Finite Group Databasebeta

← C37×#61613 #22682866

Subgroups — C37×#61613 #22682866

Order 9472.

2056 conjugacy classes of subgroups.

The subgroup lattice has 1870 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C37×#3541C211yesmaximal, characteristic, complemented
2C37×#3485C211yesmaximal, characteristic, complemented
3C37×#3331C211yesmaximal, characteristic, complemented
4C37×#3322C211yesmaximal, characteristic, complemented
5C37×#3315C211yesmaximal, characteristic, complemented
6C37×#3314C211yesmaximal, characteristic, complemented
7C37×#3311C211yesmaximal, characteristic, complemented
8C37×#3307C211yesmaximal, characteristic, complemented
9C37×#3302C211yesmaximal, characteristic, complemented
10C37×#3296C211yesmaximal, characteristic, complemented
11C37×#3283C211yesmaximal, characteristic, complemented
12C37×#3282C211yesmaximal, characteristic, complemented
13C37×#3276C211yesmaximal, characteristic, complemented
14C37×#3275C211yesmaximal, characteristic, complemented
15C37×#3269C211yesmaximal, characteristic, complemented
16C37×#3269C211yesmaximal, characteristic, complemented
17C37×#3267C211yesmaximal, characteristic, complemented
18C37×#3266C211yesmaximal, characteristic, complemented
19C37×#3225C211yesmaximal, characteristic, complemented
20C37×#3223C211yesmaximal, characteristic, complemented
21C37×#3202C211yesmaximal, characteristic, complemented
22C37×#3201C211yesmaximal, characteristic, complemented
23C37×#3197C211yesmaximal, characteristic, complemented
24C37×#3190C211yesmaximal, characteristic, complemented
25C37×#3123C211yesmaximal, characteristic, complemented
26C37×#3118C211yesmaximal, characteristic, complemented
27C37×#3012C211yesmaximal, characteristic, complemented
28C37×#3009C211yesmaximal, characteristic, complemented
29C37×#3007C211yesmaximal, characteristic, complemented
30C37×#3002C211yesmaximal, characteristic, complemented
31C37×#2976C211yesmaximal, characteristic, complemented
32C2×H(5,𝔽2)×C37C2211yescharacteristic
33C22×#41×C37C2211yescharacteristic
34C2×#137×C37C2211yescharacteristic, complemented
35C2×#137×C37C2211yescharacteristic, complemented
36C2×#137×C37C2211yescharacteristic, complemented
37C2×AGL(1,ℤ/8)×C37C2211yescharacteristic, complemented
38C2×#135×C37C2211yescharacteristic, complemented
39C2×#135×C37C2211yescharacteristic, complemented
40C2×#135×C37C2211yescharacteristic, complemented
41C22×SD16×C37C2211yescharacteristic, complemented
42C37×#563—21no—
43C37×#562—21no—
44C37×#556C2211yescharacteristic, complemented
45C37×#554—21no—
46C37×#554C2211yescharacteristic, complemented
47C37×#553—21no—
48C37×#553C2211yescharacteristic, complemented
49C37×#552C2211yescharacteristic, complemented
50D4×Q8×C37C2211yescharacteristic, complemented
51C37×#548C2211yescharacteristic, complemented
52C37×#548C2211yescharacteristic, complemented
53C37×#547—21no—
54C37×#547—21no—
55C37×#547C2211yescharacteristic
56C37×#547C2211yescharacteristic
57C37×#547C2211yescharacteristic
58C37×#547C2211yescharacteristic
59C37×#547C2211yescharacteristic, complemented
60C37×#546—21no—
61C37×#546—21no—
62C37×#546C2211yescharacteristic
63C37×#546C2211yescharacteristic
64C37×#546C2211yescharacteristic
65C37×#546C2211yescharacteristic
66C37×#542—21no—
67C37×#542C2211yescharacteristic, complemented
68C37×#541C2211yescharacteristic, complemented
69C37×#539—21no—
70C37×#538—21no—
71C37×#538—21no—
72C37×#537C2211yescharacteristic
73C37×#536C2211yescharacteristic
74C37×#536C2211yescharacteristic
75C37×#536C2211yescharacteristic
76C37×#534—21no—
77C37×#534—21no—
78C37×#525C2211yescharacteristic
79C37×#525C2211yescharacteristic
80C37×#525C2211yescharacteristic, complemented
81C2×#123×C37—21no—
82C2×#123×C37—21no—
83C2×C22⋊Q8×C37C2211yescharacteristic, complemented
84C37×#518C2211yescharacteristic
85C37×#497C2211yescharacteristic, complemented
86C37×#497C2211yescharacteristic, complemented
87C37×#495C2211yescharacteristic, complemented
88C37×#494C2211yescharacteristic, complemented
89C37×#491C2211yescharacteristic, complemented
90C37×#489C2211yescharacteristic, complemented
91C37×#488C2211yescharacteristic, complemented
92C37×#487C2211yescharacteristic, complemented
93C37×#485C2211yescharacteristic, complemented
94C37×#485C2211yescharacteristic, complemented
95C37×#485C2211yescharacteristic, complemented
96C37×#485C2211yescharacteristic, complemented
97C37×#485C2211yescharacteristic, complemented
98C37×#485C2211yescharacteristic, complemented
99C37×#484C2211yescharacteristic, complemented
100C37×#483C2211yescharacteristic, complemented
101C37×#483C2211yescharacteristic, complemented
102C37×#482C2211yescharacteristic, complemented
103C37×#482C2211yescharacteristic, complemented
104C37×#480C2211yescharacteristic, complemented
105C37×#478C2211yescharacteristic, complemented
106C37×#478C2211yescharacteristic, complemented
107C37×#476C2211yescharacteristic, complemented
108C37×#474C2211yescharacteristic, complemented
109C37×#470C2211yescharacteristic, complemented
110C37×#470C2211yescharacteristic, complemented
111C37×#470C2211yescharacteristic, complemented
112C37×#470C2211yescharacteristic, complemented
113C37×#469C2211yescharacteristic, complemented
114C37×#468C2211yescharacteristic, complemented
115C37×#468C2211yescharacteristic, complemented
116C37×#468C2211yescharacteristic, complemented
117C37×#467C2211yescharacteristic, complemented
118C37×#467C2211yescharacteristic, complemented
119C37×#467C2211yescharacteristic, complemented
120C37×#467C2211yescharacteristic, complemented
121C37×#467C2211yescharacteristic, 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×#462C2211yescharacteristic, complemented
132C37×#462C2211yescharacteristic, complemented
133C37×#462C2211yescharacteristic, complemented
134C37×#461C2211yescharacteristic, complemented
135C37×#461C2211yescharacteristic, complemented
136C37×#461C2211yescharacteristic, complemented
137C37×#452C2211yescharacteristic
138C37×#452C2211yescharacteristic
139C37×#452C2211yescharacteristic
140C37×#452C2211yescharacteristic, complemented
141C37×#452C2211yescharacteristic, complemented
142C37×#452C2211yescharacteristic, complemented
143C37×#452C2211yescharacteristic, complemented
144C37×#452C2211yescharacteristic, complemented
145C37×#452C2211yescharacteristic, complemented
146C37×#452C2211yescharacteristic, complemented
147C37×#452C2211yescharacteristic, complemented
148C37×#452C2211yescharacteristic, complemented
149C37×#452C2211yescharacteristic, complemented
150C37×#452C2211yescharacteristic, complemented
151C37×#452C2211yescharacteristic, complemented
152C37×#451C2211yescharacteristic, complemented
153C37×#451C2211yescharacteristic, complemented
154C37×#451C2211yescharacteristic, complemented
155C37×#451C2211yescharacteristic, complemented
156C37×#451C2211yescharacteristic, complemented
157C37×#451C2211yescharacteristic, complemented
158C37×#450C2211yescharacteristic
159C37×#450C2211yescharacteristic
