Finite Group Databasebeta

← #33967897

Subgroups — #33967897

Order 18688.

2178 conjugacy classes of subgroups.

The subgroup lattice has 1832 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623537C211yesmaximal, characteristic, complemented
2#22623417C211yesmaximal, characteristic, complemented
3#22622970C211yesmaximal, characteristic, complemented
4#22622827C211yesmaximal, characteristic, complemented
5#22622720C211yesmaximal, characteristic, complemented
6#22622635C211yesmaximal, characteristic, complemented
7#22622407C211yesmaximal, characteristic, complemented
8#22622400C211yesmaximal, characteristic, complemented
9#22622283C211yesmaximal, characteristic, complemented
10#22622078C211yesmaximal, characteristic, complemented
11#22622071C211yesmaximal, characteristic, complemented
12#22621898C211yesmaximal, characteristic, complemented
13#22621891C211yesmaximal, characteristic, complemented
14#22621750C211yesmaximal, characteristic, complemented
15#22621739C211yesmaximal, characteristic, complemented
16#22621605C211yesmaximal, characteristic, complemented
17#22621410C211yesmaximal, characteristic, complemented
18#22621408C211yesmaximal, characteristic, complemented
19#22620666C211yesmaximal, characteristic, complemented
20#22620625C211yesmaximal, characteristic, complemented
21#22620080C211yesmaximal, characteristic, complemented
22#22620073C211yesmaximal, characteristic, complemented
23#22620065C211yesmaximal, characteristic, complemented
24#22620020C211yesmaximal, characteristic, complemented
25#22620020C211yesmaximal, characteristic, complemented
26#22620018C211yesmaximal, characteristic, complemented
27#22618942C211yesmaximal, characteristic, complemented
28#22618736C211yesmaximal, characteristic, complemented
29C2×#17988700C211yesmaximal, characteristic, complemented
30#442×D73C211yesmaximal, characteristic, complemented
31C73×#3180C211yesmaximal, characteristic, complemented
32C2×#41×D73—21no—
33C2×#14556618C2211yescharacteristic
34C22×D584C2211yescharacteristic
35C2×D8×D73C2211yescharacteristic
36#17989319C2211yescharacteristic, complemented
37#17989295C2211yescharacteristic, complemented
38#17989293C2211yescharacteristic, complemented
39#17989290C2211yescharacteristic, complemented
40#17989289C2211yescharacteristic, complemented
41#17989288—21no—
42#17989262—21no—
43#17989260—21no—
44#17989257C2211yescharacteristic, complemented
45#17989252C2211yescharacteristic, complemented
46#17989245—21no—
47#17989240C2211yescharacteristic, complemented
48#17989237C2211yescharacteristic
49#17989237C2211yescharacteristic, complemented
50#17989230—21no—
51#17989230C2211yescharacteristic, complemented
52#17989229—21no—
53#17989228C2211yescharacteristic, complemented
54#17989226—21no—
55#17989226—21no—
56#17989222C2211yescharacteristic, complemented
57#17989221C2211yescharacteristic
58#17989221C2211yescharacteristic, complemented
59#17989221C2211yescharacteristic, complemented
60#17989134C2211yescharacteristic, complemented
61#17989134C2211yescharacteristic, complemented
62#17989134C2211yescharacteristic, complemented
63#17989124C2211yescharacteristic, complemented
64#17989115—21no—
65#17989099—21no—
66#17989096—21no—
67#17989096—21no—
68#17989096—21no—
69#17989094—21no—
70C4×#11924029C2211yescharacteristic, complemented
71C4×#11924028C2211yescharacteristic
72C2×C4×D292C2211yescharacteristic, complemented
73C2×C4×D292C2211yescharacteristic, complemented
74C4×D4×D73—21no—
75C4×D4×D73C2211yescharacteristic, complemented
76C4×D4×D73C2211yescharacteristic, complemented
77C4×D4×D73C2211yescharacteristic, complemented
78#17988995C2211yescharacteristic, complemented
79#17988984C2211yescharacteristic, complemented
80#17988973C2211yescharacteristic, complemented
81#17988962C2211yescharacteristic, complemented
82#17988950C2211yescharacteristic, complemented
