Finite Group Databasebeta

← #33968161

Subgroups — #33968161

Order 18688.

1846 conjugacy classes of subgroups.

The subgroup lattice has 1694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623546C211yesmaximal, characteristic, complemented
2#22623493C211yesmaximal, characteristic, complemented
3#22622963C211yesmaximal, characteristic, complemented
4#22622831C211yesmaximal, characteristic, complemented
5#22622713C211yesmaximal, characteristic, complemented
6#22622650C211yesmaximal, characteristic, complemented
7#22622466C211yesmaximal, characteristic, complemented
8#22622457C211yesmaximal, characteristic, complemented
9#22622340C211yesmaximal, characteristic, complemented
10#22622032C211yesmaximal, characteristic, complemented
11#22622023C211yesmaximal, characteristic, complemented
12#22621972C211yesmaximal, characteristic, complemented
13#22621963C211yesmaximal, characteristic, complemented
14#22621855C211yesmaximal, characteristic, complemented
15#22621844C211yesmaximal, characteristic, complemented
16#22621647C211yesmaximal, characteristic, complemented
17#22621458C211yesmaximal, characteristic, complemented
18#22621456C211yesmaximal, characteristic, complemented
19#22620673C211yesmaximal, characteristic, complemented
20#22620640C211yesmaximal, characteristic, complemented
21#22620638C211yesmaximal, characteristic, complemented
22#22620093C211yesmaximal, characteristic, complemented
23#22620089C211yesmaximal, characteristic, complemented
24#22620089C211yesmaximal, characteristic, complemented
25#22620044C211yesmaximal, characteristic, complemented
26#22620040C211yesmaximal, characteristic, complemented
27#22620028C211yesmaximal, characteristic, complemented
28#22618942C211yesmaximal, characteristic, complemented
29#22618742C211yesmaximal, characteristic, complemented
30#22618728C211yesmaximal, characteristic, complemented
31C73×#2943C211yesmaximal, characteristic, complemented
32C2×#14556615C2211yescharacteristic
33C2×#14556610C2211yescharacteristic
34#17989315C2211yescharacteristic, complemented
35#17989310C2211yescharacteristic
36#17989309C2211yescharacteristic
37#17989305C2211yescharacteristic
38#17989305C2211yescharacteristic, complemented
39#17989300C2211yescharacteristic
40#17989296C2211yescharacteristic
41#17989286—21no—
42#17989278C2211yescharacteristic
43#17989277—21no—
44#17989276C2211yescharacteristic
45#17989270—21no—
46#17989270—21no—
47#17989270—21no—
48#17989266—21no—
49#17989261—21no—
50D4×Dic146C2211yescharacteristic, complemented
51#17989246—21no—
52#17989241C2211yescharacteristic
53#17989236C2211yescharacteristic
54#17989236C2211yescharacteristic
55#17989236C2211yescharacteristic, complemented
56#17989232C2211yescharacteristic
57#17989225C2211yescharacteristic
58#17989144C2211yescharacteristic, complemented
59#17989141C2211yescharacteristic
60#17989141C2211yescharacteristic
61#17989141C2211yescharacteristic, complemented
62#17989124C2211yescharacteristic
63#17989121—21no—
64#17989121—21no—
65#17989121C2211yescharacteristic
66#17989117—21no—
67#17989117—21no—
68#17989117—21no—
69#17989096—21no—
70C4×#11924028C2211yescharacteristic
71C4×#11924027C2211yescharacteristic
72C4×#11924027C2211yescharacteristic
73C4×#11924027C2211yescharacteristic, complemented
74C2×C4×Dic146—21no—
75C4×D4×D73C2211yescharacteristic
76C2×#14556548—21no—
77#17988996C2211yescharacteristic, complemented
78#17988994C2211yescharacteristic, complemented
79#17988984C2211yescharacteristic, complemented
80#17988981C2211yescharacteristic
81#17988980C2211yescharacteristic
82#17988965C2211yescharacteristic, complemented
83#17988956C2211yescharacteristic, complemented
84#17988954C2211yescharacteristic, complemented
85#17988948C2211yescharacteristic
86#17988947C2211yescharacteristic
87#17988936C2211yescharacteristic, complemented
88#17988936C2211yescharacteristic, complemented
89#17988930C2211yescharacteristic
90#17988930C2211yescharacteristic, complemented
91#17988928C2211yescharacteristic, complemented
92#17988928C2211yescharacteristic, complemented
93#17988928C2211yescharacteristic, complemented
94#17988927C2211yescharacteristic, complemented
95#17988926C2211yescharacteristic
96#17988926C2211yescharacteristic, complemented
97#17988924C2211yescharacteristic
98#17988921C2211yescharacteristic
99#17988914C2211yescharacteristic
100#17988911C2211yescharacteristic
101#17988894C2211yescharacteristic, complemented
102#17988893C2211yescharacteristic, complemented
103#17988887C2211yescharacteristic, complemented
104#17988885C2211yescharacteristic, complemented
105#17988882C2211yescharacteristic, complemented
106#17988881C2211yescharacteristic, complemented
107#17988881C2211yescharacteristic, complemented
108#17988877C2211yescharacteristic
109#17988875C2211yescharacteristic
110#17988875C2211yescharacteristic, complemented
111#17988866C2211yescharacteristic
112#17988865C2211yescharacteristic
113#17988846C2211yescharacteristic
114#17988844C2211yescharacteristic
115#17988844C2211yescharacteristic
116#17988842C2211yescharacteristic
117#17988828C2211yescharacteristic, complemented
118#17988828C2211yescharacteristic, complemented
119#17988827C2211yescharacteristic, complemented
