no—
755C23×C37—41no—
756C23×C37—42no—
757C23×C37—42no—
758C23×C37—42no—
759C23×C37—42no—
760C23×C37—42no—
761C23×C37—42no—
762C23×C37—42no—
763C23×C37—42no—
764C23×C37—42no—
765C23×C37—42no—
766C23×C37—42no—
767C23×C37—42no—
768C23×C37—81no—
769C23×C37—81no—
770C23×C37—81no—
771C23×C37—81no—
772C23×C37—81no—
773C23×C37—81no—
774C23×C37—81no—
775C23×C37—81no—
776C23×C37—81no—
777C23×C37—81no—
778C23×C37—81no—
779C23×C37—81no—
780C23×C37—81no—
781C23×C37—81no—
782C23×C37—81no—
783C23×C37—81no—
784C23×C37—81no—
785C23×C37—816no—
786C23×C37C22×D411yescharacteristic
787C23×C37C22×D411yescharacteristic
788C23×C37C22×D411yescharacteristic
789C23×C37C22×D411yescharacteristic
790C23×C37C22×D411yescharacteristic
791Q8×C37—21no—
792Q8×C37—21no—
793Q8×C37—21no—
794Q8×C37—21no—
795Q8×C37—41no—
796Q8×C37—81no—
797D4×C37—24no—
798D4×C37—22no—
799D4×C37—22no—
800D4×C37—21no—
801D4×C37—21no—
802D4×C37—21no—
803D4×C37—21no—
804D4×C37—21no—
805D4×C37—21no—
806D4×C37—21no—
807D4×C37—21no—
808D4×C37—21no—
809D4×C37—21no—
810D4×C37—21no—
811D4×C37—21no—
812D4×C37—21no—
813D4×C37—21no—
814D4×C37—41no—
815D4×C37—41no—
816D4×C37—41no—
817D4×C37—41no—
818D4×C37—41no—
819D4×C37—42no—
820D4×C37—42no—
821D4×C37—42no—
822D4×C37—42no—
823D4×C37—42no—
824D4×C37—42no—
825D4×C37—42no—
826D4×C37—42no—
827D4×C37—42no—
828D4×C37—42no—
829D4×C37—42no—
830D4×C37—42no—
831D4×C37—42no—
832D4×C37—81no—
833D4×C37—81no—
834D4×C37—81no—
835D4×C37—81no—
836D4×C37—81no—
837D4×C37—81no—
838D4×C37—81no—
839D4×C37—81no—
840D4×C37—81no—
841D4×C37—81no—
842D4×C37—81no—
843D4×C37—81no—
844D4×C37—81no—
845D4×C37—81no—
846D4×C37—81no—
847D4×C37—81no—
848D4×C37—81no—
849D4×C37—81no—
850D4×C37—81no—
851D4×C37—81no—
852D4×C37—81no—
853D4×C37—81no—
854D4×C37H(5,𝔽2)12yes—
855D4×C37H(5,𝔽2)12yes—
856C2×C4×C37—21no—
857C2×C4×C37—21no—
858C2×C4×C37—21no—
859C2×C4×C37—21no—
860C2×C4×C37—21no—
861C2×C4×C37—21no—
862C2×C4×C37—21no—
863C2×C4×C37—21no—
864C2×C4×C37—21no—
865C2×C4×C37—21no—
866C2×C4×C37—21no—
867C2×C4×C37—21no—
868C2×C4×C37—21no—
869C2×C4×C37—21no—
870C2×C4×C37—21no—
871C2×C4×C37—21no—
872C2×C4×C37—21no—
873C2×C4×C37—21no—
874C2×C4×C37—41no—
875C2×C4×C37—41no—
876C2×C4×C37—41no—
877C2×C4×C37—42no—
878C2×C4×C37—42no—
879C2×C4×C37—42no—
880C2×C4×C37—42no—
881C2×C4×C37—81no—
882C2×C4×C37—81no—
883C2×C4×C37—81no—
884C2×C4×C37—81no—
885C2×C4×C37—81no—
886C2×C4×C37—81no—
887C2×C4×C37—81no—
888C2×C4×C37—81no—
889C2×C4×C37—81no—
890C2×C4×C37—81no—
891C2×C4×C37C22×D411yescharacteristic
892C2×C4×C37C22×D411yescharacteristic
893C2×C4×C37C22×D411yescharacteristic
894C2×C4×C37C22×D411yescharacteristic
895C2×C4×C37C22×D411yescharacteristic
896C2×C4×C37C22×D411yescharacteristic
897C2×C4×C37C22×D411yescharacteristic
898C2×C4×C37C22×D411yescharacteristic
899C2×C4×C37C22×D411yescharacteristic
900C2×C4×C37C2511yescharacteristic
901C8×C37—21no—
902C8×C37—21no—
903C8×C37—21no—
904C8×C37—21no—
905C8×C37—21no—
906C8×C37—21no—
907C8×C37—21no—
908C8×C37—21no—
909#61609C3711yesmaximal, characteristic, direct product factor, Sylow
910C22×C37—21no—
911C22×C37—21no—
912C22×C37—21no—
913C22×C37—21no—
914C22×C37—21no—
915C22×C37—21no—
916C22×C37—21no—
917C22×C37—21no—
918C22×C37—21no—
919C22×C37—21no—
920C22×C37—22no—
921C22×C37—22no—
922C22×C37—21no—
923C22×C37—21no—
924C22×C37—21no—
925C22×C37—21no—
926C22×C37—44no—
927C22×C37—41no—
928C22×C37—41no—
929C22×C37—41no—
930C22×C37—41no—
931C22×C37—41no—
932C22×C37—41no—
933C22×C37—41no—
934C22×C37—41no—
935C22×C37—41no—
936C22×C37—41no—
937C22×C37—41no—
938C22×C37—41no—
939C22×C37—41no—
940C22×C37—41no—
941C22×C37—41no—
942C22×C37—41no—
943C22×C37—41no—
944C22×C37—41no—
945C22×C37—41no—
946C22×C37—41no—
947C22×C37—41no—
948C22×C37—41no—
949C22×C37—84no—
950C22×C37—84no—
951C22×C37—84no—
952C22×C37—84no—
953C22×C37—84no—
954C22×C37—84no—
955C22×C37—162no—
956C22×C37—162no—
957C22×C37—162no—
958C22×C37—162no—
959C22×C37#57612yes—
960C22×C37C23×D411yescharacteristic
961C4×C37—21no—
962C4×C37—21no—
963C4×C37—21no—
964C4×C37—21no—
965C4×C37—21no—
966C4×C37—21no—
967C4×C37—21no—
968C4×C37—21no—
969C4×C37—21no—
970C4×C37—41no—
971C4×C37—41no—
972C4×C37—41no—
973C4×C37—41no—
974C4×C37—41no—
975C4×C37—41no—
976C4×C37—41no—
977C4×C37—41no—
978C4×C37C2×H(5,𝔽2)11yescharacteristic
979C4×C37C2×H(5,𝔽2)11yescharacteristic
980#3542C2×C3711yescharacteristic, complemented
981#3484C2×C3711yescharacteristic, complemented
982#3325C2×C3711yescharacteristic, complemented
983#3322C2×C3711yescharacteristic, complemented
984#3319C2×C3711yescharacteristic, complemented
985#3318C2×C3711yescharacteristic, complemented
986#3310C2×C3711yescharacteristic, complemented
987#3306C2×C3711yescharacteristic, complemented
988#3296C2×C3711yescharacteristic, complemented
989#3294C2×C3711yescharacteristic, complemented
990#3280C2×C3711yescharacteristic, complemented
991D4×D8C2×C3711yescharacteristic, complemented
992#3274C2×C3711yescharacteristic, complemented
993#3273C2×C3711yescharacteristic, complemented
994#3268C2×C3711yescharacteristic, complemented
995#3264C2×C3711yescharacteristic, complemented
996#3264C2×C3711yescharacteristic, complemented
997#3264C2×C3711yescharacteristic, complemented
998#3224C2×C3711yescharacteristic, complemented
999#3220C2×C3711yescharacteristic, complemented
1000#3199C2×C3711yescharacteristic, complemented
1001#3198C2×C3711yescharacteristic, complemented
1002#3194C2×C3711yescharacteristic, complemented
1003#3191C2×C3711yescharacteristic, complemented
1004#3122C2×C3711yescharacteristic, complemented
1005#3118C2×C3711yescharacteristic, complemented
1006#3012C2×C3711yescharacteristic, complemented
1007#3008C2×C3711yescharacteristic, complemented
1008#3003C2×C3711yescharacteristic, complemented
1009C2×#447C2×C3711yescharacteristic, complemented
1010#2976C2×C3711yescharacteristic, complemented
1011C2×C37—22no—
1012C2×C37—41no—