83#17988948C2211yescharacteristic, complemented
84#17988932C2211yescharacteristic, complemented
85#17988932C2211yescharacteristic, complemented
86#17988916C2211yescharacteristic, complemented
87#17988915C2211yescharacteristic, complemented
88#17988914C2211yescharacteristic, complemented
89#17988910C2211yescharacteristic, complemented
90#17988907C2211yescharacteristic, complemented
91#17988907C2211yescharacteristic, complemented
92#17988904C2211yescharacteristic, complemented
93#17988904C2211yescharacteristic, complemented
94#17988903C2211yescharacteristic, complemented
95#17988903C2211yescharacteristic, complemented
96#17988902C2211yescharacteristic, complemented
97#17988898C2211yescharacteristic, complemented
98#17988890C2211yescharacteristic, complemented
99#17988889C2211yescharacteristic, complemented
100#17988884C2211yescharacteristic, complemented
101#17988884C2211yescharacteristic, complemented
102#17988876C2211yescharacteristic, complemented
103#17988876C2211yescharacteristic, complemented
104#17988875C2211yescharacteristic, complemented
105#17988875C2211yescharacteristic, complemented
106#17988874C2211yescharacteristic, complemented
107#17988874C2211yescharacteristic, complemented
108#17988870C2211yescharacteristic, complemented
109#17988866C2211yescharacteristic, complemented
110#17988841C2211yescharacteristic, complemented
111#17988839C2211yescharacteristic, complemented
112#17988839C2211yescharacteristic, complemented
113#17988837C2211yescharacteristic, complemented
114#17988824C2211yescharacteristic, complemented
115#17988822C2211yescharacteristic, complemented
116#17988819C2211yescharacteristic, complemented
117#17988813C2211yescharacteristic, complemented
118#17988805C2211yescharacteristic, complemented
119#17988804C2211yescharacteristic, complemented
120#17988799C2211yescharacteristic, complemented
121#17988799C2211yescharacteristic, complemented
122#17988785C2211yescharacteristic, complemented
123#17988781C2211yescharacteristic
124#17988781C2211yescharacteristic, complemented
125#17988781C2211yescharacteristic, complemented
126#17988780C2211yescharacteristic, complemented
127#17988780C2211yescharacteristic, complemented
128#17988779C2211yescharacteristic, complemented
129#17988779C2211yescharacteristic, complemented
130#17988737C2211yescharacteristic, complemented
131#17988736C2211yescharacteristic, complemented
132#17988735C2211yescharacteristic, complemented
133#17988731C2211yescharacteristic, complemented
134#17988722C2211yescharacteristic
135#17988722C2211yescharacteristic, complemented
136#17988722C2211yescharacteristic, complemented
137#17988720C2211yescharacteristic
138#17988720C2211yescharacteristic, complemented
139#17988720C2211yescharacteristic, complemented
140#17988719C2211yescharacteristic, complemented
141#17988719C2211yescharacteristic, complemented
142#17988715C2211yescharacteristic, complemented
143#17988715C2211yescharacteristic, complemented
144#17988700C2211yescharacteristic
145#17988700C2211yescharacteristic
146#17988700C2211yescharacteristic, complemented
147#17988700C2211yescharacteristic, complemented
148#17988700C2211yescharacteristic, complemented
149#17988700C2211yescharacteristic, complemented
150#17988700C2211yescharacteristic, complemented
151#17988700C2211yescharacteristic, complemented
152#17988699C2211yescharacteristic, complemented
153#17988698C2211yescharacteristic
154#17988697C2211yescharacteristic, complemented
155#17988697C2211yescharacteristic, complemented
156#17988697C2211yescharacteristic, complemented
157#17988697C2211yescharacteristic, complemented
158#17988697C2211yescharacteristic, complemented
159#17988697C2211yescharacteristic, complemented
160#17988696C2211yescharacteristic, complemented
161#17988696C2211yescharacteristic, complemented
