Finite Group Databasebeta

← C31×#22434 #21479193

Subgroups — C31×#22434 #21479193

Order 7936.

1494 conjugacy classes of subgroups.

The subgroup lattice has 1244 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1D4×#41×C31C211yesmaximal, characteristic
2D4×M16×C31C211yesmaximal, characteristic, complemented
3C2×C31×#421C211yesmaximal, characteristic, complemented
4C22×C31×#104C211yesmaximal, characteristic, complemented
5C31×#2290C211yesmaximal, characteristic, complemented
6C31×#1980C211yesmaximal, characteristic, complemented
7C31×#1963C211yesmaximal, characteristic, complemented
8C31×#1897C211yesmaximal, characteristic, complemented
9C31×#1896C211yesmaximal, characteristic, complemented
10C31×#1871C211yesmaximal, characteristic, complemented
11C31×#1871C211yesmaximal, characteristic, complemented
12C31×#1806C211yesmaximal, characteristic, complemented
13C31×#1789C211yesmaximal, characteristic, complemented
14C31×#1789C211yesmaximal, characteristic, complemented
15C31×#1759C211yesmaximal, characteristic, complemented
16C22×#41×C31C2211yescharacteristic
17C22×#41×C31C2211yescharacteristic
18C22×M16×C31C2211yescharacteristic, complemented
19C22×M16×C31C2211yescharacteristic, complemented
20C31×#550C411yescharacteristic, complemented
21D4×Q8×C31C411yescharacteristic, complemented
22C31×#548C411yescharacteristic, complemented
23C31×#548C411yescharacteristic, complemented
24C31×#547—21no—
25C31×#547C411yescharacteristic, complemented
26C31×#546—21no—
27C31×#546—21no—
28C31×#546C411yescharacteristic, complemented
29C31×#546C411yescharacteristic, complemented
30D42×C31—21no—
31D42×C31C411yescharacteristic, complemented
32C31×#532—21no—
33C31×#532C2211yescharacteristic
34C31×#525—21no—
35C31×#525—21no—
36C31×#525C2211yescharacteristic
37C31×#525C2211yescharacteristic
38C4×#41×C31C2211yescharacteristic
39C2×C4×D4×C31—21no—
40C2×C4×D4×C31C2211yescharacteristic
41C2×C31×#117C2211yescharacteristic, complemented
42C22×C42×C31C2211yescharacteristic, complemented
43C31×#436—21no—
44C31×#435—21no—
45C31×#435—21no—
46C8×D4×C31—21no—
47C31×#423C2211yescharacteristic, complemented
48C31×#421—24no—
49C2×C31×#104—24no—
50C2×C31×#104C2211yescharacteristic
51C2×C31×#104C2211yescharacteristic
52C2×C31×#104C2211yescharacteristic
53C2×C31×#104C2211yescharacteristic
54C2×C31×#104C2211yescharacteristic, complemented
55C2×C31×#104C2211yescharacteristic, complemented
56C2×C31×#104C2211yescharacteristic, complemented
57C2×C31×#104C2211yescharacteristic, complemented
58C2×C31×#104C2211yescharacteristic, complemented
59C2×C31×#104C2211yescharacteristic, complemented
60C2×C31×#104C2211yescharacteristic, complemented
61C2×C31×#104C2211yescharacteristic, complemented
62C31×#407C2211yescharacteristic, complemented
63C31×#407C2211yescharacteristic, complemented
64C4×M16×C31C2211yescharacteristic, complemented
65C31×#388—21no—
66C31×#387—21no—
67C31×#386—21no—
68C31×#385—21no—
69C4×C4⋊C4×C31C2211yescharacteristic, complemented
70C4×C22⋊C4×C31C2211yescharacteristic, complemented
71C4×C22⋊C4×C31C2211yescharacteristic, complemented
72C31×#376C2211yescharacteristic, complemented
73C31×#339C2211yescharacteristic, complemented
74C31×#339C2211yescharacteristic, complemented
75C31×#339C2211yescharacteristic, complemented
76C31×#339C2211yescharacteristic, complemented
77C2×#41×C31—21no—
78C2×#41×C31—21no—
79C2×#41×C31—21no—
80C2×#41×C31—21no—
81C2×#41×C31—22no—
82C2×#41×C31—22no—
83C2×#41×C31—22no—
84C2×#41×C31—22no—
85C2×#41×C31—41no—
86C2×#41×C31—41no—
87C2×#41×C31—41no—
88C2×#41×C31—41no—
89C2×#41×C31C2×C411yescharacteristic
90C2×#41×C31C2×C411yescharacteristic
91C2×#41×C31C2×C411yescharacteristic, complemented
92C2×#41×C31C2×C411yescharacteristic, complemented
93C2×#41×C31C2311yescharacteristic
94C2×#41×C31C2311yescharacteristic
95C2×#41×C31C2311yescharacteristic
96C22×Q8×C31C2×C411yescharacteristic
97C22×Q8×C31C2×C411yescharacteristic, complemented
98C22×D4×C31—21no—
99C22×D4×C31—21no—
100C22×D4×C31—21no—
101C22×D4×C31C2×C411yescharacteristic
102C22×D4×C31C2×C411yescharacteristic, complemented
103C22×D4×C31D411yescharacteristic
104C23×C4×C31—21no—
105C23×C4×C31—21no—
106C23×C4×C31—21no—
107C23×C4×C31C2311yescharacteristic
108C23×C4×C31C2311yescharacteristic
109C2×M16×C31—21no—
110C2×M16×C31—21no—
111C2×M16×C31—22no—
112C2×M16×C31—22no—
113C2×M16×C31—41no—
