Finite Group Databasebeta

← #33978578

Subgroups — #33978578

Order 18688.

1856 conjugacy classes of subgroups.

The subgroup lattice has 1756 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623885C211yesmaximal, characteristic, complemented
2#22623543C211yesmaximal, characteristic, complemented
3#22622981C211yesmaximal, characteristic, complemented
4#22622957C211yesmaximal, characteristic, complemented
5#22622718C211yesmaximal, characteristic, complemented
6#22622650C211yesmaximal, characteristic, complemented
7#22622207C211yesmaximal, characteristic, complemented
8#22622157C211yesmaximal, characteristic, complemented
9#22622003C211yesmaximal, characteristic, complemented
10#22621997C211yesmaximal, characteristic, complemented
11#22621971C211yesmaximal, characteristic, complemented
12#22621969C211yesmaximal, characteristic, complemented
13#22621571C211yesmaximal, characteristic, complemented
14#22621524C211yesmaximal, characteristic, complemented
15#22621490C211yesmaximal, characteristic, complemented
16#22621457C211yesmaximal, characteristic, complemented
17#22621456C211yesmaximal, characteristic, complemented
18#22621302C211yesmaximal, characteristic, complemented
19#22621297C211yesmaximal, characteristic, complemented
20#22621263C211yesmaximal, characteristic, complemented
21#22620933C211yesmaximal, characteristic, complemented
22#22620929C211yesmaximal, characteristic, complemented
23#22620885C211yesmaximal, characteristic, complemented
24#22620044C211yesmaximal, characteristic, complemented
25#22620033C211yesmaximal, characteristic, complemented
26#22619950C211yesmaximal, characteristic, complemented
27#22619427C211yesmaximal, characteristic, complemented
28#22619420C211yesmaximal, characteristic, complemented
29#22619382C211yesmaximal, characteristic, complemented
30#22619043C211yesmaximal, characteristic, complemented
31C73×#3269C211yesmaximal, characteristic, complemented
32C2×#14556620C2211yescharacteristic, complemented
33C2×#14556616C2211yescharacteristic
34C2×#14556615C2211yescharacteristic
35C2×#14556611C2211yescharacteristic, complemented
36#17989319C2211yescharacteristic
37#17989312C2211yescharacteristic, complemented
38#17989309C2211yescharacteristic
39#17989308C2211yescharacteristic
40#17989308C2211yescharacteristic, complemented
41#17989307C2211yescharacteristic, complemented
42#17989299—21no—
43#17989274—21no—
44#17989274—21no—
45#17989272—21no—
46#17989266—21no—
47#17989264—21no—
48D4×Dic146C2211yescharacteristic, complemented
49Q8×C22⋊D73C2211yescharacteristic
50#17989247C2211yescharacteristic
51#17989243—21no—
52#17989236C2211yescharacteristic
53#17989236C2211yescharacteristic, complemented
54#17989233C2211yescharacteristic
55#17989226—21no—
56#17989225C2211yescharacteristic
57#17989221C2211yescharacteristic
58#17989207—21no—
59#17989174—21no—
60#17989171—21no—
61#17989142C2211yescharacteristic, complemented
62#17989139C2211yescharacteristic, complemented
63#17989139C2211yescharacteristic, complemented
64#17989133C2211yescharacteristic
65#17989124C2211yescharacteristic
66#17989123C2211yescharacteristic
67#17989118—21no—
68#17989118C2211yescharacteristic
69#17989114—21no—
70#17989114—21no—
71C2×#14556580C2211yescharacteristic
72#124×D73C2211yescharacteristic
73#17989059—21no—
74#41×Dic73C2211yescharacteristic, complemented
75#41×Dic73C2211yescharacteristic, complemented
76C4×#11924027C2211yescharacteristic
77C4×#11924027C2211yescharacteristic, complemented
78C2×#14556556—21no—
79#17988980C2211yescharacteristic
80#17988980C2211yescharacteristic, complemented
81#17988979C2211yescharacteristic
82#17988965C2211yescharacteristic, complemented
83#17988958C2211yescharacteristic
84#17988948C2211yescharacteristic
85#17988948C2211yescharacteristic, complemented
86#17988947C2211yescharacteristic
87#17988946C2211yescharacteristic, complemented
88#17988936C2211yescharacteristic, complemented
89#17988932C2211yescharacteristic
90#17988929C2211yescharacteristic, complemented
91#17988927C2211yescharacteristic, complemented
92#17988925C2211yescharacteristic, complemented
93#17988914C2211yescharacteristic
94#17988912C2211yescharacteristic
95#17988908C2211yescharacteristic
96#17988893C2211yescharacteristic, complemented
97#17988892C2211yescharacteristic, complemented
98#17988892C2211yescharacteristic, complemented
99#17988885C2211yescharacteristic, complemented
100#17988882C2211yescharacteristic, complemented
101#17988881C2211yescharacteristic, complemented
102#17988878C2211yescharacteristic, complemented
103#17988875C2211yescharacteristic, complemented
104#17988870C2211yescharacteristic, complemented
105#17988866C2211yescharacteristic
106#17988845C2211yescharacteristic, complemented
107#17988843C2211yescharacteristic, complemented
108#17988842C2211yescharacteristic, complemented
109#17988842C2211yescharacteristic, complemented
110#17988836C2211yescharacteristic
111#17988836C2211yescharacteristic
112#17988831C2211yescharacteristic
113#17988826C2211yescharacteristic, complemented
114#17988818C2211yescharacteristic
115#17988816C2211yescharacteristic
116#17988812C2211yescharacteristic
117#17988812C2211yescharacteristic, complemented
118#17988811C2211yescharacteristic
119#17988811C2211yescharacteristic
120#17988811C2211yescharacteristic
121#17988811C2211yescharacteristic, complemented
122#17988811C2211yescharacteristic, complemented
123#17988811C2211yescharacteristic, complemented
124#17988810C2211yescharacteristic
125#17988808C2211yescharacteristic, complemented
126#17988807C2211yescharacteristic, complemented
127#17988807C2211yescharacteristic, complemented
