Finite Group Databasebeta

← #33968838

Subgroups — #33968838

Order 18688.

1836 conjugacy classes of subgroups.

The subgroup lattice has 1712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623896C211yesmaximal, characteristic, complemented
2#22623888C211yesmaximal, characteristic, complemented
3#22622979C211yesmaximal, characteristic, complemented
4#22622825C211yesmaximal, characteristic, complemented
5#22622592C211yesmaximal, characteristic, complemented
6#22622570C211yesmaximal, characteristic, complemented
7#22622544C211yesmaximal, characteristic, complemented
8#22622450C211yesmaximal, characteristic, complemented
9#22622446C211yesmaximal, characteristic, complemented
10#22621855C211yesmaximal, characteristic, complemented
11#22621844C211yesmaximal, characteristic, complemented
12#22621768C211yesmaximal, characteristic, complemented
13#22621761C211yesmaximal, characteristic, complemented
14#22621750C211yesmaximal, characteristic, complemented
15#22621524C211yesmaximal, characteristic, complemented
16#22621457C211yesmaximal, characteristic, complemented
17#22621449C211yesmaximal, characteristic, complemented
18#22620606C211yesmaximal, characteristic, complemented
19#22620594C211yesmaximal, characteristic, complemented
20#22620485C211yesmaximal, characteristic, complemented
21#22620213C211yesmaximal, characteristic, complemented
22#22620209C211yesmaximal, characteristic, complemented
23#22620181C211yesmaximal, characteristic, complemented
24#22620179C211yesmaximal, characteristic, complemented
25#22620088C211yesmaximal, characteristic, complemented
26#22620075C211yesmaximal, characteristic, complemented
27#22618899C211yesmaximal, characteristic, complemented
28#22618766C211yesmaximal, characteristic, complemented
29#22618756C211yesmaximal, characteristic, complemented
30#22618699C211yesmaximal, characteristic, complemented
31C73×#3303C211yesmaximal, characteristic, complemented
32C2×#14556616C2211yescharacteristic
33C2×#14556615C2211yescharacteristic
34C2×#14556611C2211yescharacteristic
35#17989320C2211yescharacteristic
36#17989312C2211yescharacteristic, complemented
37#17989305C2211yescharacteristic
38#17989300C2211yescharacteristic
39#17989296C2211yescharacteristic, complemented
40#17989295C2211yescharacteristic
41#17989280—21no—
42#17989277C2211yescharacteristic, complemented
43#17989274—21no—
44#17989274—21no—
45#17989272—21no—
46#17989271C2211yescharacteristic, complemented
47#17989267—21no—
48#17989261—21no—
49#17989252C2211yescharacteristic
50#17989245—21no—
51#17989236C2211yescharacteristic
52#17989236C2211yescharacteristic, complemented
53#17989234C2211yescharacteristic
54#17989233C2211yescharacteristic
55#17989226—21no—
56#17989221C2211yescharacteristic
57#17989211C2211yescharacteristic
58#17989204C2211yescharacteristic
59#17989198C2211yescharacteristic, complemented
60#17989197C2211yescharacteristic, complemented
61#17989182—21no—
62#17989181—21no—
63#17989171—21no—
64#17989169—21no—
65#17989139C2211yescharacteristic, complemented
66#17989132C2211yescharacteristic
67#17989117C2211yescharacteristic
68#17989115—21no—
69#17989114—21no—
70C2×#14556581—21no—
71#124×D73—21no—
72#17989070C2211yescharacteristic, complemented
73#17989066C2211yescharacteristic, complemented
74#17989061C2211yescharacteristic
75#17989059C2211yescharacteristic
76#41×Dic73C2211yescharacteristic, complemented
77#17989055C2211yescharacteristic
78#17988994C2211yescharacteristic, complemented
79#17988993C2211yescharacteristic, complemented
80#17988984C2211yescharacteristic, complemented
81#17988979C2211yescharacteristic, complemented
82#17988978C2211yescharacteristic, complemented
83#17988958C2211yescharacteristic
84#17988942C2211yescharacteristic, complemented
85#17988940C2211yescharacteristic, complemented
86#17988936C2211yescharacteristic, complemented
87#17988936C2211yescharacteristic, complemented
88#17988932C2211yescharacteristic
89#17988928C2211yescharacteristic, complemented
90#17988928C2211yescharacteristic, complemented
91#17988927C2211yescharacteristic, complemented
92#17988926C2211yescharacteristic, complemented
93#17988919C2211yescharacteristic, complemented
94#17988918C2211yescharacteristic, complemented
95#17988912C2211yescharacteristic, complemented
96#17988908C2211yescharacteristic, complemented
97#17988907C2211yescharacteristic
98#17988903C2211yescharacteristic
99#17988890C2211yescharacteristic, complemented
100#17988888C2211yescharacteristic
101#17988887C2211yescharacteristic, complemented
102#17988886C2211yescharacteristic
103#17988881C2211yescharacteristic, complemented
104#17988876C2211yescharacteristic
105#17988875C2211yescharacteristic, complemented
106#17988870C2211yescharacteristic, complemented
107#17988870C2211yescharacteristic, complemented
108#17988869C2211yescharacteristic, complemented
109#17988865C2211yescharacteristic, complemented
110#17988844C2211yescharacteristic, complemented
111#17988843C2211yescharacteristic, complemented
112#17988836C2211yescharacteristic
113#17988831C2211yescharacteristic
114#17988828C2211yescharacteristic, complemented
115#17988827C2211yescharacteristic, complemented
116#17988819C2211yescharacteristic
117#17988818C2211yescharacteristic, complemented
118#17988816C2211yescharacteristic, complemented
119#17988814C2211yescharacteristic, complemented
120#17988810C2211yescharacteristic, complemented
121#17988807C2211yescharacteristic, complemented
122#17988802C2211yescharacteristic, complemented
