Finite Group Databasebeta

← C37×#61579 #22682832

Subgroups — C37×#61579 #22682832

Order 9472.

2184 conjugacy classes of subgroups.

The subgroup lattice has 1934 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C37×#3519C211yesmaximal, characteristic, complemented
2D4×#41×C37C211yesmaximal, characteristic, complemented
3C37×#3321C211yesmaximal, characteristic, complemented
4C37×#3320C211yesmaximal, characteristic, complemented
5C37×#3319C211yesmaximal, characteristic, complemented
6C37×#3318C211yesmaximal, characteristic, complemented
7C37×#3316C211yesmaximal, characteristic, complemented
8C37×#3314C211yesmaximal, characteristic, complemented
9C37×#3309C211yesmaximal, characteristic, complemented
10C37×#3307C211yesmaximal, characteristic, complemented
11C37×#3271C211yesmaximal, characteristic, complemented
12C37×#3268C211yesmaximal, characteristic, complemented
13C37×#3268C211yesmaximal, characteristic, complemented
14C37×#3267C211yesmaximal, characteristic, complemented
15C37×#3266C211yesmaximal, characteristic, complemented
16C37×#3265C211yesmaximal, characteristic, complemented
17C37×#3264C211yesmaximal, characteristic, complemented
18C37×#3264C211yesmaximal, characteristic, complemented
19C37×#3219C211yesmaximal, characteristic, complemented
20C37×#3214C211yesmaximal, characteristic, complemented
21C37×#3197C211yesmaximal, characteristic, complemented
22C37×#3194C211yesmaximal, characteristic, complemented
23C37×#3191C211yesmaximal, characteristic, complemented
24C37×#3188C211yesmaximal, characteristic, complemented
25C37×#3115C211yesmaximal, characteristic, complemented
26C37×#3111C211yesmaximal, characteristic, complemented
27C37×#3006C211yesmaximal, characteristic, complemented
28C37×#3005C211yesmaximal, characteristic, complemented
29C37×#3002C211yesmaximal, characteristic, complemented
30C2×C37×#449C211yesmaximal, characteristic, complemented
31C37×#2973C211yesmaximal, characteristic, complemented
32C22×#41×C37C2211yescharacteristic, complemented
33C22×#41×C37C2211yescharacteristic, complemented
34C2×#137×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
39C2×#135×C37C2211yescharacteristic, complemented
40C22×SD16×C37C2211yescharacteristic, complemented
41C22×D8×C37C2211yescharacteristic, complemented
42C37×#555C2211yescharacteristic, complemented
43C37×#554C2211yescharacteristic, complemented
44C37×#553—21no—
45C37×#553C2211yescharacteristic
46C37×#553C2211yescharacteristic, complemented
47C37×#550C2211yescharacteristic, complemented
48C37×#550C2211yescharacteristic, complemented
49D4×Q8×C37C2211yescharacteristic, complemented
50C37×#548C2211yescharacteristic
51C37×#548C2211yescharacteristic, complemented
52C37×#547—21no—
53C37×#547C2211yescharacteristic, complemented
54C37×#546—21no—
55C37×#546—21no—
56C37×#546—21no—
57C37×#546—21no—
58C37×#546C2211yescharacteristic
59C37×#546C2211yescharacteristic
60C37×#546C2211yescharacteristic, complemented
61C37×#546C2211yescharacteristic, complemented
62D42×C37—21no—
63D42×C37—21no—
64D42×C37C2211yescharacteristic, complemented
65D42×C37C2211yescharacteristic, complemented
66C37×#540—21no—
67C37×#538—21no—
68C37×#538—21no—
69C37×#532—21no—
70C37×#532C2211yescharacteristic, complemented
71C37×#532C2211yescharacteristic, complemented
72C37×#529C2211yescharacteristic, complemented
73C37×#525—21no—
74C37×#525—21no—
75C37×#525C2211yescharacteristic, complemented
76C37×#525C2211yescharacteristic, complemented
77C37×#525C2211yescharacteristic, complemented
78C37×#525C2211yescharacteristic, complemented
79C2×#121×C37C2211yescharacteristic, complemented
80C2×#121×C37C2211yescharacteristic, complemented
81C37×#518—21no—
82C4×#41×C37C2211yescharacteristic, complemented
83C2×C4×D4×C37—21no—
84C2×C4×D4×C37C2211yescharacteristic
85C37×#497C2211yescharacteristic, complemented
86C37×#496C2211yescharacteristic, complemented
87C37×#496C2211yescharacteristic, complemented
88C37×#496C2211yescharacteristic, complemented
89C37×#491C2211yescharacteristic, complemented
90C37×#490C2211yescharacteristic, complemented
91C37×#489C2211yescharacteristic, complemented
92C37×#489C2211yescharacteristic, complemented
93C37×#485C2211yescharacteristic, complemented
94C37×#485C2211yescharacteristic, complemented
95C37×#485C2211yescharacteristic, complemented
96C37×#484C2211yescharacteristic, complemented
97C37×#483C2211yescharacteristic, complemented
98C37×#482C2211yescharacteristic, complemented
99C37×#482C2211yescharacteristic, complemented
100C37×#482C2211yescharacteristic, complemented
101C37×#482C2211yescharacteristic, complemented
102C37×#482C2211yescharacteristic, complemented
103C37×#481C2211yescharacteristic, complemented
104C37×#480C2211yescharacteristic, complemented
105C37×#479C2211yescharacteristic, complemented
106C37×#478C2211yescharacteristic, complemented
107C37×#475C2211yescharacteristic, complemented
108C37×#474C2211yescharacteristic, complemented
109C37×#470C2211yescharacteristic, complemented
110C37×#469C2211yescharacteristic, complemented
111C37×#469C2211yescharacteristic, complemented
112C37×#469C2211yescharacteristic, complemented
113C37×#468C2211yescharacteristic, complemented
114C37×#468C2211yescharacteristic, complemented
115C37×#468C2211yescharacteristic, complemented
116C37×#468C2211yescharacteristic, complemented
117C37×#467C2211yescharacteristic, complemented
118C37×#466C2211yescharacteristic, complemented
119C37×#466C2211yescharacteristic, complemented
120C37×#466C2211yescharacteristic, complemented
121C37×#465C2211yescharacteristic, complemented
122C37×#465C2211yescharacteristic, complemented
123C37×#465C2211yescharacteristic, complemented
124C37×#465C2211yescharacteristic, complemented
125C37×#464C2211yescharacteristic, complemented
126C37×#464C2211yescharacteristic, complemented
127C37×#464C2211yescharacteristic, complemented
128C37×#463C2211yescharacteristic, complemented
129C37×#463C2211yescharacteristic, complemented
130C37×#463C2211yescharacteristic, complemented
131C37×#461C2211yescharacteristic, complemented
132C37×#461C2211yescharacteristic, complemented
133C37×#460C2211yescharacteristic, complemented
134C37×#459C2211yescharacteristic, complemented
135C37×#459C2211yescharacteristic, complemented
136C37×#459C2211yescharacteristic, complemented
137C37×#452C2211yescharacteristic, complemented
138C37×#452C2211yescharacteristic, complemented
139C37×#452C2211yescharacteristic, complemented
140C37×#452C2211yescharacteristic, complemented
141C37×#452C2211yescharacteristic, complemented
142C37×#452C2211yescharacteristic, complemented
143C37×#452C2211yescharacteristic, complemented
144C37×#451C2211yescharacteristic, complemented
145C37×#450C2211yescharacteristic, complemented
146C37×#450C2211yescharacteristic, complemented
147C37×#450C2211yescharacteristic, complemented
148C37×#449C2211yescharacteristic
149C37×#449C2211yescharacteristic, complemented
150C37×#449C2211yescharacteristic, complemented
151C37×#449C2211yescharacteristic, complemented
152C37×#449C2211yescharacteristic, complemented
153C37×#449C2211yescharacteristic, complemented
154C37×#449C2211yescharacteristic, complemented
155C37×#449C2211yescharacteristic, complemented
156C37×#449C2211yescharacteristic, complemented
157C37×#449C2211yescharacteristic, complemented
158C37×#449C2211yescharacteristic, complemented
159C37×#449C2211yescharacteristic, complemented
160C37×#449C2211yescharacteristic, complemented
161C37×#449C2211yescharacteristic, complemented
162C37×#449C2211yescharacteristic, complemented
163C37×#449C2211yescharacteristic, complemented
164C37×#449C2211yescharacteristic, complemented
165C37×#448C2211yescharacteristic, complemented
166C37×#448C2211yescharacteristic, complemented