128#17988806C2211yescharacteristic, complemented
129#17988804C2211yescharacteristic
130#17988804C2211yescharacteristic
131#17988804C2211yescharacteristic, complemented
132#17988804C2211yescharacteristic, complemented
133#17988802C2211yescharacteristic
134#17988800C2211yescharacteristic, complemented
135#17988796C2211yescharacteristic, complemented
136#17988795C2211yescharacteristic, complemented
137#17988795C2211yescharacteristic, complemented
138#17988791C2211yescharacteristic
139#17988790C2211yescharacteristic, complemented
140#17988790C2211yescharacteristic, complemented
141#17988789C2211yescharacteristic, complemented
142#17988785C2211yescharacteristic
143#17988780C2211yescharacteristic
144#17988751C2211yescharacteristic, complemented
145#17988749C2211yescharacteristic, complemented
146#17988749C2211yescharacteristic, complemented
147#17988747C2211yescharacteristic, complemented
148#17988746C2211yescharacteristic, complemented
149#17988743C2211yescharacteristic, complemented
150#17988741C2211yescharacteristic, complemented
151#17988741C2211yescharacteristic, complemented
152#17988740C2211yescharacteristic
153#17988737C2211yescharacteristic
154#17988736C2211yescharacteristic
155#17988736C2211yescharacteristic
156#17988733C2211yescharacteristic
157#17988732C2211yescharacteristic
158#17988716C2211yescharacteristic, complemented
159#17988715C2211yescharacteristic, complemented
160#17988699C2211yescharacteristic, complemented
161#17988697C2211yescharacteristic, complemented
162#17988692C2211yescharacteristic, complemented
163#17988691C2211yescharacteristic, complemented
164#17988689C2211yescharacteristic, complemented
165#17988688C2211yescharacteristic, complemented
166#17988684C2211yescharacteristic, complemented
167Q16×Dic73C2211yescharacteristic, complemented
168SD16×Dic73C2211yescharacteristic, complemented
169#17988672C2211yescharacteristic
170#17988667C2211yescharacteristic
171#17988663C2211yescharacteristic
172#17988662C2211yescharacteristic
173#17988659C2211yescharacteristic, complemented
174#17988658C2211yescharacteristic, complemented
175#17988655C2211yescharacteristic, complemented
176#17988642C2211yescharacteristic, complemented
177#17988641C2211yescharacteristic, complemented
178#17988637C2211yescharacteristic, complemented
179#17988610C2211yescharacteristic, complemented
180#17988609C2211yescharacteristic, complemented
181C2×#14556520C2211yescharacteristic, complemented
182#17988596C2211yescharacteristic, complemented
183#17988594C2211yescharacteristic, complemented
184#17988593C2211yescharacteristic
185#17988590C2211yescharacteristic
186#17988584C2211yescharacteristic, complemented
187#17988583C2211yescharacteristic, complemented
188C2×#137×C73C2211yescharacteristic, complemented
189C2×#135×C73C2211yescharacteristic, complemented
190#548×C73C2211yescharacteristic
191#547×C73C2211yescharacteristic, complemented
192#497×C73C2211yescharacteristic, complemented
193#468×C73C2211yescharacteristic
194#467×C73C2211yescharacteristic, complemented
195#463×C73C2211yescharacteristic, complemented
196#462×C73C2211yescharacteristic, complemented
197#452×C73C2211yescharacteristic, complemented
198#452×C73C2211yescharacteristic, complemented
199#451×C73C2211yescharacteristic, complemented
200#449×C73C2211yescharacteristic
201#440×C73C2211yescharacteristic, complemented
202#435×C73C2211yescharacteristic, complemented
203C2×#11924028C2311yescharacteristic
204C2×#11924027D411yescharacteristic
205C2×#11924027C2311yescharacteristic
206C22×Dic146—21no—
207C2×Q8×D73C2311yescharacteristic
208C22×D292C2311yescharacteristic
209C2×D4×D73—21no—
210C2×D4×D73C2311yescharacteristic
211#14556620—42no—
212#14556616—42no—
213#14556615—42no—
214#14556611—42no—
215C2×Dic292C2311yescharacteristic
216C2×#11924018C2311yescharacteristic
217C2×#11924018C2311yescharacteristic
218C2×#11924018C2311yescharacteristic
219C2×#11924018C2311yescharacteristic
220C2×#11924017C2311yescharacteristic
221C2×#11924017C2311yescharacteristic
222C2×#11924016C2311yescharacteristic
223C2×#11924016C2311yescharacteristic
224C2×#11924015C2311yescharacteristic
225C2×#11924015C2311yescharacteristic
226C2×#11924015C2311yescharacteristic
227C2×#11924015C2311yescharacteristic
228C2×#11924013C2311yescharacteristic
229C2×#11924013C2311yescharacteristic
230C2×#11924012C2311yescharacteristic
231C2×#11924011C2311yescharacteristic
232C2×#11924011C2311yescharacteristic
233C22×#10596831C2311yescharacteristic
234#14556591C2311yescharacteristic
235#14556590C2311yescharacteristic
236#14556590C2311yescharacteristic
237#14556589—21no—
238#14556589C2311yescharacteristic
239#14556589C2311yescharacteristic
240#14556589C2311yescharacteristic
241#14556587C2311yescharacteristic
242#14556586—21no—
243#14556586—21no—
244#14556586—21no—
245#14556586—21no—
246#14556586—21no—
247#14556585—21no—
248#14556584—21no—
249#14556584—21no—
250#14556584—21no—
251#14556584—21no—
252#14556584—21no—
253#14556582—21no—
254#14556582—21no—
255#14556582C2311yescharacteristic
256#14556581—21no—
257#14556581—21no—
258#14556581—21no—
259#14556581—21no—
260#14556580—21no—
261#14556580—21no—
262#14556580C2311yescharacteristic
263#14556580C2311yescharacteristic
264#14556580C2311yescharacteristic
265#14556580C2311yescharacteristic
266#14556579C2311yescharacteristic
267#14556578—21no—
268#14556578C2311yescharacteristic
269#14556577—21no—
270#14556577—21no—
271#14556577—21no—
272#14556577—21no—
273#14556577—21no—
274#14556577—21no—
275#14556576—21no—
276#14556576—21no—
277#14556575—21no—
278#14556575—21no—
279#14556574—21no—
