Finite Group Databasebeta

← #33982721

Subgroups — #33982721

Order 18688.

1754 conjugacy classes of subgroups.

The subgroup lattice has 1682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624377C211yesmaximal, characteristic, complemented
2#22623870C211yesmaximal, characteristic, complemented
3#22622870C211yesmaximal, characteristic, complemented
4#22622832C211yesmaximal, characteristic, complemented
5#22622719C211yesmaximal, characteristic, complemented
6#22622481C211yesmaximal, characteristic, complemented
7#22622408C211yesmaximal, characteristic, complemented
8#22622398C211yesmaximal, characteristic, complemented
9#22622391C211yesmaximal, characteristic, complemented
10#22622307C211yesmaximal, characteristic, complemented
11#22622290C211yesmaximal, characteristic, complemented
12#22622071C211yesmaximal, characteristic, complemented
13#22622019C211yesmaximal, characteristic, complemented
14#22621974C211yesmaximal, characteristic, complemented
15#22621891C211yesmaximal, characteristic, complemented
16#22621780C211yesmaximal, characteristic, complemented
17#22621758C211yesmaximal, characteristic, complemented
18#22621399C211yesmaximal, characteristic, complemented
19#22621340C211yesmaximal, characteristic, complemented
20#22621281C211yesmaximal, characteristic, complemented
21#22621222C211yesmaximal, characteristic, complemented
22#22621179C211yesmaximal, characteristic, complemented
23#22621157C211yesmaximal, characteristic, complemented
24#22620206C211yesmaximal, characteristic, complemented
25#22620121C211yesmaximal, characteristic, complemented
26#22620073C211yesmaximal, characteristic, complemented
27#22619796C211yesmaximal, characteristic, complemented
28#22619759C211yesmaximal, characteristic, complemented
29#476×D73C211yesmaximal, characteristic, complemented
30#22619069C211yesmaximal, characteristic, complemented
31C73×#3371C211yesmaximal, characteristic, complemented
32#17989341—21no—
33#17989341—21no—
34#17989310C2211yescharacteristic, complemented
35#17989297C2211yescharacteristic
36#17989297C2211yescharacteristic
37#17989297C2211yescharacteristic, complemented
38#17989290C2211yescharacteristic
39#17989290C2211yescharacteristic, complemented
40#17989287C2211yescharacteristic
41#17989282—21no—
42#17989278C2211yescharacteristic
43#17989267—21no—
44#17989266—21no—
45Q8×D292C2211yescharacteristic, complemented
46#17989252—21no—
47#17989249—21no—
48#17989242C2211yescharacteristic
49#17989240C2211yescharacteristic, complemented
50#17989230C2211yescharacteristic
51#17989230C2211yescharacteristic
52#17989229—21no—
53#17989222C2211yescharacteristic
54#17989217C2211yescharacteristic, complemented
55#17989217C2211yescharacteristic, complemented
56#17989209C2211yescharacteristic, complemented
57#17989209C2211yescharacteristic, complemented
58#17989206C2211yescharacteristic
59#17989195—21no—
60#17989191C2211yescharacteristic
61#17989185—21no—
62#17989185—21no—
63#17989180—21no—
64#17989171—21no—
65#17989162—21no—
66C4⋊Q8×D73C2211yescharacteristic, complemented
67#17989124C2211yescharacteristic
68#17989124C2211yescharacteristic, complemented
69#17989116C2211yescharacteristic
70#17989096—21no—
71#123×D73—21no—
72#17989069C2211yescharacteristic
73#17989059C2211yescharacteristic
74C4×D4×D73C2211yescharacteristic
75#17988997C2211yescharacteristic, complemented
76#17988996C2211yescharacteristic, complemented
77#17988996C2211yescharacteristic, complemented
78#17988993C2211yescharacteristic, complemented
79#17988986C2211yescharacteristic, complemented
80#17988985C2211yescharacteristic, complemented
81#17988946C2211yescharacteristic, complemented
82#17988946C2211yescharacteristic, complemented
83#17988933C2211yescharacteristic
84#17988927C2211yescharacteristic, complemented
85#17988926C2211yescharacteristic, complemented
86#17988921C2211yescharacteristic, complemented
87#17988921C2211yescharacteristic, complemented
88#17988916C2211yescharacteristic, complemented
89#17988916C2211yescharacteristic, complemented
90#17988916C2211yescharacteristic, complemented
91#17988913C2211yescharacteristic, complemented
92#17988910C2211yescharacteristic
93#17988910C2211yescharacteristic, complemented
94#17988909C2211yescharacteristic, complemented
95#17988907C2211yescharacteristic, complemented
96#17988904C2211yescharacteristic
97#17988904C2211yescharacteristic
98#17988904C2211yescharacteristic
99#17988904C2211yescharacteristic, complemented
100#17988902C2211yescharacteristic, complemented
101#17988899C2211yescharacteristic, complemented
102#17988894C2211yescharacteristic, complemented
103#17988894C2211yescharacteristic, complemented
104#17988892C2211yescharacteristic, complemented
105#17988890C2211yescharacteristic
106#17988889C2211yescharacteristic, complemented
107#17988888C2211yescharacteristic, complemented
108#17988888C2211yescharacteristic, complemented
109#17988885C2211yescharacteristic, complemented
110#17988884C2211yescharacteristic
111#17988884C2211yescharacteristic
112#17988878C2211yescharacteristic
113#17988878C2211yescharacteristic
114#17988878C2211yescharacteristic, complemented
115#17988877C2211yescharacteristic, complemented
116#17988877C2211yescharacteristic, complemented
117#17988876C2211yescharacteristic
118#17988876C2211yescharacteristic
