Finite Group Databasebeta

← #33967940

Subgroups — #33967940

Order 18688.

1888 conjugacy classes of subgroups.

The subgroup lattice has 1716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623536C211yesmaximal, characteristic
2#22623510C211yesmaximal, characteristic, complemented
3#22622987C211yesmaximal, characteristic, complemented
4#22622836C211yesmaximal, characteristic, complemented
5#22622742C211yesmaximal, characteristic, complemented
6#22622713C211yesmaximal, characteristic, complemented
7#22622419C211yesmaximal, characteristic, complemented
8#22622410C211yesmaximal, characteristic, complemented
9#22622318C211yesmaximal, characteristic, complemented
10#22622104C211yesmaximal, characteristic, complemented
11#22622097C211yesmaximal, characteristic, complemented
12#22622013C211yesmaximal, characteristic, complemented
13#22621802C211yesmaximal, characteristic, complemented
14#22621751C211yesmaximal, characteristic, complemented
15#22621625C211yesmaximal, characteristic, complemented
16#22621439C211yesmaximal, characteristic, complemented
17#22621437C211yesmaximal, characteristic, complemented
18#22620644C211yesmaximal, characteristic, complemented
19#22620643C211yesmaximal, characteristic, complemented
20#22620635C211yesmaximal, characteristic, complemented
21#22620105C211yesmaximal, characteristic, complemented
22#22620101C211yesmaximal, characteristic, complemented
23#22620086C211yesmaximal, characteristic, complemented
24#22620050C211yesmaximal, characteristic, complemented
25#22620032C211yesmaximal, characteristic, complemented
26#22620025C211yesmaximal, characteristic, complemented
27#22618941C211yesmaximal, characteristic, complemented
28#22618755C211yesmaximal, characteristic, complemented
29C2×#17988684C211yesmaximal, characteristic, complemented
30#440×D73C211yesmaximal, characteristic, complemented
31C73×#3314C211yesmaximal, characteristic, complemented
32C2×#14556621C2211yescharacteristic
33C22×#11924016C2211yescharacteristic
34C2×SD16×D73C2211yescharacteristic
35#17989319C2211yescharacteristic
36#17989317C2211yescharacteristic, complemented
37#17989315C2211yescharacteristic, complemented
38#17989314—21no—
39#17989296—21no—
40#17989296C2211yescharacteristic
41#17989295C2211yescharacteristic
42#17989292C2211yescharacteristic
43#17989292C2211yescharacteristic, complemented
44#17989291—21no—
45#17989291—21no—
46#17989284C2211yescharacteristic
47#17989283C2211yescharacteristic
48#17989280—21no—
49#17989263—21no—
50#17989260—21no—
51D4×Dic146C2211yescharacteristic, complemented
52#17989250C2211yescharacteristic
53#17989250C2211yescharacteristic, complemented
54#17989225C2211yescharacteristic
55#17989224—21no—
56D4×C22⋊D73C2211yescharacteristic
57#17989143—21no—
58#17989142C2211yescharacteristic, complemented
59#17989139—21no—
60#17989139—21no—
61#17989139C2211yescharacteristic, complemented
62#17989139C2211yescharacteristic, complemented
63#17989132C2211yescharacteristic
64#17989123C2211yescharacteristic
65#17989116C2211yescharacteristic
66#17989114—21no—
67#17989097—21no—
68#17989093—21no—
69#41×Dic73C2211yescharacteristic
70C4×#11924027—21no—
71C4×#11924027C2211yescharacteristic
72C2×#14556556C2211yescharacteristic, complemented
73C2×#14556556C2211yescharacteristic, complemented
74C4×Q8×D73C2211yescharacteristic, complemented
75C2×D4×Dic73C2211yescharacteristic
76C2×#14556551—21no—
77C4×D4×D73C2211yescharacteristic
78#17988995C2211yescharacteristic, complemented
79#17988993C2211yescharacteristic, complemented
80#17988991C2211yescharacteristic, complemented
81#17988982C2211yescharacteristic, complemented
82#17988980C2211yescharacteristic, complemented
83#17988958C2211yescharacteristic
84#17988956C2211yescharacteristic, complemented
85#17988954C2211yescharacteristic, complemented
86#17988948C2211yescharacteristic, complemented
87#17988936C2211yescharacteristic, complemented
88#17988932C2211yescharacteristic
89#17988929C2211yescharacteristic, complemented
90#17988925C2211yescharacteristic, complemented
91#17988924C2211yescharacteristic, complemented
92#17988924C2211yescharacteristic, complemented
93#17988923C2211yescharacteristic, complemented
94#17988921C2211yescharacteristic, complemented
95#17988920C2211yescharacteristic, complemented
96#17988905C2211yescharacteristic
97#17988904C2211yescharacteristic
98#17988900C2211yescharacteristic, complemented
99#17988895C2211yescharacteristic, complemented
100#17988894C2211yescharacteristic, complemented
101#17988893C2211yescharacteristic, complemented
102#17988893C2211yescharacteristic, complemented
103#17988881C2211yescharacteristic, complemented
104#17988881C2211yescharacteristic, complemented
105#17988880C2211yescharacteristic, complemented
106#17988875C2211yescharacteristic
107#17988865C2211yescharacteristic
108#17988865C2211yescharacteristic, complemented
109#17988864C2211yescharacteristic, complemented
110#17988835C2211yescharacteristic, complemented
111#17988833C2211yescharacteristic, complemented
112#17988831C2211yescharacteristic, complemented
113#17988827C2211yescharacteristic, complemented
114#17988827C2211yescharacteristic, complemented
115#17988826C2211yescharacteristic, complemented
116#17988818C2211yescharacteristic
117#17988816C2211yescharacteristic
118#17988815C2211yescharacteristic
119#17988815C2211yescharacteristic
120#17988812C2211yescharacteristic, complemented
121#17988812C2211yescharacteristic, complemented
122#17988806C2211yescharacteristic, complemented