1013C2×C37—41no—
1014C2×C37—41no—
1015C2×C37—41no—
1016C2×C37—42no—
1017C2×C37—42no—
1018C2×C37—81no—
1019C2×C37—81no—
1020C2×C37—81no—
1021C2×C37—81no—
1022C2×C37—81no—
1023C2×C37—81no—
1024C2×C37#348411yescharacteristic
1025C2×C37C2×#57611yescharacteristic
1026C2×C37#358511yescharacteristic
1027C2×H(5,𝔽2)C22×C3711yescharacteristic, complemented
1028C23×D4C22×C3711yescharacteristic, complemented
1029C2×AGL(1,ℤ/8)C22×C3711yescharacteristic, complemented
1030C2×AGL(1,ℤ/8)C22×C3711yescharacteristic, complemented
1031C2×AGL(1,ℤ/8)C22×C3711yescharacteristic, complemented
1032C2×AGL(1,ℤ/8)C22×C3711yescharacteristic, complemented
1033C2×#135C22×C3711yescharacteristic, complemented
1034C22×D8C22×C3711yescharacteristic, complemented
1035C22×D8C22×C3711yescharacteristic, complemented
1036C22×D8C22×C3711yescharacteristic, complemented
1037#562—21no—
1038#560—21no—
1039#555C22×C3711yescharacteristic, complemented
1040#553C22×C3711yescharacteristic, complemented
1041#552C22×C3711yescharacteristic, complemented
1042#551—21no—
1043#550C22×C3711yescharacteristic, complemented
1044#547C22×C3711yescharacteristic, complemented
1045#546—21no—
1046#546—21no—
1047#546—21no—
1048#546C22×C3711yescharacteristic
1049#546C22×C3711yescharacteristic, complemented
1050#546C22×C3711yescharacteristic, complemented
1051#546C22×C3711yescharacteristic, complemented
1052#546C22×C3711yescharacteristic, complemented
1053#546C22×C3711yescharacteristic, complemented
1054D42—21no—
1055D42—21no—
1056D42C22×C3711yescharacteristic
1057D42C22×C3711yescharacteristic, complemented
1058D42C22×C3711yescharacteristic, complemented
1059D42C22×C3711yescharacteristic, complemented
1060D42C22×C3711yescharacteristic, complemented
1061#542C22×C3711yescharacteristic, complemented
1062#540—21no—
1063#540C22×C3711yescharacteristic, complemented
1064#538—21no—
1065#537C22×C3711yescharacteristic, complemented
1066#535—21no—
1067#535C22×C3711yescharacteristic, complemented
1068#535C22×C3711yescharacteristic, complemented
1069#535C22×C3711yescharacteristic, complemented
1070#534—21no—
1071#534—21no—
1072#534—21no—
1073#525C22×C3711yescharacteristic
1074#525C22×C3711yescharacteristic, complemented
1075#525C22×C3711yescharacteristic, complemented
1076C2×#121C22×C3711yescharacteristic, complemented
1077C2×#120—21no—
1078C2×#120—21no—
1079#518C22×C3711yescharacteristic, complemented
1080#496C22×C3711yescharacteristic, complemented
1081#496C22×C3711yescharacteristic, complemented
1082#495C22×C3711yescharacteristic, complemented
1083#493C22×C3711yescharacteristic, complemented
1084#490C22×C3711yescharacteristic, complemented
1085#489C22×C3711yescharacteristic, complemented
1086#488C22×C3711yescharacteristic, complemented
1087#486C22×C3711yescharacteristic, complemented
1088#485C22×C3711yescharacteristic, complemented
1089#485C22×C3711yescharacteristic, complemented
1090#483C22×C3711yescharacteristic, complemented
1091#482C22×C3711yescharacteristic, complemented
1092#482C22×C3711yescharacteristic, complemented
1093#482C22×C3711yescharacteristic, complemented
1094#482C22×C3711yescharacteristic, complemented
1095#482C22×C3711yescharacteristic, complemented
1096#482C22×C3711yescharacteristic, complemented
1097#481C22×C3711yescharacteristic, complemented
1098#480C22×C3711yescharacteristic, complemented
1099#480C22×C3711yescharacteristic, complemented
1100#478C22×C3711yescharacteristic, complemented
1101#478C22×C3711yescharacteristic, complemented
1102#476C22×C3711yescharacteristic, complemented
1103#474C22×C3711yescharacteristic, complemented
1104#469C22×C3711yescharacteristic, complemented
1105#469C22×C3711yescharacteristic, complemented
1106#469C22×C3711yescharacteristic, complemented
1107#469C22×C3711yescharacteristic, complemented
1108#469C22×C3711yescharacteristic, complemented
1109#468C22×C3711yescharacteristic, complemented
1110#468C22×C3711yescharacteristic, complemented
1111#468C22×C3711yescharacteristic, complemented
1112#467C22×C3711yescharacteristic, complemented
1113#466C22×C3711yescharacteristic, complemented
1114#466C22×C3711yescharacteristic, complemented
1115#466C22×C3711yescharacteristic, complemented
1116#466C22×C3711yescharacteristic, complemented
1117#465C22×C3711yescharacteristic, complemented
1118#465C22×C3711yescharacteristic, complemented
1119#465C22×C3711yescharacteristic, complemented
1120#464C22×C3711yescharacteristic, complemented
1121#463C22×C3711yescharacteristic, complemented
1122#463C22×C3711yescharacteristic, complemented
1123#463C22×C3711yescharacteristic, complemented
1124#463C22×C3711yescharacteristic, complemented
1125#463C22×C3711yescharacteristic, complemented
1126#460C22×C3711yescharacteristic, complemented
1127#459C22×C3711yescharacteristic, complemented
1128#459C22×C3711yescharacteristic, complemented
1129#459C22×C3711yescharacteristic, complemented
1130#459C22×C3711yescharacteristic, complemented
1131#459C22×C3711yescharacteristic, complemented
1132#452C22×C3711yescharacteristic, complemented
1133#452C22×C3711yescharacteristic, complemented
1134#452C22×C3711yescharacteristic, complemented
1135#450C22×C3711yescharacteristic, complemented
1136#450C22×C3711yescharacteristic, complemented
1137#450C22×C3711yescharacteristic, complemented
1138#450C22×C3711yescharacteristic, complemented
1139#450C22×C3711yescharacteristic, complemented
1140#450C22×C3711yescharacteristic, complemented
1141#449C22×C3711yescharacteristic, complemented
1142#449C22×C3711yescharacteristic, complemented
1143#449C22×C3711yescharacteristic, complemented
1144#449C22×C3711yescharacteristic, complemented
1145#449C22×C3711yescharacteristic, complemented
1146#449C22×C3711yescharacteristic, complemented
1147#449C22×C3711yescharacteristic, complemented
1148#449C22×C3711yescharacteristic, complemented
1149#449C22×C3711yescharacteristic, complemented