119#17988875C2211yescharacteristic, complemented
120#17988875C2211yescharacteristic, complemented
121#17988874C2211yescharacteristic
122#17988872C2211yescharacteristic, complemented
123#17988872C2211yescharacteristic, complemented
124#17988870C2211yescharacteristic, complemented
125#17988870C2211yescharacteristic, complemented
126#17988868C2211yescharacteristic
127#17988865C2211yescharacteristic, complemented
128#17988865C2211yescharacteristic, complemented
129#17988842C2211yescharacteristic, complemented
130#17988839C2211yescharacteristic
131#17988839C2211yescharacteristic, complemented
132#17988830C2211yescharacteristic, complemented
133#17988825C2211yescharacteristic, complemented
134#17988822C2211yescharacteristic
135#17988822C2211yescharacteristic, complemented
136#17988819C2211yescharacteristic, complemented
137#17988819C2211yescharacteristic, complemented
138#17988813C2211yescharacteristic
139#17988813C2211yescharacteristic
140#17988813C2211yescharacteristic, complemented
141#17988811C2211yescharacteristic, complemented
142#17988805C2211yescharacteristic
143#17988804C2211yescharacteristic, complemented
144#17988804C2211yescharacteristic, complemented
145#17988799C2211yescharacteristic, complemented
146#17988799C2211yescharacteristic, complemented
147#17988779C2211yescharacteristic
148#17988748C2211yescharacteristic
149#17988736C2211yescharacteristic
150#17988736C2211yescharacteristic
151#17988735C2211yescharacteristic
152#17988722C2211yescharacteristic
153#17988722C2211yescharacteristic
154#17988718C2211yescharacteristic, complemented
155#17988700C2211yescharacteristic
156#17988700C2211yescharacteristic
157#17988697C2211yescharacteristic, complemented
158#17988697C2211yescharacteristic, complemented
159#17988685C2211yescharacteristic
160#17988685C2211yescharacteristic
161C4×#11924015C2211yescharacteristic
162C4×#11924015C2211yescharacteristic, complemented
163C4×D584C2211yescharacteristic
164#17988660C2211yescharacteristic
165#17988660C2211yescharacteristic, complemented
166#17988657C2211yescharacteristic, complemented
167#17988657C2211yescharacteristic, complemented
168C8×D292C2211yescharacteristic, complemented
169#17988652C2211yescharacteristic
170#17988649C2211yescharacteristic, complemented
171#17988646C2211yescharacteristic, complemented
172#17988642C2211yescharacteristic, complemented
173#17988628C2211yescharacteristic, complemented
174#17988626C2211yescharacteristic, complemented
175#17988624C2211yescharacteristic, complemented
176#106×D73C2211yescharacteristic, complemented
177#106×D73C2211yescharacteristic, complemented
178#106×D73C2211yescharacteristic, complemented
179#17988612C2211yescharacteristic, complemented
180#17988612C2211yescharacteristic, complemented
181C4⋊C8×D73C2211yescharacteristic, complemented
182#17988590C2211yescharacteristic
183#17988587C2211yescharacteristic
184#17988582C2211yescharacteristic
185#102×D73C2211yescharacteristic
186#102×D73C2211yescharacteristic
187#102×D73C2211yescharacteristic
188#559×C73C2211yescharacteristic
189#557×C73C2211yescharacteristic, complemented
190#490×C73C2211yescharacteristic
191#489×C73C2211yescharacteristic, complemented
192#488×C73C2211yescharacteristic, complemented
193#479×C73C2211yescharacteristic, complemented
194#478×C73C2211yescharacteristic, complemented
195#476×C73C2211yescharacteristic, complemented
196#464×C73C2211yescharacteristic, complemented
197#464×C73C2211yescharacteristic, complemented
198#460×C73C2211yescharacteristic
199#446×C73C2211yescharacteristic, complemented
200#441×C73C2211yescharacteristic, complemented
201#440×C73C2211yescharacteristic, complemented
202C4×SD16×C73C2211yescharacteristic, complemented
203C2×#11924029—21no—
204C2×#11924029C2311yescharacteristic
205C2×#11924028—21no—
206C2×Q8×D73—21no—
207C2×Q8×D73—21no—
208C2×D4×D73—21no—
209C2×D4×D73C2311yescharacteristic
210C2×D4×D73C2311yescharacteristic
211C22×C4×D73—21no—
212C2×#11924015C2311yescharacteristic
213C2×#11924015C2311yescharacteristic
214C2×D584C2311yescharacteristic
215C2×#11924013C2311yescharacteristic
216C2×#11924013C2311yescharacteristic
217C2×#11924011C2311yescharacteristic
218C2×#11924011C2311yescharacteristic
219C2×C8×D73C2311yescharacteristic
220C2×C8×D73C2311yescharacteristic
221C2×C8×D73C2311yescharacteristic
222C2×C8×D73C2311yescharacteristic
223#14556591C2311yescharacteristic
224#14556591C2311yescharacteristic
225#14556591C2311yescharacteristic
226#14556591C2311yescharacteristic
227#14556590—21no—
228#14556590—21no—
229#14556590—21no—
230#14556590C2311yescharacteristic
231#14556590C2311yescharacteristic
232#14556589—21no—
233#14556586—21no—
234#14556586—21no—
235#14556586—21no—
236#14556586—21no—
237#14556586—21no—
238#14556586D411yescharacteristic
239#14556586D411yescharacteristic
240#14556585—21no—
241#14556585—21no—
242#14556585—21no—
243#14556584—21no—
244#14556584—21no—
245#14556584—21no—
246#14556583—21no—
247#14556583—21no—
248#14556583C2311yescharacteristic
249#14556583C2311yescharacteristic
250#14556582D411yescharacteristic
251#14556582C2311yescharacteristic
252#14556581—21no—
253#14556581—21no—
254#14556581—21no—
255#14556580D411yescharacteristic
256#14556580C2311yescharacteristic
257#14556579—21no—
258#14556579—21no—
259#14556579—21no—
260#14556577—21no—
261#14556576—21no—
262#14556576—21no—