123#17988795C2211yescharacteristic, complemented
124#17988793C2211yescharacteristic, complemented
125#17988792C2211yescharacteristic
126#17988790C2211yescharacteristic
127#17988790C2211yescharacteristic
128#17988790C2211yescharacteristic, complemented
129#17988786C2211yescharacteristic
130#17988786C2211yescharacteristic
131#17988749C2211yescharacteristic
132#17988742C2211yescharacteristic, complemented
133#17988741C2211yescharacteristic, complemented
134#17988739C2211yescharacteristic
135#17988739C2211yescharacteristic
136#17988738C2211yescharacteristic
137#17988728C2211yescharacteristic
138#17988728C2211yescharacteristic, complemented
139#17988725C2211yescharacteristic, complemented
140#17988724C2211yescharacteristic
141#17988716C2211yescharacteristic, complemented
142#17988715C2211yescharacteristic, complemented
143#17988694C2211yescharacteristic, complemented
144#17988691C2211yescharacteristic, complemented
145#17988691C2211yescharacteristic, complemented
146#17988691C2211yescharacteristic, complemented
147#17988690C2211yescharacteristic, complemented
148#17988689C2211yescharacteristic, complemented
149#17988688C2211yescharacteristic
150#17988688C2211yescharacteristic, complemented
151#17988687C2211yescharacteristic
152#17988686C2211yescharacteristic, complemented
153#17988686C2211yescharacteristic, complemented
154#17988686C2211yescharacteristic, complemented
155#17988685C2211yescharacteristic, complemented
156#17988684C2211yescharacteristic
157#17988684C2211yescharacteristic
158#17988684C2211yescharacteristic
159#17988684C2211yescharacteristic
160#17988684C2211yescharacteristic
161#17988684C2211yescharacteristic, complemented
162#17988684C2211yescharacteristic, complemented
163#17988684C2211yescharacteristic, complemented
164#17988684C2211yescharacteristic, complemented
165#17988684C2211yescharacteristic, complemented
166#17988679C2211yescharacteristic, complemented
167#17988679C2211yescharacteristic, complemented
168#17988678C2211yescharacteristic
169#17988678C2211yescharacteristic
170#17988661C2211yescharacteristic, complemented
171#17988659C2211yescharacteristic, complemented
172#17988656C2211yescharacteristic, complemented
173C8×C22⋊D73C2211yescharacteristic
174#17988650C2211yescharacteristic
175#17988643C2211yescharacteristic, complemented
176#17988641C2211yescharacteristic, complemented
177#17988641C2211yescharacteristic, complemented
178#17988627C2211yescharacteristic, complemented
179C2×#14556524C2211yescharacteristic, complemented
180#107×D73C2211yescharacteristic, complemented
181#17988597C2211yescharacteristic, complemented
182C2×#14556516C2211yescharacteristic, complemented
183#103×D73C2211yescharacteristic, complemented
184#102×D73C2211yescharacteristic
185M16×Dic73C2211yescharacteristic, complemented
186C2×#14556501C2211yescharacteristic, complemented
187#97×D73C2211yescharacteristic, complemented
188#554×C73C2211yescharacteristic, complemented
189#546×C73C2211yescharacteristic
190#489×C73C2211yescharacteristic, complemented
191#484×C73C2211yescharacteristic, complemented
192#480×C73C2211yescharacteristic, complemented
193#474×C73C2211yescharacteristic
194#468×C73C2211yescharacteristic, complemented
195#467×C73C2211yescharacteristic, complemented
196#464×C73C2211yescharacteristic, complemented
197#452×C73C2211yescharacteristic
198#450×C73C2211yescharacteristic
199#440×C73C2211yescharacteristic
200#435×C73C2211yescharacteristic, complemented
201#417×C73C2211yescharacteristic
202C2×#102×C73C2211yescharacteristic
203C2×#11924027—21no—
204C2×#11924027D411yescharacteristic
205C22×Dic146C2311yescharacteristic
206C22×Dic146C2311yescharacteristic
207C2×Q8×D73C2311yescharacteristic
208C22×C22⋊D73—21no—
209C2×D4×D73C2311yescharacteristic
210C23×Dic73—21no—
211C22×C4×D73—21no—
212#14556621—24no—
213C2×#11924018C2311yescharacteristic
214C2×#11924018C2311yescharacteristic
215C2×#11924018C2311yescharacteristic
216C2×#11924017C2311yescharacteristic
217C2×#11924017C2311yescharacteristic
218C2×#11924017C2311yescharacteristic
219C2×#11924016—24no—
220C2×#11924016C2311yescharacteristic
221C2×#11924016C2311yescharacteristic
222C2×#11924016C2311yescharacteristic
223C2×#11924016C2311yescharacteristic
224C2×#11924016C2311yescharacteristic
225C2×#11924016C2311yescharacteristic
226C2×#11924015C2311yescharacteristic
227SD16×D73—24no—
228C2×#11924012C2311yescharacteristic
229C22×#10596831C2311yescharacteristic
230C2×C8×D73C2311yescharacteristic
231C2×C8×D73C2311yescharacteristic
232#14556591C2311yescharacteristic
233#14556590—21no—
234#14556590—21no—
235#14556590—21no—
236#14556590—21no—
237#14556590C2311yescharacteristic
238#14556590C2311yescharacteristic
239#14556590C2311yescharacteristic
240#14556589—21no—
241#14556589—21no—
242#14556589C2311yescharacteristic
243#14556589C2311yescharacteristic
244#14556587C2311yescharacteristic
245#14556586—21no—
246#14556586—21no—
247#14556584—21no—
248#14556584—21no—
249#14556583—21no—
250#14556583C2311yescharacteristic
251#14556582—21no—
252#14556582C2311yescharacteristic
253#14556581—21no—
254#14556581—21no—
255#14556581—21no—
256#14556581—21no—
257#14556581—21no—
258#14556581—21no—
259#14556581—21no—
260#14556580C2311yescharacteristic
261#14556577—21no—
262#14556577—21no—
263#14556575—21no—
264#14556575—21no—
265#14556574—21no—
266#14556573—21no—
267#14556573—21no—
268#14556573—21no—
269#14556572—21no—
270#14556571—21no—
271#14556571C2311yescharacteristic
272#14556571C2311yescharacteristic
273#14556570—21no—
274#14556570—21no—
275#14556570—21no—