167C37×#448C2211yescharacteristic, 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×#441C2211yescharacteristic, complemented
177C37×#440C2211yescharacteristic, complemented
178C37×#440C2211yescharacteristic, complemented
179C37×#440C2211yescharacteristic, complemented
180C37×#440C2211yescharacteristic, complemented
181C37×#435C2211yescharacteristic, complemented
182C37×#435C2211yescharacteristic, complemented
183C37×#435C2211yescharacteristic, complemented
184C37×#435C2211yescharacteristic, complemented
185C37×#435C2211yescharacteristic, complemented
186C37×#435C2211yescharacteristic, complemented
187C37×#435C2211yescharacteristic, complemented
188C37×#435C2211yescharacteristic, complemented
189C37×#432C2211yescharacteristic, complemented
190C37×#432C2211yescharacteristic, complemented
191C37×#419C2211yescharacteristic, complemented
192C37×#418C2211yescharacteristic, complemented
193C37×#417C2211yescharacteristic, complemented
194C37×#417C2211yescharacteristic, complemented
195C37×#416C2211yescharacteristic, complemented
196C37×#416C2211yescharacteristic, complemented
197C2×#103×C37C2211yescharacteristic, complemented
198C2×#102×C37C2211yescharacteristic, complemented
199C37×#407C2211yescharacteristic, complemented
200C37×#407C2211yescharacteristic, complemented
201C2×C22⋊C8×C37C2211yescharacteristic, complemented
202C2×C22⋊C8×C37C2211yescharacteristic, complemented
203C2×#41×C37—21no—
204C2×#41×C37—21no—
205C2×#41×C37—21no—
206C2×#41×C37—21no—
207C2×#41×C37—21no—
208C2×#41×C37—42no—
209C2×#41×C37—42no—
210C2×#41×C37—42no—
211C2×#41×C37—42no—
212C2×#41×C37C2311yescharacteristic
213C2×#41×C37C2311yescharacteristic
214C2×#41×C37C2311yescharacteristic
215C2×#41×C37C2311yescharacteristic
216C2×#41×C37C2311yescharacteristic
217C2×#41×C37C2311yescharacteristic
218C2×#41×C37C2311yescharacteristic
219C2×#41×C37C2311yescharacteristic
220C2×#41×C37C2311yescharacteristic
221C22×Q8×C37C2311yescharacteristic
222C22×Q8×C37C2311yescharacteristic
223C22×D4×C37—21no—
224C22×D4×C37—21no—
225C22×D4×C37—21no—
226C22×D4×C37—21no—
227C22×D4×C37—21no—
228C22×D4×C37—21no—
229C22×D4×C37D411yescharacteristic
230C22×D4×C37C2311yescharacteristic
231C22×D4×C37C2311yescharacteristic
232C22×D4×C37C2311yescharacteristic
233C22×D4×C37C2311yescharacteristic
234C23×C4×C37—21no—
235C23×C4×C37—21no—
236C23×C4×C37C2311yescharacteristic
237C23×C4×C37C2311yescharacteristic
238#137×C37—42no—
239AGL(1,ℤ/8)×C37—42no—
240AGL(1,ℤ/8)×C37—42no—
241AGL(1,ℤ/8)×C37—42no—
242#135×C37—42no—
243#135×C37—42no—
244C2×Q16×C37C2311yescharacteristic
245C2×Q16×C37C2311yescharacteristic
246C2×Q16×C37C2311yescharacteristic
247C2×SD16×C37—42no—
248C2×SD16×C37C2311yescharacteristic
249C2×SD16×C37C2311yescharacteristic
250C2×SD16×C37C2311yescharacteristic
251C2×SD16×C37C2311yescharacteristic
252C2×SD16×C37C2311yescharacteristic
253C2×SD16×C37C2311yescharacteristic
254C2×SD16×C37C2311yescharacteristic
255C2×SD16×C37C2311yescharacteristic
256C2×SD16×C37C2311yescharacteristic
257C2×SD16×C37C2311yescharacteristic
258C2×SD16×C37C2311yescharacteristic
259C2×SD16×C37C2311yescharacteristic
260C2×D8×C37—42no—
261C2×D8×C37C2311yescharacteristic
262C2×D8×C37C2311yescharacteristic
263C2×D8×C37C2311yescharacteristic
264C2×D8×C37C2311yescharacteristic
265C2×D8×C37C2311yescharacteristic
266C2×D8×C37C2311yescharacteristic
267C2×D8×C37C2311yescharacteristic
268C2×D8×C37C2311yescharacteristic
269C2×D8×C37C2311yescharacteristic
270C2×M16×C37C2311yescharacteristic
271C2×M16×C37C2311yescharacteristic
272C2×M16×C37C2311yescharacteristic
273C2×M16×C37C2311yescharacteristic
274C22×C8×C37C2311yescharacteristic
275C22×C8×C37C2311yescharacteristic
276C22×C8×C37C2311yescharacteristic
277C22×C8×C37C2311yescharacteristic
278C4⋊Q8×C37—21no—
279C4⋊Q8×C37C2311yescharacteristic
280C4⋊Q8×C37C2311yescharacteristic
281#127×C37—21no—
282#127×C37—21no—
283#127×C37C2311yescharacteristic
284#127×C37C2311yescharacteristic
285#126×C37—21no—
286#126×C37—21no—
287#126×C37—21no—
288#125×C37—21no—
289#125×C37C2311yescharacteristic
290#124×C37—21no—
291#124×C37—21no—
292#124×C37—21no—
293#124×C37—21no—
294#124×C37—21no—
295#124×C37C2311yescharacteristic
296#124×C37C2311yescharacteristic
297#124×C37C2311yescharacteristic
298#123×C37—21no—
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—
311C22⋊Q8×C37—21no—
312C22⋊Q8×C37—21no—
313C22⋊Q8×C37—21no—
314C22⋊Q8×C37—21no—
315C22⋊Q8×C37—21no—
316C22⋊Q8×C37—21no—
317C22⋊Q8×C37C2311yescharacteristic
318C22⋊Q8×C37C2311yescharacteristic
319C22⋊Q8×C37C2311yescharacteristic
320C22⋊Q8×C37C2311yescharacteristic
321C22⋊Q8×C37C2311yescharacteristic
322C22⋊Q8×C37C2311yescharacteristic
323C22⋊Q8×C37C2311yescharacteristic
324#121×C37—21no—
325#121×C37—21no—
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×C37C2311yescharacteristic
348#121×C37C2311yescharacteristic
349#121×C37C2311yescharacteristic
350#121×C37C2311yescharacteristic
351#121×C37C2311yescharacteristic
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#120×C37—21no—
361#120×C37—21no—
362#120×C37—21no—
363#120×C37—21no—
364#120×C37—21no—
365#120×C37—21no—
366#120×C37—21no—
367#120×C37—21no—
368#120×C37—21no—
369#120×C37—21no—
370#120×C37—21no—
371#120×C37—21no—
372C4×Q8×C37C2311yescharacteristic
373C4×Q8×C37C2311yescharacteristic
374C4×Q8×C37C2311yescharacteristic
375C4×D4×C37—21no—
376C4×D4×C37—21no—
377C4×D4×C37—21no—
378C4×D4×C37—21no—
379C4×D4×C37—21no—
380C4×D4×C37—21no—
381C4×D4×C37—21no—
382C4×D4×C37—21no—
383C4×D4×C37—21no—
384C4×D4×C37—21no—
385C4×D4×C37—21no—
386C4×D4×C37—21no—
387C4×D4×C37—21no—
388C4×D4×C37—21no—
389C4×D4×C37—21no—
390C4×D4×C37—21no—
391C4×D4×C37—21no—
392C4×D4×C37—21no—
393C4×D4×C37—21no—
394C4×D4×C37—21no—
395C4×D4×C37—21no—
396C4×D4×C37—21no—
397C4×D4×C37D411yescharacteristic
398C4×D4×C37D411yescharacteristic
399C4×D4×C37D411yescharacteristic
400C4×D4×C37D411yescharacteristic
401C4×D4×C37C2311yescharacteristic
402C4×D4×C37C2311yescharacteristic
403C4×D4×C37C2311yescharacteristic
404C4×D4×C37C2311yescharacteristic
405C4×D4×C37C2311yescharacteristic
406C4×D4×C37C2311yescharacteristic
407C4×D4×C37C2311yescharacteristic
408C4×D4×C37C2311yescharacteristic
409C4×D4×C37C2311yescharacteristic
410#117×C37—21no—
411#117×C37—21no—
412#117×C37—21no—
413#117×C37C2311yescharacteristic
414#117×C37C2311yescharacteristic
415#117×C37C2311yescharacteristic
416C2×C4⋊C4×C37—21no—
417C2×C4⋊C4×C37D411yescharacteristic
418C2×C4⋊C4×C37C2311yescharacteristic
419C2×C4⋊C4×C37C2311yescharacteristic
420C2×C22⋊C4×C37—21no—
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×C37D411yescharacteristic
427C2×C22⋊C4×C37D411yescharacteristic
428C2×C42×C37—21no—
429C2×C42×C37C2311yescharacteristic
430#107×C37C2311yescharacteristic
431#107×C37C2311yescharacteristic
432#107×C37C2311yescharacteristic
433#107×C37C2311yescharacteristic
434#106×C37C2311yescharacteristic
435#106×C37C2311yescharacteristic
436#106×C37C2311yescharacteristic
437#106×C37C2311yescharacteristic
438C4⋊C8×C37C2311yescharacteristic
439C4⋊C8×C37C2311yescharacteristic
440C4⋊C8×C37C2311yescharacteristic
441C4⋊C8×C37C2311yescharacteristic
442#103×C37C2311yescharacteristic
443#103×C37C2311yescharacteristic
444#103×C37C2311yescharacteristic
445#103×C37C2311yescharacteristic
446#103×C37C2311yescharacteristic
447#103×C37C2311yescharacteristic
448#103×C37C2311yescharacteristic
449#103×C37C2311yescharacteristic
450#103×C37C2311yescharacteristic
451#103×C37C2311yescharacteristic
452#103×C37C2311yescharacteristic
453#103×C37C2311yescharacteristic
454#103×C37C2311yescharacteristic
455#103×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
465#102×C37C2311yescharacteristic
466#102×C37C2311yescharacteristic
467#102×C37C2311yescharacteristic