160C37×#450C2211yescharacteristic
161C37×#450C2211yescharacteristic, complemented
162C37×#450C2211yescharacteristic, complemented
163C37×#450C2211yescharacteristic, complemented
164C37×#449C2211yescharacteristic
165C37×#449C2211yescharacteristic, complemented
166C37×#449C2211yescharacteristic, complemented
167C37×#449C2211yescharacteristic, complemented
168C37×#449C2211yescharacteristic, complemented
169C37×#448C2211yescharacteristic, complemented
170C37×#448C2211yescharacteristic, complemented
171C37×#447C2211yescharacteristic
172C37×#447C2211yescharacteristic, complemented
173C37×#442C2211yescharacteristic, complemented
174C37×#440C2211yescharacteristic, complemented
175C37×#440C2211yescharacteristic, complemented
176C37×#440C2211yescharacteristic, complemented
177C4×SD16×C37C2211yescharacteristic, complemented
178C4×SD16×C37C2211yescharacteristic, complemented
179C4×SD16×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×#417C2211yescharacteristic, complemented
193C37×#417C2211yescharacteristic, complemented
194C37×#417C2211yescharacteristic, complemented
195C37×#416C2211yescharacteristic, complemented
196C37×#416C2211yescharacteristic, complemented
197C37×#416C2211yescharacteristic, complemented
198C2×#102×C37C2211yescharacteristic, complemented
199C37×#408C2211yescharacteristic
200C37×#408C2211yescharacteristic
201C37×#407C2211yescharacteristic, complemented
202C2×C22⋊C8×C37C2211yescharacteristic, complemented
203H(5,𝔽2)×C37—42no—
204H(5,𝔽2)×C37—42no—
205C2×#41×C37—21no—
206C2×#41×C37—21no—
207C2×#41×C37—21no—
208C2×#41×C37—42no—
209C2×#41×C37—42no—
210C2×#41×C37C2311yescharacteristic
211C2×#41×C37C2311yescharacteristic
212C2×#41×C37C2311yescharacteristic
213C2×#41×C37C2311yescharacteristic
214C2×#41×C37C2311yescharacteristic
215C2×#41×C37C2311yescharacteristic
216C2×#41×C37C2311yescharacteristic
217C2×#41×C37C2311yescharacteristic
218C2×#41×C37C2311yescharacteristic
219C2×#41×C37C2311yescharacteristic
220C22×Q8×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×C37C2311yescharacteristic
228C22×D4×C37C2311yescharacteristic
229C22×D4×C37C2311yescharacteristic
230C23×C4×C37—21no—
231C23×C4×C37C2311yescharacteristic
232#137×C37—42no—
233#137×C37—42no—
234#137×C37—42no—
235AGL(1,ℤ/8)×C37—42no—
236#135×C37—42no—
237#135×C37—42no—
238#135×C37—42no—
239C2×Q16×C37C2311yescharacteristic
240C2×Q16×C37C2311yescharacteristic
241C2×Q16×C37C2311yescharacteristic
242C2×Q16×C37C2311yescharacteristic
243C2×Q16×C37C2311yescharacteristic
244C2×Q16×C37C2311yescharacteristic
245C2×Q16×C37C2311yescharacteristic
246C2×Q16×C37C2311yescharacteristic
247C2×Q16×C37C2311yescharacteristic
248C2×SD16×C37—42no—
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×SD16×C37C2311yescharacteristic
261C2×D8×C37C2311yescharacteristic
262C2×D8×C37C2311yescharacteristic
263C2×D8×C37C2311yescharacteristic
264C2×M16×C37C2311yescharacteristic
265C2×M16×C37C2311yescharacteristic
266C2×M16×C37C2311yescharacteristic
267C2×M16×C37C2311yescharacteristic
268C22×C8×C37C2311yescharacteristic
269C22×C8×C37C2311yescharacteristic
270C22×C8×C37C2311yescharacteristic
271C22×C8×C37C2311yescharacteristic
272C4⋊Q8×C37—21no—
273C4⋊Q8×C37—21no—
274C4⋊Q8×C37—21no—
275C4⋊Q8×C37C2311yescharacteristic
276C4⋊Q8×C37C2311yescharacteristic
277C4⋊Q8×C37C2311yescharacteristic
278C4⋊Q8×C37C2311yescharacteristic
279#126×C37—21no—
280#126×C37—21no—
281#126×C37—21no—
282#126×C37—21no—
283#126×C37—21no—
284#126×C37—21no—
285#126×C37—21no—
286#125×C37—21no—
287#125×C37—21no—
288#125×C37—21no—
289#125×C37—21no—
290#125×C37C2311yescharacteristic
291#124×C37—21no—
292#124×C37—21no—
293#124×C37—21no—
294#124×C37—21no—
295#124×C37—21no—
296#124×C37—21no—
297#124×C37C2311yescharacteristic
298#124×C37C2311yescharacteristic
299#124×C37C2311yescharacteristic
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×C37—21no—
315#123×C37—21no—
316#123×C37—21no—
317#123×C37—21no—
318#123×C37—21no—
319#123×C37—21no—
320#123×C37—21no—
321#123×C37—21no—
322#123×C37—21no—
323#123×C37—21no—
324#123×C37—21no—
325#123×C37D411yescharacteristic
326#123×C37D411yescharacteristic
327C22⋊Q8×C37—21no—
328C22⋊Q8×C37—21no—
329C22⋊Q8×C37—21no—
330C22⋊Q8×C37—21no—
331C22⋊Q8×C37—21no—
332C22⋊Q8×C37—21no—
333C22⋊Q8×C37—21no—
334C22⋊Q8×C37—21no—
335C22⋊Q8×C37—21no—
336C22⋊Q8×C37—21no—
337C22⋊Q8×C37—21no—
338C22⋊Q8×C37—21no—
339C22⋊Q8×C37D411yescharacteristic
340C22⋊Q8×C37D411yescharacteristic
341C22⋊Q8×C37C2311yescharacteristic
342C22⋊Q8×C37C2311yescharacteristic
343C22⋊Q8×C37C2311yescharacteristic
344C22⋊Q8×C37C2311yescharacteristic
345C22⋊Q8×C37C2311yescharacteristic
346C22⋊Q8×C37C2311yescharacteristic
347C22⋊Q8×C37C2311yescharacteristic
348C22⋊Q8×C37C2311yescharacteristic
349C22⋊Q8×C37C2311yescharacteristic
350C22⋊Q8×C37C2311yescharacteristic
351C22⋊Q8×C37C2311yescharacteristic
352C22⋊Q8×C37C2311yescharacteristic
353C22⋊Q8×C37C2311yescharacteristic
354C22⋊Q8×C37C2311yescharacteristic
355C22⋊Q8×C37C2311yescharacteristic
356#121×C37—21no—
357#121×C37—21no—
358#121×C37—21no—
359#121×C37—21no—
360#121×C37—21no—
361#121×C37—21no—
362#121×C37—21no—
363#121×C37—21no—
364#121×C37—21no—
365#121×C37—21no—
366#121×C37—21no—
367#121×C37—21no—
368#121×C37—21no—
369#121×C37—21no—
370#121×C37—21no—
371#121×C37D411yescharacteristic
372#121×C37D411yescharacteristic
373#121×C37C2311yescharacteristic
374#121×C37C2311yescharacteristic
375#121×C37C2311yescharacteristic
376#121×C37C2311yescharacteristic
377#121×C37C2311yescharacteristic
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×C37D411yescharacteristic
385#120×C37D411yescharacteristic
386C4×Q8×C37—21no—
387C4×Q8×C37C2311yescharacteristic
388C4×Q8×C37C2311yescharacteristic
389C4×Q8×C37C2311yescharacteristic
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×C37—21no—
398C4×D4×C37—21no—
399C4×D4×C37—21no—
400C4×D4×C37—21no—
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×C37C2311yescharacteristic
412#117×C37C2311yescharacteristic
413#117×C37C2311yescharacteristic
414#117×C37C2311yescharacteristic
415C2×C4⋊C4×C37—21no—
416C2×C4⋊C4×C37—21no—
417C2×C4⋊C4×C37—21no—
418C2×C4⋊C4×C37—21no—
419C2×C4⋊C4×C37—21no—
420C2×C4⋊C4×C37—21no—
421C2×C4⋊C4×C37C2311yescharacteristic
422C2×C4⋊C4×C37C2311yescharacteristic
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
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#103×C37C2311yescharacteristic
457#103×C37C2311yescharacteristic
458#103×C37C2311yescharacteristic
459#103×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
488C4×C8×C37C2311yescharacteristic
489C4×C8×C37C2311yescharacteristic
490C24×C37—21no—
491C24×C37—21no—
492C24×C37—21no—
493C24×C37C2×D411yescharacteristic
494#41×C37—22no—
495#41×C37—22no—
496#41×C37—22no—
497#41×C37—22no—
498#41×C37—22no—
499#41×C37—22no—
500#41×C37—41no—
501#41×C37—41no—
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—41no—
511#41×C37—41no—
512#41×C37—41no—
513#41×C37—41no—
514#41×C37—44no—
515#41×C37—44no—
516#41×C37—44no—