263#14556576—21no—
264#14556576—21no—
265#14556576—21no—
266#14556576—21no—
267#14556576—21no—
268#14556576—21no—
269#14556576D411yescharacteristic
270#14556576D411yescharacteristic
271#14556575—21no—
272#14556574—21no—
273#14556573—21no—
274#14556573—21no—
275#14556573—21no—
276#14556573—21no—
277#14556573—21no—
278#14556572—21no—
279#14556572—21no—
280#14556571—21no—
281#14556571—21no—
282#14556571—21no—
283#14556571—21no—
284#14556571—21no—
285#14556570—21no—
286#14556569—21no—
287#14556569—21no—
288#14556569—21no—
289#14556569—21no—
290#14556569—21no—
291#14556569—21no—
292#14556569—21no—
293#14556569—21no—
294#14556569—21no—
295#14556569—21no—
296#14556568—21no—
297#14556567—21no—
298#14556567—21no—
299#14556567D411yescharacteristic
300#14556567C2311yescharacteristic
301#14556567C2311yescharacteristic
302#14556567C2311yescharacteristic
303#14556567C2311yescharacteristic
304#14556567C2311yescharacteristic
305#14556566—21no—
306#14556566—21no—
307#14556566D411yescharacteristic
308#14556566C2311yescharacteristic
309#14556566C2311yescharacteristic
310#14556566C2311yescharacteristic
311#14556564—21no—
312#14556564—21no—
313#14556564—21no—
314#14556563—21no—
315#14556563—21no—
316#14556562—21no—
317#14556562C2311yescharacteristic
318#14556562C2311yescharacteristic
319#14556562C2311yescharacteristic
320#14556562C2311yescharacteristic
321#14556561—21no—
322#14556561—21no—
323#14556559—21no—
324#14556559—21no—
325Q8×Dic73C2311yescharacteristic
326C4×Dic146—21no—
327C4×D292—21no—
328C4×D292—21no—
329C4×D292—21no—
330C4×D292—21no—
331C4×D292C2311yescharacteristic
332C4×D292C2311yescharacteristic
333C4×D292C2311yescharacteristic
334C4×D292C2311yescharacteristic
335C4×D292C2311yescharacteristic
336C4×D292C2311yescharacteristic
337C4×D292C2311yescharacteristic
338C4×D292C2311yescharacteristic
339C4×D292C2311yescharacteristic
340D4×Dic73C2311yescharacteristic
341D4×Dic73C2311yescharacteristic
342#14556553—21no—
343#14556553—21no—
344#14556553—21no—
345#14556553C2311yescharacteristic
346C4×C22⋊D73—21no—
347C4×C22⋊D73—21no—
348C4×C22⋊D73—21no—
349#14556551—21no—
350#14556551—21no—
351#14556551—21no—
352#14556549C2311yescharacteristic
353#14556549C2311yescharacteristic
354#14556549C2311yescharacteristic
355#14556548—21no—
356#14556548—21no—
357#14556548—21no—
358#14556548C2311yescharacteristic
359#14556548C2311yescharacteristic
360#14556547—21no—
361C4⋊C4×D73—21no—
362C4⋊C4×D73—21no—
363C4⋊C4×D73—21no—
364C4⋊C4×D73C2311yescharacteristic
365C4⋊C4×D73C2311yescharacteristic
366C4⋊C4×D73C2311yescharacteristic
367C4⋊C4×D73C2311yescharacteristic
368C4⋊C4×D73C2311yescharacteristic
369C4⋊C4×D73C2311yescharacteristic
370C2×#11924005—21no—
371C22⋊C4×D73—21no—
372C22⋊C4×D73—21no—
373C22⋊C4×D73—21no—
374C22⋊C4×D73—21no—
375C42×D73C2311yescharacteristic
376#14556525C2311yescharacteristic
377#14556525C2311yescharacteristic
378#14556525C2311yescharacteristic
379#14556524C2311yescharacteristic
380#14556524C2311yescharacteristic
381#14556524C2311yescharacteristic
382#14556524C2311yescharacteristic
383#14556523C2311yescharacteristic
384#14556523C2311yescharacteristic
385#14556523C2311yescharacteristic
386#14556523C2311yescharacteristic
387#14556523C2311yescharacteristic
388#14556523C2311yescharacteristic
389#14556522C2311yescharacteristic
390#14556522C2311yescharacteristic
391#14556522C2311yescharacteristic
392#14556522C2311yescharacteristic
393#14556522C2311yescharacteristic
394#14556522C2311yescharacteristic
395#14556522C2311yescharacteristic
396#14556522C2311yescharacteristic
397C4⋊#10596831C2311yescharacteristic
398C4⋊#10596831C2311yescharacteristic
399C4⋊#10596831C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556515C2311yescharacteristic
405#14556515C2311yescharacteristic
406#14556515C2311yescharacteristic
407#14556515C2311yescharacteristic
408#14556515C2311yescharacteristic
409#14556515C2311yescharacteristic
410#14556513C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556512C2311yescharacteristic
417#14556512C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556511C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556511C2311yescharacteristic
426#14556503C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556503C2311yescharacteristic
430#14556503C2311yescharacteristic
431#14556503C2311yescharacteristic
432#14556502C2311yescharacteristic
433#14556502C2311yescharacteristic
434C4×#10596831C2311yescharacteristic
435C2×Q16×C73C2311yescharacteristic
436C2×SD16×C73C2311yescharacteristic
437C2×SD16×C73C2311yescharacteristic
438C4⋊Q8×C73—21no—
439C4⋊Q8×C73C2311yescharacteristic
440#127×C73C2311yescharacteristic
441#125×C73—21no—
442#125×C73—21no—
443#125×C73C2311yescharacteristic
444#125×C73C2311yescharacteristic
445#124×C73—21no—
446#124×C73C2311yescharacteristic
447#124×C73C2311yescharacteristic
448#123×C73—21no—
449#123×C73—21no—
450C4×Q8×C73—21no—
451C4×Q8×C73C2311yescharacteristic
452C4×Q8×C73C2311yescharacteristic
453C4×Q8×C73C2311yescharacteristic
454C4×Q8×C73C2311yescharacteristic
455C4×Q8×C73C2311yescharacteristic
456C4×D4×C73—21no—
457C4×D4×C73C2311yescharacteristic
458C4×D4×C73C2311yescharacteristic
459#107×C73C2311yescharacteristic
460#106×C73C2311yescharacteristic
461#106×C73C2311yescharacteristic
462C4⋊C8×C73C2311yescharacteristic
463C4⋊C8×C73C2311yescharacteristic
