Finite Group Databasebeta

← #33968213

Subgroups — #33968213

Order 18688.

1844 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#22623548C211yesmaximal, characteristic, complemented
2#22623493C211yesmaximal, characteristic, complemented
3#22622919C211yesmaximal, characteristic, complemented
4#22622807C211yesmaximal, characteristic, complemented
5#22622617C211yesmaximal, characteristic, complemented
6#22622581C211yesmaximal, characteristic, complemented
7#22622522C211yesmaximal, characteristic, complemented
8#22622507C211yesmaximal, characteristic, complemented
9#22622502C211yesmaximal, characteristic, complemented
10#22622232C211yesmaximal, characteristic, complemented
11#22622221C211yesmaximal, characteristic, complemented
12#22622204C211yesmaximal, characteristic, complemented
13#22622195C211yesmaximal, characteristic, complemented
14#22622152C211yesmaximal, characteristic, complemented
15#22622148C211yesmaximal, characteristic, complemented
16#22621571C211yesmaximal, characteristic, complemented
17#22621564C211yesmaximal, characteristic, complemented
18#22621556C211yesmaximal, characteristic, complemented
19#22620673C211yesmaximal, characteristic, complemented
20#22620663C211yesmaximal, characteristic, complemented
21#22620660C211yesmaximal, characteristic, complemented
22#22620106C211yesmaximal, characteristic, complemented
23#22620102C211yesmaximal, characteristic, complemented
24#22620091C211yesmaximal, characteristic, complemented
25#22620044C211yesmaximal, characteristic, complemented
26#22620040C211yesmaximal, characteristic, complemented
27#22620028C211yesmaximal, characteristic, complemented
28#22618949C211yesmaximal, characteristic, complemented
29#22618753C211yesmaximal, characteristic, complemented
30#22618736C211yesmaximal, characteristic, complemented
31C4×#137×C73C211yesmaximal, characteristic, complemented
32C2×#14556620C2211yescharacteristic
33C2×#14556618C2211yescharacteristic
34#17989313C2211yescharacteristic, complemented
35#17989309—21no—
36#17989309C2211yescharacteristic
37#17989309C2211yescharacteristic, complemented
38#17989300C2211yescharacteristic
39#17989296C2211yescharacteristic
40#17989286—21no—
41#17989278—21no—
42#17989278C2211yescharacteristic
43#17989278C2211yescharacteristic
44#17989276C2211yescharacteristic
45#17989272—21no—
46#17989272C2211yescharacteristic
47#17989270—21no—
48#17989266—21no—
49#17989261—21no—
50Q8×C22⋊D73C2211yescharacteristic, complemented
51#17989249C2211yescharacteristic
52#17989248C2211yescharacteristic
53#17989238—21no—
54#17989238C2211yescharacteristic, complemented
55#17989236C2211yescharacteristic
56#17989232C2211yescharacteristic
57#17989225C2211yescharacteristic
58#17989141—21no—
59#17989141C2211yescharacteristic
60#17989141C2211yescharacteristic
61#17989124—21no—
62#17989124C2211yescharacteristic
63#17989124C2211yescharacteristic, complemented
64#17989121—21no—
65#17989121—21no—
66#17989121C2211yescharacteristic
67#17989121C2211yescharacteristic, complemented
68#17989117—21no—
69#17989096—21no—
70C4×#11924029C2211yescharacteristic
71C4×#11924028—21no—
72C4×#11924028C2211yescharacteristic
73C4×#11924027C2211yescharacteristic
74C4×Q8×D73C2211yescharacteristic, complemented
75C4×D4×D73C2211yescharacteristic
76C2×#14556548—21no—
77#17988989C2211yescharacteristic, complemented
78#17988987C2211yescharacteristic, complemented
79#17988984C2211yescharacteristic, complemented
80#17988972C2211yescharacteristic
81#17988971C2211yescharacteristic
82#17988965C2211yescharacteristic, complemented
83#17988943C2211yescharacteristic
84#17988943C2211yescharacteristic, complemented
85#17988942C2211yescharacteristic
86#17988942C2211yescharacteristic, complemented
87#17988936C2211yescharacteristic, complemented
88#17988936C2211yescharacteristic, complemented
89#17988931C2211yescharacteristic
90#17988928C2211yescharacteristic, complemented
91#17988927C2211yescharacteristic
92#17988927C2211yescharacteristic, complemented
93#17988924C2211yescharacteristic
94#17988922C2211yescharacteristic, complemented
95#17988921C2211yescharacteristic
96#17988921C2211yescharacteristic, complemented
97#17988914C2211yescharacteristic, complemented
98#17988911C2211yescharacteristic, complemented