120#17988825C2211yescharacteristic, complemented
121#17988819C2211yescharacteristic
122#17988817C2211yescharacteristic
123#17988816C2211yescharacteristic
124#17988816C2211yescharacteristic
125#17988812C2211yescharacteristic
126#17988809C2211yescharacteristic
127#17988804C2211yescharacteristic
128#17988802C2211yescharacteristic
129#17988797C2211yescharacteristic, complemented
130#17988796C2211yescharacteristic, complemented
131#17988796C2211yescharacteristic, complemented
132#17988792C2211yescharacteristic
133#17988791C2211yescharacteristic
134#17988790C2211yescharacteristic
135#17988790C2211yescharacteristic
136#17988790C2211yescharacteristic, complemented
137#17988750C2211yescharacteristic
138#17988750C2211yescharacteristic
139#17988749C2211yescharacteristic
140#17988749C2211yescharacteristic
141#17988749C2211yescharacteristic, complemented
142#17988746C2211yescharacteristic
143#17988746C2211yescharacteristic
144#17988746C2211yescharacteristic, complemented
145#17988739C2211yescharacteristic
146#17988736C2211yescharacteristic
147#17988733C2211yescharacteristic
148#17988732C2211yescharacteristic
149#17988715C2211yescharacteristic, complemented
150#17988715C2211yescharacteristic, complemented
151#17988699C2211yescharacteristic
152#17988697C2211yescharacteristic
153#17988695C2211yescharacteristic, complemented
154#17988695C2211yescharacteristic, complemented
155#17988693C2211yescharacteristic, complemented
156#17988692C2211yescharacteristic, complemented
157#17988692C2211yescharacteristic, complemented
158#17988692C2211yescharacteristic, complemented
159#17988689C2211yescharacteristic
160#17988689C2211yescharacteristic
161#17988687C2211yescharacteristic
162#17988687C2211yescharacteristic
163#17988687C2211yescharacteristic, complemented
164#17988685C2211yescharacteristic
165#17988684C2211yescharacteristic
166#17988684C2211yescharacteristic, complemented
167#17988678C2211yescharacteristic
168#17988674C2211yescharacteristic
169D8×Dic73C2211yescharacteristic
170#17988667C2211yescharacteristic
171#17988660C2211yescharacteristic
172#17988660C2211yescharacteristic
173#17988658C2211yescharacteristic
174#17988658C2211yescharacteristic
175C8×C22⋊D73C2211yescharacteristic, complemented
176C8×C22⋊D73C2211yescharacteristic, complemented
177#17988644C2211yescharacteristic, complemented
178#17988642C2211yescharacteristic
179#17988642C2211yescharacteristic, complemented
180#17988626C2211yescharacteristic
181#17988622C2211yescharacteristic, complemented
182#17988590C2211yescharacteristic
183#17988585C2211yescharacteristic
184#17988580C2211yescharacteristic
185#17988580C2211yescharacteristic, complemented
186#17988539C2211yescharacteristic
187#97×D73C2211yescharacteristic, complemented
188C2×#135×C73C2211yescharacteristic
189C4×#41×C73C2211yescharacteristic
190C4×#41×C73C2211yescharacteristic, complemented
191#442×C73C2211yescharacteristic
192#442×C73C2211yescharacteristic
193#441×C73C2211yescharacteristic, complemented
194#441×C73C2211yescharacteristic, complemented
195#440×C73C2211yescharacteristic
196#440×C73C2211yescharacteristic
197#440×C73C2211yescharacteristic, complemented
198#440×C73C2211yescharacteristic, complemented
199#427×C73C2211yescharacteristic, complemented
200#416×C73C2211yescharacteristic
201#416×C73C2211yescharacteristic, complemented
202C2×#97×C73C2211yescharacteristic, complemented
203C2×#11924028D411yescharacteristic
204C2×#11924027C2311yescharacteristic
205C2×#11924027C2311yescharacteristic
206C2×#11924027C2311yescharacteristic
207C22×Dic146—21no—
208C2×D4×D73C2311yescharacteristic
209C22×C4×D73—21no—
210#14556615—24no—
211#14556610—24no—
212C2×Dic292C2311yescharacteristic
213C2×Dic292C2311yescharacteristic
214C2×#11924018C2311yescharacteristic
215C2×#11924018C2311yescharacteristic
216C2×#11924018C2311yescharacteristic
217C2×#11924017C2311yescharacteristic
218C2×#11924017C2311yescharacteristic
219C2×#11924016C2311yescharacteristic
220C2×#11924016C2311yescharacteristic
221C2×#11924016C2311yescharacteristic
222C2×#11924015C2311yescharacteristic
223C2×#11924013C2311yescharacteristic
224C2×#11924011C2311yescharacteristic
225C2×#11924011C2311yescharacteristic
226C2×C8×D73C2311yescharacteristic
227C2×C8×D73C2311yescharacteristic
228#14556591C2311yescharacteristic
229#14556591C2311yescharacteristic
230#14556590C2311yescharacteristic
231#14556590C2311yescharacteristic
232#14556590C2311yescharacteristic
233#14556589C2311yescharacteristic
234#14556589C2311yescharacteristic
235#14556589C2311yescharacteristic
236#14556586—21no—
237#14556586—21no—
238#14556586—21no—
239#14556586—21no—
240#14556585—21no—
241#14556585—21no—
242#14556585—21no—
243#14556585—21no—
244#14556585—21no—
245#14556584—21no—
246#14556584—21no—
247#14556584—21no—
248#14556583—21no—
249#14556583—21no—
250#14556583—21no—
251#14556583C2311yescharacteristic
252#14556582C2311yescharacteristic
253#14556581—21no—
254#14556581—21no—
255#14556581—21no—
256#14556581—21no—
257#14556581—21no—
258#14556581—21no—
259#14556580C2311yescharacteristic
260#14556579—21no—
261#14556579—21no—
262#14556579C2311yescharacteristic
263#14556577—21no—
264#14556577—21no—
265#14556577—21no—
266#14556576—21no—
267#14556576—21no—
268#14556575—21no—