464C4⋊C8×C73C2311yescharacteristic
465#103×C73C2311yescharacteristic
466#103×C73C2311yescharacteristic
467#103×C73C2311yescharacteristic
468#103×C73C2311yescharacteristic
469#102×C73C2311yescharacteristic
470#102×C73C2311yescharacteristic
471#102×C73C2311yescharacteristic
472#102×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#97×C73C2311yescharacteristic
476#97×C73C2311yescharacteristic
477C4×C8×C73C2311yescharacteristic
478C23×D73—21no—
479C23×D73—21no—
480#11924029—22no—
481#11924029—41no—
482#11924029—82no—
483#11924028—82no—
484C2×Dic146—21no—
485C2×Dic146—21no—
486C2×Dic146—21no—
487C2×Dic146—21no—
488C2×Dic146—21no—
489C2×Dic146—21no—
490Q8×D73—82no—
491Q8×D73—82no—
492C2×D292—21no—
493C2×D292—21no—
494C2×D292—21no—
495C2×D292—21no—
496C2×D292C2×D411yescharacteristic
497C2×D292C2×D411yescharacteristic
498C2×D292C2×D411yescharacteristic
499C2×D292C2411yescharacteristic
500C2×D292C2411yescharacteristic
501C2×C22⋊D73—21no—
502C2×C22⋊D73—21no—
503C2×C22⋊D73—21no—
504C2×C22⋊D73—21no—
505C2×C22⋊D73—21no—
506C2×C22⋊D73—21no—
507D4×D73—22no—
508D4×D73—22no—
509D4×D73—41no—
510D4×D73—41no—
511D4×D73—82no—
512C22×Dic73—21no—
513C22×Dic73—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—21no—
522C2×C4×D73—21no—
523C2×C4×D73—21no—
524C2×C4×D73—21no—
525C2×C4×D73—21no—
526C2×C4×D73—21no—
527C2×C4×D73—21no—
528C2×C4×D73—82no—
529C2×C4×D73C2×D411yescharacteristic
530C2×C4×D73C2×D411yescharacteristic
531C2×C4×D73C2411yescharacteristic
532C2×C4×D73C2411yescharacteristic
533C2×C4×D73C2411yescharacteristic
534#11924015—22no—
535#11924015—41no—
536D584—22no—
537#11924013—41no—
538#11924013—41no—
539#11924011—41no—
540#11924011—41no—
541C2×#10596831C2411yescharacteristic
542C2×#10596831C2411yescharacteristic
543C2×#10596831C2411yescharacteristic
544C2×#10596831C2411yescharacteristic
545C8×D73—41no—
546C8×D73—41no—
547C8×D73—41no—
548C8×D73—41no—
549C4⋊Dic73—21no—
550C4⋊Dic73—21no—
551C4⋊Dic73—21no—
552C4⋊Dic73—21no—
553C4⋊Dic73—21no—
554C4⋊Dic73—21no—
555C4⋊Dic73C2×D411yescharacteristic
556C4⋊Dic73C2×D411yescharacteristic
557C4⋊Dic73C2×D411yescharacteristic
558C4⋊Dic73C2411yescharacteristic
559C4⋊Dic73C2411yescharacteristic
560C4⋊Dic73C2411yescharacteristic
561C4⋊Dic73C2411yescharacteristic
562C4⋊Dic73C2411yescharacteristic
563C4⋊Dic73C2411yescharacteristic
564#11924007—21no—
565#11924007—21no—
566#11924007—21no—
567#11924007—21no—
568#11924007—21no—
569#11924007—21no—
570#11924007—21no—
571#11924007—21no—
572#11924007—21no—
573#11924007—21no—
574#11924007—21no—
575#11924007—21no—
576#11924007—21no—
577#11924007—21no—
578#11924007—21no—
579#11924007—21no—
580#11924007—21no—
581#11924007—21no—
582#11924007C2×D411yescharacteristic
583#11924007C2×D411yescharacteristic
584#11924007C2×D411yescharacteristic
585#11924007C2×D411yescharacteristic
586C22⋊Dic73—21no—
587C22⋊Dic73—21no—
588C22⋊Dic73—21no—
589C22⋊Dic73—21no—
590C22⋊Dic73—21no—
591C22⋊Dic73—21no—
592#11924005—21no—
593#11924005—21no—
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#11924005C2×D411yescharacteristic
613#11924005C2×D411yescharacteristic
614#11924005C2×D411yescharacteristic
615#11924005C2×D411yescharacteristic
616#11924005C2×D411yescharacteristic
617#11924005C2×D411yescharacteristic
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×Dic73C2×D411yescharacteristic
627C4×Dic73C2×D411yescharacteristic
628C4×Dic73C2411yescharacteristic
629C2×Q8×C73—21no—
630C2×Q8×C73C2×D411yescharacteristic
631C2×Q8×C73C2411yescharacteristic
632C2×Q8×C73C2411yescharacteristic
633C2×D4×C73—21no—
634C2×D4×C73—21no—
635C2×D4×C73C2411yescharacteristic
636C2×D4×C73C2411yescharacteristic
637C22×C4×C73—21no—
638C22×C4×C73—21no—
639Q16×C73—41no—
640SD16×C73—41no—
641SD16×C73—41no—
642C2×C8×C73C2411yescharacteristic
643C2×C8×C73C2411yescharacteristic
644C2×C8×C73C2411yescharacteristic
645C2×C8×C73C2411yescharacteristic
646C4⋊C4×C73—21no—
647C4⋊C4×C73—21no—
648C4⋊C4×C73—21no—
649C4⋊C4×C73—21no—
650C4⋊C4×C73—21no—
651C4⋊C4×C73—21no—
652C4⋊C4×C73—21no—
653C4⋊C4×C73—21no—
654C4⋊C4×C73—21no—
655C4⋊C4×C73C2×D411yescharacteristic
656C4⋊C4×C73C2×D411yescharacteristic
657C4⋊C4×C73C2×D411yescharacteristic
658C4⋊C4×C73C2411yescharacteristic
659C4⋊C4×C73C2411yescharacteristic
660C4⋊C4×C73C2411yescharacteristic
661C4⋊C4×C73C2411yescharacteristic
662C22⋊C4×C73—21no—
663C22⋊C4×C73—21no—
664C22⋊C4×C73—21no—
665C22⋊C4×C73—21no—
666C22⋊C4×C73—21no—
667C22⋊C4×C73—21no—
668C42×C73—21no—
669C42×C73—21no—
670C42×C73—21no—
671C42×C73—21no—
672C42×C73C2411yescharacteristic
673C42×C73C2411yescharacteristic
674C42×C73C2411yescharacteristic
675C23×C73—21no—
676C23×C73—21no—
677C22×D73—21no—
678C22×D73—21no—
679C22×D73—42no—
680C22×D73—42no—
681C22×D73—42no—
682C22×D73—81no—
683C22×D73—81no—
684C22×D73—81no—
685C22×D73C22×D411yescharacteristic
686C22×D73C22×D411yescharacteristic
687C22×D73C22×D411yescharacteristic
688Q8×C73—21no—
689Q8×C73—21no—
690Q8×C73—21no—
691Q8×C73—21no—
692Q8×C73—41no—
693Q8×C73—42no—
694D4×C73—21no—
695D4×C73—21no—
696D4×C73—21no—
697D4×C73—21no—
698D4×C73—81no—
699D4×C73—81no—
700C2×C4×C73—21no—
701C2×C4×C73—21no—
702C2×C4×C73—21no—
703C2×C4×C73—21no—
704C2×C4×C73—21no—
705C2×C4×C73—21no—
706C2×C4×C73—81no—
707C2×C4×C73—81no—
708C2×C4×C73C22×D411yescharacteristic
709C2×C4×C73C22×D411yescharacteristic
