Finite Group Databasebeta

← #3343×D73 #33964507

Subgroups — #3343×D73 #33964507

Order 18688.

2094 conjugacy classes of subgroups.

The subgroup lattice has 1738 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#552×D73C211yesmaximal, characteristic, complemented
2#547×D73C211yesmaximal, characteristic
3#22622378C211yesmaximal, characteristic, complemented
4#22622377C211yesmaximal, characteristic, complemented
5#22622376C211yesmaximal, characteristic, complemented
6#22622375C211yesmaximal, characteristic, complemented
7#22622374C211yesmaximal, characteristic, complemented
8#22622373C211yesmaximal, characteristic, complemented
9#22622372C211yesmaximal, characteristic, complemented
10#22622371C211yesmaximal, characteristic, complemented
11#22622370C211yesmaximal, characteristic, complemented
12#22622369C211yesmaximal, characteristic, complemented
13#22622368C211yesmaximal, characteristic, complemented
14#22622367C211yesmaximal, characteristic, complemented
15#22622366C211yesmaximal, characteristic, complemented
16#22622365C211yesmaximal, characteristic, complemented
17#22622364C211yesmaximal, characteristic, complemented
18#501×D73C211yesmaximal, characteristic, complemented
19#484×D73C211yesmaximal, characteristic, complemented
20#482×D73C211yesmaximal, characteristic, complemented
21#483×D73C211yesmaximal, characteristic, complemented
22#480×D73C211yesmaximal, characteristic, complemented
23#477×D73C211yesmaximal, characteristic, complemented
24#478×D73C211yesmaximal, characteristic, complemented
25#468×D73C211yesmaximal, characteristic, complemented
26#465×D73C211yesmaximal, characteristic, complemented
27#440×D73C211yesmaximal, characteristic, complemented
28#435×D73C211yesmaximal, characteristic, complemented
29#428×D73C211yesmaximal, characteristic, complemented
30C2×#107×D73C211yesmaximal, characteristic, complemented
31C73×#3343C211yesmaximal, characteristic, complemented
32C2×#41×D73—21no—
33C2×SD16×D73C2211yescharacteristic
34C2×M16×D73C2211yescharacteristic
35C22×C8×D73C2211yescharacteristic
36#17989279C2211yescharacteristic, complemented
37#17989278C2211yescharacteristic, complemented
38#17989277C2211yescharacteristic, complemented
39#17989276C2211yescharacteristic, complemented
40#17989275C2211yescharacteristic, complemented
41#17989274—21no—
42#17989273—21no—
43#17989272C2211yescharacteristic, complemented
44#17989271C2211yescharacteristic, complemented
45#17989270—21no—
46#17989269—21no—
47#17989242C2211yescharacteristic
48#17989241C2211yescharacteristic
49#17989240C2211yescharacteristic
50#17989239—21no—
51#17989238C2211yescharacteristic
52#17989238C2211yescharacteristic
53#17989237C2211yescharacteristic
54#17989237C2211yescharacteristic
55#17989236—21no—
56#17989235—21no—
57#17989235—21no—
58C4⋊Q8×D73C2211yescharacteristic
59#126×D73—21no—
60#125×D73—21no—
61#125×D73C2211yescharacteristic
62#123×D73—21no—
63#123×D73—21no—
64#123×D73—21no—
65C22⋊Q8×D73—21no—
66C22⋊Q8×D73C2211yescharacteristic
67C22⋊Q8×D73C2211yescharacteristic
68#121×D73C2211yescharacteristic
69#121×D73C2211yescharacteristic
70C4×Q8×D73C2211yescharacteristic
71C4×D4×D73C2211yescharacteristic
72C4×D4×D73C2211yescharacteristic
73#117×D73—21no—
74#117×D73C2211yescharacteristic
75C2×C4⋊C4×D73C2211yescharacteristic
76C2×C4⋊C4×D73C2211yescharacteristic
77C2×C4⋊C4×D73C2211yescharacteristic
78#17988997C2211yescharacteristic, complemented
79#17988996C2211yescharacteristic, complemented
80#17988995C2211yescharacteristic, complemented
81#17988995C2211yescharacteristic, complemented
82#17988994C2211yescharacteristic, complemented
83#17988994C2211yescharacteristic, complemented
84#17988993C2211yescharacteristic, complemented
85#17988924C2211yescharacteristic, complemented
86#17988924C2211yescharacteristic, complemented
87#17988923C2211yescharacteristic, complemented
88#17988922C2211yescharacteristic, complemented
89#17988921C2211yescharacteristic, complemented
90#17988921C2211yescharacteristic, complemented
91#17988920C2211yescharacteristic, complemented
92#17988919C2211yescharacteristic, complemented
93#17988919C2211yescharacteristic, complemented
94#17988918C2211yescharacteristic, complemented
95#17988917C2211yescharacteristic, complemented
96#17988916C2211yescharacteristic, complemented
97#17988916C2211yescharacteristic, complemented
98#17988915C2211yescharacteristic, complemented
99#17988914C2211yescharacteristic, complemented
100#17988913C2211yescharacteristic, complemented
101#17988912C2211yescharacteristic, complemented
102#17988911C2211yescharacteristic, complemented
103#17988910C2211yescharacteristic, complemented
104#17988909C2211yescharacteristic, complemented
105#17988908C2211yescharacteristic, complemented
106#17988902C2211yescharacteristic, complemented
107#17988902C2211yescharacteristic, complemented
108#17988901C2211yescharacteristic, complemented
109#17988900C2211yescharacteristic, complemented
110#17988899C2211yescharacteristic, complemented
111#17988899C2211yescharacteristic, complemented
112#17988898C2211yescharacteristic, complemented
113#17988890C2211yescharacteristic, complemented
114#17988889C2211yescharacteristic, complemented
115#17988888C2211yescharacteristic, complemented
116#17988887C2211yescharacteristic, complemented
117#17988886C2211yescharacteristic, complemented
118#17988885C2211yescharacteristic, complemented
119#17988884C2211yescharacteristic, complemented
120#17988883C2211yescharacteristic, complemented
121#17988882C2211yescharacteristic, complemented
122#17988881C2211yescharacteristic, complemented
123#17988881C2211yescharacteristic, complemented
124#17988880C2211yescharacteristic, complemented
125#17988880C2211yescharacteristic, complemented
126#17988879C2211yescharacteristic, complemented
127#17988836C2211yescharacteristic, complemented
128#17988835C2211yescharacteristic, complemented