162#17988685C2211yescharacteristic, complemented
163#17988685C2211yescharacteristic, complemented
164SD16×Dic73C2211yescharacteristic, complemented
165#17988672C2211yescharacteristic, complemented
166#17988669C2211yescharacteristic
167#17988667C2211yescharacteristic, complemented
168#17988660C2211yescharacteristic, complemented
169#17988660C2211yescharacteristic, complemented
170#17988658C2211yescharacteristic, complemented
171#17988658C2211yescharacteristic, complemented
172C8×C22⋊D73C2211yescharacteristic, complemented
173C8×C22⋊D73C2211yescharacteristic, complemented
174#17988644C2211yescharacteristic, complemented
175#17988642C2211yescharacteristic, complemented
176#17988642C2211yescharacteristic, complemented
177#17988628C2211yescharacteristic, complemented
178C2×#14556523C2211yescharacteristic, complemented
179#106×D73C2211yescharacteristic, complemented
180#17988590C2211yescharacteristic, complemented
181#17988587C2211yescharacteristic, complemented
182C2×#14556513C2211yescharacteristic, complemented
183C2×#14556513C2211yescharacteristic, complemented
184#102×D73C2211yescharacteristic, complemented
185#102×D73C2211yescharacteristic, complemented
186#17988539C2211yescharacteristic, complemented
187#97×D73C2211yescharacteristic, complemented
188#532×C73C2211yescharacteristic, complemented
189#529×C73C2211yescharacteristic, complemented
190#501×C73C2211yescharacteristic, complemented
191#496×C73C2211yescharacteristic, complemented
192#490×C73C2211yescharacteristic, complemented
193#489×C73C2211yescharacteristic, complemented
194#466×C73C2211yescharacteristic, complemented
195#466×C73C2211yescharacteristic, complemented
196#465×C73C2211yescharacteristic, complemented
197#465×C73C2211yescharacteristic, complemented
198#442×C73C2211yescharacteristic, complemented
199#442×C73C2211yescharacteristic, complemented
200#440×C73C2211yescharacteristic, complemented
201#440×C73C2211yescharacteristic, complemented
202C2×#97×C73C2211yescharacteristic, complemented
203C2×#11924029—21no—
204C2×#11924029C2311yescharacteristic
205C2×#11924028—21no—
206C2×#11924028—21no—
207C2×#11924028—21no—
208C2×#11924028D411yescharacteristic
209C2×#11924027—21no—
210C2×#11924027—21no—
211C2×#11924027—21no—
212#41×D73—48no—
213C2×Q8×D73—21no—
214C22×D292C2311yescharacteristic
215C22×D292C2311yescharacteristic
216C2×D4×D73—21no—
217C2×D4×D73—21no—
218C2×D4×D73—21no—
219C2×D4×D73—21no—
220C2×D4×D73C2311yescharacteristic
221C2×D4×D73C2311yescharacteristic
222C2×D4×D73C2311yescharacteristic
223C22×C4×D73—21no—
224C22×C4×D73—21no—
225C22×C4×D73—21no—
226C22×C4×D73—21no—
227C22×C4×D73—21no—
228#14556618—24no—
229C2×#11924015C2311yescharacteristic
230C2×#11924015C2311yescharacteristic
231C2×D584—24no—
232C2×D584C2311yescharacteristic
233C2×D584C2311yescharacteristic
234C2×D584C2311yescharacteristic
235C2×D584C2311yescharacteristic
236C2×#11924013C2311yescharacteristic
237C2×#11924013C2311yescharacteristic
238C2×#11924013C2311yescharacteristic
239C2×#11924013C2311yescharacteristic
240C2×#11924013C2311yescharacteristic
241C2×#11924013C2311yescharacteristic
242D8×D73—24no—
243C2×#11924011C2311yescharacteristic
244C2×#11924011C2311yescharacteristic
245C2×C8×D73C2311yescharacteristic
246C2×C8×D73C2311yescharacteristic
247#14556590C2311yescharacteristic
248#14556590C2311yescharacteristic
249#14556590C2311yescharacteristic
250#14556587C2311yescharacteristic
251#14556587C2311yescharacteristic
252#14556587C2311yescharacteristic
253#14556586—21no—
254#14556586—21no—
255#14556584—21no—
256#14556582C2311yescharacteristic
257#14556581—21no—
258#14556580C2311yescharacteristic
259#14556577—21no—
260#14556577—21no—
261#14556577—21no—
262#14556577—21no—
263#14556576—21no—
264#14556576—21no—
265#14556576—21no—
266#14556576—21no—
267#14556576—21no—
268#14556575—21no—
269#14556575—21no—
