Finite Group Databasebeta

← #3179×D73 #33955860

Subgroups — #3179×D73 #33955860

Order 18688.

2034 conjugacy classes of subgroups.

The subgroup lattice has 1790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#542×D73C211yesmaximal, characteristic, complemented
2#540×D73C211yesmaximal, characteristic, complemented
3#22620621C211yesmaximal, characteristic, complemented
4#22620620C211yesmaximal, characteristic, complemented
5#22620619C211yesmaximal, characteristic, complemented
6#22620618C211yesmaximal, characteristic, complemented
7#22620617C211yesmaximal, characteristic, complemented
8#22620616C211yesmaximal, characteristic, complemented
9#22620615C211yesmaximal, characteristic, complemented
10#22620614C211yesmaximal, characteristic, complemented
11#22620613C211yesmaximal, characteristic, complemented
12#22620612C211yesmaximal, characteristic, complemented
13#22620611C211yesmaximal, characteristic, complemented
14#22620610C211yesmaximal, characteristic, complemented
15#22620609C211yesmaximal, characteristic, complemented
16#22620608C211yesmaximal, characteristic, complemented
17#22620607C211yesmaximal, characteristic, complemented
18#501×D73C211yesmaximal, characteristic, complemented
19#496×D73C211yesmaximal, characteristic, complemented
20#488×D73C211yesmaximal, characteristic, complemented
21#486×D73C211yesmaximal, characteristic, complemented
22#469×D73C211yesmaximal, characteristic, complemented
23#468×D73C211yesmaximal, characteristic, complemented
24#466×D73C211yesmaximal, characteristic, complemented
25#465×D73C211yesmaximal, characteristic, complemented
26#442×D73C211yesmaximal, characteristic, complemented
27#440×D73C211yesmaximal, characteristic, complemented
28C4×SD16×D73C211yesmaximal, characteristic, complemented
29C4×D8×D73C211yesmaximal, characteristic, complemented
30#405×D73C211yesmaximal, characteristic, complemented
31C73×#3179C211yesmaximal, characteristic, complemented
32C2×SD16×D73C2211yescharacteristic
33C2×SD16×D73C2211yescharacteristic
34C2×D8×D73C2211yescharacteristic
35C2×D8×D73C2211yescharacteristic
36C2×M16×D73C2211yescharacteristic
37C22×C8×D73C2211yescharacteristic
38#17989211C2211yescharacteristic, complemented
39#17989210C2211yescharacteristic, complemented
40#17989209C2211yescharacteristic, complemented
41#17989208C2211yescharacteristic, complemented
42#17989207—21no—
43#17989206C2211yescharacteristic, complemented
44#17989205—21no—
45#17989204C2211yescharacteristic, complemented
46#17989203—21no—
47#17989202C2211yescharacteristic, complemented
48#17989201—21no—
49#17989193C2211yescharacteristic, complemented
50#17989192C2211yescharacteristic, complemented
51#17989191C2211yescharacteristic, complemented
52#17989190C2211yescharacteristic, complemented
53#17989190C2211yescharacteristic, complemented
54#17989189—21no—
55#17989189—21no—
56#17989188C2211yescharacteristic, complemented
57#17989188C2211yescharacteristic, complemented
58#17989187—21no—
59#17989187—21no—
60C4⋊Q8×D73C2211yescharacteristic
61#127×D73C2211yescharacteristic
62#126×D73—21no—
63#125×D73C2211yescharacteristic
64#124×D73—21no—
65#124×D73C2211yescharacteristic
66#123×D73—21no—
67#123×D73—21no—
68#123×D73—21no—
69C22⋊Q8×D73—21no—
70C22⋊Q8×D73C2211yescharacteristic
71#121×D73—21no—
72#121×D73—21no—
73#121×D73C2211yescharacteristic
74#121×D73C2211yescharacteristic
75#121×D73C2211yescharacteristic
76C4×Q8×D73C2211yescharacteristic
77C4×D4×D73C2211yescharacteristic
78C4×D4×D73C2211yescharacteristic
79C4×D4×D73C2211yescharacteristic
80#117×D73C2211yescharacteristic
81#17988997C2211yescharacteristic, complemented
82#17988996C2211yescharacteristic, complemented
83#17988995C2211yescharacteristic, complemented
84#17988995C2211yescharacteristic, complemented
85#17988994C2211yescharacteristic, complemented
86#17988994C2211yescharacteristic, complemented
87#17988993C2211yescharacteristic, complemented
88#17988977C2211yescharacteristic, complemented
89#17988976C2211yescharacteristic, complemented
90#17988975C2211yescharacteristic, complemented
91#17988975C2211yescharacteristic, complemented
92#17988974C2211yescharacteristic, complemented
93#17988973C2211yescharacteristic, complemented
94#17988973C2211yescharacteristic, complemented
95#17988944C2211yescharacteristic, complemented
96#17988943C2211yescharacteristic, complemented
97#17988943C2211yescharacteristic, complemented
98#17988942C2211yescharacteristic, complemented
99#17988941C2211yescharacteristic, complemented
100#17988940C2211yescharacteristic, complemented
101#17988940C2211yescharacteristic, complemented
102#17988935C2211yescharacteristic, complemented
103#17988934C2211yescharacteristic, complemented
104#17988933C2211yescharacteristic, complemented
105#17988932C2211yescharacteristic, complemented
106#17988932C2211yescharacteristic, complemented
107#17988932C2211yescharacteristic, complemented
108#17988932C2211yescharacteristic, complemented
109#17988841C2211yescharacteristic, complemented
110#17988840C2211yescharacteristic, complemented
111#17988839C2211yescharacteristic, complemented
112#17988839C2211yescharacteristic, complemented
113#17988838C2211yescharacteristic, complemented
114#17988838C2211yescharacteristic, complemented
115#17988837C2211yescharacteristic, complemented
116#17988836C2211yescharacteristic, complemented
117#17988835C2211yescharacteristic, complemented
118#17988834C2211yescharacteristic, complemented
119#17988833C2211yescharacteristic, complemented
120#17988832C2211yescharacteristic, complemented
121#17988831C2211yescharacteristic, complemented
122#17988830C2211yescharacteristic, complemented
123#17988824C2211yescharacteristic, complemented
124#17988823C2211yescharacteristic, complemented
125#17988822C2211yescharacteristic, complemented
126#17988822C2211yescharacteristic, complemented