280#14556574—21no—
281#14556574—21no—
282#14556573—21no—
283#14556572—21no—
284#14556572—21no—
285#14556572—21no—
286#14556571—21no—
287#14556570—21no—
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#14556567—21no—
299#14556567C2311yescharacteristic
300#14556567C2311yescharacteristic
301#14556567C2311yescharacteristic
302#14556566C2311yescharacteristic
303#14556565C2311yescharacteristic
304#14556564—21no—
305#14556564—21no—
306#14556564—21no—
307#14556563—21no—
308#14556563—21no—
309#14556563—21no—
310#14556563—21no—
311#14556563—21no—
312#14556561—21no—
313#14556559—21no—
314#14556559—21no—
315#14556559—21no—
316Q8×Dic73C2311yescharacteristic
317Q8×Dic73C2311yescharacteristic
318Q8×Dic73C2311yescharacteristic
319Q8×Dic73C2311yescharacteristic
320Q8×Dic73C2311yescharacteristic
321C4×Dic146C2311yescharacteristic
322C4×Dic146C2311yescharacteristic
323#14556556—21no—
324#14556556—21no—
325#14556556—21no—
326#14556556—21no—
327#14556556—21no—
328#14556556—21no—
329#14556556—21no—
330#14556556D411yescharacteristic
331#14556556C2311yescharacteristic
332#14556556C2311yescharacteristic
333C4×D292—21no—
334C4×D292C2311yescharacteristic
335D4×Dic73—21no—
336D4×Dic73—21no—
337D4×Dic73—21no—
338D4×Dic73—21no—
339D4×Dic73—21no—
340D4×Dic73D411yescharacteristic
341D4×Dic73C2311yescharacteristic
342D4×Dic73C2311yescharacteristic
343D4×Dic73C2311yescharacteristic
344D4×Dic73C2311yescharacteristic
345#14556553—21no—
346#14556553C2311yescharacteristic
347C4×C22⋊D73—21no—
348C4×C22⋊D73—21no—
349C4×C22⋊D73—21no—
350C4×C22⋊D73—21no—
351C4×C22⋊D73C2311yescharacteristic
352C4×C22⋊D73C2311yescharacteristic
353#14556551—21no—
354#14556551—21no—
355#14556551—21no—
356#14556551D411yescharacteristic
357#14556551D411yescharacteristic
358#14556550—21no—
359#14556550—21no—
360#14556550C2311yescharacteristic
361#14556550C2311yescharacteristic
362#14556549—21no—
363#14556549—21no—
364#14556549D411yescharacteristic
365#14556549C2311yescharacteristic
366#14556548—21no—
367#14556548—21no—
368#14556547—21no—
369#14556547—21no—
370#14556547—21no—
371#14556547—21no—
372#14556547D411yescharacteristic
373#14556547D411yescharacteristic
374C2×#11924007—21no—
375C2×#11924007—21no—
376C2×#11924005—21no—
377C2×#11924005—21no—
378C2×#11924005—21no—
379C22⋊C4×D73—21no—
380C22⋊C4×D73—21no—
381C22⋊C4×D73—21no—
382C2×C4×Dic73—21no—
383C2×C4×Dic73—21no—
384C2×C4×Dic73—21no—
385C2×C4×Dic73C2311yescharacteristic
386C2×C4×Dic73C2311yescharacteristic
387C42×D73C2311yescharacteristic
388#14556525C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556524C2311yescharacteristic
391#14556523C2311yescharacteristic
392#14556523C2311yescharacteristic
393#14556522C2311yescharacteristic
394#14556522C2311yescharacteristic
395C4⋊#10596831C2311yescharacteristic
396#14556520C2311yescharacteristic
397#14556520C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556516C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556516C2311yescharacteristic
408#14556515C2311yescharacteristic
409#14556515C2311yescharacteristic
410#14556515C2311yescharacteristic
411#14556515C2311yescharacteristic
412#14556515C2311yescharacteristic
413#14556515C2311yescharacteristic
414#14556515C2311yescharacteristic
415#14556515C2311yescharacteristic
416#14556514C2311yescharacteristic
417#14556514C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556513C2311yescharacteristic
422#14556513C2311yescharacteristic
423#14556513C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556512C2311yescharacteristic
427#14556512C2311yescharacteristic
428#14556511C2311yescharacteristic
429#14556511C2311yescharacteristic
430C22⋊#10596831C2311yescharacteristic
431C22⋊#10596831C2311yescharacteristic
432#14556503C2311yescharacteristic
433#14556503C2311yescharacteristic
434#14556502C2311yescharacteristic
435#14556501C2311yescharacteristic
436#14556501C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C8×Dic73C2311yescharacteristic
439C2×#41×C73C2311yescharacteristic
440C2×#41×C73C2311yescharacteristic
441C2×#41×C73C2311yescharacteristic
442C22×Q8×C73C2311yescharacteristic
443#137×C73—42no—
444#135×C73—42no—
445C2×Q16×C73C2311yescharacteristic
446C2×Q16×C73C2311yescharacteristic
447C2×Q16×C73C2311yescharacteristic
448C2×Q16×C73C2311yescharacteristic
449C2×SD16×C73C2311yescharacteristic
450C2×SD16×C73C2311yescharacteristic
451C2×SD16×C73C2311yescharacteristic
452C2×SD16×C73C2311yescharacteristic
453C2×D8×C73C2311yescharacteristic
454C2×M16×C73C2311yescharacteristic
455C22×C8×C73C2311yescharacteristic
456C4⋊Q8×C73C2311yescharacteristic
457#124×C73—21no—
458#124×C73C2311yescharacteristic
459#123×C73—21no—
460#123×C73—21no—
461C22⋊Q8×C73—21no—
462C22⋊Q8×C73C2311yescharacteristic
463C22⋊Q8×C73C2311yescharacteristic
464C22⋊Q8×C73C2311yescharacteristic
465#121×C73—21no—
466#121×C73—21no—
467#121×C73C2311yescharacteristic
468C4×Q8×C73C2311yescharacteristic
469C4×D4×C73—21no—
470C4×D4×C73C2311yescharacteristic
471C4×D4×C73C2311yescharacteristic
472C2×C4⋊C4×C73—21no—
473#107×C73C2311yescharacteristic
474C4⋊C8×C73C2311yescharacteristic
475#103×C73C2311yescharacteristic
476#103×C73C2311yescharacteristic
477#103×C73C2311yescharacteristic
478#103×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481C22⋊C8×C73C2311yescharacteristic
482C22⋊C8×C73C2311yescharacteristic
483#97×C73C2311yescharacteristic
484C23×D73—21no—
485C23×D73—21no—
486#11924028—41no—
487#11924028—41no—
488#11924027—22no—
489#11924027—41no—
490#11924027—42no—
491C2×Dic146—21no—
492C2×Dic146—21no—
493C2×Dic146—21no—
494C2×Dic146—21no—
495C2×Dic146—44no—
496C2×Dic146C2×D411yescharacteristic