517C2×Q8×C37—21no—
518C2×Q8×C37—21no—
519C2×Q8×C37—21no—
520C2×Q8×C37—21no—
521C2×Q8×C37—41no—
522C2×Q8×C37—41no—
523C2×Q8×C37—41no—
524C2×Q8×C37—41no—
525C2×Q8×C37—41no—
526C2×Q8×C37—41no—
527C2×Q8×C37C2×D411yescharacteristic
528C2×Q8×C37C2411yescharacteristic
529C2×Q8×C37C2411yescharacteristic
530C2×Q8×C37C2411yescharacteristic
531C2×Q8×C37C2411yescharacteristic
532C2×Q8×C37C2411yescharacteristic
533C2×Q8×C37C2411yescharacteristic
534C2×D4×C37—22no—
535C2×D4×C37—22no—
536C2×D4×C37—22no—
537C2×D4×C37—22no—
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—41no—
556C2×D4×C37—41no—
557C2×D4×C37—44no—
558C2×D4×C37—44no—
559C2×D4×C37—44no—
560C2×D4×C37—44no—
561C2×D4×C37C2×D411yescharacteristic
562C2×D4×C37C2×D411yescharacteristic
563C2×D4×C37C2×D411yescharacteristic
564C2×D4×C37C2×D411yescharacteristic
565C2×D4×C37C2×D411yescharacteristic
566C2×D4×C37C2×D411yescharacteristic
567C2×D4×C37C2×D411yescharacteristic
568C2×D4×C37C2411yescharacteristic
569C2×D4×C37C2411yescharacteristic
570C2×D4×C37C2411yescharacteristic
571C2×D4×C37C2411yescharacteristic
572C22×C4×C37—21no—
573C22×C4×C37—21no—
574C22×C4×C37—21no—
575C22×C4×C37—21no—
576C22×C4×C37—21no—
577C22×C4×C37—21no—
578C22×C4×C37—21no—
579C22×C4×C37—21no—
580C22×C4×C37—21no—
581C22×C4×C37—21no—
582C22×C4×C37—21no—
583C22×C4×C37—21no—
584C22×C4×C37—21no—
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—41no—
592C22×C4×C37—41no—
593C22×C4×C37—44no—
594C22×C4×C37C2×D411yescharacteristic
595C22×C4×C37C2×D411yescharacteristic
596C22×C4×C37C2×D411yescharacteristic
597C22×C4×C37C2411yescharacteristic
598C22×C4×C37C2411yescharacteristic
599C22×C4×C37C2411yescharacteristic
600C22×C4×C37C2411yescharacteristic
601C22×C4×C37C2411yescharacteristic
602Q16×C37—41no—
603Q16×C37—41no—
604Q16×C37—41no—
605Q16×C37—41no—
606Q16×C37—41no—
607Q16×C37—41no—
608Q16×C37—41no—
609Q16×C37—41no—
610Q16×C37—41no—
611SD16×C37—22no—
612SD16×C37—22no—
613SD16×C37—22no—
614SD16×C37—22no—
615SD16×C37—22no—
616SD16×C37—22no—
617SD16×C37—41no—
618SD16×C37—41no—
619SD16×C37—41no—
620SD16×C37—41no—
621SD16×C37—41no—
622SD16×C37—41no—
623D8×C37—22no—
624D8×C37—22no—
625D8×C37—41no—
626M16×C37—41no—
627M16×C37—41no—
628M16×C37—41no—
629M16×C37—41no—
630C2×C8×C37—41no—
631C2×C8×C37—41no—
632C2×C8×C37—41no—
633C2×C8×C37—41no—
634C2×C8×C37C2411yescharacteristic
635C2×C8×C37C2411yescharacteristic
636C2×C8×C37C2411yescharacteristic
637C2×C8×C37C2411yescharacteristic
638C2×C8×C37C2411yescharacteristic
639C2×C8×C37C2411yescharacteristic
640C2×C8×C37C2411yescharacteristic
641C2×C8×C37C2411yescharacteristic
642C4⋊C4×C37—21no—
643C4⋊C4×C37—21no—
644C4⋊C4×C37—21no—
645C4⋊C4×C37—21no—
646C4⋊C4×C37—21no—
647C4⋊C4×C37—21no—
648C4⋊C4×C37—21no—
649C4⋊C4×C37—21no—
650C4⋊C4×C37—21no—
651C4⋊C4×C37—21no—
652C4⋊C4×C37—21no—
653C4⋊C4×C37—21no—
654C4⋊C4×C37—21no—
655C4⋊C4×C37—21no—
656C4⋊C4×C37—21no—
657C4⋊C4×C37—21no—
658C4⋊C4×C37—21no—
659C4⋊C4×C37—21no—
660C4⋊C4×C37—21no—
661C4⋊C4×C37—21no—
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×C37C2×D411yescharacteristic
672C4⋊C4×C37C2×D411yescharacteristic
673C4⋊C4×C37C2×D411yescharacteristic
674C4⋊C4×C37C2×D411yescharacteristic
675C4⋊C4×C37C2×D411yescharacteristic
676C4⋊C4×C37C2×D411yescharacteristic
677C4⋊C4×C37C2411yescharacteristic
678C4⋊C4×C37C2411yescharacteristic
679C4⋊C4×C37C2411yescharacteristic
680C4⋊C4×C37C2411yescharacteristic
681C4⋊C4×C37C2411yescharacteristic
682C4⋊C4×C37C2411yescharacteristic
683C22⋊C4×C37—21no—
684C22⋊C4×C37—21no—
685C22⋊C4×C37—21no—
686C22⋊C4×C37—21no—
687C22⋊C4×C37—21no—
688C22⋊C4×C37—21no—
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×C37C2×D411yescharacteristic
718C22⋊C4×C37C2×D411yescharacteristic
719C22⋊C4×C37C2×D411yescharacteristic
720C22⋊C4×C37C2×D411yescharacteristic
721C22⋊C4×C37C2×D411yescharacteristic
722C22⋊C4×C37C2×D411yescharacteristic
723C22⋊C4×C37C2×D411yescharacteristic
724C22⋊C4×C37C2×D411yescharacteristic
725C22⋊C4×C37C2×D411yescharacteristic
726C22⋊C4×C37C2×D411yescharacteristic
727C42×C37—21no—
728C42×C37—21no—
729C42×C37—21no—
730C42×C37—21no—
731C42×C37—21no—
732C42×C37—21no—
733C42×C37C2411yescharacteristic
734C42×C37C2411yescharacteristic
735C23×C37—24no—
736C23×C37—21no—
737C23×C37—21no—
738C23×C37—21no—
739C23×C37—21no—
740C23×C37—41no—
741C23×C37—41no—
742C23×C37—41no—
743C23×C37—42no—
744C23×C37—42no—
745C23×C37—81no—
746C23×C37—81no—
747C23×C37—81no—
748C23×C37—81no—
749C23×C37—81no—
750C23×C37—81no—
751C23×C37C22×D411yescharacteristic
752C23×C37C22×D411yescharacteristic
753C23×C37C22×D411yescharacteristic
754C23×C37C22×D411yescharacteristic
755C23×C37C22×D411yescharacteristic
756Q8×C37—21no—
757Q8×C37—21no—
758Q8×C37—21no—
759Q8×C37—21no—
760Q8×C37—21no—
761Q8×C37—21no—
762Q8×C37—21no—
763Q8×C37—21no—
764Q8×C37—21no—
765Q8×C37—21no—
766Q8×C37—21no—
767Q8×C37—21no—
768Q8×C37—41no—
769Q8×C37—42no—
770Q8×C37—81no—
771Q8×C37—81no—
772Q8×C37—81no—
773D4×C37—24no—
774D4×C37—21no—
775D4×C37—21no—
776D4×C37—21no—
777D4×C37—21no—
778D4×C37—21no—
779D4×C37—21no—
780D4×C37—41no—
781D4×C37—41no—
782D4×C37—41no—
783D4×C37—41no—
784D4×C37—41no—
785D4×C37—41no—
786D4×C37—41no—
787D4×C37—42no—
788D4×C37—42no—
789D4×C37—42no—
790D4×C37—42no—
791D4×C37—42no—
792D4×C37—42no—
793D4×C37—42no—
794D4×C37—42no—
795D4×C37—42no—
796D4×C37—42no—
797D4×C37—81no—
798D4×C37—81no—
799D4×C37—81no—
800D4×C37—81no—
801D4×C37—81no—
802D4×C37—81no—
803D4×C37H(5,𝔽2)12yes—
804D4×C37H(5,𝔽2)12yes—
805C2×C4×C37—21no—
806C2×C4×C37—21no—
807C2×C4×C37—21no—
808C2×C4×C37—21no—
809C2×C4×C37—21no—
810C2×C4×C37—21no—
811C2×C4×C37—21no—
812C2×C4×C37—21no—
813C2×C4×C37—21no—
814C2×C4×C37—21no—
815C2×C4×C37—21no—
816C2×C4×C37—21no—
817C2×C4×C37—21no—
818C2×C4×C37—21no—
819C2×C4×C37—21no—
820C2×C4×C37—21no—
821C2×C4×C37—21no—
822C2×C4×C37—21no—
823C2×C4×C37—21no—
824C2×C4×C37—21no—
825C2×C4×C37—21no—
826C2×C4×C37—21no—
827C2×C4×C37—41no—
828C2×C4×C37—41no—
829C2×C4×C37—41no—
830C2×C4×C37—42no—
831C2×C4×C37—42no—
832C2×C4×C37—42no—
833C2×C4×C37—42no—
834C2×C4×C37—42no—
835C2×C4×C37—42no—
836C2×C4×C37—42no—
837C2×C4×C37—42no—
838C2×C4×C37—81no—
839C2×C4×C37—81no—
840C2×C4×C37—81no—
841C2×C4×C37—81no—
842C2×C4×C37—81no—
843C2×C4×C37—81no—
844C2×C4×C37—81no—
845C2×C4×C37—81no—
846C2×C4×C37—81no—
847C2×C4×C37—81no—
848C2×C4×C37—81no—
849C2×C4×C37C22×D411yescharacteristic
850C2×C4×C37C22×D411yescharacteristic
851C2×C4×C37C22×D411yescharacteristic
852C2×C4×C37C22×D411yescharacteristic
853C2×C4×C37C22×D411yescharacteristic
854C2×C4×C37C22×D411yescharacteristic
855C2×C4×C37C22×D411yescharacteristic
856C2×C4×C37C22×D411yescharacteristic
857C2×C4×C37C22×D411yescharacteristic
858C2×C4×C37C2511yescharacteristic
859C8×C37—21no—
860C8×C37—21no—
861C8×C37—21no—
862C8×C37—21no—
863C8×C37—21no—
864C8×C37—21no—
865C8×C37—21no—
866C8×C37—21no—
867#61613C3711yesmaximal, characteristic, direct product factor, Sylow
868C22×C37—21no—
869C22×C37—21no—
870C22×C37—21no—
871C22×C37—21no—
872C22×C37—21no—