276#14556570C2311yescharacteristic
277#14556570C2311yescharacteristic
278#14556569—21no—
279#14556569—21no—
280#14556569—21no—
281#14556569—21no—
282#14556568—21no—
283#14556568—21no—
284#14556568—21no—
285#14556568—21no—
286#14556568—21no—
287#14556568—21no—
288#14556568—21no—
289#14556568—21no—
290#14556568—21no—
291#14556567—21no—
292#14556567C2311yescharacteristic
293#14556565C2311yescharacteristic
294#14556565C2311yescharacteristic
295#14556563—21no—
296#14556563—21no—
297#14556563—21no—
298#14556563—21no—
299#14556562—21no—
300#14556562C2311yescharacteristic
301#14556560—21no—
302#14556559—21no—
303#14556559—21no—
304Q8×Dic73—21no—
305Q8×Dic73C2311yescharacteristic
306Q8×Dic73C2311yescharacteristic
307Q8×Dic73C2311yescharacteristic
308C4×Dic146—21no—
309C4×Dic146—21no—
310C4×Dic146C2311yescharacteristic
311C4×Dic146C2311yescharacteristic
312#14556556—21no—
313#14556556—21no—
314#14556556—21no—
315#14556556—21no—
316#14556556—21no—
317#14556556—21no—
318#14556556—21no—
319#14556556—21no—
320#14556556D411yescharacteristic
321#14556556C2311yescharacteristic
322#14556556C2311yescharacteristic
323#14556556C2311yescharacteristic
324#14556556C2311yescharacteristic
325#14556556C2311yescharacteristic
326#14556556C2311yescharacteristic
327#14556556C2311yescharacteristic
328C4×D292C2311yescharacteristic
329D4×Dic73—21no—
330D4×Dic73—21no—
331D4×Dic73—21no—
332D4×Dic73—21no—
333D4×Dic73—21no—
334D4×Dic73D411yescharacteristic
335D4×Dic73C2311yescharacteristic
336D4×Dic73C2311yescharacteristic
337D4×Dic73C2311yescharacteristic
338D4×Dic73C2311yescharacteristic
339D4×Dic73C2311yescharacteristic
340#14556553C2311yescharacteristic
341C4×C22⋊D73—21no—
342C4×C22⋊D73—21no—
343C4×C22⋊D73—21no—
344C4×C22⋊D73C2311yescharacteristic
345C4×C22⋊D73C2311yescharacteristic
346#14556551—21no—
347#14556551—21no—
348#14556551—21no—
349#14556551—21no—
350#14556551—21no—
351#14556551—21no—
352#14556551—21no—
353#14556551—21no—
354#14556551—21no—
355#14556551—21no—
356#14556551D411yescharacteristic
357#14556551D411yescharacteristic
358#14556550—21no—
359#14556550C2311yescharacteristic
360#14556549—21no—
361#14556549—21no—
362#14556549D411yescharacteristic
363#14556547—21no—
364#14556547—21no—
365#14556547—21no—
366#14556547D411yescharacteristic
367#14556547D411yescharacteristic
368C2×C4⋊Dic73C2311yescharacteristic
369C2×#11924007—21no—
370C2×#11924007—21no—
371C2×#11924007—21no—
372C4⋊C4×D73—21no—
373C4⋊C4×D73C2311yescharacteristic
374C4⋊C4×D73C2311yescharacteristic
375C2×C22⋊Dic73—21no—
376C2×#11924005—21no—
377C22⋊C4×D73—21no—
378C2×C4×Dic73—21no—
379C2×C4×Dic73—21no—
380C2×C4×Dic73—21no—
381C2×C4×Dic73C2311yescharacteristic
382C2×C4×Dic73C2311yescharacteristic
383C42×D73—21no—
384C42×D73C2311yescharacteristic
385#14556525C2311yescharacteristic
386#14556525C2311yescharacteristic
387#14556524C2311yescharacteristic
388#14556524C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556524C2311yescharacteristic
391#14556524C2311yescharacteristic
392#14556524C2311yescharacteristic
393#14556524C2311yescharacteristic
394#14556523C2311yescharacteristic
395#14556522C2311yescharacteristic
396#14556522C2311yescharacteristic
397#14556522C2311yescharacteristic
398C4⋊#10596831C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556516C2311yescharacteristic
404#14556516C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556516C2311yescharacteristic
408#14556516C2311yescharacteristic
409#14556516C2311yescharacteristic
410#14556516C2311yescharacteristic
411#14556516C2311yescharacteristic
412#14556515C2311yescharacteristic
413#14556515C2311yescharacteristic
414#14556515C2311yescharacteristic
415#14556515C2311yescharacteristic
416#14556514C2311yescharacteristic
417#14556514C2311yescharacteristic
418#14556514C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556511C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425C22⋊#10596831C2311yescharacteristic
426C22⋊#10596831C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556502C2311yescharacteristic
430#14556501C2311yescharacteristic
431#14556501C2311yescharacteristic
432#14556501C2311yescharacteristic
433#14556501C2311yescharacteristic
434#14556501C2311yescharacteristic
435#14556501C2311yescharacteristic
436C8×Dic73C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C2×#41×C73C2311yescharacteristic
439C22×D4×C73C2311yescharacteristic
440C2×Q16×C73C2311yescharacteristic
441C2×SD16×C73C2311yescharacteristic
442C2×SD16×C73C2311yescharacteristic
443C2×M16×C73C2311yescharacteristic
444C22×C8×C73C2311yescharacteristic
445C4⋊Q8×C73C2311yescharacteristic
446#125×C73—21no—
447#124×C73C2311yescharacteristic
448#123×C73—21no—
449C22⋊Q8×C73—21no—
450C22⋊Q8×C73—21no—
451C22⋊Q8×C73C2311yescharacteristic
452C22⋊Q8×C73C2311yescharacteristic
453C22⋊Q8×C73C2311yescharacteristic
454#121×C73—21no—
455#121×C73C2311yescharacteristic
456#120×C73—21no—
457C4×Q8×C73C2311yescharacteristic
458C4×D4×C73—21no—
459C4×D4×C73C2311yescharacteristic
460C4×D4×C73C2311yescharacteristic
461C2×C4⋊C4×C73C2311yescharacteristic
462C2×C4⋊C4×C73C2311yescharacteristic
463C2×C22⋊C4×C73—21no—
464#107×C73C2311yescharacteristic
465#107×C73C2311yescharacteristic
466#107×C73C2311yescharacteristic
467C4⋊C8×C73C2311yescharacteristic
468#103×C73C2311yescharacteristic
469#103×C73C2311yescharacteristic
470#103×C73C2311yescharacteristic
471#103×C73C2311yescharacteristic
472#102×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478C22⋊C8×C73C2311yescharacteristic
479C22⋊C8×C73C2311yescharacteristic
