Finite Group Databasebeta

← #33978931

Subgroups — #33978931

Order 18688.

1880 conjugacy classes of subgroups.

The subgroup lattice has 1774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623891C211yesmaximal, characteristic, complemented
2#22623497C211yesmaximal, characteristic, complemented
3#22623012C211yesmaximal, characteristic, complemented
4#22622991C211yesmaximal, characteristic, complemented
5#22622758C211yesmaximal, characteristic, complemented
6#22622116C211yesmaximal, characteristic, complemented
7#22622084C211yesmaximal, characteristic, complemented
8#22621979C211yesmaximal, characteristic, complemented
9#22621951C211yesmaximal, characteristic, complemented
10#22621817C211yesmaximal, characteristic, complemented
11#22621763C211yesmaximal, characteristic, complemented
12#22621644C211yesmaximal, characteristic, complemented
13#22621617C211yesmaximal, characteristic, complemented
14#22621492C211yesmaximal, characteristic, complemented
15#22621458C211yesmaximal, characteristic, complemented
16#22621443C211yesmaximal, characteristic, complemented
17#22621406C211yesmaximal, characteristic, complemented
18#22621331C211yesmaximal, characteristic, complemented
19#22621285C211yesmaximal, characteristic, complemented
20#22621270C211yesmaximal, characteristic, complemented
21#22620969C211yesmaximal, characteristic, complemented
22#22620935C211yesmaximal, characteristic, complemented
23#22620897C211yesmaximal, characteristic, complemented
24#22620067C211yesmaximal, characteristic, complemented
25#22620044C211yesmaximal, characteristic, complemented
26#22619945C211yesmaximal, characteristic, complemented
27#22619420C211yesmaximal, characteristic, complemented
28#22619379C211yesmaximal, characteristic, complemented
29#463×D73C211yesmaximal, characteristic, complemented
30#22619055C211yesmaximal, characteristic, complemented
31C73×#3370C211yesmaximal, characteristic, complemented
32C2×#14556620C2211yescharacteristic, complemented
33C2×#14556615C2211yescharacteristic
34C2×#14556610C2211yescharacteristic, complemented
35C2×#14556610C2211yescharacteristic, complemented
36C2×SD16×D73C2211yescharacteristic, complemented
37C2×D8×D73C2211yescharacteristic
38#17989310C2211yescharacteristic, complemented
39#17989310C2211yescharacteristic, complemented
40#17989303C2211yescharacteristic, complemented
41#17989302—21no—
42#17989285—21no—
43#17989279—21no—
44#17989275C2211yescharacteristic
45#17989275C2211yescharacteristic, complemented
46#17989264—21no—
47#17989264—21no—
48#17989260—21no—
49#17989260—21no—
50Q8×D292C2211yescharacteristic
51#17989245C2211yescharacteristic
52#17989245C2211yescharacteristic, complemented
53#17989241C2211yescharacteristic, complemented
54#17989232C2211yescharacteristic
55#17989232C2211yescharacteristic
56#17989232C2211yescharacteristic, complemented
57#17989232C2211yescharacteristic, complemented
58#17989230—21no—
59#17989222C2211yescharacteristic
60#17989206—21no—
61#17989173—21no—
62#17989173—21no—
63#17989142C2211yescharacteristic, complemented
64#17989135C2211yescharacteristic, complemented
65#17989124C2211yescharacteristic, complemented
66#17989123—21no—
67#17989123—21no—
68#17989122C2211yescharacteristic, complemented
69#17989122C2211yescharacteristic, complemented
70#17989119C2211yescharacteristic
71#17989119C2211yescharacteristic, complemented
72#124×D73C2211yescharacteristic
73#124×D73C2211yescharacteristic, complemented
74#17989100—21no—
75#17989059—21no—
76C4×#11924029C2211yescharacteristic
77C4×#11924027C2211yescharacteristic, complemented
78C4×#11924027C2211yescharacteristic, complemented
79C4×D4×D73C2211yescharacteristic, complemented
80C2×#14556549—21no—
81#17988982C2211yescharacteristic, complemented
82#17988981C2211yescharacteristic, complemented
83#17988981C2211yescharacteristic, complemented
84#17988974C2211yescharacteristic
85#17988971C2211yescharacteristic
86#17988969C2211yescharacteristic, complemented
87#17988957C2211yescharacteristic, complemented
88#17988949C2211yescharacteristic, complemented
89#17988944C2211yescharacteristic, complemented
90#17988930C2211yescharacteristic, complemented
91#17988927C2211yescharacteristic, complemented
92#17988919C2211yescharacteristic, complemented
93#17988914C2211yescharacteristic, complemented
94#17988909C2211yescharacteristic, complemented
95#17988899C2211yescharacteristic
96#17988893C2211yescharacteristic, complemented
97#17988893C2211yescharacteristic, complemented
98#17988891C2211yescharacteristic, complemented
99#17988886C2211yescharacteristic, complemented
100#17988885C2211yescharacteristic, complemented
101#17988884C2211yescharacteristic, complemented
102#17988869C2211yescharacteristic, complemented
103#17988846C2211yescharacteristic, complemented
104#17988839C2211yescharacteristic
105#17988834C2211yescharacteristic, complemented
106#17988832C2211yescharacteristic, complemented
107#17988829C2211yescharacteristic, complemented
108#17988829C2211yescharacteristic, complemented
109#17988827C2211yescharacteristic, complemented
110#17988824C2211yescharacteristic
111#17988819C2211yescharacteristic, complemented
112#17988817C2211yescharacteristic, complemented
113#17988815C2211yescharacteristic
114#17988815C2211yescharacteristic
115#17988812C2211yescharacteristic, complemented
116#17988812C2211yescharacteristic, complemented
117#17988810C2211yescharacteristic, complemented
118#17988810C2211yescharacteristic, complemented
119#17988809C2211yescharacteristic, complemented
120#17988808C2211yescharacteristic, complemented
121#17988808C2211yescharacteristic, complemented
122#17988808C2211yescharacteristic, complemented
123#17988808C2211yescharacteristic, complemented
124#17988806C2211yescharacteristic, complemented
125#17988805C2211yescharacteristic
126#17988804C2211yescharacteristic
127#17988803C2211yescharacteristic
128#17988803C2211yescharacteristic
129#17988802C2211yescharacteristic
130#17988802C2211yescharacteristic