123#17988800C2211yescharacteristic, complemented
124#17988796C2211yescharacteristic, complemented
125#17988791C2211yescharacteristic
126#17988791C2211yescharacteristic
127#17988791C2211yescharacteristic, complemented
128#17988789C2211yescharacteristic
129#17988785C2211yescharacteristic
130#17988780C2211yescharacteristic
131#17988751C2211yescharacteristic
132#17988750C2211yescharacteristic, complemented
133#17988749C2211yescharacteristic, complemented
134#17988747C2211yescharacteristic
135#17988740C2211yescharacteristic
136#17988737C2211yescharacteristic
137#17988736C2211yescharacteristic
138#17988736C2211yescharacteristic
139#17988733C2211yescharacteristic
140#17988732C2211yescharacteristic, complemented
141#17988716C2211yescharacteristic, complemented
142C8×Dic146C2211yescharacteristic, complemented
143#17988699C2211yescharacteristic, complemented
144#17988697C2211yescharacteristic
145#17988696C2211yescharacteristic
146#17988696C2211yescharacteristic, complemented
147#17988693C2211yescharacteristic, complemented
148#17988691C2211yescharacteristic, complemented
149#17988690C2211yescharacteristic
150#17988690C2211yescharacteristic, complemented
151#17988690C2211yescharacteristic, complemented
152#17988688C2211yescharacteristic, complemented
153#17988687C2211yescharacteristic, complemented
154#17988686C2211yescharacteristic
155#17988679C2211yescharacteristic, complemented
156#17988679C2211yescharacteristic, complemented
157#17988678C2211yescharacteristic, complemented
158#17988678C2211yescharacteristic, complemented
159#17988678C2211yescharacteristic, complemented
160C4×#11924017C2211yescharacteristic
161SD16×Dic73C2211yescharacteristic, complemented
162#17988674C2211yescharacteristic, complemented
163#17988672C2211yescharacteristic
164#17988672C2211yescharacteristic
165#17988672C2211yescharacteristic
166#17988672C2211yescharacteristic, complemented
167#17988667C2211yescharacteristic
168#17988667C2211yescharacteristic
169#17988667C2211yescharacteristic, complemented
170#17988662C2211yescharacteristic
171#17988659C2211yescharacteristic, complemented
172#17988655C2211yescharacteristic, complemented
173C8×C22⋊D73C2211yescharacteristic
174C8×C22⋊D73C2211yescharacteristic, complemented
175#17988647C2211yescharacteristic, complemented
176#17988645C2211yescharacteristic, complemented
177#17988641C2211yescharacteristic, complemented
178#17988630C2211yescharacteristic, complemented
179#17988628C2211yescharacteristic, complemented
180#17988623C2211yescharacteristic, complemented
181#17988584C2211yescharacteristic
182#17988580C2211yescharacteristic, complemented
183C2×#14556513C2211yescharacteristic
184#102×D73C2211yescharacteristic
185#17988542C2211yescharacteristic, complemented
186#17988541C2211yescharacteristic, complemented
187C2×C8×Dic73C2211yescharacteristic, complemented
188#555×C73C2211yescharacteristic
189#547×C73C2211yescharacteristic, complemented
190#487×C73C2211yescharacteristic, complemented
191#485×C73C2211yescharacteristic, complemented
192#485×C73C2211yescharacteristic, complemented
193#476×C73C2211yescharacteristic, complemented
194#465×C73C2211yescharacteristic
195#465×C73C2211yescharacteristic, complemented
196#461×C73C2211yescharacteristic, complemented
197#449×C73C2211yescharacteristic
198#449×C73C2211yescharacteristic, complemented
199C4×D8×C73C2211yescharacteristic, complemented
200C8×D4×C73C2211yescharacteristic, complemented
201#416×C73C2211yescharacteristic, complemented
202#416×C73C2211yescharacteristic, complemented
203C2×#11924028C2311yescharacteristic
204C2×#11924027—21no—
205C2×#11924027C2311yescharacteristic
206C2×Q8×D73—21no—
207C22×D292C2311yescharacteristic
208C2×D4×D73—21no—
209C2×D4×D73C2311yescharacteristic
210#14556616—24no—
211#14556615—24no—
212#14556611—24no—
213C2×Dic292C2311yescharacteristic
214C2×#11924018C2311yescharacteristic
215C2×#11924018C2311yescharacteristic
216C2×#11924017C2311yescharacteristic
217C2×#11924017C2311yescharacteristic
218C2×#11924016C2311yescharacteristic
219C2×#11924016C2311yescharacteristic
220C2×#11924015C2311yescharacteristic
221C2×#11924015C2311yescharacteristic
222C2×#11924015C2311yescharacteristic
223C2×#11924015C2311yescharacteristic
224C2×#11924013C2311yescharacteristic
225C2×#11924013C2311yescharacteristic
226C2×#11924012C2311yescharacteristic
227C2×#11924011C2311yescharacteristic
228C22×#10596831C2311yescharacteristic
229C2×C8×D73C2311yescharacteristic
230#14556590C2311yescharacteristic
231#14556590C2311yescharacteristic
232#14556590C2311yescharacteristic
233#14556589C2311yescharacteristic
234#14556589C2311yescharacteristic
235#14556587C2311yescharacteristic
236#14556586—21no—
237#14556586—21no—
238#14556586—21no—
239#14556586D411yescharacteristic
240#14556585—21no—
241#14556584—21no—
242#14556584—21no—
243#14556584—21no—
244#14556584—21no—
245#14556584—21no—
246#14556584—21no—
247#14556584D411yescharacteristic
248#14556583C2311yescharacteristic
249#14556582—21no—
250#14556582—21no—
251#14556582C2311yescharacteristic
252#14556581—21no—
253#14556581—21no—
254#14556581—21no—
255#14556581—21no—
256#14556581—21no—
257#14556581—21no—
258#14556581—21no—
259#14556581—21no—
260#14556581—21no—
261#14556581D411yescharacteristic
262#14556580—21no—
263#14556579—21no—
264#14556579C2311yescharacteristic
265#14556578—21no—
266#14556578C2311yescharacteristic
267#14556577—21no—
268#14556577—21no—
269#14556577—21no—
270#14556577—21no—
271#14556577D411yescharacteristic
272#14556576—21no—