127#17988821C2211yescharacteristic, complemented
128#17988821C2211yescharacteristic, complemented
129#17988820C2211yescharacteristic, complemented
130#17988819C2211yescharacteristic, complemented
131#17988818C2211yescharacteristic, complemented
132#17988817C2211yescharacteristic, complemented
133#17988816C2211yescharacteristic, complemented
134#17988815C2211yescharacteristic, complemented
135#17988814C2211yescharacteristic, complemented
136#17988813C2211yescharacteristic, complemented
137#17988700C2211yescharacteristic, complemented
138#17988699C2211yescharacteristic, complemented
139#17988698C2211yescharacteristic, complemented
140#17988697C2211yescharacteristic, complemented
141#17988697C2211yescharacteristic, complemented
142#17988696C2211yescharacteristic, complemented
143#17988696C2211yescharacteristic, complemented
144#17988690C2211yescharacteristic, complemented
145#17988689C2211yescharacteristic, complemented
146#17988688C2211yescharacteristic, complemented
147#17988687C2211yescharacteristic, complemented
148#17988686C2211yescharacteristic, complemented
149#17988685C2211yescharacteristic, complemented
150#17988684C2211yescharacteristic, complemented
151#17988678C2211yescharacteristic, complemented
152C4×#11924017C2211yescharacteristic, complemented
153SD16×Dic73C2211yescharacteristic, complemented
154C4×#11924015C2211yescharacteristic, complemented
155#17988674C2211yescharacteristic, complemented
156C4×#11924016C2211yescharacteristic, complemented
157#17988672C2211yescharacteristic, complemented
158C4×D584C2211yescharacteristic, complemented
159D8×Dic73C2211yescharacteristic, complemented
160#17988669C2211yescharacteristic, complemented
161C4×#11924013C2211yescharacteristic, complemented
162C4×#11924013C2211yescharacteristic, complemented
163#17988667C2211yescharacteristic, complemented
164#17988667C2211yescharacteristic, complemented
165#107×D73C2211yescharacteristic
166#107×D73C2211yescharacteristic
167#106×D73C2211yescharacteristic
168#106×D73C2211yescharacteristic
169#103×D73C2211yescharacteristic
170#103×D73C2211yescharacteristic
171#102×D73C2211yescharacteristic
172#102×D73C2211yescharacteristic
173#102×D73C2211yescharacteristic
174#102×D73C2211yescharacteristic
175#102×D73C2211yescharacteristic
176#102×D73C2211yescharacteristic
177#17988545C2211yescharacteristic, complemented
178#17988544C2211yescharacteristic, complemented
179#17988544C2211yescharacteristic, complemented
180#17988543C2211yescharacteristic, complemented
181#17988542C2211yescharacteristic, complemented
182#17988541C2211yescharacteristic, complemented
183#17988541C2211yescharacteristic, complemented
184#97×D73C2211yescharacteristic
185#97×D73C2211yescharacteristic
186C4×C8×D73C2211yescharacteristic
187C4×C8×D73C2211yescharacteristic
188#542×C73C2211yescharacteristic, complemented
189#540×C73C2211yescharacteristic, complemented
190#501×C73C2211yescharacteristic, complemented
191#496×C73C2211yescharacteristic, complemented
192#488×C73C2211yescharacteristic, complemented
193#486×C73C2211yescharacteristic, complemented
194#469×C73C2211yescharacteristic, complemented
195#468×C73C2211yescharacteristic, complemented
196#466×C73C2211yescharacteristic, complemented
197#465×C73C2211yescharacteristic, complemented
198#442×C73C2211yescharacteristic, complemented
199#440×C73C2211yescharacteristic, complemented
200C4×SD16×C73C2211yescharacteristic, complemented
201C4×D8×C73C2211yescharacteristic, complemented
202#405×C73C2211yescharacteristic, complemented
203C2×Q8×D73—21no—
204C2×Q8×D73C2311yescharacteristic
205C2×D4×D73—21no—
206C2×D4×D73—21no—
207C2×D4×D73—21no—
208C2×D4×D73—21no—
209C2×D4×D73—21no—
210C2×D4×D73C2311yescharacteristic
211C2×D4×D73C2311yescharacteristic
212C2×D4×D73C2311yescharacteristic
213C22×C4×D73—21no—
214C22×C4×D73—21no—
215C22×C4×D73—21no—
216C22×C4×D73C2311yescharacteristic
217C2×#11924017C2311yescharacteristic
218C2×#11924017C2311yescharacteristic
219C2×#11924016C2311yescharacteristic
220C2×#11924016C2311yescharacteristic
221C2×#11924015C2311yescharacteristic
222C2×#11924015C2311yescharacteristic
223SD16×D73—24no—
224SD16×D73—24no—
225C2×D584C2311yescharacteristic
226C2×D584C2311yescharacteristic
227C2×#11924013C2311yescharacteristic
228C2×#11924013C2311yescharacteristic
229C2×#11924013C2311yescharacteristic
230C2×#11924013C2311yescharacteristic
231D8×D73—24no—
232D8×D73—24no—
233C2×#11924012C2311yescharacteristic
234C2×#11924011C2311yescharacteristic
235C2×#11924011C2311yescharacteristic
236M16×D73—24no—
237C22×#10596831C2311yescharacteristic
238C2×C8×D73—24no—
239C2×C8×D73C2311yescharacteristic
240C2×C8×D73C2311yescharacteristic
241C2×C8×D73C2311yescharacteristic
242C2×C8×D73C2311yescharacteristic
243C2×C8×D73C2311yescharacteristic
244C2×C8×D73C2311yescharacteristic
245#14556591C2311yescharacteristic
246#14556590—21no—
247#14556590C2311yescharacteristic
248#14556590C2311yescharacteristic
249#14556589—21no—
250#14556588C2311yescharacteristic
251#14556587—21no—
252#14556587—21no—
253#14556587C2311yescharacteristic
254#14556587C2311yescharacteristic
255#14556586—21no—
256#14556586—21no—
257#14556586—21no—
258#14556585—21no—
259#14556584—21no—
260#14556584—21no—
261#14556584—21no—
262#14556583C2311yescharacteristic
263#14556582C2311yescharacteristic
264#14556582C2311yescharacteristic
265#14556581—21no—
266#14556581—21no—
267#14556580—21no—
268#14556580C2311yescharacteristic
269#14556579—21no—
270#14556579C2311yescharacteristic
271#14556578—21no—
272#14556578C2311yescharacteristic
273#14556577—21no—
274#14556577—21no—
275#14556577—21no—
276#14556577—21no—
277#14556577—21no—
278#14556577—21no—
279#14556576—21no—
280#14556576—21no—
281#14556576—21no—
282#14556576—21no—
283#14556576—21no—
284#14556576—21no—
285#14556575—21no—
286#14556575—21no—
287#14556575—21no—
288#14556574—21no—