131#17988802C2211yescharacteristic, complemented
132#17988801C2211yescharacteristic, complemented
133#17988801C2211yescharacteristic, complemented
134#17988800C2211yescharacteristic, complemented
135#17988800C2211yescharacteristic, complemented
136#17988799C2211yescharacteristic, complemented
137#17988798C2211yescharacteristic, complemented
138#17988798C2211yescharacteristic, complemented
139#17988792C2211yescharacteristic, complemented
140#17988792C2211yescharacteristic, complemented
141#17988784C2211yescharacteristic, complemented
142#17988750C2211yescharacteristic, complemented
143#17988750C2211yescharacteristic, complemented
144#17988750C2211yescharacteristic, complemented
145#17988746C2211yescharacteristic, complemented
146#17988744C2211yescharacteristic, complemented
147#17988744C2211yescharacteristic, complemented
148#17988744C2211yescharacteristic, complemented
149#17988739C2211yescharacteristic
150#17988739C2211yescharacteristic
151#17988739C2211yescharacteristic, complemented
152#17988739C2211yescharacteristic, complemented
153#17988733C2211yescharacteristic
154#17988733C2211yescharacteristic, complemented
155#17988733C2211yescharacteristic, complemented
156#17988729C2211yescharacteristic
157#17988727C2211yescharacteristic, complemented
158#17988722C2211yescharacteristic
159#17988719C2211yescharacteristic
160#17988718C2211yescharacteristic, complemented
161#17988697C2211yescharacteristic
162#17988697C2211yescharacteristic, complemented
163#17988692C2211yescharacteristic, complemented
164#17988689C2211yescharacteristic, complemented
165#17988689C2211yescharacteristic, complemented
166#17988687C2211yescharacteristic, complemented
167C4×Dic292C2211yescharacteristic, complemented
168C4×#11924016C2211yescharacteristic, complemented
169C4×#11924016C2211yescharacteristic, complemented
170#17988660C2211yescharacteristic
171#17988660C2211yescharacteristic, complemented
172#17988657C2211yescharacteristic
173#17988657C2211yescharacteristic, complemented
174C8×D292C2211yescharacteristic, complemented
175#17988652C2211yescharacteristic, complemented
176#17988642C2211yescharacteristic, complemented
177#17988642C2211yescharacteristic, complemented
178#17988638C2211yescharacteristic, complemented
179#17988609C2211yescharacteristic, complemented
180C4⋊C8×D73C2211yescharacteristic, complemented
181C4⋊C8×D73C2211yescharacteristic, complemented
182#17988594C2211yescharacteristic, complemented
183#17988590C2211yescharacteristic, complemented
184#17988580C2211yescharacteristic, complemented
185#17988580C2211yescharacteristic, complemented
186#103×D73C2211yescharacteristic, complemented
187#102×D73C2211yescharacteristic
188#559×C73C2211yescharacteristic, complemented
189#554×C73C2211yescharacteristic, complemented
190#490×C73C2211yescharacteristic, complemented
191#489×C73C2211yescharacteristic, complemented
192#488×C73C2211yescharacteristic, complemented
193#479×C73C2211yescharacteristic, complemented
194#478×C73C2211yescharacteristic, complemented
195#474×C73C2211yescharacteristic, complemented
196#463×C73C2211yescharacteristic, complemented
197#463×C73C2211yescharacteristic, complemented
198#459×C73C2211yescharacteristic
199#446×C73C2211yescharacteristic, complemented
200#442×C73C2211yescharacteristic, complemented
201#440×C73C2211yescharacteristic, complemented
202C4×D8×C73C2211yescharacteristic, complemented
203C2×#11924029D411yescharacteristic
204C2×#11924027C2311yescharacteristic
205C2×#11924027C2311yescharacteristic
206C2×#11924027C2311yescharacteristic
207C2×#11924027C2311yescharacteristic
208C2×Q8×D73C2311yescharacteristic
209C2×Q8×D73C2311yescharacteristic
210C2×D4×D73—21no—
211C2×D4×D73C2311yescharacteristic
212C2×D4×D73C2311yescharacteristic
213C2×D4×D73C2311yescharacteristic
214C22×C4×D73—21no—
215#14556620—42no—
216#14556615—42no—
217#14556610—42no—
218#14556610—42no—
219C2×Dic292C2311yescharacteristic
220C2×Dic292C2311yescharacteristic
221C2×Dic292C2311yescharacteristic
222C2×Dic292C2311yescharacteristic
223C2×#11924018C2311yescharacteristic
224C2×#11924018C2311yescharacteristic
225C2×#11924017C2311yescharacteristic
226C2×#11924017C2311yescharacteristic
227C2×#11924017C2311yescharacteristic
228C2×#11924017C2311yescharacteristic
229C2×#11924016C2311yescharacteristic
230C2×#11924016C2311yescharacteristic
231C2×#11924016C2311yescharacteristic
232C2×#11924016C2311yescharacteristic
233C2×#11924016C2311yescharacteristic
234C2×#11924016C2311yescharacteristic
235C2×#11924015C2311yescharacteristic
236SD16×D73—42no—
237C2×D584C2311yescharacteristic
238C2×#11924013C2311yescharacteristic
239C2×#11924013C2311yescharacteristic
240C2×#11924013C2311yescharacteristic
241D8×D73—42no—
242C2×#11924011C2311yescharacteristic
243C2×#11924011C2311yescharacteristic
244C2×C8×D73C2311yescharacteristic
245C2×C8×D73C2311yescharacteristic
246C2×C8×D73C2311yescharacteristic
247C2×C8×D73C2311yescharacteristic
248#14556591—21no—
249#14556591C2311yescharacteristic
250#14556591C2311yescharacteristic
251#14556586—21no—
252#14556586—21no—
253#14556586—21no—
254#14556586—21no—
255#14556586—21no—
256#14556586—21no—
257#14556586—21no—
258#14556586—21no—
259#14556586—21no—
260#14556584—21no—
261#14556584—21no—
262#14556582—21no—
263#14556582—21no—
264#14556582—21no—
265#14556582C2311yescharacteristic
266#14556580—21no—
267#14556580—21no—
268#14556580C2311yescharacteristic
269#14556579C2311yescharacteristic
270#14556579C2311yescharacteristic
271#14556579C2311yescharacteristic
272#14556579C2311yescharacteristic
273#14556578C2311yescharacteristic
274#14556578C2311yescharacteristic
275#14556577—21no—
276#14556577—21no—
277#14556577—21no—
278#14556577—21no—
279#14556577—21no—
280#14556577—21no—
281#14556576—21no—
282#14556576—21no—
283#14556576—21no—
284#14556576—21no—
285#14556576—21no—
286#14556575—21no—
287#14556575—21no—
288#14556575—21no—
289#14556575—21no—
290#14556575—21no—
291#14556575—21no—
292#14556573—21no—