1150#447C22×C3711yescharacteristic
1151#447C22×C3711yescharacteristic, complemented
1152#447C22×C3711yescharacteristic, complemented
1153#447C22×C3711yescharacteristic, complemented
1154#447C22×C3711yescharacteristic, complemented
1155#447C22×C3711yescharacteristic, complemented
1156#447C22×C3711yescharacteristic, complemented
1157#447C22×C3711yescharacteristic, complemented
1158#447C22×C3711yescharacteristic, complemented
1159#447C22×C3711yescharacteristic, complemented
1160#447C22×C3711yescharacteristic, complemented
1161#447C22×C3711yescharacteristic, complemented
1162#447C22×C3711yescharacteristic, complemented
1163#447C22×C3711yescharacteristic, complemented
1164#447C22×C3711yescharacteristic, complemented
1165#447C22×C3711yescharacteristic, complemented
1166#447C22×C3711yescharacteristic, complemented
1167#447C22×C3711yescharacteristic, complemented
1168#442C22×C3711yescharacteristic, complemented
1169#442C22×C3711yescharacteristic, complemented
1170#442C22×C3711yescharacteristic, complemented
1171#440C22×C3711yescharacteristic, complemented
1172C4×SD16C22×C3711yescharacteristic, complemented
1173C4×D8C22×C3711yescharacteristic, complemented
1174C4×D8C22×C3711yescharacteristic, complemented
1175C4×D8C22×C3711yescharacteristic, complemented
1176#436C22×C3711yescharacteristic, complemented
1177#436C22×C3711yescharacteristic, complemented
1178#435C22×C3711yescharacteristic, complemented
1179#435C22×C3711yescharacteristic, complemented
1180#435C22×C3711yescharacteristic, complemented
1181#435C22×C3711yescharacteristic, complemented
1182C8×D4C22×C3711yescharacteristic, complemented
1183C8×D4C22×C3711yescharacteristic, complemented
1184#433C22×C3711yescharacteristic, complemented
1185#433C22×C3711yescharacteristic, complemented
1186#418C22×C3711yescharacteristic, complemented
1187#418C22×C3711yescharacteristic, complemented
1188#418C22×C3711yescharacteristic, complemented
1189#417C22×C3711yescharacteristic, complemented
1190#416C22×C3711yescharacteristic, complemented
1191C2×#102C22×C3711yescharacteristic, complemented
1192C2×#102C22×C3711yescharacteristic, complemented
1193C2×#102C22×C3711yescharacteristic, complemented
1194#408C22×C3711yescharacteristic, complemented
1195#408C22×C3711yescharacteristic, complemented
1196#407C22×C3711yescharacteristic, complemented
1197C2×C22⋊C8C22×C3711yescharacteristic, complemented
1198C37#6160911yescharacteristic, direct product factor, Sylow
1199C25—21no—
1200H(5,𝔽2)—42no—
1201H(5,𝔽2)—42no—
1202C2×#41—21no—
1203C2×#41—21no—
1204C2×#41C23×C3711yescharacteristic
1205C2×#41C23×C3711yescharacteristic
1206C2×#41C23×C3711yescharacteristic
1207C2×#41C23×C3711yescharacteristic
1208C2×#41C23×C3711yescharacteristic
1209C2×#41C23×C3711yescharacteristic, complemented
1210C22×D4—21no—
1211C22×D4—21no—
1212C22×D4—21no—
1213C22×D4—21no—
1214C22×D4—21no—
1215C22×D4—21no—
1216C22×D4—21no—
1217C22×D4—21no—
1218C22×D4—21no—
1219C22×D4—21no—
1220C22×D4—21no—
1221C22×D4—21no—
1222C22×D4—42no—
1223C22×D4—42no—
1224C22×D4C23×C3711yescharacteristic
1225C22×D4C23×C3711yescharacteristic
1226C22×D4C23×C3711yescharacteristic
1227C22×D4C23×C3711yescharacteristic
1228C22×D4C23×C3711yescharacteristic
1229C22×D4C23×C3711yescharacteristic
1230C22×D4C23×C3711yescharacteristic
1231C22×D4C23×C3711yescharacteristic
1232C22×D4C23×C3711yescharacteristic
1233C22×D4C23×C3711yescharacteristic, complemented
1234C23×C4C23×C3711yescharacteristic
1235AGL(1,ℤ/8)—42no—
1236AGL(1,ℤ/8)—42no—
1237AGL(1,ℤ/8)—42no—
1238AGL(1,ℤ/8)—42no—
1239#135—42no—
1240C2×Q16C23×C3711yescharacteristic, complemented
1241C2×SD16C23×C3711yescharacteristic
1242C2×SD16C23×C3711yescharacteristic
1243C2×SD16C23×C3711yescharacteristic
1244C2×SD16C23×C3711yescharacteristic
1245C2×SD16C23×C3711yescharacteristic, complemented
1246C2×SD16C23×C3711yescharacteristic, complemented
1247C2×SD16C23×C3711yescharacteristic, complemented
1248C2×SD16C23×C3711yescharacteristic, complemented
1249C2×D8—42no—
1250C2×D8—42no—
1251C2×D8—42no—
1252C2×D8C23×C3711yescharacteristic
1253C2×D8C23×C3711yescharacteristic
1254C2×D8C23×C3711yescharacteristic
1255C2×D8C23×C3711yescharacteristic
1256C2×D8C23×C3711yescharacteristic
1257C2×D8C23×C3711yescharacteristic
1258C2×D8C23×C3711yescharacteristic
1259C2×D8C23×C3711yescharacteristic
1260C2×D8C23×C3711yescharacteristic
1261C2×D8C23×C3711yescharacteristic
1262C2×D8C23×C3711yescharacteristic
1263C2×D8C23×C3711yescharacteristic
1264C2×D8C23×C3711yescharacteristic, complemented
1265C2×D8C23×C3711yescharacteristic, complemented
1266C2×D8C23×C3711yescharacteristic, complemented
1267C2×M16C23×C3711yescharacteristic
1268C2×M16C23×C3711yescharacteristic
1269C2×M16C23×C3711yescharacteristic, complemented
1270C2×M16C23×C3711yescharacteristic, complemented
1271C22×C8C23×C3711yescharacteristic
1272C22×C8C23×C3711yescharacteristic
1273C22×C8C23×C3711yescharacteristic, complemented
1274C22×C8C23×C3711yescharacteristic, complemented
1275C4⋊Q8C23×C3711yescharacteristic, complemented
1276#127—21no—
1277#127—21no—
1278#127—21no—
1279#127C23×C3711yescharacteristic
1280#127C23×C3711yescharacteristic
1281#127C23×C3711yescharacteristic, complemented
1282#126—21no—
1283#126—21no—
1284#126—21no—
1285#125—21no—
1286#125C23×C3711yescharacteristic, complemented
1287#124—21no—
1288#124—21no—
1289#124—21no—
1290#124—21no—
1291#124—21no—
1292#124C23×C3711yescharacteristic
1293#124C23×C3711yescharacteristic
1294#124C23×C3711yescharacteristic, complemented
1295#123—21no—
1296#123—21no—
1297#123—21no—
1298#123—21no—
1299#123—21no—
1300#123—21no—
1301#123—21no—
1302#123—21no—
1303#123—21no—
1304#123—21no—
1305#123—21no—
1306#123—21no—
1307#123—21no—
1308#123—21no—
1309#123—21no—
1310#123D4×C3711yescharacteristic
1311#123D4×C3711yescharacteristic
1312C22⋊Q8—21no—
1313C22⋊Q8—21no—
1314C22⋊Q8—21no—
1315C22⋊Q8D4×C3711yescharacteristic
