Finite Group Databasebeta

← #33968587

Subgroups — #33968587

Order 18688.

1882 conjugacy classes of subgroups.

The subgroup lattice has 1726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623976C211yesmaximal, characteristic, complemented
2#22623967C211yesmaximal, characteristic, complemented
3#22622914C211yesmaximal, characteristic, complemented
4#22622781C211yesmaximal, characteristic, complemented
5#22622650C211yesmaximal, characteristic, complemented
6#22622646C211yesmaximal, characteristic, complemented
7#22622319C211yesmaximal, characteristic, complemented
8#22622318C211yesmaximal, characteristic, complemented
9#22622273C211yesmaximal, characteristic, complemented
10#22622232C211yesmaximal, characteristic, complemented
11#22622231C211yesmaximal, characteristic, complemented
12#22622018C211yesmaximal, characteristic, complemented
13#22622014C211yesmaximal, characteristic, complemented
14#22622008C211yesmaximal, characteristic, complemented
15#22621646C211yesmaximal, characteristic, complemented
16#22621612C211yesmaximal, characteristic, complemented
17#22621609C211yesmaximal, characteristic, complemented
18#22620569C211yesmaximal, characteristic, complemented
19#22620565C211yesmaximal, characteristic, complemented
20#22620512C211yesmaximal, characteristic, complemented
21#22620198C211yesmaximal, characteristic, complemented
22#22620194C211yesmaximal, characteristic, complemented
23#22620192C211yesmaximal, characteristic, complemented
24#22620188C211yesmaximal, characteristic, complemented
25#22620027C211yesmaximal, characteristic, complemented
26#22620025C211yesmaximal, characteristic, complemented
27#22618901C211yesmaximal, characteristic, complemented
28#22618803C211yesmaximal, characteristic, complemented
29#22618802C211yesmaximal, characteristic, complemented
30C2×#17988667C211yesmaximal, characteristic, complemented
31C73×#3314C211yesmaximal, characteristic, complemented
32C2×#14556612C2211yescharacteristic
33C2×#14556611C2211yescharacteristic
34C22×#11924013C2211yescharacteristic
35#17989309C2211yescharacteristic, complemented
36#17989306C2211yescharacteristic, complemented
37#17989295C2211yescharacteristic
38#17989294C2211yescharacteristic
39#17989292C2211yescharacteristic
40#17989274—21no—
41#17989269—21no—
42#17989268—21no—
43#17989266—21no—
44#17989264—21no—
45#17989263—21no—
46D4×Dic146C2211yescharacteristic, complemented
47#17989252C2211yescharacteristic, complemented
48#17989247—21no—
49#17989243—21no—
50#17989239C2211yescharacteristic, complemented
51#17989238C2211yescharacteristic, complemented
52#17989237C2211yescharacteristic, complemented
53#17989236C2211yescharacteristic, complemented
54#17989233C2211yescharacteristic
55#17989231C2211yescharacteristic
56#17989228C2211yescharacteristic
57#17989211C2211yescharacteristic, complemented
58#17989210C2211yescharacteristic, complemented
59#17989206C2211yescharacteristic, complemented
60#17989204C2211yescharacteristic, complemented
61#17989185—21no—
62#17989183—21no—
63#17989182—21no—
64#17989181—21no—
65#17989139C2211yescharacteristic
66#17989139C2211yescharacteristic
67#17989117C2211yescharacteristic
68#17989096—21no—
69#17989093—21no—
70C2×#14556568—21no—
71C22⋊Q8×D73—21no—
72#17989070C2211yescharacteristic, complemented
73#17989069C2211yescharacteristic, complemented
74#17989068C2211yescharacteristic, complemented
75#17989066C2211yescharacteristic, complemented
76C2×D4×Dic73C2211yescharacteristic
77C2×#14556553C2211yescharacteristic
78#17988991C2211yescharacteristic, complemented
79#17988991C2211yescharacteristic, complemented
80#17988990C2211yescharacteristic, complemented
81#17988969C2211yescharacteristic
82#17988968C2211yescharacteristic
83#17988965C2211yescharacteristic, complemented
84#17988948C2211yescharacteristic, complemented
85#17988947C2211yescharacteristic, complemented
86#17988945C2211yescharacteristic, complemented
87#17988936C2211yescharacteristic, complemented
88#17988936C2211yescharacteristic, complemented
89#17988924C2211yescharacteristic, complemented
90#17988923C2211yescharacteristic
91#17988922C2211yescharacteristic
92#17988922C2211yescharacteristic, complemented
93#17988921C2211yescharacteristic, complemented
94#17988920C2211yescharacteristic
95#17988920C2211yescharacteristic, complemented
96#17988902C2211yescharacteristic, complemented
97#17988901C2211yescharacteristic, complemented
98#17988899C2211yescharacteristic, complemented
99#17988882C2211yescharacteristic, complemented
100#17988881C2211yescharacteristic, complemented
101#17988880C2211yescharacteristic, complemented
102#17988879C2211yescharacteristic, complemented
103#17988868C2211yescharacteristic, complemented
104#17988866C2211yescharacteristic, complemented
105#17988866C2211yescharacteristic, complemented
106#17988866C2211yescharacteristic, complemented
107#17988865C2211yescharacteristic, complemented
108#17988865C2211yescharacteristic, complemented
109#17988865C2211yescharacteristic, complemented
110#17988836C2211yescharacteristic, complemented
111#17988833C2211yescharacteristic, complemented
112#17988832C2211yescharacteristic, complemented
113#17988828C2211yescharacteristic
114#17988827C2211yescharacteristic, complemented
115#17988826C2211yescharacteristic
116#17988826C2211yescharacteristic
117#17988826C2211yescharacteristic, complemented
118#17988822C2211yescharacteristic
119#17988821C2211yescharacteristic
120#17988811C2211yescharacteristic, complemented
121#17988810C2211yescharacteristic, complemented
122#17988808C2211yescharacteristic, complemented
123#17988804C2211yescharacteristic
124#17988802C2211yescharacteristic