293#14556573—21no—
294#14556571—21no—
295#14556571—21no—
296#14556571C2311yescharacteristic
297#14556571C2311yescharacteristic
298#14556571C2311yescharacteristic
299#14556571C2311yescharacteristic
300#14556571C2311yescharacteristic
301#14556571C2311yescharacteristic
302#14556568—21no—
303#14556568—21no—
304#14556567—21no—
305#14556567—21no—
306#14556567—21no—
307#14556567C2311yescharacteristic
308#14556566—21no—
309#14556566C2311yescharacteristic
310#14556566C2311yescharacteristic
311#14556566C2311yescharacteristic
312#14556565—21no—
313#14556565—21no—
314#14556565—21no—
315#14556565—21no—
316#14556565—21no—
317#14556564—21no—
318#14556564—21no—
319#14556562—21no—
320#14556562—21no—
321#14556562—21no—
322#14556562C2311yescharacteristic
323#14556562C2311yescharacteristic
324#14556561—21no—
325#14556561—21no—
326#14556561—21no—
327#14556561—21no—
328#14556559—21no—
329#14556559—21no—
330Q8×Dic73—21no—
331Q8×Dic73D411yescharacteristic
332C4×Dic146C2311yescharacteristic
333C4×Dic146C2311yescharacteristic
334C4×Dic146C2311yescharacteristic
335C4×Dic146C2311yescharacteristic
336#14556556C2311yescharacteristic
337#14556556C2311yescharacteristic
338C4×D292—21no—
339C4×D292—21no—
340C4×D292C2311yescharacteristic
341C4×D292C2311yescharacteristic
342C4×D292C2311yescharacteristic
343C4×D292C2311yescharacteristic
344C4×D292C2311yescharacteristic
345D4×Dic73—21no—
346D4×Dic73—21no—
347D4×Dic73C2311yescharacteristic
348#14556553—21no—
349#14556553—21no—
350#14556553D411yescharacteristic
351#14556553D411yescharacteristic
352#14556553D411yescharacteristic
353#14556553C2311yescharacteristic
354C4×C22⋊D73—21no—
355C4×C22⋊D73—21no—
356C4×C22⋊D73—21no—
357C4×C22⋊D73—21no—
358C4×C22⋊D73—21no—
359#14556551—21no—
360#14556551—21no—
361#14556551—21no—
362#14556551—21no—
363#14556551—21no—
364#14556550—21no—
365#14556550—21no—
366#14556549—21no—
367#14556549—21no—
368#14556549—21no—
369#14556549—21no—
370#14556549—21no—
371#14556549—21no—
372#14556549—21no—
373#14556549—21no—
374#14556549D411yescharacteristic
375#14556549D411yescharacteristic
376#14556549D411yescharacteristic
377#14556549C2311yescharacteristic
378#14556549C2311yescharacteristic
379#14556548—21no—
380#14556547—21no—
381#14556547—21no—
382C2×C4⋊Dic73—21no—
383C4⋊C4×D73C2311yescharacteristic
384C2×#11924005—21no—
385C2×#11924005—21no—
386C2×#11924005—21no—
387C2×#11924005—21no—
388C22⋊C4×D73—21no—
389C22⋊C4×D73—21no—
390C22⋊C4×D73—21no—
391C22⋊C4×D73—21no—
392C22⋊C4×D73—21no—
393C2×C4×Dic73—21no—
394C2×C4×Dic73—21no—
395C42×D73C2311yescharacteristic
396C42×D73C2311yescharacteristic
397C42×D73C2311yescharacteristic
398#14556525C2311yescharacteristic
399#14556524C2311yescharacteristic
400#14556522C2311yescharacteristic
401#14556522C2311yescharacteristic
402#14556522C2311yescharacteristic
403C4⋊#10596831C2311yescharacteristic
404C4⋊#10596831C2311yescharacteristic
405C4⋊#10596831C2311yescharacteristic
406#14556520C2311yescharacteristic
407#14556520C2311yescharacteristic
408#14556520C2311yescharacteristic
409#14556520C2311yescharacteristic
410#14556516C2311yescharacteristic
411#14556516C2311yescharacteristic
412#14556516C2311yescharacteristic
413#14556516C2311yescharacteristic
414#14556515C2311yescharacteristic
415#14556514C2311yescharacteristic
416#14556514C2311yescharacteristic
417#14556514C2311yescharacteristic
418#14556514C2311yescharacteristic
419#14556514C2311yescharacteristic
420#14556514C2311yescharacteristic
421#14556514C2311yescharacteristic
422#14556514C2311yescharacteristic
423#14556513C2311yescharacteristic
424#14556513C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556512C2311yescharacteristic
427#14556512C2311yescharacteristic
428#14556511C2311yescharacteristic
429#14556511C2311yescharacteristic
430#14556511C2311yescharacteristic
431#14556511C2311yescharacteristic
432#14556503C2311yescharacteristic
433#14556503C2311yescharacteristic
434#14556503C2311yescharacteristic
435#14556503C2311yescharacteristic
436#14556503C2311yescharacteristic
437#14556503C2311yescharacteristic
438#14556502C2311yescharacteristic
439#14556502C2311yescharacteristic
440C4×#10596831C2311yescharacteristic
441C2×SD16×C73C2311yescharacteristic
442C2×D8×C73C2311yescharacteristic
443C2×D8×C73C2311yescharacteristic
444C4⋊Q8×C73C2311yescharacteristic
445#127×C73C2311yescharacteristic
446#125×C73C2311yescharacteristic
447#125×C73C2311yescharacteristic
448#124×C73—21no—
449#124×C73C2311yescharacteristic
450#124×C73C2311yescharacteristic
451#123×C73—21no—
452#123×C73—21no—
453C22⋊Q8×C73—21no—
454C22⋊Q8×C73—21no—
455C22⋊Q8×C73—21no—
456C4×Q8×C73C2311yescharacteristic
457C4×Q8×C73C2311yescharacteristic
458C4×D4×C73—21no—
459C4×D4×C73C2311yescharacteristic
460C4×D4×C73C2311yescharacteristic
461C4×D4×C73C2311yescharacteristic
462C4×D4×C73C2311yescharacteristic
463C4×D4×C73C2311yescharacteristic
464C2×C4⋊C4×C73—21no—
465#107×C73C2311yescharacteristic
466#107×C73C2311yescharacteristic
467#106×C73C2311yescharacteristic
468C4⋊C8×C73C2311yescharacteristic
469C4⋊C8×C73C2311yescharacteristic
470C4⋊C8×C73C2311yescharacteristic
471#103×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#103×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478#102×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481#97×C73C2311yescharacteristic
482#97×C73C2311yescharacteristic
483C4×C8×C73C2311yescharacteristic
484C23×D73—21no—
485C23×D73—21no—
486C23×D73—21no—
487#11924029—42no—
488#11924027—22no—
489#11924027—22no—
490#11924027—41no—
491#11924027—41no—
492#11924027—41no—
493#11924027—41no—
494#11924027—41no—
495#11924027—41no—
496C2×Dic146—21no—
497C2×Dic146—21no—
498C2×Dic146C2411yescharacteristic
499C2×Dic146C2411yescharacteristic
500C2×Dic146C2411yescharacteristic
501C2×Dic146C2411yescharacteristic
502Q8×D73—41no—
503Q8×D73—41no—
504Q8×D73—41no—
505Q8×D73—41no—
506C2×D292—21no—
507C2×D292—21no—
508C2×D292—21no—
509C2×D292C2×D411yescharacteristic
510C2×D292C2×D411yescharacteristic
511C2×D292C2×D411yescharacteristic