1316C22⋊Q8D4×C3711yescharacteristic
1317C22⋊Q8C23×C3711yescharacteristic
1318C22⋊Q8C23×C3711yescharacteristic
1319C22⋊Q8C23×C3711yescharacteristic
1320C22⋊Q8C23×C3711yescharacteristic
1321C22⋊Q8C23×C3711yescharacteristic, complemented
1322#121—21no—
1323#121—21no—
1324#121—21no—
1325#121—21no—
1326#121—21no—
1327#121—21no—
1328#121—21no—
1329#121—21no—
1330#121—21no—
1331#121—21no—
1332#121—21no—
1333#121—21no—
1334#121—21no—
1335#121—21no—
1336#121—21no—
1337#121—21no—
1338#121—21no—
1339#121—21no—
1340#121—21no—
1341#121—21no—
1342#121—21no—
1343#121—21no—
1344#121—21no—
1345#121—21no—
1346#121D4×C3711yescharacteristic
1347#121D4×C3711yescharacteristic
1348#121C23×C3711yescharacteristic
1349#121C23×C3711yescharacteristic
1350#121C23×C3711yescharacteristic
1351#121C23×C3711yescharacteristic
1352#121C23×C3711yescharacteristic
1353#121C23×C3711yescharacteristic
1354#121C23×C3711yescharacteristic
1355#121C23×C3711yescharacteristic
1356#121C23×C3711yescharacteristic
1357#121C23×C3711yescharacteristic
1358#121C23×C3711yescharacteristic
1359#121C23×C3711yescharacteristic
1360#121C23×C3711yescharacteristic, complemented
1361#121C23×C3711yescharacteristic, complemented
1362#121C23×C3711yescharacteristic, complemented
1363#120—21no—
1364#120—21no—
1365#120—21no—
1366#120—21no—
1367#120—21no—
1368#120—21no—
1369#120—21no—
1370#120—21no—
1371#120—21no—
1372#120—21no—
1373#120—21no—
1374#120—21no—
1375#120—21no—
1376#120—21no—
1377#120—21no—
1378#120—21no—
1379#120—21no—
1380#120—21no—
1381#120—21no—
1382#120—21no—
1383#120—21no—
1384#120—21no—
1385#120—21no—
1386#120—21no—
1387#120D4×C3711yescharacteristic
1388#120D4×C3711yescharacteristic
1389C4×Q8C23×C3711yescharacteristic, complemented
1390C4×D4—21no—
1391C4×D4—21no—
1392C4×D4—21no—
1393C4×D4—21no—
1394C4×D4—21no—
1395C4×D4—21no—
1396C4×D4—21no—
1397C4×D4—21no—
1398C4×D4C23×C3711yescharacteristic
1399C4×D4C23×C3711yescharacteristic
1400C4×D4C23×C3711yescharacteristic
1401C4×D4C23×C3711yescharacteristic
1402C4×D4C23×C3711yescharacteristic
1403C4×D4C23×C3711yescharacteristic
1404C4×D4C23×C3711yescharacteristic
1405C4×D4C23×C3711yescharacteristic
1406C4×D4C23×C3711yescharacteristic, complemented
1407C4×D4C23×C3711yescharacteristic, complemented
1408C4×D4C23×C3711yescharacteristic, complemented
1409#117—21no—
1410#117—21no—
1411#117C23×C3711yescharacteristic
1412#117C23×C3711yescharacteristic
1413#117C23×C3711yescharacteristic
1414#117C23×C3711yescharacteristic, complemented
1415C2×C4⋊C4C23×C3711yescharacteristic
1416C2×C4⋊C4C23×C3711yescharacteristic, complemented
1417C2×C22⋊C4—21no—
1418C2×C22⋊C4—21no—
1419C2×C22⋊C4—21no—
1420C2×C22⋊C4—21no—
1421C2×C22⋊C4—21no—
1422C2×C22⋊C4—21no—
1423C2×C22⋊C4—21no—
1424C2×C22⋊C4—21no—
1425C2×C22⋊C4—21no—
1426#107C23×C3711yescharacteristic, complemented
1427#107C23×C3711yescharacteristic, complemented
1428#107C23×C3711yescharacteristic, complemented
1429#107C23×C3711yescharacteristic, complemented
1430#106C23×C3711yescharacteristic, complemented
1431#106C23×C3711yescharacteristic, complemented
1432#106C23×C3711yescharacteristic, complemented
1433#106C23×C3711yescharacteristic, complemented
1434C4⋊C8C23×C3711yescharacteristic, complemented
1435C4⋊C8C23×C3711yescharacteristic, complemented
1436C4⋊C8C23×C3711yescharacteristic, complemented
1437C4⋊C8C23×C3711yescharacteristic, complemented
1438#103C23×C3711yescharacteristic, complemented
1439#103C23×C3711yescharacteristic, complemented
1440#103C23×C3711yescharacteristic, complemented
1441#103C23×C3711yescharacteristic, complemented
1442#103C23×C3711yescharacteristic, complemented
1443#103C23×C3711yescharacteristic, complemented
1444#102C23×C3711yescharacteristic
1445#102C23×C3711yescharacteristic
1446#102C23×C3711yescharacteristic
1447#102C23×C3711yescharacteristic
1448#102C23×C3711yescharacteristic
1449#102C23×C3711yescharacteristic
1450#102C23×C3711yescharacteristic
1451#102C23×C3711yescharacteristic
1452#102C23×C3711yescharacteristic
1453#102C23×C3711yescharacteristic
1454#102C23×C3711yescharacteristic
1455#102C23×C3711yescharacteristic
1456#102C23×C3711yescharacteristic
1457#102C23×C3711yescharacteristic
1458#102C23×C3711yescharacteristic
1459#102C23×C3711yescharacteristic
1460#102C23×C3711yescharacteristic, complemented
1461#102C23×C3711yescharacteristic, complemented
1462#102C23×C3711yescharacteristic, complemented
1463#102C23×C3711yescharacteristic, complemented
1464#102C23×C3711yescharacteristic, complemented
1465#102C23×C3711yescharacteristic, complemented
1466#102C23×C3711yescharacteristic, complemented
1467#102C23×C3711yescharacteristic, complemented
1468#102C23×C3711yescharacteristic, complemented
1469#102C23×C3711yescharacteristic, complemented
1470C22⋊C8C23×C3711yescharacteristic
1471C22⋊C8C23×C3711yescharacteristic
1472C22⋊C8C23×C3711yescharacteristic
1473C22⋊C8C23×C3711yescharacteristic
1474C22⋊C8C23×C3711yescharacteristic
1475C22⋊C8C23×C3711yescharacteristic
1476C22⋊C8C23×C3711yescharacteristic
1477C22⋊C8C23×C3711yescharacteristic
1478C22⋊C8C23×C3711yescharacteristic, complemented
1479C22⋊C8C23×C3711yescharacteristic, complemented
1480C22⋊C8C23×C3711yescharacteristic, complemented
1481C22⋊C8C23×C3711yescharacteristic, complemented
1482#97C23×C3711yescharacteristic, complemented
1483#97C23×C3711yescharacteristic, complemented
1484C4×C8C23×C3711yescharacteristic, complemented
1485C4×C8C23×C3711yescharacteristic, complemented
1486C24—21no—
1487C24—21no—
1488C24—21no—
1489C24—21no—
1490C24—21no—
1491C24—21no—
1492C24—21no—
1493C24—21no—
1494C24—21no—
1495C24—21no—
1496C24—44no—
1497C24—82no—
1498C24—82no—
1499C24C2×D4×C3711yescharacteristic
1500#41—22no—
1501#41—22no—
1502#41—41no—
1503#41—41no—
1504#41—41no—
1505#41—41no—
1506#41—41no—
1507#41—41no—
1508#41—41no—
1509#41—41no—
1510#41—41no—
1511#41—41no—
1512#41—44no—
1513#41—82no—