270#14556573—21no—
271#14556573—21no—
272#14556573—21no—
273#14556573—21no—
274#14556572—21no—
275#14556572—21no—
276#14556571—21no—
277#14556571—21no—
278#14556569—21no—
279#14556569—21no—
280#14556569—21no—
281#14556569—21no—
282#14556568—21no—
283#14556568—21no—
284#14556568—21no—
285#14556567—21no—
286#14556567—21no—
287#14556567C2311yescharacteristic
288#14556566—21no—
289#14556566—21no—
290#14556566C2311yescharacteristic
291#14556566C2311yescharacteristic
292#14556566C2311yescharacteristic
293#14556566C2311yescharacteristic
294#14556564—21no—
295#14556564—21no—
296#14556564—21no—
297#14556564—21no—
298#14556564—21no—
299#14556564—21no—
300#14556564—21no—
301#14556563—21no—
302#14556563—21no—
303#14556563—21no—
304#14556562—21no—
305#14556562—21no—
306#14556562C2311yescharacteristic
307#14556562C2311yescharacteristic
308#14556562C2311yescharacteristic
309#14556561—21no—
310#14556561—21no—
311#14556561—21no—
312#14556561—21no—
313#14556561—21no—
314#14556559—21no—
315#14556559—21no—
316#14556559—21no—
317#14556559—21no—
318#14556559—21no—
319Q8×Dic73C2311yescharacteristic
320C4×Dic146D411yescharacteristic
321C4×Dic146C2311yescharacteristic
322C4×D292—21no—
323C4×D292—21no—
324C4×D292—21no—
325C4×D292—21no—
326C4×D292—21no—
327C4×D292—21no—
328C4×D292D411yescharacteristic
329C4×D292C2311yescharacteristic
330C4×D292C2311yescharacteristic
331C4×D292C2311yescharacteristic
332C4×D292C2311yescharacteristic
333C4×D292C2311yescharacteristic
334C4×D292C2311yescharacteristic
335C4×D292C2311yescharacteristic
336C4×D292C2311yescharacteristic
337C4×D292C2311yescharacteristic
338D4×Dic73—21no—
339D4×Dic73C2311yescharacteristic
340D4×Dic73C2311yescharacteristic
341D4×Dic73C2311yescharacteristic
342#14556553—21no—
343#14556553—21no—
344#14556553C2311yescharacteristic
345#14556553C2311yescharacteristic
346#14556553C2311yescharacteristic
347#14556553C2311yescharacteristic
348C4×C22⋊D73—21no—
349C4×C22⋊D73—21no—
350C4×C22⋊D73—21no—
351C4×C22⋊D73—21no—
352C4×C22⋊D73—21no—
353C4×C22⋊D73—21no—
354C4×C22⋊D73D411yescharacteristic
355C4×C22⋊D73D411yescharacteristic
356C4×C22⋊D73C2311yescharacteristic
357C4×C22⋊D73C2311yescharacteristic
358#14556551—21no—
359#14556551—21no—
360#14556551—21no—
361#14556551—21no—
362#14556551—21no—
363#14556550D411yescharacteristic
364#14556549—21no—
365#14556549C2311yescharacteristic
366#14556548—21no—
367#14556548D411yescharacteristic
368#14556548D411yescharacteristic
369C2×C4⋊Dic73C2311yescharacteristic
370C2×C4⋊Dic73C2311yescharacteristic
371C4⋊C4×D73—21no—
372C4⋊C4×D73C2311yescharacteristic
373C4⋊C4×D73C2311yescharacteristic
374C4⋊C4×D73C2311yescharacteristic
375C2×#11924005—21no—
376C2×#11924005—21no—
377C22⋊C4×D73—21no—
378C22⋊C4×D73—21no—
379C22⋊C4×D73—21no—
380C22⋊C4×D73—21no—
381C22⋊C4×D73—21no—
382C42×D73—21no—
383C42×D73C2311yescharacteristic
384C42×D73C2311yescharacteristic
385#14556524C2311yescharacteristic
386#14556524C2311yescharacteristic
387#14556523C2311yescharacteristic
388#14556523C2311yescharacteristic
389#14556523C2311yescharacteristic
390#14556523C2311yescharacteristic
391#14556522C2311yescharacteristic
392#14556522C2311yescharacteristic
393#14556522C2311yescharacteristic
394#14556522C2311yescharacteristic
395#14556522C2311yescharacteristic
396#14556522C2311yescharacteristic
397C4⋊#10596831C2311yescharacteristic
398C4⋊#10596831C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556515C2311yescharacteristic
404#14556515C2311yescharacteristic
405#14556513C2311yescharacteristic
406#14556513C2311yescharacteristic
407#14556513C2311yescharacteristic
408#14556513C2311yescharacteristic
409#14556513C2311yescharacteristic
410#14556513C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556512C2311yescharacteristic
414#14556512C2311yescharacteristic
415#14556512C2311yescharacteristic
416#14556512C2311yescharacteristic