512C2×D292C2411yescharacteristic
513C2×D292C2411yescharacteristic
514C2×C22⋊D73—21no—
515C2×C22⋊D73—21no—
516C2×C22⋊D73—21no—
517C2×C22⋊D73—21no—
518C2×C22⋊D73—21no—
519C2×C22⋊D73—21no—
520C2×C22⋊D73—21no—
521C2×C22⋊D73—21no—
522C2×C22⋊D73—21no—
523D4×D73—22no—
524D4×D73—41no—
525D4×D73—41no—
526D4×D73—41no—
527D4×D73—41no—
528D4×D73—41no—
529D4×D73—44no—
530C22×Dic73—21no—
531C22×Dic73—21no—
532C22×Dic73—21no—
533C22×Dic73—21no—
534C22×Dic73—21no—
535C2×C4×D73—21no—
536C2×C4×D73—21no—
537C2×C4×D73—21no—
538C2×C4×D73—21no—
539C2×C4×D73—21no—
540C2×C4×D73—21no—
541C2×C4×D73—44no—
542C2×C4×D73C2×D411yescharacteristic
543C2×C4×D73C2×D411yescharacteristic
544C2×C4×D73C2×D411yescharacteristic
545C2×C4×D73C2×D411yescharacteristic
546C2×C4×D73C2×D411yescharacteristic
547C2×C4×D73C2×D411yescharacteristic
548C2×C4×D73C2411yescharacteristic
549C2×C4×D73C2411yescharacteristic
550C2×C4×D73C2411yescharacteristic
551Dic292—41no—
552Dic292—41no—
553Dic292—41no—
554Dic292—41no—
555#11924018—41no—
556#11924018—41no—
557#11924017—41no—
558#11924017—41no—
559#11924017—41no—
560#11924017—41no—
561#11924016—22no—
562#11924016—22no—
563#11924016—41no—
564#11924016—41no—
565#11924016—41no—
566#11924016—41no—
567#11924015—41no—
568D584—41no—
569#11924013—22no—
570#11924013—41no—
571#11924013—41no—
572#11924011—41no—
573#11924011—41no—
574C2×#10596831C2411yescharacteristic
575C2×#10596831C2411yescharacteristic
576C2×#10596831C2411yescharacteristic
577C2×#10596831C2411yescharacteristic
578C8×D73—41no—
579C8×D73—41no—
580C8×D73—41no—
581C8×D73—41no—
582C4⋊Dic73—21no—
583C4⋊Dic73—21no—
584C4⋊Dic73—21no—
585C4⋊Dic73—21no—
586C4⋊Dic73—21no—
587C4⋊Dic73—21no—
588C4⋊Dic73—21no—
589C4⋊Dic73—21no—
590C4⋊Dic73—21no—
591C4⋊Dic73—21no—
592C4⋊Dic73—21no—
593C4⋊Dic73C2×D411yescharacteristic
594C4⋊Dic73C2×D411yescharacteristic
595C4⋊Dic73C2×D411yescharacteristic
596C4⋊Dic73C2411yescharacteristic
597C4⋊Dic73C2411yescharacteristic
598#11924007—21no—
599#11924007—21no—
600#11924007—21no—
601#11924007—21no—
602#11924007—21no—
603#11924007—21no—
604#11924007—21no—
605#11924007—21no—
606#11924007—21no—
607C22⋊Dic73—21no—
608C22⋊Dic73—21no—
609C22⋊Dic73—21no—
610C22⋊Dic73—21no—
611C22⋊Dic73—21no—
612C22⋊Dic73—21no—
613C22⋊Dic73—21no—
614#11924005—21no—
615#11924005—21no—
616#11924005—21no—
617#11924005—21no—
618#11924005—21no—
619#11924005—21no—
620#11924005—21no—
621#11924005—21no—
622#11924005—21no—
623#11924005—21no—
624#11924005—21no—
625#11924005—21no—
626#11924005—21no—
627#11924005—21no—
628#11924005—21no—
629#11924005—21no—
630#11924005—21no—
631#11924005—21no—
632#11924005—21no—
633#11924005—21no—
634#11924005—21no—
635#11924005—21no—
636#11924005—21no—
637#11924005—21no—
638#11924005—21no—
639#11924005C2×D411yescharacteristic
640#11924005C2×D411yescharacteristic
641#11924005C2×D411yescharacteristic
642#11924005C2×D411yescharacteristic
643#11924005C2×D411yescharacteristic
644#11924005C2×D411yescharacteristic
645C4×Dic73—21no—
646C4×Dic73—21no—
647C4×Dic73—21no—
648C4×Dic73—21no—
649C4×Dic73—21no—
650C4×Dic73—21no—
651C4×Dic73—21no—
652C4×Dic73—21no—
653C4×Dic73C2×D411yescharacteristic
654C4×Dic73C2×D411yescharacteristic
655C4×Dic73C2×D411yescharacteristic
656C4×Dic73C2×D411yescharacteristic
657C4×Dic73C2×D411yescharacteristic
658C4×Dic73C2×D411yescharacteristic
659C4×Dic73C2411yescharacteristic
660C2×Q8×C73—21no—
661C2×Q8×C73C2×D411yescharacteristic
662C2×Q8×C73C2411yescharacteristic
663C2×D4×C73—21no—
664C2×D4×C73—21no—
665C2×D4×C73C2411yescharacteristic
666C2×D4×C73C2411yescharacteristic
667C2×D4×C73C2411yescharacteristic
668C22×C4×C73—21no—
669C22×C4×C73—21no—
670C22×C4×C73—21no—
671C22×C4×C73—21no—
672C22×C4×C73—21no—
673SD16×C73—22no—
674D8×C73—22no—
675D8×C73—22no—
676C2×C8×C73C2411yescharacteristic
677C2×C8×C73C2411yescharacteristic
678C2×C8×C73C2411yescharacteristic
679C2×C8×C73C2411yescharacteristic
680C4⋊C4×C73—21no—
681C4⋊C4×C73—21no—
682C4⋊C4×C73—21no—
683C4⋊C4×C73—21no—
684C4⋊C4×C73—21no—
685C4⋊C4×C73—21no—
686C4⋊C4×C73C2×D411yescharacteristic
687C4⋊C4×C73C2×D411yescharacteristic
688C4⋊C4×C73C2×D411yescharacteristic
689C4⋊C4×C73C2411yescharacteristic
690C4⋊C4×C73C2411yescharacteristic
691C4⋊C4×C73C2411yescharacteristic
692C4⋊C4×C73C2411yescharacteristic
693C22⋊C4×C73—21no—
694C22⋊C4×C73—21no—
695C22⋊C4×C73—21no—
696C22⋊C4×C73—21no—
697C22⋊C4×C73—21no—
698C22⋊C4×C73—21no—
699C22⋊C4×C73—21no—
700C22⋊C4×C73—21no—
701C22⋊C4×C73—21no—
702C42×C73—21no—
703C42×C73C2411yescharacteristic
704C42×C73C2411yescharacteristic
705C42×C73C2411yescharacteristic
706C23×C73—21no—
707C23×C73—21no—
708C23×C73—21no—
709C22×D73—21no—
710C22×D73—21no—
711C22×D73—42no—
712C22×D73—42no—
713C22×D73—42no—
714C22×D73—42no—
715C22×D73—81no—
716C22×D73—81no—
717C22×D73—81no—
718C22×D73—81no—
719C22×D73—81no—
720C22×D73C22×D411yescharacteristic
721C22×D73C22×D411yescharacteristic
722C22×D73C22×D411yescharacteristic
723Q8×C73—21no—
724Q8×C73—21no—
725Q8×C73—41no—
726Q8×C73—81no—
727D4×C73—21no—
728D4×C73—21no—
729D4×C73—21no—
730D4×C73—21no—
731D4×C73—21no—
732D4×C73—42no—
733D4×C73—81no—
734D4×C73H(5,𝔽2)12yes—
735C2×C4×C73—21no—
736C2×C4×C73—21no—
737C2×C4×C73—21no—
738C2×C4×C73—21no—
739C2×C4×C73—21no—
740C2×C4×C73—42no—
741C2×C4×C73—81no—
742C2×C4×C73—81no—
743C2×C4×C73—81no—
744C2×C4×C73—81no—
745C2×C4×C73C22×D411yescharacteristic
746C2×C4×C73C22×D411yescharacteristic
747C2×C4×C73C22×D411yescharacteristic
748C2×C4×C73C22×D411yescharacteristic
749C2×C4×C73C22×D411yescharacteristic
750C2×C4×C73C22×D411yescharacteristic
751C2×C4×C73C2511yescharacteristic
752C22⋊D73—42no—
753C22⋊D73—42no—
754C22⋊D73—42no—
755C22⋊D73—42no—
756C22⋊D73—42no—
757C22⋊D73—81no—
758C22⋊D73—81no—
759C22⋊D73—81no—
760C22⋊D73—81no—
761C2×Dic73—21no—
762C2×Dic73—21no—
763C2×Dic73—21no—
764C2×Dic73—21no—
765C2×Dic73—21no—
766C2×Dic73—21no—
767C2×Dic73—42no—
768C2×Dic73—42no—
769C2×Dic73—42no—
770C2×Dic73—81no—
771C2×Dic73—81no—
772C2×Dic73C22×D411yescharacteristic