873C22×C37—21no—
874C22×C37—21no—
875C22×C37—21no—
876C22×C37—21no—
877C22×C37—21no—
878C22×C37—21no—
879C22×C37—21no—
880C22×C37—21no—
881C22×C37—21no—
882C22×C37—21no—
883C22×C37—22no—
884C22×C37—22no—
885C22×C37—41no—
886C22×C37—41no—
887C22×C37—41no—
888C22×C37—41no—
889C22×C37—41no—
890C22×C37—41no—
891C22×C37—41no—
892C22×C37—41no—
893C22×C37—41no—
894C22×C37—41no—
895C22×C37—84no—
896C22×C37—82no—
897C22×C37—162no—
898C22×C37—162no—
899C22×C37C23×D411yescharacteristic
900C4×C37—21no—
901C4×C37—21no—
902C4×C37—21no—
903C4×C37—21no—
904C4×C37—21no—
905C4×C37—21no—
906C4×C37—21no—
907C4×C37—21no—
908C4×C37—21no—
909C4×C37—41no—
910C4×C37—41no—
911C4×C37—41no—
912C4×C37—41no—
913C4×C37—41no—
914C4×C37—41no—
915C4×C37—41no—
916C4×C37—41no—
917C4×C37—41no—
918C4×C37—41no—
919C4×C37—41no—
920C4×C37—41no—
921C4×C37C2×H(5,𝔽2)11yescharacteristic
922C4×C37C2×H(5,𝔽2)11yescharacteristic
923#3541C2×C3711yescharacteristic, complemented
924#3485C2×C3711yescharacteristic, complemented
925#3331C2×C3711yescharacteristic, complemented
926#3322C2×C3711yescharacteristic, complemented
927#3315C2×C3711yescharacteristic, complemented
928#3314C2×C3711yescharacteristic, complemented
929#3311C2×C3711yescharacteristic, complemented
930#3307C2×C3711yescharacteristic, complemented
931#3302C2×C3711yescharacteristic, complemented
932#3296C2×C3711yescharacteristic, complemented
933#3283C2×C3711yescharacteristic, complemented
934#3282C2×C3711yescharacteristic, complemented
935#3276C2×C3711yescharacteristic, complemented
936#3275C2×C3711yescharacteristic, complemented
937#3269C2×C3711yescharacteristic, complemented
938#3269C2×C3711yescharacteristic, complemented
939#3267C2×C3711yescharacteristic, complemented
940#3266C2×C3711yescharacteristic, complemented
941#3225C2×C3711yescharacteristic, complemented
942#3223C2×C3711yescharacteristic, complemented
943#3202C2×C3711yescharacteristic, complemented
944#3201C2×C3711yescharacteristic, complemented
945#3197C2×C3711yescharacteristic, complemented
946#3190C2×C3711yescharacteristic, complemented
947#3123C2×C3711yescharacteristic, complemented
948#3118C2×C3711yescharacteristic, complemented
949#3012C2×C3711yescharacteristic, complemented
950#3009C2×C3711yescharacteristic, complemented
951#3007C2×C3711yescharacteristic, complemented
952#3002C2×C3711yescharacteristic, complemented
953#2976C2×C3711yescharacteristic, complemented
954C2×C37—41no—
955C2×C37—41no—
956C2×C37—41no—
957C2×C37—41no—
958C2×C37—41no—
959C2×C37—42no—
960C2×C37—42no—
961C2×C37—81no—
962C2×C37—81no—
963C2×C37#348411yescharacteristic
964C2×C37#358411yescharacteristic
965C2×C37#358611yescharacteristic
966C2×H(5,𝔽2)C22×C3711yescharacteristic
967C22×#41C22×C3711yescharacteristic
968C2×#137C22×C3711yescharacteristic, complemented
969C2×#137C22×C3711yescharacteristic, complemented
970C2×#137C22×C3711yescharacteristic, complemented
971C2×AGL(1,ℤ/8)C22×C3711yescharacteristic, complemented
972C2×#135C22×C3711yescharacteristic, complemented
973C2×#135C22×C3711yescharacteristic, complemented
974C2×#135C22×C3711yescharacteristic, complemented
975C22×SD16C22×C3711yescharacteristic, complemented
976#563—21no—
977#562—21no—
978#556C22×C3711yescharacteristic, complemented
979#554—21no—
980#554C22×C3711yescharacteristic, complemented
981#553—21no—
982#553C22×C3711yescharacteristic, complemented
983#552C22×C3711yescharacteristic, complemented
984D4×Q8C22×C3711yescharacteristic, complemented
985#548C22×C3711yescharacteristic, complemented
986#548C22×C3711yescharacteristic, complemented
987#547—21no—
988#547—21no—
989#547C22×C3711yescharacteristic
990#547C22×C3711yescharacteristic
991#547C22×C3711yescharacteristic
992#547C22×C3711yescharacteristic
993#547C22×C3711yescharacteristic, complemented
994#546—21no—
995#546—21no—
996#546C22×C3711yescharacteristic
997#546C22×C3711yescharacteristic
998#546C22×C3711yescharacteristic
999#546C22×C3711yescharacteristic
1000#542—21no—
1001#542C22×C3711yescharacteristic, complemented
1002#541C22×C3711yescharacteristic, complemented
1003#539—21no—
1004#538—21no—
1005#538—21no—
1006#537C22×C3711yescharacteristic
1007#536C22×C3711yescharacteristic
1008#536C22×C3711yescharacteristic
1009#536C22×C3711yescharacteristic
1010#534—21no—
1011#534—21no—
1012#525C22×C3711yescharacteristic
1013#525C22×C3711yescharacteristic
1014#525C22×C3711yescharacteristic, complemented
1015C2×#123—21no—
1016C2×#123—21no—
1017C2×C22⋊Q8C22×C3711yescharacteristic, complemented
1018#518C22×C3711yescharacteristic
1019#497C22×C3711yescharacteristic, complemented
1020#497C22×C3711yescharacteristic, complemented
1021#495C22×C3711yescharacteristic, complemented
1022#494C22×C3711yescharacteristic, complemented
1023#491C22×C3711yescharacteristic, complemented
1024#489C22×C3711yescharacteristic, complemented
1025#488C22×C3711yescharacteristic, complemented
1026#487C22×C3711yescharacteristic, complemented
1027#485C22×C3711yescharacteristic, complemented
1028#485C22×C3711yescharacteristic, complemented
1029#485C22×C3711yescharacteristic, complemented
1030#485C22×C3711yescharacteristic, complemented
1031#485C22×C3711yescharacteristic, complemented
1032#485C22×C3711yescharacteristic, complemented
1033#484C22×C3711yescharacteristic, complemented
1034#483C22×C3711yescharacteristic, complemented
1035#483C22×C3711yescharacteristic, complemented
1036#482C22×C3711yescharacteristic, complemented
1037#482C22×C3711yescharacteristic, complemented
1038#480C22×C3711yescharacteristic, complemented
1039#478C22×C3711yescharacteristic, complemented
1040#478C22×C3711yescharacteristic, complemented
1041#476C22×C3711yescharacteristic, complemented
1042#474C22×C3711yescharacteristic, complemented
1043#470C22×C3711yescharacteristic, complemented
1044#470C22×C3711yescharacteristic, complemented
1045#470C22×C3711yescharacteristic, complemented
1046#470C22×C3711yescharacteristic, complemented
1047#469C22×C3711yescharacteristic, complemented
1048#468C22×C3711yescharacteristic, complemented
1049#468C22×C3711yescharacteristic, complemented
1050#468C22×C3711yescharacteristic, complemented
1051#467C22×C3711yescharacteristic, complemented
1052#467C22×C3711yescharacteristic, complemented
1053#467C22×C3711yescharacteristic, complemented
1054#467C22×C3711yescharacteristic, complemented
1055#467C22×C3711yescharacteristic, complemented
1056#465C22×C3711yescharacteristic, complemented
1057#465C22×C3711yescharacteristic, complemented
1058#465C22×C3711yescharacteristic, complemented
1059#464C22×C3711yescharacteristic, complemented
1060#464C22×C3711yescharacteristic, complemented
1061#464C22×C3711yescharacteristic, complemented
1062#463C22×C3711yescharacteristic, complemented
1063#463C22×C3711yescharacteristic, complemented
1064#463C22×C3711yescharacteristic, complemented
1065#462C22×C3711yescharacteristic, complemented
1066#462C22×C3711yescharacteristic, complemented
1067#462C22×C3711yescharacteristic, complemented
1068#461C22×C3711yescharacteristic, complemented