99#17988907C2211yescharacteristic
100#17988905C2211yescharacteristic
101#17988897C2211yescharacteristic, complemented
102#17988896C2211yescharacteristic, complemented
103#17988894C2211yescharacteristic, complemented
104#17988894C2211yescharacteristic, complemented
105#17988894C2211yescharacteristic, complemented
106#17988893C2211yescharacteristic, complemented
107#17988887C2211yescharacteristic
108#17988885C2211yescharacteristic
109#17988880C2211yescharacteristic, complemented
110#17988876C2211yescharacteristic, complemented
111#17988866C2211yescharacteristic
112#17988865C2211yescharacteristic
113#17988846C2211yescharacteristic
114#17988845C2211yescharacteristic, complemented
115#17988844C2211yescharacteristic
116#17988844C2211yescharacteristic
117#17988842C2211yescharacteristic
118#17988842C2211yescharacteristic, complemented
119#17988841C2211yescharacteristic
120#17988840C2211yescharacteristic
121#17988836C2211yescharacteristic
122#17988836C2211yescharacteristic, complemented
123#17988833C2211yescharacteristic
124#17988833C2211yescharacteristic, complemented
125#17988812C2211yescharacteristic
126#17988812C2211yescharacteristic, complemented
127#17988811C2211yescharacteristic
128#17988809C2211yescharacteristic
129#17988809C2211yescharacteristic
130#17988809C2211yescharacteristic, complemented
131#17988804C2211yescharacteristic
132#17988802C2211yescharacteristic
133#17988795C2211yescharacteristic, complemented
134#17988791C2211yescharacteristic
135#17988791C2211yescharacteristic, complemented
136#17988790C2211yescharacteristic
137#17988752C2211yescharacteristic
138#17988749C2211yescharacteristic
139#17988748C2211yescharacteristic
140#17988746C2211yescharacteristic
141#17988743C2211yescharacteristic, complemented
142#17988741C2211yescharacteristic, complemented
143#17988739C2211yescharacteristic
144#17988736C2211yescharacteristic
145#17988733C2211yescharacteristic
146#17988732C2211yescharacteristic
147#17988727C2211yescharacteristic
148#17988726C2211yescharacteristic
149C8×Dic146C2211yescharacteristic, complemented
150C8×Dic146C2211yescharacteristic, complemented
151#17988700C2211yescharacteristic
152#17988697C2211yescharacteristic
153#17988695C2211yescharacteristic, complemented
154#17988692C2211yescharacteristic, complemented
155#17988692C2211yescharacteristic, complemented
156#17988692C2211yescharacteristic, complemented
157#17988689C2211yescharacteristic
158#17988689C2211yescharacteristic, complemented
159#17988687C2211yescharacteristic
160#17988685C2211yescharacteristic
161#17988685C2211yescharacteristic
162#17988685C2211yescharacteristic, complemented
163#17988681C2211yescharacteristic, complemented
164#17988679C2211yescharacteristic, complemented
165#17988678C2211yescharacteristic
166SD16×Dic73C2211yescharacteristic
167SD16×Dic73C2211yescharacteristic
168#17988672C2211yescharacteristic
169#17988669C2211yescharacteristic
170#17988667C2211yescharacteristic
171#17988666C2211yescharacteristic
172#17988666C2211yescharacteristic
173#17988663C2211yescharacteristic
174#17988663C2211yescharacteristic
175#17988663C2211yescharacteristic, complemented
176#17988663C2211yescharacteristic, complemented
177#17988644C2211yescharacteristic, complemented
178#17988642C2211yescharacteristic
179#17988642C2211yescharacteristic, complemented
180#17988628C2211yescharacteristic
181#17988628C2211yescharacteristic, complemented
182#17988594C2211yescharacteristic, complemented
183#17988590C2211yescharacteristic
184#17988587C2211yescharacteristic
185#17988585C2211yescharacteristic
186#17988539C2211yescharacteristic
187#17988539C2211yescharacteristic, complemented
188C2×#137×C73C2211yescharacteristic
189C4×#41×C73C2211yescharacteristic
190C2×C4×Q8×C73C2211yescharacteristic, complemented
191#441×C73C2211yescharacteristic, complemented
192#441×C73C2211yescharacteristic, complemented
193#440×C73C2211yescharacteristic
194#440×C73C2211yescharacteristic
195C4×Q16×C73C2211yescharacteristic, complemented
196C4×Q16×C73C2211yescharacteristic, complemented
197C4×SD16×C73C2211yescharacteristic
198C4×SD16×C73C2211yescharacteristic
199#428×C73C2211yescharacteristic, complemented
200#419×C73C2211yescharacteristic, complemented
201#417×C73C2211yescharacteristic