710C2×C4×C73C22×D411yescharacteristic
711C2×C4×C73C22×D411yescharacteristic
712C2×C4×C73C22×D411yescharacteristic
713C2×C4×C73C22×D411yescharacteristic
714C2×C4×C73C2511yescharacteristic
715C22⋊D73—42no—
716C22⋊D73—42no—
717C22⋊D73—42no—
718C22⋊D73—81no—
719C22⋊D73—81no—
720C22⋊D73—81no—
721C2×Dic73—21no—
722C2×Dic73—21no—
723C2×Dic73—21no—
724C2×Dic73—21no—
725C2×Dic73—21no—
726C2×Dic73—21no—
727C2×Dic73—81no—
728C2×Dic73—81no—
729C2×Dic73C22×D411yescharacteristic
730C2×Dic73C22×D411yescharacteristic
731C2×Dic73C22×D411yescharacteristic
732C2×Dic73C22×D411yescharacteristic
733C2×Dic73C22×D411yescharacteristic
734D292—22no—
735D292—22no—
736D292—21no—
737D292—21no—
738D292—21no—
739D292—41no—
740D292—42no—
741D292—42no—
742D292—81no—
743D292—81no—
744D2922−1+412yes—
745C4×D73—22no—
746C4×D73—21no—
747C4×D73—21no—
748C4×D73—21no—
749C4×D73—21no—
750C4×D73—21no—
751C4×D73—21no—
752C4×D73—41no—
753C4×D73—42no—
754C4×D73—42no—
755C4×D73—42no—
756C4×D73—81no—
757C4×D73—81no—
758C4×D73—81no—
759C4×D73—81no—
760C4×D73—81no—
761C4×D73—81no—
762C4×D73—81no—
763C4×D73—81no—
764C4×D73—81no—
765C4×D73—81no—
766C4×D73—81no—
767Dic146—42no—
768Dic146—81no—
769Dic146—81no—
770Dic146—81no—
771Dic146—81no—
772Dic146—81no—
773C8×C73—21no—
774C8×C73—21no—
775C8×C73—21no—
776C8×C73—21no—
777#10596831—21no—
778#10596831—21no—
779#10596831—21no—
780#10596831—21no—
781C22×C73—41no—
782C22×C73—41no—
783C22×C73—41no—
784C22×C73—41no—
785C22×C73—41no—
786C22×C73—41no—
787C22×C73C23×D411yescharacteristic
788C2×D73—21no—
789C2×D73—21no—
790C2×D73—21no—
791C2×D73—21no—
792C2×D73—21no—
793C2×D73—21no—
794C2×D73—22no—
795C2×D73—21no—
796C2×D73—21no—
797C2×D73—41no—
798C2×D73—41no—
799C2×D73—41no—
800C2×D73—41no—
801C2×D73—41no—
802C2×D73—84no—
803C2×D73—162no—
804C2×D73#57712yes—
805C4×C73—21no—
806C4×C73—21no—
807C4×C73—21no—
808C4×C73—21no—
809C4×C73—21no—
810C4×C73—21no—
811C4×C73—41no—
812C4×C73—41no—
813C4×C73—41no—
814C4×C73—41no—
815C4×C73—41no—
816C4×C73—41no—
817C4×C73C2×2−1+411yescharacteristic
818C4×C73#58511yescharacteristic
819Dic73—21no—
820Dic73—21no—
821Dic73—21no—
822Dic73—21no—
823Dic73—21no—
824Dic73—41no—
825Dic73—41no—
826Dic73—41no—
827Dic73—41no—
828Dic73—41no—
829Dic73—41no—
830#62156—731nomaximal, Sylow
831C2×C73—81no—
832C2×C73—81no—
833C2×C73#348911yescharacteristic
834C2×C73C2×#57711yescharacteristic
835C2×C73#358511yescharacteristic
836D73—22no—
837D73—41no—
838D73—41no—
839D73—42no—
840D73—81no—
841#3552—731no—
842#3513—731no—
843#3388—731no—
844#3384—731no—
845#3373—731no—
846#3371D7311yescharacteristic, complemented
847#3350—731no—
848#3345—731no—
849#3345—731no—
850#3344—731no—
851#3337—731no—
852#3335—731no—
853#3318—731no—
854#3314—731no—
855#3311—731no—
856#3306—731no—
857#3297—731no—
858#3295—731no—
859#3263—731no—
860#3257—731no—
861#3250—731no—
862#3244—731no—
863#3241—731no—
864#3239—731no—
865#3125—731no—
866#3118—731no—
867#3114—731no—
868#3084—731no—
869#3081—731no—
870C2×#476—731no—
871#2992—731no—
872C73#6215611yescharacteristic, complemented, Sylow
873#563—1461no—
874#563—1461no—
875#559C2×D7311yescharacteristic
876#557C2×D7311yescharacteristic, complemented
877#556—731no—
878#554—731no—
879#554—731no—
880#554—731no—
881#553—731no—
882#553—731no—
883#553—731no—
884#553—1461no—
885#552—731no—
886#551—1461no—
887#551—1461no—
888D4×Q8—731no—
889D4×Q8—1461no—
890#548—1461no—
891#547—731no—
892#547—731no—
893#546—731no—
894#546—731no—
895#546—1461no—
896D42—731no—
897#544—731no—
898#544—731no—
899#542—731no—
900#542—731no—
901#542—731no—
902#541—1461no—
903#540—731no—
904#539—1461no—
905#539—1461no—
906#539—1461no—
907#538—1461no—
908#536—1461no—
909C2×C4⋊Q8—731no—
910#529—731no—
911#529—731no—
912#529—731no—
913#525—1461no—
914C2×#123—1461no—
915#520—731no—
916#518—731no—
917C2×C4×D4—731no—
918#501—731no—
919#501—731no—
920#501—731no—
921#501—731no—
922#499—731no—
923#498—731no—
924#490C2×D7311yescharacteristic
925#489—731no—
926#489—731no—
927#489C2×D7311yescharacteristic, complemented
928#488C2×D7311yescharacteristic, complemented
929#486—731no—
930#485—731no—
931#485—731no—
932#484—731no—
933#484—731no—
934#483—731no—
935#483—731no—
936#483—731no—
937#482—731no—
938#482—731no—
939#482—731no—
940#482—731no—
941#481—731no—
942#481—731no—
943#481—731no—
944#481—731no—
945#481—731no—
946#480—731no—
947#480—731no—
948#479—731no—
949#479—731no—
950#479—731no—
951#479C2×D7311yescharacteristic, complemented
952#478—731no—
953#478—731no—
954#478—731no—
955#478—731no—
956#478—731no—
957#478—731no—
958#478—731no—
959#478C2×D7311yescharacteristic, complemented
960#476—731no—
961#476—731no—
962#476—731no—
963#476—731no—
964#476—731no—
965#476—731no—
966#476—731no—
967#476—731no—
968#476—731no—
969#476—731no—
970#476C2×D7311yescharacteristic, complemented
971#475—731no—
972#475—731no—
973#475—731no—
974#475—731no—
975#474—731no—
976#474—731no—
977#474—731no—
978#470—731no—
979#469—731no—
980#469—731no—
981#468—731no—
982#467—731no—
983#466—731no—
984#466—731no—
985#465—731no—
986#465—731no—
987#465—731no—
988#465—731no—
989#465—731no—
990#464—731no—
991#464C2×D7311yescharacteristic, complemented
992#464C2×D7311yescharacteristic, complemented
993#463—731no—
994#463—731no—
995#463—731no—
996#463—731no—
997#463—731no—
998#460C2×D7311yescharacteristic
999#459—731no—
1000#452—731no—