269#14556575—21no—
270#14556575—21no—
271#14556574—21no—
272#14556574—21no—
273#14556574—21no—
274#14556574—21no—
275#14556574—21no—
276#14556573—21no—
277#14556572—21no—
278#14556572—21no—
279#14556572—21no—
280#14556571C2311yescharacteristic
281#14556571C2311yescharacteristic
282#14556571C2311yescharacteristic
283#14556570—21no—
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#14556568—21no—
294#14556568—21no—
295#14556568—21no—
296#14556568—21no—
297#14556567C2311yescharacteristic
298#14556567C2311yescharacteristic
299#14556567C2311yescharacteristic
300#14556567C2311yescharacteristic
301#14556566C2311yescharacteristic
302#14556565—21no—
303#14556565—21no—
304#14556565C2311yescharacteristic
305#14556564—21no—
306#14556563—21no—
307#14556563—21no—
308#14556563—21no—
309#14556563—21no—
310#14556561—21no—
311#14556559—21no—
312C4×Dic146—21no—
313C4×Dic146—21no—
314C4×Dic146—21no—
315C4×Dic146—21no—
316C4×Dic146—21no—
317C4×Dic146—21no—
318C4×Dic146—21no—
319C4×Dic146—21no—
320C4×Dic146D411yescharacteristic
321C4×Dic146C2311yescharacteristic
322C4×Dic146C2311yescharacteristic
323C4×Dic146C2311yescharacteristic
324C4×Dic146C2311yescharacteristic
325#14556556C2311yescharacteristic
326#14556556C2311yescharacteristic
327#14556556C2311yescharacteristic
328C4×D292—21no—
329C4×D292D411yescharacteristic
330C4×D292C2311yescharacteristic
331C4×D292C2311yescharacteristic
332D4×Dic73C2311yescharacteristic
333D4×Dic73C2311yescharacteristic
334D4×Dic73C2311yescharacteristic
335D4×Dic73C2311yescharacteristic
336#14556553C2311yescharacteristic
337C4×C22⋊D73—21no—
338C4×C22⋊D73—21no—
339C4×C22⋊D73—21no—
340C4×C22⋊D73—21no—
341C4×C22⋊D73—21no—
342C4×C22⋊D73D411yescharacteristic
343C4×C22⋊D73D411yescharacteristic
344C4×C22⋊D73C2311yescharacteristic
345C4×C22⋊D73C2311yescharacteristic
346#14556551—21no—
347#14556551—21no—
348#14556551—21no—
349#14556551—21no—
350#14556550—21no—
351#14556550D411yescharacteristic
352#14556549C2311yescharacteristic
353#14556549C2311yescharacteristic
354#14556549C2311yescharacteristic
355#14556548—21no—
356#14556548—21no—
357#14556548—21no—
358#14556548—21no—
359#14556548—21no—
360#14556548—21no—
361#14556548—21no—
362#14556548—21no—
363#14556548—21no—
364#14556548D411yescharacteristic
365#14556548D411yescharacteristic
366#14556547—21no—
367#14556547—21no—
368#14556547—21no—
369C2×C4⋊Dic73—21no—
370C2×#11924007—21no—
371C2×#11924007—21no—
372C2×#11924007—21no—
373C2×#11924007—21no—
374C4⋊C4×D73C2311yescharacteristic
375C2×#11924005—21no—
376C2×#11924005—21no—
377C22⋊C4×D73—21no—
378C2×C4×Dic73—21no—
379C2×C4×Dic73—21no—
380C2×C4×Dic73—21no—
381C42×D73C2311yescharacteristic
382C42×D73C2311yescharacteristic
383#14556525C2311yescharacteristic
384#14556525C2311yescharacteristic
385#14556524C2311yescharacteristic
386#14556524C2311yescharacteristic
387#14556524C2311yescharacteristic
388#14556524C2311yescharacteristic
389#14556523C2311yescharacteristic
390#14556523C2311yescharacteristic
391#14556522C2311yescharacteristic
392#14556522C2311yescharacteristic
393#14556522C2311yescharacteristic
394#14556522C2311yescharacteristic
395C4⋊#10596831C2311yescharacteristic
396C4⋊#10596831C2311yescharacteristic
397#14556520C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556516C2311yescharacteristic
402#14556516C2311yescharacteristic
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#14556514C2311yescharacteristic
416#14556514C2311yescharacteristic
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#14556503C2311yescharacteristic
430#14556503C2311yescharacteristic
431#14556502C2311yescharacteristic
432#14556502C2311yescharacteristic
433#14556501C2311yescharacteristic
434#14556501C2311yescharacteristic
435C8×Dic73C2311yescharacteristic
436C8×Dic73C2311yescharacteristic
437C2×#41×C73C2311yescharacteristic
438C2×#41×C73C2311yescharacteristic
439#135×C73—24no—
440C2×Q16×C73C2311yescharacteristic
441C2×SD16×C73C2311yescharacteristic
442C2×SD16×C73C2311yescharacteristic
443C2×D8×C73C2311yescharacteristic
444C22×C8×C73C2311yescharacteristic
445C22×C8×C73C2311yescharacteristic
446C4×Q8×C73C2311yescharacteristic
447C4×Q8×C73C2311yescharacteristic
448C4×Q8×C73C2311yescharacteristic
449C4×Q8×C73C2311yescharacteristic
450C4×D4×C73—21no—
451C4×D4×C73—21no—
452C4×D4×C73—21no—
453C4×D4×C73—21no—
454C4×D4×C73C2311yescharacteristic
455C4×D4×C73C2311yescharacteristic
456C4×D4×C73C2311yescharacteristic
457C4×D4×C73C2311yescharacteristic
458#117×C73—21no—
459#117×C73—21no—
460#117×C73C2311yescharacteristic
461#117×C73C2311yescharacteristic
462C2×C42×C73—21no—
463C2×C42×C73—21no—
464C2×C42×C73C2311yescharacteristic
465#107×C73C2311yescharacteristic
466#107×C73C2311yescharacteristic
467#106×C73C2311yescharacteristic
468#106×C73C2311yescharacteristic
469#103×C73C2311yescharacteristic
470#103×C73C2311yescharacteristic
471#103×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#97×C73C2311yescharacteristic
478#97×C73C2311yescharacteristic
479#97×C73C2311yescharacteristic
480#97×C73C2311yescharacteristic
481C23×D73—21no—
482#11924028—42no—
483#11924027—22no—
484#11924027—22no—
485#11924027—22no—
486#11924027—41no—
487#11924027—41no—
488#11924027—41no—
489C2×Dic146—21no—
490C2×Dic146—21no—