125#17988801C2211yescharacteristic
126#17988799C2211yescharacteristic
127#17988791C2211yescharacteristic, complemented
128#17988791C2211yescharacteristic, complemented
129#17988790C2211yescharacteristic, complemented
130#17988790C2211yescharacteristic, complemented
131#17988751C2211yescharacteristic, complemented
132#17988750C2211yescharacteristic, complemented
133#17988748C2211yescharacteristic, complemented
134#17988740C2211yescharacteristic
135#17988738C2211yescharacteristic
136#17988737C2211yescharacteristic
137#17988733C2211yescharacteristic
138#17988732C2211yescharacteristic
139#17988731C2211yescharacteristic
140#17988730C2211yescharacteristic
141#17988715C2211yescharacteristic, complemented
142#17988711C2211yescharacteristic, complemented
143#17988690C2211yescharacteristic, complemented
144#17988690C2211yescharacteristic, complemented
145#17988690C2211yescharacteristic, complemented
146#17988689C2211yescharacteristic, complemented
147#17988688C2211yescharacteristic, complemented
148#17988688C2211yescharacteristic, complemented
149#17988686C2211yescharacteristic, complemented
150#17988686C2211yescharacteristic, complemented
151#17988684C2211yescharacteristic, complemented
152#17988684C2211yescharacteristic, complemented
153#17988684C2211yescharacteristic, complemented
154Q16×Dic73C2211yescharacteristic, complemented
155#17988681C2211yescharacteristic, complemented
156C4×#11924018C2211yescharacteristic, complemented
157#17988679C2211yescharacteristic, complemented
158#17988679C2211yescharacteristic, complemented
159#17988679C2211yescharacteristic, complemented
160C4×#11924013C2211yescharacteristic
161#17988667C2211yescharacteristic
162#17988667C2211yescharacteristic
163#17988667C2211yescharacteristic
164#17988667C2211yescharacteristic
165#17988667C2211yescharacteristic
166#17988667C2211yescharacteristic
167#17988667C2211yescharacteristic
168#17988667C2211yescharacteristic
169#17988667C2211yescharacteristic
170#17988663C2211yescharacteristic, complemented
171#17988658C2211yescharacteristic
172D4×#10596831C2211yescharacteristic
173#17988650C2211yescharacteristic
174#17988650C2211yescharacteristic, complemented
175#17988647C2211yescharacteristic, complemented
176#17988645C2211yescharacteristic, complemented
177#17988641C2211yescharacteristic
178C2×#14556524C2211yescharacteristic
179C2×#14556524C2211yescharacteristic, complemented
180#107×D73C2211yescharacteristic, complemented
181#17988589C2211yescharacteristic, complemented
182#17988587C2211yescharacteristic, complemented
183#17988585C2211yescharacteristic, complemented
184C2×#14556513C2211yescharacteristic
185#17988545C2211yescharacteristic, complemented
186#17988544C2211yescharacteristic, complemented
187C2×C8×Dic73C2211yescharacteristic
188#554×C73C2211yescharacteristic
189#546×C73C2211yescharacteristic
190#489×C73C2211yescharacteristic, complemented
191#484×C73C2211yescharacteristic
192#480×C73C2211yescharacteristic, complemented
193#474×C73C2211yescharacteristic, complemented
194#468×C73C2211yescharacteristic, complemented
195#467×C73C2211yescharacteristic
196#464×C73C2211yescharacteristic, complemented
197#452×C73C2211yescharacteristic, complemented
198#450×C73C2211yescharacteristic
199#440×C73C2211yescharacteristic, complemented
200#435×C73C2211yescharacteristic
201#417×C73C2211yescharacteristic, complemented
202C2×#102×C73C2211yescharacteristic
203C2×#11924029C2311yescharacteristic
204C2×#11924028—21no—
205C2×#11924028C2311yescharacteristic
206C2×#11924027—21no—
207C2×#11924027C2311yescharacteristic
208C22×Dic146—21no—
209C2×Q8×D73—21no—
210C22×D292C2311yescharacteristic
211C23×Dic73—21no—
212C22×C4×D73—21no—
213#14556612—24no—
214#14556611—24no—
215C2×Dic292C2311yescharacteristic
216C2×#11924018C2311yescharacteristic
217C2×#11924018C2311yescharacteristic
218C2×#11924017C2311yescharacteristic
219C2×#11924017C2311yescharacteristic
220C2×#11924016C2311yescharacteristic
221C2×#11924016C2311yescharacteristic
222C2×#11924015C2311yescharacteristic
223C2×#11924015C2311yescharacteristic
224C2×#11924013—24no—
225C2×#11924013C2311yescharacteristic
226C2×#11924013C2311yescharacteristic
227C2×#11924013C2311yescharacteristic
228C2×#11924013C2311yescharacteristic
229C2×#11924011C2311yescharacteristic
230C22×#10596831C2311yescharacteristic
231C22×#10596831C2311yescharacteristic
232C2×C8×D73C2311yescharacteristic
233#14556591C2311yescharacteristic
234#14556590C2311yescharacteristic
235#14556590C2311yescharacteristic
236#14556590C2311yescharacteristic
237#14556590C2311yescharacteristic
238#14556589C2311yescharacteristic
239#14556589C2311yescharacteristic
240#14556586—21no—
241#14556586—21no—
242#14556586—21no—
243#14556586D411yescharacteristic
244#14556585—21no—
245#14556584—21no—
246#14556584—21no—
247#14556584—21no—
248#14556584—21no—
249#14556584D411yescharacteristic
250#14556582—21no—
251#14556581—21no—
252#14556581—21no—
253#14556581—21no—
254#14556581—21no—
255#14556581D411yescharacteristic
256#14556580—21no—
257#14556580C2311yescharacteristic
258#14556579C2311yescharacteristic
259#14556578—21no—
260#14556578C2311yescharacteristic
261#14556577—21no—
262#14556577—21no—
263#14556577D411yescharacteristic
264#14556576—21no—
265#14556576—21no—
266#14556576—21no—
267#14556576—21no—
268#14556576—21no—
269#14556575—21no—
270#14556575D411yescharacteristic
271#14556574—21no—
272#14556574—21no—
273#14556573—21no—
274#14556573—21no—
275#14556573—21no—
276#14556572—21no—
277#14556572—21no—
278#14556572—21no—
279#14556572—21no—
280#14556572D411yescharacteristic
281#14556571—21no—
282#14556571—21no—
283#14556571C2311yescharacteristic
284#14556570—21no—
285#14556570—21no—