114C2×M16×C31—41no—
115C2×M16×C31C2311yescharacteristic
116C2×M16×C31C2311yescharacteristic
117C2×M16×C31C2311yescharacteristic
118C2×M16×C31C2311yescharacteristic
119C22×C8×C31—21no—
120C22×C8×C31—21no—
121C31×C4⋊Q8—21no—
122C31×C4⋊Q8C2×C411yescharacteristic, complemented
123C31×#127—21no—
124C31×#127C2×C411yescharacteristic, complemented
125C31×#124—21no—
126C31×#124—21no—
127C31×#124C2×C411yescharacteristic, complemented
128C31×#124C2×C411yescharacteristic, complemented
129C31×#123—21no—
130C31×#123—21no—
131C31×#123—21no—
132C31×#123—21no—
133C31×#123—21no—
134C31×#123—21no—
135C31×C22⋊Q8—21no—
136C31×C22⋊Q8—21no—
137C31×C22⋊Q8—21no—
138C31×C22⋊Q8—21no—
139C31×C22⋊Q8C2×C411yescharacteristic
140C31×C22⋊Q8C2×C411yescharacteristic
141C31×C22⋊Q8C2×C411yescharacteristic, complemented
142C31×C22⋊Q8C2×C411yescharacteristic, complemented
143C31×#121—21no—
144C31×#121—21no—
145C31×#121—21no—
146C31×#121—21no—
147C31×#121—21no—
148C31×#121—21no—
149C31×#121—21no—
150C31×#121—21no—
151C31×#121—21no—
152C31×#121—21no—
153C31×#121C2×C411yescharacteristic
154C31×#121C2×C411yescharacteristic
155C31×#121C2×C411yescharacteristic, complemented
156C31×#121C2×C411yescharacteristic, complemented
157C31×#120—21no—
158C31×#120—21no—
159C31×#120—21no—
160C31×#120—21no—
161C31×#120—21no—
162C31×#120—21no—
163C4×Q8×C31C2×C411yescharacteristic, complemented
164C4×Q8×C31C2×C411yescharacteristic, complemented
165C4×D4×C31—21no—
166C4×D4×C31—21no—
167C4×D4×C31—21no—
168C4×D4×C31—21no—
169C4×D4×C31—21no—
170C4×D4×C31—21no—
171C4×D4×C31—21no—
172C4×D4×C31—21no—
173C4×D4×C31—21no—
174C4×D4×C31—21no—
175C4×D4×C31—21no—
176C4×D4×C31—21no—
177C4×D4×C31C2×C411yescharacteristic
178C4×D4×C31C2×C411yescharacteristic
179C4×D4×C31C2×C411yescharacteristic
180C4×D4×C31C2×C411yescharacteristic
181C4×D4×C31C2×C411yescharacteristic, complemented
182C4×D4×C31C2×C411yescharacteristic, complemented
183C4×D4×C31D411yescharacteristic
184C4×D4×C31D411yescharacteristic
185C4×D4×C31D411yescharacteristic
186C4×D4×C31D411yescharacteristic
187C31×#117—21no—
188C31×#117—22no—
189C31×#117—41no—
190C31×#117C2311yescharacteristic
191C2×C4⋊C4×C31—21no—
192C2×C4⋊C4×C31—21no—
193C2×C4⋊C4×C31—21no—
194C2×C4⋊C4×C31D411yescharacteristic
195C2×C22⋊C4×C31—21no—
196C2×C22⋊C4×C31—21no—
197C2×C22⋊C4×C31—21no—
198C2×C22⋊C4×C31—21no—
199C2×C22⋊C4×C31—21no—
200C2×C22⋊C4×C31D411yescharacteristic
201C2×C22⋊C4×C31D411yescharacteristic
202C2×C42×C31—21no—
203C2×C42×C31—22no—
204C2×C42×C31—21no—
205C2×C42×C31—41no—
206C2×C42×C31C2311yescharacteristic
207C2×C42×C31C2311yescharacteristic
208C2×C42×C31C2311yescharacteristic
209C2×C42×C31C2311yescharacteristic
210C2×C42×C31C2311yescharacteristic
211C31×C4⋊C8—21no—
212C31×C4⋊C8—21no—
213C31×#104—22no—
214C31×#104—22no—
215C31×#104—22no—
216C31×#104—22no—
217C31×#104—22no—
218C31×#104—22no—
219C31×#104—22no—
220C31×#104—41no—
221C31×#104—41no—
222C31×#104—41no—
223C31×#104—41no—
224C31×#104D414yescomplemented
225C31×C22⋊C8—21no—
226C31×C22⋊C8—21no—
227C31×C22⋊C8—21no—
228C31×C22⋊C8—21no—
229C31×#97—21no—
230C4×C8×C31—21no—
231C31×#95—21no—
232C31×#95—21no—
233C31×#95—21no—
234C31×#95—21no—
235C31×#95—21no—
236C24×C31—21no—
237C24×C31—21no—
238C24×C31C2×D411yescharacteristic
239C24×C31C2×D411yescharacteristic
240#41×C31—21no—
241#41×C31—21no—
242#41×C31—22no—
243#41×C31—22no—
244#41×C31—22no—
245#41×C31—22no—
246#41×C31—21no—
247#41×C31—21no—
248#41×C31—21no—
249#41×C31—21no—
250#41×C31—21no—
251#41×C31—21no—
252#41×C31—21no—
253#41×C31—21no—
254#41×C31—42no—
255#41×C31—42no—
256#41×C31—42no—
257#41×C31—42no—
258#41×C31—41no—
259#41×C31—41no—
260#41×C31—41no—
261#41×C31—41no—
262#41×C31—42no—
263#41×C31—42no—
264#41×C31—42no—
265#41×C31—42no—
266#41×C31C2×D412yes—
267#41×C31#4112yes—
268C2×Q8×C31—21no—
269C2×Q8×C31—21no—
270C2×Q8×C31—22no—
271C2×Q8×C31—22no—
272C2×Q8×C31—41no—
273C2×Q8×C31—41no—
274C2×Q8×C31C22×C411yescharacteristic
275C2×Q8×C31C22×C411yescharacteristic
276C2×Q8×C31C22×C411yescharacteristic
277C2×D4×C31—21no—
278C2×D4×C31—22no—
279C2×D4×C31—22no—
280C2×D4×C31—21no—
281C2×D4×C31—21no—
282C2×D4×C31—21no—
283C2×D4×C31—21no—
284C2×D4×C31—21no—
285C2×D4×C31—21no—
286C2×D4×C31—21no—
287C2×D4×C31—21no—
288C2×D4×C31—21no—
289C2×D4×C31—21no—
290C2×D4×C31—21no—
291C2×D4×C31—21no—
292C2×D4×C31—21no—
293C2×D4×C31—21no—
294C2×D4×C31—41no—