1069#461C22×C3711yescharacteristic, complemented
1070#461C22×C3711yescharacteristic, complemented
1071#452C22×C3711yescharacteristic
1072#452C22×C3711yescharacteristic
1073#452C22×C3711yescharacteristic
1074#452C22×C3711yescharacteristic, complemented
1075#452C22×C3711yescharacteristic, complemented
1076#452C22×C3711yescharacteristic, complemented
1077#452C22×C3711yescharacteristic, complemented
1078#452C22×C3711yescharacteristic, complemented
1079#452C22×C3711yescharacteristic, complemented
1080#452C22×C3711yescharacteristic, complemented
1081#452C22×C3711yescharacteristic, complemented
1082#452C22×C3711yescharacteristic, complemented
1083#452C22×C3711yescharacteristic, complemented
1084#452C22×C3711yescharacteristic, complemented
1085#452C22×C3711yescharacteristic, complemented
1086#451C22×C3711yescharacteristic, complemented
1087#451C22×C3711yescharacteristic, complemented
1088#451C22×C3711yescharacteristic, complemented
1089#451C22×C3711yescharacteristic, complemented
1090#451C22×C3711yescharacteristic, complemented
1091#451C22×C3711yescharacteristic, complemented
1092#450C22×C3711yescharacteristic
1093#450C22×C3711yescharacteristic
1094#450C22×C3711yescharacteristic
1095#450C22×C3711yescharacteristic, complemented
1096#450C22×C3711yescharacteristic, complemented
1097#450C22×C3711yescharacteristic, complemented
1098#449C22×C3711yescharacteristic
1099#449C22×C3711yescharacteristic, complemented
1100#449C22×C3711yescharacteristic, complemented
1101#449C22×C3711yescharacteristic, complemented
1102#449C22×C3711yescharacteristic, complemented
1103#448C22×C3711yescharacteristic, complemented
1104#448C22×C3711yescharacteristic, complemented
1105#447C22×C3711yescharacteristic
1106#447C22×C3711yescharacteristic, complemented
1107#442C22×C3711yescharacteristic, complemented
1108#440C22×C3711yescharacteristic, complemented
1109#440C22×C3711yescharacteristic, complemented
1110#440C22×C3711yescharacteristic, complemented
1111C4×SD16C22×C3711yescharacteristic, complemented
1112C4×SD16C22×C3711yescharacteristic, complemented
1113C4×SD16C22×C3711yescharacteristic, complemented
1114C4×D8C22×C3711yescharacteristic, complemented
1115#436C22×C3711yescharacteristic, complemented
1116#436C22×C3711yescharacteristic, complemented
1117#435C22×C3711yescharacteristic, complemented
1118#435C22×C3711yescharacteristic, complemented
1119#435C22×C3711yescharacteristic, complemented
1120#435C22×C3711yescharacteristic, complemented
1121C8×D4C22×C3711yescharacteristic, complemented
1122C8×D4C22×C3711yescharacteristic, complemented
1123#433C22×C3711yescharacteristic, complemented
1124#433C22×C3711yescharacteristic, complemented
1125#418C22×C3711yescharacteristic, complemented
1126#417C22×C3711yescharacteristic, complemented
1127#417C22×C3711yescharacteristic, complemented
1128#417C22×C3711yescharacteristic, complemented
1129#416C22×C3711yescharacteristic, complemented
1130#416C22×C3711yescharacteristic, complemented
1131#416C22×C3711yescharacteristic, complemented
1132C2×#102C22×C3711yescharacteristic, complemented
1133#408C22×C3711yescharacteristic
1134#408C22×C3711yescharacteristic
1135#407C22×C3711yescharacteristic, complemented
1136C2×C22⋊C8C22×C3711yescharacteristic, complemented
1137C37#6161311yescharacteristic, direct product factor, Sylow
1138H(5,𝔽2)—42no—
1139H(5,𝔽2)—42no—
1140C2×#41—21no—
1141C2×#41—21no—
1142C2×#41—21no—
1143C2×#41—42no—
1144C2×#41—42no—
1145C2×#41C23×C3711yescharacteristic
1146C2×#41C23×C3711yescharacteristic
1147C2×#41C23×C3711yescharacteristic
1148C2×#41C23×C3711yescharacteristic
1149C2×#41C23×C3711yescharacteristic
1150C2×#41C23×C3711yescharacteristic
1151C2×#41C23×C3711yescharacteristic
1152C2×#41C23×C3711yescharacteristic
1153C2×#41C23×C3711yescharacteristic
1154C2×#41C23×C3711yescharacteristic
1155C22×Q8C23×C3711yescharacteristic
1156C22×Q8C23×C3711yescharacteristic
1157C22×Q8C23×C3711yescharacteristic
1158C22×D4—21no—
1159C22×D4—21no—
1160C22×D4—21no—
1161C22×D4—21no—
1162C22×D4C23×C3711yescharacteristic
1163C22×D4C23×C3711yescharacteristic
1164C22×D4C23×C3711yescharacteristic
1165C23×C4—21no—
1166C23×C4C23×C3711yescharacteristic
1167#137—42no—
1168#137—42no—
1169#137—42no—
1170AGL(1,ℤ/8)—42no—
1171#135—42no—
1172#135—42no—
1173#135—42no—
1174C2×Q16C23×C3711yescharacteristic
1175C2×Q16C23×C3711yescharacteristic
1176C2×Q16C23×C3711yescharacteristic
1177C2×Q16C23×C3711yescharacteristic
1178C2×Q16C23×C3711yescharacteristic
1179C2×Q16C23×C3711yescharacteristic
1180C2×Q16C23×C3711yescharacteristic
1181C2×Q16C23×C3711yescharacteristic
1182C2×Q16C23×C3711yescharacteristic
1183C2×SD16—42no—
1184C2×SD16C23×C3711yescharacteristic
1185C2×SD16C23×C3711yescharacteristic
1186C2×SD16C23×C3711yescharacteristic
1187C2×SD16C23×C3711yescharacteristic
1188C2×SD16C23×C3711yescharacteristic
1189C2×SD16C23×C3711yescharacteristic
1190C2×SD16C23×C3711yescharacteristic
1191C2×SD16C23×C3711yescharacteristic
1192C2×SD16C23×C3711yescharacteristic
1193C2×SD16C23×C3711yescharacteristic
1194C2×SD16C23×C3711yescharacteristic
1195C2×SD16C23×C3711yescharacteristic
1196C2×D8C23×C3711yescharacteristic
1197C2×D8C23×C3711yescharacteristic
1198C2×D8C23×C3711yescharacteristic
1199C2×M16C23×C3711yescharacteristic
1200C2×M16C23×C3711yescharacteristic
1201C2×M16C23×C3711yescharacteristic
1202C2×M16C23×C3711yescharacteristic
1203C22×C8C23×C3711yescharacteristic
1204C22×C8C23×C3711yescharacteristic
1205C22×C8C23×C3711yescharacteristic
1206C22×C8C23×C3711yescharacteristic
1207C4⋊Q8—21no—
1208C4⋊Q8—21no—
1209C4⋊Q8—21no—
1210C4⋊Q8C23×C3711yescharacteristic
1211C4⋊Q8C23×C3711yescharacteristic
1212C4⋊Q8C23×C3711yescharacteristic
1213C4⋊Q8C23×C3711yescharacteristic
1214#126—21no—
1215#126—21no—
1216#126—21no—
1217#126—21no—
1218#126—21no—
1219#126—21no—
1220#126—21no—
1221#125—21no—
1222#125—21no—
1223#125—21no—
1224#125—21no—
1225#125C23×C3711yescharacteristic
1226#124—21no—
1227#124—21no—
1228#124—21no—
1229#124—21no—
1230#124—21no—
1231#124—21no—
1232#124C23×C3711yescharacteristic
1233#124C23×C3711yescharacteristic
1234#124C23×C3711yescharacteristic
1235#123—21no—
1236#123—21no—
1237#123—21no—
1238#123—21no—
1239#123—21no—
1240#123—21no—
1241#123—21no—
1242#123—21no—
1243#123—21no—
1244#123—21no—
1245#123—21no—
1246#123—21no—
1247#123—21no—
1248#123—21no—
1249#123—21no—
1250#123—21no—
1251#123—21no—
1252#123—21no—
1253#123—21no—
1254#123—21no—
1255#123—21no—
1256#123—21no—
1257#123—21no—
1258#123—21no—
1259#123—21no—
1260#123D4×C3711yescharacteristic
1261#123D4×C3711yescharacteristic
1262C22⋊Q8—21no—
1263C22⋊Q8—21no—
1264C22⋊Q8—21no—
1265C22⋊Q8—21no—
1266C22⋊Q8—21no—
1267C22⋊Q8—21no—
1268C22⋊Q8—21no—
1269C22⋊Q8—21no—
1270C22⋊Q8—21no—
1271C22⋊Q8—21no—
1272C22⋊Q8—21no—
1273C22⋊Q8—21no—
1274C22⋊Q8D4×C3711yescharacteristic
1275C22⋊Q8D4×C3711yescharacteristic
1276C22⋊Q8C23×C3711yescharacteristic
1277C22⋊Q8C23×C3711yescharacteristic
1278C22⋊Q8C23×C3711yescharacteristic
1279C22⋊Q8C23×C3711yescharacteristic