202C4×M16×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924028—21no—
205C2×#11924028D411yescharacteristic
206C2×#11924027C2311yescharacteristic
207C2×Q8×D73C2311yescharacteristic
208C2×D4×D73C2311yescharacteristic
209C22×C4×D73—21no—
210#14556620—24no—
211#14556618—24no—
212C2×Dic292C2311yescharacteristic
213C2×#11924018C2311yescharacteristic
214C2×#11924018C2311yescharacteristic
215C2×#11924018C2311yescharacteristic
216C2×#11924017C2311yescharacteristic
217C2×#11924017C2311yescharacteristic
218C2×#11924016C2311yescharacteristic
219C2×#11924015C2311yescharacteristic
220C2×#11924015C2311yescharacteristic
221C2×#11924015C2311yescharacteristic
222C2×D584C2311yescharacteristic
223C2×#11924013C2311yescharacteristic
224C2×#11924011C2311yescharacteristic
225C2×#11924011C2311yescharacteristic
226C2×#11924011C2311yescharacteristic
227C2×#11924011C2311yescharacteristic
228#14556590—21no—
229#14556590C2311yescharacteristic
230#14556590C2311yescharacteristic
231#14556589—21no—
232#14556589C2311yescharacteristic
233#14556589C2311yescharacteristic
234#14556586—21no—
235#14556586—21no—
236#14556586—21no—
237#14556586—21no—
238#14556586—21no—
239#14556585—21no—
240#14556585—21no—
241#14556585—21no—
242#14556585—21no—
243#14556585—21no—
244#14556585—21no—
245#14556584—21no—
246#14556583—21no—
247#14556583—21no—
248#14556583C2311yescharacteristic
249#14556583C2311yescharacteristic
250#14556582—21no—
251#14556582C2311yescharacteristic
252#14556582C2311yescharacteristic
253#14556581—21no—
254#14556581—21no—
255#14556581—21no—
256#14556581—21no—
257#14556581—21no—
258#14556580—21no—
259#14556580C2311yescharacteristic
260#14556580C2311yescharacteristic
261#14556579—21no—
262#14556579—21no—
263#14556579C2311yescharacteristic
264#14556579C2311yescharacteristic
265#14556577—21no—
266#14556576—21no—
267#14556576—21no—
268#14556576—21no—
269#14556576—21no—
270#14556576—21no—
271#14556575—21no—
272#14556574—21no—
273#14556574—21no—
274#14556574—21no—
275#14556574—21no—
276#14556574—21no—
277#14556574—21no—
278#14556573—21no—
279#14556572—21no—
280#14556571—21no—
281#14556571C2311yescharacteristic
282#14556571C2311yescharacteristic
283#14556570—21no—
284#14556570—21no—
285#14556570C2311yescharacteristic
286#14556570C2311yescharacteristic
287#14556569—21no—
288#14556569—21no—
289#14556569—21no—
290#14556569—21no—
291#14556569—21no—
292#14556568—21no—
293#14556568—21no—
294#14556567—21no—
295#14556567—21no—
296#14556567C2311yescharacteristic
297#14556567C2311yescharacteristic
298#14556567C2311yescharacteristic
299#14556567C2311yescharacteristic
300#14556566—21no—
301#14556566C2311yescharacteristic
302#14556566C2311yescharacteristic
303#14556565—21no—
304#14556565—21no—
305#14556565C2311yescharacteristic
306#14556565C2311yescharacteristic
307#14556564—21no—
308#14556563—21no—
309#14556563—21no—
310#14556561—21no—
311#14556559—21no—
312Q8×Dic73C2311yescharacteristic
313Q8×Dic73C2311yescharacteristic
314C4×Dic146—21no—
315C4×Dic146—21no—
316C4×Dic146—21no—
317C4×Dic146—21no—
318C4×Dic146D411yescharacteristic
319C4×Dic146C2311yescharacteristic
320C4×Dic146C2311yescharacteristic
321C4×Dic146C2311yescharacteristic
322#14556556—21no—
323#14556556C2311yescharacteristic
324#14556556C2311yescharacteristic
325C4×D292—21no—
326C4×D292—21no—
327C4×D292—21no—
328C4×D292—21no—
329C4×D292D411yescharacteristic
330C4×D292C2311yescharacteristic
331C4×D292C2311yescharacteristic
332C4×D292C2311yescharacteristic
333D4×Dic73C2311yescharacteristic
334D4×Dic73C2311yescharacteristic
335#14556553—21no—
336#14556553C2311yescharacteristic
337#14556553C2311yescharacteristic
338C4×C22⋊D73—21no—
339C4×C22⋊D73—21no—
340C4×C22⋊D73—21no—
341C4×C22⋊D73—21no—
342C4×C22⋊D73—21no—
343C4×C22⋊D73—21no—
344C4×C22⋊D73D411yescharacteristic
345C4×C22⋊D73D411yescharacteristic
346C4×C22⋊D73C2311yescharacteristic
347C4×C22⋊D73C2311yescharacteristic
348#14556551—21no—
349#14556551—21no—
350#14556550—21no—
351#14556550D411yescharacteristic
352#14556549—21no—
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#14556548—21no—
365#14556548—21no—
366#14556548—21no—
367#14556548D411yescharacteristic
368#14556548D411yescharacteristic
369#14556547—21no—
370C2×#11924007—21no—
371C2×#11924007—21no—
372C4⋊C4×D73—21no—