273#14556576—21no—
274#14556575D411yescharacteristic
275#14556574—21no—
276#14556574—21no—
277#14556574—21no—
278#14556573—21no—
279#14556573—21no—
280#14556573—21no—
281#14556572—21no—
282#14556572—21no—
283#14556572—21no—
284#14556572—21no—
285#14556572D411yescharacteristic
286#14556571—21no—
287#14556571C2311yescharacteristic
288#14556570—21no—
289#14556570C2311yescharacteristic
290#14556570C2311yescharacteristic
291#14556570C2311yescharacteristic
292#14556569—21no—
293#14556569—21no—
294#14556568—21no—
295#14556568—21no—
296#14556568—21no—
297#14556568—21no—
298#14556568—21no—
299#14556568D411yescharacteristic
300#14556567—21no—
301#14556567—21no—
302#14556567C2311yescharacteristic
303#14556567C2311yescharacteristic
304#14556566C2311yescharacteristic
305#14556565C2311yescharacteristic
306#14556564—21no—
307#14556564—21no—
308#14556564—21no—
309#14556563—21no—
310#14556563—21no—
311#14556563—21no—
312#14556563D411yescharacteristic
313#14556562—21no—
314#14556561—21no—
315#14556559—21no—
316#14556559—21no—
317#14556559—21no—
318Q8×Dic73C2311yescharacteristic
319Q8×Dic73C2311yescharacteristic
320Q8×Dic73C2311yescharacteristic
321Q8×Dic73C2311yescharacteristic
322C4×Dic146—21no—
323C4×Dic146C2311yescharacteristic
324C4×Dic146C2311yescharacteristic
325#14556556—21no—
326#14556556—21no—
327#14556556C2311yescharacteristic
328#14556556C2311yescharacteristic
329#14556556C2311yescharacteristic
330C4×D292—21no—
331C4×D292—21no—
332C4×D292C2311yescharacteristic
333D4×Dic73—21no—
334D4×Dic73—21no—
335D4×Dic73—21no—
336D4×Dic73—21no—
337D4×Dic73C2311yescharacteristic
338D4×Dic73C2311yescharacteristic
339D4×Dic73C2311yescharacteristic
340D4×Dic73C2311yescharacteristic
341#14556553C2311yescharacteristic
342#14556553C2311yescharacteristic
343#14556553C2311yescharacteristic
344#14556553C2311yescharacteristic
345#14556553C2311yescharacteristic
346C4×C22⋊D73—21no—
347C4×C22⋊D73—21no—
348C4×C22⋊D73—21no—
349C4×C22⋊D73C2311yescharacteristic
350C4×C22⋊D73C2311yescharacteristic
351#14556551—21no—
352#14556551—21no—
353#14556551—21no—
354#14556551—21no—
355#14556551—21no—
356#14556551—21no—
357#14556550—21no—
358#14556550—21no—
359#14556550C2311yescharacteristic
360#14556550C2311yescharacteristic
361#14556549—21no—
362#14556549C2311yescharacteristic
363#14556548—21no—
364#14556548—21no—
365#14556548C2311yescharacteristic
366#14556547—21no—
367#14556547—21no—
368#14556547—21no—
369C2×C4⋊Dic73—21no—
370C2×C4⋊Dic73C2311yescharacteristic
371C2×#11924007—21no—
372C2×#11924007—21no—
373C2×#11924007—21no—
374C2×#11924007—21no—
375C4⋊C4×D73C2311yescharacteristic
376C2×#11924005—21no—
377C22⋊C4×D73—21no—
378C22⋊C4×D73—21no—
379C22⋊C4×D73—21no—
380C22⋊C4×D73—21no—
381C22⋊C4×D73—21no—
382C2×C4×Dic73—21no—
383C2×C4×Dic73C2311yescharacteristic
384C42×D73—21no—
385#14556525C2311yescharacteristic
386#14556524C2311yescharacteristic
387#14556524C2311yescharacteristic
388#14556524C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556523C2311yescharacteristic
391#14556523C2311yescharacteristic
392#14556522C2311yescharacteristic
393#14556522C2311yescharacteristic
394#14556522C2311yescharacteristic
395#14556522C2311yescharacteristic
396#14556522C2311yescharacteristic
397#14556522C2311yescharacteristic
398C4⋊#10596831C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556516C2311yescharacteristic
404#14556516C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556515C2311yescharacteristic
408#14556515C2311yescharacteristic
409#14556514C2311yescharacteristic
410#14556514C2311yescharacteristic
411#14556514C2311yescharacteristic
412#14556514C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425C22⋊#10596831C2311yescharacteristic
426C22⋊#10596831C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556502C2311yescharacteristic
430#14556501C2311yescharacteristic
431#14556501C2311yescharacteristic
432#14556501C2311yescharacteristic
433C8×Dic73C2311yescharacteristic
434C8×Dic73C2311yescharacteristic
435C8×Dic73C2311yescharacteristic
436C8×Dic73C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C2×#41×C73C2311yescharacteristic
439C2×#41×C73C2311yescharacteristic
440C2×SD16×C73C2311yescharacteristic
441C2×SD16×C73C2311yescharacteristic
442C2×D8×C73C2311yescharacteristic
443C22×C8×C73C2311yescharacteristic
444C22×C8×C73C2311yescharacteristic
445C4⋊Q8×C73C2311yescharacteristic
446C4⋊Q8×C73C2311yescharacteristic
447#124×C73—21no—
448#124×C73—21no—
449#123×C73—21no—
450#123×C73—21no—
451C22⋊Q8×C73C2311yescharacteristic
452C22⋊Q8×C73C2311yescharacteristic
453#121×C73—21no—
454#121×C73—21no—
455#121×C73C2311yescharacteristic
456#121×C73C2311yescharacteristic
457C4×D4×C73C2311yescharacteristic
458C4×D4×C73C2311yescharacteristic
459C4×D4×C73C2311yescharacteristic
460#117×C73—21no—
461#117×C73C2311yescharacteristic
462#117×C73C2311yescharacteristic
463C2×C4⋊C4×C73—21no—
464#107×C73C2311yescharacteristic
465#106×C73C2311yescharacteristic
466#106×C73C2311yescharacteristic
467C4⋊C8×C73C2311yescharacteristic
468#103×C73C2311yescharacteristic
469#103×C73C2311yescharacteristic
470#103×C73C2311yescharacteristic
471#103×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#103×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478C22⋊C8×C73C2311yescharacteristic
479C22⋊C8×C73C2311yescharacteristic
480C4×C8×C73C2311yescharacteristic
481C23×D73—21no—
482C23×D73—21no—
483#11924028—22no—
484#11924028—41no—
485#11924027—22no—
486#11924027—41no—
487#11924027—82no—
488C2×Dic146—21no—
489C2×Dic146—21no—