497C2×Dic146C2411yescharacteristic
498C2×Dic146C2411yescharacteristic
499Q8×D73—41no—
500Q8×D73—41no—
501C2×D292—21no—
502C2×D292—21no—
503C2×D292—41no—
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⋊D73—21no—
512C2×C22⋊D73—21no—
513C2×C22⋊D73C2×D411yescharacteristic
514C2×C22⋊D73C2×D411yescharacteristic
515D4×D73—41no—
516D4×D73—41no—
517D4×D73—44no—
518C22×Dic73—21no—
519C22×Dic73—21no—
520C22×Dic73—21no—
521C22×Dic73—21no—
522C22×Dic73—21no—
523C22×Dic73C2×D411yescharacteristic
524C22×Dic73C2×D411yescharacteristic
525C22×Dic73C2×D411yescharacteristic
526C22×Dic73C2×D411yescharacteristic
527C2×C4×D73—21no—
528C2×C4×D73—21no—
529C2×C4×D73—21no—
530C2×C4×D73—21no—
531C2×C4×D73C2×D411yescharacteristic
532C2×C4×D73C2×D411yescharacteristic
533C2×C4×D73C2411yescharacteristic
534Dic292—41no—
535#11924018—41no—
536#11924018—41no—
537#11924018—41no—
538#11924018—41no—
539#11924017—41no—
540#11924017—41no—
541#11924016—22no—
542#11924016—41no—
543#11924015—41no—
544#11924015—41no—
545#11924015—41no—
546#11924015—41no—
547#11924013—22no—
548#11924013—22no—
549#11924012—41no—
550#11924011—41no—
551#11924011—41no—
552C2×#10596831—41no—
553C2×#10596831C2411yescharacteristic
554C2×#10596831C2411yescharacteristic
555C2×#10596831C2411yescharacteristic
556C2×#10596831C2411yescharacteristic
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⋊Dic73C2411yescharacteristic
566C4⋊Dic73C2411yescharacteristic
567C4⋊Dic73C2411yescharacteristic
568C4⋊Dic73C2411yescharacteristic
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#11924007—21no—
585#11924007—21no—
586#11924007—21no—
587#11924007C2×D411yescharacteristic
588#11924007C2×D411yescharacteristic
589#11924007C2×D411yescharacteristic
590#11924007C2×D411yescharacteristic
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⋊Dic73—21no—
601C22⋊Dic73—21no—
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#11924005—21no—
619#11924005—21no—
620#11924005—21no—
621#11924005—21no—
622#11924005C2×D411yescharacteristic
623#11924005C2×D411yescharacteristic
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×Dic73—21no—
633C4×Dic73—21no—
634C4×Dic73—21no—
635C4×Dic73C2×D411yescharacteristic
636C4×Dic73C2×D411yescharacteristic
637C4×Dic73C2×D411yescharacteristic
638C4×Dic73C2×D411yescharacteristic
639C4×Dic73C2×D411yescharacteristic
640C4×Dic73C2×D411yescharacteristic
641C4×Dic73C2411yescharacteristic
642C4×Dic73C2411yescharacteristic
643C4×Dic73C2411yescharacteristic
644#41×C73—22no—
645#41×C73—22no—
646#41×C73—41no—
647#41×C73—41no—
648#41×C73—41no—
649#41×C73—41no—
650C2×Q8×C73—21no—
651C2×Q8×C73—41no—
652C2×Q8×C73—41no—
653C2×Q8×C73C2411yescharacteristic
654C2×Q8×C73C2411yescharacteristic
655C2×Q8×C73C2411yescharacteristic
656C2×Q8×C73C2411yescharacteristic
657C2×D4×C73—21no—
658C2×D4×C73—21no—
659C2×D4×C73—21no—
660C2×D4×C73—21no—
661C2×D4×C73C2×D411yescharacteristic
662C2×D4×C73C2411yescharacteristic
663C2×D4×C73C2411yescharacteristic
664C22×C4×C73—21no—
665C22×C4×C73—21no—
666C22×C4×C73—21no—
667C22×C4×C73—21no—
668C22×C4×C73—21no—
669C22×C4×C73C2411yescharacteristic
670C22×C4×C73C2411yescharacteristic
671Q16×C73—41no—
672Q16×C73—41no—
673Q16×C73—41no—
674Q16×C73—41no—
675SD16×C73—22no—
676SD16×C73—22no—
677SD16×C73—41no—
678SD16×C73—41no—
679D8×C73—22no—
680M16×C73—41no—
681C2×C8×C73—41no—
682C2×C8×C73C2411yescharacteristic
683C2×C8×C73C2411yescharacteristic
684C2×C8×C73C2411yescharacteristic
685C2×C8×C73C2411yescharacteristic
686C4⋊C4×C73—21no—
687C4⋊C4×C73—21no—
688C4⋊C4×C73—21no—
689C4⋊C4×C73—21no—
690C4⋊C4×C73—21no—
691C4⋊C4×C73—21no—
692C4⋊C4×C73C2×D411yescharacteristic
693C4⋊C4×C73C2411yescharacteristic
694C4⋊C4×C73C2411yescharacteristic
695C22⋊C4×C73—21no—
696C22⋊C4×C73—21no—
697C22⋊C4×C73—21no—
698C22⋊C4×C73—21no—
699C22⋊C4×C73—21no—
700C22⋊C4×C73—21no—
701C22⋊C4×C73—21no—
702C22⋊C4×C73C2×D411yescharacteristic
703C22⋊C4×C73C2×D411yescharacteristic
704C42×C73—21no—
705C42×C73C2411yescharacteristic
706C23×C73—21no—
707C23×C73—21no—
708C23×C73C22×D411yescharacteristic
709C23×C73C22×D411yescharacteristic
710C22×D73—21no—
711C22×D73—21no—
712C22×D73—42no—
713C22×D73—42no—
714C22×D73—81no—
715C22×D73—81no—
716C22×D73—81no—
717C22×D73—81no—
718C22×D73C22×D411yescharacteristic
719Q8×C73—21no—
720Q8×C73—21no—
721Q8×C73—21no—
722Q8×C73—21no—
723Q8×C73—21no—
724Q8×C73—21no—
725Q8×C73—21no—
726Q8×C73—21no—
727Q8×C73—81no—
728D4×C73—21no—
729D4×C73—21no—
730D4×C73—21no—
731D4×C73—41no—
732D4×C73—42no—
733D4×C73—42no—
734D4×C73—42no—
735D4×C73—81no—
736D4×C73H(5,𝔽2)12yes—
737C2×C4×C73—21no—
738C2×C4×C73—21no—
739C2×C4×C73—21no—
740C2×C4×C73—21no—
741C2×C4×C73—21no—
742C2×C4×C73—21no—
743C2×C4×C73—21no—
744C2×C4×C73—21no—
745C2×C4×C73—21no—
746C2×C4×C73—21no—
747C2×C4×C73—42no—
748C2×C4×C73—42no—
749C2×C4×C73—42no—
750C2×C4×C73—81no—
751C2×C4×C73—81no—
752C2×C4×C73C22×D411yescharacteristic
753C2×C4×C73C22×D411yescharacteristic
754C2×C4×C73C22×D411yescharacteristic
755C2×C4×C73C22×D411yescharacteristic
756C2×C4×C73C2511yescharacteristic
757C22⋊D73—22no—
758C22⋊D73—41no—
759C22⋊D73—42no—
760C22⋊D73—42no—
761C22⋊D73—81no—
762C22⋊D73—81no—
763C22⋊D73—81no—
764C22⋊D73—81no—
765C2×Dic73—22no—
766C2×Dic73—21no—
767C2×Dic73—21no—
768C2×Dic73—21no—
769C2×Dic73—21no—
770C2×Dic73—21no—
771C2×Dic73—21no—
772C2×Dic73—41no—
773C2×Dic73—41no—
774C2×Dic73—41no—
775C2×Dic73—42no—
776C2×Dic73—42no—
777C2×Dic73—42no—
778C2×Dic73—42no—
779C2×Dic73—81no—
780C2×Dic73C22×D411yescharacteristic
781C2×Dic73C22×D411yescharacteristic
782C2×Dic73C22×D411yescharacteristic
783C2×Dic73C22×D411yescharacteristic
784C2×Dic73C22×D411yescharacteristic