286#14556570C2311yescharacteristic
287#14556570C2311yescharacteristic
288#14556570C2311yescharacteristic
289#14556569—21no—
290#14556569—21no—
291#14556569—21no—
292#14556569—21no—
293#14556569—21no—
294#14556568—21no—
295#14556568—21no—
296#14556568—21no—
297#14556568—21no—
298#14556568—21no—
299#14556568—21no—
300#14556568—21no—
301#14556568—21no—
302#14556568—21no—
303#14556568—21no—
304#14556568—21no—
305#14556568D411yescharacteristic
306#14556567—21no—
307#14556567—21no—
308#14556567C2311yescharacteristic
309#14556566—21no—
310#14556566C2311yescharacteristic
311#14556565C2311yescharacteristic
312#14556564—21no—
313#14556564—21no—
314#14556563—21no—
315#14556563—21no—
316#14556563D411yescharacteristic
317#14556562C2311yescharacteristic
318#14556561—21no—
319#14556560—21no—
320#14556559—21no—
321Q8×Dic73C2311yescharacteristic
322Q8×Dic73C2311yescharacteristic
323Q8×Dic73C2311yescharacteristic
324C4×Dic146C2311yescharacteristic
325C4×Dic146C2311yescharacteristic
326#14556556—21no—
327#14556556—21no—
328#14556556C2311yescharacteristic
329#14556556C2311yescharacteristic
330#14556556C2311yescharacteristic
331C4×D292—21no—
332C4×D292C2311yescharacteristic
333D4×Dic73—21no—
334D4×Dic73—21no—
335D4×Dic73—21no—
336D4×Dic73—21no—
337D4×Dic73—21no—
338D4×Dic73C2311yescharacteristic
339D4×Dic73C2311yescharacteristic
340D4×Dic73C2311yescharacteristic
341D4×Dic73C2311yescharacteristic
342D4×Dic73C2311yescharacteristic
343#14556553—21no—
344#14556553—21no—
345#14556553—21no—
346#14556553C2311yescharacteristic
347#14556553C2311yescharacteristic
348#14556553C2311yescharacteristic
349#14556553C2311yescharacteristic
350#14556553C2311yescharacteristic
351C4×C22⋊D73—21no—
352C4×C22⋊D73—21no—
353C4×C22⋊D73—21no—
354C4×C22⋊D73—21no—
355C4×C22⋊D73C2311yescharacteristic
356C4×C22⋊D73C2311yescharacteristic
357#14556551—21no—
358#14556551—21no—
359#14556550—21no—
360#14556550C2311yescharacteristic
361#14556549—21no—
362#14556548—21no—
363#14556548—21no—
364#14556548C2311yescharacteristic
365#14556547—21no—
366#14556547—21no—
367#14556547—21no—
368#14556547—21no—
369C2×C4⋊Dic73—21no—
370C2×C4⋊Dic73C2311yescharacteristic
371C2×C4⋊Dic73C2311yescharacteristic
372C2×#11924007—21no—
373C2×#11924007—21no—
374C4⋊C4×D73—21no—
375C4⋊C4×D73—21no—
376C4⋊C4×D73—21no—
377C4⋊C4×D73C2311yescharacteristic
378C4⋊C4×D73C2311yescharacteristic
379C2×C22⋊Dic73—21no—
380C2×C22⋊Dic73—21no—
381C2×#11924005—21no—
382C22⋊C4×D73—21no—
383C22⋊C4×D73—21no—
384C2×C4×Dic73C2311yescharacteristic
385#14556525C2311yescharacteristic
386#14556525C2311yescharacteristic
387#14556525C2311yescharacteristic
388#14556524C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556524C2311yescharacteristic
391#14556524C2311yescharacteristic
392#14556524C2311yescharacteristic
393#14556524C2311yescharacteristic
394#14556524C2311yescharacteristic
395#14556524C2311yescharacteristic
396#14556524C2311yescharacteristic
397#14556524C2311yescharacteristic
398C4⋊#10596831C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556516C2311yescharacteristic
404#14556516C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556515C2311yescharacteristic
408#14556515C2311yescharacteristic
409#14556515C2311yescharacteristic
410#14556515C2311yescharacteristic
411#14556514C2311yescharacteristic
412#14556514C2311yescharacteristic
413#14556514C2311yescharacteristic
414#14556514C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425C22⋊#10596831C2311yescharacteristic
426C22⋊#10596831C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556501C2311yescharacteristic
430#14556501C2311yescharacteristic
431#14556501C2311yescharacteristic
432C4×#10596831C2311yescharacteristic
433C8×Dic73C2311yescharacteristic
434C8×Dic73C2311yescharacteristic
435C8×Dic73C2311yescharacteristic
436C8×Dic73C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C2×#41×C73C2311yescharacteristic
439C22×D4×C73C2311yescharacteristic
440C2×Q16×C73C2311yescharacteristic
441C2×SD16×C73C2311yescharacteristic
442C2×SD16×C73C2311yescharacteristic
443C2×M16×C73C2311yescharacteristic
444C22×C8×C73C2311yescharacteristic
445C4⋊Q8×C73C2311yescharacteristic
446#125×C73—21no—
447#124×C73C2311yescharacteristic
448#123×C73—21no—
449C22⋊Q8×C73—21no—
450C22⋊Q8×C73—21no—
451C22⋊Q8×C73C2311yescharacteristic
452C22⋊Q8×C73C2311yescharacteristic
453C22⋊Q8×C73C2311yescharacteristic
454#121×C73—21no—
455#121×C73C2311yescharacteristic
456#120×C73—21no—
457C4×Q8×C73C2311yescharacteristic
458C4×D4×C73—21no—
459C4×D4×C73C2311yescharacteristic
460C4×D4×C73C2311yescharacteristic
461C2×C4⋊C4×C73C2311yescharacteristic
462C2×C4⋊C4×C73C2311yescharacteristic
463C2×C22⋊C4×C73—21no—
464#107×C73C2311yescharacteristic
465#107×C73C2311yescharacteristic
466#107×C73C2311yescharacteristic
467C4⋊C8×C73C2311yescharacteristic
468#103×C73C2311yescharacteristic
469#103×C73C2311yescharacteristic
470#103×C73C2311yescharacteristic
471#103×C73C2311yescharacteristic
472#102×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478C22⋊C8×C73C2311yescharacteristic
479C22⋊C8×C73C2311yescharacteristic
480#97×C73C2311yescharacteristic
481C23×D73—21no—
482#11924029—22no—
483#11924029—41no—
484#11924028—22no—
485#11924028—41no—
486#11924028—82no—
487#11924027—22no—
488#11924027—41no—
489#11924027—82no—
490C2×Dic146—21no—
491C2×Dic146—21no—
492C2×Dic146—21no—
493C2×Dic146—21no—
494C2×Dic146—21no—
495C2×Dic146—82no—
496C2×Dic146C2×D411yescharacteristic
497C2×Dic146C2411yescharacteristic
498C2×Dic146C2411yescharacteristic
499Q8×D73—82no—
500C2×D292—22no—
501C2×D292—21no—
502C2×D292—21no—
503C2×D292—21no—
504C2×D292—41no—
505C2×D292C2411yescharacteristic
506C2×D292C2411yescharacteristic