1514C2×Q8—21no—
1515C2×Q8C2×D4×C3711yescharacteristic
1516C2×Q8C24×C3711yescharacteristic
1517C2×Q8C24×C3711yescharacteristic
1518C2×D4—22no—
1519C2×D4—22no—
1520C2×D4—22no—
1521C2×D4—22no—
1522C2×D4—22no—
1523C2×D4—22no—
1524C2×D4—22no—
1525C2×D4—22no—
1526C2×D4—21no—
1527C2×D4—21no—
1528C2×D4—21no—
1529C2×D4—21no—
1530C2×D4—21no—
1531C2×D4—21no—
1532C2×D4—21no—
1533C2×D4—21no—
1534C2×D4—21no—
1535C2×D4—21no—
1536C2×D4—21no—
1537C2×D4—21no—
1538C2×D4—21no—
1539C2×D4—21no—
1540C2×D4—21no—
1541C2×D4—21no—
1542C2×D4—21no—
1543C2×D4—21no—
1544C2×D4—21no—
1545C2×D4—21no—
1546C2×D4—21no—
1547C2×D4—21no—
1548C2×D4—21no—
1549C2×D4—21no—
1550C2×D4—21no—
1551C2×D4—21no—
1552C2×D4—21no—
1553C2×D4—21no—
1554C2×D4—21no—
1555C2×D4—21no—
1556C2×D4—21no—
1557C2×D4—21no—
1558C2×D4—21no—
1559C2×D4—21no—
1560C2×D4—21no—
1561C2×D4—21no—
1562C2×D4—41no—
1563C2×D4—41no—
1564C2×D4—41no—
1565C2×D4—41no—
1566C2×D4—41no—
1567C2×D4—41no—
1568C2×D4—41no—
1569C2×D4—41no—
1570C2×D4—41no—
1571C2×D4—41no—
1572C2×D4—41no—
1573C2×D4—41no—
1574C2×D4—44no—
1575C2×D4—44no—
1576C2×D4—44no—
1577C2×D4—44no—
1578C2×D4—44no—
1579C2×D4—44no—
1580C2×D4—82no—
1581C2×D4—82no—
1582C2×D4—82no—
1583C2×D4—82no—
1584C2×D4—82no—
1585C2×D4—82no—
1586C2×D4C2×D4×C3711yescharacteristic
1587C2×D4C2×D4×C3711yescharacteristic
1588C2×D4C2×D4×C3711yescharacteristic
1589C2×D4C2×D4×C3711yescharacteristic
1590C2×D4C2×D4×C3711yescharacteristic
1591C2×D4C2×D4×C3711yescharacteristic
1592C2×D4C2×D4×C3711yescharacteristic
1593C2×D4C24×C3711yescharacteristic
1594C2×D4C24×C3711yescharacteristic
1595C2×D4C24×C3711yescharacteristic
1596C2×D4C24×C3711yescharacteristic
1597C2×D4C24×C3711yescharacteristic
1598C2×D4C24×C3711yescharacteristic
1599C2×D4C24×C3711yescharacteristic
1600C2×D4C24×C3711yescharacteristic
1601C22×C4—21no—
1602C22×C4—21no—
1603C22×C4—21no—
1604C22×C4—21no—
1605C22×C4—21no—
1606C22×C4—21no—
1607C22×C4—21no—
1608C22×C4—21no—
1609C22×C4—21no—
1610C22×C4—21no—
1611C22×C4—21no—
1612C22×C4—21no—
1613C22×C4—21no—
1614C22×C4—21no—
1615C22×C4—41no—
1616C22×C4—41no—
1617C22×C4C2×D4×C3711yescharacteristic
1618C22×C4C2×D4×C3711yescharacteristic
1619C22×C4C2×D4×C3711yescharacteristic
1620C22×C4C24×C3711yescharacteristic
1621C22×C4C24×C3711yescharacteristic
1622C22×C4C24×C3711yescharacteristic
1623C22×C4C24×C3711yescharacteristic
1624C22×C4C24×C3711yescharacteristic
1625Q16—41no—
1626SD16—22no—
1627SD16—22no—
1628SD16—41no—
1629SD16—41no—
1630SD16—41no—
1631SD16—41no—
1632SD16—41no—
1633SD16—41no—
1634D8—22no—
1635D8—22no—
1636D8—22no—
1637D8—22no—
1638D8—22no—
1639D8—22no—
1640D8—41no—
1641D8—41no—
1642D8—41no—
1643D8—41no—
1644D8—41no—
1645D8—41no—
1646D8—41no—
1647D8—41no—
1648D8—41no—
1649M16—41no—
1650M16—41no—
1651M16—41no—
1652M16—41no—
1653C2×C8—41no—
1654C2×C8—41no—
1655C2×C8—41no—
1656C2×C8—41no—
1657C2×C8C24×C3711yescharacteristic
1658C2×C8C24×C3711yescharacteristic
1659C2×C8C24×C3711yescharacteristic
1660C2×C8C24×C3711yescharacteristic
1661C2×C8C24×C3711yescharacteristic
1662C2×C8C24×C3711yescharacteristic
1663C2×C8C24×C3711yescharacteristic
1664C2×C8C24×C3711yescharacteristic
1665C4⋊C4—21no—
1666C4⋊C4—21no—
1667C4⋊C4—21no—
1668C4⋊C4—21no—
1669C4⋊C4—21no—
1670C4⋊C4—21no—
1671C4⋊C4—21no—
1672C4⋊C4—21no—
1673C4⋊C4—21no—
1674C4⋊C4—21no—
1675C4⋊C4—21no—
1676C4⋊C4C2×D4×C3711yescharacteristic
1677C4⋊C4C2×D4×C3711yescharacteristic
1678C4⋊C4C2×D4×C3711yescharacteristic
1679C4⋊C4C2×D4×C3711yescharacteristic
1680C4⋊C4C2×D4×C3711yescharacteristic
1681C4⋊C4C2×D4×C3711yescharacteristic
1682C4⋊C4C24×C3711yescharacteristic
1683C4⋊C4C24×C3711yescharacteristic
1684C4⋊C4C24×C3711yescharacteristic
1685C4⋊C4C24×C3711yescharacteristic
1686C4⋊C4C24×C3711yescharacteristic
1687C4⋊C4C24×C3711yescharacteristic
1688C22⋊C4—21no—
1689C22⋊C4—21no—
1690C22⋊C4—21no—
1691C22⋊C4—21no—
1692C22⋊C4—21no—
1693C22⋊C4—21no—
1694C22⋊C4—21no—
1695C22⋊C4—21no—
1696C22⋊C4—21no—
1697C22⋊C4—21no—
1698C22⋊C4—21no—
1699C22⋊C4—21no—
1700C22⋊C4—21no—
1701C22⋊C4—21no—
1702C22⋊C4—21no—
1703C22⋊C4—21no—
1704C22⋊C4—21no—
1705C22⋊C4—21no—
1706C22⋊C4—21no—
1707C22⋊C4—21no—
1708C22⋊C4—21no—
1709C22⋊C4—21no—
1710C22⋊C4—21no—
1711C22⋊C4—21no—
1712C22⋊C4—21no—
1713C22⋊C4—21no—
1714C22⋊C4—21no—
1715C22⋊C4—21no—
1716C22⋊C4—21no—
1717C22⋊C4—21no—
1718C22⋊C4—21no—
1719C22⋊C4—21no—
1720C22⋊C4—21no—
1721C22⋊C4—21no—
1722C22⋊C4—21no—
1723C22⋊C4—21no—
1724C22⋊C4C2×D4×C3711yescharacteristic
1725C22⋊C4C2×D4×C3711yescharacteristic
1726C22⋊C4C2×D4×C3711yescharacteristic
1727C22⋊C4C2×D4×C3711yescharacteristic
1728C22⋊C4C2×D4×C3711yescharacteristic
1729C22⋊C4C2×D4×C3711yescharacteristic
1730C22⋊C4C2×D4×C3711yescharacteristic
1731C22⋊C4C2×D4×C3711yescharacteristic
1732C22⋊C4C2×D4×C3711yescharacteristic
1733C22⋊C4C2×D4×C3711yescharacteristic
1734C42—21no—
1735C42—21no—
1736C42—21no—
1737C42—21no—
1738C42C24×C3711yescharacteristic
1739C42C24×C3711yescharacteristic
1740C23—24no—
1741C23—22no—
1742C23—21no—
1743C23—21no—
1744C23—21no—
1745C23—21no—
1746C23—21no—
1747C23—21no—
1748C23—21no—
1749C23—21no—
1750C23—41no—
1751C23—41no—
1752C23—42no—
1753C23—42no—
1754C23—42no—
1755C23—42no—
1756C23—42no—
1757C23—42no—
1758C23—42no—
1759C23—42no—
1760C23—42no—
1761C23—42no—
1762C23—42no—
1763C23—42no—
1764C23—81no—
1765C23—81no—
1766C23—81no—
1767C23—81no—
1768C23—81no—
1769C23—81no—
1770C23—81no—
1771C23—81no—
1772C23—81no—
1773C23—81no—
1774C23—81no—
1775C23—81no—
1776C23—81no—
1777C23—81no—
1778C23—81no—
1779C23—81no—
1780C23—81no—
1781C23—816no—
1782C23C22×D4×C3711yescharacteristic
1783C23C22×D4×C3711yescharacteristic
1784C23C22×D4×C3711yescharacteristic
1785C23C22×D4×C3711yescharacteristic
1786C23C22×D4×C3711yescharacteristic
1787Q8—21no—
1788Q8—21no—
1789Q8—21no—
1790Q8—21no—
1791Q8—41no—
1792Q8—81no—
1793D4—24no—
1794D4—22no—
1795D4—22no—
1796D4—21no—
1797D4—21no—
1798D4—21no—
1799D4—21no—
1800D4—21no—
1801D4—21no—