785C2×Dic73C22×D411yescharacteristic
786C2×Dic73C22×D411yescharacteristic
787D292—21no—
788D292—21no—
789D292—21no—
790D292—21no—
791D292—42no—
792D292—81no—
793C4×D73—21no—
794C4×D73—21no—
795C4×D73—41no—
796C4×D73—41no—
797C4×D73—42no—
798C4×D73—81no—
799C4×D73—81no—
800C4×D73—81no—
801Dic146—22no—
802Dic146—21no—
803Dic146—21no—
804Dic146—21no—
805Dic146—21no—
806Dic146—42no—
807Dic146—42no—
808Dic146—42no—
809Dic146—81no—
810C8×C73—21no—
811C8×C73—21no—
812C8×C73—21no—
813C8×C73—21no—
814#10596831—21no—
815#10596831—21no—
816#10596831—21no—
817#10596831—21no—
818C22×C73—21no—
819C22×C73—21no—
820C22×C73—22no—
821C22×C73—21no—
822C22×C73—21no—
823C22×C73—21no—
824C22×C73—21no—
825C22×C73—41no—
826C22×C73—41no—
827C22×C73—41no—
828C22×C73—41no—
829C22×C73—41no—
830C22×C73C23×D411yescharacteristic
831C2×D73—21no—
832C2×D73—21no—
833C2×D73—21no—
834C2×D73—41no—
835C2×D73—41no—
836C2×D73—41no—
837C2×D73—41no—
838C2×D73—41no—
839C2×D73—41no—
840C2×D73—162no—
841C2×D73—162no—
842C4×C73—21no—
843C4×C73—21no—
844C4×C73—21no—
845C4×C73—21no—
846C4×C73—41no—
847C4×C73—41no—
848C4×C73—41no—
849C4×C73—41no—
850C4×C73—41no—
851C4×C73—41no—
852C4×C73C2×H(5,𝔽2)11yescharacteristic
853C4×C73#58511yescharacteristic
854Dic73—21no—
855Dic73—21no—
856Dic73—21no—
857Dic73—21no—
858Dic73—21no—
859Dic73—21no—
860Dic73—41no—
861Dic73—41no—
862Dic73—41no—
863Dic73—41no—
864Dic73—41no—
865Dic73—41no—
866Dic73#57512yes—
867#61973—731nomaximal, Sylow
868C2×C73—41no—
869C2×C73—41no—
870C2×C73—42no—
871C2×C73—81no—
872C2×C73#348811yescharacteristic
873C2×C73C2×#57511yescharacteristic
874C2×C73#358611yescharacteristic
875D73—41no—
876D73—81no—
877D73—81no—
878#3514—731no—
879#3482—731no—
880#3400—731no—
881#3398—731no—
882#3373—731no—
883#3367—731no—
884#3328—731no—
885#3324—731no—
886#3313—731no—
887#3313—731no—
888#3311—731no—
889#3311—731no—
890#3276—731no—
891#3272—731no—
892#3269—731no—
893#3269D7311yescharacteristic, complemented
894#3267—731no—
895#3267—731no—
896#3252—731no—
897#3252—731no—
898#3248—731no—
899#3215—731no—
900#3215—731no—
901#3210—731no—
902#3111—731no—
903#3111—731no—
904#3102—731no—
905#3040—731no—
906#3040—731no—
907#3035—731no—
908#2989—731no—
909C73#6197311yescharacteristic, complemented, Sylow
910C2×#137—731no—
911C2×#137C2×D7311yescharacteristic, complemented
912C2×AGL(1,ℤ/8)—731no—
913C2×AGL(1,ℤ/8)—731no—
914C2×#135—731no—
915C2×#135C2×D7311yescharacteristic, complemented
916#559—731no—
917#557—731no—
918#556—731no—
919#556—731no—
920#556—731no—
921#556—731no—
922#555—1461no—
923#552—1461no—
924#552—1461no—
925#552—1461no—
926#551—1461no—
927#551—1461no—
928D4×Q8—731no—
929D4×Q8—731no—
930#548—731no—
931#548—1461no—
932#548C2×D7311yescharacteristic
933#547—731no—
934#547—731no—
935#547C2×D7311yescharacteristic, complemented
936#546—731no—
937#546—731no—
938#546—1461no—
939D42—731no—
940#542—1461no—
941#538—1461no—
942#538—1461no—
943#533—731no—
944#533—731no—
945#533—731no—
946#532—731no—
947#529—731no—
948#529—731no—
949#529—731no—
950#529—1461no—
951#529—1461no—
952#529—1461no—
953C2×#124—731no—
954C2×#124—731no—
955#518—1461no—
956C4×#41—731no—
957C4×#41—731no—
958C4×#41—731no—
959C4×#41—731no—
960C2×C4×Q8—1461no—
961#497—731no—
962#497—731no—
963#497—731no—
964#497C2×D7311yescharacteristic, complemented
965#494—731no—
966#492—731no—
967#489—731no—
968#489—731no—
969#489—731no—
970#489—731no—
971#487—731no—
972#486—731no—
973#485—731no—
974#485—731no—
975#485—731no—
976#482—731no—
977#482—731no—
978#482—731no—
979#479—731no—
980#479—731no—
981#479—731no—
982#478—731no—
983#477—731no—
984#477—731no—
985#476—731no—
986#476—731no—
987#475—731no—
988#474—731no—
989#470—731no—
990#470—731no—
991#470—731no—
992#470—731no—
993#468—731no—
994#468—731no—
995#468—731no—
996#468C2×D7311yescharacteristic
997#467—731no—
998#467C2×D7311yescharacteristic, complemented
999#465—731no—
1000#465—731no—
1001#464—731no—
1002#464—731no—
1003#464—731no—
1004#464—731no—
1005#464—731no—
1006#464—731no—
1007#464—731no—
1008#464—731no—
1009#464—731no—
1010#464—731no—
1011#464—731no—
1012#464—731no—
1013#464—731no—
1014#463—731no—
1015#463—731no—
1016#463—731no—
1017#463—731no—
1018#463—731no—
1019#463—731no—
1020#463C2×D7311yescharacteristic, complemented
1021#462—731no—
1022#462—731no—
1023#462—731no—
1024#462C2×D7311yescharacteristic, complemented
1025#461—731no—
1026#461—731no—
1027#461—731no—
1028#461—731no—
1029#460—731no—
1030#459—731no—
1031#452—731no—
1032#452—731no—
1033#452—731no—
1034#452—731no—
1035#452—731no—
1036#452C2×D7311yescharacteristic, complemented
1037#452C2×D7311yescharacteristic, complemented
1038#451—731no—
1039#451—731no—
1040#451—731no—
1041#451C2×D7311yescharacteristic, complemented
1042#450—731no—
1043#450—731no—
1044#450—731no—
1045#450—731no—
1046#449—731no—
1047#449—731no—
1048#449C2×D7311yescharacteristic
1049#446—731no—
1050#446—731no—
1051#442—731no—
1052#442—731no—
1053#441—731no—
1054#441—731no—
1055#440—731no—
1056#440—731no—
1057#440—731no—
1058#440C2×D7311yescharacteristic, complemented
1059C4×Q16—731no—
1060C4×SD16—731no—
1061C4×SD16—731no—
1062C4×D8—731no—
1063#436—731no—
1064#436—731no—
1065#435—731no—
1066#435—731no—
1067#435—731no—
1068#435C2×D7311yescharacteristic, complemented
1069#432—731no—
1070#432—731no—
1071#431—731no—
1072#423—731no—
1073#423—731no—
1074C2×C4⋊C8—731no—
1075#419—731no—
1076#419—731no—
1077#418—731no—
1078#418—731no—
1079#416—731no—
1080#416—731no—
1081C2×#41—731no—
1082C2×#41—731no—
1083C2×#41—731no—
1084C2×#41C22×D7311yescharacteristic
1085C2×#41C22×D7311yescharacteristic
1086C2×#41C22×D7311yescharacteristic