373C4⋊C4×D73C2311yescharacteristic
374C4⋊C4×D73C2311yescharacteristic
375C2×#11924005—21no—
376C2×#11924005—21no—
377C22⋊C4×D73—21no—
378C2×C4×Dic73—21no—
379C42×D73—21no—
380C42×D73—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#14556515C2311yescharacteristic
406#14556515C2311yescharacteristic
407#14556515C2311yescharacteristic
408#14556515C2311yescharacteristic
409#14556515C2311yescharacteristic
410#14556515C2311yescharacteristic
411#14556514C2311yescharacteristic
412#14556514C2311yescharacteristic
413#14556514C2311yescharacteristic
414#14556514C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556511C2311yescharacteristic
422#14556511C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425C22⋊#10596831C2311yescharacteristic
426C22⋊#10596831C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556503C2311yescharacteristic
430#14556503C2311yescharacteristic
431#14556502C2311yescharacteristic
432#14556502C2311yescharacteristic
433C8×Dic73C2311yescharacteristic
434C8×Dic73C2311yescharacteristic
435C8×Dic73C2311yescharacteristic
436C8×Dic73C2311yescharacteristic
437C2×#41×C73C2311yescharacteristic
438C22×Q8×C73C2311yescharacteristic
439#137×C73—24no—
440C2×Q16×C73C2311yescharacteristic
441C2×Q16×C73C2311yescharacteristic
442C2×SD16×C73C2311yescharacteristic
443C2×SD16×C73C2311yescharacteristic
444C2×M16×C73C2311yescharacteristic
445C2×M16×C73C2311yescharacteristic
446C4×Q8×C73—21no—
447C4×Q8×C73—21no—
448C4×Q8×C73C2311yescharacteristic
449C4×Q8×C73C2311yescharacteristic
450C4×Q8×C73C2311yescharacteristic
451C4×Q8×C73C2311yescharacteristic
452C4×Q8×C73C2311yescharacteristic
453C4×Q8×C73C2311yescharacteristic
454C4×D4×C73—21no—
455C4×D4×C73—21no—
456C4×D4×C73C2311yescharacteristic
457C4×D4×C73C2311yescharacteristic
458#117×C73—21no—
459#117×C73C2311yescharacteristic
460C2×C4⋊C4×C73—21no—
461C2×C4⋊C4×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#103×C73C2311yescharacteristic
474#103×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#97×C73C2311yescharacteristic
478#97×C73C2311yescharacteristic
479C4×C8×C73C2311yescharacteristic
480C4×C8×C73C2311yescharacteristic
481C23×D73—21no—
482#11924029—22no—
483#11924029—41no—
484#11924028—42no—
485#11924028—44no—
486#11924027—22no—
487#11924027—41no—
488C2×Dic146—21no—
489C2×Dic146—21no—
490C2×Dic146—21no—
491C2×Dic146C2×D411yescharacteristic
492C2×Dic146C2411yescharacteristic
493C2×Dic146C2411yescharacteristic
494Q8×D73—22no—
495Q8×D73—41no—
496C2×D292—21no—
497C2×D292—21no—
498C2×D292—21no—
499C2×D292C2×D411yescharacteristic
500C2×D292C2411yescharacteristic
501C2×D292C2411yescharacteristic
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—
513C2×C4×D73—21no—
514C2×C4×D73—21no—
515C2×C4×D73—21no—
516C2×C4×D73—21no—
517C2×C4×D73—21no—
518C2×C4×D73—21no—
519C2×C4×D73—21no—
520C2×C4×D73—21no—
521C2×C4×D73—44no—
522C2×C4×D73C2×D411yescharacteristic
523C2×C4×D73C2×D411yescharacteristic
524C2×C4×D73C2×D411yescharacteristic
525C2×C4×D73C2×D411yescharacteristic
526C2×C4×D73C2411yescharacteristic
527C2×C4×D73C2411yescharacteristic
528Dic292—22no—
529#11924018—22no—
530#11924018—41no—
531#11924018—41no—
532#11924017—41no—
533#11924017—41no—
534#11924016—22no—
535#11924015—22no—
536#11924015—41no—
537#11924015—41no—
538D584—22no—
539#11924013—22no—
540#11924011—22no—
541#11924011—22no—
542#11924011—41no—
543#11924011—41no—
544C2×#10596831C2411yescharacteristic
545C2×#10596831C2411yescharacteristic
546C2×#10596831C2411yescharacteristic
547C2×#10596831C2411yescharacteristic
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#11924007C2×D411yescharacteristic
585#11924007C2×D411yescharacteristic
586#11924007C2×D411yescharacteristic
587#11924007C2×D411yescharacteristic
588C22⋊Dic73—21no—
589C22⋊Dic73—21no—
590C22⋊Dic73—21no—
591C22⋊Dic73—21no—
592C22⋊Dic73C2×D411yescharacteristic
593C22⋊Dic73C2×D411yescharacteristic
594#11924005—21no—
595#11924005—21no—
596#11924005—21no—
597#11924005—21no—
598#11924005—21no—
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#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×Dic73C2×D411yescharacteristic
631C4×Dic73C2×D411yescharacteristic
632C4×Dic73C2×D411yescharacteristic
633C4×Dic73C2×D411yescharacteristic
634C4×Dic73C2411yescharacteristic