1802D4—21no—
1803D4—21no—
1804D4—21no—
1805D4—21no—
1806D4—21no—
1807D4—21no—
1808D4—21no—
1809D4—21no—
1810D4—41no—
1811D4—41no—
1812D4—41no—
1813D4—41no—
1814D4—41no—
1815D4—42no—
1816D4—42no—
1817D4—42no—
1818D4—42no—
1819D4—42no—
1820D4—42no—
1821D4—42no—
1822D4—42no—
1823D4—42no—
1824D4—42no—
1825D4—42no—
1826D4—42no—
1827D4—42no—
1828D4—81no—
1829D4—81no—
1830D4—81no—
1831D4—81no—
1832D4—81no—
1833D4—81no—
1834D4—81no—
1835D4—81no—
1836D4—81no—
1837D4—81no—
1838D4—81no—
1839D4—81no—
1840D4—81no—
1841D4—81no—
1842D4—81no—
1843D4—81no—
1844D4—81no—
1845D4—81no—
1846D4—81no—
1847D4—81no—
1848D4—81no—
1849D4—81no—
1850D4H(5,𝔽2)×C3712yes—
1851D4H(5,𝔽2)×C3712yes—
1852C2×C4—21no—
1853C2×C4—21no—
1854C2×C4—21no—
1855C2×C4—21no—
1856C2×C4—21no—
1857C2×C4—21no—
1858C2×C4—21no—
1859C2×C4—21no—
1860C2×C4—21no—
1861C2×C4—21no—
1862C2×C4—21no—
1863C2×C4—21no—
1864C2×C4—21no—
1865C2×C4—21no—
1866C2×C4—21no—
1867C2×C4—21no—
1868C2×C4—21no—
1869C2×C4—21no—
1870C2×C4—41no—
1871C2×C4—41no—
1872C2×C4—41no—
1873C2×C4—42no—
1874C2×C4—42no—
1875C2×C4—42no—
1876C2×C4—42no—
1877C2×C4—81no—
1878C2×C4—81no—
1879C2×C4—81no—
1880C2×C4—81no—
1881C2×C4—81no—
1882C2×C4—81no—
1883C2×C4—81no—
1884C2×C4—81no—
1885C2×C4—81no—
1886C2×C4—81no—
1887C2×C4C22×D4×C3711yescharacteristic
1888C2×C4C22×D4×C3711yescharacteristic
1889C2×C4C22×D4×C3711yescharacteristic
1890C2×C4C22×D4×C3711yescharacteristic
1891C2×C4C22×D4×C3711yescharacteristic
1892C2×C4C22×D4×C3711yescharacteristic
1893C2×C4C22×D4×C3711yescharacteristic
1894C2×C4C22×D4×C3711yescharacteristic
1895C2×C4C22×D4×C3711yescharacteristic
1896C2×C4C25×C3711yescharacteristic
1897C8—21no—
1898C8—21no—
1899C8—21no—
1900C8—21no—
1901C8—21no—
1902C8—21no—
1903C8—21no—
1904C8—21no—
1905C22—21no—
1906C22—21no—
1907C22—21no—
1908C22—21no—
1909C22—21no—
1910C22—21no—
1911C22—22no—
1912C22—22no—
1913C22—21no—
1914C22—21no—
1915C22—21no—
1916C22—21no—
1917C22—21no—
1918C22—21no—
1919C22—21no—
1920C22—21no—
1921C22—44no—
1922C22—41no—
1923C22—41no—
1924C22—41no—
1925C22—41no—
1926C22—41no—
1927C22—41no—
1928C22—41no—
1929C22—41no—
1930C22—41no—
1931C22—41no—
1932C22—41no—
1933C22—41no—
1934C22—41no—
1935C22—41no—
1936C22—41no—
1937C22—41no—
1938C22—41no—
1939C22—41no—
1940C22—41no—
1941C22—41no—
1942C22—41no—
1943C22—41no—
1944C22—84no—
1945C22—84no—
1946C22—84no—
1947C22—84no—
1948C22—84no—
1949C22—84no—
1950C22—162no—
1951C22—162no—
1952C22—162no—
1953C22—162no—
1954C22C37×#57612yes—
1955C22C23×D4×C3711yescharacteristic
1956C4—21no—
1957C4—21no—
1958C4—21no—
1959C4—21no—
1960C4—21no—
1961C4—21no—
1962C4—21no—
1963C4—21no—
1964C4—21no—
1965C4—41no—
1966C4—41no—
1967C4—41no—
1968C4—41no—
1969C4—41no—
1970C4—41no—
1971C4—41no—
1972C4—41no—
1973C4C2×H(5,𝔽2)×C3711yescharacteristic
1974C4C2×H(5,𝔽2)×C3711yescharacteristic
1975C2—22no—
1976C2—41no—
1977C2—41no—
1978C2—41no—
1979C2—41no—
1980C2—42no—
1981C2—42no—
1982C2—81no—
1983C2—81no—
1984C2—81no—
1985C2—81no—
1986C2—81no—
1987C2—81no—
1988C2C37×#348411yescharacteristic
1989C2C2×C37×#57611yescharacteristic
1990C2C37×#358511yescharacteristic
subgroupG/H
center, socleC22×C37C23×D4
commutator, Frattini, cosocleC2×C4C25×C37
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C37 ◁ C37×#525 ◁ G

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C37×#3542C2semidirect
2. C37×#3484C2semidirect
3. C37×#3325C2semidirect
4. C37×#3322C2semidirect
5. C37×#3319C2semidirect
6. C37×#3318C2semidirect
7. C37×#3310C2semidirect
8. C37×#3306C2semidirect
9. C37×#3296C2semidirect
10. C37×#3294C2semidirect
11. C37×#3280C2semidirect
12. D4×D8×C37C2semidirect
13. C37×#3274C2semidirect
14. C37×#3273C2semidirect
15. C37×#3268C2semidirect
16. C37×#3264C2semidirect
17. C37×#3264C2semidirect
18. C37×#3264C2semidirect
19. C37×#3224C2semidirect
20. C37×#3220C2semidirect
21. C37×#3199C2semidirect
22. C37×#3198C2semidirect
23. C37×#3194C2semidirect
24. C37×#3191C2semidirect
25. C37×#3122C2semidirect
26. C37×#3118C2semidirect
27. C37×#3012C2semidirect
28. C37×#3008C2semidirect
29. C37×#3003C2semidirect
30. C2×C37×#447C2semidirect
31. C37×#2976C2semidirect
32. C2×H(5,𝔽2)×C37C22semidirect
33. C23×D4×C37C22semidirect
34. C2×AGL(1,ℤ/8)×C37C22semidirect
35. C2×AGL(1,ℤ/8)×C37C22semidirect
36. C2×AGL(1,ℤ/8)×C37C22semidirect
37. C2×AGL(1,ℤ/8)×C37C22semidirect
38. C2×#135×C37C22semidirect
39. C22×D8×C37C22semidirect
40. C22×D8×C37C22semidirect
41. C22×D8×C37C22semidirect
44. C37×#555C22semidirect
45. C37×#553C22semidirect
46. C37×#552C22semidirect
48. C37×#550C22semidirect
49. C37×#547C22semidirect
54. C37×#546C22semidirect
55. C37×#546C22semidirect
56. C37×#546C22semidirect
57. C37×#546C22semidirect
58. C37×#546C22semidirect
62. D42×C37C22semidirect
63. D42×C37C22semidirect
64. D42×C37C22semidirect
65. D42×C37C22semidirect
66. C37×#542C22semidirect
68. C37×#540C22semidirect
70. C37×#537C22semidirect
72. C37×#535C22semidirect
73. C37×#535C22semidirect
74. C37×#535C22semidirect
79. C37×#525C22semidirect
80. C37×#525C22semidirect
81. C2×#121×C37C22semidirect
84. C37×#518C22semidirect
85. C37×#496C22semidirect
86. C37×#496C22semidirect
87. C37×#495C22semidirect
88. C37×#493C22semidirect
89. C37×#490C22semidirect
90. C37×#489C22semidirect
91. C37×#488C22semidirect
92. C37×#486C22semidirect
93. C37×#485C22semidirect
94. C37×#485C22semidirect
95. C37×#483C22semidirect
96. C37×#482C22semidirect
97. C37×#482C22semidirect
98. C37×#482C22semidirect
99. C37×#482C22semidirect
100. C37×#482C22semidirect
101. C37×#482C22semidirect
102. C37×#481C22semidirect
103. C37×#480C22semidirect
104. C37×#480C22semidirect
105. C37×#478C22semidirect
106. C37×#478C22semidirect
107. C37×#476C22semidirect
108. C37×#474C22semidirect
109. C37×#469C22semidirect
110. C37×#469C22semidirect
111. C37×#469C22semidirect
112. C37×#469C22semidirect
113. C37×#469C22semidirect
114. C37×#468C22semidirect