490C2×Dic146—21no—
491C2×Dic146C2×D411yescharacteristic
492C2×Dic146C2411yescharacteristic
493C2×Dic146C2411yescharacteristic
494Q8×D73—82no—
495C2×D292—22no—
496C2×D292—21no—
497C2×D292—21no—
498C2×D292—41no—
499C2×D292C2411yescharacteristic
500C2×D292C2411yescharacteristic
501C2×C22⋊D73—21no—
502C2×C22⋊D73—21no—
503C2×C22⋊D73—21no—
504C2×C22⋊D73—21no—
505C2×C22⋊D73—21no—
506C2×C22⋊D73—21no—
507C2×C22⋊D73C2×D411yescharacteristic
508C2×C22⋊D73C2×D411yescharacteristic
509D4×D73—22no—
510D4×D73—41no—
511D4×D73—82no—
512C22×Dic73—21no—
513C22×Dic73—21no—
514C22×Dic73—21no—
515C22×Dic73—21no—
516C22×Dic73—21no—
517C22×Dic73—21no—
518C22×Dic73C2×D411yescharacteristic
519C22×Dic73C2×D411yescharacteristic
520C2×C4×D73—21no—
521C2×C4×D73—21no—
522C2×C4×D73—21no—
523C2×C4×D73—21no—
524C2×C4×D73—21no—
525C2×C4×D73—21no—
526C2×C4×D73—21no—
527C2×C4×D73—21no—
528C2×C4×D73C2411yescharacteristic
529Dic292—41no—
530#11924018—22no—
531#11924018—41no—
532#11924017—22no—
533#11924017—41no—
534#11924016—22no—
535#11924016—22no—
536#11924015—22no—
537#11924015—22no—
538#11924015—22no—
539#11924015—41no—
540#11924013—22no—
541#11924013#4114yescomplemented
542#11924012—22no—
543#11924011—22no—
544C2×#10596831—22no—
545C2×#10596831C2411yescharacteristic
546C2×#10596831C2411yescharacteristic
547C2×#10596831C2411yescharacteristic
548C2×#10596831C2411yescharacteristic
549C8×D73—41no—
550C4⋊Dic73—21no—
551C4⋊Dic73—21no—
552C4⋊Dic73—21no—
553C4⋊Dic73—21no—
554C4⋊Dic73—21no—
555C4⋊Dic73—21no—
556C4⋊Dic73—21no—
557C4⋊Dic73C2×D411yescharacteristic
558C4⋊Dic73C2×D411yescharacteristic
559C4⋊Dic73C2×D411yescharacteristic
560C4⋊Dic73C2411yescharacteristic
561C4⋊Dic73C2411yescharacteristic
562C4⋊Dic73C2411yescharacteristic
563C4⋊Dic73C2411yescharacteristic
564#11924007—21no—
565#11924007—21no—
566#11924007—21no—
567#11924007—21no—
568#11924007—21no—
569#11924007—21no—
570#11924007—21no—
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#11924007C2×D411yescharacteristic
585#11924007C2×D411yescharacteristic
586#11924007C2×D411yescharacteristic
587#11924007C2×D411yescharacteristic
588#11924007C2×D411yescharacteristic
589#11924007C2×D411yescharacteristic
590C22⋊Dic73—21no—
591C22⋊Dic73—21no—
592C22⋊Dic73—21no—
593C22⋊Dic73—21no—
594C22⋊Dic73—21no—
595C22⋊Dic73—21no—
596C22⋊Dic73—21no—
597C22⋊Dic73—21no—
598C22⋊Dic73—21no—
599C22⋊Dic73—21no—
600C22⋊Dic73C2×D411yescharacteristic
601C22⋊Dic73C2×D411yescharacteristic
602C22⋊Dic73C2×D411yescharacteristic
603C22⋊Dic73C2×D411yescharacteristic
604#11924005—21no—
605#11924005—21no—
606#11924005—21no—
607#11924005—21no—
608#11924005—21no—
609#11924005—21no—
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#11924005C2×D411yescharacteristic
619#11924005C2×D411yescharacteristic
620#11924005C2×D411yescharacteristic
621#11924005C2×D411yescharacteristic
622C4×Dic73—21no—
623C4×Dic73—21no—
624C4×Dic73—21no—
625C4×Dic73—21no—
626C4×Dic73—21no—
627C4×Dic73—21no—
628C4×Dic73—21no—
629C4×Dic73—21no—
630C4×Dic73—21no—
631C4×Dic73—21no—
632C4×Dic73C2×D411yescharacteristic
633C4×Dic73C2×D411yescharacteristic
634C4×Dic73C2411yescharacteristic
635C4×Dic73C2411yescharacteristic
636C4×Dic73C2411yescharacteristic
637#41×C73—22no—
638#41×C73—22no—
639#41×C73—41no—
640#41×C73—41no—
641C2×Q8×C73—21no—
642C2×Q8×C73C2411yescharacteristic
643C2×Q8×C73C2411yescharacteristic
644C2×D4×C73—21no—
645C2×D4×C73—21no—
646C2×D4×C73—21no—
647C2×D4×C73—21no—
648C2×D4×C73C2×D411yescharacteristic
649C2×D4×C73C2411yescharacteristic
650C2×D4×C73C2411yescharacteristic
651C22×C4×C73—21no—
652C22×C4×C73—21no—
653C22×C4×C73—21no—
654C22×C4×C73—21no—
655C22×C4×C73C2411yescharacteristic
656C22×C4×C73C2411yescharacteristic
657SD16×C73—41no—
658SD16×C73—41no—
659D8×C73—22no—
660C2×C8×C73—41no—
661C2×C8×C73—41no—
662C2×C8×C73C2411yescharacteristic
663C2×C8×C73C2411yescharacteristic
664C2×C8×C73C2411yescharacteristic
665C2×C8×C73C2411yescharacteristic
666C4⋊C4×C73—21no—
667C4⋊C4×C73—21no—
668C4⋊C4×C73—21no—
669C4⋊C4×C73—21no—
670C4⋊C4×C73—21no—
671C4⋊C4×C73C2×D411yescharacteristic
672C4⋊C4×C73C2411yescharacteristic
673C4⋊C4×C73C2411yescharacteristic
674C4⋊C4×C73C2411yescharacteristic
675C4⋊C4×C73C2411yescharacteristic
676C22⋊C4×C73—21no—
677C22⋊C4×C73—21no—
678C22⋊C4×C73—21no—
679C22⋊C4×C73—21no—
680C22⋊C4×C73—21no—
681C22⋊C4×C73—21no—
682C22⋊C4×C73—21no—
683C22⋊C4×C73—21no—
684C22⋊C4×C73C2×D411yescharacteristic
685C22⋊C4×C73C2×D411yescharacteristic
686C42×C73—21no—
687C42×C73—21no—
688C42×C73C2411yescharacteristic
689C23×C73—21no—
690C23×C73—21no—
691C23×C73C22×D411yescharacteristic
692C23×C73C22×D411yescharacteristic
693C22×D73—21no—
694C22×D73—21no—
695C22×D73—42no—
696C22×D73—42no—
697C22×D73—81no—
698C22×D73—81no—
699C22×D73—81no—
700C22×D73—81no—
701C22×D73C22×D411yescharacteristic
702Q8×C73—21no—
703Q8×C73—21no—
704Q8×C73—21no—
705Q8×C73—21no—
706Q8×C73—81no—
707D4×C73—21no—
708D4×C73—21no—
709D4×C73—21no—
710D4×C73—41no—
711D4×C73—42no—
712D4×C73—42no—
713D4×C73—81no—
714D4×C73—81no—
715D4×C73C2×#4112yes—
716C2×C4×C73—21no—
717C2×C4×C73—21no—
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—42no—
727C2×C4×C73—42no—
728C2×C4×C73—81no—
729C2×C4×C73—81no—
730C2×C4×C73C22×D411yescharacteristic
731C2×C4×C73C22×D411yescharacteristic
732C2×C4×C73C22×D411yescharacteristic
733C2×C4×C73C22×D411yescharacteristic
734C2×C4×C73C2511yescharacteristic
735C22⋊D73—22no—
736C22⋊D73—41no—
737C22⋊D73—42no—
738C22⋊D73—42no—
739C22⋊D73—42no—
740C22⋊D73—42no—
741C22⋊D73—81no—
742C22⋊D73—81no—