480#97×C73C2311yescharacteristic
481C23×D73—21no—
482#11924027—24no—
483#11924027—82no—
484C2×Dic146—22no—
485C2×Dic146—22no—
486C2×Dic146—21no—
487C2×Dic146—21no—
488C2×Dic146—21no—
489C2×Dic146—21no—
490C2×Dic146—21no—
491C2×Dic146—21no—
492C2×Dic146—41no—
493C2×Dic146—41no—
494C2×Dic146C2×D411yescharacteristic
495C2×Dic146C2411yescharacteristic
496C2×Dic146C2411yescharacteristic
497C2×Dic146C2411yescharacteristic
498Q8×D73—22no—
499Q8×D73—41no—
500C2×D292C2411yescharacteristic
501C2×C22⋊D73—21no—
502C2×C22⋊D73—21no—
503C2×C22⋊D73—21no—
504C2×C22⋊D73—21no—
505C2×C22⋊D73—21no—
506C2×C22⋊D73—21no—
507C2×C22⋊D73—44no—
508C2×C22⋊D73C2×D411yescharacteristic
509C2×C22⋊D73C2×D411yescharacteristic
510D4×D73—22no—
511D4×D73—41no—
512C22×Dic73—21no—
513C22×Dic73—21no—
514C22×Dic73—21no—
515C22×Dic73—21no—
516C22×Dic73—21no—
517C22×Dic73—21no—
518C22×Dic73—21no—
519C22×Dic73—21no—
520C22×Dic73—82no—
521C22×Dic73C2×D411yescharacteristic
522C22×Dic73C2×D411yescharacteristic
523C22×Dic73C2×D411yescharacteristic
524C22×Dic73C2×D411yescharacteristic
525C2×C4×D73—21no—
526C2×C4×D73—21no—
527C2×C4×D73—21no—
528C2×C4×D73—21no—
529C2×C4×D73—21no—
530C2×C4×D73—82no—
531C2×C4×D73C2×D411yescharacteristic
532C2×C4×D73C2×D411yescharacteristic
533C2×C4×D73C2411yescharacteristic
534#11924018—22no—
535#11924018—22no—
536#11924018—41no—
537#11924017—22no—
538#11924017—41no—
539#11924017—41no—
540#11924016—22no—
541#11924016—22no—
542#11924016—22no—
543#11924016—22no—
544#11924016—41no—
545#11924016#4114yescomplemented
546#11924015—22no—
547#11924012—22no—
548C2×#10596831—22no—
549C2×#10596831C2411yescharacteristic
550C2×#10596831C2411yescharacteristic
551C2×#10596831C2411yescharacteristic
552C2×#10596831C2411yescharacteristic
553C8×D73—22no—
554C8×D73—41no—
555C4⋊Dic73—21no—
556C4⋊Dic73—21no—
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#11924007—21no—
588#11924007—21no—
589#11924007—21no—
590#11924007—21no—
591#11924007—21no—
592#11924007C2×D411yescharacteristic
593#11924007C2×D411yescharacteristic
594#11924007C2×D411yescharacteristic
595#11924007C2×D411yescharacteristic
596C22⋊Dic73—21no—
597C22⋊Dic73—21no—
598C22⋊Dic73—21no—
599C22⋊Dic73—21no—
600C22⋊Dic73—21no—
601C22⋊Dic73—21no—
602C22⋊Dic73—21no—
603C22⋊Dic73—21no—
604C22⋊Dic73—21no—
605C22⋊Dic73C2×D411yescharacteristic
606C22⋊Dic73C2×D411yescharacteristic
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#11924005C2×D411yescharacteristic
617#11924005C2×D411yescharacteristic
618C4×Dic73—21no—
619C4×Dic73—21no—
620C4×Dic73—21no—
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×Dic73C2×D411yescharacteristic
635C4×Dic73C2×D411yescharacteristic
636C4×Dic73C2411yescharacteristic
637C4×Dic73C2411yescharacteristic
638C4×Dic73C2411yescharacteristic
639C24×C73—21no—
640#41×C73—22no—
641#41×C73—41no—
642C2×Q8×C73—21no—
643C2×Q8×C73C2411yescharacteristic
644C2×Q8×C73C2411yescharacteristic
645C2×D4×C73—22no—
646C2×D4×C73—21no—
647C2×D4×C73—21no—
648C2×D4×C73—21no—
649C2×D4×C73—41no—
650C2×D4×C73C2×D411yescharacteristic
651C2×D4×C73C2411yescharacteristic
652C2×D4×C73C2411yescharacteristic
653C22×C4×C73—21no—
654C22×C4×C73—21no—
655C22×C4×C73—21no—
656C22×C4×C73—21no—
657C22×C4×C73C2411yescharacteristic
658C22×C4×C73C2411yescharacteristic
659Q16×C73—41no—
660SD16×C73—22no—
661SD16×C73—41no—
662M16×C73—41no—
663C2×C8×C73—41no—
664C2×C8×C73C2411yescharacteristic
665C2×C8×C73C2411yescharacteristic
666C2×C8×C73C2411yescharacteristic
667C2×C8×C73C2411yescharacteristic
668C4⋊C4×C73—21no—
669C4⋊C4×C73—21no—
670C4⋊C4×C73—21no—
671C4⋊C4×C73—21no—
672C4⋊C4×C73—21no—
673C4⋊C4×C73—21no—
674C4⋊C4×C73—21no—
675C4⋊C4×C73C2×D411yescharacteristic
676C4⋊C4×C73C2411yescharacteristic
677C4⋊C4×C73C2411yescharacteristic
678C4⋊C4×C73C2411yescharacteristic
679C4⋊C4×C73C2411yescharacteristic
680C22⋊C4×C73—21no—
681C22⋊C4×C73—21no—
682C22⋊C4×C73—21no—
683C22⋊C4×C73—21no—
684C22⋊C4×C73—21no—
685C22⋊C4×C73—21no—
686C22⋊C4×C73—21no—
687C22⋊C4×C73C2×D411yescharacteristic
688C22⋊C4×C73C2×D411yescharacteristic
689C42×C73—21no—
690C42×C73C2411yescharacteristic
691C23×C73—21no—
692C23×C73—21no—
693C23×C73—42no—
694C23×C73—42no—
695C23×C73—81no—
696C23×C73C22×D411yescharacteristic
697C23×C73C22×D411yescharacteristic
698C22×D73—21no—
699C22×D73—42no—
700C22×D73—42no—
701C22×D73—81no—
702C22×D73C22×D411yescharacteristic
703Q8×C73—21no—
704Q8×C73—21no—
705Q8×C73—21no—
706Q8×C73—21no—
707Q8×C73—81no—
708D4×C73—22no—
709D4×C73—21no—
710D4×C73—21no—
711D4×C73—21no—
712D4×C73—42no—
713D4×C73—42no—
714D4×C73—81no—
715D4×C73C2×#4112yes—
716C2×C4×C73—21no—
717C2×C4×C73—21no—
718C2×C4×C73—21no—
719C2×C4×C73—21no—
720C2×C4×C73—21no—
721C2×C4×C73—21no—
722C2×C4×C73—21no—
723C2×C4×C73—21no—
724C2×C4×C73—21no—
725C2×C4×C73—21no—
726C2×C4×C73—42no—
727C2×C4×C73—81no—
728C2×C4×C73—81no—
729C2×C4×C73—81no—
730C2×C4×C73C22×D411yescharacteristic
731C2×C4×C73C22×D411yescharacteristic
732C2×C4×C73C22×D411yescharacteristic
733C2×C4×C73C22×D411yescharacteristic
734C2×C4×C73C2511yescharacteristic
735C22⋊D73—22no—
736C22⋊D73—42no—
737C22⋊D73—42no—
738C22⋊D73—42no—
739C22⋊D73—42no—
740C22⋊D73—81no—
741C22⋊D73—81no—
742C22⋊D73#13714yescomplemented
743C2×Dic73—22no—
744C2×Dic73—21no—
745C2×Dic73—22no—
746C2×Dic73—21no—
747C2×Dic73—21no—
748C2×Dic73—21no—
749C2×Dic73—21no—
750C2×Dic73—21no—
751C2×Dic73—21no—
752C2×Dic73—41no—
753C2×Dic73—41no—
754C2×Dic73—42no—
755C2×Dic73—42no—
756C2×Dic73—42no—
757C2×Dic73—42no—
758C2×Dic73—42no—
759C2×Dic73—81no—
760C2×Dic73—81no—
761C2×Dic73—81no—