1001#450—731no—
1002#450—731no—
1003#449—731no—
1004#447—731no—
1005#447—731no—
1006#446—731no—
1007#446C2×D7311yescharacteristic, complemented
1008#442—731no—
1009#442—731no—
1010#442—731no—
1011#442—731no—
1012#441C2×D7311yescharacteristic, complemented
1013#440—731no—
1014#440—731no—
1015#440C2×D7311yescharacteristic, complemented
1016C4×SD16—731no—
1017C4×SD16—731no—
1018C4×SD16C2×D7311yescharacteristic, complemented
1019C4×D8—731no—
1020#435—731no—
1021#435—731no—
1022#435—731no—
1023#435—731no—
1024C8×D4—731no—
1025C8×D4—731no—
1026#433—731no—
1027#433—731no—
1028#432—731no—
1029#428—731no—
1030#428—731no—
1031#427—731no—
1032C2×#106—731no—
1033C2×#106—731no—
1034C2×#106—731no—
1035#424—731no—
1036#424—731no—
1037C2×C4⋊C8—731no—
1038#418—731no—
1039#417—731no—
1040#416—731no—
1041C2×#102—731no—
1042C2×#102—731no—
1043C2×#102—731no—
1044C2×#41—731no—
1045C2×#41—1461no—
1046C2×#41—1461no—
1047C22×Q8—1461no—
1048C22×Q8—1461no—
1049C22×D4—731no—
1050C22×D4—731no—
1051C22×D4—1461no—
1052C23×C4—1461no—
1053C2×Q16C22×D7311yescharacteristic
1054C2×SD16—731no—
1055C2×SD16—731no—
1056C2×SD16C22×D7311yescharacteristic
1057C2×SD16C22×D7311yescharacteristic
1058C2×D8—731no—
1059C2×D8—731no—
1060C2×D8—731no—
1061C2×M16—731no—
1062C2×M16—731no—
1063C22×C8—731no—
1064C22×C8—731no—
1065C22×C8—731no—
1066C22×C8—731no—
1067C4⋊Q8—21no—
1068C4⋊Q8—731no—
1069C4⋊Q8—731no—
1070C4⋊Q8—731no—
1071C4⋊Q8—731no—
1072C4⋊Q8—731no—
1073C4⋊Q8—731no—
1074C4⋊Q8—1461no—
1075C4⋊Q8—1461no—
1076C4⋊Q8—1461no—
1077C4⋊Q8—1461no—
1078C4⋊Q8C22×D7311yescharacteristic
1079#127C22×D7311yescharacteristic
1080#126—731no—
1081#126—731no—
1082#126—1461no—
1083#126—1461no—
1084#126—1461no—
1085#126—1461no—
1086#126—1461no—
1087#126—1461no—
1088#126—1461no—
1089#126—1461no—
1090#126—1461no—
1091#126—1461no—
1092#126—1461no—
1093#125—21no—
1094#125—21no—
1095#125—731no—
1096#125—731no—
1097#125—731no—
1098#125—731no—
1099#125—1461no—
1100#125—1461no—
1101#125—1461no—
1102#125—1461no—
1103#125—1461no—
1104#125C22×D7311yescharacteristic
1105#125C22×D7311yescharacteristic
1106#124—21no—
1107#124—731no—
1108#124—731no—
1109#124—1461no—
1110#124—1461no—
1111#124—1461no—
1112#124—1461no—
1113#124C22×D7311yescharacteristic
1114#124C22×D7311yescharacteristic
1115#123—21no—
1116#123—21no—
1117#123—731no—
1118#123—731no—
1119#123—1461no—
1120#123—1461no—
1121#123—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—1461no—
1143C22⋊Q8—1461no—
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—
1156C22⋊Q8—1461no—
1157C22⋊Q8—1461no—
1158C22⋊Q8—1461no—
1159C22⋊Q8—1461no—
1160C22⋊Q8—1461no—
1161#121—731no—
1162#121—731no—
1163#121—731no—
1164#121—731no—
1165#121—731no—
1166#121—731no—
1167#121—731no—
1168#121—731no—
1169#121—1461no—
1170#121—1461no—
1171#121—1461no—
1172#121—1461no—
1173#121—1461no—
1174#121—1461no—
1175#121—1461no—
1176#121—1461no—
1177#120—1461no—
1178#120—1461no—
1179#120—1461no—
1180#120—1461no—
1181C4×Q8—21no—
1182C4×Q8—731no—
1183C4×Q8—1461no—
1184C4×Q8C22×D7311yescharacteristic
1185C4×Q8C22×D7311yescharacteristic
1186C4×Q8C22×D7311yescharacteristic
1187C4×Q8C22×D7311yescharacteristic
1188C4×Q8C22×D7311yescharacteristic
1189C4×D4—21no—
1190C4×D4—731no—
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—1461no—
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×D4C22×D7311yescharacteristic
1216C4×D4C22×D7311yescharacteristic
1217#117—731no—
1218#117—731no—
1219#117—731no—
1220#117—731no—
1221#117—731no—
1222#117—1461no—
1223#117—1461no—
1224#117—1461no—
1225#117—1461no—
1226C2×C4⋊C4—731no—
1227C2×C4⋊C4—731no—
1228C2×C4⋊C4—731no—
1229C2×C4⋊C4—731no—
1230C2×C4⋊C4—731no—
1231C2×C4⋊C4—731no—
1232C2×C4⋊C4—1461no—
1233C2×C4⋊C4—1461no—
1234C2×C4⋊C4—1461no—
1235C2×C22⋊C4—1461no—
1236C2×C22⋊C4—1461no—
1237C2×C22⋊C4—1461no—
1238C2×C22⋊C4—1461no—
1239C2×C22⋊C4—1461no—
1240C2×C42—731no—
1241#107—731no—
1242#107—731no—
1243#107—731no—
1244#107—731no—
1245#107—731no—
1246#107—731no—
1247#107—731no—
1248#107C22×D7311yescharacteristic
1249#106—731no—
1250#106—731no—
1251#106—731no—
1252#106—731no—
1253#106—731no—
1254#106—731no—
1255#106—731no—
1256#106—731no—
1257#106—731no—
1258#106—731no—
1259#106—731no—
1260#106—731no—
1261#106—731no—
1262#106—731no—
1263#106C22×D7311yescharacteristic
1264#106C22×D7311yescharacteristic
1265C4⋊C8—731no—
1266C4⋊C8—731no—
1267C4⋊C8—731no—
1268C4⋊C8—731no—
1269C4⋊C8—731no—
1270C4⋊C8—731no—
1271C4⋊C8—731no—
1272C4⋊C8C22×D7311yescharacteristic
1273C4⋊C8C22×D7311yescharacteristic
1274C4⋊C8C22×D7311yescharacteristic
1275#103—731no—
1276#103—731no—
1277#103—731no—
1278#103—731no—
1279#103—731no—
1280#103—731no—
1281#103C22×D7311yescharacteristic
1282#103C22×D7311yescharacteristic
1283#103C22×D7311yescharacteristic
1284#103C22×D7311yescharacteristic
1285#102—731no—
1286#102—731no—
1287#102—731no—
1288#102—731no—
1289#102—731no—
1290#102—731no—
1291#102—731no—
1292#102—731no—
1293#102—731no—
1294#102—731no—
1295#102—731no—
1296#102—731no—
1297#102—731no—
1298#102—731no—
1299#102—731no—
1300#102—731no—
1301#102C22×D7311yescharacteristic
1302#102C22×D7311yescharacteristic
1303#102C22×D7311yescharacteristic
1304#102C22×D7311yescharacteristic
1305#102C22×D7311yescharacteristic
1306#102C22×D7311yescharacteristic
1307C22⋊C8—731no—
1308C22⋊C8—731no—
1309C22⋊C8—731no—
1310C22⋊C8—731no—