289#14556574—21no—
290#14556574—21no—
291#14556573—21no—
292#14556573—21no—
293#14556573—21no—
294#14556573—21no—
295#14556573—21no—
296#14556573—21no—
297#14556572—21no—
298#14556572—21no—
299#14556572—21no—
300#14556571—21no—
301#14556571C2311yescharacteristic
302#14556570—21no—
303#14556570C2311yescharacteristic
304#14556569—21no—
305#14556569—21no—
306#14556569—21no—
307#14556568—21no—
308#14556568—21no—
309#14556568—21no—
310#14556567—21no—
311#14556567C2311yescharacteristic
312#14556566—21no—
313#14556566—21no—
314#14556566C2311yescharacteristic
315#14556566C2311yescharacteristic
316#14556566C2311yescharacteristic
317#14556565—21no—
318#14556565—21no—
319#14556565C2311yescharacteristic
320#14556565C2311yescharacteristic
321#14556565C2311yescharacteristic
322#14556564—21no—
323#14556564—21no—
324#14556564—21no—
325#14556564—21no—
326#14556564—21no—
327#14556564—21no—
328#14556564—21no—
329#14556563—21no—
330#14556563—21no—
331#14556563—21no—
332#14556563—21no—
333#14556563—21no—
334#14556563—21no—
335#14556563—21no—
336#14556562—21no—
337#14556562—21no—
338#14556562C2311yescharacteristic
339#14556562C2311yescharacteristic
340#14556562C2311yescharacteristic
341Q8×Dic73C2311yescharacteristic
342C4×Dic146—21no—
343C4×Dic146C2311yescharacteristic
344#14556556—21no—
345#14556556C2311yescharacteristic
346C4×D292C2311yescharacteristic
347C4×D292C2311yescharacteristic
348C4×D292C2311yescharacteristic
349D4×Dic73C2311yescharacteristic
350D4×Dic73C2311yescharacteristic
351D4×Dic73C2311yescharacteristic
352#14556553C2311yescharacteristic
353#14556553C2311yescharacteristic
354#14556553C2311yescharacteristic
355C4×C22⋊D73—21no—
356C4×C22⋊D73—21no—
357C4×C22⋊D73—21no—
358#14556551—21no—
359#14556551—21no—
360#14556551—21no—
361#14556550C2311yescharacteristic
362#14556549D411yescharacteristic
363#14556549D411yescharacteristic
364#14556548C2311yescharacteristic
365#14556548C2311yescharacteristic
366#14556547D411yescharacteristic
367#14556547D411yescharacteristic
368C4⋊C4×D73—21no—
369C4⋊C4×D73—21no—
370C4⋊C4×D73—21no—
371C4⋊C4×D73—21no—
372C4⋊C4×D73—21no—
373C4⋊C4×D73D411yescharacteristic
374C4⋊C4×D73D411yescharacteristic
375C4⋊C4×D73C2311yescharacteristic
376C4⋊C4×D73C2311yescharacteristic
377C4⋊C4×D73C2311yescharacteristic
378C4⋊C4×D73C2311yescharacteristic
379C22⋊C4×D73—21no—
380C22⋊C4×D73—21no—
381C22⋊C4×D73—21no—
382C22⋊C4×D73—21no—
383C22⋊C4×D73—21no—
384C22⋊C4×D73—21no—
385C22⋊C4×D73—21no—
386C22⋊C4×D73—21no—
387C22⋊C4×D73—21no—
388C22⋊C4×D73D411yescharacteristic
389C22⋊C4×D73D411yescharacteristic
390C42×D73—21no—
391C42×D73C2311yescharacteristic
392C42×D73C2311yescharacteristic
393#14556525C2311yescharacteristic
394#14556525C2311yescharacteristic
395#14556524C2311yescharacteristic
396#14556524C2311yescharacteristic
397#14556524C2311yescharacteristic
398#14556524C2311yescharacteristic
399#14556523C2311yescharacteristic
400#14556523C2311yescharacteristic
401#14556522C2311yescharacteristic
402#14556522C2311yescharacteristic
403#14556522C2311yescharacteristic
404#14556522C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556515C2311yescharacteristic
408#14556515C2311yescharacteristic
409#14556514C2311yescharacteristic
410#14556514C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556512C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556511C2311yescharacteristic
426#14556511C2311yescharacteristic
427#14556511C2311yescharacteristic
428#14556511C2311yescharacteristic
429#14556502C2311yescharacteristic
430#14556502C2311yescharacteristic
431#14556501C2311yescharacteristic
432#14556501C2311yescharacteristic
433#14556501C2311yescharacteristic
434#14556501C2311yescharacteristic
435C4×#10596831C2311yescharacteristic
436C4×#10596831C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C8×Dic73C2311yescharacteristic
439C8×Dic73C2311yescharacteristic
440C8×Dic73C2311yescharacteristic
441C2×SD16×C73C2311yescharacteristic
442C2×SD16×C73C2311yescharacteristic
443C2×D8×C73C2311yescharacteristic
444C2×D8×C73C2311yescharacteristic
445C2×M16×C73C2311yescharacteristic
446C22×C8×C73C2311yescharacteristic
447C4⋊Q8×C73C2311yescharacteristic
448#127×C73C2311yescharacteristic
449#126×C73—21no—
450#125×C73C2311yescharacteristic
451#124×C73—21no—
452#124×C73C2311yescharacteristic
453#123×C73—21no—
454#123×C73—21no—
455#123×C73—21no—
456C22⋊Q8×C73—21no—
457C22⋊Q8×C73C2311yescharacteristic
458#121×C73—21no—
459#121×C73—21no—
460#121×C73C2311yescharacteristic
461#121×C73C2311yescharacteristic
462#121×C73C2311yescharacteristic
463C4×Q8×C73C2311yescharacteristic
464C4×D4×C73C2311yescharacteristic
465C4×D4×C73C2311yescharacteristic
466C4×D4×C73C2311yescharacteristic
467#117×C73C2311yescharacteristic
468#107×C73C2311yescharacteristic
469#107×C73C2311yescharacteristic
470#106×C73C2311yescharacteristic
471#106×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#97×C73C2311yescharacteristic
481#97×C73C2311yescharacteristic
482C4×C8×C73C2311yescharacteristic
483C4×C8×C73C2311yescharacteristic
484C23×D73—21no—
485C23×D73—21no—
486C23×D73—21no—
487C23×D73C2×D411yescharacteristic
488C2×Dic146—21no—
489C2×Dic146—21no—
490C2×Dic146—21no—
491C2×Dic146—21no—
492C2×Dic146C2411yescharacteristic
493Q8×D73—22no—
494Q8×D73—22no—
495Q8×D73—82no—
496C2×D292—21no—
497C2×D292—21no—
498C2×D292—21no—
499C2×D292—21no—
500C2×D292—21no—
501C2×D292C2411yescharacteristic
502C2×D292C2411yescharacteristic
503C2×D292C2411yescharacteristic
504C2×C22⋊D73—21no—
505C2×C22⋊D73—21no—
506C2×C22⋊D73—21no—
507C2×C22⋊D73—21no—
508C2×C22⋊D73—21no—
509C2×C22⋊D73—21no—
510C2×C22⋊D73—21no—
511C2×C22⋊D73—21no—
512C2×C22⋊D73—21no—
513C2×C22⋊D73—21no—
514C2×C22⋊D73—21no—
515C2×C22⋊D73—21no—
516C2×C22⋊D73—21no—
517D4×D73—22no—
518D4×D73—22no—
519D4×D73—22no—
520D4×D73—22no—
521D4×D73—22no—
522D4×D73—22no—
523D4×D73—82no—
524D4×D73—82no—