417#14556512C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556511C2311yescharacteristic
420#14556511C2311yescharacteristic
421#14556511C2311yescharacteristic
422#14556511C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556511C2311yescharacteristic
426#14556511C2311yescharacteristic
427C22⋊#10596831C2311yescharacteristic
428C22⋊#10596831C2311yescharacteristic
429#14556503C2311yescharacteristic
430#14556503C2311yescharacteristic
431#14556503C2311yescharacteristic
432#14556503C2311yescharacteristic
433#14556502C2311yescharacteristic
434#14556502C2311yescharacteristic
435#14556501C2311yescharacteristic
436#14556501C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C8×Dic73C2311yescharacteristic
439C2×#41×C73—21no—
440C2×SD16×C73C2311yescharacteristic
441C2×SD16×C73C2311yescharacteristic
442C2×D8×C73C2311yescharacteristic
443C2×D8×C73C2311yescharacteristic
444C22×C8×C73C2311yescharacteristic
445C22×C8×C73C2311yescharacteristic
446C4⋊Q8×C73C2311yescharacteristic
447#127×C73C2311yescharacteristic
448#126×C73—21no—
449#125×C73C2311yescharacteristic
450#124×C73—21no—
451#124×C73C2311yescharacteristic
452#123×C73—21no—
453C22⋊Q8×C73C2311yescharacteristic
454#121×C73—21no—
455#121×C73C2311yescharacteristic
456#121×C73C2311yescharacteristic
457#121×C73C2311yescharacteristic
458C4×Q8×C73C2311yescharacteristic
459C4×D4×C73—21no—
460C4×D4×C73—21no—
461C4×D4×C73C2311yescharacteristic
462C4×D4×C73C2311yescharacteristic
463C4×D4×C73C2311yescharacteristic
464#117×C73—21no—
465C2×C42×C73C2311yescharacteristic
466#107×C73C2311yescharacteristic
467#107×C73C2311yescharacteristic
468#106×C73C2311yescharacteristic
469#106×C73C2311yescharacteristic
470#103×C73C2311yescharacteristic
471#103×C73C2311yescharacteristic
472#102×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478#97×C73C2311yescharacteristic
479#97×C73C2311yescharacteristic
480#97×C73C2311yescharacteristic
481#97×C73C2311yescharacteristic
482C23×D73—21no—
483C23×D73—21no—
484C23×D73—21no—
485C23×D73—21no—
486C23×D73—21no—
487#11924029—22no—
488#11924029—41no—
489#11924029—44no—
490#11924028—24no—
491#11924028—44no—
492#11924028—44no—
493#11924028—82no—
494#11924027—44no—
495#11924027—44no—
496#11924027—44no—
497C2×Dic146—21no—
498C2×Dic146—21no—
499C2×Dic146—21no—
500C2×Dic146C2×D411yescharacteristic
501Q8×D73—44no—
502C2×D292—22no—
503C2×D292—22no—
504C2×D292—21no—
505C2×D292—21no—
506C2×D292—21no—
507C2×D292—21no—
508C2×D292—21no—
509C2×D292—21no—
510C2×D292—21no—
511C2×D292—41no—
512C2×D292—41no—
513C2×D292C2×D411yescharacteristic
514C2×D292C2411yescharacteristic
515C2×D292C2411yescharacteristic
516C2×D292C2411yescharacteristic
517C2×D292C2411yescharacteristic
518C2×C22⋊D73—21no—
519C2×C22⋊D73—21no—
520C2×C22⋊D73—21no—
521C2×C22⋊D73—21no—
522C2×C22⋊D73—21no—
523C2×C22⋊D73—21no—
524C2×C22⋊D73—21no—
525C2×C22⋊D73—21no—
526C2×C22⋊D73—21no—
527C2×C22⋊D73—21no—
528C2×C22⋊D73—21no—
529C2×C22⋊D73—21no—
530C2×C22⋊D73C2×D411yescharacteristic
531C2×C22⋊D73C2×D411yescharacteristic
532D4×D73—22no—
533D4×D73—22no—
534D4×D73—22no—
535D4×D73—41no—
536D4×D73—41no—
537D4×D73—41no—
538D4×D73—44no—
539D4×D73—44no—
540D4×D73—44no—
541D4×D73—44no—
542C22×Dic73—21no—
543C22×Dic73—21no—
544C22×Dic73—21no—
545C22×Dic73—21no—
546C22×Dic73—21no—
547C2×C4×D73—21no—
548C2×C4×D73—21no—
549C2×C4×D73—21no—
550C2×C4×D73—21no—
551C2×C4×D73—21no—
552C2×C4×D73—21no—
553C2×C4×D73—21no—
554C2×C4×D73—21no—
555C2×C4×D73—21no—
556C2×C4×D73—21no—
557C2×C4×D73—21no—
558C2×C4×D73—21no—
559C2×C4×D73—21no—
560C2×C4×D73—21no—
561C2×C4×D73—21no—
562C2×C4×D73—21no—
563C2×C4×D73—44no—
564C2×C4×D73—44no—
565C2×C4×D73—44no—
566C2×C4×D73—82no—
567C2×C4×D73—82no—
568C2×C4×D73C2×D411yescharacteristic
569C2×C4×D73C2×D411yescharacteristic
570C2×C4×D73C2×D411yescharacteristic
571C2×C4×D73C2×D411yescharacteristic