115. C37×#468C22semidirect
116. C37×#468C22semidirect
117. C37×#467C22semidirect
118. C37×#466C22semidirect
119. C37×#466C22semidirect
120. C37×#466C22semidirect
121. C37×#466C22semidirect
122. C37×#465C22semidirect
123. C37×#465C22semidirect
124. C37×#465C22semidirect
125. C37×#464C22semidirect
126. C37×#463C22semidirect
127. C37×#463C22semidirect
128. C37×#463C22semidirect
129. C37×#463C22semidirect
130. C37×#463C22semidirect
131. C37×#460C22semidirect
132. C37×#459C22semidirect
133. C37×#459C22semidirect
134. C37×#459C22semidirect
135. C37×#459C22semidirect
136. C37×#459C22semidirect
137. C37×#452C22semidirect
138. C37×#452C22semidirect
139. C37×#452C22semidirect
140. C37×#450C22semidirect
141. C37×#450C22semidirect
142. C37×#450C22semidirect
143. C37×#450C22semidirect
144. C37×#450C22semidirect
145. C37×#450C22semidirect
146. C37×#449C22semidirect
147. C37×#449C22semidirect
148. C37×#449C22semidirect
149. C37×#449C22semidirect
150. C37×#449C22semidirect
151. C37×#449C22semidirect
152. C37×#449C22semidirect
153. C37×#449C22semidirect
154. C37×#449C22semidirect
156. C37×#447C22semidirect
157. C37×#447C22semidirect
158. C37×#447C22semidirect
159. C37×#447C22semidirect
160. C37×#447C22semidirect
161. C37×#447C22semidirect
162. C37×#447C22semidirect
163. C37×#447C22semidirect
164. C37×#447C22semidirect
165. C37×#447C22semidirect
166. C37×#447C22semidirect
167. C37×#447C22semidirect
168. C37×#447C22semidirect
169. C37×#447C22semidirect
170. C37×#447C22semidirect
171. C37×#447C22semidirect
172. C37×#447C22semidirect
173. C37×#442C22semidirect
174. C37×#442C22semidirect
175. C37×#442C22semidirect
176. C37×#440C22semidirect
177. C4×SD16×C37C22semidirect
178. C4×D8×C37C22semidirect
179. C4×D8×C37C22semidirect
180. C4×D8×C37C22semidirect
181. C37×#436C22semidirect
182. C37×#436C22semidirect
183. C37×#435C22semidirect
184. C37×#435C22semidirect
185. C37×#435C22semidirect
186. C37×#435C22semidirect
187. C8×D4×C37C22semidirect
188. C8×D4×C37C22semidirect
189. C37×#433C22semidirect
190. C37×#433C22semidirect
191. C37×#418C22semidirect
192. C37×#418C22semidirect
193. C37×#418C22semidirect
194. C37×#417C22semidirect
195. C37×#416C22semidirect
196. C2×#102×C37C22semidirect
197. C2×#102×C37C22semidirect
198. C2×#102×C37C22semidirect
199. C37×#408C22semidirect
200. C37×#408C22semidirect
201. C37×#407C22semidirect
202. C2×C22⋊C8×C37C22semidirect
213. C2×#41×C37C23semidirect
237. C22×D4×C37C23semidirect
244. C2×Q16×C37C23semidirect
249. C2×SD16×C37C23semidirect
250. C2×SD16×C37C23semidirect
251. C2×SD16×C37C23semidirect
252. C2×SD16×C37C23semidirect
268. C2×D8×C37C23semidirect
269. C2×D8×C37C23semidirect
270. C2×D8×C37C23semidirect
273. C2×M16×C37C23semidirect
274. C2×M16×C37C23semidirect
277. C22×C8×C37C23semidirect
278. C22×C8×C37C23semidirect
279. C4⋊Q8×C37C23semidirect
285. #127×C37C23semidirect
290. #125×C37C23semidirect
298. #124×C37C23semidirect
325. C22⋊Q8×C37C23semidirect
364. #121×C37C23semidirect
365. #121×C37C23semidirect
366. #121×C37C23semidirect
393. C4×Q8×C37C23semidirect
410. C4×D4×C37C23semidirect
411. C4×D4×C37C23semidirect
412. C4×D4×C37C23semidirect
418. #117×C37C23semidirect
420. C2×C4⋊C4×C37C23semidirect
430. #107×C37C23semidirect
431. #107×C37C23semidirect
432. #107×C37C23semidirect
433. #107×C37C23semidirect
434. #106×C37C23semidirect
435. #106×C37C23semidirect
436. #106×C37C23semidirect
437. #106×C37C23semidirect
438. C4⋊C8×C37C23semidirect
439. C4⋊C8×C37C23semidirect
440. C4⋊C8×C37C23semidirect
441. C4⋊C8×C37C23semidirect
442. #103×C37C23semidirect
443. #103×C37C23semidirect
444. #103×C37C23semidirect
445. #103×C37C23semidirect
446. #103×C37C23semidirect
447. #103×C37C23semidirect
464. #102×C37C23semidirect
465. #102×C37C23semidirect
466. #102×C37C23semidirect
467. #102×C37C23semidirect
468. #102×C37C23semidirect
469. #102×C37C23semidirect
470. #102×C37C23semidirect
471. #102×C37C23semidirect
472. #102×C37C23semidirect
473. #102×C37C23semidirect
482. C22⋊C8×C37C23semidirect
483. C22⋊C8×C37C23semidirect
484. C22⋊C8×C37C23semidirect
485. C22⋊C8×C37C23semidirect
486. #97×C37C23semidirect
487. #97×C37C23semidirect
488. C4×C8×C37C23semidirect
489. C4×C8×C37C23semidirect
909. #61609C37direct (N × H)
980. #3542C2×C37semidirect
981. #3484C2×C37semidirect
982. #3325C2×C37semidirect
983. #3322C2×C37semidirect
984. #3319C2×C37semidirect
985. #3318C2×C37semidirect
986. #3310C2×C37semidirect
987. #3306C2×C37semidirect
988. #3296C2×C37semidirect
989. #3294C2×C37semidirect
990. #3280C2×C37semidirect
991. D4×D8C2×C37semidirect
992. #3274C2×C37semidirect
993. #3273C2×C37semidirect
994. #3268C2×C37semidirect
995. #3264C2×C37semidirect
996. #3264C2×C37semidirect
997. #3264C2×C37semidirect
998. #3224C2×C37semidirect
999. #3220C2×C37semidirect
1000. #3199C2×C37semidirect
1001. #3198C2×C37semidirect
1002. #3194C2×C37semidirect
1003. #3191C2×C37semidirect
1004. #3122C2×C37semidirect
1005. #3118C2×C37semidirect
1006. #3012C2×C37semidirect
1007. #3008C2×C37semidirect
1008. #3003C2×C37semidirect
1009. C2×#447C2×C37semidirect
1010. #2976C2×C37semidirect
1027. C2×H(5,𝔽2)C22×C37semidirect
1028. C23×D4C22×C37semidirect
1029. C2×AGL(1,ℤ/8)C22×C37semidirect
1030. C2×AGL(1,ℤ/8)C22×C37semidirect
1031. C2×AGL(1,ℤ/8)C22×C37semidirect
1032. C2×AGL(1,ℤ/8)C22×C37semidirect
1033. C2×#135C22×C37semidirect
1034. C22×D8C22×C37semidirect
1035. C22×D8C22×C37semidirect
1036. C22×D8C22×C37semidirect
1039. #555C22×C37semidirect
1040. #553C22×C37semidirect
1041. #552C22×C37semidirect
1043. #550C22×C37semidirect
1044. #547C22×C37semidirect
1049. #546C22×C37semidirect
1050. #546C22×C37semidirect
1051. #546C22×C37semidirect
1052. #546C22×C37semidirect
1053. #546C22×C37semidirect
1057. D42C22×C37semidirect
1058. D42C22×C37semidirect
1059. D42C22×C37semidirect
1060. D42C22×C37semidirect
1061. #542C22×C37semidirect