525D4×D73—82no—
526D4×D73—82no—
527D4×D73—82no—
528C22×Dic73—21no—
529C22×Dic73—21no—
530C22×Dic73—21no—
531C22×Dic73C2×D411yescharacteristic
532C2×C4×D73—22no—
533C2×C4×D73—22no—
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—21no—
542C2×C4×D73—21no—
543C2×C4×D73—21no—
544C2×C4×D73—21no—
545C2×C4×D73—82no—
546C2×C4×D73—82no—
547C2×C4×D73—82no—
548C2×C4×D73C2×D411yescharacteristic
549C2×C4×D73C2×D411yescharacteristic
550C2×C4×D73C2×D411yescharacteristic
551C2×C4×D73C2×D411yescharacteristic
552C2×C4×D73C2×D411yescharacteristic
553C2×C4×D73C2×D411yescharacteristic
554C2×C4×D73C2411yescharacteristic
555C2×C4×D73C2411yescharacteristic
556#11924017—22no—
557#11924017—22no—
558#11924016—22no—
559#11924016—22no—
560#11924015—22no—
561#11924015—22no—
562D584—22no—
563D584—22no—
564#11924013—22no—
565#11924013—22no—
566#11924013—22no—
567#11924013—22no—
568#11924012—22no—
569#11924011—22no—
570#11924011—22no—
571C2×#10596831—22no—
572C2×#10596831C2411yescharacteristic
573C2×#10596831C2411yescharacteristic
574C2×#10596831C2411yescharacteristic
575C2×#10596831C2411yescharacteristic
576C8×D73—22no—
577C8×D73—22no—
578C8×D73—22no—
579C8×D73—22no—
580C8×D73#4114yes—
581C8×D73#4114yes—
582C4⋊Dic73—21no—
583C4⋊Dic73—21no—
584C4⋊Dic73—21no—
585C4⋊Dic73—21no—
586C4⋊Dic73—21no—
587C4⋊Dic73C2×D411yescharacteristic
588C4⋊Dic73C2×D411yescharacteristic
589C4⋊Dic73C2411yescharacteristic
590C4⋊Dic73C2411yescharacteristic
591C4⋊Dic73C2411yescharacteristic
592C4⋊Dic73C2411yescharacteristic
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#11924007C2×D411yescharacteristic
608#11924007C2×D411yescharacteristic
609#11924007C2×D411yescharacteristic
610#11924007C2×D411yescharacteristic
611C22⋊Dic73—21no—
612C22⋊Dic73—21no—
613C22⋊Dic73—21no—
614C22⋊Dic73—21no—
615C22⋊Dic73—21no—
616C22⋊Dic73—21no—
617C22⋊Dic73—21no—
618C22⋊Dic73—21no—
619C22⋊Dic73—21no—
620C22⋊Dic73C2×D411yescharacteristic
621C22⋊Dic73C2×D411yescharacteristic
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#11924005—21no—
640#11924005C2×D411yescharacteristic
641#11924005C2×D411yescharacteristic
642#11924005C2×D411yescharacteristic
643#11924005C2×D411yescharacteristic
644C4×Dic73—21no—
645C4×Dic73—21no—
646C4×Dic73—21no—
647C4×Dic73C2×D411yescharacteristic
648C4×Dic73C2×D411yescharacteristic
649C4×Dic73C2×D411yescharacteristic
650C4×Dic73C2×D411yescharacteristic
651C4×Dic73C2411yescharacteristic
652C4×Dic73C2411yescharacteristic
653C2×Q8×C73—21no—
654C2×Q8×C73C2411yescharacteristic
655C2×D4×C73—21no—
656C2×D4×C73—21no—
657C2×D4×C73—21no—
658C2×D4×C73—21no—
659C2×D4×C73—21no—
660C2×D4×C73C2411yescharacteristic
661C2×D4×C73C2411yescharacteristic
662C2×D4×C73C2411yescharacteristic
663C22×C4×C73—21no—
664C22×C4×C73—21no—
665C22×C4×C73—21no—
666C22×C4×C73C2411yescharacteristic
667SD16×C73—22no—
668SD16×C73—22no—
669D8×C73—22no—
670D8×C73—22no—
671M16×C73—22no—
672C2×C8×C73—22no—
673C2×C8×C73C2411yescharacteristic
674C2×C8×C73C2411yescharacteristic
675C2×C8×C73C2411yescharacteristic
676C2×C8×C73C2411yescharacteristic
677C4⋊C4×C73—21no—
678C4⋊C4×C73—21no—
679C4⋊C4×C73—21no—
680C4⋊C4×C73—21no—
681C4⋊C4×C73—21no—
682C4⋊C4×C73C2×D411yescharacteristic
683C4⋊C4×C73C2×D411yescharacteristic
684C4⋊C4×C73C2411yescharacteristic
685C4⋊C4×C73C2411yescharacteristic
686C4⋊C4×C73C2411yescharacteristic
687C4⋊C4×C73C2411yescharacteristic
688C22⋊C4×C73—21no—
689C22⋊C4×C73—21no—
690C22⋊C4×C73—21no—
691C22⋊C4×C73—21no—
692C22⋊C4×C73—21no—
693C22⋊C4×C73—21no—
694C22⋊C4×C73—21no—
695C22⋊C4×C73—21no—
696C22⋊C4×C73—21no—
697C22⋊C4×C73C2×D411yescharacteristic
698C22⋊C4×C73C2×D411yescharacteristic
699C42×C73—21no—
700C42×C73C2411yescharacteristic
701C42×C73C2411yescharacteristic
702C23×C73—21no—
703C23×C73—21no—
704C23×C73—21no—
705C23×C73C22×D411yescharacteristic
706C22×D73—22no—
707C22×D73—22no—
708C22×D73—22no—
709C22×D73—21no—
710C22×D73—21no—
711C22×D73—21no—
712C22×D73—42no—
713C22×D73—42no—
714C22×D73—42no—
715C22×D73—42no—
716C22×D73—42no—
717C22×D73—42no—
718C22×D73—42no—
719C22×D73—42no—
720C22×D73—42no—
721C22×D73C22×D411yescharacteristic
722C22×D73C22×D411yescharacteristic
723Q8×C73—21no—
724Q8×C73—21no—
725Q8×C73—81no—
726D4×C73—21no—
727D4×C73—21no—
728D4×C73—21no—
729D4×C73—21no—
730D4×C73—21no—
731D4×C73—21no—
732D4×C73—81no—
733D4×C73—81no—
734D4×C73—81no—
735D4×C73—81no—
736D4×C73—81no—
737C2×C4×C73—21no—
738C2×C4×C73—21no—
739C2×C4×C73—21no—
740C2×C4×C73—21no—
741C2×C4×C73—21no—
742C2×C4×C73—21no—
743C2×C4×C73—21no—
744C2×C4×C73—81no—
745C2×C4×C73—81no—
746C2×C4×C73—81no—
747C2×C4×C73C22×D411yescharacteristic
748C2×C4×C73C22×D411yescharacteristic
749C2×C4×C73C22×D411yescharacteristic
750C2×C4×C73C22×D411yescharacteristic
751C2×C4×C73C22×D411yescharacteristic
752C2×C4×C73C2511yescharacteristic
753C22⋊D73—42no—
754C22⋊D73—42no—
755C22⋊D73—42no—
756C22⋊D73—81no—
757C22⋊D73—81no—
758C22⋊D73—81no—
759C22⋊D73—81no—
760C22⋊D73—81no—
761C22⋊D73—81no—
762C22⋊D73—81no—
763C22⋊D73—81no—
764C22⋊D73—81no—
765C22⋊D73—81no—
766C2×Dic73—22no—
767C2×Dic73—21no—
768C2×Dic73—21no—
769C2×Dic73—21no—
770C2×Dic73—21no—
771C2×Dic73—21no—
772C2×Dic73—81no—
773C2×Dic73—81no—
774C2×Dic73—81no—
775C2×Dic73C22×D411yescharacteristic
776C2×Dic73C22×D411yescharacteristic
777C2×Dic73C22×D411yescharacteristic
778C2×Dic73C22×D411yescharacteristic
779C2×Dic73C22×D411yescharacteristic
780C2×Dic73C22×D411yescharacteristic
781D292—21no—
782D292—21no—
783D292—21no—
784D292—21no—
785D292—21no—
786D292—21no—
787D292—81no—
788D292—81no—
789D292—81no—
790D292—81no—
791D292—81no—
792C4×D73—22no—
793C4×D73—22no—
794C4×D73—22no—
795C4×D73—22no—
796C4×D73—22no—
797C4×D73—21no—
798C4×D73—21no—
799C4×D73—22no—
800C4×D73—42no—
801C4×D73—42no—
802C4×D73—42no—
803C4×D73—42no—
804C4×D73—42no—
805C4×D73—81no—
806C4×D73—81no—
807C4×D73—81no—
808C4×D73—81no—
809C4×D73—81no—