773C2×Dic73C22×D411yescharacteristic
774C2×Dic73C22×D411yescharacteristic
775C2×Dic73C22×D411yescharacteristic
776C2×Dic73C22×D411yescharacteristic
777D292—22no—
778D292—22no—
779D292—21no—
780D292—21no—
781D292—21no—
782D292—21no—
783D292—41no—
784D292—81no—
785D292—81no—
786D292—81no—
787C4×D73—22no—
788C4×D73—21no—
789C4×D73—21no—
790C4×D73—21no—
791C4×D73—21no—
792C4×D73—21no—
793C4×D73—21no—
794C4×D73—41no—
795C4×D73—41no—
796C4×D73—41no—
797C4×D73—41no—
798C4×D73—41no—
799C4×D73—42no—
800C4×D73—42no—
801C4×D73—42no—
802C4×D73—42no—
803C4×D73—81no—
804C4×D73—81no—
805Dic146—21no—
806Dic146—21no—
807Dic146—21no—
808Dic146—21no—
809Dic146—21no—
810Dic146—21no—
811Dic146—21no—
812Dic146—21no—
813Dic146—81no—
814Dic146—81no—
815C8×C73—21no—
816C8×C73—21no—
817C8×C73—21no—
818C8×C73—21no—
819#10596831—21no—
820#10596831—21no—
821#10596831—21no—
822#10596831—21no—
823C22×C73—22no—
824C22×C73—41no—
825C22×C73—41no—
826C22×C73—41no—
827C22×C73—41no—
828C22×C73—41no—
829C22×C73—41no—
830C22×C73—41no—
831C22×C73—41no—
832C22×C73C23×D411yescharacteristic
833C2×D73—21no—
834C2×D73—21no—
835C2×D73—21no—
836C2×D73—21no—
837C2×D73—21no—
838C2×D73—21no—
839C2×D73—21no—
840C2×D73—21no—
841C2×D73—41no—
842C2×D73—41no—
843C2×D73—41no—
844C2×D73—41no—
845C2×D73—41no—
846C2×D73—41no—
847C2×D73—84no—
848C2×D73—162no—
849C2×D73—162no—
850C2×D73#57512yes—
851C4×C73—21no—
852C4×C73—21no—
853C4×C73—21no—
854C4×C73—21no—
855C4×C73—21no—
856C4×C73—21no—
857C4×C73—41no—
858C4×C73—41no—
859C4×C73—41no—
860C4×C73—41no—
861C4×C73—41no—
862C4×C73C2×H(5,𝔽2)11yescharacteristic
863C4×C73#58511yescharacteristic
864Dic73—21no—
865Dic73—21no—
866Dic73—21no—
867Dic73—21no—
868Dic73—21no—
869Dic73—41no—
870Dic73—41no—
871Dic73—41no—
872Dic73—41no—
873Dic73—41no—
874Dic73—41no—
875#61990—731nomaximal, Sylow
876C2×C73—42no—
877C2×C73—81no—
878C2×C73—81no—
879C2×C73#348811yescharacteristic
880C2×C73C2×#57511yescharacteristic
881C2×C73#358411yescharacteristic
882D73—22no—
883D73—41no—
884D73—41no—
885D73—81no—
886D73—81no—
887#3514—731no—
888#3475—731no—
889#3402—731no—
890#3401—731no—
891#3376—731no—
892#3370D7311yescharacteristic, complemented
893#3321—731no—
894#3319—731no—
895#3312—731no—
896#3310—731no—
897#3300—731no—
898#3296—731no—
899#3282—731no—
900#3280—731no—
901#3269—731no—
902#3267—731no—
903#3266—731no—
904#3264—731no—
905#3256—731no—
906#3250—731no—
907#3248—731no—
908#3219—731no—
909#3215—731no—
910#3211—731no—
911#3114—731no—
912#3111—731no—
913#3102—731no—
914#3040—731no—
915#3035—731no—
916C2×#463—731no—
917#2990—731no—
918C73#6199011yescharacteristic, complemented, Sylow
919C2×#137—731no—
920C2×AGL(1,ℤ/8)—731no—
921C2×#135—731no—
922C2×#135—731no—
923C22×SD16—731no—
924C22×D8—731no—
925#559C2×D7311yescharacteristic, complemented
926#556—731no—
927#556—731no—
928#555—731no—
929#555—1461no—
930#554C2×D7311yescharacteristic, complemented
931#553—1461no—
932#552—731no—
933#552—731no—
934#552—1461no—
935#551—1461no—
936#551—1461no—
937#551—1461no—
938#551—1461no—
939D4×Q8—731no—
940#548—731no—
941#548—731no—
942#547—731no—
943#546—731no—
944#546—731no—
945#546—731no—
946#546—731no—
947#546—1461no—
948D42—731no—
949#542—1461no—
950#538—1461no—
951#538—1461no—
952#533—731no—
953#532—731no—
954#529—731no—
955#529—731no—
956#529—731no—
957#529—731no—
958#529—731no—
959#529—1461no—
960#529—1461no—
961C2×#124—731no—
962C2×#124—731no—
963#525—1461no—
964#518—1461no—
965C4×#41—731no—
966C4×#41—731no—
967C4×#41—731no—
968C2×C4×D4—731no—
969C2×#117—1461no—
970#497—731no—
971#497—731no—
972#497—731no—
973#496—731no—
974#495—731no—
975#495—731no—
976#491—731no—
977#490C2×D7311yescharacteristic, complemented
978#489—731no—
979#489C2×D7311yescharacteristic, complemented
980#488—731no—
981#488C2×D7311yescharacteristic, complemented
982#485—731no—
983#485—731no—
984#483—731no—
985#482—731no—
986#482—731no—
987#480—731no—
988#479—731no—
989#479—731no—
990#479—731no—
991#479C2×D7311yescharacteristic, complemented
992#478—731no—
993#478—731no—
994#478—731no—
995#478C2×D7311yescharacteristic, complemented
996#475—731no—
997#474C2×D7311yescharacteristic, complemented
998#470—731no—
999#469—731no—
1000#468—731no—
1001#468—731no—
1002#467—731no—
1003#467—731no—
1004#467—731no—
1005#466—731no—
1006#465—731no—
1007#465—731no—
1008#465—731no—
1009#465—731no—
1010#464—731no—
1011#464—731no—
1012#464—731no—
1013#464—731no—
1014#464—731no—
1015#464—731no—
1016#464—731no—
1017#464—731no—
1018#464—731no—
1019#464—731no—
1020#463—731no—
1021#463—731no—
1022#463—731no—
1023#463—731no—
1024#463—731no—
1025#463—731no—
1026#463—731no—
1027#463—731no—
1028#463—731no—
1029#463—731no—
1030#463—731no—
1031#463—731no—
1032#463C2×D7311yescharacteristic, complemented
1033#463C2×D7311yescharacteristic, complemented
1034#462—731no—
1035#462—731no—
1036#461—731no—
1037#461—731no—
1038#460—731no—
1039#459C2×D7311yescharacteristic
1040#452—731no—
1041#452—731no—
1042#452—731no—
1043#452—731no—
1044#451—731no—
1045#451—731no—
1046#451—731no—
1047#450—731no—
1048#450—731no—
1049#450—731no—
1050#450—731no—
1051#449—731no—
1052#449—731no—
1053#449—731no—
1054#449—731no—
1055#448—731no—
1056#447—731no—
1057#447—731no—
1058#446—731no—
1059#446C2×D7311yescharacteristic, complemented
1060#442—731no—
1061#442—731no—
1062#442C2×D7311yescharacteristic, complemented
1063#441—731no—
1064#440—731no—
1065#440—731no—
1066#440—731no—
1067#440C2×D7311yescharacteristic, complemented
1068C4×Q16—731no—
1069C4×SD16—731no—
1070C4×SD16—731no—
1071C4×D8C2×D7311yescharacteristic, complemented
1072#435—731no—
1073#435—731no—
1074#435—731no—
1075#435—731no—
1076C8×D4—731no—
1077C8×D4—731no—
1078#432—731no—
1079#432—731no—
1080#431—731no—
1081#423—731no—
1082C2×C4⋊C8—731no—
1083C2×C4⋊C8—731no—
1084#419—731no—
1085#418—731no—
1086#416—731no—
1087#416—731no—
1088C2×#103—731no—
1089C2×#102—731no—
1090C2×#41—731no—
1091C2×#41—731no—
1092C2×#41—731no—
1093C2×#41—731no—
1094C2×#41—731no—