635C4×Dic73C2411yescharacteristic
636#41×C73—22no—
637#41×C73—41no—
638C2×Q8×C73—21no—
639C2×Q8×C73—22no—
640C2×Q8×C73—41no—
641C2×Q8×C73C2411yescharacteristic
642C2×Q8×C73C2411yescharacteristic
643C2×Q8×C73C2411yescharacteristic
644C2×D4×C73—21no—
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×C73C2×D411yescharacteristic
652C22×C4×C73C2×D411yescharacteristic
653C22×C4×C73C2411yescharacteristic
654Q16×C73—22no—
655Q16×C73—22no—
656SD16×C73—22no—
657SD16×C73#4114yescomplemented
658M16×C73—22no—
659M16×C73—41no—
660C2×C8×C73C2411yescharacteristic
661C2×C8×C73C2411yescharacteristic
662C2×C8×C73C2411yescharacteristic
663C2×C8×C73C2411yescharacteristic
664C4⋊C4×C73—21no—
665C4⋊C4×C73—21no—
666C4⋊C4×C73—21no—
667C4⋊C4×C73—21no—
668C4⋊C4×C73—21no—
669C4⋊C4×C73—21no—
670C4⋊C4×C73—21no—
671C4⋊C4×C73C2411yescharacteristic
672C4⋊C4×C73C2411yescharacteristic
673C4⋊C4×C73C2411yescharacteristic
674C4⋊C4×C73C2411yescharacteristic
675C22⋊C4×C73—21no—
676C22⋊C4×C73—21no—
677C22⋊C4×C73—21no—
678C42×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×C73C22×D411yescharacteristic
691C22×D73—21no—
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—
702Q8×C73—21no—
703Q8×C73—42no—
704Q8×C73C2×#4112yes—
705D4×C73—21no—
706D4×C73—42no—
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—21no—
717C2×C4×C73—41no—
718C2×C4×C73—41no—
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—81no—
736C2×Dic73—21no—
737C2×Dic73—21no—
738C2×Dic73—21no—
739C2×Dic73—21no—
740C2×Dic73—21no—
741C2×Dic73—21no—
742C2×Dic73—42no—
743C2×Dic73—42no—
744C2×Dic73—81no—
745C2×Dic73C22×D411yescharacteristic
746C2×Dic73C22×D411yescharacteristic
747C2×Dic73C22×D411yescharacteristic
748C2×Dic73C22×D411yescharacteristic
749C2×Dic73C22×D411yescharacteristic
750C2×Dic73C22×D411yescharacteristic
751D292—21no—
752D292—21no—
753D292—21no—
754D292—21no—
755D292—41no—
756D292—42no—
757D292—42no—
758D292—81no—
759C4×D73—21no—
760C4×D73—21no—
761C4×D73—21no—
762C4×D73—21no—
763C4×D73—22no—
764C4×D73—41no—
765C4×D73—41no—
766C4×D73—41no—
767C4×D73—42no—
768C4×D73—42no—
769C4×D73—42no—
770C4×D73—42no—
771C4×D73—42no—
772C4×D73—42no—
773C4×D73—42no—
774C4×D73—42no—
775Dic146—22no—
776Dic146—21no—
777Dic146—21no—
778Dic146—21no—
779Dic146—21no—
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—21no—
794C22×C73—21no—
795C22×C73—41no—
796C22×C73—41no—
797C22×C73C23×D411yescharacteristic
798C2×D73—21no—
799C2×D73—21no—
800C2×D73—21no—
801C2×D73—21no—
802C2×D73—21no—
803C2×D73—21no—
804C2×D73—41no—
805C2×D73—41no—
806C2×D73—41no—
807C2×D73—41no—
808C2×D73—41no—
809C2×D73—41no—
810C2×D73—84no—
811C4×C73—21no—
812C4×C73—21no—
813C4×C73—22no—
814C4×C73—21no—
815C4×C73—21no—
816C4×C73—21no—
817C4×C73—41no—
818C4×C73—41no—
819C4×C73—41no—
820C4×C73—41no—
821C4×C73—41no—
822C4×C73—41no—
823C4×C73C22×#4111yescharacteristic
824C4×C73#58511yescharacteristic
825Dic73—21no—
826Dic73—21no—
827Dic73—21no—
828Dic73—21no—
829Dic73—21no—
830Dic73—41no—
831Dic73—41no—
832Dic73—41no—
833Dic73—41no—
834Dic73—41no—
835Dic73—41no—
836Dic73#57512yes—
837#61463—731nomaximal, Sylow
838C2×C73—42no—
839C2×C73—41no—
840C2×C73D4×#4111yescharacteristic
841C2×C73C2×#57511yescharacteristic
842C2×C73#358611yescharacteristic
843D73—41no—
844D73—41no—
845D73—81no—
846D73—81no—
847#3482—731no—
848#3475—731no—
849#3393—731no—
850#3381—731no—
851#3364—731no—
852#3360—731no—
853#3354—731no—
854#3352—731no—
855#3352—731no—
856#3330—731no—
857#3329—731no—
858#3327—731no—
859#3327—731no—
860#3323—731no—
861#3323—731no—
862#3276—731no—
863#3275—731no—
864#3275—731no—
865#3185—731no—
866#3183—731no—
867#3183—731no—
868#3117—731no—
869#3117—731no—
870#3116—731no—
871#3111—731no—
872#3111—731no—
873#3110—731no—
874#2971—731no—
875C4×#137—731no—
876C4×#137D7311yescharacteristic, complemented
877C4×AGL(1,ℤ/8)—731no—
878C73#6146311yescharacteristic, complemented, Sylow
879C2×#137—731no—
880C2×#137C2×D7311yescharacteristic
881C2×AGL(1,ℤ/8)—731no—
882#557—731no—
883#556—731no—
884#556—731no—
885#556—1461no—
886#555—731no—
887#554—731no—
888#553—1461no—
889#552—731no—
890#552—731no—
891#552—731no—
892#552—731no—
893#552—1461no—
894#552—1461no—
895#552—1461no—
896#551—1461no—
897#551—1461no—
898D4×Q8—731no—