810C4×D73—81no—
811C4×D73C2×#4112yes—
812C4×D73C2×#4112yes—
813Dic146—21no—
814Dic146—21no—
815Dic146—42no—
816Dic146—81no—
817Dic146—81no—
818Dic146—81no—
819C8×C73—21no—
820C8×C73—21no—
821C8×C73C2×#4112yes—
822C8×C73C2×#4112yes—
823#10596831—21no—
824#10596831—21no—
825#10596831C2×#4112yes—
826#10596831C2×#4112yes—
827C22×C73—21no—
828C22×C73—21no—
829C22×C73—21no—
830C22×C73—41no—
831C22×C73—41no—
832C22×C73—41no—
833C22×C73—41no—
834C22×C73—41no—
835C22×C73—41no—
836C22×C73—41no—
837C22×C73—41no—
838C22×C73—41no—
839C22×C73C23×D411yescharacteristic
840C2×D73—21no—
841C2×D73—21no—
842C2×D73—21no—
843C2×D73—44no—
844C2×D73—41no—
845C2×D73—41no—
846C2×D73—41no—
847C2×D73—41no—
848C2×D73—41no—
849C2×D73—41no—
850C2×D73—41no—
851C2×D73—41no—
852C2×D73—41no—
853C2×D73—84no—
854C2×D73—84no—
855C2×D73—84no—
856C2×D73#53212yes—
857C2×D73#57612yes—
858C2×D73#57712yes—
859C4×C73—21no—
860C4×C73—21no—
861C4×C73—21no—
862C4×C73—21no—
863C4×C73—21no—
864C4×C73—41no—
865C4×C73—41no—
866C4×C73—41no—
867C4×C73—41no—
868C4×C73—41no—
869C4×C73C22×#4111yescharacteristic
870C4×C73C22×#4111yescharacteristic
871Dic73—21no—
872Dic73—21no—
873Dic73—21no—
874Dic73—21no—
875Dic73—21no—
876Dic73—41no—
877Dic73—41no—
878Dic73—41no—
879Dic73—41no—
880Dic73—41no—
881Dic73#53212yes—
882C2×#3179—731nomaximal, Sylow
883C2×C73—41no—
884C2×C73—81no—
885C2×C73—81no—
886C2×C73—81no—
887C2×C73C2×#53211yescharacteristic
888C2×C73C2×#57611yescharacteristic
889C2×C73C2×#57711yescharacteristic
890D73—41no—
891D73—81no—
892D73—81no—
893D73—81no—
894D73#317914yesdirect product factor
895C2×#542—731no—
896C2×#540—731no—
897#3179—731no—
898#3179—731no—
899#3179—731no—
900#3179—731no—
901#3179—731no—
902#3179—731no—
903#3179—731no—
904#3179—731no—
905#3179—731no—
906#3179—731no—
907#3179—731no—
908#3179—731no—
909#3179—731no—
910#3179—731no—
911#3179—731no—
912#3179D7311yescharacteristic, direct product factor
913C2×#501—731no—
914C2×#496—731no—
915C2×#488—731no—
916C2×#486—731no—
917C2×#469—731no—
918C2×#468—731no—
919C2×#466—731no—
920C2×#465—731no—
921C2×#442—731no—
922C2×#440—731no—
923C2×C4×SD16—731no—
924C2×C4×D8—731no—
925C2×#405—731no—
926C73C2×#317911yescharacteristic, complemented, Sylow
927C22×SD16—731no—
928C22×SD16—731no—
929C22×D8—731no—
930C22×D8—731no—
931C22×M16—731no—
932C23×C8—731no—
933#542—731no—
934#542—731no—
935#542—731no—
936#542—731no—
937#542—731no—
938#542—731no—
939#542—731no—
940#542—1461no—
941#542—1461no—
942#542—1461no—
943#542—1461no—
944#542C2×D7311yescharacteristic, complemented
945#540—731no—
946#540—731no—
947#540—731no—
948#540—731no—
949#540—731no—
950#540—731no—
951#540—731no—
952#540—1461no—
953#540—1461no—
954#540—1461no—
955#540—1461no—
956#540C2×D7311yescharacteristic, complemented
957C2×C4⋊Q8—731no—
958C2×#127—731no—
959C2×#126—1461no—
960C2×#125—731no—
961C2×#124—731no—
962C2×#124—1461no—
963C2×#123—1461no—
964C2×#123—1461no—
965C2×#123—1461no—
966C2×C22⋊Q8—731no—
967C2×C22⋊Q8—1461no—
968C2×#121—731no—
969C2×#121—731no—
970C2×#121—731no—
971C2×#121—1461no—
972C2×#121—1461no—
973C2×C4×Q8—731no—
974C2×C4×D4—731no—
975C2×C4×D4—731no—
976C2×C4×D4—731no—
977C2×#117—731no—
978#501—731no—
979#501—731no—
980#501—731no—
981#501—731no—
982#501—731no—
983#501—731no—
984#501—731no—
985#501C2×D7311yescharacteristic, complemented
986#496—731no—
987#496—731no—
988#496—731no—
989#496—731no—
990#496—731no—
991#496—731no—
992#496—731no—
993#496C2×D7311yescharacteristic, complemented
994#488—731no—
995#488—731no—
996#488—731no—
997#488—731no—
998#488—731no—
999#488—731no—
1000#488—731no—
1001#488C2×D7311yescharacteristic, complemented
1002#486—731no—
1003#486—731no—
1004#486—731no—
1005#486—731no—
1006#486—731no—
1007#486—731no—
1008#486—731no—
1009#486C2×D7311yescharacteristic, complemented
1010#469—731no—
1011#469—731no—
1012#469—731no—
1013#469—731no—
1014#469—731no—
1015#469—731no—
1016#469—731no—
1017#469C2×D7311yescharacteristic, complemented
1018#468—731no—
1019#468—731no—
1020#468—731no—
1021#468—731no—
1022#468—731no—
1023#468—731no—
1024#468—731no—
1025#468C2×D7311yescharacteristic, complemented
1026#466—731no—
1027#466—731no—
1028#466—731no—
1029#466—731no—
1030#466—731no—
1031#466—731no—
1032#466—731no—
1033#466C2×D7311yescharacteristic, complemented
1034#465—731no—
1035#465—731no—
1036#465—731no—
1037#465—731no—
1038#465—731no—
1039#465—731no—
1040#465—731no—
1041#465C2×D7311yescharacteristic, complemented
1042#442—731no—
1043#442—731no—
1044#442—731no—
1045#442—731no—
1046#442—731no—
1047#442—731no—
1048#442—731no—
1049#442C2×D7311yescharacteristic, complemented
1050#440—731no—
1051#440—731no—
1052#440—731no—
1053#440—731no—
1054#440—731no—
1055#440—731no—
1056#440—731no—
1057#440C2×D7311yescharacteristic, complemented
1058C4×SD16—731no—
1059C4×SD16—731no—
1060C4×SD16—731no—
1061C4×SD16—731no—
1062C4×SD16—731no—
1063C4×SD16—731no—
1064C4×SD16—731no—
1065C4×SD16C2×D7311yescharacteristic, complemented
1066C4×D8—731no—
1067C4×D8—731no—
1068C4×D8—731no—
1069C4×D8—731no—
1070C4×D8—731no—
1071C4×D8—731no—
1072C4×D8—731no—
1073C4×D8C2×D7311yescharacteristic, complemented
1074C2×#107—731no—
1075C2×#107—731no—
1076C2×#106—731no—
1077C2×#106—731no—
1078C2×#103—731no—
1079C2×#103—731no—
1080C2×#102—731no—
1081C2×#102—731no—
1082C2×#102—731no—
1083C2×#102—731no—
1084C2×#102—731no—
1085C2×#102—731no—
1086#405—731no—
1087#405—731no—
1088#405—731no—
1089#405—731no—
1090#405—731no—
1091#405—731no—
1092#405—731no—
1093#405C2×D7311yescharacteristic, complemented
1094C2×#97—731no—
1095C2×#97—731no—
1096C2×C4×C8—731no—
1097C2×C4×C8—731no—
1098C22×Q8—731no—
1099C22×Q8—1461no—
1100C22×D4—731no—
1101C22×D4—731no—
1102C22×D4—731no—
1103C22×D4—1461no—
1104C22×D4—1461no—
1105C22×D4—1461no—
1106C22×D4—1461no—
1107C22×D4—1461no—
1108C23×C4—731no—
1109C23×C4—1461no—
1110C23×C4—1461no—