295C2×D4×C31—41no—
296C2×D4×C31—42no—
297C2×D4×C31—42no—
298C2×D4×C31—42no—
299C2×D4×C31—42no—
300C2×D4×C31—42no—
301C2×D4×C31—44no—
302C2×D4×C31C22⋊C411yescharacteristic
303C2×D4×C31C22⋊C411yescharacteristic
304C2×D4×C31C22⋊C411yescharacteristic
305C2×D4×C31C22⋊C411yescharacteristic
306C2×D4×C31C22×C411yescharacteristic
307C2×D4×C31C22×C411yescharacteristic
308C2×D4×C31C22×C411yescharacteristic
309C22×C4×C31—21no—
310C22×C4×C31—21no—
311C22×C4×C31—21no—
312C22×C4×C31—21no—
313C22×C4×C31—21no—
314C22×C4×C31—21no—
315C22×C4×C31—21no—
316C22×C4×C31—21no—
317C22×C4×C31—21no—
318C22×C4×C31—21no—
319C22×C4×C31—21no—
320C22×C4×C31—21no—
321C22×C4×C31—21no—
322C22×C4×C31—21no—
323C22×C4×C31—21no—
324C22×C4×C31—21no—
325C22×C4×C31—21no—
326C22×C4×C31—21no—
327C22×C4×C31—21no—
328C22×C4×C31—21no—
329C22×C4×C31—21no—
330C22×C4×C31—21no—
331C22×C4×C31—21no—
332C22×C4×C31—42no—
333C22×C4×C31—42no—
334C22×C4×C31—42no—
335C22×C4×C31—42no—
336C22×C4×C31—42no—
337C22×C4×C31—42no—
338C22×C4×C31—42no—
339C22×C4×C31C22×C411yescharacteristic
340C22×C4×C31C22×C411yescharacteristic
341C22×C4×C31C22×C411yescharacteristic
342C22×C4×C31C22×C411yescharacteristic
343C22×C4×C31C2×D411yescharacteristic
344C22×C4×C31C2×D411yescharacteristic
345C22×C4×C31C2×D411yescharacteristic
346C22×C4×C31C2×D411yescharacteristic
347C22×C4×C31C2×D411yescharacteristic
348C22×C4×C31C2×D411yescharacteristic
349C22×C4×C31C2×D411yescharacteristic
350C22×C4×C31C2×D411yescharacteristic
351C22×C4×C31C2411yescharacteristic
352M16×C31—21no—
353M16×C31—21no—
354M16×C31—21no—
355M16×C31—21no—
356M16×C31—21no—
357M16×C31—21no—
358M16×C31—21no—
359M16×C31—42no—
360M16×C31—42no—
361M16×C31C2×D412yescomplemented
362C2×C8×C31—21no—
363C2×C8×C31—21no—
364C2×C8×C31—21no—
365C2×C8×C31—21no—
366C2×C8×C31—42no—
367C2×C8×C31—42no—
368C4⋊C4×C31—21no—
369C4⋊C4×C31—21no—
370C4⋊C4×C31—21no—
371C4⋊C4×C31—21no—
372C4⋊C4×C31—21no—
373C4⋊C4×C31—21no—
374C4⋊C4×C31—21no—
375C4⋊C4×C31—21no—
376C4⋊C4×C31—42no—
377C4⋊C4×C31—42no—
378C4⋊C4×C31C22⋊C411yescharacteristic
379C4⋊C4×C31C22⋊C411yescharacteristic
380C4⋊C4×C31C22⋊C411yescharacteristic
381C4⋊C4×C31C22⋊C411yescharacteristic
382C4⋊C4×C31C22×C411yescharacteristic
383C4⋊C4×C31C22×C411yescharacteristic
384C22⋊C4×C31—21no—
385C22⋊C4×C31—21no—
386C22⋊C4×C31—21no—
387C22⋊C4×C31—21no—
388C22⋊C4×C31—21no—
389C22⋊C4×C31—21no—
390C22⋊C4×C31—21no—
391C22⋊C4×C31—21no—
392C22⋊C4×C31—21no—
393C22⋊C4×C31—21no—
394C22⋊C4×C31—21no—
395C22⋊C4×C31—21no—
396C22⋊C4×C31—21no—
397C22⋊C4×C31—21no—
398C22⋊C4×C31—21no—
399C22⋊C4×C31—42no—
400C22⋊C4×C31—42no—
401C22⋊C4×C31—42no—
402C22⋊C4×C31C22⋊C411yescharacteristic
403C22⋊C4×C31C22⋊C411yescharacteristic
404C22⋊C4×C31C22⋊C411yescharacteristic
405C22⋊C4×C31C22⋊C411yescharacteristic
406C22⋊C4×C31C22⋊C411yescharacteristic
407C22⋊C4×C31C22⋊C411yescharacteristic
408C22⋊C4×C31C22⋊C411yescharacteristic
409C22⋊C4×C31C22⋊C411yescharacteristic
410C42×C31—21no—
411C42×C31—21no—
412C42×C31—21no—
413C42×C31—21no—
414C42×C31—21no—
415C42×C31—21no—
416C42×C31—21no—
417C42×C31—21no—
418C42×C31—21no—
419C42×C31—21no—
420C42×C31—42no—
421C42×C31C22×C411yescharacteristic
422C42×C31C22×C411yescharacteristic
423C42×C31C2×D411yescharacteristic
424C42×C31C2×D411yescharacteristic
425C42×C31C2×D412yescomplemented
426#22434C3111yesmaximal, characteristic, direct product factor, Sylow
427C23×C31—21no—
428C23×C31—21no—
429C23×C31—21no—
430C23×C31—22no—
431C23×C31—21no—
432C23×C31—21no—
433C23×C31—21no—
434C23×C31—21no—
435C23×C31—41no—
436C23×C31—41no—
437C23×C31—41no—
438C23×C31—42no—
439C23×C31—42no—
440C23×C31—42no—
441C23×C31—42no—
442C23×C31—81no—
443C23×C31—81no—
444C23×C31C2×C22⋊C411yescharacteristic
445C23×C31C2×C22⋊C411yescharacteristic
446C23×C31C2×C22⋊C411yescharacteristic
447C23×C31C2×C22⋊C411yescharacteristic
448C23×C31C22×D411yescharacteristic
449Q8×C31—21no—
450Q8×C31—21no—
451Q8×C31—21no—
452Q8×C31—21no—
453Q8×C31—21no—
454Q8×C31—42no—
455Q8×C31—42no—
456Q8×C31C4×D412yes—
457D4×C31—22no—
458D4×C31—22no—
459D4×C31—22no—
460D4×C31—22no—
461D4×C31—21no—
462D4×C31—21no—
463D4×C31—21no—
464D4×C31—21no—
465D4×C31—21no—
466D4×C31—41no—
467D4×C31—41no—
468D4×C31—42no—
469D4×C31—42no—
470D4×C31—42no—
471D4×C31—42no—
472D4×C31—42no—
473D4×C31—42no—
474D4×C31—42no—
475D4×C31—42no—
476D4×C31—41no—
477D4×C31—41no—
478D4×C31—41no—
479D4×C31—41no—