491C2×Dic146—21no—
492C2×Dic146—21no—
493C2×Dic146—44no—
494C2×Dic146C2×D411yescharacteristic
495C2×Dic146C2411yescharacteristic
496C2×Dic146C2411yescharacteristic
497C2×Dic146C2411yescharacteristic
498C2×D292—21no—
499C2×D292C2×D411yescharacteristic
500C2×D292C2411yescharacteristic
501C2×C22⋊D73—21no—
502C2×C22⋊D73—21no—
503C2×C22⋊D73—21no—
504C2×C22⋊D73—21no—
505C2×C22⋊D73—21no—
506C2×C22⋊D73C2×D411yescharacteristic
507C2×C22⋊D73C2×D411yescharacteristic
508D4×D73—22no—
509D4×D73—41no—
510C22×Dic73—21no—
511C22×Dic73—21no—
512C22×Dic73—21no—
513C22×Dic73—21no—
514C22×Dic73—21no—
515C22×Dic73—21no—
516C22×Dic73—21no—
517C2×C4×D73—21no—
518C2×C4×D73—21no—
519C2×C4×D73—21no—
520C2×C4×D73—44no—
521C2×C4×D73C2×D411yescharacteristic
522C2×C4×D73C2×D411yescharacteristic
523C2×C4×D73C2×D411yescharacteristic
524C2×C4×D73C2×D411yescharacteristic
525C2×C4×D73C2411yescharacteristic
526C2×C4×D73C2411yescharacteristic
527Dic292—22no—
528Dic292—41no—
529#11924018—41no—
530#11924018—41no—
531#11924018—41no—
532#11924017—22no—
533#11924017—41no—
534#11924016—22no—
535#11924016—22no—
536#11924016—22no—
537#11924015—41no—
538#11924013—22no—
539#11924011—22no—
540#11924011—41no—
541C2×#10596831C2411yescharacteristic
542C2×#10596831C2411yescharacteristic
543C2×#10596831C2411yescharacteristic
544C2×#10596831C2411yescharacteristic
545C8×D73—22no—
546C8×D73—41no—
547C4⋊Dic73—21no—
548C4⋊Dic73—21no—
549C4⋊Dic73—21no—
550C4⋊Dic73—21no—
551C4⋊Dic73—21no—
552C4⋊Dic73—21no—
553C4⋊Dic73—21no—
554C4⋊Dic73C2×D411yescharacteristic
555C4⋊Dic73C2×D411yescharacteristic
556C4⋊Dic73C2411yescharacteristic
557C4⋊Dic73C2411yescharacteristic
558C4⋊Dic73C2411yescharacteristic
559C4⋊Dic73C2411yescharacteristic
560#11924007—21no—
561#11924007—21no—
562#11924007—21no—
563#11924007—21no—
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#11924007—21no—
585#11924007—21no—
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⋊Dic73C2×D411yescharacteristic
598C22⋊Dic73C2×D411yescharacteristic
599#11924005—21no—
600#11924005—21no—
601#11924005—21no—
602#11924005—21no—
603#11924005—21no—
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#11924005C2×D411yescharacteristic
618#11924005C2×D411yescharacteristic
619#11924005C2×D411yescharacteristic
620#11924005C2×D411yescharacteristic
621C4×Dic73—21no—
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×Dic73C2×D411yescharacteristic
631C4×Dic73C2×D411yescharacteristic
632C4×Dic73C2×D411yescharacteristic
633C4×Dic73C2×D411yescharacteristic
634C4×Dic73C2411yescharacteristic
635C4×Dic73C2411yescharacteristic
636#41×C73—22no—
637#41×C73—22no—
638#41×C73—41no—
639#41×C73—41no—
640C2×Q8×C73C2411yescharacteristic
641C2×Q8×C73C2411yescharacteristic
642C2×D4×C73—21no—
643C2×D4×C73—21no—
644C2×D4×C73C2411yescharacteristic
645C2×D4×C73C2411yescharacteristic
646C22×C4×C73—21no—
647C22×C4×C73—21no—
648C22×C4×C73—21no—
649C22×C4×C73—21no—
650C22×C4×C73—21no—
651C22×C4×C73—21no—
652C22×C4×C73C2×D411yescharacteristic
653C22×C4×C73C2×D411yescharacteristic
654C22×C4×C73C2411yescharacteristic
655Q16×C73—22no—
656SD16×C73—22no—
657SD16×C73—22no—
658D8×C73#4114yescomplemented
659C2×C8×C73—22no—
660C2×C8×C73—41no—
661C2×C8×C73C2411yescharacteristic
662C2×C8×C73C2411yescharacteristic
663C2×C8×C73C2411yescharacteristic
664C2×C8×C73C2411yescharacteristic
665C4⋊C4×C73—21no—
666C4⋊C4×C73—21no—
667C4⋊C4×C73—21no—
668C4⋊C4×C73—21no—
669C4⋊C4×C73C2411yescharacteristic
670C4⋊C4×C73C2411yescharacteristic
671C4⋊C4×C73C2411yescharacteristic
672C4⋊C4×C73C2411yescharacteristic
673C22⋊C4×C73—21no—
674C22⋊C4×C73—21no—
675C22⋊C4×C73—21no—
676C22⋊C4×C73—21no—
677C22⋊C4×C73—21no—
678C22⋊C4×C73—21no—
679C42×C73—21no—
680C42×C73—21no—
681C42×C73—21no—
682C42×C73—21no—
683C42×C73—21no—
684C42×C73—21no—
685C42×C73C2×D411yescharacteristic
686C42×C73C2×D411yescharacteristic
687C42×C73C2411yescharacteristic
688C42×C73C2411yescharacteristic
689C23×C73—21no—
690C23×C73—21no—
691C23×C73C22×D411yescharacteristic
692C22×D73—21no—
693C22×D73—42no—
694C22×D73—42no—
695C22×D73—81no—
696C22×D73C22×D411yescharacteristic
697C22×D73C22×D411yescharacteristic
698Q8×C73—21no—
699Q8×C73—21no—
700Q8×C73—21no—
701Q8×C73—21no—
702D4×C73—21no—
703D4×C73—21no—
704D4×C73—42no—
705D4×C73—42no—
706D4×C73C2×#4112yes—
707D4×C73C2×#4112yes—
708C2×C4×C73—21no—
709C2×C4×C73—21no—
710C2×C4×C73—21no—
711C2×C4×C73—21no—
712C2×C4×C73—21no—
713C2×C4×C73—21no—
714C2×C4×C73—21no—
715C2×C4×C73—21no—
716C2×C4×C73—41no—
717C2×C4×C73—41no—
718C2×C4×C73—42no—
719C2×C4×C73—42no—
720C2×C4×C73—42no—
721C2×C4×C73—42no—
722C2×C4×C73—42no—
723C2×C4×C73—81no—
724C2×C4×C73C22×D411yescharacteristic
725C2×C4×C73C22×D411yescharacteristic
726C2×C4×C73C22×D411yescharacteristic
727C2×C4×C73C22×D411yescharacteristic
728C2×C4×C73C22×D411yescharacteristic
729C2×C4×C73C2511yescharacteristic
730C22⋊D73—22no—
731C22⋊D73—41no—
732C22⋊D73—42no—
733C22⋊D73—42no—
734C22⋊D73—42no—
735C22⋊D73—42no—
736C22⋊D73—81no—
737C2×Dic73—21no—
738C2×Dic73—21no—
739C2×Dic73—21no—
740C2×Dic73—21no—
741C2×Dic73—21no—
742C2×Dic73—21no—
743C2×Dic73—21no—
744C2×Dic73—42no—
745C2×Dic73—42no—
746C2×Dic73—42no—
747C2×Dic73—42no—
748C2×Dic73—42no—
749C2×Dic73—42no—
750C2×Dic73—81no—