1111C23×C4—1461no—
1112C2×SD16—731no—
1113C2×SD16—731no—
1114C2×SD16—731no—
1115C2×SD16—731no—
1116C2×SD16—731no—
1117C2×SD16—731no—
1118C2×SD16—1464no—
1119C2×SD16—1464no—
1120C2×SD16C22×D7311yescharacteristic
1121C2×SD16C22×D7311yescharacteristic
1122C2×D8—731no—
1123C2×D8—731no—
1124C2×D8—731no—
1125C2×D8—731no—
1126C2×D8—731no—
1127C2×D8—731no—
1128C2×D8—1464no—
1129C2×D8—1464no—
1130C2×D8C22×D7311yescharacteristic
1131C2×D8C22×D7311yescharacteristic
1132C2×M16—731no—
1133C2×M16—731no—
1134C2×M16—731no—
1135C2×M16—1464no—
1136C2×M16C22×D7311yescharacteristic
1137C22×C8—731no—
1138C22×C8—731no—
1139C22×C8—731no—
1140C22×C8—731no—
1141C22×C8—731no—
1142C22×C8—731no—
1143C22×C8—731no—
1144C22×C8—1464no—
1145C22×C8C22×D7311yescharacteristic
1146C4⋊Q8—731no—
1147C4⋊Q8—731no—
1148C4⋊Q8—731no—
1149C4⋊Q8—1461no—
1150C4⋊Q8—1461no—
1151C4⋊Q8C22×D7311yescharacteristic
1152#127—731no—
1153#127—731no—
1154#127—731no—
1155#127—1461no—
1156#127—1461no—
1157#127C22×D7311yescharacteristic
1158#126—21no—
1159#126—1461no—
1160#126—1461no—
1161#126—1461no—
1162#126—1461no—
1163#126—1461no—
1164#126—1461no—
1165#126—1461no—
1166#125—731no—
1167#125—731no—
1168#125—731no—
1169#125—1461no—
1170#125—1461no—
1171#125C22×D7311yescharacteristic
1172#124—21no—
1173#124—731no—
1174#124—731no—
1175#124—731no—
1176#124—1461no—
1177#124—1461no—
1178#124—1461no—
1179#124—1461no—
1180#124—1461no—
1181#124—1461no—
1182#124—1461no—
1183#124—1461no—
1184#124—1461no—
1185#124C22×D7311yescharacteristic
1186#123—21no—
1187#123—21no—
1188#123—21no—
1189#123—1461no—
1190#123—1461no—
1191#123—1461no—
1192#123—1461no—
1193#123—1461no—
1194#123—1461no—
1195#123—1461no—
1196#123—1461no—
1197#123—1461no—
1198#123—1461no—
1199#123—1461no—
1200#123—1461no—
1201#123—1461no—
1202#123—1461no—
1203#123—1461no—
1204#123—1461no—
1205#123—1461no—
1206#123—1461no—
1207#123—1461no—
1208#123—1461no—
1209#123—1461no—
1210C22⋊Q8—21no—
1211C22⋊Q8—731no—
1212C22⋊Q8—731no—
1213C22⋊Q8—731no—
1214C22⋊Q8—1461no—
1215C22⋊Q8—1461no—
1216C22⋊Q8—1461no—
1217C22⋊Q8—1461no—
1218C22⋊Q8—1461no—
1219C22⋊Q8—1461no—
1220C22⋊Q8—1461no—
1221C22⋊Q8—1461no—
1222C22⋊Q8—1461no—
1223C22⋊Q8C22×D7311yescharacteristic
1224#121—21no—
1225#121—21no—
1226#121—731no—
1227#121—731no—
1228#121—731no—
1229#121—731no—
1230#121—731no—
1231#121—731no—
1232#121—731no—
1233#121—731no—
1234#121—731no—
1235#121—1461no—
1236#121—1461no—
1237#121—1461no—
1238#121—1461no—
1239#121—1461no—
1240#121—1461no—
1241#121—1461no—
1242#121—1461no—
1243#121—1461no—
1244#121—1461no—
1245#121—1461no—
1246#121—1461no—
1247#121—1461no—
1248#121—1461no—
1249#121—1461no—
1250#121—1461no—
1251#121—1461no—
1252#121—1461no—
1253#121—1461no—
1254#121—1461no—
1255#121C22×D7311yescharacteristic
1256#121C22×D7311yescharacteristic
1257#121C22×D7311yescharacteristic
1258C4×Q8—731no—
1259C4×Q8—731no—
1260C4×Q8—731no—
1261C4×Q8—1461no—
1262C4×Q8—1461no—
1263C4×Q8C22×D7311yescharacteristic
1264C4×D4—731no—
1265C4×D4—731no—
1266C4×D4—731no—
1267C4×D4—731no—
1268C4×D4—731no—
1269C4×D4—731no—
1270C4×D4—731no—
1271C4×D4—731no—
1272C4×D4—731no—
1273C4×D4—1461no—
1274C4×D4—1461no—
1275C4×D4—1461no—
1276C4×D4—1461no—
1277C4×D4—1461no—
1278C4×D4—1461no—
1279C4×D4C22×D7311yescharacteristic
1280C4×D4C22×D7311yescharacteristic
1281C4×D4C22×D7311yescharacteristic
1282#117—731no—
1283#117—731no—
1284#117—731no—
1285#117—731no—
1286#117—731no—
1287#117—731no—
1288#117—731no—
1289#117C22×D7311yescharacteristic
1290C2×C4⋊C4—731no—
1291C2×C4⋊C4—731no—
1292C2×C4⋊C4—731no—
1293C2×C4⋊C4—731no—
1294C2×C4⋊C4—731no—
1295C2×C4⋊C4—731no—
1296C2×C4⋊C4—1461no—
1297C2×C4⋊C4—1461no—
1298C2×C4⋊C4—1461no—
1299C2×C4⋊C4—1461no—
1300C2×C4⋊C4—1461no—
1301C2×C22⋊C4—731no—
1302C2×C22⋊C4—731no—
1303C2×C22⋊C4—1461no—
1304C2×C22⋊C4—1461no—
1305C2×C22⋊C4—1461no—
1306C2×C22⋊C4—1461no—
1307C2×C22⋊C4—1461no—
1308C2×C22⋊C4—1461no—
1309C2×C22⋊C4—1461no—
1310C2×C22⋊C4—1461no—
1311C2×C22⋊C4—1461no—
1312C2×C42—731no—
1313C2×C42—731no—
1314C2×C42—1461no—
1315#107—731no—
1316#107—731no—
1317#107—731no—
1318#107—731no—
1319#107—731no—
1320#107—731no—
1321#107C22×D7311yescharacteristic
1322#107C22×D7311yescharacteristic
1323#106—731no—
1324#106—731no—
1325#106—731no—
1326#106—731no—
1327#106—731no—
1328#106—731no—
1329#106C22×D7311yescharacteristic
1330#106C22×D7311yescharacteristic
1331#103—731no—
1332#103—731no—
1333#103—731no—
1334#103—731no—
1335#103—731no—
1336#103—731no—
1337#103C22×D7311yescharacteristic
1338#103C22×D7311yescharacteristic
1339#102—731no—
1340#102—731no—
1341#102—731no—
1342#102—731no—
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#102—731no—
1353#102—731no—
1354#102—731no—
1355#102—731no—
1356#102—731no—
1357#102C22×D7311yescharacteristic
1358#102C22×D7311yescharacteristic
1359#102C22×D7311yescharacteristic
1360#102C22×D7311yescharacteristic
1361#102C22×D7311yescharacteristic
1362#102C22×D7311yescharacteristic
1363#97—731no—
1364#97—731no—
1365#97—731no—
1366#97—731no—
1367#97—731no—
1368#97—731no—
1369#97C22×D7311yescharacteristic
1370#97C22×D7311yescharacteristic
1371C4×C8—731no—
1372C4×C8—731no—
1373C4×C8—731no—
1374C4×C8—731no—
1375C4×C8—731no—
1376C4×C8—731no—
1377C4×C8C22×D7311yescharacteristic
1378C4×C8C22×D7311yescharacteristic
1379C24—731no—
1380C24—1461no—
1381C24—1461no—
1382C24—1461no—
1383C2×Q8—21no—
1384C2×Q8—5842no—
1385C2×Q8—731no—
1386C2×Q8—1461no—
1387C2×Q8—1461no—
1388C2×Q8—1461no—
1389C2×Q8—1462no—
1390C2×Q8—1462no—
1391C2×Q8—1461no—
1392C2×Q8C23×D7311yescharacteristic
1393C2×D4—21no—
1394C2×D4—21no—
1395C2×D4—21no—
1396C2×D4—21no—
1397C2×D4—21no—
1398C2×D4—5842no—
1399C2×D4—5842no—
1400C2×D4—5842no—
1401C2×D4—5842no—
1402C2×D4—5842no—
1403C2×D4—731no—
1404C2×D4—731no—
1405C2×D4—731no—
1406C2×D4—1461no—
1407C2×D4—1461no—
1408C2×D4—1461no—
1409C2×D4—1462no—
1410C2×D4—1462no—
1411C2×D4—1462no—