468#102×C37C2311yescharacteristic
469#102×C37C2311yescharacteristic
470#102×C37C2311yescharacteristic
471#102×C37C2311yescharacteristic
472#102×C37C2311yescharacteristic
473#102×C37C2311yescharacteristic
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
483C22⋊C8×C37C2311yescharacteristic
484C22⋊C8×C37C2311yescharacteristic
485C22⋊C8×C37C2311yescharacteristic
486#97×C37C2311yescharacteristic
487#97×C37C2311yescharacteristic
488#97×C37C2311yescharacteristic
489#97×C37C2311yescharacteristic
490C24×C37—21no—
491C24×C37—21no—
492C24×C37—21no—
493C24×C37—21no—
494C24×C37C2×D411yescharacteristic
495C24×C37C2×D411yescharacteristic
496#41×C37—22no—
497#41×C37—22no—
498#41×C37—22no—
499#41×C37—22no—
500#41×C37—22no—
501#41×C37—22no—
502#41×C37—41no—
503#41×C37—41no—
504#41×C37—41no—
505#41×C37—41no—
506#41×C37—41no—
507#41×C37—41no—
508#41×C37—41no—
509#41×C37—41no—
510#41×C37—44no—
511#41×C37—44no—
512#41×C37—41no—
513#41×C37—41no—
514#41×C37—41no—
515#41×C37—41no—
516#41×C37—44no—
517#41×C37—44no—
518#41×C37—82no—
519C2×Q8×C37—21no—
520C2×Q8×C37—21no—
521C2×Q8×C37—21no—
522C2×Q8×C37—22no—
523C2×Q8×C37—22no—
524C2×Q8×C37—41no—
525C2×Q8×C37—41no—
526C2×Q8×C37C2411yescharacteristic
527C2×Q8×C37C2411yescharacteristic
528C2×Q8×C37C2411yescharacteristic
529C2×Q8×C37C2411yescharacteristic
530C2×D4×C37—21no—
531C2×D4×C37—22no—
532C2×D4×C37—22no—
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—41no—
563C2×D4×C37—41no—
564C2×D4×C37—41no—
565C2×D4×C37—41no—
566C2×D4×C37—41no—
567C2×D4×C37—41no—
568C2×D4×C37—42no—
569C2×D4×C37—44no—
570C2×D4×C37—44no—
571C2×D4×C37—44no—
572C2×D4×C37—44no—
573C2×D4×C37—82no—
574C2×D4×C37—82no—
575C2×D4×C37C2×D411yescharacteristic
576C2×D4×C37C2×D411yescharacteristic
577C2×D4×C37C2×D411yescharacteristic
578C2×D4×C37C2×D411yescharacteristic
579C2×D4×C37C2411yescharacteristic
580C2×D4×C37C2411yescharacteristic
581C2×D4×C37C2411yescharacteristic
582C2×D4×C37C2411yescharacteristic
583C2×D4×C37C2411yescharacteristic
584C2×D4×C37C2411yescharacteristic
585C22×C4×C37—21no—
586C22×C4×C37—21no—
587C22×C4×C37—21no—
588C22×C4×C37—21no—
589C22×C4×C37—21no—
590C22×C4×C37—21no—
591C22×C4×C37—21no—
592C22×C4×C37—21no—
593C22×C4×C37—21no—
594C22×C4×C37—21no—
595C22×C4×C37—21no—
596C22×C4×C37—21no—
597C22×C4×C37—21no—
598C22×C4×C37—21no—
599C22×C4×C37—21no—
600C22×C4×C37—21no—
601C22×C4×C37—21no—
602C22×C4×C37—21no—
603C22×C4×C37—41no—
604C22×C4×C37—41no—
605C22×C4×C37—41no—
606C22×C4×C37—41no—
607C22×C4×C37—44no—
608C22×C4×C37—44no—
609C22×C4×C37C2×D411yescharacteristic
610C22×C4×C37C2×D411yescharacteristic
611C22×C4×C37C2×D411yescharacteristic
612C22×C4×C37C2×D411yescharacteristic
613C22×C4×C37C2×D411yescharacteristic
614C22×C4×C37C2×D411yescharacteristic
615C22×C4×C37C2×D411yescharacteristic
616C22×C4×C37C2×D411yescharacteristic
617C22×C4×C37C2411yescharacteristic
618C22×C4×C37C2411yescharacteristic
619C22×C4×C37C2411yescharacteristic
620C22×C4×C37C2411yescharacteristic
621C22×C4×C37C2411yescharacteristic
622Q16×C37—22no—
623Q16×C37—41no—
624Q16×C37—41no—
625SD16×C37—22no—
626SD16×C37—22no—
627SD16×C37—22no—
628SD16×C37—22no—
629SD16×C37—41no—
630SD16×C37—41no—
631SD16×C37—41no—
632SD16×C37—41no—
633SD16×C37—41no—
634SD16×C37—41no—
635SD16×C37—41no—
636SD16×C37—41no—
637D8×C37—22no—
638D8×C37—22no—
639D8×C37—22no—
640D8×C37—41no—
641D8×C37—41no—
642D8×C37—41no—
643D8×C37—41no—
644D8×C37—41no—
645D8×C37—41no—
646M16×C37—41no—
647M16×C37—41no—
648M16×C37—41no—
649M16×C37—41no—
650C2×C8×C37—41no—
651C2×C8×C37—41no—
652C2×C8×C37—41no—
653C2×C8×C37—41no—
654C2×C8×C37C2411yescharacteristic
655C2×C8×C37C2411yescharacteristic
656C2×C8×C37C2411yescharacteristic
657C2×C8×C37C2411yescharacteristic
658C2×C8×C37C2411yescharacteristic
659C2×C8×C37C2411yescharacteristic
660C2×C8×C37C2411yescharacteristic
661C2×C8×C37C2411yescharacteristic
662C4⋊C4×C37—21no—
663C4⋊C4×C37—21no—
664C4⋊C4×C37—21no—
665C4⋊C4×C37—21no—
666C4⋊C4×C37—21no—
667C4⋊C4×C37—21no—
668C4⋊C4×C37—21no—
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×C37C2×D411yescharacteristic
680C4⋊C4×C37C2×D411yescharacteristic
681C4⋊C4×C37C2×D411yescharacteristic
682C4⋊C4×C37C2×D411yescharacteristic
683C4⋊C4×C37C2411yescharacteristic
684C4⋊C4×C37C2411yescharacteristic
685C4⋊C4×C37C2411yescharacteristic
686C4⋊C4×C37C2411yescharacteristic
687C4⋊C4×C37C2411yescharacteristic
688C4⋊C4×C37C2411yescharacteristic
689C22⋊C4×C37—21no—
690C22⋊C4×C37—21no—
691C22⋊C4×C37—21no—
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×C37C2×D411yescharacteristic
724C22⋊C4×C37C2×D411yescharacteristic
725C22⋊C4×C37C2×D411yescharacteristic
726C22⋊C4×C37C2×D411yescharacteristic
727C22⋊C4×C37C2×D411yescharacteristic
728C22⋊C4×C37C2×D411yescharacteristic
729C22⋊C4×C37C2×D411yescharacteristic
730C22⋊C4×C37C2×D411yescharacteristic
731C42×C37—21no—
732C42×C37—21no—
733C42×C37—21no—
734C42×C37—21no—
735C42×C37—21no—
736C42×C37—21no—
737C42×C37C2×D411yescharacteristic
738C42×C37C2×D411yescharacteristic
739C42×C37C2411yescharacteristic
740C42×C37C2411yescharacteristic
741C23×C37—21no—
742C23×C37—22no—
743C23×C37—21no—
744C23×C37—21no—
745C23×C37—21no—
746C23×C37—21no—
747C23×C37—21no—
748C23×C37—41no—
749C23×C37—41no—
750C23×C37—41no—
751C23×C37—41no—
752C23×C37—41no—
753C23×C37—42no—
754C23×C37—42no—
755C23×C37—42no—
756C23×C37—42no—
757C23×C37—42no—
758C23×C37—42no—
759C23×C37—81no—
760C23×C37—81no—
761C23×C37—81no—
762C23×C37—81no—
763C23×C37—81no—
764C23×C37—81no—
765C23×C37C22×D411yescharacteristic
766C23×C37C22×D411yescharacteristic
767C23×C37C22×D411yescharacteristic
768C23×C37C22×D411yescharacteristic
769C23×C37C22×D411yescharacteristic
770Q8×C37—21no—
771Q8×C37—21no—
772Q8×C37—21no—
773Q8×C37—21no—
774Q8×C37—21no—
775Q8×C37—21no—
776Q8×C37—21no—
777Q8×C37—42no—
778Q8×C37—42no—
779Q8×C37—81no—
780Q8×C37H(5,𝔽2)12yes—
781D4×C37—24no—
782D4×C37—22no—
783D4×C37—22no—
784D4×C37—21no—
785D4×C37—21no—
786D4×C37—21no—
787D4×C37—21no—
788D4×C37—21no—
789D4×C37—21no—
790D4×C37—21no—
791D4×C37—21no—
792D4×C37—21no—
793D4×C37—21no—
794D4×C37—21no—
795D4×C37—41no—
796D4×C37—41no—
797D4×C37—42no—
798D4×C37—42no—
799D4×C37—42no—
800D4×C37—42no—
801D4×C37—42no—
802D4×C37—42no—
803D4×C37—42no—
804D4×C37—42no—
805D4×C37—42no—
806D4×C37—42no—
807D4×C37—42no—
808D4×C37—42no—
809D4×C37—42no—
810D4×C37—42no—
811D4×C37—42no—
812D4×C37—42no—
813D4×C37—42no—
814D4×C37—81no—
815D4×C37—81no—
816D4×C37—81no—
817D4×C37—81no—
818D4×C37—81no—
819D4×C37—81no—
820D4×C37—81no—
821D4×C37—81no—
822D4×C37—81no—
823D4×C37—81no—
824D4×C37—81no—
825D4×C37—81no—
826D4×C37H(5,𝔽2)12yes—
827C2×C4×C37—24no—
828C2×C4×C37—21no—
829C2×C4×C37—21no—
830C2×C4×C37—21no—
831C2×C4×C37—21no—
832C2×C4×C37—21no—
833C2×C4×C37—21no—
834C2×C4×C37—21no—
835C2×C4×C37—21no—
836C2×C4×C37—21no—
837C2×C4×C37—21no—
838C2×C4×C37—21no—
839C2×C4×C37—21no—
840C2×C4×C37—21no—
841C2×C4×C37—21no—
842C2×C4×C37—21no—
843C2×C4×C37—21no—
844C2×C4×C37—21no—
845C2×C4×C37—21no—
846C2×C4×C37—21no—
847C2×C4×C37—21no—
848C2×C4×C37—41no—
849C2×C4×C37—41no—
850C2×C4×C37—41no—
851C2×C4×C37—41no—
852C2×C4×C37—41no—
853C2×C4×C37—41no—
854C2×C4×C37—41no—
855C2×C4×C37—41no—
856C2×C4×C37—42no—
857C2×C4×C37—42no—
858C2×C4×C37—42no—
859C2×C4×C37—42no—
860C2×C4×C37—42no—
861C2×C4×C37—42no—
862C2×C4×C37—42no—
863C2×C4×C37—42no—
864C2×C4×C37—42no—
865C2×C4×C37—42no—
866C2×C4×C37—81no—
867C2×C4×C37—81no—
868C2×C4×C37—81no—
869C2×C4×C37—81no—
870C2×C4×C37—81no—
871C2×C4×C37—81no—
872C2×C4×C37—81no—
873C2×C4×C37C22×D411yescharacteristic
874C2×C4×C37C22×D411yescharacteristic
875C2×C4×C37C22×D411yescharacteristic
876C2×C4×C37C22×D411yescharacteristic
877C2×C4×C37C22×D411yescharacteristic
878C2×C4×C37C22×D411yescharacteristic
879C2×C4×C37C22×D411yescharacteristic