480D4×C31—42no—
481D4×C31—81no—
482D4×C31—81no—
483D4×C31—81no—
484D4×C31C4×D412yes—
485C2×C4×C31—21no—
486C2×C4×C31—21no—
487C2×C4×C31—21no—
488C2×C4×C31—21no—
489C2×C4×C31—21no—
490C2×C4×C31—21no—
491C2×C4×C31—21no—
492C2×C4×C31—21no—
493C2×C4×C31—21no—
494C2×C4×C31—21no—
495C2×C4×C31—21no—
496C2×C4×C31—21no—
497C2×C4×C31—21no—
498C2×C4×C31—21no—
499C2×C4×C31—21no—
500C2×C4×C31—21no—
501C2×C4×C31—21no—
502C2×C4×C31—22no—
503C2×C4×C31—21no—
504C2×C4×C31—21no—
505C2×C4×C31—21no—
506C2×C4×C31—21no—
507C2×C4×C31—22no—
508C2×C4×C31—22no—
509C2×C4×C31—21no—
510C2×C4×C31—21no—
511C2×C4×C31—21no—
512C2×C4×C31—21no—
513C2×C4×C31—22no—
514C2×C4×C31—41no—
515C2×C4×C31—41no—
516C2×C4×C31—42no—
517C2×C4×C31—42no—
518C2×C4×C31—42no—
519C2×C4×C31—42no—
520C2×C4×C31—42no—
521C2×C4×C31—42no—
522C2×C4×C31—42no—
523C2×C4×C31—41no—
524C2×C4×C31—41no—
525C2×C4×C31—41no—
526C2×C4×C31—48no—
527C2×C4×C31—41no—
528C2×C4×C31—41no—
529C2×C4×C31—41no—
530C2×C4×C31—41no—
531C2×C4×C31—41no—
532C2×C4×C31—41no—
533C2×C4×C31—41no—
534C2×C4×C31—41no—
535C2×C4×C31—41no—
536C2×C4×C31—41no—
537C2×C4×C31—41no—
538C2×C4×C31—81no—
539C2×C4×C31C2×C22⋊C411yescharacteristic
540C2×C4×C31C2×C22⋊C411yescharacteristic
541C2×C4×C31C2×C22⋊C411yescharacteristic
542C2×C4×C31C2×C22⋊C411yescharacteristic
543C2×C4×C31C2×C22⋊C411yescharacteristic
544C2×C4×C31C2×C22⋊C411yescharacteristic
545C2×C4×C31C2×C22⋊C411yescharacteristic
546C2×C4×C31C2×C22⋊C411yescharacteristic
547C2×C4×C31C23×C411yescharacteristic
548C2×C4×C31C22×D411yescharacteristic
549C2×C4×C31C22×D411yescharacteristic
550C2×C4×C31C2×#4111yescharacteristic
551C2×C4×C31H(5,𝔽2)11yescharacteristic
552C2×C4×C31H(5,𝔽2)11yescharacteristic
553C8×C31—22no—
554C8×C31—41no—
555C8×C31—41no—
556C8×C31—41no—
557D4×#41C2×C3111yescharacteristic
558D4×M16C2×C3111yescharacteristic, complemented
559C2×#421C2×C3111yescharacteristic, complemented
560C22×#104C2×C3111yescharacteristic, complemented
561#2290C2×C3111yescharacteristic, complemented
562#1980C2×C3111yescharacteristic, complemented
563#1963C2×C3111yescharacteristic, complemented
564#1897C2×C3111yescharacteristic, complemented
565#1896C2×C3111yescharacteristic, complemented
566#1871C2×C3111yescharacteristic, complemented
567#1871C2×C3111yescharacteristic, complemented
568#1806C2×C3111yescharacteristic, complemented
569#1789C2×C3111yescharacteristic, complemented
570#1789C2×C3111yescharacteristic, complemented
571#1759C2×C3111yescharacteristic, complemented
572C22×C31—21no—
573C22×C31—21no—
574C22×C31—21no—
575C22×C31—21no—
576C22×C31—21no—
577C22×C31—21no—
578C22×C31—21no—
579C22×C31—22no—
580C22×C31—21no—
581C22×C31—21no—
582C22×C31—21no—
583C22×C31—21no—
584C22×C31—21no—
585C22×C31—21no—
586C22×C31—42no—
587C22×C31—42no—
588C22×C31—41no—
589C22×C31—41no—
590C22×C31—41no—
591C22×C31—41no—
592C22×C31—41no—
593C22×C31—41no—
594C22×C31—41no—
595C22×C31—41no—
596C22×C31—81no—
597C22×C31—81no—
598C22×C31—84no—
599C22×C31—84no—
600C22×C31#42112yescomplemented
601C22×C31C22×C22⋊C411yescharacteristic
602C22×C31D4211yescharacteristic
603C22×C31#54611yescharacteristic
604C4×C31—21no—
605C4×C31—21no—
606C4×C31—21no—
607C4×C31—21no—
608C4×C31—22no—
609C4×C31—21no—
610C4×C31—21no—
611C4×C31—21no—
612C4×C31—21no—
613C4×C31—42no—
614C4×C31—42no—
615C4×C31—41no—
616C4×C31—41no—
617C4×C31—41no—
618C4×C31—41no—
619C4×C31—81no—
620C4×C31—81no—
621C4×C31C2×C4×D411yescharacteristic
622C4×C31#51811yescharacteristic
623C4×C31D4211yescharacteristic
624C4×C31#54611yescharacteristic
625C22×#41C22×C3111yescharacteristic
626C22×#41C22×C3111yescharacteristic
627C22×M16C22×C3111yescharacteristic, complemented
628C22×M16C22×C3111yescharacteristic, complemented
629#550C4×C3111yescharacteristic, complemented
630D4×Q8C4×C3111yescharacteristic, complemented
631#548C4×C3111yescharacteristic, complemented
632#548C4×C3111yescharacteristic, complemented
633#547—21no—
634#547C4×C3111yescharacteristic, complemented
635#546—21no—
636#546—21no—
637#546C4×C3111yescharacteristic, complemented
638#546C4×C3111yescharacteristic, complemented
639D42—21no—
640D42C4×C3111yescharacteristic, complemented
641#532—21no—
642#532C22×C3111yescharacteristic
643#525—21no—
644#525—21no—
645#525C22×C3111yescharacteristic
646#525C22×C3111yescharacteristic
647C4×#41C22×C3111yescharacteristic
648C2×C4×D4—21no—
649C2×C4×D4C22×C3111yescharacteristic