1063. #540C22×C37semidirect
1065. #537C22×C37semidirect
1067. #535C22×C37semidirect
1068. #535C22×C37semidirect
1069. #535C22×C37semidirect
1074. #525C22×C37semidirect
1075. #525C22×C37semidirect
1076. C2×#121C22×C37semidirect
1079. #518C22×C37semidirect
1080. #496C22×C37semidirect
1081. #496C22×C37semidirect
1082. #495C22×C37semidirect
1083. #493C22×C37semidirect
1084. #490C22×C37semidirect
1085. #489C22×C37semidirect
1086. #488C22×C37semidirect
1087. #486C22×C37semidirect
1088. #485C22×C37semidirect
1089. #485C22×C37semidirect
1090. #483C22×C37semidirect
1091. #482C22×C37semidirect
1092. #482C22×C37semidirect
1093. #482C22×C37semidirect
1094. #482C22×C37semidirect
1095. #482C22×C37semidirect
1096. #482C22×C37semidirect
1097. #481C22×C37semidirect
1098. #480C22×C37semidirect
1099. #480C22×C37semidirect
1100. #478C22×C37semidirect
1101. #478C22×C37semidirect
1102. #476C22×C37semidirect
1103. #474C22×C37semidirect
1104. #469C22×C37semidirect
1105. #469C22×C37semidirect
1106. #469C22×C37semidirect
1107. #469C22×C37semidirect
1108. #469C22×C37semidirect
1109. #468C22×C37semidirect
1110. #468C22×C37semidirect
1111. #468C22×C37semidirect
1112. #467C22×C37semidirect
1113. #466C22×C37semidirect
1114. #466C22×C37semidirect
1115. #466C22×C37semidirect
1116. #466C22×C37semidirect
1117. #465C22×C37semidirect
1118. #465C22×C37semidirect
1119. #465C22×C37semidirect
1120. #464C22×C37semidirect
1121. #463C22×C37semidirect
1122. #463C22×C37semidirect
1123. #463C22×C37semidirect
1124. #463C22×C37semidirect
1125. #463C22×C37semidirect
1126. #460C22×C37semidirect
1127. #459C22×C37semidirect
1128. #459C22×C37semidirect
1129. #459C22×C37semidirect
1130. #459C22×C37semidirect
1131. #459C22×C37semidirect
1132. #452C22×C37semidirect
1133. #452C22×C37semidirect
1134. #452C22×C37semidirect
1135. #450C22×C37semidirect
1136. #450C22×C37semidirect
1137. #450C22×C37semidirect
1138. #450C22×C37semidirect
1139. #450C22×C37semidirect
1140. #450C22×C37semidirect
1141. #449C22×C37semidirect
1142. #449C22×C37semidirect
1143. #449C22×C37semidirect
1144. #449C22×C37semidirect
1145. #449C22×C37semidirect
1146. #449C22×C37semidirect
1147. #449C22×C37semidirect
1148. #449C22×C37semidirect
1149. #449C22×C37semidirect
1151. #447C22×C37semidirect
1152. #447C22×C37semidirect
1153. #447C22×C37semidirect
1154. #447C22×C37semidirect
1155. #447C22×C37semidirect
1156. #447C22×C37semidirect
1157. #447C22×C37semidirect
1158. #447C22×C37semidirect
1159. #447C22×C37semidirect
1160. #447C22×C37semidirect
1161. #447C22×C37semidirect
1162. #447C22×C37semidirect
1163. #447C22×C37semidirect
1164. #447C22×C37semidirect
1165. #447C22×C37semidirect
1166. #447C22×C37semidirect
1167. #447C22×C37semidirect
1168. #442C22×C37semidirect
1169. #442C22×C37semidirect
1170. #442C22×C37semidirect
1171. #440C22×C37semidirect
1172. C4×SD16C22×C37semidirect
1173. C4×D8C22×C37semidirect
1174. C4×D8C22×C37semidirect
1175. C4×D8C22×C37semidirect
1176. #436C22×C37semidirect
1177. #436C22×C37semidirect
1178. #435C22×C37semidirect
1179. #435C22×C37semidirect
1180. #435C22×C37semidirect
1181. #435C22×C37semidirect
1182. C8×D4C22×C37semidirect
1183. C8×D4C22×C37semidirect
1184. #433C22×C37semidirect
1185. #433C22×C37semidirect
1186. #418C22×C37semidirect
1187. #418C22×C37semidirect
1188. #418C22×C37semidirect
1189. #417C22×C37semidirect
1190. #416C22×C37semidirect
1191. C2×#102C22×C37semidirect
1192. C2×#102C22×C37semidirect
1193. C2×#102C22×C37semidirect
1194. #408C22×C37semidirect
1195. #408C22×C37semidirect
1196. #407C22×C37semidirect
1197. C2×C22⋊C8C22×C37semidirect
1198. C37#61609direct (N × H)
1209. C2×#41C23×C37semidirect
1233. C22×D4C23×C37semidirect
1240. C2×Q16C23×C37semidirect
1245. C2×SD16C23×C37semidirect
1246. C2×SD16C23×C37semidirect
1247. C2×SD16C23×C37semidirect
1248. C2×SD16C23×C37semidirect
1264. C2×D8C23×C37semidirect
1265. C2×D8C23×C37semidirect
1266. C2×D8C23×C37semidirect
1269. C2×M16C23×C37semidirect
1270. C2×M16C23×C37semidirect
1273. C22×C8C23×C37semidirect
1274. C22×C8C23×C37semidirect
1275. C4⋊Q8C23×C37semidirect
1281. #127C23×C37semidirect
1286. #125C23×C37semidirect
1294. #124C23×C37semidirect
1321. C22⋊Q8C23×C37semidirect
1360. #121C23×C37semidirect
1361. #121C23×C37semidirect
1362. #121C23×C37semidirect
1389. C4×Q8C23×C37semidirect
1406. C4×D4C23×C37semidirect
1407. C4×D4C23×C37semidirect
1408. C4×D4C23×C37semidirect
1414. #117C23×C37semidirect
1416. C2×C4⋊C4C23×C37semidirect
1426. #107C23×C37semidirect
1427. #107C23×C37semidirect
1428. #107C23×C37semidirect
1429. #107C23×C37semidirect
1430. #106C23×C37semidirect
1431. #106C23×C37semidirect
1432. #106C23×C37semidirect
1433. #106C23×C37semidirect
1434. C4⋊C8C23×C37semidirect
1435. C4⋊C8C23×C37semidirect
1436. C4⋊C8C23×C37semidirect
1437. C4⋊C8C23×C37semidirect
1438. #103C23×C37semidirect
1439. #103C23×C37semidirect
1440. #103C23×C37semidirect
1441. #103C23×C37semidirect
1442. #103C23×C37semidirect
1443. #103C23×C37semidirect
1460. #102C23×C37semidirect
1461. #102C23×C37semidirect
1462. #102C23×C37semidirect
1463. #102C23×C37semidirect
1464. #102C23×C37semidirect
1465. #102C23×C37semidirect
1466. #102C23×C37semidirect
1467. #102C23×C37semidirect
1468. #102C23×C37semidirect
1469. #102C23×C37semidirect
1478. C22⋊C8C23×C37semidirect
1479. C22⋊C8C23×C37semidirect
1480. C22⋊C8C23×C37semidirect
1481. C22⋊C8C23×C37semidirect
1482. #97C23×C37semidirect
1483. #97C23×C37semidirect
1484. C4×C8C23×C37semidirect
1485. C4×C8C23×C37semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C37×#35422
C37×#34842
C37×#33252
C37×#33222
C37×#33192
C37×#33182
C37×#33102
C37×#33062
C37×#32962
C37×#32942
C37×#32802
D4×D8×C372
C37×#32742
C37×#32732
C37×#32682
C37×#32642
C37×#32242
C37×#32202
C37×#31992
C37×#31982
C37×#31942
C37×#31912
C37×#31222
C37×#31182
C37×#30122
C37×#30082
C37×#30032
C2×C37×#4472
C37×#29762
#6160937