762C2×Dic73C22×D411yescharacteristic
763C2×Dic73C22×D411yescharacteristic
764C2×Dic73C22×D411yescharacteristic
765C2×Dic73C22×D411yescharacteristic
766C2×Dic73C22×D411yescharacteristic
767C2×Dic73C22×D411yescharacteristic
768C2×Dic73C22×D411yescharacteristic
769D292—21no—
770D292—21no—
771C4×D73—22no—
772C4×D73—21no—
773C4×D73—21no—
774C4×D73—41no—
775C4×D73—42no—
776C4×D73—42no—
777C4×D73—81no—
778C4×D73—81no—
779C4×D73—81no—
780Dic146—21no—
781Dic146—22no—
782Dic146—21no—
783Dic146—21no—
784Dic146—21no—
785Dic146—21no—
786Dic146—42no—
787Dic146—42no—
788Dic146—42no—
789Dic146—81no—
790Dic146—81no—
791Dic146—81no—
792Dic146C2×#4112yes—
793C8×C73—21no—
794C8×C73—21no—
795C8×C73—21no—
796C8×C73—21no—
797#10596831—21no—
798#10596831—21no—
799#10596831—21no—
800#10596831C2×#4112yes—
801C22×C73—21no—
802C22×C73—21no—
803C22×C73—21no—
804C22×C73—21no—
805C22×C73—22no—
806C22×C73—21no—
807C22×C73—41no—
808C22×C73—41no—
809C22×C73—41no—
810C22×C73—41no—
811C22×C73—41no—
812C22×C73—84no—
813C22×C73C2×#13712yes—
814C22×C73C23×D411yescharacteristic
815C2×D73—21no—
816C2×D73—21no—
817C2×D73—41no—
818C2×D73—41no—
819C2×D73—41no—
820C2×D73—84no—
821C2×D73C2×#13712yes—
822C4×C73—21no—
823C4×C73—21no—
824C4×C73—21no—
825C4×C73—21no—
826C4×C73—41no—
827C4×C73—41no—
828C4×C73—41no—
829C4×C73—41no—
830C4×C73—41no—
831C4×C73—41no—
832C4×C73C22×#4111yescharacteristic
833C4×C73#58511yescharacteristic
834Dic73—21no—
835Dic73—21no—
836Dic73—21no—
837Dic73—22no—
838Dic73—21no—
839Dic73—21no—
840Dic73—21no—
841Dic73—41no—
842Dic73—41no—
843Dic73—41no—
844Dic73—41no—
845Dic73—41no—
846Dic73—41no—
847Dic73C2×#13712yes—
848#61453—731nomaximal, Sylow
849C2×C73—22no—
850C2×C73—42no—
851C2×C73—41no—
852C2×C73—81no—
853C2×C73D4×#4111yescharacteristic
854C2×C73C22×#13711yescharacteristic
855C2×C73#358511yescharacteristic
856D73—22no—
857D73—81no—
858#3481—731no—
859Q8×#41—731no—
860#3400—731no—
861#3385—731no—
862#3375—731no—
863#3372—731no—
864#3346—731no—
865#3346—731no—
866#3338—731no—
867#3320—731no—
868#3320—731no—
869#3314—731no—
870#3314D7311yescharacteristic, complemented
871#3299—731no—
872#3295—731no—
873D4×SD16—731no—
874#3266—731no—
875#3266—731no—
876#3182—731no—
877#3181—731no—
878#3181—731no—
879#3117—731no—
880#3117—731no—
881#3116—731no—
882#3112—731no—
883#3110—731no—
884#3110—731no—
885#2970—731no—
886C4×#137—731no—
887C2×#440—731no—
888C2×#440—731no—
889C73#6145311yescharacteristic, complemented, Sylow
890C2×#137—731no—
891C22×SD16—731no—
892C22×SD16—731no—
893#559—731no—
894Q82—731no—
895#557—731no—
896#557—1461no—
897#554—731no—
898#554—731no—
899#554—731no—
900#554—731no—
901#554—1461no—
902#554—1461no—
903#554—1461no—
904#554C2×D7311yescharacteristic, complemented
905#553—731no—
906#553—731no—
907#553—1461no—
908#551—1461no—
909#551—1461no—
910D4×Q8—731no—
911D4×Q8—731no—
912D4×Q8—731no—
913#546—731no—
914#546—1461no—
915#546C2×D7311yescharacteristic
916D42—731no—
917#533—731no—
918#533—731no—
919#533—731no—
920#533—1461no—
921#533—1461no—
922#533—1461no—
923#532—731no—
924#529—731no—
925#529—731no—
926#529—1461no—
927#525—1461no—
928#525—1461no—
929C4×#41—731no—
930C4×#41—731no—
931C4×#41—1461no—
932C2×C4×Q8—731no—
933C2×C4×Q8—731no—
934C2×C4×Q8—731no—
935C2×C4×D4—731no—
936C2×C4×D4—731no—
937C2×C4×D4—1461no—
938#501—731no—
939#501—731no—
940#500—731no—
941#497—731no—
942#497—731no—
943#492—731no—
944#491—731no—
945#491—731no—
946#489—731no—
947#489C2×D7311yescharacteristic, complemented
948#487—731no—
949#486—731no—
950#485—731no—
951#485—731no—
952#484—731no—
953#484—731no—
954#484—731no—
955#484—731no—
956#484—731no—
957#484C2×D7311yescharacteristic, complemented
958#481—731no—
959#481—731no—
960#480—731no—
961#480C2×D7311yescharacteristic, complemented
962#479—731no—
963#479—731no—
964#479—731no—
965#479—731no—
966#477—731no—
967#477—731no—
968#477—731no—
969#476—731no—
970#474—731no—
971#474—731no—
972#474—731no—
973#474C2×D7311yescharacteristic
974#468—731no—
975#468—731no—
976#468—731no—
977#468C2×D7311yescharacteristic, complemented
978#467—731no—
979#467—731no—
980#467—731no—
981#467C2×D7311yescharacteristic, complemented
982#465—731no—
983#465—731no—
984#465—731no—
985#465—731no—
986#464—731no—
987#464—731no—
988#464—731no—
989#464C2×D7311yescharacteristic, complemented
990#462—731no—
991#461—731no—
992#461—731no—
993#461—731no—
994#461—731no—
995#461—731no—
996#460—731no—
997#460—731no—
998#452—731no—
999#452C2×D7311yescharacteristic
1000#451—731no—
1001#451—731no—
1002#450—731no—
1003#450—731no—
1004#450—731no—
1005#450C2×D7311yescharacteristic
1006#448—731no—
1007#448—731no—
1008#448—731no—
1009#448—731no—
1010#446—731no—
1011#446—731no—
1012#441—731no—
1013#441—731no—
1014#441—731no—
1015#441—731no—
1016#440—731no—
1017#440—731no—
1018#440—731no—
1019#440—731no—
1020#440—731no—
1021#440—731no—
1022#440—731no—
1023#440—731no—
1024#440—731no—
1025#440—731no—
1026#440—731no—
1027#440—731no—
1028#440—731no—
1029#440—731no—
1030#440—731no—
1031#440—731no—
1032#440—731no—
1033#440—731no—
1034#440—731no—
1035#440C2×D7311yescharacteristic
1036C4×Q16—731no—
1037C4×Q16—731no—
1038C4×SD16—731no—
1039C4×SD16—731no—
1040#435—731no—
1041#435—731no—
1042#435—731no—
1043#435C2×D7311yescharacteristic, complemented
1044C8×D4—731no—
1045C8×D4—731no—
1046#432—731no—
1047#432—731no—
1048#432—731no—
1049#428—731no—
1050C2×#107—731no—
1051C2×#107—731no—
1052#419—731no—
1053#417C2×D7311yescharacteristic
1054C2×#103—731no—
1055C2×#103—731no—
1056C2×#102—731no—
1057C2×#102C2×D7311yescharacteristic