129#17988834C2211yescharacteristic, complemented
130#17988833C2211yescharacteristic, complemented
131#17988832C2211yescharacteristic, complemented
132#17988831C2211yescharacteristic, complemented
133#17988830C2211yescharacteristic, complemented
134#17988819C2211yescharacteristic, complemented
135#17988818C2211yescharacteristic, complemented
136#17988817C2211yescharacteristic, complemented
137#17988816C2211yescharacteristic, complemented
138#17988815C2211yescharacteristic, complemented
139#17988814C2211yescharacteristic, complemented
140#17988813C2211yescharacteristic, complemented
141#17988690C2211yescharacteristic, complemented
142#17988689C2211yescharacteristic, complemented
143#17988688C2211yescharacteristic, complemented
144#17988687C2211yescharacteristic, complemented
145#17988686C2211yescharacteristic, complemented
146#17988685C2211yescharacteristic, complemented
147#17988684C2211yescharacteristic, complemented
148#17988661C2211yescharacteristic, complemented
149#17988660C2211yescharacteristic, complemented
150#17988659C2211yescharacteristic, complemented
151#17988658C2211yescharacteristic, complemented
152#17988657C2211yescharacteristic, complemented
153#17988656C2211yescharacteristic, complemented
154#17988655C2211yescharacteristic, complemented
155#17988630C2211yescharacteristic, complemented
156#17988629C2211yescharacteristic, complemented
157#17988628C2211yescharacteristic, complemented
158#17988628C2211yescharacteristic, complemented
159#17988627C2211yescharacteristic, complemented
160#17988626C2211yescharacteristic, complemented
161#17988626C2211yescharacteristic, complemented
162C2×#14556525C2211yescharacteristic, complemented
163C2×#14556524C2211yescharacteristic, complemented
164C2×#14556524C2211yescharacteristic, complemented
165#107×D73C2211yescharacteristic
166#107×D73C2211yescharacteristic
167#107×D73C2211yescharacteristic
168#107×D73C2211yescharacteristic
169#107×D73C2211yescharacteristic
170#107×D73C2211yescharacteristic
171#107×D73C2211yescharacteristic, complemented
172#107×D73C2211yescharacteristic, complemented
173#107×D73C2211yescharacteristic, complemented
174#107×D73C2211yescharacteristic, complemented
175#106×D73C2211yescharacteristic
176#106×D73C2211yescharacteristic
177#106×D73C2211yescharacteristic
178C4⋊C8×D73C2211yescharacteristic
179#103×D73C2211yescharacteristic
180#103×D73C2211yescharacteristic
181#103×D73C2211yescharacteristic
182#102×D73C2211yescharacteristic
183#102×D73C2211yescharacteristic
184#102×D73C2211yescharacteristic
185C22⋊C8×D73C2211yescharacteristic
186C22⋊C8×D73C2211yescharacteristic
187#97×D73C2211yescharacteristic
188#552×C73C2211yescharacteristic, complemented
189#547×C73C2211yescharacteristic
190#501×C73C2211yescharacteristic, complemented
191#484×C73C2211yescharacteristic, complemented
192#483×C73C2211yescharacteristic, complemented
193#482×C73C2211yescharacteristic, complemented
194#480×C73C2211yescharacteristic, complemented
195#478×C73C2211yescharacteristic, complemented
196#477×C73C2211yescharacteristic, complemented
197#468×C73C2211yescharacteristic, complemented
198#465×C73C2211yescharacteristic, complemented
199#440×C73C2211yescharacteristic, complemented
200#435×C73C2211yescharacteristic, complemented
201#428×C73C2211yescharacteristic, complemented
202C2×#107×C73C2211yescharacteristic, complemented
203C2×#11924029—21no—
204C2×#11924028—21no—
205C2×#11924028—21no—
206C2×#11924028—21no—
207C2×#11924027—21no—
208C2×#11924027—21no—
209C2×#11924027—21no—
210#41×D73—48no—
211C2×Q8×D73—21no—
212C2×Q8×D73C2311yescharacteristic
213C2×D4×D73—21no—
214C2×D4×D73—21no—
215C2×D4×D73D411yescharacteristic
216C2×D4×D73C2311yescharacteristic
217C22×C4×D73—21no—
218C22×C4×D73—21no—
219C22×C4×D73—21no—
220C22×C4×D73—21no—
221C22×C4×D73C2311yescharacteristic
222C22×C4×D73C2311yescharacteristic
223C2×#11924017C2311yescharacteristic
224C2×#11924016C2311yescharacteristic
225C2×#11924015C2311yescharacteristic
226SD16×D73—24no—
227C2×#11924012C2311yescharacteristic
228C2×#11924011C2311yescharacteristic
229C2×#11924011C2311yescharacteristic
230M16×D73—24no—
231C22×#10596831C2311yescharacteristic
232C2×C8×D73—24no—
233C2×C8×D73C2311yescharacteristic
234C2×C8×D73C2311yescharacteristic
235C2×C8×D73C2311yescharacteristic
236C2×C8×D73C2311yescharacteristic
237C2×C8×D73C2311yescharacteristic
238C2×C8×D73C2311yescharacteristic
239#14556591C2311yescharacteristic
240#14556590—21no—
241#14556590C2311yescharacteristic
242#14556590C2311yescharacteristic
243#14556589—21no—
244#14556586—21no—
245#14556586—21no—
246#14556586—21no—
247#14556585—21no—
248#14556584—21no—
249#14556584—21no—
250#14556584—21no—
251#14556583—21no—
252#14556583C2311yescharacteristic
253#14556582—21no—
254#14556582—21no—
255#14556582C2311yescharacteristic
256#14556582C2311yescharacteristic
257#14556581—21no—
258#14556581—21no—
259#14556581—21no—
260#14556581—21no—
261#14556581—21no—
262#14556581—21no—
263#14556576—21no—
264#14556576—21no—
265#14556576—21no—
266#14556576—21no—
267#14556576—21no—
268#14556576—21no—
269#14556575—21no—
270#14556575—21no—
271#14556575—21no—
272#14556574—21no—
273#14556574—21no—
274#14556574—21no—
275#14556573—21no—
276#14556573—21no—
277#14556573—21no—
278#14556573—21no—
279#14556573—21no—
280#14556573—21no—
281#14556572—21no—
282#14556572—21no—
283#14556572—21no—
284#14556571—21no—
285#14556571C2311yescharacteristic
286#14556571C2311yescharacteristic
287#14556570—21no—
288#14556570C2311yescharacteristic
289#14556570C2311yescharacteristic
290#14556569—21no—
291#14556569—21no—
292#14556569—21no—
293#14556569—21no—
294#14556568—21no—
295#14556568—21no—
296#14556568—21no—
297#14556568—21no—
298#14556567—21no—
299#14556567C2311yescharacteristic
300#14556567C2311yescharacteristic
301#14556566C2311yescharacteristic
302#14556566C2311yescharacteristic
303#14556565C2311yescharacteristic