650C2×#117C22×C3111yescharacteristic, complemented
651C22×C42C22×C3111yescharacteristic, complemented
652#436—21no—
653#435—21no—
654#435—21no—
655C8×D4—21no—
656#423C22×C3111yescharacteristic, complemented
657#421—24no—
658C2×#104—24no—
659C2×#104C22×C3111yescharacteristic
660C2×#104C22×C3111yescharacteristic
661C2×#104C22×C3111yescharacteristic
662C2×#104C22×C3111yescharacteristic
663C2×#104C22×C3111yescharacteristic, complemented
664C2×#104C22×C3111yescharacteristic, complemented
665C2×#104C22×C3111yescharacteristic, complemented
666C2×#104C22×C3111yescharacteristic, complemented
667C2×#104C22×C3111yescharacteristic, complemented
668C2×#104C22×C3111yescharacteristic, complemented
669C2×#104C22×C3111yescharacteristic, complemented
670C2×#104C22×C3111yescharacteristic, complemented
671#407C22×C3111yescharacteristic, complemented
672#407C22×C3111yescharacteristic, complemented
673C4×M16C22×C3111yescharacteristic, complemented
674#388—21no—
675#387—21no—
676#386—21no—
677#385—21no—
678C4×C4⋊C4C22×C3111yescharacteristic, complemented
679C4×C22⋊C4C22×C3111yescharacteristic, complemented
680C4×C22⋊C4C22×C3111yescharacteristic, complemented
681#376C22×C3111yescharacteristic, complemented
682#339C22×C3111yescharacteristic, complemented
683#339C22×C3111yescharacteristic, complemented
684#339C22×C3111yescharacteristic, complemented
685#339C22×C3111yescharacteristic, complemented
686C2×C31—21no—
687C2×C31—21no—
688C2×C31—22no—
689C2×C31—41no—
690C2×C31—41no—
691C2×C31—41no—
692C2×C31—42no—
693C2×C31—81no—
694C2×C31—81no—
695C2×C31D4×C22⋊C411yescharacteristic
696C2×C31C2×#42111yescharacteristic
697C2×C31#290111yescharacteristic
698C2×#41—21no—
699C2×#41—21no—
700C2×#41—21no—
701C2×#41—21no—
702C2×#41—22no—
703C2×#41—22no—
704C2×#41—22no—
705C2×#41—22no—
706C2×#41—41no—
707C2×#41—41no—
708C2×#41—41no—
709C2×#41—41no—
710C2×#41C2×C4×C3111yescharacteristic
711C2×#41C2×C4×C3111yescharacteristic
712C2×#41C2×C4×C3111yescharacteristic, complemented
713C2×#41C2×C4×C3111yescharacteristic, complemented
714C2×#41C23×C3111yescharacteristic
715C2×#41C23×C3111yescharacteristic
716C2×#41C23×C3111yescharacteristic
717C22×Q8C2×C4×C3111yescharacteristic
718C22×Q8C2×C4×C3111yescharacteristic, complemented
719C22×D4—21no—
720C22×D4—21no—
721C22×D4—21no—
722C22×D4C2×C4×C3111yescharacteristic
723C22×D4C2×C4×C3111yescharacteristic, complemented
724C22×D4D4×C3111yescharacteristic
725C23×C4—21no—
726C23×C4—21no—
727C23×C4—21no—
728C23×C4C23×C3111yescharacteristic
729C23×C4C23×C3111yescharacteristic
730C2×M16—21no—
731C2×M16—21no—
732C2×M16—22no—
733C2×M16—22no—
734C2×M16—41no—
735C2×M16—41no—
736C2×M16C23×C3111yescharacteristic
737C2×M16C23×C3111yescharacteristic
738C2×M16C23×C3111yescharacteristic
739C2×M16C23×C3111yescharacteristic
740C22×C8—21no—
741C22×C8—21no—
742C4⋊Q8—21no—
743C4⋊Q8C2×C4×C3111yescharacteristic, complemented
744#127—21no—
745#127C2×C4×C3111yescharacteristic, complemented
746#124—21no—
747#124—21no—
748#124C2×C4×C3111yescharacteristic, complemented
749#124C2×C4×C3111yescharacteristic, complemented
750#123—21no—
751#123—21no—
752#123—21no—
753#123—21no—
754#123—21no—
755#123—21no—
756C22⋊Q8—21no—
757C22⋊Q8—21no—
758C22⋊Q8—21no—
759C22⋊Q8—21no—
760C22⋊Q8C2×C4×C3111yescharacteristic
761C22⋊Q8C2×C4×C3111yescharacteristic
762C22⋊Q8C2×C4×C3111yescharacteristic, complemented
763C22⋊Q8C2×C4×C3111yescharacteristic, complemented
764#121—21no—
765#121—21no—
766#121—21no—
767#121—21no—
768#121—21no—
769#121—21no—
770#121—21no—
771#121—21no—
772#121—21no—
773#121—21no—
774#121C2×C4×C3111yescharacteristic
775#121C2×C4×C3111yescharacteristic
776#121C2×C4×C3111yescharacteristic, complemented
777#121C2×C4×C3111yescharacteristic, complemented
778#120—21no—
779#120—21no—
780#120—21no—
781#120—21no—
782#120—21no—
783#120—21no—
784C4×Q8C2×C4×C3111yescharacteristic, complemented
785C4×Q8C2×C4×C3111yescharacteristic, complemented
786C4×D4—21no—
787C4×D4—21no—
788C4×D4—21no—
789C4×D4—21no—
790C4×D4—21no—
791C4×D4—21no—
792C4×D4—21no—
793C4×D4—21no—
794C4×D4—21no—
795C4×D4—21no—
796C4×D4—21no—
797C4×D4—21no—
798C4×D4C2×C4×C3111yescharacteristic
799C4×D4C2×C4×C3111yescharacteristic
800C4×D4C2×C4×C3111yescharacteristic
801C4×D4C2×C4×C3111yescharacteristic
802C4×D4C2×C4×C3111yescharacteristic, complemented
803C4×D4C2×C4×C3111yescharacteristic, complemented