880C2×C4×C37C22×D411yescharacteristic
881C2×C4×C37C22×D411yescharacteristic
882C2×C4×C37C2511yescharacteristic
883C8×C37—21no—
884C8×C37—21no—
885C8×C37—21no—
886C8×C37—21no—
887C8×C37—21no—
888C8×C37—21no—
889C8×C37—21no—
890C8×C37—21no—
891#61579C3711yesmaximal, characteristic, direct product factor, Sylow
892C22×C37—21no—
893C22×C37—21no—
894C22×C37—21no—
895C22×C37—21no—
896C22×C37—21no—
897C22×C37—21no—
898C22×C37—21no—
899C22×C37—21no—
900C22×C37—22no—
901C22×C37—21no—
902C22×C37—21no—
903C22×C37—21no—
904C22×C37—21no—
905C22×C37—21no—
906C22×C37—21no—
907C22×C37—41no—
908C22×C37—41no—
909C22×C37—41no—
910C22×C37—41no—
911C22×C37—41no—
912C22×C37—41no—
913C22×C37—41no—
914C22×C37—41no—
915C22×C37—41no—
916C22×C37—41no—
917C22×C37—41no—
918C22×C37—41no—
919C22×C37—41no—
920C22×C37—41no—
921C22×C37—41no—
922C22×C37—41no—
923C22×C37—41no—
924C22×C37—82no—
925C22×C37—84no—
926C22×C37—82no—
927C22×C37—84no—
928C22×C37—162no—
929C22×C37—162no—
930C22×C37#57512yes—
931C22×C37C23×D411yescharacteristic
932C4×C37—21no—
933C4×C37—21no—
934C4×C37—21no—
935C4×C37—22no—
936C4×C37—21no—
937C4×C37—21no—
938C4×C37—21no—
939C4×C37—21no—
940C4×C37—21no—
941C4×C37—21no—
942C4×C37—41no—
943C4×C37—41no—
944C4×C37—41no—
945C4×C37—41no—
946C4×C37—41no—
947C4×C37—41no—
948C4×C37—41no—
949C4×C37—41no—
950C4×C37—41no—
951C4×C37C2×H(5,𝔽2)11yescharacteristic
952C4×C37C2×H(5,𝔽2)11yescharacteristic
953#3519C2×C3711yescharacteristic, complemented
954D4×#41C2×C3711yescharacteristic, complemented
955#3321C2×C3711yescharacteristic, complemented
956#3320C2×C3711yescharacteristic, complemented
957#3319C2×C3711yescharacteristic, complemented
958#3318C2×C3711yescharacteristic, complemented
959#3316C2×C3711yescharacteristic, complemented
960#3314C2×C3711yescharacteristic, complemented
961#3309C2×C3711yescharacteristic, complemented
962#3307C2×C3711yescharacteristic, complemented
963#3271C2×C3711yescharacteristic, complemented
964#3268C2×C3711yescharacteristic, complemented
965#3268C2×C3711yescharacteristic, complemented
966#3267C2×C3711yescharacteristic, complemented
967#3266C2×C3711yescharacteristic, complemented
968#3265C2×C3711yescharacteristic, complemented
969#3264C2×C3711yescharacteristic, complemented
970#3264C2×C3711yescharacteristic, complemented
971#3219C2×C3711yescharacteristic, complemented
972#3214C2×C3711yescharacteristic, complemented
973#3197C2×C3711yescharacteristic, complemented
974#3194C2×C3711yescharacteristic, complemented
975#3191C2×C3711yescharacteristic, complemented
976#3188C2×C3711yescharacteristic, complemented
977#3115C2×C3711yescharacteristic, complemented
978#3111C2×C3711yescharacteristic, complemented
979#3006C2×C3711yescharacteristic, complemented
980#3005C2×C3711yescharacteristic, complemented
981#3002C2×C3711yescharacteristic, complemented
982C2×#449C2×C3711yescharacteristic, complemented
983#2973C2×C3711yescharacteristic, complemented
984C2×C37—22no—
985C2×C37—41no—
986C2×C37—41no—
987C2×C37—41no—
988C2×C37—41no—
989C2×C37—42no—
990C2×C37—81no—
991C2×C37—81no—
992C2×C37—81no—
993C2×C37—81no—
994C2×C37—81no—
995C2×C37#348411yescharacteristic
996C2×C37C2×#57511yescharacteristic
997C2×C37#358511yescharacteristic
998C22×#41C22×C3711yescharacteristic, complemented
999C22×#41C22×C3711yescharacteristic, complemented
1000C2×#137C22×C3711yescharacteristic, complemented
1001C2×AGL(1,ℤ/8)C22×C3711yescharacteristic, complemented
1002C2×AGL(1,ℤ/8)C22×C3711yescharacteristic, complemented
1003C2×AGL(1,ℤ/8)C22×C3711yescharacteristic, complemented
1004C2×#135C22×C3711yescharacteristic, complemented
1005C2×#135C22×C3711yescharacteristic, complemented
1006C22×SD16C22×C3711yescharacteristic, complemented
1007C22×D8C22×C3711yescharacteristic, complemented
1008#555C22×C3711yescharacteristic, complemented
1009#554C22×C3711yescharacteristic, complemented
1010#553—21no—
1011#553C22×C3711yescharacteristic
1012#553C22×C3711yescharacteristic, complemented
1013#550C22×C3711yescharacteristic, complemented
1014#550C22×C3711yescharacteristic, complemented
1015D4×Q8C22×C3711yescharacteristic, complemented
1016#548C22×C3711yescharacteristic
1017#548C22×C3711yescharacteristic, complemented
1018#547—21no—
1019#547C22×C3711yescharacteristic, complemented
1020#546—21no—
1021#546—21no—
1022#546—21no—
1023#546—21no—
1024#546C22×C3711yescharacteristic
1025#546C22×C3711yescharacteristic
1026#546C22×C3711yescharacteristic, complemented
1027#546C22×C3711yescharacteristic, complemented
1028D42—21no—
1029D42—21no—
1030D42C22×C3711yescharacteristic, complemented
1031D42C22×C3711yescharacteristic, complemented
1032#540—21no—
1033#538—21no—
1034#538—21no—
1035#532—21no—
1036#532C22×C3711yescharacteristic, complemented
1037#532C22×C3711yescharacteristic, complemented
1038#529C22×C3711yescharacteristic, complemented
1039#525—21no—
1040#525—21no—
1041#525C22×C3711yescharacteristic, complemented
1042#525C22×C3711yescharacteristic, complemented
1043#525C22×C3711yescharacteristic, complemented
1044#525C22×C3711yescharacteristic, complemented
1045C2×#121C22×C3711yescharacteristic, complemented
1046C2×#121C22×C3711yescharacteristic, complemented
1047#518—21no—
1048C4×#41C22×C3711yescharacteristic, complemented
1049C2×C4×D4—21no—
1050C2×C4×D4C22×C3711yescharacteristic
1051#497C22×C3711yescharacteristic, complemented
1052#496C22×C3711yescharacteristic, complemented
1053#496C22×C3711yescharacteristic, complemented
1054#496C22×C3711yescharacteristic, complemented
1055#491C22×C3711yescharacteristic, complemented
1056#490C22×C3711yescharacteristic, complemented
1057#489C22×C3711yescharacteristic, complemented
1058#489C22×C3711yescharacteristic, complemented
1059#485C22×C3711yescharacteristic, complemented
1060#485C22×C3711yescharacteristic, complemented
1061#485C22×C3711yescharacteristic, complemented
1062#484C22×C3711yescharacteristic, complemented
1063#483C22×C3711yescharacteristic, complemented
1064#482C22×C3711yescharacteristic, complemented
1065#482C22×C3711yescharacteristic, complemented
1066#482C22×C3711yescharacteristic, complemented
1067#482C22×C3711yescharacteristic, complemented
1068#482C22×C3711yescharacteristic, complemented
1069#481C22×C3711yescharacteristic, complemented
1070#480C22×C3711yescharacteristic, complemented
1071#479C22×C3711yescharacteristic, complemented
1072#478C22×C3711yescharacteristic, complemented
1073#475C22×C3711yescharacteristic, complemented
1074#474C22×C3711yescharacteristic, complemented
1075#470C22×C3711yescharacteristic, complemented
1076#469C22×C3711yescharacteristic, complemented
1077#469C22×C3711yescharacteristic, complemented
1078#469C22×C3711yescharacteristic, complemented
1079#468C22×C3711yescharacteristic, complemented
1080#468C22×C3711yescharacteristic, complemented
1081#468C22×C3711yescharacteristic, complemented
1082#468C22×C3711yescharacteristic, complemented
1083#467C22×C3711yescharacteristic, complemented
1084#466C22×C3711yescharacteristic, complemented
1085#466C22×C3711yescharacteristic, complemented
1086#466C22×C3711yescharacteristic, complemented
1087#465C22×C3711yescharacteristic, complemented
1088#465C22×C3711yescharacteristic, complemented
1089#465C22×C3711yescharacteristic, complemented
1090#465C22×C3711yescharacteristic, complemented
1091#464C22×C3711yescharacteristic, complemented
1092#464C22×C3711yescharacteristic, complemented
1093#464C22×C3711yescharacteristic, complemented
1094#463C22×C3711yescharacteristic, complemented
1095#463C22×C3711yescharacteristic, complemented
1096#463C22×C3711yescharacteristic, complemented
1097#461C22×C3711yescharacteristic, complemented
1098#461C22×C3711yescharacteristic, complemented
1099#460C22×C3711yescharacteristic, complemented