572C2×C4×D73C2411yescharacteristic
573C2×C4×D73C2411yescharacteristic
574#11924015—22no—
575#11924015—41no—
576D584—22no—
577D584—22no—
578D584—22no—
579D584#4114yescomplemented
580#11924013—22no—
581#11924013—22no—
582#11924013—22no—
583#11924013—41no—
584#11924013—41no—
585#11924013—41no—
586#11924011—22no—
587#11924011—41no—
588C2×#10596831C2411yescharacteristic
589C2×#10596831C2411yescharacteristic
590C2×#10596831C2411yescharacteristic
591C2×#10596831C2411yescharacteristic
592C8×D73—22no—
593C8×D73—41no—
594C4⋊Dic73—21no—
595C4⋊Dic73—21no—
596C4⋊Dic73—21no—
597C4⋊Dic73—21no—
598C4⋊Dic73C2×D411yescharacteristic
599C4⋊Dic73C2×D411yescharacteristic
600C4⋊Dic73C2411yescharacteristic
601C4⋊Dic73C2411yescharacteristic
602C4⋊Dic73C2411yescharacteristic
603C4⋊Dic73C2411yescharacteristic
604#11924007—21no—
605#11924007—21no—
606#11924007—21no—
607#11924007—21no—
608#11924007—21no—
609#11924007—21no—
610#11924007—21no—
611#11924007—21no—
612#11924007C2×D411yescharacteristic
613#11924007C2×D411yescharacteristic
614#11924007C2×D411yescharacteristic
615#11924007C2×D411yescharacteristic
616C22⋊Dic73—21no—
617C22⋊Dic73—21no—
618C22⋊Dic73—21no—
619C22⋊Dic73—21no—
620C22⋊Dic73—21no—
621C22⋊Dic73—21no—
622C22⋊Dic73C2×D411yescharacteristic
623C22⋊Dic73C2×D411yescharacteristic
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#11924005—21no—
641#11924005—21no—
642#11924005—21no—
643#11924005—21no—
644#11924005C2×D411yescharacteristic
645#11924005C2×D411yescharacteristic
646#11924005C2×D411yescharacteristic
647#11924005C2×D411yescharacteristic
648C4×Dic73—21no—
649C4×Dic73—21no—
650C4×Dic73C2×D411yescharacteristic
651C4×Dic73C2×D411yescharacteristic
652C4×Dic73C2×D411yescharacteristic
653C4×Dic73C2×D411yescharacteristic
654C4×Dic73C2411yescharacteristic
655C4×Dic73C2411yescharacteristic
656#41×C73—44no—
657C2×Q8×C73—21no—
658C2×Q8×C73C2411yescharacteristic
659C2×D4×C73—21no—
660C2×D4×C73—21no—
661C2×D4×C73—21no—
662C2×D4×C73—21no—
663C2×D4×C73—21no—
664C2×D4×C73C2411yescharacteristic
665C2×D4×C73C2411yescharacteristic
666C2×D4×C73C2411yescharacteristic
667C22×C4×C73—21no—
668C22×C4×C73—21no—
669C22×C4×C73—21no—
670C22×C4×C73C2×D411yescharacteristic
671C22×C4×C73C2×D411yescharacteristic
672C22×C4×C73C2411yescharacteristic
673SD16×C73—22no—
674SD16×C73—41no—
675D8×C73—22no—
676D8×C73—41no—
677C2×C8×C73—22no—
678C2×C8×C73—41no—
679C2×C8×C73C2411yescharacteristic
680C2×C8×C73C2411yescharacteristic
681C2×C8×C73C2411yescharacteristic
682C2×C8×C73C2411yescharacteristic
683C4⋊C4×C73—21no—
684C4⋊C4×C73—21no—
685C4⋊C4×C73—21no—
686C4⋊C4×C73—21no—
687C4⋊C4×C73—21no—
688C4⋊C4×C73C2411yescharacteristic
689C4⋊C4×C73C2411yescharacteristic
690C4⋊C4×C73C2411yescharacteristic
691C4⋊C4×C73C2411yescharacteristic
692C22⋊C4×C73—21no—
693C22⋊C4×C73—21no—
694C22⋊C4×C73—21no—
695C22⋊C4×C73—21no—
696C22⋊C4×C73—21no—
697C22⋊C4×C73—21no—
698C22⋊C4×C73—21no—
699C22⋊C4×C73—21no—
700C22⋊C4×C73—21no—
701C42×C73—21no—
702C42×C73C2×D411yescharacteristic
703C42×C73C2×D411yescharacteristic
704C42×C73C2411yescharacteristic
705C42×C73C2411yescharacteristic
706C23×C73—21no—
707C23×C73—21no—
708C23×C73—21no—
709C23×C73C22×D411yescharacteristic
710C22×D73—21no—
711C22×D73—21no—
712C22×D73—21no—
713C22×D73—21no—
714C22×D73—42no—
715C22×D73—42no—
716C22×D73—42no—
717C22×D73—42no—
718C22×D73—42no—
719C22×D73—42no—
720C22×D73—42no—
721C22×D73—42no—
722C22×D73—42no—
723C22×D73—42no—
724C22×D73—81no—
725C22×D73—81no—
726C22×D73—81no—
727C22×D73—81no—
728C22×D73—81no—
729C22×D73C22×D411yescharacteristic
730C22×D73C22×D411yescharacteristic
731Q8×C73—21no—
732Q8×C73—21no—
733Q8×C73—42no—
734D4×C73—21no—
735D4×C73—21no—
736D4×C73—21no—
737D4×C73—21no—
738D4×C73—21no—
739D4×C73—21no—
740D4×C73—42no—
741D4×C73—42no—
742D4×C73—42no—
743D4×C73—42no—
744D4×C73—81no—
745C2×C4×C73—22no—
746C2×C4×C73—21no—