804C4×D4D4×C3111yescharacteristic
805C4×D4D4×C3111yescharacteristic
806C4×D4D4×C3111yescharacteristic
807C4×D4D4×C3111yescharacteristic
808#117—21no—
809#117—22no—
810#117—41no—
811#117C23×C3111yescharacteristic
812C2×C4⋊C4—21no—
813C2×C4⋊C4—21no—
814C2×C4⋊C4—21no—
815C2×C4⋊C4D4×C3111yescharacteristic
816C2×C22⋊C4—21no—
817C2×C22⋊C4—21no—
818C2×C22⋊C4—21no—
819C2×C22⋊C4—21no—
820C2×C22⋊C4—21no—
821C2×C22⋊C4D4×C3111yescharacteristic
822C2×C22⋊C4D4×C3111yescharacteristic
823C2×C42—21no—
824C2×C42—22no—
825C2×C42—21no—
826C2×C42—41no—
827C2×C42C23×C3111yescharacteristic
828C2×C42C23×C3111yescharacteristic
829C2×C42C23×C3111yescharacteristic
830C2×C42C23×C3111yescharacteristic
831C2×C42C23×C3111yescharacteristic
832C4⋊C8—21no—
833C4⋊C8—21no—
834#104—22no—
835#104—22no—
836#104—22no—
837#104—22no—
838#104—22no—
839#104—22no—
840#104—22no—
841#104—41no—
842#104—41no—
843#104—41no—
844#104—41no—
845#104D4×C3114yescomplemented
846C22⋊C8—21no—
847C22⋊C8—21no—
848C22⋊C8—21no—
849C22⋊C8—21no—
850#97—21no—
851C4×C8—21no—
852#95—21no—
853#95—21no—
854#95—21no—
855#95—21no—
856#95—21no—
857C31#2243411yescharacteristic, direct product factor, Sylow
858C24—21no—
859C24—21no—
860C24C2×D4×C3111yescharacteristic
861C24C2×D4×C3111yescharacteristic
862#41—21no—
863#41—21no—
864#41—22no—
865#41—22no—
866#41—22no—
867#41—22no—
868#41—21no—
869#41—21no—
870#41—21no—
871#41—21no—
872#41—21no—
873#41—21no—
874#41—21no—
875#41—21no—
876#41—42no—
877#41—42no—
878#41—42no—
879#41—42no—
880#41—41no—
881#41—41no—
882#41—41no—
883#41—41no—
884#41—42no—
885#41—42no—
886#41—42no—
887#41—42no—
888#41C2×D4×C3112yes—
889#41#41×C3112yes—
890C2×Q8—21no—
891C2×Q8—21no—
892C2×Q8—22no—
893C2×Q8—22no—
894C2×Q8—41no—
895C2×Q8—41no—
896C2×Q8C22×C4×C3111yescharacteristic
897C2×Q8C22×C4×C3111yescharacteristic
898C2×Q8C22×C4×C3111yescharacteristic
899C2×D4—21no—
900C2×D4—22no—
901C2×D4—22no—
902C2×D4—21no—
903C2×D4—21no—
904C2×D4—21no—
905C2×D4—21no—
906C2×D4—21no—
907C2×D4—21no—
908C2×D4—21no—
909C2×D4—21no—
910C2×D4—21no—
911C2×D4—21no—
912C2×D4—21no—
913C2×D4—21no—
914C2×D4—21no—
915C2×D4—21no—
916C2×D4—41no—
917C2×D4—41no—
918C2×D4—42no—
919C2×D4—42no—
920C2×D4—42no—
921C2×D4—42no—
922C2×D4—42no—
923C2×D4—44no—
924C2×D4C22⋊C4×C3111yescharacteristic
925C2×D4C22⋊C4×C3111yescharacteristic
926C2×D4C22⋊C4×C3111yescharacteristic
927C2×D4C22⋊C4×C3111yescharacteristic
928C2×D4C22×C4×C3111yescharacteristic
929C2×D4C22×C4×C3111yescharacteristic
930C2×D4C22×C4×C3111yescharacteristic
931C22×C4—21no—
932C22×C4—21no—
933C22×C4—21no—
934C22×C4—21no—
935C22×C4—21no—
936C22×C4—21no—
937C22×C4—21no—
938C22×C4—21no—
939C22×C4—21no—
940C22×C4—21no—
941C22×C4—21no—
942C22×C4—21no—
943C22×C4—21no—
944C22×C4—21no—
945C22×C4—21no—
946C22×C4—21no—
947C22×C4—21no—
948C22×C4—21no—
949C22×C4—21no—
950C22×C4—21no—
951C22×C4—21no—
952C22×C4—21no—
953C22×C4—21no—
954C22×C4—42no—
955C22×C4—42no—
956C22×C4—42no—
957C22×C4—42no—
958C22×C4—42no—
959C22×C4—42no—
960C22×C4—42no—
961C22×C4C22×C4×C3111yescharacteristic
962C22×C4C22×C4×C3111yescharacteristic
963C22×C4C22×C4×C3111yescharacteristic
964C22×C4C22×C4×C3111yescharacteristic
965C22×C4C2×D4×C3111yescharacteristic
966C22×C4C2×D4×C3111yescharacteristic
967C22×C4C2×D4×C3111yescharacteristic
968C22×C4C2×D4×C3111yescharacteristic
969C22×C4C2×D4×C3111yescharacteristic
970C22×C4C2×D4×C3111yescharacteristic
971C22×C4C2×D4×C3111yescharacteristic
972C22×C4C2×D4×C3111yescharacteristic
973C22×C4C24×C3111yescharacteristic
974M16—21no—
975M16—21no—
976M16—21no—
977M16—21no—
978M16—21no—
979M16—21no—
980M16—21no—
981M16—42no—
982M16—42no—
983M16C2×D4×C3112yescomplemented
984C2×C8—21no—
985C2×C8—21no—
986C2×C8—21no—
987C2×C8—21no—
988C2×C8—42no—
989C2×C8—42no—
990C4⋊C4—21no—
991C4⋊C4—21no—
992C4⋊C4—21no—
993C4⋊C4—21no—
994C4⋊C4—21no—
995C4⋊C4—21no—
996C4⋊C4—21no—
997C4⋊C4—21no—
998C4⋊C4—42no—
999C4⋊C4—42no—
1000C4⋊C4C22⋊C4×C3111yescharacteristic
1001C4⋊C4C22⋊C4×C3111yescharacteristic
1002C4⋊C4C22⋊C4×C3111yescharacteristic
1003C4⋊C4C22⋊C4×C3111yescharacteristic
1004C4⋊C4C22×C4×C3111yescharacteristic
1005C4⋊C4C22×C4×C3111yescharacteristic
1006C22⋊C4—21no—
1007C22⋊C4—21no—
1008C22⋊C4—21no—
1009C22⋊C4—21no—
1010C22⋊C4—21no—
1011C22⋊C4—21no—
1012C22⋊C4—21no—
1013C22⋊C4—21no—
1014C22⋊C4—21no—
1015C22⋊C4—21no—
1016C22⋊C4—21no—
1017C22⋊C4—21no—
1018C22⋊C4—21no—