1095C22×Q8—731no—
1096C22×Q8—731no—
1097C22×D4—731no—
1098C22×D4—731no—
1099C22×D4—731no—
1100C22×D4—1461no—
1101C23×C4—1461no—
1102#137—2922no—
1103AGL(1,ℤ/8)—2922no—
1104#135—2922no—
1105#135—2922no—
1106C2×Q16—731no—
1107C2×Q16—731no—
1108C2×Q16—731no—
1109C2×Q16—731no—
1110C2×Q16—731no—
1111C2×Q16—731no—
1112C2×SD16—2922no—
1113C2×SD16—731no—
1114C2×SD16—731no—
1115C2×SD16—731no—
1116C2×SD16—731no—
1117C2×SD16—731no—
1118C2×SD16—731no—
1119C2×SD16—731no—
1120C2×SD16—731no—
1121C2×SD16—731no—
1122C2×SD16—731no—
1123C2×SD16—731no—
1124C2×SD16C22×D7311yescharacteristic
1125C2×D8—2922no—
1126C2×D8—731no—
1127C2×D8—731no—
1128C2×D8—731no—
1129C2×D8—731no—
1130C2×D8C22×D7311yescharacteristic
1131C2×D8C22×D7311yescharacteristic
1132C2×M16—731no—
1133C2×M16—731no—
1134C22×C8—731no—
1135C22×C8—731no—
1136C22×C8—731no—
1137C22×C8—731no—
1138C4⋊Q8—731no—
1139C4⋊Q8—731no—
1140C4⋊Q8—1461no—
1141C4⋊Q8C22×D7311yescharacteristic
1142#127C22×D7311yescharacteristic
1143#126—1461no—
1144#126—1461no—
1145#126—1461no—
1146#126—1461no—
1147#126—1461no—
1148#126—1461no—
1149#126—1461no—
1150#126—1461no—
1151#126—1461no—
1152#126—1461no—
1153#126—1461no—
1154#125—731no—
1155#125—1461no—
1156#125—1461no—
1157#125—1461no—
1158#125C22×D7311yescharacteristic
1159#125C22×D7311yescharacteristic
1160#124—21no—
1161#124—731no—
1162#124—731no—
1163#124—731no—
1164#124—731no—
1165#124—731no—
1166#124—731no—
1167#124—731no—
1168#124—1461no—
1169#124—1461no—
1170#124—1461no—
1171#124—1461no—
1172#124—1461no—
1173#124—1461no—
1174#124—1461no—
1175#124—1461no—
1176#124C22×D7311yescharacteristic
1177#124C22×D7311yescharacteristic
1178#123—21no—
1179#123—21no—
1180#123—1461no—
1181#123—1461no—
1182#123—1461no—
1183#123—1461no—
1184#123—1461no—
1185#123—1461no—
1186#123—1461no—
1187#123—1461no—
1188#123—1461no—
1189#123—1461no—
1190#123—1461no—
1191#123—1461no—
1192#123—1461no—
1193C22⋊Q8—21no—
1194C22⋊Q8—21no—
1195C22⋊Q8—21no—
1196C22⋊Q8—731no—
1197C22⋊Q8—731no—
1198C22⋊Q8—731no—
1199C22⋊Q8—731no—
1200C22⋊Q8—731no—
1201C22⋊Q8—731no—
1202C22⋊Q8—731no—
1203C22⋊Q8—1461no—
1204C22⋊Q8—1461no—
1205C22⋊Q8—1461no—
1206C22⋊Q8—1461no—
1207C22⋊Q8—1461no—
1208C22⋊Q8—1461no—
1209C22⋊Q8—1461no—
1210#121—731no—
1211#121—731no—
1212#121—731no—
1213#121—731no—
1214#121—731no—
1215#121—1461no—
1216#121—1461no—
1217#121—1461no—
1218#121—1461no—
1219#121—1461no—
1220#121—1461no—
1221#121—1461no—
1222#121—1461no—
1223#121—1461no—
1224#121—1461no—
1225#121—1461no—
1226#120—1461no—
1227#120—1461no—
1228#120—1461no—
1229#120—1461no—
1230#120—1461no—
1231#120—1461no—
1232C4×Q8—731no—
1233C4×Q8—731no—
1234C4×Q8—731no—
1235C4×Q8—731no—
1236C4×Q8—731no—
1237C4×Q8—731no—
1238C4×Q8—731no—
1239C4×Q8—1461no—
1240C4×Q8C22×D7311yescharacteristic
1241C4×Q8C22×D7311yescharacteristic
1242C4×D4—21no—
1243C4×D4—731no—
1244C4×D4—731no—
1245C4×D4—731no—
1246C4×D4—731no—
1247C4×D4—731no—
1248C4×D4—731no—
1249C4×D4—731no—
1250C4×D4—731no—
1251C4×D4—731no—
1252C4×D4—731no—
1253C4×D4—1461no—
1254C4×D4—1461no—
1255C4×D4—1461no—
1256C4×D4—1461no—
1257C4×D4—1461no—
1258C4×D4—1461no—
1259C4×D4—1461no—
1260C4×D4—1461no—
1261C4×D4—1461no—
1262C4×D4—1461no—
1263C4×D4—1461no—
1264C4×D4—1461no—
1265C4×D4—1461no—
1266C4×D4—1461no—
1267C4×D4—1461no—
1268C4×D4—1461no—
1269C4×D4C22×D7311yescharacteristic
1270C4×D4C22×D7311yescharacteristic
1271C4×D4C22×D7311yescharacteristic
1272C4×D4C22×D7311yescharacteristic
1273C4×D4C22×D7311yescharacteristic
1274#117—731no—
1275#117—731no—
1276#117—731no—
1277#117—731no—
1278#117—731no—
1279#117—1461no—
1280#117—1461no—
1281#117—1461no—
1282#117—1461no—
1283#117—1461no—
1284#117—1461no—
1285#117—1461no—
1286#117—1461no—
1287#117—1461no—
1288#117—1461no—
1289#117—1461no—
1290#117—1461no—
1291#117—1461no—
1292C2×C4⋊C4—21no—
1293C2×C4⋊C4—731no—
1294C2×C4⋊C4—1461no—
1295C2×C22⋊C4—1461no—
1296C2×C22⋊C4—1461no—
1297C2×C22⋊C4—1461no—
1298C2×C22⋊C4—1461no—
1299C2×C22⋊C4—1461no—
1300C2×C22⋊C4—1461no—
1301C2×C22⋊C4—1461no—
1302C2×C22⋊C4—1461no—
1303C2×C22⋊C4—1461no—
1304C2×C42—731no—
1305C2×C42—731no—
1306C2×C42—731no—
1307C2×C42—1461no—
1308C2×C42—1461no—
1309#107—731no—
1310#107—731no—
1311#107C22×D7311yescharacteristic
1312#107C22×D7311yescharacteristic
1313#106—731no—
1314#106—731no—
1315#106—731no—
1316#106C22×D7311yescharacteristic
1317C4⋊C8—731no—
1318C4⋊C8—731no—
1319C4⋊C8—731no—
1320C4⋊C8—731no—
1321C4⋊C8—731no—
1322C4⋊C8—731no—
1323C4⋊C8—731no—
1324C4⋊C8C22×D7311yescharacteristic
1325C4⋊C8C22×D7311yescharacteristic
1326C4⋊C8C22×D7311yescharacteristic
1327#103—731no—
1328#103—731no—
1329#103—731no—
1330#103—731no—
1331#103—731no—
1332#103—731no—
1333#103—731no—
1334#103—731no—
1335#103—731no—
1336#103—731no—
1337#103—731no—
1338#103—731no—
1339#103—731no—
1340#103C22×D7311yescharacteristic
1341#103C22×D7311yescharacteristic
1342#103C22×D7311yescharacteristic
1343#102—731no—
1344#102—731no—
1345#102—731no—
1346#102—731no—
1347#102—731no—
1348#102—731no—
1349#102—731no—
1350#102—731no—
1351#102—731no—
1352#102C22×D7311yescharacteristic
1353#102C22×D7311yescharacteristic
1354#102C22×D7311yescharacteristic
1355#102C22×D7311yescharacteristic
1356#102C22×D7311yescharacteristic
1357#102C22×D7311yescharacteristic
1358#102C22×D7311yescharacteristic
1359C22⋊C8—731no—
1360C22⋊C8—731no—
1361C22⋊C8—731no—
1362C22⋊C8—731no—
1363C22⋊C8—731no—
1364C22⋊C8—731no—
1365#97—731no—
1366#97—731no—
1367#97C22×D7311yescharacteristic
1368#97C22×D7311yescharacteristic
1369C4×C8—731no—
1370C4×C8C22×D7311yescharacteristic
1371C24—1461no—
1372C24—1461no—
1373C24—1461no—
1374#41—2921no—
1375#41—2921no—
1376#41—2922no—
1377#41—2921no—
1378#41—2921no—
1379#41—2921no—
1380#41—2921no—
1381#41—1462no—
1382#41—1462no—
1383C2×Q8—21no—
1384C2×Q8—2921no—
1385C2×Q8—2921no—
1386C2×Q8—2921no—
1387C2×Q8—2921no—
1388C2×Q8—731no—
1389C2×Q8—731no—
1390C2×Q8—731no—
1391C2×Q8—731no—
1392C2×Q8—1461no—
1393C2×Q8—1461no—
1394C2×Q8D4×D7311yescharacteristic
1395C2×Q8C23×D7311yescharacteristic
1396C2×D4—21no—