743C2×Dic73—22no—
744C2×Dic73—21no—
745C2×Dic73—21no—
746C2×Dic73—21no—
747C2×Dic73—21no—
748C2×Dic73—21no—
749C2×Dic73—21no—
750C2×Dic73—41no—
751C2×Dic73—42no—
752C2×Dic73—42no—
753C2×Dic73—81no—
754C2×Dic73—81no—
755C2×Dic73—81no—
756C2×Dic73—81no—
757C2×Dic73C22×D411yescharacteristic
758C2×Dic73C22×D411yescharacteristic
759C2×Dic73C22×D411yescharacteristic
760C2×Dic73C22×D411yescharacteristic
761C2×Dic73C22×D411yescharacteristic
762C2×Dic73C22×D411yescharacteristic
763C2×Dic73C22×D411yescharacteristic
764D292—21no—
765D292—21no—
766D292—21no—
767D292—42no—
768D292—81no—
769D292C2×#4112yes—
770C4×D73—21no—
771C4×D73—21no—
772C4×D73—42no—
773C4×D73—42no—
774C4×D73—81no—
775C4×D73—81no—
776C4×D73—81no—
777C4×D73—81no—
778C4×D73—81no—
779C4×D73—81no—
780Dic146—22no—
781Dic146—21no—
782Dic146—21no—
783Dic146—21no—
784Dic146—21no—
785Dic146—42no—
786Dic146—81no—
787Dic146—81no—
788C8×C73—21no—
789C8×C73—21no—
790C8×C73—21no—
791C8×C73—21no—
792#10596831—21no—
793#10596831—21no—
794#10596831—21no—
795#10596831C2×#4112yes—
796C22×C73—21no—
797C22×C73—21no—
798C22×C73—22no—
799C22×C73—21no—
800C22×C73—21no—
801C22×C73—21no—
802C22×C73—21no—
803C22×C73—41no—
804C22×C73—41no—
805C22×C73—41no—
806C22×C73—41no—
807C22×C73—41no—
808C22×C73C23×D411yescharacteristic
809C2×D73—21no—
810C2×D73—21no—
811C2×D73—22no—
812C2×D73—21no—
813C2×D73—41no—
814C2×D73—41no—
815C2×D73—41no—
816C2×D73—41no—
817C2×D73—41no—
818C2×D73—162no—
819C2×D73—162no—
820C4×C73—21no—
821C4×C73—21no—
822C4×C73—21no—
823C4×C73—21no—
824C4×C73—41no—
825C4×C73—41no—
826C4×C73—41no—
827C4×C73—41no—
828C4×C73—41no—
829C4×C73—41no—
830C4×C73C22×#4111yescharacteristic
831C4×C73#58511yescharacteristic
832Dic73—21no—
833Dic73—21no—
834Dic73—21no—
835Dic73—21no—
836Dic73—21no—
837Dic73—21no—
838Dic73—41no—
839Dic73—41no—
840Dic73—41no—
841Dic73—41no—
842Dic73—41no—
843Dic73—41no—
844Dic73#57712yes—
845#61493—731nomaximal, Sylow
846C2×C73—41no—
847C2×C73—41no—
848C2×C73—42no—
849C2×C73—81no—
850C2×C73D4×#4111yescharacteristic
851C2×C73C2×#57711yescharacteristic
852C2×C73#358411yescharacteristic
853D73—41no—
854D73—42no—
855D73—81no—
856#3515—731no—
857#3514—731no—
858#3400—731no—
859#3384—731no—
860#3361—731no—
861#3359—731no—
862#3356—731no—
863#3348—731no—
864#3348—731no—
865#3303—731no—
866#3303D7311yescharacteristic, complemented
867#3302—731no—
868#3296—731no—
869#3296—731no—
870#3295—731no—
871#3272—731no—
872#3267—731no—
873#3267—731no—
874#3178—731no—
875#3178—731no—
876#3167—731no—
877#3125—731no—
878#3125—731no—
879#3123—731no—
880#3123—731no—
881#3116—731no—
882#3115—731no—
883#2966—731no—
884#2946—731no—
885#2946—731no—
886C4×#135—731no—
887C73#6149311yescharacteristic, complemented, Sylow
888C2×AGL(1,ℤ/8)—731no—
889C2×AGL(1,ℤ/8)—731no—
890C2×#135—731no—
891#559—731no—
892#557—731no—
893#556—731no—
894#555—731no—
895#555C2×D7311yescharacteristic
896#554—731no—
897#554—731no—
898#553—1461no—
899#552—731no—
900#552—731no—
901#552—1461no—
902#552—1461no—
903#552—1461no—
904#551—1461no—
905#551—1461no—
906D4×Q8—731no—
907#548—1461no—
908#547—731no—
909#547—731no—
910#547C2×D7311yescharacteristic, complemented
911#546—731no—
912#546—731no—
913#546—1461no—
914D42—731no—
915#542—731no—
916#542—731no—
917#541—731no—
918#541—731no—
919#539—1461no—
920#539—1461no—
921#538—1461no—
922#538—1461no—
923#533—731no—
924#532—731no—
925#529—731no—
926#529—1461no—
927#529—1461no—
928C2×#125—1461no—
929C2×#124—1461no—
930#520—731no—
931#520—731no—
932#518—731no—
933#518—731no—
934C4×#41—731no—
935C4×#41—731no—
936#501—731no—
937#501—731no—
938#498—731no—
939#497—731no—
940#497—731no—
941#492—731no—
942#488—731no—
943#488—731no—
944#487—731no—
945#487—731no—
946#487C2×D7311yescharacteristic, complemented
947#486—731no—
948#485—731no—
949#485—731no—
950#485—731no—
951#485—731no—
952#485C2×D7311yescharacteristic, complemented
953#485C2×D7311yescharacteristic, complemented
954#483—731no—
955#483—731no—
956#482—731no—
957#482—731no—
958#481—731no—
959#481—731no—
960#478—731no—
961#478—731no—
962#478—731no—
963#478—731no—
964#477—731no—
965#476—731no—
966#476—731no—
967#476C2×D7311yescharacteristic, complemented
968#475—731no—
969#475—731no—
970#475—731no—
971#474—731no—
972#470—731no—
973#470—731no—
974#468—731no—
975#468—731no—
976#467—731no—
977#467—731no—
978#465—731no—
979#465—731no—
980#465—731no—
981#465—731no—
982#465C2×D7311yescharacteristic
983#465C2×D7311yescharacteristic, complemented
984#464—731no—
985#464—731no—
986#463—731no—
987#463—731no—
988#462—731no—
989#461—731no—
990#461—731no—
991#461—731no—
992#461—731no—
993#461C2×D7311yescharacteristic, complemented
994#460—731no—
995#459—731no—
996#452—731no—
997#452—731no—
998#452—731no—
999#452—731no—
1000#450—731no—
1001#450—731no—
1002#450—731no—
1003#450—731no—
1004#449—731no—
1005#449—731no—
1006#449C2×D7311yescharacteristic
1007#449C2×D7311yescharacteristic, complemented
1008#446—731no—
1009C8×Q8—731no—
1010#442—731no—
1011#442—731no—
1012#442—731no—
1013#442—731no—
1014#441—731no—
1015#441—731no—
1016#440—731no—
1017#440—731no—
1018#440—731no—
1019#440—731no—
1020#440—731no—
1021#440—731no—
1022C4×Q16—731no—
1023C4×Q16—731no—
1024C4×SD16—731no—
1025C4×SD16—731no—
1026C4×SD16—731no—
1027C4×SD16—731no—
1028C4×SD16—731no—
1029C4×SD16—731no—
1030C4×SD16—731no—
1031C4×SD16—731no—
1032C4×SD16—731no—
1033C4×SD16—731no—
1034C4×D8—731no—
1035C4×D8—731no—
1036C4×D8—731no—
1037C4×D8C2×D7311yescharacteristic, complemented
1038#436—731no—