1019C22⋊C4—21no—
1020C22⋊C4—21no—
1021C22⋊C4—42no—
1022C22⋊C4—42no—
1023C22⋊C4—42no—
1024C22⋊C4C22⋊C4×C3111yescharacteristic
1025C22⋊C4C22⋊C4×C3111yescharacteristic
1026C22⋊C4C22⋊C4×C3111yescharacteristic
1027C22⋊C4C22⋊C4×C3111yescharacteristic
1028C22⋊C4C22⋊C4×C3111yescharacteristic
1029C22⋊C4C22⋊C4×C3111yescharacteristic
1030C22⋊C4C22⋊C4×C3111yescharacteristic
1031C22⋊C4C22⋊C4×C3111yescharacteristic
1032C42—21no—
1033C42—21no—
1034C42—21no—
1035C42—21no—
1036C42—21no—
1037C42—21no—
1038C42—21no—
1039C42—21no—
1040C42—21no—
1041C42—21no—
1042C42—42no—
1043C42C22×C4×C3111yescharacteristic
1044C42C22×C4×C3111yescharacteristic
1045C42C2×D4×C3111yescharacteristic
1046C42C2×D4×C3111yescharacteristic
1047C42C2×D4×C3112yescomplemented
1048C23—22no—
1049C23—21no—
1050C23—21no—
1051C23—21no—
1052C23—21no—
1053C23—21no—
1054C23—21no—
1055C23—21no—
1056C23—41no—
1057C23—41no—
1058C23—41no—
1059C23—42no—
1060C23—42no—
1061C23—42no—
1062C23—42no—
1063C23—81no—
1064C23—81no—
1065C23C2×C22⋊C4×C3111yescharacteristic
1066C23C2×C22⋊C4×C3111yescharacteristic
1067C23C2×C22⋊C4×C3111yescharacteristic
1068C23C2×C22⋊C4×C3111yescharacteristic
1069C23C22×D4×C3111yescharacteristic
1070Q8—21no—
1071Q8—21no—
1072Q8—21no—
1073Q8—21no—
1074Q8—21no—
1075Q8—42no—
1076Q8—42no—
1077Q8C4×D4×C3112yes—
1078D4—22no—
1079D4—22no—
1080D4—22no—
1081D4—22no—
1082D4—21no—
1083D4—21no—
1084D4—21no—
1085D4—21no—
1086D4—21no—
1087D4—41no—
1088D4—41no—
1089D4—42no—
1090D4—42no—
1091D4—42no—
1092D4—42no—
1093D4—42no—
1094D4—42no—
1095D4—42no—
1096D4—42no—
1097D4—42no—
1098D4—41no—
1099D4—41no—
1100D4—41no—
1101D4—41no—
1102D4—81no—
1103D4—81no—
1104D4—81no—
1105D4C4×D4×C3112yes—
1106C2×C4—21no—
1107C2×C4—21no—
1108C2×C4—21no—
1109C2×C4—21no—
1110C2×C4—21no—
1111C2×C4—21no—
1112C2×C4—21no—
1113C2×C4—21no—
1114C2×C4—21no—
1115C2×C4—21no—
1116C2×C4—21no—
1117C2×C4—21no—
1118C2×C4—21no—
1119C2×C4—21no—
1120C2×C4—21no—
1121C2×C4—21no—
1122C2×C4—21no—
1123C2×C4—22no—
1124C2×C4—21no—
1125C2×C4—21no—
1126C2×C4—21no—
1127C2×C4—21no—
1128C2×C4—22no—
1129C2×C4—22no—
1130C2×C4—21no—
1131C2×C4—21no—
1132C2×C4—21no—
1133C2×C4—21no—
1134C2×C4—22no—
1135C2×C4—41no—
1136C2×C4—41no—
1137C2×C4—42no—
1138C2×C4—42no—
1139C2×C4—42no—
1140C2×C4—42no—
1141C2×C4—42no—
1142C2×C4—42no—
1143C2×C4—42no—
1144C2×C4—41no—
1145C2×C4—41no—
1146C2×C4—41no—
1147C2×C4—48no—
1148C2×C4—41no—
1149C2×C4—41no—
1150C2×C4—41no—
1151C2×C4—41no—
1152C2×C4—41no—
1153C2×C4—41no—
1154C2×C4—41no—
1155C2×C4—41no—
1156C2×C4—41no—
1157C2×C4—41no—
1158C2×C4—41no—
1159C2×C4—81no—
1160C2×C4C2×C22⋊C4×C3111yescharacteristic
1161C2×C4C2×C22⋊C4×C3111yescharacteristic
1162C2×C4C2×C22⋊C4×C3111yescharacteristic
1163C2×C4C2×C22⋊C4×C3111yescharacteristic
1164C2×C4C2×C22⋊C4×C3111yescharacteristic
1165C2×C4C2×C22⋊C4×C3111yescharacteristic
1166C2×C4C2×C22⋊C4×C3111yescharacteristic
1167C2×C4C2×C22⋊C4×C3111yescharacteristic
1168C2×C4C23×C4×C3111yescharacteristic
1169C2×C4C22×D4×C3111yescharacteristic
1170C2×C4C22×D4×C3111yescharacteristic
1171C2×C4C2×#41×C3111yescharacteristic
1172C2×C4C31×H(5,𝔽2)11yescharacteristic
1173C2×C4C31×H(5,𝔽2)11yescharacteristic
1174C8—22no—
1175C8—41no—
1176C8—41no—
1177C8—41no—
1178C22—21no—
1179C22—21no—
1180C22—21no—
1181C22—21no—
1182C22—21no—
1183C22—21no—
1184C22—21no—
1185C22—22no—
1186C22—21no—
1187C22—21no—
1188C22—21no—
1189C22—21no—
1190C22—21no—
1191C22—21no—
1192C22—42no—
1193C22—42no—
1194C22—41no—
1195C22—41no—
1196C22—41no—
1197C22—41no—
1198C22—41no—
1199C22—41no—
1200C22—41no—
1201C22—41no—
1202C22—81no—
1203C22—81no—
1204C22—84no—
1205C22—84no—
1206C22C31×#42112yescomplemented
1207C22C22×C22⋊C4×C3111yescharacteristic
1208C22D42×C3111yescharacteristic
1209C22C31×#54611yescharacteristic
1210C4—21no—
1211C4—21no—
1212C4—21no—
1213C4—21no—
1214C4—22no—
1215C4—21no—
1216C4—21no—
1217C4—21no—
1218C4—21no—
1219C4—42no—
1220C4—42no—
1221C4—41no—
1222C4—41no—
1223C4—41no—
1224C4—41no—
1225C4—81no—
1226C4—81no—
1227C4C2×C4×D4×C3111yescharacteristic
1228C4C31×#51811yescharacteristic
1229C4D42×C3111yescharacteristic
1230C4C31×#54611yescharacteristic
1231C2—21no—
1232C2—21no—
1233C2—22no—
1234C2—41no—
1235C2—41no—
1236C2—41no—
1237C2—42no—
1238C2—81no—
1239C2—81no—
1240C2D4×C22⋊C4×C3111yescharacteristic
1241C2C2×C31×#42111yescharacteristic
1242C2C31×#290111yescharacteristic
subgroupG/H