1100#459C22×C3711yescharacteristic, complemented
1101#459C22×C3711yescharacteristic, complemented
1102#459C22×C3711yescharacteristic, complemented
1103#452C22×C3711yescharacteristic, complemented
1104#452C22×C3711yescharacteristic, complemented
1105#452C22×C3711yescharacteristic, complemented
1106#452C22×C3711yescharacteristic, complemented
1107#452C22×C3711yescharacteristic, complemented
1108#452C22×C3711yescharacteristic, complemented
1109#452C22×C3711yescharacteristic, complemented
1110#451C22×C3711yescharacteristic, complemented
1111#450C22×C3711yescharacteristic, complemented
1112#450C22×C3711yescharacteristic, complemented
1113#450C22×C3711yescharacteristic, complemented
1114#449C22×C3711yescharacteristic
1115#449C22×C3711yescharacteristic, complemented
1116#449C22×C3711yescharacteristic, complemented
1117#449C22×C3711yescharacteristic, complemented
1118#449C22×C3711yescharacteristic, complemented
1119#449C22×C3711yescharacteristic, complemented
1120#449C22×C3711yescharacteristic, complemented
1121#449C22×C3711yescharacteristic, complemented
1122#449C22×C3711yescharacteristic, complemented
1123#449C22×C3711yescharacteristic, complemented
1124#449C22×C3711yescharacteristic, complemented
1125#449C22×C3711yescharacteristic, complemented
1126#449C22×C3711yescharacteristic, complemented
1127#449C22×C3711yescharacteristic, complemented
1128#449C22×C3711yescharacteristic, complemented
1129#449C22×C3711yescharacteristic, complemented
1130#449C22×C3711yescharacteristic, complemented
1131#448C22×C3711yescharacteristic, complemented
1132#448C22×C3711yescharacteristic, complemented
1133#448C22×C3711yescharacteristic, complemented
1134#447C22×C3711yescharacteristic, complemented
1135#447C22×C3711yescharacteristic, complemented
1136#447C22×C3711yescharacteristic, complemented
1137#447C22×C3711yescharacteristic, complemented
1138#447C22×C3711yescharacteristic, complemented
1139#442C22×C3711yescharacteristic, complemented
1140#442C22×C3711yescharacteristic, complemented
1141#442C22×C3711yescharacteristic, complemented
1142#441C22×C3711yescharacteristic, complemented
1143#440C22×C3711yescharacteristic, complemented
1144#440C22×C3711yescharacteristic, complemented
1145#440C22×C3711yescharacteristic, complemented
1146#440C22×C3711yescharacteristic, complemented
1147#435C22×C3711yescharacteristic, complemented
1148#435C22×C3711yescharacteristic, complemented
1149#435C22×C3711yescharacteristic, complemented
1150#435C22×C3711yescharacteristic, complemented
1151#435C22×C3711yescharacteristic, complemented
1152#435C22×C3711yescharacteristic, complemented
1153#435C22×C3711yescharacteristic, complemented
1154#435C22×C3711yescharacteristic, complemented
1155#432C22×C3711yescharacteristic, complemented
1156#432C22×C3711yescharacteristic, complemented
1157#419C22×C3711yescharacteristic, complemented
1158#418C22×C3711yescharacteristic, complemented
1159#417C22×C3711yescharacteristic, complemented
1160#417C22×C3711yescharacteristic, complemented
1161#416C22×C3711yescharacteristic, complemented
1162#416C22×C3711yescharacteristic, complemented
1163C2×#103C22×C3711yescharacteristic, complemented
1164C2×#102C22×C3711yescharacteristic, complemented
1165#407C22×C3711yescharacteristic, complemented
1166#407C22×C3711yescharacteristic, complemented
1167C2×C22⋊C8C22×C3711yescharacteristic, complemented
1168C2×C22⋊C8C22×C3711yescharacteristic, complemented
1169C37#6157911yescharacteristic, direct product factor, Sylow
1170C2×#41—21no—
1171C2×#41—21no—
1172C2×#41—21no—
1173C2×#41—21no—
1174C2×#41—21no—
1175C2×#41—42no—
1176C2×#41—42no—
1177C2×#41—42no—
1178C2×#41—42no—
1179C2×#41C23×C3711yescharacteristic
1180C2×#41C23×C3711yescharacteristic
1181C2×#41C23×C3711yescharacteristic
1182C2×#41C23×C3711yescharacteristic
1183C2×#41C23×C3711yescharacteristic
1184C2×#41C23×C3711yescharacteristic
1185C2×#41C23×C3711yescharacteristic
1186C2×#41C23×C3711yescharacteristic
1187C2×#41C23×C3711yescharacteristic
1188C22×Q8C23×C3711yescharacteristic
1189C22×Q8C23×C3711yescharacteristic
1190C22×D4—21no—
1191C22×D4—21no—
1192C22×D4—21no—
1193C22×D4—21no—
1194C22×D4—21no—
1195C22×D4—21no—
1196C22×D4D4×C3711yescharacteristic
1197C22×D4C23×C3711yescharacteristic
1198C22×D4C23×C3711yescharacteristic
1199C22×D4C23×C3711yescharacteristic
1200C22×D4C23×C3711yescharacteristic
1201C23×C4—21no—
1202C23×C4—21no—
1203C23×C4C23×C3711yescharacteristic
1204C23×C4C23×C3711yescharacteristic
1205#137—42no—
1206AGL(1,ℤ/8)—42no—
1207AGL(1,ℤ/8)—42no—
1208AGL(1,ℤ/8)—42no—
1209#135—42no—
1210#135—42no—
1211C2×Q16C23×C3711yescharacteristic
1212C2×Q16C23×C3711yescharacteristic
1213C2×Q16C23×C3711yescharacteristic
1214C2×SD16—42no—
1215C2×SD16C23×C3711yescharacteristic
1216C2×SD16C23×C3711yescharacteristic
1217C2×SD16C23×C3711yescharacteristic
1218C2×SD16C23×C3711yescharacteristic
1219C2×SD16C23×C3711yescharacteristic
1220C2×SD16C23×C3711yescharacteristic
1221C2×SD16C23×C3711yescharacteristic
1222C2×SD16C23×C3711yescharacteristic
1223C2×SD16C23×C3711yescharacteristic
1224C2×SD16C23×C3711yescharacteristic
1225C2×SD16C23×C3711yescharacteristic
1226C2×SD16C23×C3711yescharacteristic
1227C2×D8—42no—
1228C2×D8C23×C3711yescharacteristic
1229C2×D8C23×C3711yescharacteristic
1230C2×D8C23×C3711yescharacteristic
1231C2×D8C23×C3711yescharacteristic
1232C2×D8C23×C3711yescharacteristic
1233C2×D8C23×C3711yescharacteristic
1234C2×D8C23×C3711yescharacteristic
1235C2×D8C23×C3711yescharacteristic
1236C2×D8C23×C3711yescharacteristic
1237C2×M16C23×C3711yescharacteristic
1238C2×M16C23×C3711yescharacteristic
1239C2×M16C23×C3711yescharacteristic
1240C2×M16C23×C3711yescharacteristic
1241C22×C8C23×C3711yescharacteristic
1242C22×C8C23×C3711yescharacteristic
1243C22×C8C23×C3711yescharacteristic
1244C22×C8C23×C3711yescharacteristic
1245C4⋊Q8—21no—
1246C4⋊Q8C23×C3711yescharacteristic
1247C4⋊Q8C23×C3711yescharacteristic
1248#127—21no—
1249#127—21no—
1250#127C23×C3711yescharacteristic
1251#127C23×C3711yescharacteristic
1252#126—21no—
1253#126—21no—
1254#126—21no—
1255#125—21no—
1256#125C23×C3711yescharacteristic
1257#124—21no—
1258#124—21no—
1259#124—21no—
1260#124—21no—
1261#124—21no—
1262#124C23×C3711yescharacteristic
1263#124C23×C3711yescharacteristic
1264#124C23×C3711yescharacteristic
1265#123—21no—
1266#123—21no—
1267#123—21no—
1268#123—21no—
1269#123—21no—
1270#123—21no—
1271#123—21no—
1272#123—21no—
1273#123—21no—
1274#123—21no—
1275#123—21no—
1276#123—21no—
1277#123—21no—
1278C22⋊Q8—21no—
1279C22⋊Q8—21no—
1280C22⋊Q8—21no—
1281C22⋊Q8—21no—
1282C22⋊Q8—21no—
1283C22⋊Q8—21no—
1284C22⋊Q8C23×C3711yescharacteristic
1285C22⋊Q8C23×C3711yescharacteristic
1286C22⋊Q8C23×C3711yescharacteristic
1287C22⋊Q8C23×C3711yescharacteristic
1288C22⋊Q8C23×C3711yescharacteristic
1289C22⋊Q8C23×C3711yescharacteristic
1290C22⋊Q8C23×C3711yescharacteristic
1291#121—21no—
1292#121—21no—
1293#121—21no—
1294#121—21no—
1295#121—21no—
1296#121—21no—
1297#121—21no—
1298#121—21no—
1299#121—21no—
1300#121—21no—
1301#121—21no—
1302#121—21no—
1303#121—21no—
1304#121—21no—
1305#121—21no—
1306#121—21no—
1307#121—21no—
1308#121—21no—
1309#121—21no—
1310#121—21no—
1311#121—21no—
1312#121—21no—
1313#121—21no—
1314#121C23×C3711yescharacteristic
1315#121C23×C3711yescharacteristic
1316#121C23×C3711yescharacteristic
1317#121C23×C3711yescharacteristic
1318#121C23×C3711yescharacteristic
1319#121C23×C3711yescharacteristic
1320#121C23×C3711yescharacteristic
1321#121C23×C3711yescharacteristic
1322#121C23×C3711yescharacteristic
1323#121C23×C3711yescharacteristic
1324#121C23×C3711yescharacteristic
1325#121C23×C3711yescharacteristic
1326#121C23×C3711yescharacteristic
1327#120—21no—
1328#120—21no—
1329#120—21no—
1330#120—21no—
1331#120—21no—
1332#120—21no—
1333#120—21no—