1280C22⋊Q8C23×C3711yescharacteristic
1281C22⋊Q8C23×C3711yescharacteristic
1282C22⋊Q8C23×C3711yescharacteristic
1283C22⋊Q8C23×C3711yescharacteristic
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#121D4×C3711yescharacteristic
1307#121D4×C3711yescharacteristic
1308#121C23×C3711yescharacteristic
1309#121C23×C3711yescharacteristic
1310#121C23×C3711yescharacteristic
1311#121C23×C3711yescharacteristic
1312#121C23×C3711yescharacteristic
1313#120—21no—
1314#120—21no—
1315#120—21no—
1316#120—21no—
1317#120—21no—
1318#120—21no—
1319#120D4×C3711yescharacteristic
1320#120D4×C3711yescharacteristic
1321C4×Q8—21no—
1322C4×Q8C23×C3711yescharacteristic
1323C4×Q8C23×C3711yescharacteristic
1324C4×Q8C23×C3711yescharacteristic
1325C4×D4—21no—
1326C4×D4—21no—
1327C4×D4—21no—
1328C4×D4—21no—
1329C4×D4—21no—
1330C4×D4—21no—
1331C4×D4—21no—
1332C4×D4—21no—
1333C4×D4—21no—
1334C4×D4—21no—
1335C4×D4—21no—
1336C4×D4C23×C3711yescharacteristic
1337C4×D4C23×C3711yescharacteristic
1338C4×D4C23×C3711yescharacteristic
1339C4×D4C23×C3711yescharacteristic
1340C4×D4C23×C3711yescharacteristic
1341C4×D4C23×C3711yescharacteristic
1342C4×D4C23×C3711yescharacteristic
1343C4×D4C23×C3711yescharacteristic
1344C4×D4C23×C3711yescharacteristic
1345#117—21no—
1346#117C23×C3711yescharacteristic
1347#117C23×C3711yescharacteristic
1348#117C23×C3711yescharacteristic
1349#117C23×C3711yescharacteristic
1350C2×C4⋊C4—21no—
1351C2×C4⋊C4—21no—
1352C2×C4⋊C4—21no—
1353C2×C4⋊C4—21no—
1354C2×C4⋊C4—21no—
1355C2×C4⋊C4—21no—
1356C2×C4⋊C4C23×C3711yescharacteristic
1357C2×C4⋊C4C23×C3711yescharacteristic
1358C2×C22⋊C4—21no—
1359C2×C22⋊C4—21no—
1360C2×C22⋊C4—21no—
1361C2×C22⋊C4—21no—
1362C2×C22⋊C4—21no—
1363C2×C22⋊C4—21no—
1364C2×C22⋊C4—21no—
1365#107C23×C3711yescharacteristic
1366#107C23×C3711yescharacteristic
1367#107C23×C3711yescharacteristic
1368#107C23×C3711yescharacteristic
1369#106C23×C3711yescharacteristic
1370#106C23×C3711yescharacteristic
1371#106C23×C3711yescharacteristic
1372#106C23×C3711yescharacteristic
1373C4⋊C8C23×C3711yescharacteristic
1374C4⋊C8C23×C3711yescharacteristic
1375C4⋊C8C23×C3711yescharacteristic
1376C4⋊C8C23×C3711yescharacteristic
1377#103C23×C3711yescharacteristic
1378#103C23×C3711yescharacteristic
1379#103C23×C3711yescharacteristic
1380#103C23×C3711yescharacteristic
1381#103C23×C3711yescharacteristic
1382#103C23×C3711yescharacteristic
1383#103C23×C3711yescharacteristic
1384#103C23×C3711yescharacteristic
1385#103C23×C3711yescharacteristic
1386#103C23×C3711yescharacteristic
1387#103C23×C3711yescharacteristic
1388#103C23×C3711yescharacteristic
1389#103C23×C3711yescharacteristic
1390#103C23×C3711yescharacteristic
1391#103C23×C3711yescharacteristic
1392#103C23×C3711yescharacteristic
1393#103C23×C3711yescharacteristic
1394#103C23×C3711yescharacteristic
1395#102C23×C3711yescharacteristic
1396#102C23×C3711yescharacteristic
1397#102C23×C3711yescharacteristic
1398#102C23×C3711yescharacteristic
1399#102C23×C3711yescharacteristic
1400#102C23×C3711yescharacteristic
1401#102C23×C3711yescharacteristic
1402#102C23×C3711yescharacteristic
1403#102C23×C3711yescharacteristic
1404#102C23×C3711yescharacteristic
1405#102C23×C3711yescharacteristic
1406#102C23×C3711yescharacteristic
1407#102C23×C3711yescharacteristic
1408#102C23×C3711yescharacteristic
1409C22⋊C8C23×C3711yescharacteristic
1410C22⋊C8C23×C3711yescharacteristic
1411C22⋊C8C23×C3711yescharacteristic
1412C22⋊C8C23×C3711yescharacteristic
1413C22⋊C8C23×C3711yescharacteristic
1414C22⋊C8C23×C3711yescharacteristic
1415C22⋊C8C23×C3711yescharacteristic
1416C22⋊C8C23×C3711yescharacteristic
1417C22⋊C8C23×C3711yescharacteristic
1418C22⋊C8C23×C3711yescharacteristic
1419C22⋊C8C23×C3711yescharacteristic
1420C22⋊C8C23×C3711yescharacteristic
1421#97C23×C3711yescharacteristic
1422#97C23×C3711yescharacteristic
1423C4×C8C23×C3711yescharacteristic
1424C4×C8C23×C3711yescharacteristic
1425C24—21no—
1426C24—21no—
1427C24—21no—
1428C24C2×D4×C3711yescharacteristic
1429#41—22no—
1430#41—22no—
1431#41—22no—
1432#41—22no—
1433#41—22no—
1434#41—22no—
1435#41—41no—
1436#41—41no—
1437#41—41no—
1438#41—41no—
1439#41—41no—
1440#41—41no—
1441#41—41no—
1442#41—41no—
1443#41—41no—
1444#41—41no—
1445#41—41no—
1446#41—41no—
1447#41—41no—
1448#41—41no—
1449#41—44no—
1450#41—44no—
1451#41—44no—
1452C2×Q8—21no—
1453C2×Q8—21no—
1454C2×Q8—21no—
1455C2×Q8—21no—
1456C2×Q8—41no—
1457C2×Q8—41no—
1458C2×Q8—41no—
1459C2×Q8—41no—
1460C2×Q8—41no—
1461C2×Q8—41no—
1462C2×Q8C2×D4×C3711yescharacteristic
1463C2×Q8C24×C3711yescharacteristic
1464C2×Q8C24×C3711yescharacteristic
1465C2×Q8C24×C3711yescharacteristic
1466C2×Q8C24×C3711yescharacteristic
1467C2×Q8C24×C3711yescharacteristic
1468C2×Q8C24×C3711yescharacteristic
1469C2×D4—22no—
1470C2×D4—22no—
1471C2×D4—22no—
1472C2×D4—22no—
1473C2×D4—21no—
1474C2×D4—21no—
1475C2×D4—21no—
1476C2×D4—21no—
1477C2×D4—21no—
1478C2×D4—21no—
1479C2×D4—21no—
1480C2×D4—21no—
1481C2×D4—21no—
1482C2×D4—21no—
1483C2×D4—21no—
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—21no—
1489C2×D4—21no—
1490C2×D4—41no—
1491C2×D4—41no—
1492C2×D4—44no—
1493C2×D4—44no—
1494C2×D4—44no—
1495C2×D4—44no—
1496C2×D4C2×D4×C3711yescharacteristic
1497C2×D4C2×D4×C3711yescharacteristic
1498C2×D4C2×D4×C3711yescharacteristic
1499C2×D4C2×D4×C3711yescharacteristic
1500C2×D4C2×D4×C3711yescharacteristic
1501C2×D4C2×D4×C3711yescharacteristic
1502C2×D4C2×D4×C3711yescharacteristic
1503C2×D4C24×C3711yescharacteristic
1504C2×D4C24×C3711yescharacteristic
1505C2×D4C24×C3711yescharacteristic
1506C2×D4C24×C3711yescharacteristic
1507C22×C4—21no—
1508C22×C4—21no—
1509C22×C4—21no—
1510C22×C4—21no—
1511C22×C4—21no—
1512C22×C4—21no—
1513C22×C4—21no—
1514C22×C4—21no—
1515C22×C4—21no—
1516C22×C4—21no—
1517C22×C4—21no—
1518C22×C4—21no—
1519C22×C4—21no—
1520C22×C4—21no—
1521C22×C4—21no—
1522C22×C4—21no—
1523C22×C4—21no—
1524C22×C4—21no—
1525C22×C4—21no—
1526C22×C4—41no—
1527C22×C4—41no—
1528C22×C4—44no—
1529C22×C4C2×D4×C3711yescharacteristic
1530C22×C4C2×D4×C3711yescharacteristic
1531C22×C4C2×D4×C3711yescharacteristic
1532C22×C4C24×C3711yescharacteristic
1533C22×C4C24×C3711yescharacteristic
1534C22×C4C24×C3711yescharacteristic
1535C22×C4C24×C3711yescharacteristic
1536C22×C4C24×C3711yescharacteristic
1537Q16—41no—
1538Q16—41no—
1539Q16—41no—
1540Q16—41no—
1541Q16—41no—
1542Q16—41no—
1543Q16—41no—
1544Q16—41no—
1545Q16—41no—
1546SD16—22no—
1547SD16—22no—
1548SD16—22no—
1549SD16—22no—
1550SD16—22no—
1551SD16—22no—
1552SD16—41no—
1553SD16—41no—
1554SD16—41no—
1555SD16—41no—
1556SD16—41no—
1557SD16—41no—
1558D8—22no—
1559D8—22no—
1560D8—41no—
1561M16—41no—
1562M16—41no—
1563M16—41no—
1564M16—41no—
1565C2×C8—41no—
1566C2×C8—41no—
1567C2×C8—41no—
1568C2×C8—41no—
1569C2×C8C24×C3711yescharacteristic
1570C2×C8C24×C3711yescharacteristic
1571C2×C8C24×C3711yescharacteristic
1572C2×C8C24×C3711yescharacteristic
1573C2×C8C24×C3711yescharacteristic
1574C2×C8C24×C3711yescharacteristic
1575C2×C8C24×C3711yescharacteristic