1087C22×Q8—731no—
1088C22×Q8—1461no—
1089C22×Q8C22×D7311yescharacteristic
1090C22×D4—731no—
1091C22×D4—731no—
1092C22×D4—1461no—
1093#137—42no—
1094#137—2922no—
1095AGL(1,ℤ/8)—2922no—
1096AGL(1,ℤ/8)—2922no—
1097#135—42no—
1098#135—2922no—
1099C2×Q16—731no—
1100C2×Q16—731no—
1101C2×Q16—731no—
1102C2×Q16—731no—
1103C2×Q16—731no—
1104C2×Q16C22×D7311yescharacteristic
1105C2×Q16C22×D7311yescharacteristic
1106C2×Q16C22×D7311yescharacteristic
1107C2×Q16C22×D7311yescharacteristic
1108C2×SD16—731no—
1109C2×SD16—731no—
1110C2×SD16—731no—
1111C2×SD16—731no—
1112C2×SD16—731no—
1113C2×SD16—731no—
1114C2×SD16—731no—
1115C2×SD16—731no—
1116C2×SD16C22×D7311yescharacteristic
1117C2×SD16C22×D7311yescharacteristic
1118C2×SD16C22×D7311yescharacteristic
1119C2×SD16C22×D7311yescharacteristic
1120C2×D8—731no—
1121C2×D8—731no—
1122C2×D8C22×D7311yescharacteristic
1123C2×M16—731no—
1124C2×M16—731no—
1125C2×M16—731no—
1126C2×M16C22×D7311yescharacteristic
1127C22×C8—731no—
1128C22×C8C22×D7311yescharacteristic
1129C4⋊Q8—731no—
1130C4⋊Q8—731no—
1131C4⋊Q8—731no—
1132C4⋊Q8—731no—
1133C4⋊Q8—731no—
1134C4⋊Q8—731no—
1135C4⋊Q8—1461no—
1136C4⋊Q8C22×D7311yescharacteristic
1137#127—731no—
1138#126—1461no—
1139#126—1461no—
1140#126—1461no—
1141#126—1461no—
1142#126—1461no—
1143#126—1461no—
1144#126—1461no—
1145#126—1461no—
1146#126—1461no—
1147#126—1461no—
1148#126—1461no—
1149#125—731no—
1150#125—1461no—
1151#125—1461no—
1152#125—1461no—
1153#125—1461no—
1154#125—1461no—
1155#125—1461no—
1156#124—21no—
1157#124—731no—
1158#124—731no—
1159#124—731no—
1160#124—731no—
1161#124—731no—
1162#124—731no—
1163#124—1461no—
1164#124—1461no—
1165#124—1461no—
1166#124—1461no—
1167#124—1461no—
1168#124—1461no—
1169#124—1461no—
1170#124—1461no—
1171#124—1461no—
1172#124C22×D7311yescharacteristic
1173#123—21no—
1174#123—21no—
1175#123—1461no—
1176#123—1461no—
1177#123—1461no—
1178#123—1461no—
1179#123—1461no—
1180#123—1461no—
1181#123—1461no—
1182#123—1461no—
1183#123—1461no—
1184#123—1461no—
1185#123—1461no—
1186C22⋊Q8—21no—
1187C22⋊Q8—731no—
1188C22⋊Q8—731no—
1189C22⋊Q8—731no—
1190C22⋊Q8—731no—
1191C22⋊Q8—731no—
1192C22⋊Q8—731no—
1193C22⋊Q8—1461no—
1194C22⋊Q8—1461no—
1195C22⋊Q8—1461no—
1196C22⋊Q8—1461no—
1197C22⋊Q8—1461no—
1198C22⋊Q8—1461no—
1199C22⋊Q8—1461no—
1200C22⋊Q8—1461no—
1201C22⋊Q8—1461no—
1202C22⋊Q8—1461no—
1203C22⋊Q8C22×D7311yescharacteristic
1204C22⋊Q8C22×D7311yescharacteristic
1205C22⋊Q8C22×D7311yescharacteristic
1206#121—21no—
1207#121—21no—
1208#121—731no—
1209#121—731no—
1210#121—1461no—
1211#121—1461no—
1212#121—1461no—
1213#121—1461no—
1214#121—1461no—
1215#121—1461no—
1216#121—1461no—
1217#121—1461no—
1218#121C22×D7311yescharacteristic
1219#120—1461no—
1220#120—1461no—
1221#120—1461no—
1222#120—1461no—
1223C4×Q8—731no—
1224C4×Q8—731no—
1225C4×Q8—731no—
1226C4×Q8—731no—
1227C4×Q8—731no—
1228C4×Q8—731no—
1229C4×Q8—731no—
1230C4×Q8—731no—
1231C4×Q8—731no—
1232C4×Q8—731no—
1233C4×Q8—1461no—
1234C4×Q8—1461no—
1235C4×Q8—1461no—
1236C4×Q8—1461no—
1237C4×Q8—1461no—
1238C4×Q8—1461no—
1239C4×Q8—1461no—
1240C4×Q8C22×D7311yescharacteristic
1241C4×D4—21no—
1242C4×D4—731no—
1243C4×D4—731no—
1244C4×D4—731no—
1245C4×D4—731no—
1246C4×D4—731no—
1247C4×D4—731no—
1248C4×D4—731no—
1249C4×D4—731no—
1250C4×D4—731no—
1251C4×D4—731no—
1252C4×D4—731no—
1253C4×D4—1461no—
1254C4×D4—1461no—
1255C4×D4—1461no—
1256C4×D4—1461no—
1257C4×D4—1461no—
1258C4×D4—1461no—
1259C4×D4—1461no—
1260C4×D4—1461no—
1261C4×D4—1461no—
1262C4×D4—1461no—
1263C4×D4—1461no—
1264C4×D4—1461no—
1265C4×D4—1461no—
1266C4×D4—1461no—
1267C4×D4C22×D7311yescharacteristic
1268C4×D4C22×D7311yescharacteristic
1269#117—731no—
1270#117—731no—
1271#117—731no—
1272#117—731no—
1273#117—731no—
1274#117—731no—
1275#117—1461no—
1276#117—1461no—
1277#117—1461no—
1278#117—1461no—
1279#117—1461no—
1280#117—1461no—
1281#117—1461no—
1282#117—1461no—
1283#117—1461no—
1284#117—1461no—
1285C2×C4⋊C4—21no—
1286C2×C4⋊C4—1461no—
1287C2×C4⋊C4—1461no—
1288C2×C22⋊C4—1461no—
1289C2×C22⋊C4—1461no—
1290C2×C22⋊C4—1461no—
1291C2×C22⋊C4—1461no—
1292C2×C22⋊C4—1461no—
1293C2×C22⋊C4—1461no—
1294C2×C42—731no—
1295C2×C42—731no—
1296C2×C42—731no—
1297C2×C42—1461no—
1298C2×C42—1461no—
1299C2×C42—1461no—
1300#107—731no—
1301#107—731no—
1302#107—731no—
1303#107C22×D7311yescharacteristic
1304#106—731no—
1305#106—731no—
1306#106—731no—
1307#106—731no—
1308C4⋊C8—731no—
1309C4⋊C8—731no—
1310C4⋊C8—731no—
1311C4⋊C8—731no—
1312C4⋊C8—731no—
1313C4⋊C8—731no—
1314C4⋊C8—731no—
1315C4⋊C8—731no—
1316C4⋊C8—731no—
1317C4⋊C8C22×D7311yescharacteristic
1318#103—731no—
1319#103—731no—
1320#103—731no—
1321#103—731no—
1322#103—731no—
1323#103—731no—
1324#103—731no—
1325#103—731no—
1326#103—731no—
1327#103—731no—
1328#103—731no—
1329#103—731no—
1330#103—731no—
1331#103—731no—
1332#103C22×D7311yescharacteristic
1333#103C22×D7311yescharacteristic
1334#103C22×D7311yescharacteristic
1335#103C22×D7311yescharacteristic
1336#102—731no—
1337#102—731no—
1338#102—731no—
1339#102—731no—
1340#102—731no—
1341#102—731no—
1342#102—731no—
1343#102—731no—
1344#102—731no—
1345#102—731no—
1346#102—731no—
1347#102—731no—
1348#102C22×D7311yescharacteristic
1349#102C22×D7311yescharacteristic
1350C22⋊C8—731no—
1351C22⋊C8—731no—
1352C22⋊C8—731no—
1353C22⋊C8—731no—
1354C22⋊C8C22×D7311yescharacteristic
1355C22⋊C8C22×D7311yescharacteristic
1356#97—731no—
1357#97—731no—
1358#97—731no—
1359#97C22×D7311yescharacteristic
1360C4×C8—731no—
1361C4×C8—731no—
1362C24—1461no—
1363C24—1461no—
1364#41—22no—
1365#41—22no—
1366#41—41no—
1367#41—41no—
1368#41—41no—
1369#41—41no—
1370#41—2921no—
1371#41—2921no—
1372#41—2921no—
1373#41—2922no—