304#14556565C2311yescharacteristic
305#14556564—21no—
306#14556564—21no—
307#14556563—21no—
308#14556563—21no—
309#14556562C2311yescharacteristic
310#14556562C2311yescharacteristic
311Q8×Dic73C2311yescharacteristic
312C4×Dic146—21no—
313C4×Dic146C2311yescharacteristic
314#14556556—21no—
315#14556556C2311yescharacteristic
316C4×D292C2311yescharacteristic
317C4×D292C2311yescharacteristic
318D4×Dic73D411yescharacteristic
319D4×Dic73C2311yescharacteristic
320#14556553D411yescharacteristic
321#14556553C2311yescharacteristic
322C4×C22⋊D73—21no—
323C4×C22⋊D73C2311yescharacteristic
324C4×C22⋊D73C2311yescharacteristic
325#14556551—21no—
326#14556551D411yescharacteristic
327#14556551D411yescharacteristic
328#14556550—21no—
329#14556550C2311yescharacteristic
330#14556549—21no—
331#14556549—21no—
332#14556549C2311yescharacteristic
333#14556549C2311yescharacteristic
334#14556548—21no—
335#14556548—21no—
336#14556548—21no—
337#14556547—21no—
338#14556547—21no—
339#14556547—21no—
340C2×C4⋊Dic73C2311yescharacteristic
341C2×C4⋊Dic73C2311yescharacteristic
342C2×C4⋊Dic73C2311yescharacteristic
343C2×#11924007—21no—
344C2×#11924007—21no—
345C2×#11924007—21no—
346C4⋊C4×D73—21no—
347C4⋊C4×D73—21no—
348C4⋊C4×D73—21no—
349C4⋊C4×D73—21no—
350C4⋊C4×D73—21no—
351C4⋊C4×D73—21no—
352C4⋊C4×D73—21no—
353C4⋊C4×D73—21no—
354C4⋊C4×D73—21no—
355C4⋊C4×D73—21no—
356C4⋊C4×D73—21no—
357C4⋊C4×D73—21no—
358C4⋊C4×D73D411yescharacteristic
359C4⋊C4×D73C2311yescharacteristic
360C4⋊C4×D73C2311yescharacteristic
361C4⋊C4×D73C2311yescharacteristic
362C4⋊C4×D73C2311yescharacteristic
363C4⋊C4×D73C2311yescharacteristic
364C4⋊C4×D73C2311yescharacteristic
365C4⋊C4×D73C2311yescharacteristic
366C4⋊C4×D73C2311yescharacteristic
367C4⋊C4×D73C2311yescharacteristic
368C4⋊C4×D73C2311yescharacteristic
369C4⋊C4×D73C2311yescharacteristic
370C4⋊C4×D73C2311yescharacteristic
371C22⋊C4×D73—21no—
372C22⋊C4×D73—21no—
373C22⋊C4×D73—21no—
374C22⋊C4×D73—21no—
375C22⋊C4×D73—21no—
376C22⋊C4×D73—21no—
377C22⋊C4×D73D411yescharacteristic
378C22⋊C4×D73D411yescharacteristic
379C42×D73—21no—
380C42×D73—21no—
381C42×D73C2311yescharacteristic
382#14556525C2311yescharacteristic
383#14556525C2311yescharacteristic
384#14556525C2311yescharacteristic
385#14556525C2311yescharacteristic
386#14556525C2311yescharacteristic
387#14556525C2311yescharacteristic
388#14556524C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556524C2311yescharacteristic
391#14556524C2311yescharacteristic
392#14556524C2311yescharacteristic
393#14556524C2311yescharacteristic
394#14556524C2311yescharacteristic
395#14556524C2311yescharacteristic
396#14556524C2311yescharacteristic
397#14556524C2311yescharacteristic
398#14556524C2311yescharacteristic
399#14556524C2311yescharacteristic
400#14556523C2311yescharacteristic
401#14556523C2311yescharacteristic
402#14556523C2311yescharacteristic
403#14556522C2311yescharacteristic
404#14556522C2311yescharacteristic
405#14556522C2311yescharacteristic
406#14556522C2311yescharacteristic
407#14556522C2311yescharacteristic
408#14556522C2311yescharacteristic
409C4⋊#10596831C2311yescharacteristic
410#14556520C2311yescharacteristic
411#14556520C2311yescharacteristic
412#14556516C2311yescharacteristic
413#14556516C2311yescharacteristic
414#14556516C2311yescharacteristic
415#14556515C2311yescharacteristic
416#14556515C2311yescharacteristic
417#14556515C2311yescharacteristic
418#14556514C2311yescharacteristic
419#14556514C2311yescharacteristic
420#14556514C2311yescharacteristic
421#14556513C2311yescharacteristic
422#14556513C2311yescharacteristic
423#14556513C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556512C2311yescharacteristic
427#14556511C2311yescharacteristic
428#14556511C2311yescharacteristic
429#14556511C2311yescharacteristic
430C22⋊#10596831C2311yescharacteristic
431C22⋊#10596831C2311yescharacteristic
432#14556503C2311yescharacteristic
433#14556503C2311yescharacteristic
434#14556503C2311yescharacteristic
435#14556503C2311yescharacteristic
436#14556502C2311yescharacteristic
437#14556501C2311yescharacteristic
438#14556501C2311yescharacteristic
439C2×#41×C73—21no—
440C2×SD16×C73C2311yescharacteristic
441C2×M16×C73C2311yescharacteristic
442C22×C8×C73C2311yescharacteristic
443C4⋊Q8×C73C2311yescharacteristic
444#126×C73—21no—
445#125×C73—21no—
446#125×C73C2311yescharacteristic
447#123×C73—21no—
448#123×C73—21no—
449#123×C73—21no—
450C22⋊Q8×C73—21no—
451C22⋊Q8×C73C2311yescharacteristic
452C22⋊Q8×C73C2311yescharacteristic
453#121×C73C2311yescharacteristic
454#121×C73C2311yescharacteristic
455C4×Q8×C73C2311yescharacteristic
456C4×D4×C73C2311yescharacteristic
457C4×D4×C73C2311yescharacteristic
458#117×C73—21no—
459#117×C73C2311yescharacteristic
460C2×C4⋊C4×C73C2311yescharacteristic
461C2×C4⋊C4×C73C2311yescharacteristic
462C2×C4⋊C4×C73C2311yescharacteristic
463#107×C73C2311yescharacteristic
464#107×C73C2311yescharacteristic
465#107×C73C2311yescharacteristic
466#107×C73C2311yescharacteristic
467#107×C73C2311yescharacteristic
468#107×C73C2311yescharacteristic
469#106×C73C2311yescharacteristic
470#106×C73C2311yescharacteristic
471#106×C73C2311yescharacteristic
472C4⋊C8×C73C2311yescharacteristic
473#103×C73C2311yescharacteristic
474#103×C73C2311yescharacteristic
475#103×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478#102×C73C2311yescharacteristic
479C22⋊C8×C73C2311yescharacteristic
480C22⋊C8×C73C2311yescharacteristic
481#97×C73C2311yescharacteristic
482C23×D73—21no—
483C23×D73C2×D411yescharacteristic
484C23×D73C2×D411yescharacteristic
485#11924029—44no—
486#11924028—44no—
487#11924028—44no—
488#11924028—44no—
489#11924027—44no—
490#11924027—44no—
491#11924027—44no—
492C2×Dic146—21no—
493C2×Dic146—21no—
494C2×Dic146—21no—
495C2×Dic146—21no—
496C2×Dic146C2411yescharacteristic
497Q8×D73—22no—
498Q8×D73—22no—
499Q8×D73—44no—
500C2×D292—21no—
501C2×D292—21no—
502C2×D292C2×D411yescharacteristic