507C2×C22⋊D73—21no—
508C2×C22⋊D73—21no—
509C2×C22⋊D73—21no—
510C2×C22⋊D73—21no—
511C2×C22⋊D73C2×D411yescharacteristic
512C2×C22⋊D73C2×D411yescharacteristic
513C22×Dic73—21no—
514C22×Dic73—21no—
515C22×Dic73—21no—
516C22×Dic73—21no—
517C22×Dic73—21no—
518C22×Dic73—21no—
519C22×Dic73—21no—
520C22×Dic73—21no—
521C22×Dic73—82no—
522C22×Dic73C2×D411yescharacteristic
523C22×Dic73C2×D411yescharacteristic
524C2×C4×D73—21no—
525C2×C4×D73—21no—
526C2×C4×D73—21no—
527C2×C4×D73—21no—
528C2×C4×D73—21no—
529C2×C4×D73—21no—
530C2×C4×D73—21no—
531C2×C4×D73—21no—
532C2×C4×D73—21no—
533C2×C4×D73—21no—
534C2×C4×D73—82no—
535C2×C4×D73C2411yescharacteristic
536Dic292—41no—
537#11924018—22no—
538#11924018—22no—
539#11924017—22no—
540#11924017—41no—
541#11924016—22no—
542#11924016—41no—
543#11924015—22no—
544#11924015—41no—
545#11924013—22no—
546#11924013—22no—
547#11924013—22no—
548#11924013#4114yescomplemented
549#11924011—41no—
550C2×#10596831—22no—
551C2×#10596831—22no—
552C2×#10596831C2411yescharacteristic
553C2×#10596831C2411yescharacteristic
554C2×#10596831C2411yescharacteristic
555C2×#10596831C2411yescharacteristic
556C8×D73—22no—
557C4⋊Dic73—21no—
558C4⋊Dic73—21no—
559C4⋊Dic73—21no—
560C4⋊Dic73—21no—
561C4⋊Dic73—21no—
562C4⋊Dic73—21no—
563C4⋊Dic73—21no—
564C4⋊Dic73C2×D411yescharacteristic
565C4⋊Dic73C2×D411yescharacteristic
566C4⋊Dic73C2×D411yescharacteristic
567C4⋊Dic73C2411yescharacteristic
568C4⋊Dic73C2411yescharacteristic
569C4⋊Dic73C2411yescharacteristic
570C4⋊Dic73C2411yescharacteristic
571#11924007—21no—
572#11924007—21no—
573#11924007—21no—
574#11924007—21no—
575#11924007—21no—
576#11924007—21no—
577#11924007—21no—
578#11924007—21no—
579#11924007—21no—
580#11924007—21no—
581#11924007—21no—
582#11924007—21no—
583#11924007—21no—
584#11924007—21no—
585#11924007—21no—
586#11924007—21no—
587#11924007—21no—
588#11924007—21no—
589#11924007C2×D411yescharacteristic
590#11924007C2×D411yescharacteristic
591#11924007C2×D411yescharacteristic
592#11924007C2×D411yescharacteristic
593#11924007C2×D411yescharacteristic
594#11924007C2×D411yescharacteristic
595C22⋊Dic73—21no—
596C22⋊Dic73—21no—
597C22⋊Dic73—21no—
598C22⋊Dic73—21no—
599C22⋊Dic73—21no—
600C22⋊Dic73—21no—
601C22⋊Dic73—21no—
602C22⋊Dic73—21no—
603C22⋊Dic73—21no—
604C22⋊Dic73—21no—
605C22⋊Dic73—21no—
606C22⋊Dic73C2×D411yescharacteristic
607C22⋊Dic73C2×D411yescharacteristic
608C22⋊Dic73C2×D411yescharacteristic
609C22⋊Dic73C2×D411yescharacteristic
610#11924005—21no—
611#11924005—21no—
612#11924005—21no—
613#11924005—21no—
614#11924005—21no—
615#11924005—21no—
616#11924005—21no—
617#11924005—21no—
618#11924005—21no—
619#11924005—21no—
620#11924005—21no—
621#11924005—21no—
622#11924005—21no—
623#11924005—21no—
624#11924005C2×D411yescharacteristic
625#11924005C2×D411yescharacteristic
626#11924005C2×D411yescharacteristic
627#11924005C2×D411yescharacteristic
628C4×Dic73—21no—
629C4×Dic73—21no—
630C4×Dic73—21no—
631C4×Dic73—21no—
632C4×Dic73—21no—
633C4×Dic73—21no—
634C4×Dic73—21no—
635C4×Dic73C2×D411yescharacteristic
636C4×Dic73C2×D411yescharacteristic
637C4×Dic73C2411yescharacteristic
638C4×Dic73C2411yescharacteristic
639C4×Dic73C2411yescharacteristic
640C24×C73—21no—
641#41×C73—22no—
642#41×C73—41no—
643C2×Q8×C73—21no—
644C2×Q8×C73C2411yescharacteristic
645C2×Q8×C73C2411yescharacteristic
646C2×D4×C73—22no—
647C2×D4×C73—21no—
648C2×D4×C73—21no—
649C2×D4×C73—21no—
650C2×D4×C73—41no—
651C2×D4×C73C2×D411yescharacteristic
652C2×D4×C73C2411yescharacteristic
653C2×D4×C73C2411yescharacteristic
654C22×C4×C73—21no—
655C22×C4×C73—21no—
656C22×C4×C73—21no—
657C22×C4×C73—21no—
658C22×C4×C73C2411yescharacteristic
659C22×C4×C73C2411yescharacteristic
660Q16×C73—41no—
661SD16×C73—22no—
662SD16×C73—41no—
663M16×C73—41no—
664C2×C8×C73—41no—
665C2×C8×C73C2411yescharacteristic
666C2×C8×C73C2411yescharacteristic
667C2×C8×C73C2411yescharacteristic
668C2×C8×C73C2411yescharacteristic
669C4⋊C4×C73—21no—
670C4⋊C4×C73—21no—
671C4⋊C4×C73—21no—
672C4⋊C4×C73—21no—
673C4⋊C4×C73—21no—
674C4⋊C4×C73—21no—
675C4⋊C4×C73—21no—
676C4⋊C4×C73C2×D411yescharacteristic
677C4⋊C4×C73C2411yescharacteristic
678C4⋊C4×C73C2411yescharacteristic
679C4⋊C4×C73C2411yescharacteristic
680C4⋊C4×C73C2411yescharacteristic
681C22⋊C4×C73—21no—
682C22⋊C4×C73—21no—
683C22⋊C4×C73—21no—
684C22⋊C4×C73—21no—
685C22⋊C4×C73—21no—
686C22⋊C4×C73—21no—
687C22⋊C4×C73—21no—
688C22⋊C4×C73C2×D411yescharacteristic
689C22⋊C4×C73C2×D411yescharacteristic
690C42×C73—21no—
691C42×C73C2411yescharacteristic
692C23×C73—21no—
693C23×C73—21no—
694C23×C73—42no—
695C23×C73—42no—
696C23×C73—81no—
697C23×C73C22×D411yescharacteristic
698C23×C73C22×D411yescharacteristic
699C22×D73—21no—
700C22×D73—21no—
701C22×D73—42no—
702C22×D73—42no—
703C22×D73—81no—
704C22×D73C22×D411yescharacteristic
705Q8×C73—21no—
706Q8×C73—21no—
707Q8×C73—21no—
708Q8×C73—21no—
709Q8×C73—81no—
710D4×C73—22no—
711D4×C73—21no—
712D4×C73—21no—
713D4×C73—21no—
714D4×C73—42no—
715D4×C73—42no—
716D4×C73—81no—
717D4×C73C2×#4112yes—
718C2×C4×C73—21no—
719C2×C4×C73—21no—
720C2×C4×C73—21no—
721C2×C4×C73—21no—
722C2×C4×C73—21no—
723C2×C4×C73—21no—
724C2×C4×C73—21no—
725C2×C4×C73—21no—
726C2×C4×C73—21no—
727C2×C4×C73—21no—
728C2×C4×C73—42no—
729C2×C4×C73—81no—
730C2×C4×C73—81no—
731C2×C4×C73—81no—
732C2×C4×C73C22×D411yescharacteristic
733C2×C4×C73C22×D411yescharacteristic
734C2×C4×C73C22×D411yescharacteristic
735C2×C4×C73C22×D411yescharacteristic
736C2×C4×C73C2511yescharacteristic
737C22⋊D73—22no—
738C22⋊D73—22no—
739C22⋊D73—42no—
740C22⋊D73—42no—
741C22⋊D73—81no—
742C22⋊D73—81no—
743C2×Dic73—22no—
744C2×Dic73—22no—
745C2×Dic73—21no—
746C2×Dic73—21no—
747C2×Dic73—21no—