1397C2×D4—21no—
1398C2×D4—2924no—
1399C2×D4—2921no—
1400C2×D4—2921no—
1401C2×D4—2921no—
1402C2×D4—2921no—
1403C2×D4—2921no—
1404C2×D4—731no—
1405C2×D4—731no—
1406C2×D4—731no—
1407C2×D4—731no—
1408C2×D4—731no—
1409C2×D4—1461no—
1410C2×D4—1461no—
1411C2×D4—1461no—
1412C2×D4—1461no—
1413C2×D4—1461no—
1414C2×D4—1461no—
1415C2×D4—1461no—
1416C2×D4—1461no—
1417C2×D4—1461no—
1418C2×D4—1461no—
1419C2×D4—1462no—
1420C2×D4—1461no—
1421C2×D4—1461no—
1422C2×D4C23×D7311yescharacteristic
1423C2×D4C23×D7311yescharacteristic
1424C2×D4C23×D7311yescharacteristic
1425C22×C4—21no—
1426C22×C4—21no—
1427C22×C4—21no—
1428C22×C4—21no—
1429C22×C4—21no—
1430C22×C4—2924no—
1431C22×C4—731no—
1432C22×C4—731no—
1433C22×C4—731no—
1434C22×C4—731no—
1435C22×C4—731no—
1436C22×C4—731no—
1437C22×C4—731no—
1438C22×C4—731no—
1439C22×C4—731no—
1440C22×C4—1461no—
1441C22×C4—1461no—
1442C22×C4—1461no—
1443C22×C4—1461no—
1444C22×C4—1461no—
1445C22×C4—1461no—
1446C22×C4—1461no—
1447C22×C4—1461no—
1448C22×C4—1461no—
1449C22×C4—1461no—
1450C22×C4—1461no—
1451Q16—2921no—
1452Q16—2921no—
1453Q16—2921no—
1454Q16—2921no—
1455Q16—2921no—
1456Q16—2921no—
1457SD16—22no—
1458SD16—2921no—
1459SD16—2921no—
1460SD16—2921no—
1461SD16—2921no—
1462SD16—2921no—
1463SD16—2921no—
1464SD16—2921no—
1465SD16—2921no—
1466SD16—2921no—
1467SD16—1462no—
1468SD16—1462no—
1469D8—22no—
1470D8—22no—
1471D8—2921no—
1472D8—2921no—
1473D8—2921no—
1474D8—1462no—
1475M16—2921no—
1476M16—2921no—
1477C2×C8—2921no—
1478C2×C8—2921no—
1479C2×C8—2921no—
1480C2×C8—2921no—
1481C2×C8—731no—
1482C2×C8—731no—
1483C2×C8—731no—
1484C2×C8—731no—
1485C2×C8C23×D7311yescharacteristic
1486C2×C8C23×D7311yescharacteristic
1487C2×C8C23×D7311yescharacteristic
1488C2×C8C23×D7311yescharacteristic
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—21no—
1493C4⋊C4—21no—
1494C4⋊C4—21no—
1495C4⋊C4—731no—
1496C4⋊C4—731no—
1497C4⋊C4—731no—
1498C4⋊C4—731no—
1499C4⋊C4—731no—
1500C4⋊C4—1461no—
1501C4⋊C4—1461no—
1502C4⋊C4—1461no—
1503C4⋊C4—1461no—
1504C4⋊C4—1461no—
1505C4⋊C4—1461no—
1506C4⋊C4—1461no—
1507C4⋊C4—1461no—
1508C4⋊C4—1461no—
1509C4⋊C4—1461no—
1510C4⋊C4—1461no—
1511C4⋊C4—1461no—
1512C4⋊C4—1461no—
1513C4⋊C4—1461no—
1514C4⋊C4—1461no—
1515C4⋊C4—1461no—
1516C4⋊C4—1461no—
1517C4⋊C4—1461no—
1518C4⋊C4—1461no—
1519C4⋊C4—1461no—
1520C4⋊C4D4×D7311yescharacteristic
1521C4⋊C4D4×D7311yescharacteristic
1522C4⋊C4D4×D7311yescharacteristic
1523C4⋊C4C23×D7311yescharacteristic
1524C4⋊C4C23×D7311yescharacteristic
1525C4⋊C4C23×D7311yescharacteristic
1526C4⋊C4C23×D7311yescharacteristic
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—21no—
1534C22⋊C4—21no—
1535C22⋊C4—21no—
1536C22⋊C4—731no—
1537C22⋊C4—731no—
1538C22⋊C4—731no—
1539C22⋊C4—731no—
1540C22⋊C4—731no—
1541C22⋊C4—731no—
1542C22⋊C4—1461no—
1543C22⋊C4—1461no—
1544C22⋊C4—1461no—
1545C22⋊C4—1461no—
1546C22⋊C4—1461no—
1547C22⋊C4—1461no—
1548C22⋊C4—1461no—
1549C22⋊C4—1461no—
1550C22⋊C4—1461no—
1551C22⋊C4—1461no—
1552C22⋊C4—1461no—
1553C22⋊C4—1461no—
1554C22⋊C4—1461no—
1555C22⋊C4—1461no—
1556C22⋊C4—1461no—
1557C22⋊C4—1461no—
1558C22⋊C4—1461no—
1559C22⋊C4—1461no—
1560C22⋊C4—1461no—
1561C22⋊C4—1461no—
1562C22⋊C4—1461no—
1563C22⋊C4—1461no—
1564C22⋊C4—1461no—
1565C22⋊C4—1461no—
1566C22⋊C4—1461no—
1567C22⋊C4—1461no—
1568C22⋊C4—1461no—
1569C22⋊C4—1461no—
1570C22⋊C4—1461no—
1571C22⋊C4—1461no—
1572C22⋊C4—1461no—
1573C22⋊C4—1461no—
1574C42—21no—
1575C42—731no—
1576C42—731no—
1577C42—731no—
1578C42—731no—
1579C42—731no—
1580C42—731no—
1581C42—731no—
1582C42—1461no—
1583C42—1461no—
1584C42—1461no—
1585C42—1461no—
1586C42—1461no—
1587C42—1461no—
1588C42—1461no—
1589C42—1461no—
1590C42C23×D7311yescharacteristic
1591C42C23×D7311yescharacteristic
1592C42C23×D7311yescharacteristic
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—2922no—
1597C23—2922no—
1598C23—2922no—
1599C23—2922no—
1600C23—5841no—
1601C23—5841no—
1602C23—5841no—
1603C23—5841no—
1604C23—5841no—
1605C23—731no—
1606C23—731no—
1607C23—731no—
1608C23—1461no—
1609C23—1461no—
1610Q8—21no—
1611Q8—21no—
1612Q8—41no—
1613Q8—81no—
1614Q8—5841no—
1615Q8—5841no—
1616Q8—1461no—
1617Q8—1461no—
1618Q8—1461no—
1619Q8—1461no—
1620Q8—1461no—
1621Q8—1461no—
1622Q8—1461no—
1623Q8—1461no—
1624D4—21no—
1625D4—21no—
1626D4—21no—
1627D4—21no—
1628D4—21no—
1629D4—42no—
1630D4—81no—
1631D4—2921no—
1632D4—2922no—
1633D4—2922no—
1634D4—2922no—
1635D4—2922no—
1636D4—2922no—
1637D4—5841no—
1638D4—5841no—
1639D4—5841no—
1640D4—5841no—
1641D4—5841no—
1642D4—5841no—
1643D4—5841no—
1644D4—1462no—
1645D4—1462no—
1646D4—1461no—
1647D4—1461no—
1648D4—1461no—
1649D4—1461no—
1650D4#1455663712yes—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—42no—
1657C2×C4—81no—
1658C2×C4—81no—
1659C2×C4—81no—
1660C2×C4—81no—
1661C2×C4—2922no—
1662C2×C4—2922no—
1663C2×C4—2921no—
1664C2×C4—2921no—
1665C2×C4—2921no—
1666C2×C4—2921no—
1667C2×C4—2921no—
1668C2×C4—2922no—
1669C2×C4—2922no—
1670C2×C4—2922no—
1671C2×C4—2922no—
1672C2×C4—2922no—
1673C2×C4—5841no—
1674C2×C4—5841no—
1675C2×C4—5841no—
1676C2×C4—5841no—
1677C2×C4—731no—
1678C2×C4—731no—
1679C2×C4—731no—
1680C2×C4—731no—
1681C2×C4—731no—
1682C2×C4—1462no—
1683C2×C4—1461no—
1684C2×C4—1461no—
1685C2×C4—1461no—
1686C2×C4—1461no—
1687C2×C4—1461no—
1688C2×C4—1461no—
1689C2×C4—1461no—
1690C2×C4—1461no—
1691C2×C4—1461no—
1692C2×C4—1461no—
1693C2×C4—1461no—
1694C2×C4—1461no—
1695C2×C4C2×D4×D7311yescharacteristic
1696C2×C4C2×D4×D7311yescharacteristic
1697C2×C4C2×D4×D7311yescharacteristic
1698C2×C4C2×D4×D7311yescharacteristic
1699C2×C4C2×D4×D7311yescharacteristic
1700C2×C4C2×D4×D7311yescharacteristic
1701C2×C4C24×D7311yescharacteristic
1702C8—21no—
1703C8—21no—
1704C8—21no—
1705C8—21no—
1706C8—1461no—
1707C8—1461no—
1708C8—1461no—
1709C8—1461no—
1710C22—22no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—2921no—
1720C22—2921no—
1721C22—2921no—
1722C22—2921no—
1723C22—2921no—
1724C22—2921no—
1725C22—5844no—
1726C22—732no—
1727C22—11682no—
1728C22—11682no—
1729C22—1461no—
1730C22—1461no—