1039#435—731no—
1040#435—731no—
1041C8×D4—731no—
1042C8×D4—731no—
1043C8×D4C2×D7311yescharacteristic, complemented
1044#433—731no—
1045#433—731no—
1046#432—731no—
1047#428—731no—
1048#428—731no—
1049#427—731no—
1050#416—731no—
1051#416—731no—
1052#416C2×D7311yescharacteristic, complemented
1053#416C2×D7311yescharacteristic, complemented
1054C2×#102—731no—
1055C2×#102—731no—
1056#405—731no—
1057#405—731no—
1058C2×C4×C8—731no—
1059C2×#41—731no—
1060C2×#41—731no—
1061C2×#41—1461no—
1062C2×#41C22×D7311yescharacteristic
1063C2×#41C22×D7311yescharacteristic
1064C22×Q8—1461no—
1065C22×D4—731no—
1066C22×D4—731no—
1067C22×D4—1461no—
1068AGL(1,ℤ/8)—1464no—
1069AGL(1,ℤ/8)—1464no—
1070#135—1464no—
1071C2×Q16—731no—
1072C2×Q16—731no—
1073C2×Q16—731no—
1074C2×SD16—731no—
1075C2×SD16—731no—
1076C2×SD16—731no—
1077C2×SD16—731no—
1078C2×SD16—731no—
1079C2×SD16—731no—
1080C2×SD16—731no—
1081C2×SD16—731no—
1082C2×SD16C22×D7311yescharacteristic
1083C2×SD16C22×D7311yescharacteristic
1084C2×D8—731no—
1085C2×D8—731no—
1086C2×D8C22×D7311yescharacteristic
1087C2×M16—731no—
1088C2×M16—731no—
1089C22×C8—731no—
1090C22×C8—731no—
1091C22×C8C22×D7311yescharacteristic
1092C22×C8C22×D7311yescharacteristic
1093C4⋊Q8—731no—
1094C4⋊Q8—731no—
1095C4⋊Q8—731no—
1096C4⋊Q8—731no—
1097C4⋊Q8—731no—
1098C4⋊Q8C22×D7311yescharacteristic
1099C4⋊Q8C22×D7311yescharacteristic
1100#127—731no—
1101#126—731no—
1102#126—731no—
1103#126—1461no—
1104#126—1461no—
1105#126—1461no—
1106#126—1461no—
1107#126—1461no—
1108#126—1461no—
1109#126—1461no—
1110#126—1461no—
1111#126—1461no—
1112#126—1461no—
1113#125—731no—
1114#125—731no—
1115#125—731no—
1116#125—1461no—
1117#125—1461no—
1118#125—1461no—
1119#125—1461no—
1120#125—1461no—
1121#125—1461no—
1122#125—1461no—
1123#125—1461no—
1124#125—1461no—
1125#125—1461no—
1126#125—1461no—
1127#124—21no—
1128#124—21no—
1129#124—731no—
1130#124—731no—
1131#124—731no—
1132#124—1461no—
1133#124—1461no—
1134#124—1461no—
1135#124—1461no—
1136#124—1461no—
1137#124—1461no—
1138#124—1461no—
1139#123—21no—
1140#123—21no—
1141#123—731no—
1142#123—731no—
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—731no—
1156C22⋊Q8—731no—
1157C22⋊Q8—731no—
1158C22⋊Q8—731no—
1159C22⋊Q8—731no—
1160C22⋊Q8—731no—
1161C22⋊Q8—731no—
1162C22⋊Q8—1461no—
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⋊Q8C22×D7311yescharacteristic
1174C22⋊Q8C22×D7311yescharacteristic
1175#121—21no—
1176#121—21no—
1177#121—731no—
1178#121—731no—
1179#121—731no—
1180#121—1461no—
1181#121—1461no—
1182#121—1461no—
1183#121—1461no—
1184#121—1461no—
1185#121—1461no—
1186#121—1461no—
1187#121C22×D7311yescharacteristic
1188#121C22×D7311yescharacteristic
1189#120—1461no—
1190#120—1461no—
1191#120—1461no—
1192#120—1461no—
1193C4×Q8—731no—
1194C4×Q8—731no—
1195C4×Q8—731no—
1196C4×Q8—731no—
1197C4×Q8—731no—
1198C4×Q8—731no—
1199C4×Q8—731no—
1200C4×Q8—731no—
1201C4×Q8—731no—
1202C4×Q8—1461no—
1203C4×Q8—1461no—
1204C4×Q8—1461no—
1205C4×D4—731no—
1206C4×D4—731no—
1207C4×D4—731no—
1208C4×D4—731no—
1209C4×D4—731no—
1210C4×D4—731no—
1211C4×D4—731no—
1212C4×D4—731no—
1213C4×D4—731no—
1214C4×D4—731no—
1215C4×D4—731no—
1216C4×D4—731no—
1217C4×D4—1461no—
1218C4×D4—1461no—
1219C4×D4—1461no—
1220C4×D4—1461no—
1221C4×D4—1461no—
1222C4×D4—1461no—
1223C4×D4—1461no—
1224C4×D4—1461no—
1225C4×D4—1461no—
1226C4×D4—1461no—
1227C4×D4—1461no—
1228C4×D4—1461no—
1229C4×D4—1461no—
1230C4×D4—1461no—
1231C4×D4—1461no—
1232C4×D4C22×D7311yescharacteristic
1233C4×D4C22×D7311yescharacteristic
1234C4×D4C22×D7311yescharacteristic
1235#117—21no—
1236#117—731no—
1237#117—731no—
1238#117—731no—
1239#117—731no—
1240#117—1461no—
1241#117—1461no—
1242#117—1461no—
1243#117—1461no—
1244#117—1461no—
1245#117—1461no—
1246#117—1461no—
1247#117—1461no—
1248#117C22×D7311yescharacteristic
1249#117C22×D7311yescharacteristic
1250C2×C4⋊C4—21no—
1251C2×C4⋊C4—731no—
1252C2×C4⋊C4—731no—
1253C2×C4⋊C4—1461no—
1254C2×C4⋊C4—1461no—
1255C2×C4⋊C4—1461no—
1256C2×C4⋊C4—1461no—
1257C2×C4⋊C4—1461no—
1258C2×C22⋊C4—1461no—
1259C2×C22⋊C4—1461no—
1260C2×C22⋊C4—1461no—
1261C2×C22⋊C4—1461no—
1262C2×C22⋊C4—1461no—
1263C2×C22⋊C4—1461no—
1264C2×C42—731no—
1265C2×C42—1461no—
1266C2×C42—1461no—
1267#107—731no—
1268#107—731no—
1269#107—731no—
1270#107—731no—
1271#107—731no—
1272#107C22×D7311yescharacteristic
1273#106—731no—
1274#106—731no—
1275#106—731no—
1276#106—731no—
1277#106—731no—
1278#106—731no—
1279#106—731no—
1280#106—731no—
1281#106C22×D7311yescharacteristic
1282#106C22×D7311yescharacteristic
1283C4⋊C8—731no—
1284C4⋊C8—731no—
1285C4⋊C8—731no—
1286C4⋊C8—731no—
1287C4⋊C8—731no—
1288C4⋊C8C22×D7311yescharacteristic
1289#103—731no—
1290#103—731no—
1291#103—731no—
1292#103—731no—
1293#103—731no—
1294#103—731no—
1295#103—731no—
1296#103—731no—
1297#103—731no—
1298#103—731no—
1299#103C22×D7311yescharacteristic
1300#103C22×D7311yescharacteristic
1301#103C22×D7311yescharacteristic
1302#103C22×D7311yescharacteristic
1303#103C22×D7311yescharacteristic
1304#103C22×D7311yescharacteristic
1305#102—731no—
1306#102—731no—
1307#102—731no—
1308#102—731no—
1309#102—731no—
1310#102—731no—
1311#102—731no—
1312#102—731no—
1313#102—731no—
1314#102—731no—
1315#102—731no—
1316#102—731no—
1317#102C22×D7311yescharacteristic
1318#102C22×D7311yescharacteristic
1319#102C22×D7311yescharacteristic
1320#102C22×D7311yescharacteristic
1321C22⋊C8—731no—
1322C22⋊C8—731no—
1323C22⋊C8—731no—
1324C22⋊C8—731no—
1325C22⋊C8C22×D7311yescharacteristic
1326C22⋊C8C22×D7311yescharacteristic
1327#97—731no—
1328#97—731no—