503C2×D292C2411yescharacteristic
504C2×C22⋊D73—21no—
505C2×C22⋊D73—21no—
506C2×C22⋊D73—21no—
507C2×C22⋊D73—21no—
508C2×C22⋊D73—21no—
509C2×C22⋊D73C2×D411yescharacteristic
510C2×C22⋊D73C2×D411yescharacteristic
511D4×D73—24no—
512D4×D73—22no—
513D4×D73—22no—
514D4×D73—44no—
515D4×D73—44no—
516C22×Dic73—21no—
517C22×Dic73—21no—
518C22×Dic73—21no—
519C22×Dic73—21no—
520C22×Dic73C2×D411yescharacteristic
521C22×Dic73C2×D411yescharacteristic
522C2×C4×D73—22no—
523C2×C4×D73—22no—
524C2×C4×D73—22no—
525C2×C4×D73—22no—
526C2×C4×D73—21no—
527C2×C4×D73—21no—
528C2×C4×D73—21no—
529C2×C4×D73—21no—
530C2×C4×D73—21no—
531C2×C4×D73—21no—
532C2×C4×D73—21no—
533C2×C4×D73—21no—
534C2×C4×D73—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×D73—44no—
543C2×C4×D73—44no—
544C2×C4×D73—44no—
545C2×C4×D73C2×D411yescharacteristic
546C2×C4×D73C2×D411yescharacteristic
547C2×C4×D73C2×D411yescharacteristic
548C2×C4×D73C2×D411yescharacteristic
549C2×C4×D73C2×D411yescharacteristic
550C2×C4×D73C2×D411yescharacteristic
551C2×C4×D73C2411yescharacteristic
552C2×C4×D73C2411yescharacteristic
553C2×C4×D73C2411yescharacteristic
554#11924017—22no—
555#11924016—22no—
556#11924015—22no—
557#11924012—22no—
558#11924011—22no—
559#11924011—22no—
560C2×#10596831—22no—
561C2×#10596831C2411yescharacteristic
562C2×#10596831C2411yescharacteristic
563C2×#10596831C2411yescharacteristic
564C2×#10596831C2411yescharacteristic
565C8×D73—22no—
566C8×D73—22no—
567C8×D73—22no—
568C8×D73—22no—
569C8×D73—22no—
570C8×D73#4114yescomplemented
571C4⋊Dic73—21no—
572C4⋊Dic73—21no—
573C4⋊Dic73—21no—
574C4⋊Dic73—21no—
575C4⋊Dic73—21no—
576C4⋊Dic73—21no—
577C4⋊Dic73—21no—
578C4⋊Dic73—21no—
579C4⋊Dic73—21no—
580C4⋊Dic73C2×D411yescharacteristic
581C4⋊Dic73C2411yescharacteristic
582C4⋊Dic73C2411yescharacteristic
583C4⋊Dic73C2411yescharacteristic
584C4⋊Dic73C2411yescharacteristic
585C4⋊Dic73C2411yescharacteristic
586C4⋊Dic73C2411yescharacteristic
587#11924007—21no—
588#11924007—21no—
589#11924007—21no—
590#11924007—21no—
591#11924007—21no—
592#11924007—21no—
593#11924007—21no—
594#11924007—21no—
595#11924007—21no—
596#11924007—21no—
597#11924007—21no—
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—
607#11924007—21no—
608#11924007—21no—
609#11924007—21no—
610#11924007—21no—
611#11924007C2×D411yescharacteristic
612#11924007C2×D411yescharacteristic
613C22⋊Dic73—21no—
614C22⋊Dic73—21no—
615C22⋊Dic73—21no—
616C22⋊Dic73—21no—
617C22⋊Dic73—21no—
618C22⋊Dic73—21no—
619C22⋊Dic73C2×D411yescharacteristic
620C22⋊Dic73C2×D411yescharacteristic
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#11924005C2×D411yescharacteristic
634#11924005C2×D411yescharacteristic
635#11924005C2×D411yescharacteristic
636#11924005C2×D411yescharacteristic
637C4×Dic73—21no—
638C4×Dic73—21no—
639C4×Dic73—21no—
640C4×Dic73—21no—
641C4×Dic73—21no—
642C4×Dic73—21no—
643C4×Dic73C2×D411yescharacteristic
644C4×Dic73C2×D411yescharacteristic
645C4×Dic73C2411yescharacteristic
646#41×C73—44no—
647C2×Q8×C73—21no—
648C2×Q8×C73C2411yescharacteristic
649C2×D4×C73—21no—
650C2×D4×C73—21no—
651C2×D4×C73C2×D411yescharacteristic
652C2×D4×C73C2411yescharacteristic
653C22×C4×C73—21no—
654C22×C4×C73—21no—
655C22×C4×C73—21no—
656C22×C4×C73—21no—
657C22×C4×C73C2411yescharacteristic
658C22×C4×C73C2411yescharacteristic
659SD16×C73—22no—
660M16×C73—22no—
661C2×C8×C73—22no—
662C2×C8×C73C2411yescharacteristic
663C2×C8×C73C2411yescharacteristic
664C2×C8×C73C2411yescharacteristic
665C2×C8×C73C2411yescharacteristic
666C4⋊C4×C73—21no—
667C4⋊C4×C73—21no—
668C4⋊C4×C73—21no—
669C4⋊C4×C73—21no—
670C4⋊C4×C73—21no—
671C4⋊C4×C73—21no—
672C4⋊C4×C73—21no—
673C4⋊C4×C73—21no—
674C4⋊C4×C73—21no—
675C4⋊C4×C73C2×D411yescharacteristic
676C4⋊C4×C73C2411yescharacteristic
677C4⋊C4×C73C2411yescharacteristic
678C4⋊C4×C73C2411yescharacteristic
679C4⋊C4×C73C2411yescharacteristic
680C4⋊C4×C73C2411yescharacteristic
681C4⋊C4×C73C2411yescharacteristic
682C22⋊C4×C73—21no—
683C22⋊C4×C73—21no—
684C22⋊C4×C73—21no—
685C22⋊C4×C73—21no—
686C22⋊C4×C73—21no—
687C22⋊C4×C73—21no—
688C22⋊C4×C73C2×D411yescharacteristic
689C22⋊C4×C73C2×D411yescharacteristic
690C42×C73—21no—
691C42×C73—21no—
692C42×C73C2411yescharacteristic
693C23×C73—21no—
694C23×C73C22×D411yescharacteristic
695C23×C73C22×D411yescharacteristic
696C22×D73—22no—
697C22×D73—22no—
698C22×D73—22no—
699C22×D73—22no—
700C22×D73—22no—
701C22×D73—21no—
702C22×D73—42no—
703C22×D73—42no—
704C22×D73—42no—
705C22×D73AGL(1,ℤ/8)14yes—
706C22×D73C22×D411yescharacteristic
707C22×D73C22×D411yescharacteristic
708C22×D73C22×D411yescharacteristic
709Q8×C73—21no—
710Q8×C73—21no—
711Q8×C73—42no—
712D4×C73—22no—
713D4×C73—21no—
714D4×C73—21no—
715D4×C73—42no—
716D4×C73—42no—
717C2×C4×C73—21no—
718C2×C4×C73—21no—
719C2×C4×C73—21no—
720C2×C4×C73—21no—
721C2×C4×C73—21no—
722C2×C4×C73—21no—
723C2×C4×C73—21no—
724C2×C4×C73—21no—
725C2×C4×C73—21no—
726C2×C4×C73—21no—
727C2×C4×C73—21no—
728C2×C4×C73—42no—
729C2×C4×C73—42no—
730C2×C4×C73—42no—
731C2×C4×C73—42no—
732C2×C4×C73C22×D411yescharacteristic
733C2×C4×C73C22×D411yescharacteristic
734C2×C4×C73C22×D411yescharacteristic
735C2×C4×C73C22×D411yescharacteristic
736C2×C4×C73C2511yescharacteristic
737C22⋊D73—22no—
738C22⋊D73—22no—
739C22⋊D73—42no—
740C22⋊D73—42no—
741C22⋊D73—42no—
742C22⋊D73—42no—
743C22⋊D73—42no—
744C2×Dic73—22no—
745C2×Dic73—22no—
746C2×Dic73—21no—
747C2×Dic73—21no—
748C2×Dic73—21no—
749C2×Dic73—21no—
750C2×Dic73—21no—
751C2×Dic73—21no—
752C2×Dic73—21no—
753C2×Dic73—42no—
754C2×Dic73—42no—
755C2×Dic73—42no—
756C2×Dic73—42no—
757C2×Dic73C22×D411yescharacteristic
758C2×Dic73C22×D411yescharacteristic
759C2×Dic73C22×D411yescharacteristic
760C2×Dic73C22×D411yescharacteristic
761C2×Dic73C22×D411yescharacteristic
762D292—22no—
763D292—21no—
764D292—21no—
765D292—42no—
766D292—42no—
767C4×D73—22no—
768C4×D73—22no—
769C4×D73—22no—
770C4×D73—22no—
771C4×D73—21no—