1731C22—1461no—
1732C22—1461no—
1733C22—1461no—
1734C22—1461no—
1735C22—1461no—
1736C22—1461no—
1737C22C22×D4×D7311yescharacteristic
1738C4—21no—
1739C4—21no—
1740C4—21no—
1741C4—21no—
1742C4—21no—
1743C4—21no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—41no—
1748C4—41no—
1749C4—2921no—
1750C4—2921no—
1751C4—2921no—
1752C4—2921no—
1753C4—2921no—
1754C4—2921no—
1755C4—1461no—
1756C4—1461no—
1757C4—1461no—
1758C4—1461no—
1759C4—1461no—
1760C4C2×#1455663711yescharacteristic
1761C4#1798942411yescharacteristic
1762C2—42no—
1763C2—81no—
1764C2—81no—
1765C2—2921no—
1766C2—2921no—
1767C2—5841no—
1768C2—5841no—
1769C2—1462no—
1770C2#2262359711yescharacteristic
1771C2#575×D7311yescharacteristic
1772C2#2262469911yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3370C2
socleC22×C73C23×D4
hypercenter#3370D73
hypocenterC73#61990
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3370

Complements

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

NH ≅ G/Ntype
1. #22623891C2semidirect
2. #22623497C2semidirect
3. #22623012C2semidirect
4. #22622991C2semidirect
5. #22622758C2semidirect
6. #22622116C2semidirect
7. #22622084C2semidirect
8. #22621979C2semidirect
9. #22621951C2semidirect
10. #22621817C2semidirect
11. #22621763C2semidirect
12. #22621644C2semidirect
13. #22621617C2semidirect
14. #22621492C2semidirect
15. #22621458C2semidirect
16. #22621443C2semidirect
17. #22621406C2semidirect
18. #22621331C2semidirect
19. #22621285C2semidirect
20. #22621270C2semidirect
21. #22620969C2semidirect
22. #22620935C2semidirect
23. #22620897C2semidirect
24. #22620067C2semidirect
25. #22620044C2semidirect
26. #22619945C2semidirect
27. #22619420C2semidirect
28. #22619379C2semidirect
29. #463×D73C2semidirect
30. #22619055C2semidirect
31. C73×#3370C2semidirect
32. C2×#14556620C22semidirect
34. C2×#14556610C22semidirect
35. C2×#14556610C22semidirect
36. C2×SD16×D73C22semidirect
38. #17989310C22semidirect
39. #17989310C22semidirect
40. #17989303C22semidirect
45. #17989275C22semidirect
52. #17989245C22semidirect
53. #17989241C22semidirect
56. #17989232C22semidirect
57. #17989232C22semidirect
63. #17989142C22semidirect
64. #17989135C22semidirect
65. #17989124C22semidirect
68. #17989122C22semidirect
69. #17989122C22semidirect
71. #17989119C22semidirect
73. #124×D73C22semidirect
77. C4×#11924027C22semidirect
78. C4×#11924027C22semidirect
79. C4×D4×D73C22semidirect
81. #17988982C22semidirect
82. #17988981C22semidirect
83. #17988981C22semidirect
86. #17988969C22semidirect
87. #17988957C22semidirect
88. #17988949C22semidirect
89. #17988944C22semidirect
90. #17988930C22semidirect
91. #17988927C22semidirect
92. #17988919C22semidirect
93. #17988914C22semidirect
94. #17988909C22semidirect
96. #17988893C22semidirect
97. #17988893C22semidirect
98. #17988891C22semidirect
99. #17988886C22semidirect
100. #17988885C22semidirect
101. #17988884C22semidirect
102. #17988869C22semidirect
103. #17988846C22semidirect
105. #17988834C22semidirect
106. #17988832C22semidirect
107. #17988829C22semidirect
108. #17988829C22semidirect
109. #17988827C22semidirect
111. #17988819C22semidirect
112. #17988817C22semidirect
115. #17988812C22semidirect
116. #17988812C22semidirect
117. #17988810C22semidirect
118. #17988810C22semidirect
119. #17988809C22semidirect
120. #17988808C22semidirect
121. #17988808C22semidirect
122. #17988808C22semidirect
123. #17988808C22semidirect
124. #17988806C22semidirect
131. #17988802C22semidirect
132. #17988801C22semidirect
133. #17988801C22semidirect
134. #17988800C22semidirect
135. #17988800C22semidirect
136. #17988799C22semidirect
137. #17988798C22semidirect
138. #17988798C22semidirect
139. #17988792C22semidirect
140. #17988792C22semidirect
141. #17988784C22semidirect
142. #17988750C22semidirect
143. #17988750C22semidirect
144. #17988750C22semidirect
145. #17988746C22semidirect
146. #17988744C22semidirect
147. #17988744C22semidirect
148. #17988744C22semidirect
151. #17988739C22semidirect
152. #17988739C22semidirect
154. #17988733C22semidirect
155. #17988733C22semidirect
157. #17988727C22semidirect
160. #17988718C22semidirect
162. #17988697C22semidirect
163. #17988692C22semidirect
164. #17988689C22semidirect
165. #17988689C22semidirect
166. #17988687C22semidirect
167. C4×Dic292C22semidirect
168. C4×#11924016C22semidirect
169. C4×#11924016C22semidirect
171. #17988660C22semidirect
173. #17988657C22semidirect
174. C8×D292C22semidirect
175. #17988652C22semidirect
176. #17988642C22semidirect
177. #17988642C22semidirect
178. #17988638C22semidirect
179. #17988609C22semidirect
180. C4⋊C8×D73C22semidirect
181. C4⋊C8×D73C22semidirect
182. #17988594C22semidirect
183. #17988590C22semidirect
184. #17988580C22semidirect
185. #17988580C22semidirect
186. #103×D73C22semidirect
188. #559×C73C22semidirect
189. #554×C73C22semidirect
190. #490×C73C22semidirect
191. #489×C73C22semidirect
192. #488×C73C22semidirect
193. #479×C73C22semidirect
194. #478×C73C22semidirect
195. #474×C73C22semidirect
196. #463×C73C22semidirect
197. #463×C73C22semidirect
199. #446×C73C22semidirect
200. #442×C73C22semidirect
201. #440×C73C22semidirect
202. C4×D8×C73C22semidirect
892. #3370D73semidirect
918. C73#61990semidirect
925. #559C2×D73semidirect
930. #554C2×D73semidirect
977. #490C2×D73semidirect
979. #489C2×D73semidirect
981. #488C2×D73semidirect
991. #479C2×D73semidirect
995. #478C2×D73semidirect
997. #474C2×D73semidirect
1032. #463C2×D73semidirect
1033. #463C2×D73semidirect
1059. #446C2×D73semidirect
1062. #442C2×D73semidirect
1067. #440C2×D73semidirect
1071. C4×D8C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226238912
#226234972
#226230122
#226229912
#226227582
#226221162
#226220842
#226219792
#226219512
#226218172
#226217632
#226216442
#226216172
#226214922
#226214582
#226214432
#226214062
#226213312
#226212852
#226212702
#226209692
#226209352
#226208972
#226200672
#226200442
#226199452
#226194202
#226193792
#463×D732
#226190552
C73×#33702
#6199073