1374#41—1462no—
1375C2×Q8—21no—
1376C2×Q8—41no—
1377C2×Q8—41no—
1378C2×Q8—2924no—
1379C2×Q8—2921no—
1380C2×Q8—2921no—
1381C2×Q8—731no—
1382C2×Q8—731no—
1383C2×Q8—731no—
1384C2×Q8—1461no—
1385C2×Q8—1461no—
1386C2×Q8—1461no—
1387C2×Q8—1461no—
1388C2×Q8C23×D7311yescharacteristic
1389C2×Q8C23×D7311yescharacteristic
1390C2×Q8C23×D7311yescharacteristic
1391C2×Q8C23×D7311yescharacteristic
1392C2×D4—21no—
1393C2×D4—21no—
1394C2×D4—21no—
1395C2×D4—21no—
1396C2×D4—2921no—
1397C2×D4—2921no—
1398C2×D4—2924no—
1399C2×D4—2921no—
1400C2×D4—2921no—
1401C2×D4—731no—
1402C2×D4—731no—
1403C2×D4—731no—
1404C2×D4—731no—
1405C2×D4—1461no—
1406C2×D4—1461no—
1407C2×D4—1461no—
1408C2×D4—1461no—
1409C2×D4—1461no—
1410C2×D4—1461no—
1411C2×D4—1461no—
1412C2×D4—1461no—
1413C2×D4D4×D7311yescharacteristic
1414C2×D4C23×D7311yescharacteristic
1415C2×D4C23×D7311yescharacteristic
1416C22×C4—21no—
1417C22×C4—21no—
1418C22×C4—21no—
1419C22×C4—21no—
1420C22×C4—21no—
1421C22×C4—731no—
1422C22×C4—731no—
1423C22×C4—731no—
1424C22×C4—731no—
1425C22×C4—731no—
1426C22×C4—731no—
1427C22×C4—731no—
1428C22×C4—1461no—
1429C22×C4—1461no—
1430C22×C4—1461no—
1431C22×C4—1461no—
1432C22×C4—1461no—
1433C22×C4—1461no—
1434C22×C4—1461no—
1435C22×C4—1461no—
1436C22×C4—1461no—
1437C22×C4C23×D7311yescharacteristic
1438C22×C4C23×D7311yescharacteristic
1439Q16—41no—
1440Q16—41no—
1441Q16—41no—
1442Q16—41no—
1443Q16—2921no—
1444Q16—2921no—
1445Q16—2921no—
1446Q16—2921no—
1447Q16—2921no—
1448SD16—22no—
1449SD16—22no—
1450SD16—41no—
1451SD16—41no—
1452SD16—2921no—
1453SD16—2921no—
1454SD16—2921no—
1455SD16—2921no—
1456SD16—2921no—
1457SD16—2921no—
1458SD16—2921no—
1459SD16—1462no—
1460D8—22no—
1461D8—1462no—
1462D8—1462no—
1463M16—41no—
1464M16—2921no—
1465M16—2921no—
1466M16—2921no—
1467C2×C8—41no—
1468C2×C8—2921no—
1469C2×C8—731no—
1470C2×C8—731no—
1471C2×C8—731no—
1472C2×C8—731no—
1473C2×C8C23×D7311yescharacteristic
1474C2×C8C23×D7311yescharacteristic
1475C2×C8C23×D7311yescharacteristic
1476C2×C8C23×D7311yescharacteristic
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—21no—
1480C4⋊C4—21no—
1481C4⋊C4—21no—
1482C4⋊C4—21no—
1483C4⋊C4—731no—
1484C4⋊C4—731no—
1485C4⋊C4—731no—
1486C4⋊C4—731no—
1487C4⋊C4—731no—
1488C4⋊C4—731no—
1489C4⋊C4—731no—
1490C4⋊C4—731no—
1491C4⋊C4—731no—
1492C4⋊C4—1461no—
1493C4⋊C4—1461no—
1494C4⋊C4—1461no—
1495C4⋊C4—1461no—
1496C4⋊C4—1461no—
1497C4⋊C4—1461no—
1498C4⋊C4—1461no—
1499C4⋊C4—1461no—
1500C4⋊C4—1461no—
1501C4⋊C4—1461no—
1502C4⋊C4—1461no—
1503C4⋊C4—1461no—
1504C4⋊C4—1461no—
1505C4⋊C4—1461no—
1506C4⋊C4—1461no—
1507C4⋊C4—1461no—
1508C4⋊C4—1461no—
1509C4⋊C4—1461no—
1510C4⋊C4—1461no—
1511C4⋊C4—1461no—
1512C4⋊C4—1461no—
1513C4⋊C4—1461no—
1514C4⋊C4—1461no—
1515C4⋊C4—1461no—
1516C4⋊C4—1461no—
1517C4⋊C4D4×D7311yescharacteristic
1518C4⋊C4C23×D7311yescharacteristic
1519C4⋊C4C23×D7311yescharacteristic
1520C22⋊C4—21no—
1521C22⋊C4—21no—
1522C22⋊C4—21no—
1523C22⋊C4—21no—
1524C22⋊C4—21no—
1525C22⋊C4—21no—
1526C22⋊C4—21no—
1527C22⋊C4—731no—
1528C22⋊C4—731no—
1529C22⋊C4—731no—
1530C22⋊C4—731no—
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⋊C4—1461no—
1540C22⋊C4—1461no—
1541C22⋊C4—1461no—
1542C22⋊C4—1461no—
1543C22⋊C4—1461no—
1544C22⋊C4—1461no—
1545C22⋊C4—1461no—
1546C22⋊C4—1461no—
1547C22⋊C4—1461no—
1548C22⋊C4—1461no—
1549C22⋊C4—1461no—
1550C22⋊C4—1461no—
1551C22⋊C4—1461no—
1552C22⋊C4—1461no—
1553C22⋊C4—1461no—
1554C22⋊C4—1461no—
1555C22⋊C4—1461no—
1556C22⋊C4—1461no—
1557C22⋊C4—1461no—
1558C22⋊C4—1461no—
1559C22⋊C4—1461no—
1560C22⋊C4D4×D7311yescharacteristic
1561C22⋊C4D4×D7311yescharacteristic
1562C42—21no—
1563C42—731no—
1564C42—731no—
1565C42—731no—
1566C42—731no—
1567C42—731no—
1568C42—731no—
1569C42—731no—
1570C42—731no—
1571C42—731no—
1572C42—1461no—
1573C42—1461no—
1574C42—1461no—
1575C42—1461no—
1576C42—1461no—
1577C42—1461no—
1578C42—1461no—
1579C42—1461no—
1580C42—1461no—
1581C42—1461no—
1582C42—1461no—
1583C42C23×D7311yescharacteristic
1584C23—21no—
1585C23—21no—
1586C23—2922no—
1587C23—2922no—
1588C23—5841no—
1589C23—5841no—
1590C23—5841no—
1591C23—5841no—
1592C23—731no—
1593C23—1461no—
1594C23—1461no—
1595C23C2×D4×D7311yescharacteristic
1596C23C2×D4×D7311yescharacteristic
1597Q8—21no—
1598Q8—21no—
1599Q8—21no—
1600Q8—21no—
1601Q8—21no—
1602Q8—21no—
1603Q8—21no—
1604Q8—21no—
1605Q8—81no—
1606Q8—2922no—
1607Q8—2922no—
1608Q8—2922no—
1609Q8—5841no—
1610Q8—1462no—
1611Q8—1461no—
1612Q8—1461no—
1613Q8—1461no—
1614Q8—1461no—
1615D4—21no—
1616D4—21no—
1617D4—21no—
1618D4—41no—
1619D4—42no—
1620D4—42no—
1621D4—42no—
1622D4—81no—
1623D4—2922no—
1624D4—2922no—
1625D4—2922no—
1626D4—2921no—
1627D4—5841no—
1628D4—5841no—
1629D4—5841no—
1630D4—5841no—
1631D4—5841no—
1632D4—1462no—
1633D4—1461no—
1634D4—1461no—
1635D4—1461no—
1636D4—1461no—
1637D4#1455663612yes—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—42no—
1649C2×C4—42no—
1650C2×C4—42no—
1651C2×C4—81no—
1652C2×C4—81no—
1653C2×C4—2921no—
1654C2×C4—2921no—
1655C2×C4—2922no—
1656C2×C4—2922no—
1657C2×C4—2922no—
1658C2×C4—2922no—
1659C2×C4—2922no—
1660C2×C4—2921no—
1661C2×C4—2921no—
1662C2×C4—2921no—
1663C2×C4—5841no—
1664C2×C4—5841no—
1665C2×C4—5841no—
1666C2×C4—5841no—
1667C2×C4—731no—
1668C2×C4—731no—
1669C2×C4—731no—
1670C2×C4—731no—
1671C2×C4—731no—
1672C2×C4—731no—
1673C2×C4—731no—
1674C2×C4—1461no—
1675C2×C4—1461no—
1676C2×C4—1461no—
1677C2×C4—1461no—
1678C2×C4—1461no—
1679C2×C4—1461no—
1680C2×C4—1462no—
1681C2×C4—1461no—
1682C2×C4—1461no—
1683C2×C4C2×D4×D7311yescharacteristic
1684C2×C4C2×D4×D7311yescharacteristic
1685C2×C4C2×D4×D7311yescharacteristic
1686C2×C4C2×D4×D7311yescharacteristic
1687C2×C4C24×D7311yescharacteristic