748C2×Dic73—21no—
749C2×Dic73—21no—
750C2×Dic73—21no—
751C2×Dic73—42no—
752C2×Dic73—42no—
753C2×Dic73—42no—
754C2×Dic73—81no—
755C2×Dic73—81no—
756C2×Dic73—81no—
757C2×Dic73—81no—
758C2×Dic73—81no—
759C2×Dic73C22×D411yescharacteristic
760C2×Dic73C22×D411yescharacteristic
761C2×Dic73C22×D411yescharacteristic
762C2×Dic73C22×D411yescharacteristic
763C2×Dic73C22×D411yescharacteristic
764C2×Dic73C22×D411yescharacteristic
765C2×Dic73C22×D411yescharacteristic
766D292—21no—
767D292—21no—
768D292—21no—
769D292—42no—
770D292—42no—
771D292—81no—
772D292C2×#4112yes—
773C4×D73—21no—
774C4×D73—21no—
775C4×D73—42no—
776C4×D73—42no—
777C4×D73—42no—
778C4×D73—42no—
779C4×D73—81no—
780C4×D73—81no—
781C4×D73—81no—
782C4×D73—81no—
783C4×D73—81no—
784C4×D73—81no—
785Dic146—22no—
786Dic146—21no—
787Dic146—21no—
788Dic146—21no—
789Dic146—21no—
790Dic146—42no—
791Dic146—42no—
792Dic146—81no—
793Dic146—81no—
794Dic146—81no—
795C8×C73—21no—
796C8×C73—21no—
797C8×C73—21no—
798C8×C73—21no—
799#10596831—21no—
800#10596831—21no—
801#10596831—21no—
802#10596831C2×#4112yes—
803C22×C73—21no—
804C22×C73—21no—
805C22×C73—22no—
806C22×C73—21no—
807C22×C73—21no—
808C22×C73—21no—
809C22×C73—41no—
810C22×C73—41no—
811C22×C73—41no—
812C22×C73—41no—
813C22×C73—41no—
814C22×C73—84no—
815C22×C73#57812yes—
816C22×C73C23×D411yescharacteristic
817C2×D73—21no—
818C2×D73—22no—
819C2×D73—21no—
820C2×D73—21no—
821C2×D73—41no—
822C2×D73—41no—
823C2×D73—41no—
824C2×D73—41no—
825C2×D73—41no—
826C2×D73—84no—
827C4×C73—21no—
828C4×C73—21no—
829C4×C73—21no—
830C4×C73—21no—
831C4×C73—41no—
832C4×C73—41no—
833C4×C73—41no—
834C4×C73—41no—
835C4×C73—41no—
836C4×C73—41no—
837C4×C73C22×#4111yescharacteristic
838C4×C73#58511yescharacteristic
839Dic73—21no—
840Dic73—21no—
841Dic73—21no—
842Dic73—21no—
843Dic73—21no—
844Dic73—21no—
845Dic73—41no—
846Dic73—41no—
847Dic73—41no—
848Dic73—41no—
849Dic73—41no—
850Dic73—41no—
851Dic73#57612yes—
852#61482—731nomaximal, Sylow
853C2×C73—22no—
854C2×C73—41no—
855C2×C73—42no—
856C2×C73—81no—
857C2×C73D4×#4111yescharacteristic
858C2×C73C2×#57611yescharacteristic
859C2×C73C2×#57811yescharacteristic
860D73—41no—
861D73—42no—
862D73—81no—
863#3520—731no—
864#3520—731no—
865#3393—731no—
866Q8×D8—731no—
867#3367—731no—
868#3367—731no—
869#3338—731no—
870#3338—731no—
871#3334—731no—
872#3330—731no—
873#3330—731no—
874#3314—731no—
875#3314—731no—
876#3314—731no—
877#3314D7311yescharacteristic, complemented
878#3283—731no—
879#3280—731no—
880#3280—731no—
881#3175—731no—
882#3175—731no—
883#3170—731no—
884#3124—731no—
885#3124—731no—
886#3124—731no—
887#3124—731no—
888#3110—731no—
889#3110—731no—
890#2966—731no—
891#2951—731no—
892#2951—731no—
893C2×C4×D8—731no—
894C73#6148211yescharacteristic, complemented, Sylow
895C2×#135—731no—
896C2×#135—731no—
897C22×D8—731no—
898#556—731no—
899#556—731no—
900#554—731no—
901#554—731no—
902#554—731no—
903#554C2×D7311yescharacteristic
904#552—1461no—
905#552—1461no—
906#551—1461no—
907#551—1461no—
908#551—1461no—
909#551—1461no—
910D4×Q8—731no—
911D4×Q8—731no—
912#548—1461no—
913#548—1461no—
914#547—731no—
915#547—731no—
916#547—731no—
917#547—731no—
918#546—731no—
919#546—731no—
920#546—731no—
921#546C2×D7311yescharacteristic
922#542—731no—
923#542—731no—
924#542—731no—
925#542—731no—
926#539—1461no—
927#539—1461no—
928#539—1461no—
929#539—1461no—
930#533—731no—
931#533—731no—
932#529—731no—
933#525—1461no—
934#525—1461no—
935C2×C22⋊Q8—1461no—
936C2×C22⋊Q8—1461no—
937#520—731no—
938#520—731no—
939#520—731no—
940#520—731no—
941C2×C4×D4—731no—
942C2×C4×D4—731no—
943#500—731no—
944#500—731no—
945#500—731no—
946#495—731no—
947#495—731no—
948#494—731no—
949#489—731no—
950#489—731no—
951#489—731no—
952#489C2×D7311yescharacteristic, complemented
953#487—731no—
954#487—731no—
955#484—731no—
956#484—731no—
957#484—731no—
958#484—731no—
959#484—731no—
960#484—731no—
961#484—731no—
962#484C2×D7311yescharacteristic
963#480—731no—
964#480—731no—
965#480—731no—
966#480C2×D7311yescharacteristic, complemented
967#477—731no—
968#477—731no—
969#477—731no—
970#477—731no—
971#474—731no—
972#474—731no—
973#474—731no—
974#474—731no—
975#474—731no—
976#474—731no—
977#474—731no—
978#474C2×D7311yescharacteristic, complemented
979#468—731no—
980#468—731no—
981#468—731no—
982#468C2×D7311yescharacteristic, complemented
983#467—731no—
984#467—731no—
985#467—731no—
986#467—731no—
987#467—731no—
988#467C2×D7311yescharacteristic
989#466—731no—
990#466—731no—
991#464—731no—
992#464—731no—
993#464—731no—
994#464C2×D7311yescharacteristic, complemented
995#463—731no—
996#463—731no—
997#463—731no—
998#463—731no—
999#461—731no—
1000#461—731no—
1001#461—731no—
1002#461—731no—
1003#452—731no—
1004#452—731no—
1005#452—731no—
1006#452C2×D7311yescharacteristic, complemented
1007#450—731no—
1008#450—731no—
1009#450—731no—
1010#450C2×D7311yescharacteristic
1011#449—731no—
1012#449—731no—
1013#449—731no—
1014#449—731no—
1015#446—731no—
1016C8×Q8—731no—
1017#440—731no—
1018#440—731no—
1019#440—731no—
1020#440—731no—
1021#440—731no—
1022#440—731no—
1023#440—731no—
1024#440—731no—
1025#440—731no—
1026#440—731no—
1027#440—731no—
1028#440C2×D7311yescharacteristic, complemented
1029C4×Q16—731no—
1030C4×Q16—731no—
1031C4×Q16—731no—
1032C4×Q16—731no—
1033C4×Q16—731no—
1034C4×Q16—731no—
1035C4×D8—731no—
1036C4×D8—731no—
1037C4×D8—731no—
1038C4×D8—731no—
1039C4×D8—731no—
1040C4×D8—731no—
1041C4×D8—731no—
1042C4×D8—731no—
1043C4×D8—731no—
1044C4×D8—731no—
1045#436—731no—
1046#435—731no—
1047#435C2×D7311yescharacteristic
1048C8×D4—731no—
1049C8×D4—731no—
1050C8×D4—731no—
1051#433—731no—
1052#433—731no—
1053#432—731no—
1054C2×#107—731no—
1055C2×#107—731no—