751C2×Dic73C22×D411yescharacteristic
752C2×Dic73C22×D411yescharacteristic
753C2×Dic73C22×D411yescharacteristic
754C2×Dic73C22×D411yescharacteristic
755C2×Dic73C22×D411yescharacteristic
756C2×Dic73C22×D411yescharacteristic
757D292—21no—
758D292—21no—
759D292—41no—
760D292—81no—
761C4×D73—21no—
762C4×D73—21no—
763C4×D73—21no—
764C4×D73—21no—
765C4×D73—22no—
766C4×D73—41no—
767C4×D73—41no—
768C4×D73—41no—
769C4×D73—42no—
770C4×D73—42no—
771C4×D73—42no—
772Dic146—22no—
773Dic146—21no—
774Dic146—21no—
775Dic146—21no—
776Dic146—21no—
777Dic146—21no—
778Dic146—21no—
779Dic146—42no—
780Dic146—42no—
781Dic146—42no—
782Dic146—81no—
783C8×C73—21no—
784C8×C73—21no—
785C8×C73—21no—
786C8×C73C2×#4112yes—
787#10596831—21no—
788#10596831—21no—
789#10596831—21no—
790#10596831—21no—
791C22×C73—21no—
792C22×C73—22no—
793C22×C73—22no—
794C22×C73—21no—
795C22×C73—21no—
796C22×C73—41no—
797C22×C73—41no—
798C22×C73—41no—
799C22×C73—41no—
800C22×C73C23×D411yescharacteristic
801C2×D73—21no—
802C2×D73—21no—
803C2×D73—21no—
804C2×D73—21no—
805C2×D73—21no—
806C2×D73—21no—
807C2×D73—41no—
808C2×D73—41no—
809C2×D73—41no—
810C2×D73—84no—
811C4×C73—21no—
812C4×C73—21no—
813C4×C73—21no—
814C4×C73—21no—
815C4×C73—21no—
816C4×C73—41no—
817C4×C73—41no—
818C4×C73—41no—
819C4×C73—41no—
820C4×C73—41no—
821C4×C73—41no—
822C4×C73C22×#4111yescharacteristic
823C4×C73#58511yescharacteristic
824Dic73—21no—
825Dic73—21no—
826Dic73—21no—
827Dic73—21no—
828Dic73—21no—
829Dic73—41no—
830Dic73—41no—
831Dic73—41no—
832Dic73—41no—
833Dic73—41no—
834Dic73—41no—
835Dic73—41no—
836Dic73#57512yes—
837#61461—731nomaximal, Sylow
838C2×C73—42no—
839C2×C73—41no—
840C2×C73—42no—
841C2×C73D4×#4111yescharacteristic
842C2×C73C2×#57511yescharacteristic
843C2×C73#358611yescharacteristic
844D73—41no—
845D73—41no—
846D73—81no—
847#3482—731no—
848#3475—731no—
849#3398—731no—
850#3384—731no—
851#3372—731no—
852#3367—731no—
853#3349—731no—
854#3349—731no—
855#3340—731no—
856#3315—731no—
857#3315—731no—
858#3311—731no—
859#3311—731no—
860#3303—731no—
861#3302—731no—
862#3283—731no—
863#3267—731no—
864#3267—731no—
865#3185—731no—
866#3181—731no—
867#3181—731no—
868#3116—731no—
869#3116—731no—
870#3116—731no—
871#3111—731no—
872#3111—731no—
873#3110—731no—
874#2970—731no—
875C4×AGL(1,ℤ/8)—731no—
876#2943—731no—
877#2943D7311yescharacteristic, complemented
878C73#6146111yescharacteristic, complemented, Sylow
879C2×AGL(1,ℤ/8)—731no—
880C2×#135—731no—
881C2×#135C2×D7311yescharacteristic
882#557—731no—
883#556—731no—
884#556—731no—
885#556—731no—
886#556—731no—
887#555—731no—
888#554—731no—
889#553—1461no—
890#552—731no—
891#552—731no—
892#552—1461no—
893#552—1461no—
894#552—1461no—
895#552—1461no—
896#551—1461no—
897#551—1461no—
898D4×Q8—731no—
899#548—1461no—
900#547—731no—
901#547—731no—
902#547—731no—
903#547—731no—
904#546—731no—
905#546—731no—
906#533—731no—
907#533—731no—
908#533—731no—
909#533—731no—
910#529—731no—
911#529—731no—
912#529—1461no—
913#529—1461no—
914#529—1461no—
915#529—1461no—
916#529—1461no—
917#525—1461no—
918C4×#41—731no—
919C4×#41—731no—
920C4×#41—731no—
921C4×#41—731no—
922C4×#41C2×D7311yescharacteristic
923C4×#41C2×D7311yescharacteristic, complemented
924C2×C4×Q8—1461no—
925C2×C4×D4—731no—
926C2×#117—1461no—
927#501—731no—
928#501—731no—
929#498—731no—
930#497—731no—
931#497—731no—
932#494—731no—
933#491—731no—
934#491—731no—
935#489—731no—
936#489—731no—
937#487—731no—
938#487—731no—
939#485—731no—
940#485—731no—
941#485—731no—
942#485—731no—
943#485—731no—
944#485—731no—
945#485—731no—
946#485—731no—
947#484—731no—
948#484—731no—
949#482—731no—
950#482—731no—
951#479—731no—
952#479—731no—
953#478—731no—
954#478—731no—
955#477—731no—
956#477—731no—
957#477—731no—
958#476—731no—
959#476—731no—
960#476—731no—
961#474—731no—
962#474—731no—
963#470—731no—
964#470—731no—
965#470—731no—
966#470—731no—
967#467—731no—
968#467—731no—
969#467—731no—
970#467—731no—
971#465—731no—
972#465—731no—
973#465—731no—
974#465—731no—
975#464—731no—
976#464—731no—
977#463—731no—
978#463—731no—
979#462—731no—
980#462—731no—
981#462—731no—
982#461—731no—
983#461—731no—
984#461—731no—
985#461—731no—
986#461—731no—
987#452—731no—
988#452—731no—
989#452—731no—
990#452—731no—
991#452—731no—
992#452—731no—
993#452—731no—
994#452—731no—
995#450—731no—
996#450—731no—
997#449—731no—
998#449—731no—
999#446—731no—
1000#446—731no—
1001#442—731no—
1002#442—731no—
1003#442C2×D7311yescharacteristic
1004#442C2×D7311yescharacteristic
1005#441—731no—
1006#441—731no—
1007#441—731no—
1008#441—731no—
1009#441—731no—
1010#441—731no—
1011#441C2×D7311yescharacteristic, complemented
1012#441C2×D7311yescharacteristic, complemented
1013#440—731no—
1014#440—731no—
1015#440—731no—
1016#440—731no—
1017#440—731no—
1018#440—731no—
1019#440—731no—
1020#440—731no—
1021#440C2×D7311yescharacteristic
1022#440C2×D7311yescharacteristic
1023#440C2×D7311yescharacteristic, complemented
1024#440C2×D7311yescharacteristic, complemented
1025C4×SD16—731no—
1026C4×SD16—731no—
1027C4×D8—731no—
1028C4×D8—731no—
1029#435—731no—
1030#435—731no—
1031#435—731no—
1032#435—731no—
1033C8×D4—731no—
1034C8×D4—731no—
1035#432—731no—
1036#432—731no—
1037#432—731no—
1038#428—731no—
1039#427—731no—