1058C4×M16—731no—
1059C2×#97—731no—
1060C2×#97—731no—
1061C2×#41—731no—
1062C2×#41—1461no—
1063C2×#41C22×D7311yescharacteristic
1064C22×Q8—731no—
1065C22×Q8—731no—
1066C22×Q8—731no—
1067C22×D4—731no—
1068C22×D4—1461no—
1069C22×D4C22×D7311yescharacteristic
1070C23×C4—1461no—
1071C23×C4—1461no—
1072#137—1464no—
1073C2×Q16—731no—
1074C2×Q16—731no—
1075C2×Q16—731no—
1076C2×Q16C22×D7311yescharacteristic
1077C2×SD16—731no—
1078C2×SD16—731no—
1079C2×SD16—731no—
1080C2×SD16—731no—
1081C2×SD16—731no—
1082C2×SD16—731no—
1083C2×SD16—731no—
1084C2×SD16—731no—
1085C2×SD16—731no—
1086C2×SD16—731no—
1087C2×SD16—1464no—
1088C2×SD16—1464no—
1089C2×SD16C22×D7311yescharacteristic
1090C2×SD16C22×D7311yescharacteristic
1091C2×M16—731no—
1092C2×M16C22×D7311yescharacteristic
1093C22×C8—731no—
1094C22×C8—731no—
1095C22×C8—731no—
1096C22×C8C22×D7311yescharacteristic
1097C4⋊Q8—731no—
1098C4⋊Q8—731no—
1099C4⋊Q8—731no—
1100C4⋊Q8—731no—
1101C4⋊Q8—731no—
1102C4⋊Q8—731no—
1103C4⋊Q8—1461no—
1104C4⋊Q8—1461no—
1105C4⋊Q8—1461no—
1106C4⋊Q8—1461no—
1107C4⋊Q8—1461no—
1108C4⋊Q8—1461no—
1109C4⋊Q8C22×D7311yescharacteristic
1110#127—731no—
1111#126—1461no—
1112#126—1461no—
1113#126—1461no—
1114#126—1461no—
1115#125—21no—
1116#125—731no—
1117#125—731no—
1118#125—1461no—
1119#125—1461no—
1120#125—1461no—
1121#125—1461no—
1122#125—1461no—
1123#125—1461no—
1124#125—1461no—
1125#125—1461no—
1126#125—1461no—
1127#124—731no—
1128#124—1461no—
1129#124—1461no—
1130#124C22×D7311yescharacteristic
1131#123—21no—
1132#123—1461no—
1133#123—1461no—
1134#123—1461no—
1135#123—1461no—
1136#123—1461no—
1137#123—1461no—
1138#123—1461no—
1139C22⋊Q8—21no—
1140C22⋊Q8—21no—
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—
1157C22⋊Q8—1461no—
1158C22⋊Q8—1461no—
1159C22⋊Q8—1461no—
1160C22⋊Q8—1461no—
1161C22⋊Q8—1461no—
1162C22⋊Q8—1461no—
1163C22⋊Q8—1461no—
1164C22⋊Q8C22×D7311yescharacteristic
1165C22⋊Q8C22×D7311yescharacteristic
1166C22⋊Q8C22×D7311yescharacteristic
1167#121—21no—
1168#121—731no—
1169#121—731no—
1170#121—731no—
1171#121—1461no—
1172#121—1461no—
1173#121—1461no—
1174#121—1461no—
1175#121—1461no—
1176#121C22×D7311yescharacteristic
1177#120—21no—
1178#120—1461no—
1179#120—1461no—
1180#120—1461no—
1181C4×Q8—731no—
1182C4×Q8—731no—
1183C4×Q8—731no—
1184C4×Q8—731no—
1185C4×Q8—731no—
1186C4×Q8—731no—
1187C4×Q8—731no—
1188C4×Q8—731no—
1189C4×Q8—731no—
1190C4×Q8—731no—
1191C4×Q8—731no—
1192C4×Q8—731no—
1193C4×Q8—731no—
1194C4×Q8—1461no—
1195C4×Q8—1461no—
1196C4×Q8—1461no—
1197C4×Q8—1461no—
1198C4×Q8—1461no—
1199C4×Q8—1461no—
1200C4×Q8—1461no—
1201C4×Q8—1461no—
1202C4×Q8—1461no—
1203C4×Q8—1461no—
1204C4×Q8—1461no—
1205C4×Q8C22×D7311yescharacteristic
1206C4×D4—21no—
1207C4×D4—731no—
1208C4×D4—731no—
1209C4×D4—731no—
1210C4×D4—731no—
1211C4×D4—731no—
1212C4×D4—731no—
1213C4×D4—731no—
1214C4×D4—731no—
1215C4×D4—731no—
1216C4×D4—731no—
1217C4×D4—731no—
1218C4×D4—731no—
1219C4×D4—1461no—
1220C4×D4—1461no—
1221C4×D4—1461no—
1222C4×D4—1461no—
1223C4×D4—1461no—
1224C4×D4—1461no—
1225C4×D4—1461no—
1226C4×D4—1461no—
1227C4×D4—1461no—
1228C4×D4—1461no—
1229C4×D4—1461no—
1230C4×D4—1461no—
1231C4×D4—1461no—
1232C4×D4—1461no—
1233C4×D4—1461no—
1234C4×D4—1461no—
1235C4×D4—1461no—
1236C4×D4—1461no—
1237C4×D4C22×D7311yescharacteristic
1238C4×D4C22×D7311yescharacteristic
1239#117—731no—
1240#117—731no—
1241#117—731no—
1242#117—731no—
1243#117—1461no—
1244#117—1461no—
1245#117—1461no—
1246#117—1461no—
1247#117—1461no—
1248#117—1461no—
1249C2×C4⋊C4—731no—
1250C2×C4⋊C4—731no—
1251C2×C4⋊C4—731no—
1252C2×C4⋊C4—1461no—
1253C2×C4⋊C4—1461no—
1254C2×C4⋊C4—1461no—
1255C2×C4⋊C4—1461no—
1256C2×C4⋊C4C22×D7311yescharacteristic
1257C2×C4⋊C4C22×D7311yescharacteristic
1258C2×C22⋊C4—21no—
1259C2×C22⋊C4—1461no—
1260C2×C22⋊C4—1461no—
1261C2×C22⋊C4—1461no—
1262C2×C42—731no—
1263C2×C42—731no—
1264C2×C42—731no—
1265C2×C42—1461no—
1266C2×C42—1461no—
1267C2×C42—1461no—
1268C2×C42—1461no—
1269#107—731no—
1270#107—731no—
1271#107—731no—
1272#107—731no—
1273#107—731no—
1274#107—731no—
1275#107—731no—
1276#107—731no—
1277#107—731no—
1278#107C22×D7311yescharacteristic
1279#107C22×D7311yescharacteristic
1280#107C22×D7311yescharacteristic
1281#106—731no—
1282#106—731no—
1283#106—731no—
1284#106—731no—
1285C4⋊C8—731no—
1286C4⋊C8—731no—
1287C4⋊C8—731no—
1288C4⋊C8—731no—
1289C4⋊C8—731no—
1290C4⋊C8C22×D7311yescharacteristic
1291#103—731no—
1292#103—731no—
1293#103—731no—
1294#103—731no—
1295#103—731no—
1296#103—731no—
1297#103—731no—
1298#103—731no—
1299#103—731no—
1300#103—731no—
1301#103—731no—
1302#103—731no—
1303#103—731no—
1304#103—731no—
1305#103—731no—
1306#103—731no—
1307#103C22×D7311yescharacteristic
1308#103C22×D7311yescharacteristic
1309#103C22×D7311yescharacteristic
1310#103C22×D7311yescharacteristic
1311#102—731no—
1312#102—731no—
1313#102—731no—
1314#102—731no—
1315#102—731no—
1316#102—731no—
1317#102C22×D7311yescharacteristic
1318#102C22×D7311yescharacteristic
1319#102C22×D7311yescharacteristic
1320#102C22×D7311yescharacteristic
1321#102C22×D7311yescharacteristic
1322#102C22×D7311yescharacteristic
1323C22⋊C8—731no—
1324C22⋊C8—731no—
1325C22⋊C8—731no—
1326C22⋊C8—731no—
1327C22⋊C8C22×D7311yescharacteristic
1328C22⋊C8C22×D7311yescharacteristic
1329#97—731no—
1330#97—731no—
1331#97—731no—
1332#97—731no—
1333#97—731no—
1334#97—731no—
1335#97—731no—
1336#97C22×D7311yescharacteristic
1337C4×C8—731no—
1338C4×C8—731no—
1339C24—21no—
1340C24—1461no—
1341#41—22no—
1342#41—41no—
1343#41—5842no—
1344#41—1464no—
1345C2×Q8—21no—
1346C2×Q8—2921no—
1347C2×Q8—2921no—