1056C2×#107—731no—
1057#417—731no—
1058#417—731no—
1059#417—731no—
1060#417C2×D7311yescharacteristic, complemented
1061C2×#102—731no—
1062C2×#102C2×D7311yescharacteristic
1063#405—731no—
1064#405—731no—
1065C2×C4×C8—731no—
1066C2×#41—731no—
1067C2×#41—731no—
1068C2×#41—731no—
1069C2×#41—1461no—
1070C2×#41—1461no—
1071C2×#41C22×D7311yescharacteristic
1072C22×Q8—1461no—
1073C22×Q8—1461no—
1074C22×D4—731no—
1075C22×D4C22×D7311yescharacteristic
1076C23×C4—1461no—
1077C23×C4—1461no—
1078#135—1464no—
1079#135—1464no—
1080C2×Q16—731no—
1081C2×Q16—731no—
1082C2×Q16—731no—
1083C2×Q16C22×D7311yescharacteristic
1084C2×SD16—731no—
1085C2×SD16—731no—
1086C2×SD16—731no—
1087C2×SD16—731no—
1088C2×SD16—731no—
1089C2×SD16—731no—
1090C2×SD16C22×D7311yescharacteristic
1091C2×SD16C22×D7311yescharacteristic
1092C2×D8—731no—
1093C2×D8—731no—
1094C2×D8—731no—
1095C2×D8—731no—
1096C2×D8—1464no—
1097C2×M16—731no—
1098C2×M16C22×D7311yescharacteristic
1099C22×C8—731no—
1100C22×C8—731no—
1101C22×C8—731no—
1102C22×C8C22×D7311yescharacteristic
1103C4⋊Q8—731no—
1104C4⋊Q8—731no—
1105C4⋊Q8—731no—
1106C4⋊Q8—731no—
1107C4⋊Q8—731no—
1108C4⋊Q8—731no—
1109C4⋊Q8—731no—
1110C4⋊Q8C22×D7311yescharacteristic
1111#126—731no—
1112#126—731no—
1113#126—1461no—
1114#126—1461no—
1115#126—1461no—
1116#126—1461no—
1117#126—1461no—
1118#126—1461no—
1119#126—1461no—
1120#126—1461no—
1121#125—21no—
1122#125—731no—
1123#125—1461no—
1124#125—1461no—
1125#125—1461no—
1126#125—1461no—
1127#125—1461no—
1128#124—731no—
1129#124—731no—
1130#124—731no—
1131#124—731no—
1132#124—1461no—
1133#124—1461no—
1134#124—1461no—
1135#124—1461no—
1136#124C22×D7311yescharacteristic
1137#123—21no—
1138#123—731no—
1139#123—731no—
1140#123—1461no—
1141#123—1461no—
1142#123—1461no—
1143#123—1461no—
1144#123—1461no—
1145#123—1461no—
1146#123—1461no—
1147#123—1461no—
1148#123—1461no—
1149#123—1461no—
1150#123—1461no—
1151#123—1461no—
1152#123—1461no—
1153#123—1461no—
1154#123—1461no—
1155C22⋊Q8—21no—
1156C22⋊Q8—21no—
1157C22⋊Q8—731no—
1158C22⋊Q8—731no—
1159C22⋊Q8—731no—
1160C22⋊Q8—731no—
1161C22⋊Q8—731no—
1162C22⋊Q8—731no—
1163C22⋊Q8—1461no—
1164C22⋊Q8—1461no—
1165C22⋊Q8—1461no—
1166C22⋊Q8—1461no—
1167C22⋊Q8—1461no—
1168C22⋊Q8—1461no—
1169C22⋊Q8—1461no—
1170C22⋊Q8—1461no—
1171C22⋊Q8—1461no—
1172C22⋊Q8—1461no—
1173C22⋊Q8—1461no—
1174C22⋊Q8—1461no—
1175C22⋊Q8—1461no—
1176C22⋊Q8—1461no—
1177C22⋊Q8—1461no—
1178C22⋊Q8—1461no—
1179C22⋊Q8—1461no—
1180C22⋊Q8—1461no—
1181C22⋊Q8—1461no—
1182C22⋊Q8—1461no—
1183C22⋊Q8—1461no—
1184C22⋊Q8—1461no—
1185C22⋊Q8C22×D7311yescharacteristic
1186C22⋊Q8C22×D7311yescharacteristic
1187C22⋊Q8C22×D7311yescharacteristic
1188#121—21no—
1189#121—731no—
1190#121—731no—
1191#121—731no—
1192#121—731no—
1193#121—1461no—
1194#121—1461no—
1195#121—1461no—
1196#121—1461no—
1197#121—1461no—
1198#121C22×D7311yescharacteristic
1199#120—21no—
1200#120—1461no—
1201#120—1461no—
1202#120—1461no—
1203C4×Q8—731no—
1204C4×Q8—731no—
1205C4×Q8—731no—
1206C4×Q8—731no—
1207C4×Q8—731no—
1208C4×Q8—731no—
1209C4×Q8—731no—
1210C4×Q8—731no—
1211C4×Q8—1461no—
1212C4×Q8—1461no—
1213C4×Q8C22×D7311yescharacteristic
1214C4×D4—21no—
1215C4×D4—731no—
1216C4×D4—731no—
1217C4×D4—731no—
1218C4×D4—731no—
1219C4×D4—731no—
1220C4×D4—731no—
1221C4×D4—731no—
1222C4×D4—731no—
1223C4×D4—731no—
1224C4×D4—731no—
1225C4×D4—731no—
1226C4×D4—731no—
1227C4×D4—731no—
1228C4×D4—1461no—
1229C4×D4—1461no—
1230C4×D4—1461no—
1231C4×D4—1461no—
1232C4×D4—1461no—
1233C4×D4—1461no—
1234C4×D4—1461no—
1235C4×D4—1461no—
1236C4×D4—1461no—
1237C4×D4—1461no—
1238C4×D4—1461no—
1239C4×D4—1461no—
1240C4×D4—1461no—
1241C4×D4—1461no—
1242C4×D4—1461no—
1243C4×D4C22×D7311yescharacteristic
1244C4×D4C22×D7311yescharacteristic
1245#117—731no—
1246#117—731no—
1247#117—1461no—
1248#117—1461no—
1249#117—1461no—
1250#117—1461no—
1251#117—1461no—
1252#117—1461no—
1253#117—1461no—
1254#117—1461no—
1255C2×C4⋊C4—731no—
1256C2×C4⋊C4—731no—
1257C2×C4⋊C4—731no—
1258C2×C4⋊C4—731no—
1259C2×C4⋊C4—1461no—
1260C2×C4⋊C4—1461no—
1261C2×C4⋊C4—1461no—
1262C2×C4⋊C4—1461no—
1263C2×C4⋊C4—1461no—
1264C2×C4⋊C4—1461no—
1265C2×C4⋊C4C22×D7311yescharacteristic
1266C2×C4⋊C4C22×D7311yescharacteristic
1267C2×C22⋊C4—21no—
1268C2×C22⋊C4—1461no—
1269C2×C22⋊C4—1461no—
1270C2×C22⋊C4—1461no—
1271C2×C22⋊C4—1461no—
1272C2×C22⋊C4—1461no—
1273C2×C42—731no—
1274#107—731no—
1275#107—731no—
1276#107—731no—
1277#107—731no—
1278#107—731no—
1279#107—731no—
1280#107—731no—
1281#107—731no—
1282#107—731no—
1283#107—731no—
1284#107—731no—
1285#107—731no—
1286#107—731no—
1287#107C22×D7311yescharacteristic
1288#107C22×D7311yescharacteristic
1289#107C22×D7311yescharacteristic
1290C4⋊C8—731no—
1291C4⋊C8—731no—
1292C4⋊C8—731no—
1293C4⋊C8—731no—
1294C4⋊C8—731no—
1295C4⋊C8C22×D7311yescharacteristic
1296#103—731no—
1297#103—731no—
1298#103—731no—
1299#103—731no—
1300#103—731no—
1301#103—731no—
1302#103—731no—
1303#103—731no—
1304#103—731no—
1305#103—731no—
1306#103—731no—
1307#103—731no—
1308#103C22×D7311yescharacteristic
1309#103C22×D7311yescharacteristic
1310#103C22×D7311yescharacteristic
1311#103C22×D7311yescharacteristic
1312#102—731no—
1313#102—731no—
1314#102—731no—
1315#102—731no—
1316#102—731no—
1317#102—731no—
1318#102—731no—
1319#102—731no—
1320#102—731no—
1321#102—731no—
1322#102C22×D7311yescharacteristic
1323#102C22×D7311yescharacteristic
1324#102C22×D7311yescharacteristic
1325#102C22×D7311yescharacteristic
1326#102C22×D7311yescharacteristic
1327#102C22×D7311yescharacteristic
1328C22⋊C8—731no—
1329C22⋊C8—731no—
1330C22⋊C8—731no—
1331C22⋊C8—731no—
1332C22⋊C8C22×D7311yescharacteristic
1333C22⋊C8C22×D7311yescharacteristic
1334#97—731no—
1335#97—731no—
1336#97—731no—