1334#120—21no—
1335#120—21no—
1336#120—21no—
1337#120—21no—
1338#120—21no—
1339C4×Q8C23×C3711yescharacteristic
1340C4×Q8C23×C3711yescharacteristic
1341C4×Q8C23×C3711yescharacteristic
1342C4×D4—21no—
1343C4×D4—21no—
1344C4×D4—21no—
1345C4×D4—21no—
1346C4×D4—21no—
1347C4×D4—21no—
1348C4×D4—21no—
1349C4×D4—21no—
1350C4×D4—21no—
1351C4×D4—21no—
1352C4×D4—21no—
1353C4×D4—21no—
1354C4×D4—21no—
1355C4×D4—21no—
1356C4×D4—21no—
1357C4×D4—21no—
1358C4×D4—21no—
1359C4×D4—21no—
1360C4×D4—21no—
1361C4×D4—21no—
1362C4×D4—21no—
1363C4×D4—21no—
1364C4×D4D4×C3711yescharacteristic
1365C4×D4D4×C3711yescharacteristic
1366C4×D4D4×C3711yescharacteristic
1367C4×D4D4×C3711yescharacteristic
1368C4×D4C23×C3711yescharacteristic
1369C4×D4C23×C3711yescharacteristic
1370C4×D4C23×C3711yescharacteristic
1371C4×D4C23×C3711yescharacteristic
1372C4×D4C23×C3711yescharacteristic
1373C4×D4C23×C3711yescharacteristic
1374C4×D4C23×C3711yescharacteristic
1375C4×D4C23×C3711yescharacteristic
1376C4×D4C23×C3711yescharacteristic
1377#117—21no—
1378#117—21no—
1379#117—21no—
1380#117C23×C3711yescharacteristic
1381#117C23×C3711yescharacteristic
1382#117C23×C3711yescharacteristic
1383C2×C4⋊C4—21no—
1384C2×C4⋊C4D4×C3711yescharacteristic
1385C2×C4⋊C4C23×C3711yescharacteristic
1386C2×C4⋊C4C23×C3711yescharacteristic
1387C2×C22⋊C4—21no—
1388C2×C22⋊C4—21no—
1389C2×C22⋊C4—21no—
1390C2×C22⋊C4—21no—
1391C2×C22⋊C4—21no—
1392C2×C22⋊C4—21no—
1393C2×C22⋊C4D4×C3711yescharacteristic
1394C2×C22⋊C4D4×C3711yescharacteristic
1395C2×C42—21no—
1396C2×C42C23×C3711yescharacteristic
1397#107C23×C3711yescharacteristic
1398#107C23×C3711yescharacteristic
1399#107C23×C3711yescharacteristic
1400#107C23×C3711yescharacteristic
1401#106C23×C3711yescharacteristic
1402#106C23×C3711yescharacteristic
1403#106C23×C3711yescharacteristic
1404#106C23×C3711yescharacteristic
1405C4⋊C8C23×C3711yescharacteristic
1406C4⋊C8C23×C3711yescharacteristic
1407C4⋊C8C23×C3711yescharacteristic
1408C4⋊C8C23×C3711yescharacteristic
1409#103C23×C3711yescharacteristic
1410#103C23×C3711yescharacteristic
1411#103C23×C3711yescharacteristic
1412#103C23×C3711yescharacteristic
1413#103C23×C3711yescharacteristic
1414#103C23×C3711yescharacteristic
1415#103C23×C3711yescharacteristic
1416#103C23×C3711yescharacteristic
1417#103C23×C3711yescharacteristic
1418#103C23×C3711yescharacteristic
1419#103C23×C3711yescharacteristic
1420#103C23×C3711yescharacteristic
1421#103C23×C3711yescharacteristic
1422#103C23×C3711yescharacteristic
1423#102C23×C3711yescharacteristic
1424#102C23×C3711yescharacteristic
1425#102C23×C3711yescharacteristic
1426#102C23×C3711yescharacteristic
1427#102C23×C3711yescharacteristic
1428#102C23×C3711yescharacteristic
1429#102C23×C3711yescharacteristic
1430#102C23×C3711yescharacteristic
1431#102C23×C3711yescharacteristic
1432#102C23×C3711yescharacteristic
1433#102C23×C3711yescharacteristic
1434#102C23×C3711yescharacteristic
1435#102C23×C3711yescharacteristic
1436#102C23×C3711yescharacteristic
1437#102C23×C3711yescharacteristic
1438#102C23×C3711yescharacteristic
1439#102C23×C3711yescharacteristic
1440#102C23×C3711yescharacteristic
1441C22⋊C8C23×C3711yescharacteristic
1442C22⋊C8C23×C3711yescharacteristic
1443C22⋊C8C23×C3711yescharacteristic
1444C22⋊C8C23×C3711yescharacteristic
1445C22⋊C8C23×C3711yescharacteristic
1446C22⋊C8C23×C3711yescharacteristic
1447C22⋊C8C23×C3711yescharacteristic
1448C22⋊C8C23×C3711yescharacteristic
1449C22⋊C8C23×C3711yescharacteristic
1450C22⋊C8C23×C3711yescharacteristic
1451C22⋊C8C23×C3711yescharacteristic
1452C22⋊C8C23×C3711yescharacteristic
1453#97C23×C3711yescharacteristic
1454#97C23×C3711yescharacteristic
1455#97C23×C3711yescharacteristic
1456#97C23×C3711yescharacteristic
1457C24—21no—
1458C24—21no—
1459C24—21no—
1460C24—21no—
1461C24C2×D4×C3711yescharacteristic
1462C24C2×D4×C3711yescharacteristic
1463#41—22no—
1464#41—22no—
1465#41—22no—
1466#41—22no—
1467#41—22no—
1468#41—22no—
1469#41—41no—
1470#41—41no—
1471#41—41no—
1472#41—41no—
1473#41—41no—
1474#41—41no—
1475#41—41no—
1476#41—41no—
1477#41—44no—
1478#41—44no—
1479#41—41no—
1480#41—41no—
1481#41—41no—
1482#41—41no—
1483#41—44no—
1484#41—44no—
1485#41—82no—
1486C2×Q8—21no—
1487C2×Q8—21no—
1488C2×Q8—21no—
1489C2×Q8—22no—
1490C2×Q8—22no—
1491C2×Q8—41no—
1492C2×Q8—41no—
1493C2×Q8C24×C3711yescharacteristic
1494C2×Q8C24×C3711yescharacteristic
1495C2×Q8C24×C3711yescharacteristic
1496C2×Q8C24×C3711yescharacteristic
1497C2×D4—21no—
1498C2×D4—22no—
1499C2×D4—22no—
1500C2×D4—21no—
1501C2×D4—21no—
1502C2×D4—21no—
1503C2×D4—21no—
1504C2×D4—21no—
1505C2×D4—21no—
1506C2×D4—21no—
1507C2×D4—21no—
1508C2×D4—21no—
1509C2×D4—21no—
1510C2×D4—21no—
1511C2×D4—21no—
1512C2×D4—21no—
1513C2×D4—21no—
1514C2×D4—21no—
1515C2×D4—21no—
1516C2×D4—21no—
1517C2×D4—21no—
1518C2×D4—21no—
1519C2×D4—21no—
1520C2×D4—21no—
1521C2×D4—21no—
1522C2×D4—21no—
1523C2×D4—21no—
1524C2×D4—21no—
1525C2×D4—21no—
1526C2×D4—21no—
1527C2×D4—21no—
1528C2×D4—21no—
1529C2×D4—41no—
1530C2×D4—41no—
1531C2×D4—41no—
1532C2×D4—41no—
1533C2×D4—41no—
1534C2×D4—41no—
1535C2×D4—42no—
1536C2×D4—44no—
1537C2×D4—44no—
1538C2×D4—44no—
1539C2×D4—44no—
1540C2×D4—82no—
1541C2×D4—82no—
1542C2×D4C2×D4×C3711yescharacteristic
1543C2×D4C2×D4×C3711yescharacteristic
1544C2×D4C2×D4×C3711yescharacteristic
1545C2×D4C2×D4×C3711yescharacteristic
1546C2×D4C24×C3711yescharacteristic
1547C2×D4C24×C3711yescharacteristic
1548C2×D4C24×C3711yescharacteristic
1549C2×D4C24×C3711yescharacteristic
1550C2×D4C24×C3711yescharacteristic
1551C2×D4C24×C3711yescharacteristic
1552C22×C4—21no—
1553C22×C4—21no—
1554C22×C4—21no—
1555C22×C4—21no—
1556C22×C4—21no—
1557C22×C4—21no—
1558C22×C4—21no—
1559C22×C4—21no—
1560C22×C4—21no—
1561C22×C4—21no—
1562C22×C4—21no—
1563C22×C4—21no—
1564C22×C4—21no—
1565C22×C4—21no—
1566C22×C4—21no—
1567C22×C4—21no—
1568C22×C4—21no—
1569C22×C4—21no—
1570C22×C4—41no—
1571C22×C4—41no—
1572C22×C4—41no—
1573C22×C4—41no—
1574C22×C4—44no—
1575C22×C4—44no—
1576C22×C4C2×D4×C3711yescharacteristic
1577C22×C4C2×D4×C3711yescharacteristic
1578C22×C4C2×D4×C3711yescharacteristic
1579C22×C4C2×D4×C3711yescharacteristic
1580C22×C4C2×D4×C3711yescharacteristic
1581C22×C4C2×D4×C3711yescharacteristic
1582C22×C4C2×D4×C3711yescharacteristic
1583C22×C4C2×D4×C3711yescharacteristic
1584C22×C4C24×C3711yescharacteristic
1585C22×C4C24×C3711yescharacteristic
1586C22×C4C24×C3711yescharacteristic
1587C22×C4C24×C3711yescharacteristic
1588C22×C4C24×C3711yescharacteristic
1589Q16—22no—
1590Q16—41no—
1591Q16—41no—
1592SD16—22no—
1593SD16—22no—
1594SD16—22no—
1595SD16—22no—
1596SD16—41no—
1597SD16—41no—
1598SD16—41no—
1599SD16—41no—
1600SD16—41no—
1601SD16—41no—
1602SD16—41no—
1603SD16—41no—
1604D8—22no—
1605D8—22no—
1606D8—22no—
1607D8—41no—
1608D8—41no—
1609D8—41no—
1610D8—41no—
1611D8—41no—
1612D8—41no—
1613M16—41no—
1614M16—41no—
1615M16—41no—
1616M16—41no—
1617C2×C8—41no—
1618C2×C8—41no—
1619C2×C8—41no—
1620C2×C8—41no—
1621C2×C8C24×C3711yescharacteristic
1622C2×C8C24×C3711yescharacteristic
1623C2×C8C24×C3711yescharacteristic
1624C2×C8C24×C3711yescharacteristic
1625C2×C8C24×C3711yescharacteristic
1626C2×C8C24×C3711yescharacteristic
1627C2×C8C24×C3711yescharacteristic
1628C2×C8C24×C3711yescharacteristic
1629C4⋊C4—21no—
1630C4⋊C4—21no—
1631C4⋊C4—21no—
1632C4⋊C4—21no—
1633C4⋊C4—21no—
1634C4⋊C4—21no—
1635C4⋊C4—21no—
1636C4⋊C4—21no—
1637C4⋊C4—21no—
1638C4⋊C4—21no—
1639C4⋊C4—21no—
1640C4⋊C4—21no—
1641C4⋊C4—21no—
1642C4⋊C4—21no—
1643C4⋊C4—21no—
1644C4⋊C4—21no—
1645C4⋊C4—21no—
1646C4⋊C4C2×D4×C3711yescharacteristic
1647C4⋊C4C2×D4×C3711yescharacteristic
1648C4⋊C4C2×D4×C3711yescharacteristic
1649C4⋊C4C2×D4×C3711yescharacteristic
1650C4⋊C4C24×C3711yescharacteristic
1651C4⋊C4C24×C3711yescharacteristic
1652C4⋊C4C24×C3711yescharacteristic