1329#97—731no—
1330#97—731no—
1331C4×C8—731no—
1332C4×C8—731no—
1333C4×C8—731no—
1334C4×C8—731no—
1335C4×C8—731no—
1336C4×C8C22×D7311yescharacteristic
1337C24—1461no—
1338C24—1461no—
1339#41—22no—
1340#41—22no—
1341#41—41no—
1342#41—41no—
1343#41—2921no—
1344#41—2921no—
1345#41—5842no—
1346#41—1462no—
1347#41—1462no—
1348C2×Q8—21no—
1349C2×Q8—5842no—
1350C2×Q8—731no—
1351C2×Q8—731no—
1352C2×Q8—731no—
1353C2×Q8—1461no—
1354C2×Q8—1461no—
1355C2×Q8—1461no—
1356C2×Q8C23×D7311yescharacteristic
1357C2×Q8C23×D7311yescharacteristic
1358C2×D4—21no—
1359C2×D4—21no—
1360C2×D4—21no—
1361C2×D4—21no—
1362C2×D4—2921no—
1363C2×D4—2921no—
1364C2×D4—5842no—
1365C2×D4—731no—
1366C2×D4—731no—
1367C2×D4—731no—
1368C2×D4—731no—
1369C2×D4—1462no—
1370C2×D4—1461no—
1371C2×D4—1461no—
1372C2×D4—1461no—
1373C2×D4—1461no—
1374C2×D4—1462no—
1375C2×D4—1461no—
1376C2×D4—1461no—
1377C2×D4—1461no—
1378C2×D4—1461no—
1379C2×D4D4×D7311yescharacteristic
1380C2×D4C23×D7311yescharacteristic
1381C2×D4C23×D7311yescharacteristic
1382C22×C4—21no—
1383C22×C4—21no—
1384C22×C4—21no—
1385C22×C4—21no—
1386C22×C4—731no—
1387C22×C4—731no—
1388C22×C4—731no—
1389C22×C4—1461no—
1390C22×C4—1461no—
1391C22×C4—1461no—
1392C22×C4—1461no—
1393C22×C4—1461no—
1394C22×C4—1461no—
1395C22×C4—1461no—
1396C22×C4—1461no—
1397C22×C4—1461no—
1398C22×C4—1461no—
1399C22×C4—1461no—
1400C22×C4—1461no—
1401C22×C4—1461no—
1402C22×C4—1461no—
1403C22×C4C23×D7311yescharacteristic
1404C22×C4C23×D7311yescharacteristic
1405Q16—2921no—
1406Q16—2921no—
1407Q16—1462no—
1408SD16—41no—
1409SD16—41no—
1410SD16—2921no—
1411SD16—2921no—
1412SD16—1462no—
1413SD16—1462no—
1414SD16—1462no—
1415SD16—1462no—
1416SD16—1462no—
1417SD16—1462no—
1418D8—22no—
1419D8—734no—
1420D8—1462no—
1421M16—1462no—
1422M16—1462no—
1423C2×C8—41no—
1424C2×C8—41no—
1425C2×C8—2921no—
1426C2×C8—731no—
1427C2×C8—731no—
1428C2×C8—731no—
1429C2×C8—731no—
1430C2×C8—1462no—
1431C2×C8C23×D7311yescharacteristic
1432C2×C8C23×D7311yescharacteristic
1433C2×C8C23×D7311yescharacteristic
1434C2×C8C23×D7311yescharacteristic
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—731no—
1441C4⋊C4—731no—
1442C4⋊C4—731no—
1443C4⋊C4—731no—
1444C4⋊C4—731no—
1445C4⋊C4—731no—
1446C4⋊C4—731no—
1447C4⋊C4—731no—
1448C4⋊C4—731no—
1449C4⋊C4—731no—
1450C4⋊C4—731no—
1451C4⋊C4—731no—
1452C4⋊C4—731no—
1453C4⋊C4—1461no—
1454C4⋊C4—1461no—
1455C4⋊C4—1461no—
1456C4⋊C4—1461no—
1457C4⋊C4—1461no—
1458C4⋊C4—1461no—
1459C4⋊C4—1461no—
1460C4⋊C4—1461no—
1461C4⋊C4—1461no—
1462C4⋊C4—1461no—
1463C4⋊C4—1461no—
1464C4⋊C4—1461no—
1465C4⋊C4—1461no—
1466C4⋊C4—1461no—
1467C4⋊C4—1461no—
1468C4⋊C4—1461no—
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⋊C4D4×D7311yescharacteristic
1481C4⋊C4C23×D7311yescharacteristic
1482C4⋊C4C23×D7311yescharacteristic
1483C4⋊C4C23×D7311yescharacteristic
1484C4⋊C4C23×D7311yescharacteristic
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—21no—
1489C22⋊C4—21no—
1490C22⋊C4—21no—
1491C22⋊C4—21no—
1492C22⋊C4—21no—
1493C22⋊C4—731no—
1494C22⋊C4—731no—
1495C22⋊C4—731no—
1496C22⋊C4—731no—
1497C22⋊C4—731no—
1498C22⋊C4—731no—
1499C22⋊C4—731no—
1500C22⋊C4—731no—
1501C22⋊C4—1461no—
1502C22⋊C4—1461no—
1503C22⋊C4—1461no—
1504C22⋊C4—1461no—
1505C22⋊C4—1461no—
1506C22⋊C4—1461no—
1507C22⋊C4—1461no—
1508C22⋊C4—1461no—
1509C22⋊C4—1461no—
1510C22⋊C4—1461no—
1511C22⋊C4—1461no—
1512C22⋊C4—1461no—
1513C22⋊C4—1461no—
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⋊C4D4×D7311yescharacteristic
1526C22⋊C4D4×D7311yescharacteristic
1527C42—21no—
1528C42—21no—
1529C42—731no—
1530C42—731no—
1531C42—731no—
1532C42—731no—
1533C42—731no—
1534C42—1461no—
1535C42—1461no—
1536C42—1461no—
1537C42—1461no—
1538C42—1461no—
1539C42—1461no—
1540C42—1461no—
1541C42—1461no—
1542C42—1461no—
1543C42—1461no—
1544C42C23×D7311yescharacteristic
1545C23—21no—
1546C23—21no—
1547C23—2922no—
1548C23—2922no—
1549C23—5841no—
1550C23—5841no—
1551C23—5841no—
1552C23—5841no—
1553C23—731no—
1554C23—1461no—
1555C23—1461no—
1556C23C2×D4×D7311yescharacteristic
1557C23C2×D4×D7311yescharacteristic
1558Q8—21no—
1559Q8—21no—
1560Q8—21no—
1561Q8—21no—
1562Q8—81no—
1563Q8—2922no—
1564Q8—5841no—
1565Q8—5841no—
1566Q8—1462no—
1567Q8—1461no—
1568Q8—1461no—
1569Q8—1461no—
1570Q8—1461no—
1571D4—21no—
1572D4—21no—
1573D4—21no—
1574D4—41no—
1575D4—42no—
1576D4—42no—
1577D4—81no—
1578D4—81no—
1579D4—2922no—
1580D4—2922no—
1581D4—2922no—
1582D4—2922no—
1583D4—2921no—
1584D4—2922no—
1585D4—5841no—
1586D4—5841no—
1587D4—5841no—
1588D4—732no—
1589D4—1462no—
1590D4—1461no—
1591D4—1461no—
1592D4—1461no—
1593D4#41×D7312yes—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—42no—
1605C2×C4—42no—
1606C2×C4—81no—
1607C2×C4—81no—
1608C2×C4—2922no—
1609C2×C4—2922no—
1610C2×C4—2922no—
1611C2×C4—2922no—
1612C2×C4—2921no—
1613C2×C4—5841no—
1614C2×C4—5841no—
1615C2×C4—5841no—
1616C2×C4—5841no—
1617C2×C4—5841no—
1618C2×C4—5841no—
1619C2×C4—5841no—
1620C2×C4—5841no—
1621C2×C4—5841no—
1622C2×C4—5841no—
1623C2×C4—731no—
1624C2×C4—731no—
1625C2×C4—731no—
1626C2×C4—731no—
1627C2×C4—731no—
1628C2×C4—731no—
1629C2×C4—731no—
1630C2×C4—1461no—
1631C2×C4—1461no—
1632C2×C4—1461no—
1633C2×C4—1461no—
1634C2×C4—1461no—
1635C2×C4—1461no—
1636C2×C4—1462no—
1637C2×C4—1461no—
1638C2×C4—1461no—
1639C2×C4C2×D4×D7311yescharacteristic
1640C2×C4C2×D4×D7311yescharacteristic
1641C2×C4C2×D4×D7311yescharacteristic
1642C2×C4C2×D4×D7311yescharacteristic
1643C2×C4C24×D7311yescharacteristic
1644C8—21no—
1645C8—21no—
1646C8—21no—
1647C8—21no—
1648C8—732no—
1649C8—1461no—