1337#97C22×D7311yescharacteristic
1338C4×C8—731no—
1339C4×C8—731no—
1340C4×C8—731no—
1341C4×C8—731no—
1342C4×C8—731no—
1343C4×C8—731no—
1344C24—21no—
1345C24—1461no—
1346#41—22no—
1347#41—41no—
1348#41—2921no—
1349#41—2921no—
1350#41—2921no—
1351#41—5842no—
1352#41—5842no—
1353#41—1462no—
1354#41—1462no—
1355#41—1462no—
1356C2×Q8—21no—
1357C2×Q8—5842no—
1358C2×Q8—5842no—
1359C2×Q8—731no—
1360C2×Q8—731no—
1361C2×Q8—731no—
1362C2×Q8—1461no—
1363C2×Q8—1461no—
1364C2×Q8—1461no—
1365C2×Q8—1461no—
1366C2×Q8—1461no—
1367C2×Q8C23×D7311yescharacteristic
1368C2×Q8C23×D7311yescharacteristic
1369C2×D4—22no—
1370C2×D4—21no—
1371C2×D4—21no—
1372C2×D4—21no—
1373C2×D4—41no—
1374C2×D4—2921no—
1375C2×D4—731no—
1376C2×D4—731no—
1377C2×D4—731no—
1378C2×D4—731no—
1379C2×D4—1461no—
1380C2×D4—1462no—
1381C2×D4—1461no—
1382C2×D4—1461no—
1383C2×D4—1461no—
1384C2×D4—1461no—
1385C2×D4—1461no—
1386C2×D4—1461no—
1387C2×D4D4×D7311yescharacteristic
1388C2×D4C23×D7311yescharacteristic
1389C2×D4C23×D7311yescharacteristic
1390C22×C4—21no—
1391C22×C4—21no—
1392C22×C4—21no—
1393C22×C4—21no—
1394C22×C4—5842no—
1395C22×C4—5842no—
1396C22×C4—731no—
1397C22×C4—731no—
1398C22×C4—731no—
1399C22×C4—1461no—
1400C22×C4—1461no—
1401C22×C4—1461no—
1402C22×C4—1461no—
1403C22×C4—1461no—
1404C22×C4—1461no—
1405C22×C4—1461no—
1406C22×C4—1461no—
1407C22×C4—1461no—
1408C22×C4—1461no—
1409C22×C4—1461no—
1410C22×C4—1461no—
1411C22×C4—1461no—
1412C22×C4—1461no—
1413C22×C4—1461no—
1414C22×C4—1461no—
1415C22×C4—1461no—
1416C22×C4—1461no—
1417C22×C4C23×D7311yescharacteristic
1418C22×C4C23×D7311yescharacteristic
1419Q16—41no—
1420Q16—2921no—
1421Q16—1462no—
1422Q16—1462no—
1423SD16—22no—
1424SD16—41no—
1425SD16—2921no—
1426SD16—2921no—
1427SD16—2921no—
1428SD16—1462no—
1429SD16—1462no—
1430SD16—1462no—
1431D8—734no—
1432D8—1462no—
1433D8—1462no—
1434D8—1462no—
1435M16—41no—
1436M16—2921no—
1437C2×C8—41no—
1438C2×C8—731no—
1439C2×C8—731no—
1440C2×C8—731no—
1441C2×C8—731no—
1442C2×C8—1462no—
1443C2×C8—1462no—
1444C2×C8—1462no—
1445C2×C8C23×D7311yescharacteristic
1446C2×C8C23×D7311yescharacteristic
1447C2×C8C23×D7311yescharacteristic
1448C2×C8C23×D7311yescharacteristic
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—21no—
1454C4⋊C4—21no—
1455C4⋊C4—21no—
1456C4⋊C4—731no—
1457C4⋊C4—731no—
1458C4⋊C4—731no—
1459C4⋊C4—731no—
1460C4⋊C4—731no—
1461C4⋊C4—731no—
1462C4⋊C4—731no—
1463C4⋊C4—731no—
1464C4⋊C4—731no—
1465C4⋊C4—731no—
1466C4⋊C4—731no—
1467C4⋊C4—731no—
1468C4⋊C4—731no—
1469C4⋊C4—1461no—
1470C4⋊C4—1461no—
1471C4⋊C4—1461no—
1472C4⋊C4—1461no—
1473C4⋊C4—1461no—
1474C4⋊C4—1461no—
1475C4⋊C4—1461no—
1476C4⋊C4—1461no—
1477C4⋊C4—1461no—
1478C4⋊C4—1461no—
1479C4⋊C4—1461no—
1480C4⋊C4—1461no—
1481C4⋊C4—1461no—
1482C4⋊C4—1461no—
1483C4⋊C4—1461no—
1484C4⋊C4—1461no—
1485C4⋊C4—1461no—
1486C4⋊C4—1461no—
1487C4⋊C4—1461no—
1488C4⋊C4—1461no—
1489C4⋊C4—1461no—
1490C4⋊C4—1461no—
1491C4⋊C4—1461no—
1492C4⋊C4—1461no—
1493C4⋊C4—1461no—
1494C4⋊C4D4×D7311yescharacteristic
1495C4⋊C4C23×D7311yescharacteristic
1496C4⋊C4C23×D7311yescharacteristic
1497C4⋊C4C23×D7311yescharacteristic
1498C4⋊C4C23×D7311yescharacteristic
1499C22⋊C4—21no—
1500C22⋊C4—21no—
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—731no—
1507C22⋊C4—731no—
1508C22⋊C4—731no—
1509C22⋊C4—731no—
1510C22⋊C4—731no—
1511C22⋊C4—731no—
1512C22⋊C4—731no—
1513C22⋊C4—731no—
1514C22⋊C4—1461no—
1515C22⋊C4—1461no—
1516C22⋊C4—1461no—
1517C22⋊C4—1461no—
1518C22⋊C4—1461no—
1519C22⋊C4—1461no—
1520C22⋊C4—1461no—
1521C22⋊C4—1461no—
1522C22⋊C4—1461no—
1523C22⋊C4—1461no—
1524C22⋊C4—1461no—
1525C22⋊C4—1461no—
1526C22⋊C4—1461no—
1527C22⋊C4—1461no—
1528C22⋊C4—1461no—
1529C22⋊C4—1461no—
1530C22⋊C4—1461no—
1531C22⋊C4—1461no—
1532C22⋊C4—1461no—
1533C22⋊C4—1461no—
1534C22⋊C4—1461no—
1535C22⋊C4—1461no—
1536C22⋊C4—1461no—
1537C22⋊C4—1461no—
1538C22⋊C4—1461no—
1539C22⋊C4D4×D7311yescharacteristic
1540C22⋊C4D4×D7311yescharacteristic
1541C42—21no—
1542C42—731no—
1543C42—731no—
1544C42—731no—
1545C42—731no—
1546C42—731no—
1547C42—1461no—
1548C42—1461no—
1549C42—1461no—
1550C42—1461no—
1551C42—1461no—
1552C42—1461no—
1553C42—1461no—
1554C42C23×D7311yescharacteristic
1555C23—21no—
1556C23—21no—
1557C23—42no—
1558C23—42no—
1559C23—81no—
1560C23—2922no—
1561C23—2922no—
1562C23—5841no—
1563C23—731no—
1564C23—1461no—
1565C23—1461no—
1566C23C2×D4×D7311yescharacteristic
1567C23C2×D4×D7311yescharacteristic
1568Q8—21no—
1569Q8—21no—
1570Q8—21no—
1571Q8—21no—
1572Q8—81no—
1573Q8—2922no—
1574Q8—2922no—
1575Q8—5841no—
1576Q8—5841no—
1577Q8—5841no—
1578Q8—1462no—
1579Q8—1461no—
1580Q8—1461no—
1581Q8—1461no—
1582Q8—1461no—
1583D4—22no—
1584D4—21no—
1585D4—21no—
1586D4—21no—
1587D4—42no—
1588D4—42no—
1589D4—81no—
1590D4—2922no—
1591D4—2922no—
1592D4—2922no—
1593D4—2922no—
1594D4—5841no—
1595D4—5841no—
1596D4—5841no—
1597D4—732no—
1598D4—1462no—
1599D4—1462no—
1600D4—1461no—
1601D4—1461no—
1602D4—1461no—
1603D4#41×D7312yes—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—42no—
1615C2×C4—81no—
1616C2×C4—81no—
1617C2×C4—81no—
1618C2×C4—2922no—
1619C2×C4—2922no—
1620C2×C4—2922no—
1621C2×C4—2922no—
1622C2×C4—2922no—
1623C2×C4—2922no—
1624C2×C4—2922no—
1625C2×C4—5841no—
1626C2×C4—5841no—
1627C2×C4—5841no—
1628C2×C4—5841no—
1629C2×C4—5841no—
1630C2×C4—5841no—
1631C2×C4—5841no—
1632C2×C4—5841no—
1633C2×C4—5841no—
1634C2×C4—5841no—
1635C2×C4—5841no—
1636C2×C4—731no—
1637C2×C4—731no—
1638C2×C4—731no—
1639C2×C4—731no—
1640C2×C4—731no—
1641C2×C4—731no—
1642C2×C4—731no—
1643C2×C4—1461no—
1644C2×C4—1461no—
1645C2×C4—1461no—
1646C2×C4—1461no—
1647C2×C4—1461no—
1648C2×C4—1461no—
1649C2×C4—1462no—
1650C2×C4—1462no—
1651C2×C4—1461no—
1652C2×C4—1461no—
1653C2×C4C2×D4×D7311yescharacteristic