899#548—731no—
900#548—731no—
901#547—731no—
902#547—731no—
903#547—1461no—
904#546—731no—
905#546—731no—
906#533—731no—
907#533—731no—
908#533—1461no—
909#529—731no—
910#529—731no—
911#529—731no—
912#529—731no—
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—1461no—
922C4×#41C2×D7311yescharacteristic
923C2×C4×Q8—731no—
924C2×C4×Q8C2×D7311yescharacteristic, complemented
925C2×C4×D4—731no—
926C2×#117—1461no—
927#499—731no—
928#499—731no—
929#498—731no—
930#495—731no—
931#495—731no—
932#494—731no—
933#488—731no—
934#488—731no—
935#488—731no—
936#488—731no—
937#487—731no—
938#487—731no—
939#485—731no—
940#485—731no—
941#485—731no—
942#485—731no—
943#484—731no—
944#484—731no—
945#484—731no—
946#484—731no—
947#482—731no—
948#482—731no—
949#481—731no—
950#481—731no—
951#479—731no—
952#479—731no—
953#479—731no—
954#479—731no—
955#479—731no—
956#479—731no—
957#478—731no—
958#478—731no—
959#477—731no—
960#476—731no—
961#474—731no—
962#474—731no—
963#470—731no—
964#470—731no—
965#470—731no—
966#470—731no—
967#470—731no—
968#470—731no—
969#469—731no—
970#469—731no—
971#468—731no—
972#468—731no—
973#468—731no—
974#468—731no—
975#464—731no—
976#464—731no—
977#464—731no—
978#464—731no—
979#464—731no—
980#464—731no—
981#463—731no—
982#463—731no—
983#462—731no—
984#461—731no—
985#461—731no—
986#461—731no—
987#452—731no—
988#452—731no—
989#452—731no—
990#452—731no—
991#451—731no—
992#451—731no—
993#450—731no—
994#450—731no—
995#449—731no—
996#449—731no—
997#448—731no—
998#448—731no—
999C8×Q8—731no—
1000C8×Q8—731no—
1001#442—731no—
1002#442—731no—
1003#441—731no—
1004#441—731no—
1005#441—731no—
1006#441—731no—
1007#441C2×D7311yescharacteristic, complemented
1008#441C2×D7311yescharacteristic, complemented
1009#440—731no—
1010#440—731no—
1011#440—731no—
1012#440—731no—
1013#440—731no—
1014#440—731no—
1015#440C2×D7311yescharacteristic
1016#440C2×D7311yescharacteristic
1017C4×Q16—731no—
1018C4×Q16—731no—
1019C4×Q16C2×D7311yescharacteristic, complemented
1020C4×Q16C2×D7311yescharacteristic, complemented
1021C4×SD16—731no—
1022C4×SD16—731no—
1023C4×SD16—731no—
1024C4×SD16—731no—
1025C4×SD16C2×D7311yescharacteristic
1026C4×SD16C2×D7311yescharacteristic
1027C4×D8—731no—
1028C4×D8—731no—
1029#436—731no—
1030#436—731no—
1031#436—731no—
1032#436—731no—
1033#436—731no—
1034#436—731no—
1035#432—731no—
1036#432—731no—
1037#432—731no—
1038#428—731no—
1039#428—731no—
1040#428C2×D7311yescharacteristic, complemented
1041#419—731no—
1042#419C2×D7311yescharacteristic, complemented
1043#418—731no—
1044#417—731no—
1045#417—731no—
1046#417C2×D7311yescharacteristic
1047C4×M16—731no—
1048C4×M16—731no—
1049C4×M16C2×D7311yescharacteristic, complemented
1050C2×#41—731no—
1051C2×#41—731no—
1052C2×#41—731no—
1053C2×#41—1461no—
1054C2×#41C22×D7311yescharacteristic
1055C22×Q8—731no—
1056C22×Q8C22×D7311yescharacteristic
1057C22×D4—731no—
1058C23×C4—1461no—
1059#137—24no—
1060#137—1464no—
1061AGL(1,ℤ/8)—1464no—
1062C2×Q16—731no—
1063C2×Q16—731no—
1064C2×Q16—731no—
1065C2×Q16—731no—
1066C2×Q16C22×D7311yescharacteristic
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×D8—731no—
1078C2×M16—731no—
1079C2×M16—731no—
1080C2×M16—731no—
1081C2×M16—731no—
1082C2×M16C22×D7311yescharacteristic
1083C2×M16C22×D7311yescharacteristic
1084C4⋊Q8—731no—
1085C4⋊Q8—731no—
1086C4⋊Q8—731no—
1087C4⋊Q8—731no—
1088C4⋊Q8—1461no—
1089C4⋊Q8—1461no—
1090#126—1461no—
1091#126—1461no—
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#125—731no—
1103#125—731no—
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#124—731no—
1115#124—731no—
1116#124—731no—
1117#124—731no—
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—1461no—
1145C22⋊Q8—1461no—
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—
1156#121—731no—
1157#121—731no—
1158#121—731no—
1159#121—731no—
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—21no—
1169C4×Q8—21no—
1170C4×Q8—731no—
1171C4×Q8—731no—
1172C4×Q8—731no—
1173C4×Q8—731no—
1174C4×Q8—731no—
1175C4×Q8—731no—
1176C4×Q8—731no—
1177C4×Q8—731no—
1178C4×Q8—1461no—
1179C4×Q8—1461no—
1180C4×Q8—1461no—
1181C4×Q8—1461no—
1182C4×Q8—1461no—
1183C4×Q8C22×D7311yescharacteristic
1184C4×Q8C22×D7311yescharacteristic
1185C4×Q8C22×D7311yescharacteristic
1186C4×Q8C22×D7311yescharacteristic