1650C8—1461no—
1651C8—1461no—
1652C22—21no—
1653C22—21no—
1654C22—21no—
1655C22—21no—
1656C22—22no—
1657C22—21no—
1658C22—21no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—2921no—
1665C22—2921no—
1666C22—2921no—
1667C22—2921no—
1668C22—2921no—
1669C22—11682no—
1670C22—11682no—
1671C22—1461no—
1672C22—1462no—
1673C22—1461no—
1674C22—1461no—
1675C22C22×D4×D7311yescharacteristic
1676C4—21no—
1677C4—21no—
1678C4—21no—
1679C4—21no—
1680C4—41no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4—2921no—
1687C4—2921no—
1688C4—2921no—
1689C4—2921no—
1690C4—2921no—
1691C4—2921no—
1692C4—732no—
1693C4—1461no—
1694C4—1461no—
1695C4—1461no—
1696C4—1461no—
1697C4—1461no—
1698C4—1461no—
1699C4C2×#41×D7311yescharacteristic
1700C4#1798942211yescharacteristic
1701C2—41no—
1702C2—41no—
1703C2—42no—
1704C2—81no—
1705C2—2922no—
1706C2—2921no—
1707C2—5841no—
1708C2#2262341511yescharacteristic
1709C2#577×D7311yescharacteristic
1710C2#2262470011yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3303C2
socleC22×C73C23×D4
hypercenter#3303D73
hypocenterC73#61493
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3303

Complements

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

NH ≅ G/Ntype
1. #22623896C2semidirect
2. #22623888C2semidirect
3. #22622979C2semidirect
4. #22622825C2semidirect
5. #22622592C2semidirect
6. #22622570C2semidirect
7. #22622544C2semidirect
8. #22622450C2semidirect
9. #22622446C2semidirect
10. #22621855C2semidirect
11. #22621844C2semidirect
12. #22621768C2semidirect
13. #22621761C2semidirect
14. #22621750C2semidirect
15. #22621524C2semidirect
16. #22621457C2semidirect
17. #22621449C2semidirect
18. #22620606C2semidirect
19. #22620594C2semidirect
20. #22620485C2semidirect
21. #22620213C2semidirect
22. #22620209C2semidirect
23. #22620181C2semidirect
24. #22620179C2semidirect
25. #22620088C2semidirect
26. #22620075C2semidirect
27. #22618899C2semidirect
28. #22618766C2semidirect
29. #22618756C2semidirect
30. #22618699C2semidirect
31. C73×#3303C2semidirect
36. #17989312C22semidirect
39. #17989296C22semidirect
42. #17989277C22semidirect
46. #17989271C22semidirect
52. #17989236C22semidirect
59. #17989198C22semidirect
60. #17989197C22semidirect
65. #17989139C22semidirect
72. #17989070C22semidirect
73. #17989066C22semidirect
76. #41×Dic73C22semidirect
78. #17988994C22semidirect
79. #17988993C22semidirect
80. #17988984C22semidirect
81. #17988979C22semidirect
82. #17988978C22semidirect
84. #17988942C22semidirect
85. #17988940C22semidirect
86. #17988936C22semidirect
87. #17988936C22semidirect
89. #17988928C22semidirect
90. #17988928C22semidirect
91. #17988927C22semidirect
92. #17988926C22semidirect
93. #17988919C22semidirect
94. #17988918C22semidirect
95. #17988912C22semidirect
96. #17988908C22semidirect
99. #17988890C22semidirect
101. #17988887C22semidirect
103. #17988881C22semidirect
105. #17988875C22semidirect
106. #17988870C22semidirect
107. #17988870C22semidirect
108. #17988869C22semidirect
109. #17988865C22semidirect
110. #17988844C22semidirect
111. #17988843C22semidirect
114. #17988828C22semidirect
115. #17988827C22semidirect
117. #17988818C22semidirect
118. #17988816C22semidirect
119. #17988814C22semidirect
120. #17988810C22semidirect
121. #17988807C22semidirect
122. #17988802C22semidirect
123. #17988800C22semidirect
124. #17988796C22semidirect
127. #17988791C22semidirect
132. #17988750C22semidirect
133. #17988749C22semidirect
140. #17988732C22semidirect
141. #17988716C22semidirect
142. C8×Dic146C22semidirect
143. #17988699C22semidirect
146. #17988696C22semidirect
147. #17988693C22semidirect
148. #17988691C22semidirect
150. #17988690C22semidirect
151. #17988690C22semidirect
152. #17988688C22semidirect
153. #17988687C22semidirect
155. #17988679C22semidirect
156. #17988679C22semidirect
157. #17988678C22semidirect
158. #17988678C22semidirect
159. #17988678C22semidirect
161. SD16×Dic73C22semidirect
162. #17988674C22semidirect
166. #17988672C22semidirect
169. #17988667C22semidirect
171. #17988659C22semidirect
172. #17988655C22semidirect
174. C8×C22⋊D73C22semidirect
175. #17988647C22semidirect
176. #17988645C22semidirect
177. #17988641C22semidirect
178. #17988630C22semidirect
179. #17988628C22semidirect
180. #17988623C22semidirect
182. #17988580C22semidirect
185. #17988542C22semidirect
186. #17988541C22semidirect
187. C2×C8×Dic73C22semidirect
189. #547×C73C22semidirect
190. #487×C73C22semidirect
191. #485×C73C22semidirect
192. #485×C73C22semidirect
193. #476×C73C22semidirect
195. #465×C73C22semidirect
196. #461×C73C22semidirect
198. #449×C73C22semidirect
199. C4×D8×C73C22semidirect
200. C8×D4×C73C22semidirect
201. #416×C73C22semidirect
202. #416×C73C22semidirect
541. #11924013#41semidirect
866. #3303D73semidirect
887. C73#61493semidirect
910. #547C2×D73semidirect
946. #487C2×D73semidirect
952. #485C2×D73semidirect
953. #485C2×D73semidirect
967. #476C2×D73semidirect
983. #465C2×D73semidirect
993. #461C2×D73semidirect
1007. #449C2×D73semidirect
1037. C4×D8C2×D73semidirect
1043. C8×D4C2×D73semidirect
1052. #416C2×D73semidirect
1053. #416C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226238962
#226238882
#226229792
#226228252
#226225922
#226225702
#226225442
#226224502
#226224462
#226218552
#226218442
#226217682
#226217612
#226217502
#226215242
#226214572
#226214492
#226206062
#226205942
#226204852
#226202132
#226202092
#226201812
#226201792
#226200882
#226200752
#226188992
#226187662
#226187562
#226186992
C73×#33032
#6149373