747C2×C4×C73—21no—
748C2×C4×C73—21no—
749C2×C4×C73—21no—
750C2×C4×C73—21no—
751C2×C4×C73—21no—
752C2×C4×C73—21no—
753C2×C4×C73—41no—
754C2×C4×C73—42no—
755C2×C4×C73—42no—
756C2×C4×C73—42no—
757C2×C4×C73C22×D411yescharacteristic
758C2×C4×C73C22×D411yescharacteristic
759C2×C4×C73C22×D411yescharacteristic
760C2×C4×C73C22×D411yescharacteristic
761C2×C4×C73C22×D411yescharacteristic
762C2×C4×C73C2511yescharacteristic
763C22⋊D73—22no—
764C22⋊D73—42no—
765C22⋊D73—42no—
766C22⋊D73—42no—
767C22⋊D73—42no—
768C22⋊D73—42no—
769C22⋊D73—42no—
770C22⋊D73—42no—
771C22⋊D73—42no—
772C22⋊D73—81no—
773C22⋊D73—81no—
774C22⋊D73—81no—
775C22⋊D73—81no—
776C22⋊D73AGL(1,ℤ/8)14yescomplemented
777C2×Dic73—21no—
778C2×Dic73—21no—
779C2×Dic73—21no—
780C2×Dic73—21no—
781C2×Dic73—42no—
782C2×Dic73—42no—
783C2×Dic73—42no—
784C2×Dic73—81no—
785C2×Dic73—81no—
786C2×Dic73C22×D411yescharacteristic
787C2×Dic73C22×D411yescharacteristic
788C2×Dic73C22×D411yescharacteristic
789C2×Dic73C22×D411yescharacteristic
790C2×Dic73C22×D411yescharacteristic
791C2×Dic73C22×D411yescharacteristic
792D292—22no—
793D292—21no—
794D292—21no—
795D292—21no—
796D292—21no—
797D292—21no—
798D292—21no—
799D292—42no—
800D292—42no—
801D292—42no—
802D292—42no—
803D292—42no—
804D292—42no—
805D292—81no—
806D292C2×#4112yes—
807D292C2×#4112yescomplemented
808C4×D73—22no—
809C4×D73—21no—
810C4×D73—21no—
811C4×D73—21no—
812C4×D73—21no—
813C4×D73—22no—
814C4×D73—41no—
815C4×D73—41no—
816C4×D73—42no—
817C4×D73—42no—
818C4×D73—42no—
819C4×D73—42no—
820C4×D73—42no—
821C4×D73—42no—
822C4×D73—42no—
823C4×D73—42no—
824C4×D73—42no—
825C4×D73—42no—
826C4×D73—42no—
827C4×D73—42no—
828C4×D73—81no—
829C4×D73—81no—
830C4×D73—81no—
831C4×D73—81no—
832Dic146—22no—
833Dic146—42no—
834Dic146—42no—
835Dic146—81no—
836C8×C73—21no—
837C8×C73—21no—
838C8×C73—21no—
839C8×C73C2×#4112yescomplemented
840#10596831—21no—
841#10596831—21no—
842#10596831—21no—
843#10596831—21no—
844C22×C73—21no—
845C22×C73—21no—
846C22×C73—41no—
847C22×C73—41no—
848C22×C73—41no—
849C22×C73—41no—
850C22×C73—41no—
851C22×C73—41no—
852C22×C73—41no—
853C22×C73—41no—
854C22×C73—41no—
855C22×C73C2×AGL(1,ℤ/8)12yes—
856C22×C73C23×D411yescharacteristic
857C2×D73—21no—
858C2×D73—21no—
859C2×D73—21no—
860C2×D73—21no—
861C2×D73—22no—
862C2×D73—22no—
863C2×D73—21no—
864C2×D73—41no—
865C2×D73—41no—
866C2×D73—41no—
867C2×D73—41no—
868C2×D73—41no—
869C2×D73—41no—
870C2×D73—41no—
871C2×D73—41no—
872C2×D73—41no—
873C2×D73—41no—
874C2×D73—84no—
875C2×D73—84no—
876C2×D73—84no—
877C2×D73—84no—
878C2×D73—84no—
879C2×D73C2×AGL(1,ℤ/8)12yes—
880C4×C73—21no—
881C4×C73—21no—
882C4×C73—21no—
883C4×C73—21no—
884C4×C73—21no—
885C4×C73—41no—
886C4×C73—41no—
887C4×C73—41no—
888C4×C73—41no—
889C4×C73—41no—
890C4×C73C22×#4111yescharacteristic
891C4×C73#58511yescharacteristic
892Dic73—21no—
893Dic73—21no—
894Dic73—21no—
895Dic73—21no—
896Dic73—21no—
897Dic73—41no—
898Dic73—41no—
899Dic73—41no—
900Dic73—41no—
901Dic73C2×AGL(1,ℤ/8)12yes—
902#61451—731nomaximal, Sylow
903C2×C73—22no—
904C2×C73—81no—
905C2×C73—81no—
906C2×C73—81no—
907C2×C73D4×#4111yescharacteristic
908C2×C73C22×AGL(1,ℤ/8)11yescharacteristic
909C2×C73#358511yescharacteristic
910D73—22no—
911D73—41no—
912D73—42no—
913D73—42no—
914D73—81no—
915D73—81no—
916#3481—731no—
917D4×#41—731no—
918#3399—731no—
919#3384—731no—
920#3373—731no—
921#3366—731no—
922#3345—731no—
923#3345—731no—
924#3335—731no—
925#3318—731no—
926#3318—731no—
927#3306—731no—
928#3306—731no—
929#3295—731no—
930#3294—731no—
931D4×D8—731no—
932#3264—731no—
933#3264—731no—
934#3184—731no—
935#3180—731no—
936#3180D7311yescharacteristic, complemented
937#3115—731no—
938#3114—731no—
939#3114—731no—
940#3109—731no—
941#3109—731no—
942#3109—731no—
943#2970—731no—
944C4×AGL(1,ℤ/8)—731no—
945C2×#442—731no—
946C2×#442—731no—
947C73#6145111yescharacteristic, complemented, Sylow