1311C22⋊C8—731no—
1312C22⋊C8—731no—
1313#97—731no—
1314#97—731no—
1315#97C22×D7311yescharacteristic
1316#97C22×D7311yescharacteristic
1317C4×C8—731no—
1318C4×C8C22×D7311yescharacteristic
1319C24—1461no—
1320C24—1461no—
1321#41—2921no—
1322#41—5842no—
1323#41—5842no—
1324#41—1462no—
1325C2×Q8—21no—
1326C2×Q8—5842no—
1327C2×Q8—5842no—
1328C2×Q8—1461no—
1329C2×Q8—1461no—
1330C2×Q8—1461no—
1331C2×Q8—1461no—
1332C2×Q8—1461no—
1333C2×Q8—1461no—
1334C2×Q8D4×D7311yescharacteristic
1335C2×Q8C23×D7311yescharacteristic
1336C2×Q8C23×D7311yescharacteristic
1337C2×D4—21no—
1338C2×D4—21no—
1339C2×D4—2921no—
1340C2×D4—2921no—
1341C2×D4—5842no—
1342C2×D4—731no—
1343C2×D4—731no—
1344C2×D4—731no—
1345C2×D4—731no—
1346C2×D4—731no—
1347C2×D4—1461no—
1348C2×D4—1461no—
1349C2×D4—1461no—
1350C2×D4—1461no—
1351C2×D4—1461no—
1352C2×D4—1461no—
1353C2×D4—1462no—
1354C2×D4—1462no—
1355C2×D4—1461no—
1356C2×D4—1461no—
1357C2×D4—1461no—
1358C2×D4—1461no—
1359C2×D4C23×D7311yescharacteristic
1360C2×D4C23×D7311yescharacteristic
1361C22×C4—21no—
1362C22×C4—21no—
1363C22×C4—5842no—
1364C22×C4—731no—
1365C22×C4—731no—
1366C22×C4—731no—
1367C22×C4—731no—
1368C22×C4—731no—
1369C22×C4—1461no—
1370C22×C4—1461no—
1371C22×C4—1461no—
1372C22×C4—1461no—
1373C22×C4—1461no—
1374C22×C4—1461no—
1375C22×C4—1461no—
1376C22×C4—1461no—
1377C22×C4—1461no—
1378C22×C4—1461no—
1379C22×C4—1461no—
1380C22×C4—1461no—
1381C22×C4—1461no—
1382C22×C4—1461no—
1383C22×C4—1461no—
1384C22×C4—1461no—
1385Q16—41no—
1386SD16—41no—
1387SD16—41no—
1388SD16—2921no—
1389SD16—1462no—
1390D8—2921no—
1391D8—2921no—
1392D8—1462no—
1393M16—2921no—
1394M16—2921no—
1395C2×C8—2921no—
1396C2×C8—2921no—
1397C2×C8—2921no—
1398C2×C8—2921no—
1399C2×C8—731no—
1400C2×C8—731no—
1401C2×C8—731no—
1402C2×C8—731no—
1403C2×C8C23×D7311yescharacteristic
1404C2×C8C23×D7311yescharacteristic
1405C2×C8C23×D7311yescharacteristic
1406C2×C8C23×D7311yescharacteristic
1407C4⋊C4—21no—
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—21no—
1415C4⋊C4—21no—
1416C4⋊C4—731no—
1417C4⋊C4—731no—
1418C4⋊C4—731no—
1419C4⋊C4—731no—
1420C4⋊C4—731no—
1421C4⋊C4—731no—
1422C4⋊C4—731no—
1423C4⋊C4—731no—
1424C4⋊C4—731no—
1425C4⋊C4—731no—
1426C4⋊C4—731no—
1427C4⋊C4—731no—
1428C4⋊C4—731no—
1429C4⋊C4—1461no—
1430C4⋊C4—1461no—
1431C4⋊C4—1461no—
1432C4⋊C4—1461no—
1433C4⋊C4—1461no—
1434C4⋊C4—1461no—
1435C4⋊C4—1461no—
1436C4⋊C4—1461no—
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⋊C4D4×D7311yescharacteristic
1454C4⋊C4D4×D7311yescharacteristic
1455C4⋊C4D4×D7311yescharacteristic
1456C4⋊C4C23×D7311yescharacteristic
1457C4⋊C4C23×D7311yescharacteristic
1458C4⋊C4C23×D7311yescharacteristic
1459C4⋊C4C23×D7311yescharacteristic
1460C22⋊C4—21no—
1461C22⋊C4—21no—
1462C22⋊C4—21no—
1463C22⋊C4—21no—
1464C22⋊C4—21no—
1465C22⋊C4—21no—
1466C22⋊C4—731no—
1467C22⋊C4—731no—
1468C22⋊C4—731no—
1469C22⋊C4—731no—
1470C22⋊C4—731no—
1471C22⋊C4—731no—
1472C22⋊C4—731no—
1473C22⋊C4—731no—
1474C22⋊C4—731no—
1475C22⋊C4—731no—
1476C22⋊C4—1461no—
1477C22⋊C4—1461no—
1478C22⋊C4—1461no—
1479C22⋊C4—1461no—
1480C22⋊C4—1461no—
1481C22⋊C4—1461no—
1482C22⋊C4—1461no—
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—
1502C42—21no—
1503C42—21no—
1504C42—21no—
1505C42—21no—
1506C42—731no—
1507C42—731no—
1508C42—731no—
1509C42—1461no—
1510C42—1461no—
1511C42—1461no—
1512C42—1461no—
1513C42C23×D7311yescharacteristic
1514C42C23×D7311yescharacteristic
1515C42C23×D7311yescharacteristic
1516C23—21no—
1517C23—21no—
1518C23—2922no—
1519C23—2922no—
1520C23—2922no—
1521C23—5841no—
1522C23—5841no—
1523C23—5841no—
1524C23—731no—
1525C23—731no—
1526C23—731no—
1527C23—1461no—
1528C23—1461no—
1529Q8—21no—
1530Q8—21no—
1531Q8—21no—
1532Q8—21no—
1533Q8—41no—
1534Q8—42no—
1535Q8—2922no—
1536Q8—5841no—
1537Q8—5841no—
1538Q8—5841no—
1539Q8—5841no—
1540Q8—5841no—
1541D4—21no—
1542D4—21no—
1543D4—21no—
1544D4—21no—
1545D4—81no—
1546D4—81no—
1547D4—2921no—
1548D4—2922no—
1549D4—2922no—
1550D4—2922no—
1551D4—2922no—
1552D4—2922no—
1553D4—5841no—
1554D4—5841no—
1555D4—5841no—
1556D4—5841no—
1557D4—5841no—
1558D4—732no—
1559D4—1462no—
1560D4—1462no—
1561D4—1461no—
1562D4—1461no—
1563D4—1461no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—81no—
1571C2×C4—81no—
1572C2×C4—2922no—
1573C2×C4—2921no—
1574C2×C4—2922no—
1575C2×C4—2922no—
1576C2×C4—5841no—
1577C2×C4—5841no—
1578C2×C4—5841no—
1579C2×C4—5841no—
1580C2×C4—5841no—
1581C2×C4—5841no—
1582C2×C4—5841no—
1583C2×C4—5841no—
1584C2×C4—5841no—
1585C2×C4—5841no—
1586C2×C4—5841no—
1587C2×C4—5841no—
1588C2×C4—5841no—
1589C2×C4—731no—
1590C2×C4—731no—
1591C2×C4—731no—
1592C2×C4—731no—
1593C2×C4—731no—
1594C2×C4—1462no—
1595C2×C4—1461no—
1596C2×C4—1461no—
1597C2×C4—1461no—
1598C2×C4—1461no—
1599C2×C4—1461no—
1600C2×C4—1461no—
1601C2×C4—1461no—
1602C2×C4—1461no—
1603C2×C4—1461no—
1604C2×C4—1461no—
1605C2×C4—1461no—
1606C2×C4—1461no—
1607C2×C4C2×D4×D7311yescharacteristic
1608C2×C4C2×D4×D7311yescharacteristic
1609C2×C4C2×D4×D7311yescharacteristic
1610C2×C4C2×D4×D7311yescharacteristic
1611C2×C4C2×D4×D7311yescharacteristic
1612C2×C4C2×D4×D7311yescharacteristic
1613C2×C4C24×D7311yescharacteristic
1614C8—21no—
1615C8—21no—
1616C8—21no—
1617C8—21no—
1618C8—1461no—
1619C8—1461no—
1620C8—1461no—
1621C8—1461no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—2921no—
1629C22—2921no—
1630C22—2921no—