1576C2×C8C24×C3711yescharacteristic
1577C4⋊C4—21no—
1578C4⋊C4—21no—
1579C4⋊C4—21no—
1580C4⋊C4—21no—
1581C4⋊C4—21no—
1582C4⋊C4—21no—
1583C4⋊C4—21no—
1584C4⋊C4—21no—
1585C4⋊C4—21no—
1586C4⋊C4—21no—
1587C4⋊C4—21no—
1588C4⋊C4—21no—
1589C4⋊C4—21no—
1590C4⋊C4—21no—
1591C4⋊C4—21no—
1592C4⋊C4—21no—
1593C4⋊C4—21no—
1594C4⋊C4—21no—
1595C4⋊C4—21no—
1596C4⋊C4—21no—
1597C4⋊C4—21no—
1598C4⋊C4—21no—
1599C4⋊C4—21no—
1600C4⋊C4—21no—
1601C4⋊C4—21no—
1602C4⋊C4—21no—
1603C4⋊C4—21no—
1604C4⋊C4—21no—
1605C4⋊C4—21no—
1606C4⋊C4C2×D4×C3711yescharacteristic
1607C4⋊C4C2×D4×C3711yescharacteristic
1608C4⋊C4C2×D4×C3711yescharacteristic
1609C4⋊C4C2×D4×C3711yescharacteristic
1610C4⋊C4C2×D4×C3711yescharacteristic
1611C4⋊C4C2×D4×C3711yescharacteristic
1612C4⋊C4C24×C3711yescharacteristic
1613C4⋊C4C24×C3711yescharacteristic
1614C4⋊C4C24×C3711yescharacteristic
1615C4⋊C4C24×C3711yescharacteristic
1616C4⋊C4C24×C3711yescharacteristic
1617C4⋊C4C24×C3711yescharacteristic
1618C22⋊C4—21no—
1619C22⋊C4—21no—
1620C22⋊C4—21no—
1621C22⋊C4—21no—
1622C22⋊C4—21no—
1623C22⋊C4—21no—
1624C22⋊C4—21no—
1625C22⋊C4—21no—
1626C22⋊C4—21no—
1627C22⋊C4—21no—
1628C22⋊C4—21no—
1629C22⋊C4—21no—
1630C22⋊C4—21no—
1631C22⋊C4—21no—
1632C22⋊C4—21no—
1633C22⋊C4—21no—
1634C22⋊C4—21no—
1635C22⋊C4—21no—
1636C22⋊C4—21no—
1637C22⋊C4—21no—
1638C22⋊C4—21no—
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—21no—
1643C22⋊C4—21no—
1644C22⋊C4—21no—
1645C22⋊C4—21no—
1646C22⋊C4—21no—
1647C22⋊C4—21no—
1648C22⋊C4—21no—
1649C22⋊C4—21no—
1650C22⋊C4—21no—
1651C22⋊C4—21no—
1652C22⋊C4C2×D4×C3711yescharacteristic
1653C22⋊C4C2×D4×C3711yescharacteristic
1654C22⋊C4C2×D4×C3711yescharacteristic
1655C22⋊C4C2×D4×C3711yescharacteristic
1656C22⋊C4C2×D4×C3711yescharacteristic
1657C22⋊C4C2×D4×C3711yescharacteristic
1658C22⋊C4C2×D4×C3711yescharacteristic
1659C22⋊C4C2×D4×C3711yescharacteristic
1660C22⋊C4C2×D4×C3711yescharacteristic
1661C22⋊C4C2×D4×C3711yescharacteristic
1662C42—21no—
1663C42—21no—
1664C42—21no—
1665C42—21no—
1666C42—21no—
1667C42—21no—
1668C42C24×C3711yescharacteristic
1669C42C24×C3711yescharacteristic
1670C23—24no—
1671C23—21no—
1672C23—21no—
1673C23—21no—
1674C23—21no—
1675C23—41no—
1676C23—41no—
1677C23—41no—
1678C23—42no—
1679C23—42no—
1680C23—81no—
1681C23—81no—
1682C23—81no—
1683C23—81no—
1684C23—81no—
1685C23—81no—
1686C23C22×D4×C3711yescharacteristic
1687C23C22×D4×C3711yescharacteristic
1688C23C22×D4×C3711yescharacteristic
1689C23C22×D4×C3711yescharacteristic
1690C23C22×D4×C3711yescharacteristic
1691Q8—21no—
1692Q8—21no—
1693Q8—21no—
1694Q8—21no—
1695Q8—21no—
1696Q8—21no—
1697Q8—21no—
1698Q8—21no—
1699Q8—21no—
1700Q8—21no—
1701Q8—21no—
1702Q8—21no—
1703Q8—41no—
1704Q8—42no—
1705Q8—81no—
1706Q8—81no—
1707Q8—81no—
1708D4—24no—
1709D4—21no—
1710D4—21no—
1711D4—21no—
1712D4—21no—
1713D4—21no—
1714D4—21no—
1715D4—41no—
1716D4—41no—
1717D4—41no—
1718D4—41no—
1719D4—41no—
1720D4—41no—
1721D4—41no—
1722D4—42no—
1723D4—42no—
1724D4—42no—
1725D4—42no—
1726D4—42no—
1727D4—42no—
1728D4—42no—
1729D4—42no—
1730D4—42no—
1731D4—42no—
1732D4—81no—
1733D4—81no—
1734D4—81no—
1735D4—81no—
1736D4—81no—
1737D4—81no—
1738D4H(5,𝔽2)×C3712yes—
1739D4H(5,𝔽2)×C3712yes—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—41no—
1763C2×C4—41no—
1764C2×C4—41no—
1765C2×C4—42no—
1766C2×C4—42no—
1767C2×C4—42no—
1768C2×C4—42no—
1769C2×C4—42no—
1770C2×C4—42no—
1771C2×C4—42no—
1772C2×C4—42no—
1773C2×C4—81no—
1774C2×C4—81no—
1775C2×C4—81no—
1776C2×C4—81no—
1777C2×C4—81no—
1778C2×C4—81no—
1779C2×C4—81no—
1780C2×C4—81no—
1781C2×C4—81no—
1782C2×C4—81no—
1783C2×C4—81no—
1784C2×C4C22×D4×C3711yescharacteristic
1785C2×C4C22×D4×C3711yescharacteristic
1786C2×C4C22×D4×C3711yescharacteristic
1787C2×C4C22×D4×C3711yescharacteristic
1788C2×C4C22×D4×C3711yescharacteristic
1789C2×C4C22×D4×C3711yescharacteristic
1790C2×C4C22×D4×C3711yescharacteristic
1791C2×C4C22×D4×C3711yescharacteristic
1792C2×C4C22×D4×C3711yescharacteristic
1793C2×C4C25×C3711yescharacteristic
1794C8—21no—
1795C8—21no—
1796C8—21no—
1797C8—21no—
1798C8—21no—
1799C8—21no—
1800C8—21no—
1801C8—21no—
1802C22—21no—
1803C22—21no—
1804C22—21no—
1805C22—21no—
1806C22—21no—
1807C22—22no—
1808C22—22no—
1809C22—21no—
1810C22—21no—
1811C22—21no—
1812C22—21no—
1813C22—21no—
1814C22—21no—
1815C22—21no—
1816C22—21no—
1817C22—21no—
1818C22—21no—
1819C22—41no—
1820C22—41no—
1821C22—41no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—84no—
1830C22—82no—
1831C22—162no—
1832C22—162no—
1833C22C23×D4×C3711yescharacteristic
1834C4—21no—
1835C4—21no—
1836C4—21no—
1837C4—21no—
1838C4—21no—
1839C4—21no—
1840C4—21no—
1841C4—21no—
1842C4—21no—
1843C4—41no—
1844C4—41no—
1845C4—41no—
1846C4—41no—
1847C4—41no—
1848C4—41no—
1849C4—41no—
1850C4—41no—
1851C4—41no—
1852C4—41no—
1853C4—41no—
1854C4—41no—
1855C4C2×H(5,𝔽2)×C3711yescharacteristic
1856C4C2×H(5,𝔽2)×C3711yescharacteristic
1857C2—41no—
1858C2—41no—
1859C2—41no—
1860C2—41no—
1861C2—41no—
1862C2—42no—
1863C2—42no—
1864C2—81no—
1865C2—81no—
1866C2C37×#348411yescharacteristic
1867C2C37×#358411yescharacteristic
1868C2C37×#358611yescharacteristic
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×#3541C2semidirect
2. C37×#3485C2semidirect
3. C37×#3331C2semidirect
4. C37×#3322C2semidirect
5. C37×#3315C2semidirect
6. C37×#3314C2semidirect
7. C37×#3311C2semidirect
8. C37×#3307C2semidirect
9. C37×#3302C2semidirect
10. C37×#3296C2semidirect
11. C37×#3283C2semidirect
12. C37×#3282C2semidirect
13. C37×#3276C2semidirect
14. C37×#3275C2semidirect
15. C37×#3269C2semidirect
16. C37×#3269C2semidirect
17. C37×#3267C2semidirect
18. C37×#3266C2semidirect
19. C37×#3225C2semidirect
20. C37×#3223C2semidirect
21. C37×#3202C2semidirect
22. C37×#3201C2semidirect
23. C37×#3197C2semidirect
24. C37×#3190C2semidirect
25. C37×#3123C2semidirect
26. C37×#3118C2semidirect
27. C37×#3012C2semidirect
28. C37×#3009C2semidirect
29. C37×#3007C2semidirect
30. C37×#3002C2semidirect
31. C37×#2976C2semidirect
34. C2×#137×C37C22semidirect
35. C2×#137×C37C22semidirect
36. C2×#137×C37C22semidirect
37. C2×AGL(1,ℤ/8)×C37C22semidirect
38. C2×#135×C37C22semidirect
39. C2×#135×C37C22semidirect
40. C2×#135×C37C22semidirect
41. C22×SD16×C37C22semidirect
44. C37×#556C22semidirect
46. C37×#554C22semidirect
48. C37×#553C22semidirect
49. C37×#552C22semidirect
50. D4×Q8×C37C22semidirect
51. C37×#548C22semidirect
52. C37×#548C22semidirect
59. C37×#547C22semidirect
67. C37×#542C22semidirect
68. C37×#541C22semidirect
80. C37×#525C22semidirect
83. C2×C22⋊Q8×C37C22semidirect
85. C37×#497C22semidirect
86. C37×#497C22semidirect
87. C37×#495C22semidirect
88. C37×#494C22semidirect
89. C37×#491C22semidirect
90. C37×#489C22semidirect
91. C37×#488C22semidirect
92. C37×#487C22semidirect
93. C37×#485C22semidirect
94. C37×#485C22semidirect
95. C37×#485C22semidirect
96. C37×#485C22semidirect
97. C37×#485C22semidirect
98. C37×#485C22semidirect
99. C37×#484C22semidirect
100. C37×#483C22semidirect
101. C37×#483C22semidirect
102. C37×#482C22semidirect
103. C37×#482C22semidirect