centerC2×C4×C31C22×D4
commutatorC2×C4C23×C4×C31
Frattini, cosocleC22×C4C24×C31
socleC22×C31C22×C22⋊C4
prime radicalD4×#41×C31C2
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C2×C4×C31 ◁ C2×C4×D4×C31 ◁ G

Complements

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

NH ≅ G/Ntype
2. D4×M16×C31C2semidirect
3. C2×C31×#421C2semidirect
4. C22×C31×#104C2semidirect
5. C31×#2290C2semidirect
6. C31×#1980C2semidirect
7. C31×#1963C2semidirect
8. C31×#1897C2semidirect
9. C31×#1896C2semidirect
10. C31×#1871C2semidirect
11. C31×#1871C2semidirect
12. C31×#1806C2semidirect
13. C31×#1789C2semidirect
14. C31×#1789C2semidirect
15. C31×#1759C2semidirect
18. C22×M16×C31C22semidirect
19. C22×M16×C31C22semidirect
20. C31×#550C4semidirect
21. D4×Q8×C31C4semidirect
22. C31×#548C4semidirect
23. C31×#548C4semidirect
25. C31×#547C4semidirect
28. C31×#546C4semidirect
29. C31×#546C4semidirect
31. D42×C31C4semidirect
41. C2×C31×#117C22semidirect
42. C22×C42×C31C22semidirect
47. C31×#423C22semidirect
54. C2×C31×#104C22semidirect
55. C2×C31×#104C22semidirect
56. C2×C31×#104C22semidirect
57. C2×C31×#104C22semidirect
58. C2×C31×#104C22semidirect
59. C2×C31×#104C22semidirect
60. C2×C31×#104C22semidirect
61. C2×C31×#104C22semidirect
62. C31×#407C22semidirect
63. C31×#407C22semidirect
64. C4×M16×C31C22semidirect
69. C4×C4⋊C4×C31C22semidirect
70. C4×C22⋊C4×C31C22semidirect
71. C4×C22⋊C4×C31C22semidirect
72. C31×#376C22semidirect
73. C31×#339C22semidirect
74. C31×#339C22semidirect
75. C31×#339C22semidirect
76. C31×#339C22semidirect
91. C2×#41×C31C2×C4semidirect
92. C2×#41×C31C2×C4semidirect
97. C22×Q8×C31C2×C4semidirect
102. C22×D4×C31C2×C4semidirect
122. C31×C4⋊Q8C2×C4semidirect
124. C31×#127C2×C4semidirect
127. C31×#124C2×C4semidirect
128. C31×#124C2×C4semidirect
141. C31×C22⋊Q8C2×C4semidirect
142. C31×C22⋊Q8C2×C4semidirect
155. C31×#121C2×C4semidirect
156. C31×#121C2×C4semidirect
163. C4×Q8×C31C2×C4semidirect
164. C4×Q8×C31C2×C4semidirect
181. C4×D4×C31C2×C4semidirect
182. C4×D4×C31C2×C4semidirect
224. C31×#104D4semidirect
361. M16×C31C2×D4semidirect
425. C42×C31C2×D4semidirect
426. #22434C31direct (N × H)
558. D4×M16C2×C31semidirect
559. C2×#421C2×C31semidirect
560. C22×#104C2×C31semidirect
561. #2290C2×C31semidirect
562. #1980C2×C31semidirect
563. #1963C2×C31semidirect
564. #1897C2×C31semidirect
565. #1896C2×C31semidirect
566. #1871C2×C31semidirect
567. #1871C2×C31semidirect
568. #1806C2×C31semidirect
569. #1789C2×C31semidirect
570. #1789C2×C31semidirect
571. #1759C2×C31semidirect
600. C22×C31#421semidirect
627. C22×M16C22×C31semidirect
628. C22×M16C22×C31semidirect
629. #550C4×C31semidirect
630. D4×Q8C4×C31semidirect
631. #548C4×C31semidirect
632. #548C4×C31semidirect
634. #547C4×C31semidirect
637. #546C4×C31semidirect
638. #546C4×C31semidirect
640. D42C4×C31semidirect
650. C2×#117C22×C31semidirect
651. C22×C42C22×C31semidirect
656. #423C22×C31semidirect
663. C2×#104C22×C31semidirect
664. C2×#104C22×C31semidirect
665. C2×#104C22×C31semidirect
666. C2×#104C22×C31semidirect
667. C2×#104C22×C31semidirect
668. C2×#104C22×C31semidirect
669. C2×#104C22×C31semidirect
670. C2×#104C22×C31semidirect
671. #407C22×C31semidirect
672. #407C22×C31semidirect
673. C4×M16C22×C31semidirect
678. C4×C4⋊C4C22×C31semidirect
679. C4×C22⋊C4C22×C31semidirect
680. C4×C22⋊C4C22×C31semidirect
681. #376C22×C31semidirect
682. #339C22×C31semidirect
683. #339C22×C31semidirect
684. #339C22×C31semidirect
685. #339C22×C31semidirect
712. C2×#41C2×C4×C31semidirect
713. C2×#41C2×C4×C31semidirect
718. C22×Q8C2×C4×C31semidirect
723. C22×D4C2×C4×C31semidirect
743. C4⋊Q8C2×C4×C31semidirect
745. #127C2×C4×C31semidirect
748. #124C2×C4×C31semidirect
749. #124C2×C4×C31semidirect
762. C22⋊Q8C2×C4×C31semidirect
763. C22⋊Q8C2×C4×C31semidirect
776. #121C2×C4×C31semidirect
777. #121C2×C4×C31semidirect
784. C4×Q8C2×C4×C31semidirect
785. C4×Q8C2×C4×C31semidirect
802. C4×D4C2×C4×C31semidirect
803. C4×D4C2×C4×C31semidirect
845. #104D4×C31semidirect
857. C31#22434direct (N × H)
983. M16C2×D4×C31semidirect
1047. C42C2×D4×C31semidirect
1206. C22C31×#421semidirect

Maximal subgroups

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

subgroupindex
D4×#41×C312
D4×M16×C312
C2×C31×#4212
C22×C31×#1042
C31×#22902
C31×#19802
C31×#19632
C31×#18972
C31×#18962
C31×#18712
C31×#18062
C31×#17892
C31×#17592
#2243431