1348C2×Q8—2921no—
1349C2×Q8—731no—
1350C2×Q8—731no—
1351C2×Q8—731no—
1352C2×Q8—731no—
1353C2×Q8—1462no—
1354C2×Q8—1462no—
1355C2×Q8—1461no—
1356C2×Q8—1461no—
1357C2×Q8—1461no—
1358C2×Q8—1461no—
1359C2×Q8—1462no—
1360C2×Q8—1461no—
1361C2×Q8—1461no—
1362C2×Q8C23×D7311yescharacteristic
1363C2×Q8C23×D7311yescharacteristic
1364C2×D4—22no—
1365C2×D4—21no—
1366C2×D4—21no—
1367C2×D4—21no—
1368C2×D4—41no—
1369C2×D4—2924no—
1370C2×D4—2921no—
1371C2×D4—731no—
1372C2×D4—731no—
1373C2×D4—731no—
1374C2×D4—1461no—
1375C2×D4—1461no—
1376C2×D4—1461no—
1377C2×D4—1461no—
1378C2×D4—1461no—
1379C2×D4—1462no—
1380C2×D4—1461no—
1381C2×D4D4×D7311yescharacteristic
1382C2×D4C23×D7311yescharacteristic
1383C2×D4C23×D7311yescharacteristic
1384C22×C4—21no—
1385C22×C4—21no—
1386C22×C4—21no—
1387C22×C4—21no—
1388C22×C4—5842no—
1389C22×C4—5842no—
1390C22×C4—731no—
1391C22×C4—731no—
1392C22×C4—731no—
1393C22×C4—731no—
1394C22×C4—731no—
1395C22×C4—731no—
1396C22×C4—731no—
1397C22×C4—1461no—
1398C22×C4—1461no—
1399C22×C4—1461no—
1400C22×C4—1461no—
1401C22×C4—1461no—
1402C22×C4—1461no—
1403C22×C4—1461no—
1404C22×C4—1461no—
1405C22×C4—1461no—
1406C22×C4—1461no—
1407C22×C4—1461no—
1408C22×C4—1461no—
1409C22×C4—1461no—
1410C22×C4C23×D7311yescharacteristic
1411C22×C4C23×D7311yescharacteristic
1412Q16—41no—
1413Q16—2921no—
1414Q16—1462no—
1415Q16—1462no—
1416SD16—22no—
1417SD16—41no—
1418SD16—2921no—
1419SD16—2921no—
1420SD16—2921no—
1421SD16—734no—
1422SD16—1462no—
1423SD16—1462no—
1424SD16—1462no—
1425SD16—1462no—
1426SD16—1462no—
1427SD16—1462no—
1428M16—41no—
1429M16—1462no—
1430C2×C8—41no—
1431C2×C8—2921no—
1432C2×C8—731no—
1433C2×C8—731no—
1434C2×C8—731no—
1435C2×C8—731no—
1436C2×C8—1462no—
1437C2×C8—1462no—
1438C2×C8C23×D7311yescharacteristic
1439C2×C8C23×D7311yescharacteristic
1440C2×C8C23×D7311yescharacteristic
1441C2×C8C23×D7311yescharacteristic
1442C4⋊C4—21no—
1443C4⋊C4—21no—
1444C4⋊C4—21no—
1445C4⋊C4—21no—
1446C4⋊C4—21no—
1447C4⋊C4—21no—
1448C4⋊C4—21no—
1449C4⋊C4—731no—
1450C4⋊C4—731no—
1451C4⋊C4—731no—
1452C4⋊C4—731no—
1453C4⋊C4—731no—
1454C4⋊C4—731no—
1455C4⋊C4—731no—
1456C4⋊C4—731no—
1457C4⋊C4—731no—
1458C4⋊C4—1461no—
1459C4⋊C4—1461no—
1460C4⋊C4—1461no—
1461C4⋊C4—1461no—
1462C4⋊C4—1461no—
1463C4⋊C4—1461no—
1464C4⋊C4—1461no—
1465C4⋊C4—1461no—
1466C4⋊C4—1461no—
1467C4⋊C4—1461no—
1468C4⋊C4—1461no—
1469C4⋊C4—1461no—
1470C4⋊C4—1461no—
1471C4⋊C4—1461no—
1472C4⋊C4—1461no—
1473C4⋊C4—1461no—
1474C4⋊C4—1461no—
1475C4⋊C4—1461no—
1476C4⋊C4—1461no—
1477C4⋊C4—1461no—
1478C4⋊C4—1461no—
1479C4⋊C4—1461no—
1480C4⋊C4—1461no—
1481C4⋊C4—1461no—
1482C4⋊C4—1461no—
1483C4⋊C4—1461no—
1484C4⋊C4—1461no—
1485C4⋊C4—1461no—
1486C4⋊C4—1461no—
1487C4⋊C4—1461no—
1488C4⋊C4—1461no—
1489C4⋊C4—1461no—
1490C4⋊C4D4×D7311yescharacteristic
1491C4⋊C4C23×D7311yescharacteristic
1492C4⋊C4C23×D7311yescharacteristic
1493C4⋊C4C23×D7311yescharacteristic
1494C4⋊C4C23×D7311yescharacteristic
1495C22⋊C4—21no—
1496C22⋊C4—21no—
1497C22⋊C4—21no—
1498C22⋊C4—21no—
1499C22⋊C4—21no—
1500C22⋊C4—21no—
1501C22⋊C4—21no—
1502C22⋊C4—731no—
1503C22⋊C4—731no—
1504C22⋊C4—731no—
1505C22⋊C4—731no—
1506C22⋊C4—1461no—
1507C22⋊C4—1461no—
1508C22⋊C4—1461no—
1509C22⋊C4—1461no—
1510C22⋊C4—1461no—
1511C22⋊C4—1461no—
1512C22⋊C4—1461no—
1513C22⋊C4—1461no—
1514C22⋊C4—1461no—
1515C22⋊C4—1461no—
1516C22⋊C4—1461no—
1517C22⋊C4—1461no—
1518C22⋊C4—1461no—
1519C22⋊C4—1461no—
1520C22⋊C4—1461no—
1521C22⋊C4—1461no—
1522C22⋊C4—1461no—
1523C22⋊C4—1461no—
1524C22⋊C4D4×D7311yescharacteristic
1525C22⋊C4D4×D7311yescharacteristic
1526C42—21no—
1527C42—731no—
1528C42—731no—
1529C42—731no—
1530C42—731no—
1531C42—731no—
1532C42—731no—
1533C42—731no—
1534C42—731no—
1535C42—731no—
1536C42—1461no—
1537C42—1461no—
1538C42—1461no—
1539C42—1461no—
1540C42—1461no—
1541C42—1461no—
1542C42—1461no—
1543C42—1461no—
1544C42—1461no—
1545C42—1461no—
1546C42—1461no—
1547C42—1461no—
1548C42C23×D7311yescharacteristic
1549C23—21no—
1550C23—21no—
1551C23—42no—
1552C23—42no—
1553C23—81no—
1554C23—2922no—
1555C23—2922no—
1556C23—5841no—
1557C23—731no—
1558C23—1461no—
1559C23C2×D4×D7311yescharacteristic
1560C23C2×D4×D7311yescharacteristic
1561Q8—21no—
1562Q8—21no—
1563Q8—21no—
1564Q8—21no—
1565Q8—81no—
1566Q8—2922no—
1567Q8—2922no—
1568Q8—2922no—
1569Q8—5841no—
1570Q8—5841no—
1571Q8—5841no—
1572Q8—732no—
1573Q8—1462no—
1574Q8—1461no—
1575Q8—1461no—
1576Q8—1461no—
1577Q8—1461no—
1578Q8—1461no—
1579D4—22no—
1580D4—21no—
1581D4—21no—
1582D4—21no—
1583D4—42no—
1584D4—42no—
1585D4—81no—
1586D4—2922no—
1587D4—2922no—
1588D4—2922no—
1589D4—2922no—
1590D4—5841no—
1591D4—5841no—
1592D4—734no—
1593D4—1462no—
1594D4—1461no—
1595D4—1461no—
1596D4#41×D7312yes—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—42no—
1608C2×C4—81no—
1609C2×C4—81no—
1610C2×C4—81no—
1611C2×C4—2921no—
1612C2×C4—2922no—
1613C2×C4—2922no—
1614C2×C4—2922no—
1615C2×C4—2922no—
1616C2×C4—2922no—
1617C2×C4—2922no—
1618C2×C4—2922no—
1619C2×C4—2921no—
1620C2×C4—2921no—
1621C2×C4—5841no—
1622C2×C4—5841no—
1623C2×C4—5841no—
1624C2×C4—5841no—
1625C2×C4—5841no—
1626C2×C4—5841no—
1627C2×C4—731no—
1628C2×C4—731no—
1629C2×C4—731no—
1630C2×C4—731no—
1631C2×C4—731no—
1632C2×C4—731no—
1633C2×C4—731no—
1634C2×C4—1462no—
1635C2×C4—1461no—
1636C2×C4—1461no—
1637C2×C4—1461no—
1638C2×C4—1461no—
1639C2×C4—1461no—
1640C2×C4—1461no—
1641C2×C4—1462no—
1642C2×C4—1462no—
1643C2×C4—1461no—
1644C2×C4—1461no—
1645C2×C4—1461no—
1646C2×C4C2×D4×D7311yescharacteristic
1647C2×C4C2×D4×D7311yescharacteristic
1648C2×C4C2×D4×D7311yescharacteristic
1649C2×C4C2×D4×D7311yescharacteristic