1040#427C2×D7311yescharacteristic, complemented
1041#418—731no—
1042#417—731no—
1043#416—731no—
1044#416—731no—
1045#416C2×D7311yescharacteristic
1046#416C2×D7311yescharacteristic, complemented
1047C4×M16—731no—
1048C2×#97—731no—
1049C2×#97C2×D7311yescharacteristic, complemented
1050C2×#41—731no—
1051C2×#41—731no—
1052C2×#41—731no—
1053C2×#41—731no—
1054C2×#41C22×D7311yescharacteristic
1055C2×#41C22×D7311yescharacteristic
1056C22×Q8—1461no—
1057C22×D4—731no—
1058C23×C4—1461no—
1059AGL(1,ℤ/8)—1464no—
1060#135—24no—
1061#135—1464no—
1062C2×Q16—731no—
1063C2×Q16—731no—
1064C2×Q16—731no—
1065C2×Q16—731no—
1066C2×Q16—731no—
1067C2×Q16C22×D7311yescharacteristic
1068C2×SD16—731no—
1069C2×SD16—731no—
1070C2×SD16—731no—
1071C2×SD16—731no—
1072C2×SD16—731no—
1073C2×SD16—731no—
1074C2×SD16C22×D7311yescharacteristic
1075C2×SD16C22×D7311yescharacteristic
1076C2×D8—731no—
1077C2×D8C22×D7311yescharacteristic
1078C2×M16—731no—
1079C2×M16—731no—
1080C22×C8—731no—
1081C22×C8—731no—
1082C22×C8C22×D7311yescharacteristic
1083C22×C8C22×D7311yescharacteristic
1084C4⋊Q8—731no—
1085C4⋊Q8—731no—
1086C4⋊Q8—731no—
1087C4⋊Q8—731no—
1088C4⋊Q8—731no—
1089C4⋊Q8—731no—
1090C4⋊Q8—731no—
1091C4⋊Q8—731no—
1092#126—1461no—
1093#126—1461no—
1094#126—1461no—
1095#126—1461no—
1096#126—1461no—
1097#126—1461no—
1098#126—1461no—
1099#126—1461no—
1100#126—1461no—
1101#126—1461no—
1102#126—1461no—
1103#126—1461no—
1104#125—731no—
1105#125—731no—
1106#125—1461no—
1107#125—1461no—
1108#125—1461no—
1109#125—1461no—
1110#125—1461no—
1111#125—1461no—
1112#125—1461no—
1113#125—1461no—
1114#125—1461no—
1115#124—731no—
1116#124—731no—
1117#124—1461no—
1118#124—1461no—
1119#124—1461no—
1120#124—1461no—
1121#124—1461no—
1122#123—1461no—
1123#123—1461no—
1124#123—1461no—
1125#123—1461no—
1126#123—1461no—
1127#123—1461no—
1128#123—1461no—
1129#123—1461no—
1130#123—1461no—
1131#123—1461no—
1132#123—1461no—
1133#123—1461no—
1134#123—1461no—
1135#123—1461no—
1136C22⋊Q8—731no—
1137C22⋊Q8—731no—
1138C22⋊Q8—731no—
1139C22⋊Q8—731no—
1140C22⋊Q8—731no—
1141C22⋊Q8—731no—
1142C22⋊Q8—731no—
1143C22⋊Q8—731no—
1144C22⋊Q8—731no—
1145C22⋊Q8—731no—
1146C22⋊Q8—1461no—
1147C22⋊Q8—1461no—
1148C22⋊Q8—1461no—
1149C22⋊Q8—1461no—
1150C22⋊Q8—1461no—
1151C22⋊Q8—1461no—
1152C22⋊Q8—1461no—
1153C22⋊Q8—1461no—
1154C22⋊Q8—1461no—
1155C22⋊Q8—1461no—
1156C22⋊Q8—1461no—
1157#121—731no—
1158#121—731no—
1159#121—1461no—
1160#121—1461no—
1161#121—1461no—
1162#121—1461no—
1163#121—1461no—
1164#121—1461no—
1165#121—1461no—
1166#120—1461no—
1167#120—1461no—
1168C4×Q8—731no—
1169C4×Q8—731no—
1170C4×Q8—731no—
1171C4×Q8—731no—
1172C4×Q8—731no—
1173C4×Q8—731no—
1174C4×Q8—731no—
1175C4×Q8—731no—
1176C4×Q8—1461no—
1177C4×Q8—1461no—
1178C4×Q8—1461no—
1179C4×Q8—1461no—
1180C4×Q8—1461no—
1181C4×Q8—1461no—
1182C4×Q8—1461no—
1183C4×Q8—1461no—
1184C4×Q8C22×D7311yescharacteristic
1185C4×Q8C22×D7311yescharacteristic
1186C4×Q8C22×D7311yescharacteristic
1187C4×Q8C22×D7311yescharacteristic
1188C4×D4—21no—
1189C4×D4—21no—
1190C4×D4—21no—
1191C4×D4—21no—
1192C4×D4—731no—
1193C4×D4—731no—
1194C4×D4—731no—
1195C4×D4—731no—
1196C4×D4—731no—
1197C4×D4—731no—
1198C4×D4—731no—
1199C4×D4—731no—
1200C4×D4—731no—
1201C4×D4—731no—
1202C4×D4—731no—
1203C4×D4—731no—
1204C4×D4—1461no—
1205C4×D4—1461no—
1206C4×D4—1461no—
1207C4×D4—1461no—
1208C4×D4—1461no—
1209C4×D4—1461no—
1210C4×D4—1461no—
1211C4×D4—1461no—
1212C4×D4—1461no—
1213C4×D4—1461no—
1214C4×D4C22×D7311yescharacteristic
1215C4×D4C22×D7311yescharacteristic
1216C4×D4C22×D7311yescharacteristic
1217C4×D4C22×D7311yescharacteristic
1218#117—21no—
1219#117—21no—
1220#117—731no—
1221#117—731no—
1222#117—731no—
1223#117—731no—
1224#117—731no—
1225#117—731no—
1226#117—1461no—
1227#117—1461no—
1228#117—1461no—
1229#117—1461no—
1230#117—1461no—
1231#117—1461no—
1232#117—1461no—
1233#117—1461no—
1234#117—1461no—
1235#117—1461no—
1236#117—1461no—
1237#117—1461no—
1238#117—1461no—
1239#117C22×D7311yescharacteristic
1240#117C22×D7311yescharacteristic
1241C2×C4⋊C4—731no—
1242C2×C4⋊C4—1461no—
1243C2×C4⋊C4—1461no—
1244C2×C4⋊C4—1461no—
1245C2×C4⋊C4—1461no—
1246C2×C4⋊C4—1461no—
1247C2×C22⋊C4—1461no—
1248C2×C22⋊C4—1461no—
1249C2×C22⋊C4—1461no—
1250C2×C42—21no—
1251C2×C42—21no—
1252C2×C42—731no—
1253C2×C42—731no—
1254C2×C42—1461no—
1255C2×C42—1461no—
1256C2×C42—1461no—
1257C2×C42C22×D7311yescharacteristic
1258#107—731no—
1259#107—731no—
1260#107—731no—
1261#107—731no—
1262#107—731no—
1263#107—731no—
1264#107C22×D7311yescharacteristic
1265#107C22×D7311yescharacteristic
1266#106—731no—
1267#106—731no—
1268#106—731no—
1269#106—731no—
1270#106—731no—
1271#106—731no—
1272#106C22×D7311yescharacteristic
1273#106C22×D7311yescharacteristic
1274C4⋊C8—731no—
1275C4⋊C8—731no—
1276C4⋊C8—731no—
1277C4⋊C8—731no—
1278C4⋊C8—731no—
1279C4⋊C8—731no—
1280#103—731no—
1281#103—731no—
1282#103—731no—
1283#103—731no—
1284#103—731no—
1285#103—731no—
1286#103—731no—
1287#103—731no—
1288#103—731no—
1289#103—731no—
1290#103—731no—
1291#103—731no—
1292#103—731no—
1293#103—731no—
1294#103—731no—
1295#103—731no—
1296#103C22×D7311yescharacteristic
1297#103C22×D7311yescharacteristic
1298#103C22×D7311yescharacteristic
1299#103C22×D7311yescharacteristic
1300#102—731no—
1301#102—731no—