1187C4×Q8C22×D7311yescharacteristic
1188C4×Q8C22×D7311yescharacteristic
1189C4×D4—21no—
1190C4×D4—21no—
1191C4×D4—731no—
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—1461no—
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×D4—1461no—
1215C4×D4—1461no—
1216C4×D4C22×D7311yescharacteristic
1217C4×D4C22×D7311yescharacteristic
1218#117—21no—
1219#117—731no—
1220#117—731no—
1221#117—731no—
1222#117—731no—
1223#117—731no—
1224#117—1461no—
1225#117—1461no—
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
1240C2×C4⋊C4—21no—
1241C2×C4⋊C4—731no—
1242C2×C4⋊C4—731no—
1243C2×C4⋊C4—1461no—
1244C2×C4⋊C4—1461no—
1245C2×C4⋊C4—1461no—
1246C2×C4⋊C4C22×D7311yescharacteristic
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#103C22×D7311yescharacteristic
1295#103C22×D7311yescharacteristic
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#102—731no—
1309#102—731no—
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#97C22×D7311yescharacteristic
1321#97C22×D7311yescharacteristic
1322C4×C8—731no—
1323C4×C8—731no—
1324C4×C8—731no—
1325C4×C8—731no—
1326C4×C8C22×D7311yescharacteristic
1327C4×C8C22×D7311yescharacteristic
1328C24—1461no—
1329#41—22no—
1330#41—41no—
1331#41—2924no—
1332#41—2922no—
1333#41—2921no—
1334#41—2921no—
1335#41—1462no—
1336#41—1462no—
1337C2×Q8—21no—
1338C2×Q8—22no—
1339C2×Q8—41no—
1340C2×Q8—2921no—
1341C2×Q8—731no—
1342C2×Q8—731no—
1343C2×Q8—731no—
1344C2×Q8—1461no—
1345C2×Q8—1461no—
1346C2×Q8—1461no—
1347C2×Q8—1462no—
1348C2×Q8C23×D7311yescharacteristic
1349C2×Q8C23×D7311yescharacteristic
1350C2×Q8C23×D7311yescharacteristic
1351C2×D4—21no—
1352C2×D4—2921no—
1353C2×D4—731no—
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—1461no—
1364C2×D4—1462no—
1365C2×D4—1461no—
1366C2×D4C23×D7311yescharacteristic
1367C22×C4—21no—
1368C22×C4—21no—
1369C22×C4—21no—
1370C22×C4—21no—
1371C22×C4—21no—
1372C22×C4—2924no—
1373C22×C4—731no—
1374C22×C4—731no—
1375C22×C4—731no—
1376C22×C4—731no—
1377C22×C4—731no—
1378C22×C4—731no—
1379C22×C4—1461no—
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—22no—
1395Q16—2921no—
1396Q16—2921no—
1397Q16—1462no—
1398Q16—1462no—
1399SD16—22no—
1400SD16—2921no—
1401SD16—2921no—
1402SD16—2921no—
1403SD16—2921no—
1404SD16—1462no—
1405SD16—1462no—
1406SD16#1192402814yescomplemented
1407D8—1462no—
1408D8—1462no—
1409M16—22no—
1410M16—41no—
1411M16—2921no—
1412M16—2921no—
1413M16—1462no—
1414M16—1462no—
1415C2×C8—731no—
1416C2×C8—731no—
1417C2×C8—731no—
1418C2×C8—731no—
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—21no—
1428C4⋊C4—21no—
1429C4⋊C4—21no—
1430C4⋊C4—731no—
1431C4⋊C4—731no—
1432C4⋊C4—731no—
1433C4⋊C4—731no—
1434C4⋊C4—731no—
1435C4⋊C4—731no—
1436C4⋊C4—731no—
1437C4⋊C4—731no—
1438C4⋊C4—731no—
1439C4⋊C4—731no—
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—731no—
1478C22⋊C4—731no—
1479C22⋊C4—731no—
1480C22⋊C4—731no—
1481C22⋊C4—731no—
1482C22⋊C4—731no—
1483C22⋊C4—1461no—
1484C22⋊C4—1461no—
1485C22⋊C4—1461no—
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—21no—
1518C42—731no—
1519C42—731no—
1520C42—731no—
1521C42—731no—
1522C42—731no—
1523C42—731no—
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—2922no—
1538C23—2922no—
1539C23—5841no—
1540C23—731no—
1541C23—731no—
1542C23—1461no—
1543C23—1461no—
1544C23C2×D4×D7311yescharacteristic
1545Q8—21no—
1546Q8—21no—
1547Q8—21no—
1548Q8—21no—
1549Q8—21no—
1550Q8—42no—
1551Q8—2922no—
1552Q8—2922no—
1553Q8—5841no—
1554Q8—1462no—
1555Q8—1461no—
1556Q8—1461no—
1557Q8—1461no—
1558Q8—1461no—
1559Q8C2×#1192402812yes—
1560D4—21no—
1561D4—42no—
1562D4—2922no—
1563D4—2921no—
1564D4—2922no—
1565D4—2922no—
1566D4—2922no—
1567D4—2922no—
1568D4—2921no—
1569D4—5841no—
1570D4—5841no—
1571D4—1462no—
1572D4—1461no—
1573D4—1461no—
1574D4—1461no—
1575D4—1461no—
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—21no—
1586C2×C4—41no—
1587C2×C4—41no—
1588C2×C4—42no—
1589C2×C4—42no—
1590C2×C4—42no—
1591C2×C4—42no—
1592C2×C4—81no—
1593C2×C4—2922no—
1594C2×C4—2922no—
1595C2×C4—2922no—
1596C2×C4—2922no—
1597C2×C4—2921no—
1598C2×C4—2921no—
1599C2×C4—2921no—
1600C2×C4—2922no—
1601C2×C4—2922no—
1602C2×C4—2922no—
1603C2×C4—2922no—
1604C2×C4—2922no—
1605C2×C4—2922no—
1606C2×C4—5841no—
1607C2×C4—731no—
1608C2×C4—731no—
1609C2×C4—731no—