1412C2×D4—1462no—
1413C2×D4—1462no—
1414C2×D4—1462no—
1415C2×D4—1461no—
1416C2×D4—1461no—
1417C2×D4—1461no—
1418C2×D4—1461no—
1419C2×D4—1461no—
1420C2×D4—1461no—
1421C2×D4—1461no—
1422C2×D4—1461no—
1423C2×D4—1461no—
1424C2×D4—1461no—
1425C2×D4—1461no—
1426C2×D4—1461no—
1427C2×D4—1461no—
1428C2×D4—1461no—
1429C2×D4—1461no—
1430C2×D4C23×D7311yescharacteristic
1431C2×D4C23×D7311yescharacteristic
1432C2×D4C23×D7311yescharacteristic
1433C22×C4—21no—
1434C22×C4—21no—
1435C22×C4—21no—
1436C22×C4—5842no—
1437C22×C4—5842no—
1438C22×C4—5842no—
1439C22×C4—731no—
1440C22×C4—731no—
1441C22×C4—731no—
1442C22×C4—731no—
1443C22×C4—731no—
1444C22×C4—731no—
1445C22×C4—731no—
1446C22×C4—731no—
1447C22×C4—731no—
1448C22×C4—1461no—
1449C22×C4—1461no—
1450C22×C4—1461no—
1451C22×C4—1461no—
1452C22×C4—1461no—
1453C22×C4—1461no—
1454C22×C4—1461no—
1455C22×C4—1461no—
1456C22×C4—1462no—
1457C22×C4—1462no—
1458C22×C4—1461no—
1459C22×C4—1461no—
1460C22×C4—1461no—
1461C22×C4—1461no—
1462C22×C4—1461no—
1463C22×C4—1461no—
1464C22×C4C23×D7311yescharacteristic
1465SD16—22no—
1466SD16—22no—
1467SD16—1462no—
1468SD16—1462no—
1469SD16—1462no—
1470SD16—1462no—
1471SD16—1462no—
1472SD16—1462no—
1473D8—22no—
1474D8—22no—
1475D8—1462no—
1476D8—1462no—
1477D8—1462no—
1478D8—1462no—
1479D8—1462no—
1480D8—1462no—
1481M16—22no—
1482M16—1462no—
1483M16—1462no—
1484M16—1462no—
1485C2×C8—22no—
1486C2×C8—731no—
1487C2×C8—731no—
1488C2×C8—734no—
1489C2×C8—734no—
1490C2×C8—731no—
1491C2×C8—731no—
1492C2×C8—1462no—
1493C2×C8—1462no—
1494C2×C8—1462no—
1495C2×C8—1462no—
1496C2×C8—1462no—
1497C2×C8C23×D7311yescharacteristic
1498C2×C8C23×D7311yescharacteristic
1499C2×C8C23×D7311yescharacteristic
1500C2×C8C23×D7311yescharacteristic
1501C4⋊C4—21no—
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—731no—
1507C4⋊C4—731no—
1508C4⋊C4—731no—
1509C4⋊C4—731no—
1510C4⋊C4—731no—
1511C4⋊C4—731no—
1512C4⋊C4—731no—
1513C4⋊C4—731no—
1514C4⋊C4—731no—
1515C4⋊C4—731no—
1516C4⋊C4—1461no—
1517C4⋊C4—1461no—
1518C4⋊C4—1461no—
1519C4⋊C4—1461no—
1520C4⋊C4—1461no—
1521C4⋊C4—1461no—
1522C4⋊C4—1461no—
1523C4⋊C4—1461no—
1524C4⋊C4—1461no—
1525C4⋊C4—1461no—
1526C4⋊C4—1461no—
1527C4⋊C4—1461no—
1528C4⋊C4—1461no—
1529C4⋊C4—1461no—
1530C4⋊C4—1461no—
1531C4⋊C4—1461no—
1532C4⋊C4—1461no—
1533C4⋊C4—1461no—
1534C4⋊C4—1461no—
1535C4⋊C4D4×D7311yescharacteristic
1536C4⋊C4D4×D7311yescharacteristic
1537C4⋊C4C23×D7311yescharacteristic
1538C4⋊C4C23×D7311yescharacteristic
1539C4⋊C4C23×D7311yescharacteristic
1540C4⋊C4C23×D7311yescharacteristic
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—731no—
1551C22⋊C4—731no—
1552C22⋊C4—731no—
1553C22⋊C4—731no—
1554C22⋊C4—731no—
1555C22⋊C4—731no—
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—
1574C22⋊C4—1461no—
1575C22⋊C4—1461no—
1576C22⋊C4—1461no—
1577C22⋊C4—1461no—
1578C22⋊C4—1461no—
1579C22⋊C4—1461no—
1580C22⋊C4—1461no—
1581C22⋊C4—1461no—
1582C22⋊C4—1461no—
1583C22⋊C4D4×D7311yescharacteristic
1584C22⋊C4D4×D7311yescharacteristic
1585C42—21no—
1586C42—731no—
1587C42—731no—
1588C42—731no—
1589C42—731no—
1590C42—731no—
1591C42—731no—
1592C42—1461no—
1593C42—1461no—
1594C42—1461no—
1595C42C23×D7311yescharacteristic
1596C42C23×D7311yescharacteristic
1597C23—21no—
1598C23—21no—
1599C23—21no—
1600C23—2922no—
1601C23—2922no—
1602C23—2922no—
1603C23—2922no—
1604C23—2922no—
1605C23—2922no—
1606C23—2922no—
1607C23—2922no—
1608C23—2922no—
1609C23—731no—
1610C23—731no—
1611C23—1462no—
1612C23—1462no—
1613C23—1462no—
1614C23—1461no—
1615C23—1461no—
1616C23—1461no—
1617C23C2×D4×D7311yescharacteristic
1618Q8—21no—
1619Q8—21no—
1620Q8—81no—
1621Q8—2922no—
1622Q8—5841no—
1623Q8—5841no—
1624Q8—5841no—
1625Q8—1461no—
1626Q8—1461no—
1627D4—21no—
1628D4—21no—
1629D4—21no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—81no—
1634D4—81no—
1635D4—81no—
1636D4—81no—
1637D4—81no—
1638D4—2922no—
1639D4—2922no—
1640D4—2922no—
1641D4—5841no—
1642D4—5841no—
1643D4—5841no—
1644D4—5841no—
1645D4—5841no—
1646D4—5841no—
1647D4—5841no—
1648D4—5841no—
1649D4—5841no—
1650D4—5841no—
1651D4—5841no—
1652D4—5841no—
1653D4—5841no—
1654D4—5841no—
1655D4—5841no—
1656D4—1461no—
1657D4—1461no—
1658D4—1461no—
1659D4—1461no—
1660D4—1461no—
1661D4—1461no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—81no—
1670C2×C4—81no—
1671C2×C4—81no—
1672C2×C4—2922no—
1673C2×C4—2922no—
1674C2×C4—2922no—
1675C2×C4—2922no—
1676C2×C4—2922no—
1677C2×C4—5841no—
1678C2×C4—5841no—
1679C2×C4—5841no—
1680C2×C4—5841no—
1681C2×C4—5841no—
1682C2×C4—5841no—
1683C2×C4—5841no—
1684C2×C4—5841no—
1685C2×C4—5841no—
1686C2×C4—731no—
1687C2×C4—732no—
1688C2×C4—732no—
1689C2×C4—731no—
1690C2×C4—731no—
1691C2×C4—731no—
1692C2×C4—731no—
1693C2×C4—731no—
1694C2×C4—1462no—
1695C2×C4—1462no—
1696C2×C4—1462no—
1697C2×C4—1462no—
1698C2×C4—1462no—
1699C2×C4—1462no—
1700C2×C4—1461no—
1701C2×C4—1461no—
1702C2×C4—1461no—
1703C2×C4—1461no—
1704C2×C4—1461no—
1705C2×C4—1462no—
1706C2×C4—1461no—
1707C2×C4—1461no—
1708C2×C4C2×D4×D7311yescharacteristic
1709C2×C4C2×D4×D7311yescharacteristic
1710C2×C4C2×D4×D7311yescharacteristic
1711C2×C4C2×D4×D7311yescharacteristic
1712C2×C4C2×D4×D7311yescharacteristic
1713C2×C4C24×D7311yescharacteristic
1714C8—21no—
1715C8—21no—
1716C8—732no—
1717C8—732no—
1718C8—1461no—
1719C8—1461no—
1720C8#41×D7312yes—
1721C8#41×D7312yes—
1722C22—21no—
1723C22—21no—
1724C22—21no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—2924no—
1735C22—2921no—
1736C22—2921no—
1737C22—2921no—
1738C22—2921no—
1739C22—2921no—
1740C22—2921no—
1741C22—2921no—
1742C22—2921no—
1743C22—2921no—
1744C22—5844no—
1745C22—5844no—
1746C22—5844no—
1747C22—732no—
1748C22—732no—
1749C22—732no—
1750C22—1461no—
1751C22—1461no—
1752C22—1461no—
1753C22C22×D4×D7311yescharacteristic
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—21no—
1758C4—21no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—41no—