1653C4⋊C4C24×C3711yescharacteristic
1654C4⋊C4C24×C3711yescharacteristic
1655C4⋊C4C24×C3711yescharacteristic
1656C22⋊C4—21no—
1657C22⋊C4—21no—
1658C22⋊C4—21no—
1659C22⋊C4—21no—
1660C22⋊C4—21no—
1661C22⋊C4—21no—
1662C22⋊C4—21no—
1663C22⋊C4—21no—
1664C22⋊C4—21no—
1665C22⋊C4—21no—
1666C22⋊C4—21no—
1667C22⋊C4—21no—
1668C22⋊C4—21no—
1669C22⋊C4—21no—
1670C22⋊C4—21no—
1671C22⋊C4—21no—
1672C22⋊C4—21no—
1673C22⋊C4—21no—
1674C22⋊C4—21no—
1675C22⋊C4—21no—
1676C22⋊C4—21no—
1677C22⋊C4—21no—
1678C22⋊C4—21no—
1679C22⋊C4—21no—
1680C22⋊C4—21no—
1681C22⋊C4—21no—
1682C22⋊C4—21no—
1683C22⋊C4—21no—
1684C22⋊C4—21no—
1685C22⋊C4—21no—
1686C22⋊C4—21no—
1687C22⋊C4—21no—
1688C22⋊C4—21no—
1689C22⋊C4—21no—
1690C22⋊C4C2×D4×C3711yescharacteristic
1691C22⋊C4C2×D4×C3711yescharacteristic
1692C22⋊C4C2×D4×C3711yescharacteristic
1693C22⋊C4C2×D4×C3711yescharacteristic
1694C22⋊C4C2×D4×C3711yescharacteristic
1695C22⋊C4C2×D4×C3711yescharacteristic
1696C22⋊C4C2×D4×C3711yescharacteristic
1697C22⋊C4C2×D4×C3711yescharacteristic
1698C42—21no—
1699C42—21no—
1700C42—21no—
1701C42—21no—
1702C42—21no—
1703C42—21no—
1704C42C2×D4×C3711yescharacteristic
1705C42C2×D4×C3711yescharacteristic
1706C42C24×C3711yescharacteristic
1707C42C24×C3711yescharacteristic
1708C23—21no—
1709C23—22no—
1710C23—21no—
1711C23—21no—
1712C23—21no—
1713C23—21no—
1714C23—21no—
1715C23—41no—
1716C23—41no—
1717C23—41no—
1718C23—41no—
1719C23—41no—
1720C23—42no—
1721C23—42no—
1722C23—42no—
1723C23—42no—
1724C23—42no—
1725C23—42no—
1726C23—81no—
1727C23—81no—
1728C23—81no—
1729C23—81no—
1730C23—81no—
1731C23—81no—
1732C23C22×D4×C3711yescharacteristic
1733C23C22×D4×C3711yescharacteristic
1734C23C22×D4×C3711yescharacteristic
1735C23C22×D4×C3711yescharacteristic
1736C23C22×D4×C3711yescharacteristic
1737Q8—21no—
1738Q8—21no—
1739Q8—21no—
1740Q8—21no—
1741Q8—21no—
1742Q8—21no—
1743Q8—21no—
1744Q8—42no—
1745Q8—42no—
1746Q8—81no—
1747Q8H(5,𝔽2)×C3712yes—
1748D4—24no—
1749D4—22no—
1750D4—22no—
1751D4—21no—
1752D4—21no—
1753D4—21no—
1754D4—21no—
1755D4—21no—
1756D4—21no—
1757D4—21no—
1758D4—21no—
1759D4—21no—
1760D4—21no—
1761D4—21no—
1762D4—41no—
1763D4—41no—
1764D4—42no—
1765D4—42no—
1766D4—42no—
1767D4—42no—
1768D4—42no—
1769D4—42no—
1770D4—42no—
1771D4—42no—
1772D4—42no—
1773D4—42no—
1774D4—42no—
1775D4—42no—
1776D4—42no—
1777D4—42no—
1778D4—42no—
1779D4—42no—
1780D4—42no—
1781D4—81no—
1782D4—81no—
1783D4—81no—
1784D4—81no—
1785D4—81no—
1786D4—81no—
1787D4—81no—
1788D4—81no—
1789D4—81no—
1790D4—81no—
1791D4—81no—
1792D4—81no—
1793D4H(5,𝔽2)×C3712yes—
1794C2×C4—24no—
1795C2×C4—21no—
1796C2×C4—21no—
1797C2×C4—21no—
1798C2×C4—21no—
1799C2×C4—21no—
1800C2×C4—21no—
1801C2×C4—21no—
1802C2×C4—21no—
1803C2×C4—21no—
1804C2×C4—21no—
1805C2×C4—21no—
1806C2×C4—21no—
1807C2×C4—21no—
1808C2×C4—21no—
1809C2×C4—21no—
1810C2×C4—21no—
1811C2×C4—21no—
1812C2×C4—21no—
1813C2×C4—21no—
1814C2×C4—21no—
1815C2×C4—41no—
1816C2×C4—41no—
1817C2×C4—41no—
1818C2×C4—41no—
1819C2×C4—41no—
1820C2×C4—41no—
1821C2×C4—41no—
1822C2×C4—41no—
1823C2×C4—42no—
1824C2×C4—42no—
1825C2×C4—42no—
1826C2×C4—42no—
1827C2×C4—42no—
1828C2×C4—42no—
1829C2×C4—42no—
1830C2×C4—42no—
1831C2×C4—42no—
1832C2×C4—42no—
1833C2×C4—81no—
1834C2×C4—81no—
1835C2×C4—81no—
1836C2×C4—81no—
1837C2×C4—81no—
1838C2×C4—81no—
1839C2×C4—81no—
1840C2×C4C22×D4×C3711yescharacteristic
1841C2×C4C22×D4×C3711yescharacteristic
1842C2×C4C22×D4×C3711yescharacteristic
1843C2×C4C22×D4×C3711yescharacteristic
1844C2×C4C22×D4×C3711yescharacteristic
1845C2×C4C22×D4×C3711yescharacteristic
1846C2×C4C22×D4×C3711yescharacteristic
1847C2×C4C22×D4×C3711yescharacteristic
1848C2×C4C22×D4×C3711yescharacteristic
1849C2×C4C25×C3711yescharacteristic
1850C8—21no—
1851C8—21no—
1852C8—21no—
1853C8—21no—
1854C8—21no—
1855C8—21no—
1856C8—21no—
1857C8—21no—
1858C22—21no—
1859C22—21no—
1860C22—21no—
1861C22—21no—
1862C22—22no—
1863C22—21no—
1864C22—21no—
1865C22—21no—
1866C22—21no—
1867C22—21no—
1868C22—21no—
1869C22—21no—
1870C22—21no—
1871C22—21no—
1872C22—21no—
1873C22—41no—
1874C22—41no—
1875C22—41no—
1876C22—41no—
1877C22—41no—
1878C22—41no—
1879C22—41no—
1880C22—41no—
1881C22—41no—
1882C22—41no—
1883C22—41no—
1884C22—41no—
1885C22—41no—
1886C22—41no—
1887C22—41no—
1888C22—41no—
1889C22—41no—
1890C22—82no—
1891C22—84no—
1892C22—82no—
1893C22—84no—
1894C22—162no—
1895C22—162no—
1896C22C37×#57512yes—
1897C22C23×D4×C3711yescharacteristic
1898C4—21no—
1899C4—22no—
1900C4—21no—
1901C4—21no—
1902C4—21no—
1903C4—21no—
1904C4—21no—
1905C4—21no—
1906C4—21no—
1907C4—21no—
1908C4—41no—
1909C4—41no—
1910C4—41no—
1911C4—41no—
1912C4—41no—
1913C4—41no—
1914C4—41no—
1915C4—41no—
1916C4—41no—
1917C4C2×H(5,𝔽2)×C3711yescharacteristic
1918C4C2×H(5,𝔽2)×C3711yescharacteristic
1919C2—22no—
1920C2—41no—
1921C2—41no—
1922C2—41no—
1923C2—41no—
1924C2—42no—
1925C2—81no—
1926C2—81no—
1927C2—81no—
1928C2—81no—
1929C2—81no—
1930C2C37×#348411yescharacteristic
1931C2C2×C37×#57511yescharacteristic
1932C2C37×#358511yescharacteristic
subgroupG/H
center, socleC22×C37C23×D4
commutator, Frattini, cosocleC2×C4C25×C37
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C37 ◁ C2×C4×D4×C37 ◁ G

Complements

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

NH ≅ G/Ntype
1. C37×#3519C2semidirect
2. D4×#41×C37C2semidirect
3. C37×#3321C2semidirect
4. C37×#3320C2semidirect
5. C37×#3319C2semidirect
6. C37×#3318C2semidirect
7. C37×#3316C2semidirect
8. C37×#3314C2semidirect
9. C37×#3309C2semidirect
10. C37×#3307C2semidirect
11. C37×#3271C2semidirect
12. C37×#3268C2semidirect
13. C37×#3268C2semidirect
14. C37×#3267C2semidirect
15. C37×#3266C2semidirect
16. C37×#3265C2semidirect
17. C37×#3264C2semidirect
18. C37×#3264C2semidirect
19. C37×#3219C2semidirect
20. C37×#3214C2semidirect
21. C37×#3197C2semidirect
22. C37×#3194C2semidirect
23. C37×#3191C2semidirect
24. C37×#3188C2semidirect
25. C37×#3115C2semidirect
26. C37×#3111C2semidirect
27. C37×#3006C2semidirect
28. C37×#3005C2semidirect
29. C37×#3002C2semidirect
30. C2×C37×#449C2semidirect
31. C37×#2973C2semidirect
32. C22×#41×C37C22semidirect
33. C22×#41×C37C22semidirect
34. C2×#137×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. C2×#135×C37C22semidirect
40. C22×SD16×C37C22semidirect
41. C22×D8×C37C22semidirect
42. C37×#555C22semidirect
43. C37×#554C22semidirect
46. C37×#553C22semidirect
47. C37×#550C22semidirect
48. C37×#550C22semidirect
49. D4×Q8×C37C22semidirect
51. C37×#548C22semidirect
53. C37×#547C22semidirect
60. C37×#546C22semidirect
61. C37×#546C22semidirect
64. D42×C37C22semidirect
65. D42×C37C22semidirect
70. C37×#532C22semidirect
71. C37×#532C22semidirect
72. C37×#529C22semidirect
75. C37×#525C22semidirect
76. C37×#525C22semidirect
77. C37×#525C22semidirect
78. C37×#525C22semidirect
79. C2×#121×C37C22semidirect
80. C2×#121×C37C22semidirect
82. C4×#41×C37C22semidirect
85. C37×#497C22semidirect
86. C37×#496C22semidirect
87. C37×#496C22semidirect
88. C37×#496C22semidirect
89. C37×#491C22semidirect
90. C37×#490C22semidirect
91. C37×#489C22semidirect
92. C37×#489C22semidirect
93. C37×#485C22semidirect
94. C37×#485C22semidirect
95. C37×#485C22semidirect
96. C37×#484C22semidirect
97. C37×#483C22semidirect
98. C37×#482C22semidirect
99. C37×#482C22semidirect
100. C37×#482C22semidirect
101. C37×#482C22semidirect
102. C37×#482C22semidirect
103. C37×#481C22semidirect
104. C37×#480C22semidirect
105. C37×#479C22semidirect
106. C37×#478C22semidirect
107. C37×#475C22semidirect
108. C37×#474C22semidirect
109. C37×#470C22semidirect
110. C37×#469C22semidirect
111. C37×#469C22semidirect
112. C37×#469C22semidirect
113. C37×#468C22semidirect
114. C37×#468C22semidirect
115. C37×#468C22semidirect
116. C37×#468C22semidirect
117. C37×#467C22semidirect
118. C37×#466C22semidirect