1302#102—731no—
1303#102—731no—
1304#102—731no—
1305#102—731no—
1306#102—731no—
1307#102—731no—
1308#102C22×D7311yescharacteristic
1309#102C22×D7311yescharacteristic
1310#102C22×D7311yescharacteristic
1311#102C22×D7311yescharacteristic
1312C22⋊C8—731no—
1313C22⋊C8—731no—
1314C22⋊C8—731no—
1315C22⋊C8—731no—
1316C22⋊C8—731no—
1317C22⋊C8—731no—
1318#97—731no—
1319#97—731no—
1320#97—731no—
1321#97—731no—
1322#97C22×D7311yescharacteristic
1323#97C22×D7311yescharacteristic
1324#97C22×D7311yescharacteristic
1325#97C22×D7311yescharacteristic
1326C4×C8—731no—
1327C4×C8—731no—
1328C24—1461no—
1329#41—22no—
1330#41—22no—
1331#41—41no—
1332#41—41no—
1333#41—2922no—
1334#41—2921no—
1335#41—2921no—
1336#41—2921no—
1337#41—1462no—
1338#41—1462no—
1339#41—1462no—
1340C2×Q8—2924no—
1341C2×Q8—731no—
1342C2×Q8—731no—
1343C2×Q8—731no—
1344C2×Q8—731no—
1345C2×Q8—1461no—
1346C2×Q8—1461no—
1347C2×Q8—1461no—
1348C2×Q8—1461no—
1349C2×Q8C23×D7311yescharacteristic
1350C2×Q8C23×D7311yescharacteristic
1351C2×D4—21no—
1352C2×D4—21no—
1353C2×D4—2921no—
1354C2×D4—731no—
1355C2×D4—731no—
1356C2×D4—731no—
1357C2×D4—731no—
1358C2×D4—1461no—
1359C2×D4—1461no—
1360C2×D4—1461no—
1361C2×D4—1461no—
1362C2×D4—1461no—
1363C2×D4—1462no—
1364C2×D4—1461no—
1365C2×D4C23×D7311yescharacteristic
1366C2×D4C23×D7311yescharacteristic
1367C22×C4—21no—
1368C22×C4—21no—
1369C22×C4—21no—
1370C22×C4—21no—
1371C22×C4—21no—
1372C22×C4—21no—
1373C22×C4—2924no—
1374C22×C4—731no—
1375C22×C4—731no—
1376C22×C4—731no—
1377C22×C4—731no—
1378C22×C4—731no—
1379C22×C4—731no—
1380C22×C4—1461no—
1381C22×C4—1461no—
1382C22×C4—1461no—
1383C22×C4—1461no—
1384C22×C4—1461no—
1385C22×C4—1461no—
1386C22×C4—1461no—
1387C22×C4—1461no—
1388C22×C4—1461no—
1389C22×C4—1461no—
1390C22×C4D4×D7311yescharacteristic
1391C22×C4D4×D7311yescharacteristic
1392C22×C4C23×D7311yescharacteristic
1393Q16—22no—
1394Q16—2921no—
1395Q16—2921no—
1396Q16—2921no—
1397Q16—2921no—
1398Q16—1462no—
1399SD16—22no—
1400SD16—22no—
1401SD16—2921no—
1402SD16—2921no—
1403SD16—1462no—
1404SD16—1462no—
1405SD16—1462no—
1406SD16—1462no—
1407D8—1462no—
1408D8#1192402814yescomplemented
1409M16—2921no—
1410M16—1462no—
1411C2×C8—22no—
1412C2×C8—41no—
1413C2×C8—2921no—
1414C2×C8—731no—
1415C2×C8—731no—
1416C2×C8—731no—
1417C2×C8—731no—
1418C2×C8—1462no—
1419C2×C8C23×D7311yescharacteristic
1420C2×C8C23×D7311yescharacteristic
1421C2×C8C23×D7311yescharacteristic
1422C2×C8C23×D7311yescharacteristic
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—731no—
1428C4⋊C4—731no—
1429C4⋊C4—731no—
1430C4⋊C4—731no—
1431C4⋊C4—731no—
1432C4⋊C4—731no—
1433C4⋊C4—731no—
1434C4⋊C4—731no—
1435C4⋊C4—731no—
1436C4⋊C4—731no—
1437C4⋊C4—1461no—
1438C4⋊C4—1461no—
1439C4⋊C4—1461no—
1440C4⋊C4—1461no—
1441C4⋊C4—1461no—
1442C4⋊C4—1461no—
1443C4⋊C4—1461no—
1444C4⋊C4—1461no—
1445C4⋊C4—1461no—
1446C4⋊C4—1461no—
1447C4⋊C4—1461no—
1448C4⋊C4—1461no—
1449C4⋊C4—1461no—
1450C4⋊C4—1461no—
1451C4⋊C4—1461no—
1452C4⋊C4—1461no—
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⋊C4C23×D7311yescharacteristic
1471C4⋊C4C23×D7311yescharacteristic
1472C4⋊C4C23×D7311yescharacteristic
1473C4⋊C4C23×D7311yescharacteristic
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—21no—
1477C22⋊C4—21no—
1478C22⋊C4—21no—
1479C22⋊C4—21no—
1480C22⋊C4—731no—
1481C22⋊C4—731no—
1482C22⋊C4—731no—
1483C22⋊C4—731no—
1484C22⋊C4—731no—
1485C22⋊C4—731no—
1486C22⋊C4—1461no—
1487C22⋊C4—1461no—
1488C22⋊C4—1461no—
1489C22⋊C4—1461no—
1490C22⋊C4—1461no—
1491C22⋊C4—1461no—
1492C22⋊C4—1461no—
1493C22⋊C4—1461no—
1494C22⋊C4—1461no—
1495C22⋊C4—1461no—
1496C22⋊C4—1461no—
1497C22⋊C4—1461no—
1498C22⋊C4—1461no—
1499C22⋊C4—1461no—
1500C22⋊C4—1461no—
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—
1511C42—21no—
1512C42—21no—
1513C42—21no—
1514C42—21no—
1515C42—21no—
1516C42—21no—
1517C42—731no—
1518C42—731no—
1519C42—731no—
1520C42—731no—
1521C42—731no—
1522C42—731no—
1523C42—1461no—
1524C42—1461no—
1525C42—1461no—
1526C42—1461no—
1527C42—1461no—
1528C42—1461no—
1529C42—1461no—
1530C42—1461no—
1531C42—1461no—
1532C42D4×D7311yescharacteristic
1533C42D4×D7311yescharacteristic
1534C42C23×D7311yescharacteristic
1535C42C23×D7311yescharacteristic
1536C23—21no—
1537C23—21no—
1538C23—2922no—
1539C23—2922no—
1540C23—5841no—
1541C23—731no—
1542C23—731no—
1543C23—1461no—
1544C23C2×D4×D7311yescharacteristic
1545Q8—21no—
1546Q8—21no—
1547Q8—21no—
1548Q8—21no—
1549Q8—2922no—
1550Q8—2922no—
1551Q8—2922no—
1552Q8—5841no—
1553Q8—1462no—
1554Q8—1461no—
1555Q8—1461no—
1556Q8—1461no—
1557Q8—1461no—
1558Q8—1461no—
1559Q8—1461no—
1560D4—21no—
1561D4—21no—
1562D4—42no—
1563D4—42no—
1564D4—2921no—
1565D4—2922no—
1566D4—2922no—
1567D4—2922no—
1568D4—2922no—
1569D4—2921no—
1570D4—5841no—
1571D4—5841no—
1572D4—1462no—
1573D4—1461no—
1574D4—1461no—
1575D4C2×#1192402812yes—
1576D4C2×#1192402812yes—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—41no—
1586C2×C4—41no—
1587C2×C4—42no—
1588C2×C4—42no—
1589C2×C4—42no—
1590C2×C4—42no—
1591C2×C4—42no—
1592C2×C4—81no—
1593C2×C4—2922no—
1594C2×C4—2921no—
1595C2×C4—2921no—
1596C2×C4—2921no—
1597C2×C4—2922no—
1598C2×C4—2922no—
1599C2×C4—2922no—
1600C2×C4—2922no—
1601C2×C4—2922no—
1602C2×C4—2922no—
1603C2×C4—2922no—
1604C2×C4—2922no—
1605C2×C4—5841no—