1763C4—41no—
1764C4—2921no—
1765C4—2921no—
1766C4—2921no—
1767C4—2921no—
1768C4—2921no—
1769C4—732no—
1770C4—1461no—
1771C4—1461no—
1772C4—1461no—
1773C4—1461no—
1774C4—1461no—
1775C4C2×#41×D7311yescharacteristic
1776C4C2×#41×D7311yescharacteristic
1777C2—41no—
1778C2—81no—
1779C2—81no—
1780C2—81no—
1781C2—2921no—
1782C2—5841no—
1783C2—5841no—
1784C2—5841no—
1785C2—734no—
1786C2#532×D7311yescharacteristic
1787C2#576×D7311yescharacteristic
1788C2#577×D7311yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3179C2
socleC22×C73C23×D4
hypercenter#3179D73
hypocenterC73C2×#3179
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ #117 ◁ #3179

Complements

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

NH ≅ G/Ntype
1. #542×D73C2semidirect
2. #540×D73C2semidirect
3. #22620621C2semidirect
4. #22620620C2semidirect
5. #22620619C2semidirect
6. #22620618C2semidirect
7. #22620617C2semidirect
8. #22620616C2semidirect
9. #22620615C2semidirect
10. #22620614C2semidirect
11. #22620613C2semidirect
12. #22620612C2semidirect
13. #22620611C2semidirect
14. #22620610C2semidirect
15. #22620609C2semidirect
16. #22620608C2semidirect
17. #22620607C2semidirect
18. #501×D73C2semidirect
19. #496×D73C2semidirect
20. #488×D73C2semidirect
21. #486×D73C2semidirect
22. #469×D73C2semidirect
23. #468×D73C2semidirect
24. #466×D73C2semidirect
25. #465×D73C2semidirect
26. #442×D73C2semidirect
27. #440×D73C2semidirect
28. C4×SD16×D73C2semidirect
29. C4×D8×D73C2semidirect
30. #405×D73C2semidirect
31. C73×#3179C2semidirect
38. #17989211C22semidirect
39. #17989210C22semidirect
40. #17989209C22semidirect
41. #17989208C22semidirect
43. #17989206C22semidirect
45. #17989204C22semidirect
47. #17989202C22semidirect
49. #17989193C22semidirect
50. #17989192C22semidirect
51. #17989191C22semidirect
52. #17989190C22semidirect
53. #17989190C22semidirect
56. #17989188C22semidirect
57. #17989188C22semidirect
81. #17988997C22semidirect
82. #17988996C22semidirect
83. #17988995C22semidirect
84. #17988995C22semidirect
85. #17988994C22semidirect
86. #17988994C22semidirect
87. #17988993C22semidirect
88. #17988977C22semidirect
89. #17988976C22semidirect
90. #17988975C22semidirect
91. #17988975C22semidirect
92. #17988974C22semidirect
93. #17988973C22semidirect
94. #17988973C22semidirect
95. #17988944C22semidirect
96. #17988943C22semidirect
97. #17988943C22semidirect
98. #17988942C22semidirect
99. #17988941C22semidirect
100. #17988940C22semidirect
101. #17988940C22semidirect
102. #17988935C22semidirect
103. #17988934C22semidirect
104. #17988933C22semidirect
105. #17988932C22semidirect
106. #17988932C22semidirect
107. #17988932C22semidirect
108. #17988932C22semidirect
109. #17988841C22semidirect
110. #17988840C22semidirect
111. #17988839C22semidirect
112. #17988839C22semidirect
113. #17988838C22semidirect
114. #17988838C22semidirect
115. #17988837C22semidirect
116. #17988836C22semidirect
117. #17988835C22semidirect
118. #17988834C22semidirect
119. #17988833C22semidirect
120. #17988832C22semidirect
121. #17988831C22semidirect
122. #17988830C22semidirect
123. #17988824C22semidirect
124. #17988823C22semidirect
125. #17988822C22semidirect
126. #17988822C22semidirect
127. #17988821C22semidirect
128. #17988821C22semidirect
129. #17988820C22semidirect
130. #17988819C22semidirect
131. #17988818C22semidirect
132. #17988817C22semidirect
133. #17988816C22semidirect
134. #17988815C22semidirect
135. #17988814C22semidirect
136. #17988813C22semidirect
137. #17988700C22semidirect
138. #17988699C22semidirect
139. #17988698C22semidirect
140. #17988697C22semidirect
141. #17988697C22semidirect
142. #17988696C22semidirect
143. #17988696C22semidirect
144. #17988690C22semidirect
145. #17988689C22semidirect
146. #17988688C22semidirect
147. #17988687C22semidirect
148. #17988686C22semidirect
149. #17988685C22semidirect
150. #17988684C22semidirect
151. #17988678C22semidirect
152. C4×#11924017C22semidirect
153. SD16×Dic73C22semidirect
154. C4×#11924015C22semidirect
155. #17988674C22semidirect
156. C4×#11924016C22semidirect
157. #17988672C22semidirect
158. C4×D584C22semidirect
159. D8×Dic73C22semidirect
160. #17988669C22semidirect
161. C4×#11924013C22semidirect
162. C4×#11924013C22semidirect
163. #17988667C22semidirect
164. #17988667C22semidirect
177. #17988545C22semidirect
178. #17988544C22semidirect
179. #17988544C22semidirect
180. #17988543C22semidirect
181. #17988542C22semidirect
182. #17988541C22semidirect
183. #17988541C22semidirect
188. #542×C73C22semidirect
189. #540×C73C22semidirect
190. #501×C73C22semidirect
191. #496×C73C22semidirect
192. #488×C73C22semidirect
193. #486×C73C22semidirect
194. #469×C73C22semidirect
195. #468×C73C22semidirect
196. #466×C73C22semidirect
197. #465×C73C22semidirect
198. #442×C73C22semidirect
199. #440×C73C22semidirect
200. C4×SD16×C73C22semidirect
201. C4×D8×C73C22semidirect
202. #405×C73C22semidirect
894. D73#3179direct (N × H)
912. #3179D73direct (N × H)
926. C73C2×#3179semidirect
944. #542C2×D73semidirect
956. #540C2×D73semidirect
985. #501C2×D73semidirect
993. #496C2×D73semidirect
1001. #488C2×D73semidirect
1009. #486C2×D73semidirect
1017. #469C2×D73semidirect
1025. #468C2×D73semidirect
1033. #466C2×D73semidirect
1041. #465C2×D73semidirect
1049. #442C2×D73semidirect
1057. #440C2×D73semidirect
1065. C4×SD16C2×D73semidirect
1073. C4×D8C2×D73semidirect
1093. #405C2×D73semidirect

Maximal subgroups

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

subgroupindex
#542×D732
#540×D732
#226206212
#226206202
#226206192
#226206182
#226206172
#226206162
#226206152
#226206142
#226206132
#226206122
#226206112
#226206102
#226206092
#226206082
#226206072
#501×D732
#496×D732
#488×D732
#486×D732
#469×D732
#468×D732
#466×D732
#465×D732
#442×D732
#440×D732
C4×SD16×D732
C4×D8×D732
#405×D732
C73×#31792
C2×#317973