119. C37×#466C22semidirect
120. C37×#466C22semidirect
121. C37×#465C22semidirect
122. C37×#465C22semidirect
123. C37×#465C22semidirect
124. C37×#465C22semidirect
125. C37×#464C22semidirect
126. C37×#464C22semidirect
127. C37×#464C22semidirect
128. C37×#463C22semidirect
129. C37×#463C22semidirect
130. C37×#463C22semidirect
131. C37×#461C22semidirect
132. C37×#461C22semidirect
133. C37×#460C22semidirect
134. C37×#459C22semidirect
135. C37×#459C22semidirect
136. C37×#459C22semidirect
137. C37×#452C22semidirect
138. C37×#452C22semidirect
139. C37×#452C22semidirect
140. C37×#452C22semidirect
141. C37×#452C22semidirect
142. C37×#452C22semidirect
143. C37×#452C22semidirect
144. C37×#451C22semidirect
145. C37×#450C22semidirect
146. C37×#450C22semidirect
147. C37×#450C22semidirect
149. C37×#449C22semidirect
150. C37×#449C22semidirect
151. C37×#449C22semidirect
152. C37×#449C22semidirect
153. C37×#449C22semidirect
154. C37×#449C22semidirect
155. C37×#449C22semidirect
156. C37×#449C22semidirect
157. C37×#449C22semidirect
158. C37×#449C22semidirect
159. C37×#449C22semidirect
160. C37×#449C22semidirect
161. C37×#449C22semidirect
162. C37×#449C22semidirect
163. C37×#449C22semidirect
164. C37×#449C22semidirect
165. C37×#448C22semidirect
166. C37×#448C22semidirect
167. C37×#448C22semidirect
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×#441C22semidirect
177. C37×#440C22semidirect
178. C37×#440C22semidirect
179. C37×#440C22semidirect
180. C37×#440C22semidirect
181. C37×#435C22semidirect
182. C37×#435C22semidirect
183. C37×#435C22semidirect
184. C37×#435C22semidirect
185. C37×#435C22semidirect
186. C37×#435C22semidirect
187. C37×#435C22semidirect
188. C37×#435C22semidirect
189. C37×#432C22semidirect
190. C37×#432C22semidirect
191. C37×#419C22semidirect
192. C37×#418C22semidirect
193. C37×#417C22semidirect
194. C37×#417C22semidirect
195. C37×#416C22semidirect
196. C37×#416C22semidirect
197. C2×#103×C37C22semidirect
198. C2×#102×C37C22semidirect
199. C37×#407C22semidirect
200. C37×#407C22semidirect
201. C2×C22⋊C8×C37C22semidirect
202. C2×C22⋊C8×C37C22semidirect
891. #61579C37direct (N × H)
953. #3519C2×C37semidirect
954. D4×#41C2×C37semidirect
955. #3321C2×C37semidirect
956. #3320C2×C37semidirect
957. #3319C2×C37semidirect
958. #3318C2×C37semidirect
959. #3316C2×C37semidirect
960. #3314C2×C37semidirect
961. #3309C2×C37semidirect
962. #3307C2×C37semidirect
963. #3271C2×C37semidirect
964. #3268C2×C37semidirect
965. #3268C2×C37semidirect
966. #3267C2×C37semidirect
967. #3266C2×C37semidirect
968. #3265C2×C37semidirect
969. #3264C2×C37semidirect
970. #3264C2×C37semidirect
971. #3219C2×C37semidirect
972. #3214C2×C37semidirect
973. #3197C2×C37semidirect
974. #3194C2×C37semidirect
975. #3191C2×C37semidirect
976. #3188C2×C37semidirect
977. #3115C2×C37semidirect
978. #3111C2×C37semidirect
979. #3006C2×C37semidirect
980. #3005C2×C37semidirect
981. #3002C2×C37semidirect
982. C2×#449C2×C37semidirect
983. #2973C2×C37semidirect
998. C22×#41C22×C37semidirect
999. C22×#41C22×C37semidirect
1000. C2×#137C22×C37semidirect
1001. C2×AGL(1,ℤ/8)C22×C37semidirect
1002. C2×AGL(1,ℤ/8)C22×C37semidirect
1003. C2×AGL(1,ℤ/8)C22×C37semidirect
1004. C2×#135C22×C37semidirect
1005. C2×#135C22×C37semidirect
1006. C22×SD16C22×C37semidirect
1007. C22×D8C22×C37semidirect
1008. #555C22×C37semidirect
1009. #554C22×C37semidirect
1012. #553C22×C37semidirect
1013. #550C22×C37semidirect
1014. #550C22×C37semidirect
1015. D4×Q8C22×C37semidirect
1017. #548C22×C37semidirect
1019. #547C22×C37semidirect
1026. #546C22×C37semidirect
1027. #546C22×C37semidirect
1030. D42C22×C37semidirect
1031. D42C22×C37semidirect
1036. #532C22×C37semidirect
1037. #532C22×C37semidirect
1038. #529C22×C37semidirect
1041. #525C22×C37semidirect
1042. #525C22×C37semidirect
1043. #525C22×C37semidirect
1044. #525C22×C37semidirect
1045. C2×#121C22×C37semidirect
1046. C2×#121C22×C37semidirect
1048. C4×#41C22×C37semidirect
1051. #497C22×C37semidirect
1052. #496C22×C37semidirect
1053. #496C22×C37semidirect
1054. #496C22×C37semidirect
1055. #491C22×C37semidirect
1056. #490C22×C37semidirect
1057. #489C22×C37semidirect
1058. #489C22×C37semidirect
1059. #485C22×C37semidirect
1060. #485C22×C37semidirect
1061. #485C22×C37semidirect
1062. #484C22×C37semidirect
1063. #483C22×C37semidirect
1064. #482C22×C37semidirect
1065. #482C22×C37semidirect
1066. #482C22×C37semidirect
1067. #482C22×C37semidirect
1068. #482C22×C37semidirect
1069. #481C22×C37semidirect
1070. #480C22×C37semidirect
1071. #479C22×C37semidirect
1072. #478C22×C37semidirect
1073. #475C22×C37semidirect
1074. #474C22×C37semidirect
1075. #470C22×C37semidirect
1076. #469C22×C37semidirect
1077. #469C22×C37semidirect
1078. #469C22×C37semidirect
1079. #468C22×C37semidirect
1080. #468C22×C37semidirect
1081. #468C22×C37semidirect
1082. #468C22×C37semidirect
1083. #467C22×C37semidirect
1084. #466C22×C37semidirect
1085. #466C22×C37semidirect
1086. #466C22×C37semidirect
1087. #465C22×C37semidirect
1088. #465C22×C37semidirect
1089. #465C22×C37semidirect
1090. #465C22×C37semidirect
1091. #464C22×C37semidirect
1092. #464C22×C37semidirect
1093. #464C22×C37semidirect
1094. #463C22×C37semidirect
1095. #463C22×C37semidirect
1096. #463C22×C37semidirect
1097. #461C22×C37semidirect
1098. #461C22×C37semidirect
1099. #460C22×C37semidirect
1100. #459C22×C37semidirect
1101. #459C22×C37semidirect
1102. #459C22×C37semidirect
1103. #452C22×C37semidirect
1104. #452C22×C37semidirect
1105. #452C22×C37semidirect
1106. #452C22×C37semidirect
1107. #452C22×C37semidirect
1108. #452C22×C37semidirect
1109. #452C22×C37semidirect
1110. #451C22×C37semidirect
1111. #450C22×C37semidirect
1112. #450C22×C37semidirect
1113. #450C22×C37semidirect
1115. #449C22×C37semidirect
1116. #449C22×C37semidirect
1117. #449C22×C37semidirect
1118. #449C22×C37semidirect
1119. #449C22×C37semidirect
1120. #449C22×C37semidirect
1121. #449C22×C37semidirect
1122. #449C22×C37semidirect
1123. #449C22×C37semidirect
1124. #449C22×C37semidirect
1125. #449C22×C37semidirect
1126. #449C22×C37semidirect
1127. #449C22×C37semidirect
1128. #449C22×C37semidirect
1129. #449C22×C37semidirect
1130. #449C22×C37semidirect
1131. #448C22×C37semidirect
1132. #448C22×C37semidirect
1133. #448C22×C37semidirect
1134. #447C22×C37semidirect
1135. #447C22×C37semidirect
1136. #447C22×C37semidirect
1137. #447C22×C37semidirect
1138. #447C22×C37semidirect
1139. #442C22×C37semidirect
1140. #442C22×C37semidirect
1141. #442C22×C37semidirect
1142. #441C22×C37semidirect
1143. #440C22×C37semidirect
1144. #440C22×C37semidirect
1145. #440C22×C37semidirect
1146. #440C22×C37semidirect
1147. #435C22×C37semidirect
1148. #435C22×C37semidirect
1149. #435C22×C37semidirect
1150. #435C22×C37semidirect
1151. #435C22×C37semidirect
1152. #435C22×C37semidirect
1153. #435C22×C37semidirect
1154. #435C22×C37semidirect
1155. #432C22×C37semidirect
1156. #432C22×C37semidirect
1157. #419C22×C37semidirect
1158. #418C22×C37semidirect
1159. #417C22×C37semidirect
1160. #417C22×C37semidirect
1161. #416C22×C37semidirect
1162. #416C22×C37semidirect
1163. C2×#103C22×C37semidirect
1164. C2×#102C22×C37semidirect
1165. #407C22×C37semidirect
1166. #407C22×C37semidirect
1167. C2×C22⋊C8C22×C37semidirect
1168. C2×C22⋊C8C22×C37semidirect
1169. C37#61579direct (N × H)

Maximal subgroups

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

subgroupindex
C37×#35192
D4×#41×C372
C37×#33212
C37×#33202
C37×#33192
C37×#33182
C37×#33162
C37×#33142
C37×#33092
C37×#33072
C37×#32712
C37×#32682
C37×#32672
C37×#32662
C37×#32652
C37×#32642
C37×#32192
C37×#32142
C37×#31972
C37×#31942
C37×#31912
C37×#31882
C37×#31152
C37×#31112
C37×#30062
C37×#30052
C37×#30022
C2×C37×#4492
C37×#29732
#6157937