772C4×D73—21no—
773C4×D73—21no—
774C4×D73—21no—
775C4×D73—22no—
776C4×D73—22no—
777C4×D73—42no—
778C4×D73—42no—
779C4×D73—42no—
780C4×D73—42no—
781C4×D73—42no—
782C4×D73—42no—
783C4×D73—42no—
784C4×D73—42no—
785C4×D73—42no—
786C4×D73—42no—
787C4×D73—42no—
788C4×D73—42no—
789C4×D73—42no—
790C4×D73—42no—
791C4×D73—42no—
792C4×D73C2×#4112yes—
793C4×D732−1+412yes—
794Dic146—21no—
795Dic146—21no—
796Dic146—42no—
797Dic146—42no—
798Dic146—42no—
799Dic146—42no—
800C8×C73—21no—
801C8×C73—21no—
802C8×C73—21no—
803C8×C73C2×#4112yescomplemented
804#10596831—21no—
805#10596831—21no—
806#10596831—21no—
807#10596831C2×#4112yescomplemented
808C22×C73—21no—
809C22×C73—21no—
810C22×C73—21no—
811C22×C73—21no—
812C22×C73—21no—
813C22×C73—41no—
814C22×C73—41no—
815C22×C73—41no—
816C22×C73C2×AGL(1,ℤ/8)12yes—
817C22×C73C23×D411yescharacteristic
818C2×D73—21no—
819C2×D73—21no—
820C2×D73—28no—
821C2×D73—21no—
822C2×D73—21no—
823C2×D73—21no—
824C2×D73—44no—
825C2×D73—41no—
826C2×D73—41no—
827C2×D73—41no—
828C2×D73—84no—
829C2×D73#54712yes—
830C2×D73C2×AGL(1,ℤ/8)12yes—
831C2×D73C2×AGL(1,ℤ/8)12yes—
832C2×D73#57812yes—
833C4×C73—21no—
834C4×C73—21no—
835C4×C73—21no—
836C4×C73—21no—
837C4×C73—41no—
838C4×C73—41no—
839C4×C73—41no—
840C4×C73—41no—
841C4×C73—41no—
842C4×C73—41no—
843C4×C73—41no—
844C4×C73C22×#4111yescharacteristic
845C4×C73C2×2−1+411yescharacteristic
846Dic73—21no—
847Dic73—21no—
848Dic73—21no—
849Dic73—21no—
850Dic73—41no—
851Dic73—41no—
852Dic73—41no—
853Dic73—41no—
854Dic73—41no—
855Dic73—41no—
856Dic73—41no—
857Dic73#54712yes—
858C2×#3343—731nomaximal, Sylow
859C2×C73—22no—
860C2×C73—41no—
861C2×C73—81no—
862C2×C73C2×#54711yescharacteristic
863C2×C73C22×AGL(1,ℤ/8)11yescharacteristic
864C2×C73C2×#57811yescharacteristic
865D73—22no—
866D73—41no—
867D73—81no—
868D73#334314yesdirect product factor
869C2×#552—731no—
870C2×#547—731no—
871#3343—731no—
872#3343—731no—
873#3343—731no—
874#3343—731no—
875#3343—731no—
876#3343—731no—
877#3343—731no—
878#3343—731no—
879#3343—731no—
880#3343—731no—
881#3343—731no—
882#3343—731no—
883#3343—731no—
884#3343—731no—
885#3343—731no—
886#3343D7311yescharacteristic, direct product factor
887C2×#501—731no—
888C2×#484—731no—
889C2×#482—731no—
890C2×#483—731no—
891C2×#480—731no—
892C2×#477—731no—
893C2×#478—731no—
894C2×#468—731no—
895C2×#465—731no—
896C2×#440—731no—
897C2×#435—731no—
898C2×#428—731no—
899C22×#107—731no—
900C73C2×#334311yescharacteristic, complemented, Sylow
901C22×#41—1461no—
902C22×SD16—731no—
903C22×M16—731no—
904C23×C8—731no—
905#552—731no—
906#552—731no—
907#552—731no—
908#552—731no—
909#552—731no—
910#552—731no—
911#552—731no—
912#552—1461no—
913#552—1461no—
914#552—1461no—
915#552—1461no—
916#552C2×D7311yescharacteristic, complemented
917#547—731no—
918#547—731no—
919#547—731no—
920#547—731no—
921#547—731no—
922#547—731no—
923#547—731no—
924#547—1461no—
925#547—1461no—
926#547—1461no—
927#547—1461no—
928#547C2×D7311yescharacteristic
929C2×C4⋊Q8—731no—
930C2×#126—1461no—
931C2×#125—731no—
932C2×#125—1461no—
933C2×#123—1461no—
934C2×#123—1461no—
935C2×#123—1461no—
936C2×C22⋊Q8—731no—
937C2×C22⋊Q8—731no—
938C2×C22⋊Q8—1461no—
939C2×#121—731no—
940C2×#121—731no—
941C2×C4×Q8—731no—
942C2×C4×D4—731no—
943C2×C4×D4—731no—
944C2×#117—731no—
945C2×#117—1461no—
946C22×C4⋊C4—731no—
947C22×C4⋊C4—731no—
948C22×C4⋊C4—731no—
949#501—731no—
950#501—731no—
951#501—731no—
952#501—731no—
953#501—731no—
954#501—731no—
955#501—731no—
956#501C2×D7311yescharacteristic, complemented
957#484—731no—
958#484—731no—
959#484—731no—
960#484—731no—
961#484—731no—
962#484—731no—
963#484—731no—
964#484C2×D7311yescharacteristic, complemented
965#483—731no—
966#483—731no—
967#483—731no—
968#483—731no—
969#483—731no—
970#483—731no—
971#483—731no—
972#483C2×D7311yescharacteristic, complemented
973#482—731no—
974#482—731no—
975#482—731no—
976#482—731no—
977#482—731no—
978#482—731no—
979#482—731no—
980#482C2×D7311yescharacteristic, complemented
981#480—731no—
982#480—731no—
983#480—731no—
984#480—731no—
985#480—731no—
986#480—731no—
987#480—731no—
988#480C2×D7311yescharacteristic, complemented
989#478—731no—
990#478—731no—
991#478—731no—
992#478—731no—
993#478—731no—
994#478—731no—
995#478—731no—
996#478C2×D7311yescharacteristic, complemented
997#477—731no—
998#477—731no—
999#477—731no—
1000#477—731no—
1001#477—731no—
1002#477—731no—
1003#477—731no—
1004#477C2×D7311yescharacteristic, complemented
1005#468—731no—
1006#468—731no—
1007#468—731no—
1008#468—731no—
1009#468—731no—
1010#468—731no—
1011#468—731no—
1012#468C2×D7311yescharacteristic, complemented
1013#465—731no—
1014#465—731no—
1015#465—731no—
1016#465—731no—
1017#465—731no—
1018#465—731no—
1019#465—731no—
1020#465C2×D7311yescharacteristic, complemented
1021#440—731no—
1022#440—731no—
1023#440—731no—
1024#440—731no—
1025#440—731no—
1026#440—731no—
1027#440—731no—
1028#440C2×D7311yescharacteristic, complemented
1029#435—731no—
1030#435—731no—
1031#435—731no—
1032#435—731no—
1033#435—731no—
1034#435—731no—
1035#435—731no—
1036#435C2×D7311yescharacteristic, complemented
1037#428—731no—
1038#428—731no—
1039#428—731no—
1040#428—731no—
1041#428—731no—
1042#428—731no—
1043#428—731no—
1044#428C2×D7311yescharacteristic, complemented
1045C2×#107—731no—
1046C2×#107—731no—
1047C2×#107—731no—
1048C2×#107—731no—
1049C2×#107—731no—
1050C2×#107—731no—
1051C2×#107—731no—
1052C2×#107—731no—
1053C2×#107—731no—
1054C2×#107—731no—
1055C2×#107—731no—
1056C2×#107—731no—
1057C2×#107—731no—
1058C2×#107C2×D7311yescharacteristic, complemented
1059C2×#106—731no—
1060C2×#106—731no—
1061C2×#106—731no—
1062C2×C4⋊C8—731no—
1063C2×#103—731no—
1064C2×#103—731no—
1065C2×#103—731no—
1066C2×#102—731no—
1067C2×#102—731no—
1068C2×#102—731no—
1069C2×C22⋊C8—731no—
1070C2×C22⋊C8—731no—
1071C2×#97—731no—
1072C2×#41—21no—
1073C2×#41—2928no—
1074C2×#41—1461no—
1075C2×#41—1461no—
1076C2×#41—1461no—