1606C2×C4—731no—
1607C2×C4—731no—
1608C2×C4—731no—
1609C2×C4—731no—
1610C2×C4—731no—
1611C2×C4—731no—
1612C2×C4—1462no—
1613C2×C4—1461no—
1614C2×C4—1461no—
1615C2×C4—1461no—
1616C2×C4—1461no—
1617C2×C4—1461no—
1618C2×C4—1461no—
1619C2×C4—1461no—
1620C2×C4—1461no—
1621C2×C4—1461no—
1622C2×C4—1461no—
1623C2×C4—1461no—
1624C2×C4C2×D4×D7311yescharacteristic
1625C2×C4C2×D4×D7311yescharacteristic
1626C2×C4C2×D4×D7311yescharacteristic
1627C2×C4C2×D4×D7311yescharacteristic
1628C2×C4C2×D4×D7311yescharacteristic
1629C2×C4C24×D7311yescharacteristic
1630C8—21no—
1631C8—21no—
1632C8—21no—
1633C8—1461no—
1634C8—1461no—
1635C8—1461no—
1636C8—1461no—
1637C8C2×#1192402812yes—
1638C22—21no—
1639C22—21no—
1640C22—22no—
1641C22—22no—
1642C22—21no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—2921no—
1648C22—2921no—
1649C22—2921no—
1650C22—5844no—
1651C22—1461no—
1652C22—1461no—
1653C22—1461no—
1654C22—1461no—
1655C22—1461no—
1656C22—1461no—
1657C22C22×D4×D7311yescharacteristic
1658C4—21no—
1659C4—21no—
1660C4—21no—
1661C4—21no—
1662C4—21no—
1663C4—41no—
1664C4—41no—
1665C4—41no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4—2921no—
1670C4—2921no—
1671C4—2921no—
1672C4—2921no—
1673C4—2921no—
1674C4—2921no—
1675C4—2921no—
1676C4—732no—
1677C4—1461no—
1678C4—1461no—
1679C4—1461no—
1680C4—1461no—
1681C4—1461no—
1682C4C22×#1192402811yescharacteristic
1683C4#1798942311yescharacteristic
1684C2—41no—
1685C2—42no—
1686C2—42no—
1687C2—2921no—
1688C2—2921no—
1689C2—5841no—
1690C2D4×#1192402811yescharacteristic
1691C2#575×D7311yescharacteristic
1692C2#2262471511yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#2943C2
socleC22×C73C23×D4
hypercenter#2943D73
hypocenterC73#61461
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C2×C42 ◁ #2943

Complements

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

NH ≅ G/Ntype
1. #22623546C2semidirect
2. #22623493C2semidirect
3. #22622963C2semidirect
4. #22622831C2semidirect
5. #22622713C2semidirect
6. #22622650C2semidirect
7. #22622466C2semidirect
8. #22622457C2semidirect
9. #22622340C2semidirect
10. #22622032C2semidirect
11. #22622023C2semidirect
12. #22621972C2semidirect
13. #22621963C2semidirect
14. #22621855C2semidirect
15. #22621844C2semidirect
16. #22621647C2semidirect
17. #22621458C2semidirect
18. #22621456C2semidirect
19. #22620673C2semidirect
20. #22620640C2semidirect
21. #22620638C2semidirect
22. #22620093C2semidirect
23. #22620089C2semidirect
24. #22620089C2semidirect
25. #22620044C2semidirect
26. #22620040C2semidirect
27. #22620028C2semidirect
28. #22618942C2semidirect
29. #22618742C2semidirect
30. #22618728C2semidirect
31. C73×#2943C2semidirect
34. #17989315C22semidirect
38. #17989305C22semidirect
50. D4×Dic146C22semidirect
55. #17989236C22semidirect
58. #17989144C22semidirect
61. #17989141C22semidirect
73. C4×#11924027C22semidirect
77. #17988996C22semidirect
78. #17988994C22semidirect
79. #17988984C22semidirect
82. #17988965C22semidirect
83. #17988956C22semidirect
84. #17988954C22semidirect
87. #17988936C22semidirect
88. #17988936C22semidirect
90. #17988930C22semidirect
91. #17988928C22semidirect
92. #17988928C22semidirect
93. #17988928C22semidirect
94. #17988927C22semidirect
96. #17988926C22semidirect
101. #17988894C22semidirect
102. #17988893C22semidirect
103. #17988887C22semidirect
104. #17988885C22semidirect
105. #17988882C22semidirect
106. #17988881C22semidirect
107. #17988881C22semidirect
110. #17988875C22semidirect
117. #17988828C22semidirect
118. #17988828C22semidirect
119. #17988827C22semidirect
120. #17988825C22semidirect
129. #17988797C22semidirect
130. #17988796C22semidirect
131. #17988796C22semidirect
136. #17988790C22semidirect
141. #17988749C22semidirect
144. #17988746C22semidirect
149. #17988715C22semidirect
150. #17988715C22semidirect
153. #17988695C22semidirect
154. #17988695C22semidirect
155. #17988693C22semidirect
156. #17988692C22semidirect
157. #17988692C22semidirect
158. #17988692C22semidirect
163. #17988687C22semidirect
166. #17988684C22semidirect
175. C8×C22⋊D73C22semidirect
176. C8×C22⋊D73C22semidirect
177. #17988644C22semidirect
179. #17988642C22semidirect
181. #17988622C22semidirect
185. #17988580C22semidirect
187. #97×D73C22semidirect
190. C4×#41×C73C22semidirect
193. #441×C73C22semidirect
194. #441×C73C22semidirect
197. #440×C73C22semidirect
198. #440×C73C22semidirect
199. #427×C73C22semidirect
201. #416×C73C22semidirect
202. C2×#97×C73C22semidirect
658. D8×C73#41semidirect
877. #2943D73semidirect
878. C73#61461semidirect
923. C4×#41C2×D73semidirect
1011. #441C2×D73semidirect
1012. #441C2×D73semidirect
1023. #440C2×D73semidirect
1024. #440C2×D73semidirect
1040. #427C2×D73semidirect
1046. #416C2×D73semidirect
1049. C2×#97C2×D73semidirect
1408. D8#11924028semidirect

Maximal subgroups

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

subgroupindex
#226235462
#226234932
#226229632
#226228312
#226227132
#226226502
#226224662
#226224572
#226223402
#226220322
#226220232
#226219722
#226219632
#226218552
#226218442
#226216472
#226214582
#226214562
#226206732
#226206402
#226206382
#226200932
#226200892
#226200442
#226200402
#226200282
#226189422
#226187422
#226187282
C73×#29432
#6146173