1654C2×C4C2×D4×D7311yescharacteristic
1655C2×C4C2×D4×D7311yescharacteristic
1656C2×C4C2×D4×D7311yescharacteristic
1657C2×C4C24×D7311yescharacteristic
1658C8—21no—
1659C8—21no—
1660C8—21no—
1661C8—21no—
1662C8—732no—
1663C8—1461no—
1664C8—1461no—
1665C8—1461no—
1666C22—21no—
1667C22—21no—
1668C22—21no—
1669C22—21no—
1670C22—22no—
1671C22—21no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—84no—
1678C22—2921no—
1679C22—2921no—
1680C22—2921no—
1681C22—2921no—
1682C22—2921no—
1683C22—5844no—
1684C22—1461no—
1685C22—1462no—
1686C22—1461no—
1687C22—1461no—
1688C22#1798940312yes—
1689C22C22×D4×D7311yescharacteristic
1690C4—21no—
1691C4—21no—
1692C4—21no—
1693C4—21no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4—41no—
1699C4—41no—
1700C4—2921no—
1701C4—2921no—
1702C4—2921no—
1703C4—2921no—
1704C4—2921no—
1705C4—2921no—
1706C4—732no—
1707C4—1461no—
1708C4—1461no—
1709C4—1461no—
1710C4—1461no—
1711C4—1461no—
1712C4—1461no—
1713C4C2×#41×D7311yescharacteristic
1714C4#1798942211yescharacteristic
1715C2—22no—
1716C2—41no—
1717C2—42no—
1718C2—81no—
1719C2—2922no—
1720C2—2921no—
1721C2—5841no—
1722C2#2262341511yescharacteristic
1723C2#576×D7311yescharacteristic
1724C2C2×#1798940311yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3314C2
socleC22×C73C23×D4
hypercenter#3314D73
hypocenterC73#61482
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3314

Complements

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

NH ≅ G/Ntype
1. #22623976C2semidirect
2. #22623967C2semidirect
3. #22622914C2semidirect
4. #22622781C2semidirect
5. #22622650C2semidirect
6. #22622646C2semidirect
7. #22622319C2semidirect
8. #22622318C2semidirect
9. #22622273C2semidirect
10. #22622232C2semidirect
11. #22622231C2semidirect
12. #22622018C2semidirect
13. #22622014C2semidirect
14. #22622008C2semidirect
15. #22621646C2semidirect
16. #22621612C2semidirect
17. #22621609C2semidirect
18. #22620569C2semidirect
19. #22620565C2semidirect
20. #22620512C2semidirect
21. #22620198C2semidirect
22. #22620194C2semidirect
23. #22620192C2semidirect
24. #22620188C2semidirect
25. #22620027C2semidirect
26. #22620025C2semidirect
27. #22618901C2semidirect
28. #22618803C2semidirect
29. #22618802C2semidirect
30. C2×#17988667C2semidirect
31. C73×#3314C2semidirect
35. #17989309C22semidirect
36. #17989306C22semidirect
46. D4×Dic146C22semidirect
47. #17989252C22semidirect
50. #17989239C22semidirect
51. #17989238C22semidirect
52. #17989237C22semidirect
53. #17989236C22semidirect
57. #17989211C22semidirect
58. #17989210C22semidirect
59. #17989206C22semidirect
60. #17989204C22semidirect
72. #17989070C22semidirect
73. #17989069C22semidirect
74. #17989068C22semidirect
75. #17989066C22semidirect
78. #17988991C22semidirect
79. #17988991C22semidirect
80. #17988990C22semidirect
83. #17988965C22semidirect
84. #17988948C22semidirect
85. #17988947C22semidirect
86. #17988945C22semidirect
87. #17988936C22semidirect
88. #17988936C22semidirect
89. #17988924C22semidirect
92. #17988922C22semidirect
93. #17988921C22semidirect
95. #17988920C22semidirect
96. #17988902C22semidirect
97. #17988901C22semidirect
98. #17988899C22semidirect
99. #17988882C22semidirect
100. #17988881C22semidirect
101. #17988880C22semidirect
102. #17988879C22semidirect
103. #17988868C22semidirect
104. #17988866C22semidirect
105. #17988866C22semidirect
106. #17988866C22semidirect
107. #17988865C22semidirect
108. #17988865C22semidirect
109. #17988865C22semidirect
110. #17988836C22semidirect
111. #17988833C22semidirect
112. #17988832C22semidirect
114. #17988827C22semidirect
117. #17988826C22semidirect
120. #17988811C22semidirect
121. #17988810C22semidirect
122. #17988808C22semidirect
127. #17988791C22semidirect
128. #17988791C22semidirect
129. #17988790C22semidirect
130. #17988790C22semidirect
131. #17988751C22semidirect
132. #17988750C22semidirect
133. #17988748C22semidirect
141. #17988715C22semidirect
142. #17988711C22semidirect
143. #17988690C22semidirect
144. #17988690C22semidirect
145. #17988690C22semidirect
146. #17988689C22semidirect
147. #17988688C22semidirect
148. #17988688C22semidirect
149. #17988686C22semidirect
150. #17988686C22semidirect
151. #17988684C22semidirect
152. #17988684C22semidirect
153. #17988684C22semidirect
154. Q16×Dic73C22semidirect
155. #17988681C22semidirect
156. C4×#11924018C22semidirect
157. #17988679C22semidirect
158. #17988679C22semidirect
159. #17988679C22semidirect
170. #17988663C22semidirect
174. #17988650C22semidirect
175. #17988647C22semidirect
176. #17988645C22semidirect
179. C2×#14556524C22semidirect
180. #107×D73C22semidirect
181. #17988589C22semidirect
182. #17988587C22semidirect
183. #17988585C22semidirect
185. #17988545C22semidirect
186. #17988544C22semidirect
190. #489×C73C22semidirect
192. #480×C73C22semidirect
193. #474×C73C22semidirect
194. #468×C73C22semidirect
196. #464×C73C22semidirect
197. #452×C73C22semidirect
199. #440×C73C22semidirect
201. #417×C73C22semidirect
548. #11924013#41semidirect
877. #3314D73semidirect
894. C73#61482semidirect
952. #489C2×D73semidirect
966. #480C2×D73semidirect
978. #474C2×D73semidirect
982. #468C2×D73semidirect
994. #464C2×D73semidirect
1006. #452C2×D73semidirect
1028. #440C2×D73semidirect
1060. #417C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226239762
#226239672
#226229142
#226227812
#226226502
#226226462
#226223192
#226223182
#226222732
#226222322
#226222312
#226220182
#226220142
#226220082
#226216462
#226216122
#226216092
#226205692
#226205652
#226205122
#226201982
#226201942
#226201922
#226201882
#226200272
#226200252
#226189012
#226188032
#226188022
C2×#179886672
C73×#33142
#6148273