104. C37×#480C22semidirect
105. C37×#478C22semidirect
106. C37×#478C22semidirect
107. C37×#476C22semidirect
108. C37×#474C22semidirect
109. C37×#470C22semidirect
110. C37×#470C22semidirect
111. C37×#470C22semidirect
112. C37×#470C22semidirect
113. C37×#469C22semidirect
114. C37×#468C22semidirect
115. C37×#468C22semidirect
116. C37×#468C22semidirect
117. C37×#467C22semidirect
118. C37×#467C22semidirect
119. C37×#467C22semidirect
120. C37×#467C22semidirect
121. C37×#467C22semidirect
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×#462C22semidirect
132. C37×#462C22semidirect
133. C37×#462C22semidirect
134. C37×#461C22semidirect
135. C37×#461C22semidirect
136. C37×#461C22semidirect
140. C37×#452C22semidirect
141. C37×#452C22semidirect
142. C37×#452C22semidirect
143. C37×#452C22semidirect
144. C37×#452C22semidirect
145. C37×#452C22semidirect
146. C37×#452C22semidirect
147. C37×#452C22semidirect
148. C37×#452C22semidirect
149. C37×#452C22semidirect
150. C37×#452C22semidirect
151. C37×#452C22semidirect
152. C37×#451C22semidirect
153. C37×#451C22semidirect
154. C37×#451C22semidirect
155. C37×#451C22semidirect
156. C37×#451C22semidirect
157. C37×#451C22semidirect
161. C37×#450C22semidirect
162. C37×#450C22semidirect
163. C37×#450C22semidirect
165. C37×#449C22semidirect
166. C37×#449C22semidirect
167. C37×#449C22semidirect
168. C37×#449C22semidirect
169. C37×#448C22semidirect
170. C37×#448C22semidirect
172. C37×#447C22semidirect
173. C37×#442C22semidirect
174. C37×#440C22semidirect
175. C37×#440C22semidirect
176. C37×#440C22semidirect
177. C4×SD16×C37C22semidirect
178. C4×SD16×C37C22semidirect
179. C4×SD16×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×#417C22semidirect
193. C37×#417C22semidirect
194. C37×#417C22semidirect
195. C37×#416C22semidirect
196. C37×#416C22semidirect
197. C37×#416C22semidirect
198. C2×#102×C37C22semidirect
201. C37×#407C22semidirect
202. C2×C22⋊C8×C37C22semidirect
867. #61613C37direct (N × H)
923. #3541C2×C37semidirect
924. #3485C2×C37semidirect
925. #3331C2×C37semidirect
926. #3322C2×C37semidirect
927. #3315C2×C37semidirect
928. #3314C2×C37semidirect
929. #3311C2×C37semidirect
930. #3307C2×C37semidirect
931. #3302C2×C37semidirect
932. #3296C2×C37semidirect
933. #3283C2×C37semidirect
934. #3282C2×C37semidirect
935. #3276C2×C37semidirect
936. #3275C2×C37semidirect
937. #3269C2×C37semidirect
938. #3269C2×C37semidirect
939. #3267C2×C37semidirect
940. #3266C2×C37semidirect
941. #3225C2×C37semidirect
942. #3223C2×C37semidirect
943. #3202C2×C37semidirect
944. #3201C2×C37semidirect
945. #3197C2×C37semidirect
946. #3190C2×C37semidirect
947. #3123C2×C37semidirect
948. #3118C2×C37semidirect
949. #3012C2×C37semidirect
950. #3009C2×C37semidirect
951. #3007C2×C37semidirect
952. #3002C2×C37semidirect
953. #2976C2×C37semidirect
968. C2×#137C22×C37semidirect
969. C2×#137C22×C37semidirect
970. C2×#137C22×C37semidirect
971. C2×AGL(1,ℤ/8)C22×C37semidirect
972. C2×#135C22×C37semidirect
973. C2×#135C22×C37semidirect
974. C2×#135C22×C37semidirect
975. C22×SD16C22×C37semidirect
978. #556C22×C37semidirect
980. #554C22×C37semidirect
982. #553C22×C37semidirect
983. #552C22×C37semidirect
984. D4×Q8C22×C37semidirect
985. #548C22×C37semidirect
986. #548C22×C37semidirect
993. #547C22×C37semidirect
1001. #542C22×C37semidirect
1002. #541C22×C37semidirect
1014. #525C22×C37semidirect
1017. C2×C22⋊Q8C22×C37semidirect
1019. #497C22×C37semidirect
1020. #497C22×C37semidirect
1021. #495C22×C37semidirect
1022. #494C22×C37semidirect
1023. #491C22×C37semidirect
1024. #489C22×C37semidirect
1025. #488C22×C37semidirect
1026. #487C22×C37semidirect
1027. #485C22×C37semidirect
1028. #485C22×C37semidirect
1029. #485C22×C37semidirect
1030. #485C22×C37semidirect
1031. #485C22×C37semidirect
1032. #485C22×C37semidirect
1033. #484C22×C37semidirect
1034. #483C22×C37semidirect
1035. #483C22×C37semidirect
1036. #482C22×C37semidirect
1037. #482C22×C37semidirect
1038. #480C22×C37semidirect
1039. #478C22×C37semidirect
1040. #478C22×C37semidirect
1041. #476C22×C37semidirect
1042. #474C22×C37semidirect
1043. #470C22×C37semidirect
1044. #470C22×C37semidirect
1045. #470C22×C37semidirect
1046. #470C22×C37semidirect
1047. #469C22×C37semidirect
1048. #468C22×C37semidirect
1049. #468C22×C37semidirect
1050. #468C22×C37semidirect
1051. #467C22×C37semidirect
1052. #467C22×C37semidirect
1053. #467C22×C37semidirect
1054. #467C22×C37semidirect
1055. #467C22×C37semidirect
1056. #465C22×C37semidirect
1057. #465C22×C37semidirect
1058. #465C22×C37semidirect
1059. #464C22×C37semidirect
1060. #464C22×C37semidirect
1061. #464C22×C37semidirect
1062. #463C22×C37semidirect
1063. #463C22×C37semidirect
1064. #463C22×C37semidirect
1065. #462C22×C37semidirect
1066. #462C22×C37semidirect
1067. #462C22×C37semidirect
1068. #461C22×C37semidirect
1069. #461C22×C37semidirect
1070. #461C22×C37semidirect
1074. #452C22×C37semidirect
1075. #452C22×C37semidirect
1076. #452C22×C37semidirect
1077. #452C22×C37semidirect
1078. #452C22×C37semidirect
1079. #452C22×C37semidirect
1080. #452C22×C37semidirect
1081. #452C22×C37semidirect
1082. #452C22×C37semidirect
1083. #452C22×C37semidirect
1084. #452C22×C37semidirect
1085. #452C22×C37semidirect
1086. #451C22×C37semidirect
1087. #451C22×C37semidirect
1088. #451C22×C37semidirect
1089. #451C22×C37semidirect
1090. #451C22×C37semidirect
1091. #451C22×C37semidirect
1095. #450C22×C37semidirect
1096. #450C22×C37semidirect
1097. #450C22×C37semidirect
1099. #449C22×C37semidirect
1100. #449C22×C37semidirect
1101. #449C22×C37semidirect
1102. #449C22×C37semidirect
1103. #448C22×C37semidirect
1104. #448C22×C37semidirect
1106. #447C22×C37semidirect
1107. #442C22×C37semidirect
1108. #440C22×C37semidirect
1109. #440C22×C37semidirect
1110. #440C22×C37semidirect
1111. C4×SD16C22×C37semidirect
1112. C4×SD16C22×C37semidirect
1113. C4×SD16C22×C37semidirect
1114. C4×D8C22×C37semidirect
1115. #436C22×C37semidirect
1116. #436C22×C37semidirect
1117. #435C22×C37semidirect
1118. #435C22×C37semidirect
1119. #435C22×C37semidirect
1120. #435C22×C37semidirect
1121. C8×D4C22×C37semidirect
1122. C8×D4C22×C37semidirect
1123. #433C22×C37semidirect
1124. #433C22×C37semidirect
1125. #418C22×C37semidirect
1126. #417C22×C37semidirect
1127. #417C22×C37semidirect
1128. #417C22×C37semidirect
1129. #416C22×C37semidirect
1130. #416C22×C37semidirect
1131. #416C22×C37semidirect
1132. C2×#102C22×C37semidirect
1135. #407C22×C37semidirect
1136. C2×C22⋊C8C22×C37semidirect
1137. C37#61613direct (N × H)

Maximal subgroups

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

subgroupindex
C37×#35412
C37×#34852
C37×#33312
C37×#33222
C37×#33152
C37×#33142
C37×#33112
C37×#33072
C37×#33022
C37×#32962
C37×#32832
C37×#32822
C37×#32762
C37×#32752
C37×#32692
C37×#32672
C37×#32662
C37×#32252
C37×#32232
C37×#32022
C37×#32012
C37×#31972
C37×#31902
C37×#31232
C37×#31182
C37×#30122
C37×#30092
C37×#30072
C37×#30022
C37×#29762
#6161337