1688C8—21no—
1689C8—21no—
1690C8—21no—
1691C8—21no—
1692C8—1461no—
1693C8—1461no—
1694C8—1461no—
1695C8—1461no—
1696C22—21no—
1697C22—21no—
1698C22—22no—
1699C22—21no—
1700C22—21no—
1701C22—21no—
1702C22—21no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—2921no—
1709C22—2921no—
1710C22—2921no—
1711C22—2921no—
1712C22—2921no—
1713C22—2921no—
1714C22—11682no—
1715C22—11682no—
1716C22—1461no—
1717C22—1461no—
1718C22—1461no—
1719C22C22×D4×D7311yescharacteristic
1720C4—21no—
1721C4—21no—
1722C4—21no—
1723C4—21no—
1724C4—41no—
1725C4—41no—
1726C4—41no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4—2921no—
1731C4—2921no—
1732C4—2921no—
1733C4—2921no—
1734C4—2921no—
1735C4—2921no—
1736C4—732no—
1737C4—1461no—
1738C4—1461no—
1739C4—1461no—
1740C4—1461no—
1741C4—1461no—
1742C4—1461no—
1743C4C2×#1455663611yescharacteristic
1744C4#1798942211yescharacteristic
1745C2—41no—
1746C2—41no—
1747C2—42no—
1748C2—81no—
1749C2—2921no—
1750C2—5841no—
1751C2—5841no—
1752C2#2262359111yescharacteristic
1753C2#575×D7311yescharacteristic
1754C2#2262471611yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3269C2
socleC22×C73C23×D4
hypercenter#3269D73
hypocenterC73#61973
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3269

Complements

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

NH ≅ G/Ntype
1. #22623885C2semidirect
2. #22623543C2semidirect
3. #22622981C2semidirect
4. #22622957C2semidirect
5. #22622718C2semidirect
6. #22622650C2semidirect
7. #22622207C2semidirect
8. #22622157C2semidirect
9. #22622003C2semidirect
10. #22621997C2semidirect
11. #22621971C2semidirect
12. #22621969C2semidirect
13. #22621571C2semidirect
14. #22621524C2semidirect
15. #22621490C2semidirect
16. #22621457C2semidirect
17. #22621456C2semidirect
18. #22621302C2semidirect
19. #22621297C2semidirect
20. #22621263C2semidirect
21. #22620933C2semidirect
22. #22620929C2semidirect
23. #22620885C2semidirect
24. #22620044C2semidirect
25. #22620033C2semidirect
26. #22619950C2semidirect
27. #22619427C2semidirect
28. #22619420C2semidirect
29. #22619382C2semidirect
30. #22619043C2semidirect
31. C73×#3269C2semidirect
32. C2×#14556620C22semidirect
35. C2×#14556611C22semidirect
37. #17989312C22semidirect
40. #17989308C22semidirect
41. #17989307C22semidirect
48. D4×Dic146C22semidirect
53. #17989236C22semidirect
61. #17989142C22semidirect
62. #17989139C22semidirect
63. #17989139C22semidirect
74. #41×Dic73C22semidirect
75. #41×Dic73C22semidirect
77. C4×#11924027C22semidirect
80. #17988980C22semidirect
82. #17988965C22semidirect
85. #17988948C22semidirect
87. #17988946C22semidirect
88. #17988936C22semidirect
90. #17988929C22semidirect
91. #17988927C22semidirect
92. #17988925C22semidirect
96. #17988893C22semidirect
97. #17988892C22semidirect
98. #17988892C22semidirect
99. #17988885C22semidirect
100. #17988882C22semidirect
101. #17988881C22semidirect
102. #17988878C22semidirect
103. #17988875C22semidirect
104. #17988870C22semidirect
106. #17988845C22semidirect
107. #17988843C22semidirect
108. #17988842C22semidirect
109. #17988842C22semidirect
113. #17988826C22semidirect
117. #17988812C22semidirect
121. #17988811C22semidirect
122. #17988811C22semidirect
123. #17988811C22semidirect
125. #17988808C22semidirect
126. #17988807C22semidirect
127. #17988807C22semidirect
128. #17988806C22semidirect
131. #17988804C22semidirect
132. #17988804C22semidirect
134. #17988800C22semidirect
135. #17988796C22semidirect
136. #17988795C22semidirect
137. #17988795C22semidirect
139. #17988790C22semidirect
140. #17988790C22semidirect
141. #17988789C22semidirect
144. #17988751C22semidirect
145. #17988749C22semidirect
146. #17988749C22semidirect
147. #17988747C22semidirect
148. #17988746C22semidirect
149. #17988743C22semidirect
150. #17988741C22semidirect
151. #17988741C22semidirect
158. #17988716C22semidirect
159. #17988715C22semidirect
160. #17988699C22semidirect
161. #17988697C22semidirect
162. #17988692C22semidirect
163. #17988691C22semidirect
164. #17988689C22semidirect
165. #17988688C22semidirect
166. #17988684C22semidirect
167. Q16×Dic73C22semidirect
168. SD16×Dic73C22semidirect
173. #17988659C22semidirect
174. #17988658C22semidirect
175. #17988655C22semidirect
176. #17988642C22semidirect
177. #17988641C22semidirect
178. #17988637C22semidirect
179. #17988610C22semidirect
180. #17988609C22semidirect
181. C2×#14556520C22semidirect
182. #17988596C22semidirect
183. #17988594C22semidirect
186. #17988584C22semidirect
187. #17988583C22semidirect
188. C2×#137×C73C22semidirect
189. C2×#135×C73C22semidirect
191. #547×C73C22semidirect
192. #497×C73C22semidirect
194. #467×C73C22semidirect
195. #463×C73C22semidirect
196. #462×C73C22semidirect
197. #452×C73C22semidirect
198. #452×C73C22semidirect
199. #451×C73C22semidirect
201. #440×C73C22semidirect
202. #435×C73C22semidirect
893. #3269D73semidirect
909. C73#61973semidirect
911. C2×#137C2×D73semidirect
915. C2×#135C2×D73semidirect
935. #547C2×D73semidirect
964. #497C2×D73semidirect
998. #467C2×D73semidirect
1020. #463C2×D73semidirect
1024. #462C2×D73semidirect
1036. #452C2×D73semidirect
1037. #452C2×D73semidirect
1041. #451C2×D73semidirect
1058. #440C2×D73semidirect
1068. #435C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226238852
#226235432
#226229812
#226229572
#226227182
#226226502
#226222072
#226221572
#226220032
#226219972
#226219712
#226219692
#226215712
#226215242
#226214902
#226214572
#226214562
#226213022
#226212972
#226212632
#226209332
#226209292
#226208852
#226200442
#226200332
#226199502
#226194272
#226194202
#226193822
#226190432
C73×#32692
#6197373