1650C2×C4C24×D7311yescharacteristic
1651C8—21no—
1652C8—21no—
1653C8—21no—
1654C8—21no—
1655C8—732no—
1656C8—1461no—
1657C8—1461no—
1658C8—1461no—
1659C22—21no—
1660C22—21no—
1661C22—21no—
1662C22—21no—
1663C22—22no—
1664C22—21no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
1670C22—84no—
1671C22—2921no—
1672C22—2921no—
1673C22—2921no—
1674C22—5844no—
1675C22—732no—
1676C22—1461no—
1677C22—1461no—
1678C22#137×D7312yes—
1679C22C22×D4×D7311yescharacteristic
1680C4—21no—
1681C4—21no—
1682C4—21no—
1683C4—21no—
1684C4—41no—
1685C4—41no—
1686C4—41no—
1687C4—41no—
1688C4—41no—
1689C4—41no—
1690C4—2921no—
1691C4—2921no—
1692C4—2921no—
1693C4—2921no—
1694C4—2921no—
1695C4—2921no—
1696C4—732no—
1697C4—1461no—
1698C4—1461no—
1699C4—1462no—
1700C4—1461no—
1701C4—1461no—
1702C4—1461no—
1703C4—1461no—
1704C4C2×#41×D7311yescharacteristic
1705C4#1798942211yescharacteristic
1706C2—22no—
1707C2—41no—
1708C2—42no—
1709C2—81no—
1710C2—5841no—
1711C2—1462no—
1712C2#2262341511yescharacteristic
1713C2C2×#137×D7311yescharacteristic
1714C2#2262470611yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3314C2
socleC22×C73C23×D4
prime radical#22623536C2
hypercenter#3314D73
hypocenterC73#61453
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3314

Complements

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

NH ≅ G/Ntype
2. #22623510C2semidirect
3. #22622987C2semidirect
4. #22622836C2semidirect
5. #22622742C2semidirect
6. #22622713C2semidirect
7. #22622419C2semidirect
8. #22622410C2semidirect
9. #22622318C2semidirect
10. #22622104C2semidirect
11. #22622097C2semidirect
12. #22622013C2semidirect
13. #22621802C2semidirect
14. #22621751C2semidirect
15. #22621625C2semidirect
16. #22621439C2semidirect
17. #22621437C2semidirect
18. #22620644C2semidirect
19. #22620643C2semidirect
20. #22620635C2semidirect
21. #22620105C2semidirect
22. #22620101C2semidirect
23. #22620086C2semidirect
24. #22620050C2semidirect
25. #22620032C2semidirect
26. #22620025C2semidirect
27. #22618941C2semidirect
28. #22618755C2semidirect
29. C2×#17988684C2semidirect
30. #440×D73C2semidirect
31. C73×#3314C2semidirect
36. #17989317C22semidirect
37. #17989315C22semidirect
43. #17989292C22semidirect
51. D4×Dic146C22semidirect
53. #17989250C22semidirect
58. #17989142C22semidirect
61. #17989139C22semidirect
62. #17989139C22semidirect
72. C2×#14556556C22semidirect
73. C2×#14556556C22semidirect
74. C4×Q8×D73C22semidirect
78. #17988995C22semidirect
79. #17988993C22semidirect
80. #17988991C22semidirect
81. #17988982C22semidirect
82. #17988980C22semidirect
84. #17988956C22semidirect
85. #17988954C22semidirect
86. #17988948C22semidirect
87. #17988936C22semidirect
89. #17988929C22semidirect
90. #17988925C22semidirect
91. #17988924C22semidirect
92. #17988924C22semidirect
93. #17988923C22semidirect
94. #17988921C22semidirect
95. #17988920C22semidirect
98. #17988900C22semidirect
99. #17988895C22semidirect
100. #17988894C22semidirect
101. #17988893C22semidirect
102. #17988893C22semidirect
103. #17988881C22semidirect
104. #17988881C22semidirect
105. #17988880C22semidirect
108. #17988865C22semidirect
109. #17988864C22semidirect
110. #17988835C22semidirect
111. #17988833C22semidirect
112. #17988831C22semidirect
113. #17988827C22semidirect
114. #17988827C22semidirect
115. #17988826C22semidirect
120. #17988812C22semidirect
121. #17988812C22semidirect
122. #17988806C22semidirect
123. #17988795C22semidirect
124. #17988793C22semidirect
128. #17988790C22semidirect
132. #17988742C22semidirect
133. #17988741C22semidirect
138. #17988728C22semidirect
139. #17988725C22semidirect
141. #17988716C22semidirect
142. #17988715C22semidirect
143. #17988694C22semidirect
144. #17988691C22semidirect
145. #17988691C22semidirect
146. #17988691C22semidirect
147. #17988690C22semidirect
148. #17988689C22semidirect
150. #17988688C22semidirect
152. #17988686C22semidirect
153. #17988686C22semidirect
154. #17988686C22semidirect
155. #17988685C22semidirect
161. #17988684C22semidirect
162. #17988684C22semidirect
163. #17988684C22semidirect
164. #17988684C22semidirect
165. #17988684C22semidirect
166. #17988679C22semidirect
167. #17988679C22semidirect
170. #17988661C22semidirect
171. #17988659C22semidirect
172. #17988656C22semidirect
175. #17988643C22semidirect
176. #17988641C22semidirect
177. #17988641C22semidirect
178. #17988627C22semidirect
179. C2×#14556524C22semidirect
180. #107×D73C22semidirect
181. #17988597C22semidirect
182. C2×#14556516C22semidirect
183. #103×D73C22semidirect
185. M16×Dic73C22semidirect
186. C2×#14556501C22semidirect
187. #97×D73C22semidirect
188. #554×C73C22semidirect
190. #489×C73C22semidirect
191. #484×C73C22semidirect
192. #480×C73C22semidirect
194. #468×C73C22semidirect
195. #467×C73C22semidirect
196. #464×C73C22semidirect
200. #435×C73C22semidirect
545. #11924016#41semidirect
742. C22⋊D73#137semidirect
870. #3314D73semidirect
889. C73#61453semidirect
904. #554C2×D73semidirect
947. #489C2×D73semidirect
957. #484C2×D73semidirect
961. #480C2×D73semidirect
977. #468C2×D73semidirect
981. #467C2×D73semidirect
989. #464C2×D73semidirect
1043. #435C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226235362
#226235102
#226229872
#226228362
#226227422
#226227132
#226224192
#226224102
#226223182
#226221042
#226220972
#226220132
#226218022
#226217512
#226216252
#226214392
#226214372
#226206442
#226206432
#226206352
#226201052
#226201012
#226200862
#226200502
#226200322
#226200252
#226189412
#226187552
C2×#179886842
#440×D732
C73×#33142
#6145373