1077C2×#41—1461no—
1078C2×#41—1461no—
1079C2×#41—1461no—
1080C2×#41—1461no—
1081C22×Q8—731no—
1082C22×Q8—1461no—
1083C22×D4—731no—
1084C22×D4—731no—
1085C22×D4—1461no—
1086C22×D4—1461no—
1087C23×C4—731no—
1088C23×C4—731no—
1089C23×C4—1461no—
1090C23×C4—1461no—
1091C23×C4—1461no—
1092C23×C4—1461no—
1093C2×SD16—731no—
1094C2×SD16—731no—
1095C2×SD16—731no—
1096C2×SD16—1464no—
1097C2×SD16C22×D7311yescharacteristic
1098C2×M16—731no—
1099C2×M16—731no—
1100C2×M16—731no—
1101C2×M16—1464no—
1102C2×M16C22×D7311yescharacteristic
1103C22×C8—731no—
1104C22×C8—731no—
1105C22×C8—731no—
1106C22×C8—731no—
1107C22×C8—731no—
1108C22×C8—731no—
1109C22×C8—731no—
1110C22×C8—1464no—
1111C22×C8C22×D7311yescharacteristic
1112C4⋊Q8—731no—
1113C4⋊Q8—731no—
1114C4⋊Q8—731no—
1115C4⋊Q8—1461no—
1116C4⋊Q8—1461no—
1117C4⋊Q8C22×D7311yescharacteristic
1118#126—21no—
1119#126—1461no—
1120#126—1461no—
1121#126—1461no—
1122#126—1461no—
1123#126—1461no—
1124#126—1461no—
1125#126—1461no—
1126#125—21no—
1127#125—731no—
1128#125—731no—
1129#125—731no—
1130#125—1461no—
1131#125—1461no—
1132#125—1461no—
1133#125—1461no—
1134#125—1461no—
1135#125—1461no—
1136#125—1461no—
1137#125—1461no—
1138#125—1461no—
1139#125C22×D7311yescharacteristic
1140#123—21no—
1141#123—21no—
1142#123—21no—
1143#123—1461no—
1144#123—1461no—
1145#123—1461no—
1146#123—1461no—
1147#123—1461no—
1148#123—1461no—
1149#123—1461no—
1150#123—1461no—
1151#123—1461no—
1152#123—1461no—
1153#123—1461no—
1154#123—1461no—
1155#123—1461no—
1156#123—1461no—
1157#123—1461no—
1158#123—1461no—
1159#123—1461no—
1160#123—1461no—
1161#123—1461no—
1162#123—1461no—
1163#123—1461no—
1164C22⋊Q8—21no—
1165C22⋊Q8—731no—
1166C22⋊Q8—731no—
1167C22⋊Q8—731no—
1168C22⋊Q8—731no—
1169C22⋊Q8—731no—
1170C22⋊Q8—731no—
1171C22⋊Q8—1461no—
1172C22⋊Q8—1461no—
1173C22⋊Q8—1461no—
1174C22⋊Q8—1461no—
1175C22⋊Q8—1461no—
1176C22⋊Q8—1461no—
1177C22⋊Q8—1461no—
1178C22⋊Q8—1461no—
1179C22⋊Q8—1461no—
1180C22⋊Q8—1461no—
1181C22⋊Q8—1461no—
1182C22⋊Q8C22×D7311yescharacteristic
1183C22⋊Q8C22×D7311yescharacteristic
1184#121—731no—
1185#121—731no—
1186#121—731no—
1187#121—731no—
1188#121—731no—
1189#121—731no—
1190#121—1461no—
1191#121—1461no—
1192#121—1461no—
1193#121—1461no—
1194#121C22×D7311yescharacteristic
1195#121C22×D7311yescharacteristic
1196C4×Q8—731no—
1197C4×Q8—731no—
1198C4×Q8—731no—
1199C4×Q8—1461no—
1200C4×Q8—1461no—
1201C4×Q8C22×D7311yescharacteristic
1202C4×D4—731no—
1203C4×D4—731no—
1204C4×D4—731no—
1205C4×D4—731no—
1206C4×D4—731no—
1207C4×D4—731no—
1208C4×D4—731no—
1209C4×D4—731no—
1210C4×D4—731no—
1211C4×D4—731no—
1212C4×D4—1461no—
1213C4×D4—1461no—
1214C4×D4C22×D7311yescharacteristic
1215C4×D4C22×D7311yescharacteristic
1216#117—21no—
1217#117—731no—
1218#117—731no—
1219#117—731no—
1220#117—1461no—
1221#117—1461no—
1222#117—1461no—
1223#117—1461no—
1224#117—1461no—
1225#117—1461no—
1226#117—1461no—
1227#117—1461no—
1228#117—1461no—
1229#117C22×D7311yescharacteristic
1230C2×C4⋊C4—731no—
1231C2×C4⋊C4—731no—
1232C2×C4⋊C4—731no—
1233C2×C4⋊C4—731no—
1234C2×C4⋊C4—731no—
1235C2×C4⋊C4—731no—
1236C2×C4⋊C4—731no—
1237C2×C4⋊C4—731no—
1238C2×C4⋊C4—731no—
1239C2×C4⋊C4—731no—
1240C2×C4⋊C4—731no—
1241C2×C4⋊C4—731no—
1242C2×C4⋊C4—731no—
1243C2×C4⋊C4—731no—
1244C2×C4⋊C4—731no—
1245C2×C4⋊C4—731no—
1246C2×C4⋊C4—1461no—
1247C2×C4⋊C4—1461no—
1248C2×C4⋊C4—1461no—
1249C2×C4⋊C4—1461no—
1250C2×C4⋊C4—1461no—
1251C2×C4⋊C4—1461no—
1252C2×C4⋊C4—1461no—
1253C2×C4⋊C4—1461no—
1254C2×C4⋊C4—1461no—
1255C2×C4⋊C4—1461no—
1256C2×C4⋊C4—1461no—
1257C2×C4⋊C4—1461no—
1258C2×C4⋊C4—1461no—
1259C2×C4⋊C4—1461no—
1260C2×C4⋊C4—1461no—
1261C2×C4⋊C4C22×D7311yescharacteristic
1262C2×C4⋊C4C22×D7311yescharacteristic
1263C2×C4⋊C4C22×D7311yescharacteristic
1264C2×C22⋊C4—731no—
1265C2×C22⋊C4—731no—
1266C2×C22⋊C4—1461no—
1267C2×C22⋊C4—1461no—
1268C2×C22⋊C4—1461no—
1269C2×C22⋊C4—1461no—
1270C2×C22⋊C4—1461no—
1271C2×C22⋊C4—1461no—
1272C2×C42—731no—
1273C2×C42—1461no—
1274C2×C42—1461no—
1275#107—731no—
1276#107—731no—
1277#107—731no—
1278#107—731no—
1279#107—731no—
1280#107—731no—
1281#107—731no—
1282#107—731no—
1283#107—731no—
1284#107—731no—
1285#107—731no—
1286#107—731no—
1287#107—731no—
1288#107—731no—
1289#107—731no—
1290#107—731no—
1291#107—731no—
1292#107—731no—
1293#107C22×D7311yescharacteristic
1294#107C22×D7311yescharacteristic
1295#107C22×D7311yescharacteristic
1296#107C22×D7311yescharacteristic
1297#107C22×D7311yescharacteristic
1298#107C22×D7311yescharacteristic
1299#106—731no—
1300#106—731no—
1301#106—731no—
1302#106—731no—
1303#106—731no—
1304#106—731no—
1305#106—731no—
1306#106—731no—
1307#106—731no—
1308#106C22×D7311yescharacteristic
1309#106C22×D7311yescharacteristic
1310#106C22×D7311yescharacteristic
1311C4⋊C8—731no—
1312C4⋊C8—731no—
1313C4⋊C8—731no—
1314C4⋊C8C22×D7311yescharacteristic
1315#103—731no—
1316#103—731no—
1317#103—731no—
1318#103—731no—
1319#103—731no—
1320#103—731no—
1321#103—731no—
1322#103—731no—
1323#103—731no—
1324#103C22×D7311yescharacteristic
1325#103C22×D7311yescharacteristic
1326#103C22×D7311yescharacteristic
1327#102—731no—
1328#102—731no—
1329#102—731no—
1330#102—731no—
1331#102—731no—
1332#102—731no—
1333#102—731no—
1334#102—731no—
1335#102—731no—
1336#102C22×D7311yescharacteristic
1337#102C22×D7311yescharacteristic
1338#102C22×D7311yescharacteristic
1339C22⋊C8—731no—
1340C22⋊C8—731no—
1341C22⋊C8—731no—
1342C22⋊C8—731no—
1343C22⋊C8—731no—
1344C22⋊C8—731no—
1345C22⋊C8C22×D7311yescharacteristic
1346C22⋊C8C22×D7311yescharacteristic
1347#97—731no—
1348#97—731no—
1349#97—731no—
1350#97C22×D7311yescharacteristic
1351C24—731no—
1352C24—731no—
1353C24—1461no—
1354#41—44no—
1355#41—2924no—
1356#41—2924no—
1357#41—2924no—
1358#41—2924no—
1359#41—2924no—
1360#41—2924no—
1361#41—2924no—
1362C2×Q8—21no—
1363C2×Q8—2924no—
1364C2×Q8—731no—
1365C2×Q8—1461no—
1366C2×Q8—1461no—
1367C2×Q8—1461no—
1368C2×Q8—1462no—
1369C2×Q8—1462no—