1610C2×C4—731no—
1611C2×C4—731no—
1612C2×C4—731no—
1613C2×C4—1462no—
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—21no—
1642C22—41no—
1643C22—41no—
1644C22—2921no—
1645C22—2921no—
1646C22—2921no—
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—22no—
1662C4—21no—
1663C4—21no—
1664C4—41no—
1665C4—41no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4—41no—
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—2921no—
1687C2—2921no—
1688C2—5841no—
1689C2—5841no—
1690C2D4×#1192402811yescharacteristic
1691C2#575×D7311yescharacteristic
1692C2#2262471411yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC4×#137×C73C2
socleC22×C73C23×D4
hypercenterC4×#137D73
hypocenterC73#61463
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C2×C42 ◁ C4×#137

Complements

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

NH ≅ G/Ntype
1. #22623548C2semidirect
2. #22623493C2semidirect
3. #22622919C2semidirect
4. #22622807C2semidirect
5. #22622617C2semidirect
6. #22622581C2semidirect
7. #22622522C2semidirect
8. #22622507C2semidirect
9. #22622502C2semidirect
10. #22622232C2semidirect
11. #22622221C2semidirect
12. #22622204C2semidirect
13. #22622195C2semidirect
14. #22622152C2semidirect
15. #22622148C2semidirect
16. #22621571C2semidirect
17. #22621564C2semidirect
18. #22621556C2semidirect
19. #22620673C2semidirect
20. #22620663C2semidirect
21. #22620660C2semidirect
22. #22620106C2semidirect
23. #22620102C2semidirect
24. #22620091C2semidirect
25. #22620044C2semidirect
26. #22620040C2semidirect
27. #22620028C2semidirect
28. #22618949C2semidirect
29. #22618753C2semidirect
30. #22618736C2semidirect
31. C4×#137×C73C2semidirect
34. #17989313C22semidirect
37. #17989309C22semidirect
50. Q8×C22⋊D73C22semidirect
54. #17989238C22semidirect
63. #17989124C22semidirect
67. #17989121C22semidirect
74. C4×Q8×D73C22semidirect
77. #17988989C22semidirect
78. #17988987C22semidirect
79. #17988984C22semidirect
82. #17988965C22semidirect
84. #17988943C22semidirect
86. #17988942C22semidirect
87. #17988936C22semidirect
88. #17988936C22semidirect
90. #17988928C22semidirect
92. #17988927C22semidirect
94. #17988922C22semidirect
96. #17988921C22semidirect
97. #17988914C22semidirect
98. #17988911C22semidirect
101. #17988897C22semidirect
102. #17988896C22semidirect
103. #17988894C22semidirect
104. #17988894C22semidirect
105. #17988894C22semidirect
106. #17988893C22semidirect
109. #17988880C22semidirect
110. #17988876C22semidirect
114. #17988845C22semidirect
118. #17988842C22semidirect
122. #17988836C22semidirect
124. #17988833C22semidirect
126. #17988812C22semidirect
130. #17988809C22semidirect
133. #17988795C22semidirect
135. #17988791C22semidirect
141. #17988743C22semidirect
142. #17988741C22semidirect
149. C8×Dic146C22semidirect
150. C8×Dic146C22semidirect
153. #17988695C22semidirect
154. #17988692C22semidirect
155. #17988692C22semidirect
156. #17988692C22semidirect
158. #17988689C22semidirect
162. #17988685C22semidirect
163. #17988681C22semidirect
164. #17988679C22semidirect
175. #17988663C22semidirect
176. #17988663C22semidirect
177. #17988644C22semidirect
179. #17988642C22semidirect
181. #17988628C22semidirect
182. #17988594C22semidirect
187. #17988539C22semidirect
190. C2×C4×Q8×C73C22semidirect
191. #441×C73C22semidirect
192. #441×C73C22semidirect
195. C4×Q16×C73C22semidirect
196. C4×Q16×C73C22semidirect
199. #428×C73C22semidirect
200. #419×C73C22semidirect
202. C4×M16×C73C22semidirect
657. SD16×C73#41semidirect
876. C4×#137D73semidirect
878. C73#61463semidirect
924. C2×C4×Q8C2×D73semidirect
1007. #441C2×D73semidirect
1008. #441C2×D73semidirect
1019. C4×Q16C2×D73semidirect
1020. C4×Q16C2×D73semidirect
1040. #428C2×D73semidirect
1042. #419C2×D73semidirect
1049. C4×M16C2×D73semidirect
1406. SD16#11924028semidirect

Maximal subgroups

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

subgroupindex
#226235482
#226234932
#226229192
#226228072
#226226172
#226225812
#226225222
#226225072
#226225022
#226222322
#226222212
#226222042
#226221952
#226221522
#226221482
#226215712
#226215642
#226215562
#226206732
#226206632
#226206602
#226201062
#226201022
#226200912
#226200442
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C4×#137×C732
#6146373