1631C22—2921no—
1632C22—2921no—
1633C22—5844no—
1634C22—732no—
1635C22—11682no—
1636C22—1462no—
1637C22—1461no—
1638C22—1461no—
1639C22—1461no—
1640C22—1461no—
1641C22—1461no—
1642C22—1461no—
1643C22—1461no—
1644C22—1461no—
1645C22C22×D4×D7311yescharacteristic
1646C4—21no—
1647C4—21no—
1648C4—21no—
1649C4—21no—
1650C4—21no—
1651C4—21no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—2921no—
1659C4—2921no—
1660C4—2921no—
1661C4—2921no—
1662C4—2921no—
1663C4—2921no—
1664C4—1461no—
1665C4—1461no—
1666C4—1461no—
1667C4—1461no—
1668C4—1461no—
1669C42−1+4×D7311yescharacteristic
1670C4#1798942311yescharacteristic
1671C2—81no—
1672C2—81no—
1673C2—2922no—
1674C2—2921no—
1675C2—2921no—
1676C2—5841no—
1677C2—1462no—
1678C2#2262361011yescharacteristic
1679C2#577×D7311yescharacteristic
1680C2#2262470811yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3371C2
socleC22×C73C23×D4
hypercenter#3371D73
hypocenterC73#62156
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3371

Complements

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

NH ≅ G/Ntype
1. #22624377C2semidirect
2. #22623870C2semidirect
3. #22622870C2semidirect
4. #22622832C2semidirect
5. #22622719C2semidirect
6. #22622481C2semidirect
7. #22622408C2semidirect
8. #22622398C2semidirect
9. #22622391C2semidirect
10. #22622307C2semidirect
11. #22622290C2semidirect
12. #22622071C2semidirect
13. #22622019C2semidirect
14. #22621974C2semidirect
15. #22621891C2semidirect
16. #22621780C2semidirect
17. #22621758C2semidirect
18. #22621399C2semidirect
19. #22621340C2semidirect
20. #22621281C2semidirect
21. #22621222C2semidirect
22. #22621179C2semidirect
23. #22621157C2semidirect
24. #22620206C2semidirect
25. #22620121C2semidirect
26. #22620073C2semidirect
27. #22619796C2semidirect
28. #22619759C2semidirect
29. #476×D73C2semidirect
30. #22619069C2semidirect
31. C73×#3371C2semidirect
34. #17989310C22semidirect
37. #17989297C22semidirect
39. #17989290C22semidirect
45. Q8×D292C22semidirect
49. #17989240C22semidirect
54. #17989217C22semidirect
55. #17989217C22semidirect
56. #17989209C22semidirect
57. #17989209C22semidirect
66. C4⋊Q8×D73C22semidirect
68. #17989124C22semidirect
75. #17988997C22semidirect
76. #17988996C22semidirect
77. #17988996C22semidirect
78. #17988993C22semidirect
79. #17988986C22semidirect
80. #17988985C22semidirect
81. #17988946C22semidirect
82. #17988946C22semidirect
84. #17988927C22semidirect
85. #17988926C22semidirect
86. #17988921C22semidirect
87. #17988921C22semidirect
88. #17988916C22semidirect
89. #17988916C22semidirect
90. #17988916C22semidirect
91. #17988913C22semidirect
93. #17988910C22semidirect
94. #17988909C22semidirect
95. #17988907C22semidirect
99. #17988904C22semidirect
100. #17988902C22semidirect
101. #17988899C22semidirect
102. #17988894C22semidirect
103. #17988894C22semidirect
104. #17988892C22semidirect
106. #17988889C22semidirect
107. #17988888C22semidirect
108. #17988888C22semidirect
109. #17988885C22semidirect
114. #17988878C22semidirect
115. #17988877C22semidirect
116. #17988877C22semidirect
119. #17988875C22semidirect
120. #17988875C22semidirect
122. #17988872C22semidirect
123. #17988872C22semidirect
124. #17988870C22semidirect
125. #17988870C22semidirect
127. #17988865C22semidirect
128. #17988865C22semidirect
129. #17988842C22semidirect
131. #17988839C22semidirect
132. #17988830C22semidirect
133. #17988825C22semidirect
135. #17988822C22semidirect
136. #17988819C22semidirect
137. #17988819C22semidirect
140. #17988813C22semidirect
141. #17988811C22semidirect
143. #17988804C22semidirect
144. #17988804C22semidirect
145. #17988799C22semidirect
146. #17988799C22semidirect
154. #17988718C22semidirect
157. #17988697C22semidirect
158. #17988697C22semidirect
162. C4×#11924015C22semidirect
165. #17988660C22semidirect
166. #17988657C22semidirect
167. #17988657C22semidirect
168. C8×D292C22semidirect
170. #17988649C22semidirect
171. #17988646C22semidirect
172. #17988642C22semidirect
173. #17988628C22semidirect
174. #17988626C22semidirect
175. #17988624C22semidirect
176. #106×D73C22semidirect
177. #106×D73C22semidirect
178. #106×D73C22semidirect
179. #17988612C22semidirect
180. #17988612C22semidirect
181. C4⋊C8×D73C22semidirect
189. #557×C73C22semidirect
191. #489×C73C22semidirect
192. #488×C73C22semidirect
193. #479×C73C22semidirect
194. #478×C73C22semidirect
195. #476×C73C22semidirect
196. #464×C73C22semidirect
197. #464×C73C22semidirect
199. #446×C73C22semidirect
200. #441×C73C22semidirect
201. #440×C73C22semidirect
202. C4×SD16×C73C22semidirect
846. #3371D73semidirect
872. C73#62156semidirect
876. #557C2×D73semidirect
927. #489C2×D73semidirect
928. #488C2×D73semidirect
951. #479C2×D73semidirect
959. #478C2×D73semidirect
970. #476C2×D73semidirect
991. #464C2×D73semidirect
992. #464C2×D73semidirect
1007. #446C2×D73semidirect
1012. #441C2×D73semidirect
1015. #440C2×D73semidirect
1018. C4×SD16C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226243772
#226238702
#226228702
#226228322
#226227192
#226224812
#226224082
#226223982
#226223912
#226223072
#226222902
#226220712
#226220192
#226219742
#226218912
#226217802
#226217582
#226213992
#226213402
#226212812
#226212222
#226211792
#226211572
#226202062
#226201212
#226200732
#226197962
#226197592
#476×D732
#226190692
C73×#33712
#6215673