1370C2×Q8—1461no—
1371C2×Q8C23×D7311yescharacteristic
1372C2×D4—21no—
1373C2×D4—21no—
1374C2×D4—2924no—
1375C2×D4—2924no—
1376C2×D4—731no—
1377C2×D4—731no—
1378C2×D4—731no—
1379C2×D4—731no—
1380C2×D4—1461no—
1381C2×D4—1461no—
1382C2×D4—1462no—
1383C2×D4—1462no—
1384C2×D4—1461no—
1385C2×D4—1464no—
1386C2×D4—1461no—
1387C2×D4—1461no—
1388C2×D4—1461no—
1389C2×D4—1461no—
1390C2×D4D4×D7311yescharacteristic
1391C2×D4C23×D7311yescharacteristic
1392C22×C4—21no—
1393C22×C4—21no—
1394C22×C4—21no—
1395C22×C4—21no—
1396C22×C4—2924no—
1397C22×C4—2924no—
1398C22×C4—2924no—
1399C22×C4—2924no—
1400C22×C4—731no—
1401C22×C4—731no—
1402C22×C4—731no—
1403C22×C4—731no—
1404C22×C4—731no—
1405C22×C4—731no—
1406C22×C4—731no—
1407C22×C4—731no—
1408C22×C4—731no—
1409C22×C4—731no—
1410C22×C4—731no—
1411C22×C4—1461no—
1412C22×C4—1461no—
1413C22×C4—1461no—
1414C22×C4—1461no—
1415C22×C4—1461no—
1416C22×C4—1461no—
1417C22×C4—1461no—
1418C22×C4—1461no—
1419C22×C4—1461no—
1420C22×C4—1461no—
1421C22×C4—1461no—
1422C22×C4—1461no—
1423C22×C4—1461no—
1424C22×C4—1461no—
1425C22×C4—1462no—
1426C22×C4—1462no—
1427C22×C4—1462no—
1428C22×C4—1462no—
1429C22×C4—1461no—
1430C22×C4—1461no—
1431C22×C4—1461no—
1432C22×C4—1461no—
1433C22×C4—1461no—
1434C22×C4C23×D7311yescharacteristic
1435C22×C4C23×D7311yescharacteristic
1436SD16—22no—
1437SD16—1462no—
1438SD16—1462no—
1439SD16—1462no—
1440M16—22no—
1441M16—1462no—
1442M16—1462no—
1443M16—1462no—
1444C2×C8—22no—
1445C2×C8—731no—
1446C2×C8—734no—
1447C2×C8—731no—
1448C2×C8—731no—
1449C2×C8—731no—
1450C2×C8—1462no—
1451C2×C8—1462no—
1452C2×C8—1462no—
1453C2×C8—1462no—
1454C2×C8—1462no—
1455C2×C8—1462no—
1456C2×C8C23×D7311yescharacteristic
1457C2×C8C23×D7311yescharacteristic
1458C2×C8C23×D7311yescharacteristic
1459C2×C8C23×D7311yescharacteristic
1460C4⋊C4—21no—
1461C4⋊C4—21no—
1462C4⋊C4—21no—
1463C4⋊C4—21no—
1464C4⋊C4—21no—
1465C4⋊C4—21no—
1466C4⋊C4—21no—
1467C4⋊C4—21no—
1468C4⋊C4—21no—
1469C4⋊C4—731no—
1470C4⋊C4—731no—
1471C4⋊C4—731no—
1472C4⋊C4—731no—
1473C4⋊C4—731no—
1474C4⋊C4—731no—
1475C4⋊C4—731no—
1476C4⋊C4—731no—
1477C4⋊C4—731no—
1478C4⋊C4—1461no—
1479C4⋊C4—1461no—
1480C4⋊C4—1461no—
1481C4⋊C4—1461no—
1482C4⋊C4—1461no—
1483C4⋊C4—1461no—
1484C4⋊C4—1461no—
1485C4⋊C4—1461no—
1486C4⋊C4—1461no—
1487C4⋊C4—1461no—
1488C4⋊C4—1461no—
1489C4⋊C4—1461no—
1490C4⋊C4—1461no—
1491C4⋊C4—1461no—
1492C4⋊C4—1461no—
1493C4⋊C4—1461no—
1494C4⋊C4—1461no—
1495C4⋊C4—1461no—
1496C4⋊C4—1461no—
1497C4⋊C4—1461no—
1498C4⋊C4—1461no—
1499C4⋊C4—1461no—
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⋊C4D4×D7311yescharacteristic
1512C4⋊C4C23×D7311yescharacteristic
1513C4⋊C4C23×D7311yescharacteristic
1514C4⋊C4C23×D7311yescharacteristic
1515C4⋊C4C23×D7311yescharacteristic
1516C4⋊C4C23×D7311yescharacteristic
1517C4⋊C4C23×D7311yescharacteristic
1518C22⋊C4—21no—
1519C22⋊C4—21no—
1520C22⋊C4—21no—
1521C22⋊C4—21no—
1522C22⋊C4—21no—
1523C22⋊C4—21no—
1524C22⋊C4—731no—
1525C22⋊C4—731no—
1526C22⋊C4—731no—
1527C22⋊C4—731no—
1528C22⋊C4—731no—
1529C22⋊C4—731no—
1530C22⋊C4—1461no—
1531C22⋊C4—1461no—
1532C22⋊C4—1461no—
1533C22⋊C4—1461no—
1534C22⋊C4—1461no—
1535C22⋊C4—1461no—
1536C22⋊C4—1461no—
1537C22⋊C4—1461no—
1538C22⋊C4—1461no—
1539C22⋊C4—1461no—
1540C22⋊C4—1461no—
1541C22⋊C4—1461no—
1542C22⋊C4—1461no—
1543C22⋊C4—1461no—
1544C22⋊C4—1461no—
1545C22⋊C4—1461no—
1546C22⋊C4—1461no—
1547C22⋊C4—1461no—
1548C22⋊C4D4×D7311yescharacteristic
1549C22⋊C4D4×D7311yescharacteristic
1550C42—21no—
1551C42—21no—
1552C42—731no—
1553C42—731no—
1554C42—731no—
1555C42—1461no—
1556C42—1461no—
1557C42—1461no—
1558C42—1461no—
1559C42—1461no—
1560C42—1461no—
1561C42C23×D7311yescharacteristic
1562C23—21no—
1563C23—2922no—
1564C23—2922no—
1565C23—2922no—
1566C23—731no—
1567C23—731no—
1568C23—734no—
1569C23—731no—
1570C23—1462no—
1571C23—1462no—
1572C23—1462no—
1573C23—1462no—
1574C23—1462no—
1575C23—1461no—
1576C23C2×D4×D7311yescharacteristic
1577C23C2×D4×D7311yescharacteristic
1578Q8—21no—
1579Q8—21no—
1580Q8—42no—
1581Q8—2922no—
1582Q8—2922no—
1583Q8—2922no—
1584Q8—2922no—
1585Q8—1461no—
1586Q8—1461no—
1587D4—22no—
1588D4—21no—
1589D4—21no—
1590D4—42no—
1591D4—42no—
1592D4—2922no—
1593D4—2922no—
1594D4—2922no—
1595D4—2922no—
1596D4—2922no—
1597D4—2922no—
1598D4—2922no—
1599D4—1462no—
1600D4—1462no—
1601D4—1462no—
1602D4—1461no—
1603D4—1461no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—42no—
1616C2×C4—42no—
1617C2×C4—42no—
1618C2×C4—42no—
1619C2×C4—2922no—
1620C2×C4—2922no—
1621C2×C4—2922no—
1622C2×C4—2922no—
1623C2×C4—2922no—
1624C2×C4—2922no—
1625C2×C4—2922no—
1626C2×C4—2922no—
1627C2×C4—2922no—
1628C2×C4—2922no—
1629C2×C4—2922no—
1630C2×C4—2922no—
1631C2×C4—2922no—
1632C2×C4—2922no—
1633C2×C4—2922no—
1634C2×C4—2922no—
1635C2×C4—2922no—
1636C2×C4—2922no—
1637C2×C4—2922no—
1638C2×C4—731no—
1639C2×C4—732no—
1640C2×C4—732no—
1641C2×C4—731no—
1642C2×C4—731no—
1643C2×C4—731no—
1644C2×C4—731no—
1645C2×C4—1462no—
1646C2×C4—1462no—
1647C2×C4—1462no—
1648C2×C4—1462no—
1649C2×C4—1462no—
1650C2×C4—1462no—
1651C2×C4—1461no—
1652C2×C4—1461no—
1653C2×C4—1461no—
1654C2×C4—1461no—
1655C2×C4—1461no—
1656C2×C4—1461no—
1657C2×C4—1461no—
1658C2×C4—1462no—
1659C2×C4—1462no—
1660C2×C4—1461no—
1661C2×C4—1461no—
1662C2×C4—1461no—
1663C2×C4—1461no—
1664C2×C4C2×D4×D7311yescharacteristic
1665C2×C4C2×D4×D7311yescharacteristic
1666C2×C4C2×D4×D7311yescharacteristic
1667C2×C4C2×D4×D7311yescharacteristic
1668C2×C4C24×D7311yescharacteristic
1669C8—21no—
1670C8—21no—
1671C8—21no—
1672C8—732no—
1673C8—1461no—
1674C8—1461no—
1675C8—1461no—
1676C8#41×D7312yescomplemented
1677C22—21no—
1678C22—21no—
1679C22—21no—
1680C22—21no—
1681C22—21no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—2924no—
1686C22—2921no—
1687C22—2921no—
1688C22—2921no—
1689C22—5844no—
1690C22—732no—
1691C22—732no—
1692C22—732no—
1693C22—732no—
1694C22—1468no—
1695C22—1461no—
1696C22—1461no—
1697C22—1461no—
1698C22—1461no—
1699C22—1461no—
1700C22AGL(1,ℤ/8)×D7312yes—
1701C22C22×D4×D7311yescharacteristic
1702C4—21no—
1703C4—21no—
1704C4—21no—
1705C4—21no—
1706C4—41no—
1707C4—41no—
1708C4—41no—
1709C4—41no—
1710C4—41no—
1711C4—41no—
1712C4—41no—
1713C4—2921no—
1714C4—2921no—
1715C4—2921no—
1716C4—2921no—
1717C4—2921no—
1718C4—2921no—
1719C4—2921no—
1720C4—732no—
1721C4—1461no—
1722C4—1461no—
1723C4—1461no—
1724C4—1461no—
1725C4C2×#41×D7311yescharacteristic
1726C42−1+4×D7311yescharacteristic
1727C2—22no—
1728C2—41no—
1729C2—81no—
1730C2—2921no—
1731C2—5841no—
1732C2—734no—
1733C2—1462no—
1734C2#547×D7311yescharacteristic
1735C2C2×AGL(1,ℤ/8)×D7311yescharacteristic
1736C2#578×D7311yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3343C2
socleC22×C73C23×D4
prime radical#547×D73C2
hypercenter#3343D73
hypocenterC73C2×#3343
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3343

Complements

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

NH ≅ G/Ntype
1. #552×D73C2semidirect
3. #22622378C2semidirect
4. #22622377C2semidirect
5. #22622376C2semidirect
6. #22622375C2semidirect
7. #22622374C2semidirect
8. #22622373C2semidirect
9. #22622372C2semidirect
10. #22622371C2semidirect
11. #22622370C2semidirect
12. #22622369C2semidirect
13. #22622368C2semidirect
14. #22622367C2semidirect
15. #22622366C2semidirect
16. #22622365C2semidirect
17. #22622364C2semidirect
18. #501×D73C2semidirect
19. #484×D73C2semidirect
20. #482×D73C2semidirect
21. #483×D73C2semidirect
22. #480×D73C2semidirect
23. #477×D73C2semidirect
24. #478×D73C2semidirect
25. #468×D73C2semidirect
26. #465×D73C2semidirect
27. #440×D73C2semidirect
28. #435×D73C2semidirect
29. #428×D73C2semidirect
30. C2×#107×D73C2semidirect
31. C73×#3343C2semidirect
36. #17989279C22semidirect
37. #17989278C22semidirect
38. #17989277C22semidirect
39. #17989276C22semidirect
40. #17989275C22semidirect
43. #17989272C22semidirect
44. #17989271C22semidirect
78. #17988997C22semidirect
79. #17988996C22semidirect
80. #17988995C22semidirect
81. #17988995C22semidirect
82. #17988994C22semidirect
83. #17988994C22semidirect
84. #17988993C22semidirect
85. #17988924C22semidirect
86. #17988924C22semidirect
87. #17988923C22semidirect
88. #17988922C22semidirect
89. #17988921C22semidirect
90. #17988921C22semidirect
91. #17988920C22semidirect
92. #17988919C22semidirect
93. #17988919C22semidirect
94. #17988918C22semidirect
95. #17988917C22semidirect
96. #17988916C22semidirect
97. #17988916C22semidirect
98. #17988915C22semidirect
99. #17988914C22semidirect
100. #17988913C22semidirect
101. #17988912C22semidirect
102. #17988911C22semidirect
103. #17988910C22semidirect
104. #17988909C22semidirect
105. #17988908C22semidirect
106. #17988902C22semidirect
107. #17988902C22semidirect
108. #17988901C22semidirect
109. #17988900C22semidirect
110. #17988899C22semidirect
111. #17988899C22semidirect
112. #17988898C22semidirect
113. #17988890C22semidirect
114. #17988889C22semidirect
115. #17988888C22semidirect
116. #17988887C22semidirect
117. #17988886C22semidirect
118. #17988885C22semidirect
119. #17988884C22semidirect
120. #17988883C22semidirect
121. #17988882C22semidirect
122. #17988881C22semidirect
123. #17988881C22semidirect
124. #17988880C22semidirect
125. #17988880C22semidirect
126. #17988879C22semidirect
127. #17988836C22semidirect
128. #17988835C22semidirect
129. #17988834C22semidirect
130. #17988833C22semidirect
131. #17988832C22semidirect
132. #17988831C22semidirect
133. #17988830C22semidirect
134. #17988819C22semidirect
135. #17988818C22semidirect
136. #17988817C22semidirect
137. #17988816C22semidirect
138. #17988815C22semidirect
139. #17988814C22semidirect
140. #17988813C22semidirect
141. #17988690C22semidirect
142. #17988689C22semidirect
143. #17988688C22semidirect
144. #17988687C22semidirect
145. #17988686C22semidirect
146. #17988685C22semidirect
147. #17988684C22semidirect
148. #17988661C22semidirect
149. #17988660C22semidirect
150. #17988659C22semidirect
151. #17988658C22semidirect
152. #17988657C22semidirect
153. #17988656C22semidirect
154. #17988655C22semidirect
155. #17988630C22semidirect
156. #17988629C22semidirect
157. #17988628C22semidirect
158. #17988628C22semidirect
159. #17988627C22semidirect
160. #17988626C22semidirect
161. #17988626C22semidirect
162. C2×#14556525C22semidirect
163. C2×#14556524C22semidirect
164. C2×#14556524C22semidirect
171. #107×D73C22semidirect
172. #107×D73C22semidirect
173. #107×D73C22semidirect
174. #107×D73C22semidirect
188. #552×C73C22semidirect
190. #501×C73C22semidirect
191. #484×C73C22semidirect
192. #483×C73C22semidirect
193. #482×C73C22semidirect
194. #480×C73C22semidirect
195. #478×C73C22semidirect
196. #477×C73C22semidirect
197. #468×C73C22semidirect
198. #465×C73C22semidirect
199. #440×C73C22semidirect
200. #435×C73C22semidirect
201. #428×C73C22semidirect
202. C2×#107×C73C22semidirect
570. C8×D73#41semidirect
803. C8×C73C2×#41semidirect
807. #10596831C2×#41semidirect
868. D73#3343direct (N × H)
886. #3343D73direct (N × H)
900. C73C2×#3343semidirect
916. #552C2×D73semidirect
956. #501C2×D73semidirect
964. #484C2×D73semidirect
972. #483C2×D73semidirect
980. #482C2×D73semidirect
988. #480C2×D73semidirect
996. #478C2×D73semidirect
1004. #477C2×D73semidirect
1012. #468C2×D73semidirect
1020. #465C2×D73semidirect
1028. #440C2×D73semidirect
1036. #435C2×D73semidirect
1044. #428C2×D73semidirect
1058. C2×#107C2×D73semidirect
1676. C8#41×D73semidirect

Maximal subgroups

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

subgroupindex
#552×D732
#547×D732
#226223782
#226223772
#226223762
#226223752
#226223742
#226223732
#226223722
#226223712
#226223702
#226223692
#226223682
#226223672
#226223662
#226223652
#226223642
#501×D732
#484×D732
#482×D732
#483×D732
#480×D732
#477×D732
#478×D732
#468×D732
#465×D732
#440×D732
#435×D732
#428×D732
C2×#107×D732
C73×#33432
C2×#334373