948C22×#41—1461no—
949C2×AGL(1,ℤ/8)—731no—
950C22×D8—731no—
951C22×D8—731no—
952#559—731no—
953#554—731no—
954#554—731no—
955#553—731no—
956#553—731no—
957#553—1461no—
958#551—1461no—
959#551—1461no—
960#550—731no—
961D4×Q8—731no—
962#548—1461no—
963#547—731no—
964#547—731no—
965#547—731no—
966#546—731no—
967#546—731no—
968#546—1461no—
969#546—1461no—
970#546—1461no—
971#546—1461no—
972D42—731no—
973D42—731no—
974D42—731no—
975D42—731no—
976#532—731no—
977#532—731no—
978#532—731no—
979#532C2×D7311yescharacteristic, complemented
980#529—731no—
981#529—1461no—
982#529C2×D7311yescharacteristic, complemented
983#525—1461no—
984#525—1461no—
985#525—1461no—
986#525—1461no—
987#525—1461no—
988C4×#41—731no—
989C4×#41—731no—
990C2×C4×D4—731no—
991C2×C4×D4—731no—
992C2×C4×D4—731no—
993C2×C4×D4—731no—
994C2×C4×D4—731no—
995C2×C4×D4—1461no—
996#501—731no—
997#501C2×D7311yescharacteristic, complemented
998#498—731no—
999#496—731no—
1000#496C2×D7311yescharacteristic, complemented
1001#493—731no—
1002#490—731no—
1003#490C2×D7311yescharacteristic, complemented
1004#489—731no—
1005#489C2×D7311yescharacteristic, complemented
1006#486—731no—
1007#486—731no—
1008#483—731no—
1009#483—731no—
1010#482—731no—
1011#482—731no—
1012#481—731no—
1013#481—731no—
1014#481—731no—
1015#481—731no—
1016#481—731no—
1017#481—731no—
1018#480—731no—
1019#480—731no—
1020#478—731no—
1021#478—731no—
1022#478—731no—
1023#478—731no—
1024#476—731no—
1025#476—731no—
1026#476—731no—
1027#476—731no—
1028#476—731no—
1029#476—731no—
1030#475—731no—
1031#474—731no—
1032#469—731no—
1033#469—731no—
1034#469—731no—
1035#469—731no—
1036#466—731no—
1037#466—731no—
1038#466C2×D7311yescharacteristic, complemented
1039#466C2×D7311yescharacteristic, complemented
1040#465—731no—
1041#465—731no—
1042#465C2×D7311yescharacteristic, complemented
1043#465C2×D7311yescharacteristic, complemented
1044#463—731no—
1045#463—731no—
1046#463—731no—
1047#463—731no—
1048#460—731no—
1049#459—731no—
1050#459—731no—
1051#459—731no—
1052#459—731no—
1053#459—731no—
1054#459—731no—
1055#459—731no—
1056#450—731no—
1057#450—731no—
1058#449—731no—
1059#449—731no—
1060#447—731no—
1061#447—731no—
1062#447—731no—
1063#447—731no—
1064#447—731no—
1065#447—731no—
1066#447—731no—
1067#447—731no—
1068#446—731no—
1069#446—731no—
1070#442—731no—
1071#442—731no—
1072#442—731no—
1073#442—731no—
1074#442—731no—
1075#442—731no—
1076#442—731no—
1077#442—731no—
1078#442—731no—
1079#442—731no—
1080#442—731no—
1081#442—731no—
1082#442—731no—
1083#442—731no—
1084#442—731no—
1085#442—731no—
1086#442—731no—
1087#442—731no—
1088#442C2×D7311yescharacteristic, complemented
1089#442C2×D7311yescharacteristic, complemented
1090#440—731no—
1091#440—731no—
1092#440C2×D7311yescharacteristic, complemented
1093#440C2×D7311yescharacteristic, complemented
1094C4×SD16—731no—
1095C4×SD16—731no—
1096C4×D8—731no—
1097C4×D8—731no—
1098#435—731no—
1099#435—731no—
1100#435—731no—
1101#435—731no—
1102C8×D4—731no—
1103C8×D4—731no—
1104#432—731no—
1105#432—731no—
1106#432—731no—
1107#428—731no—
1108C2×#106—731no—
1109C2×#106—731no—
1110#418—731no—
1111#417—731no—
1112C2×#102—731no—
1113C2×#102—731no—
1114C2×#102—731no—
1115C2×#102—731no—
1116C4×M16—731no—
1117C2×#97—731no—
1118C2×#97C2×D7311yescharacteristic, complemented
1119C2×#41—21no—
1120C2×#41—2928no—
1121C2×#41—731no—
1122C2×#41—731no—
1123C2×#41—1461no—
1124C2×#41—1461no—
1125C2×#41—1461no—
1126C2×#41—1461no—
1127C2×#41—1461no—
1128C2×#41—1461no—
1129C2×#41—1461no—
1130C22×Q8—1461no—
1131C22×D4—731no—
1132C22×D4—731no—
1133C22×D4—731no—
1134C22×D4—731no—
1135C22×D4—731no—
1136C22×D4—1461no—
1137C22×D4—1461no—
1138C22×D4—1461no—
1139C22×D4—1461no—
1140C23×C4—1461no—
1141C23×C4—1461no—
1142C23×C4—1461no—
1143C23×C4—1461no—
1144C23×C4—1461no—
1145AGL(1,ℤ/8)—1464no—
1146C2×SD16—731no—
1147C2×SD16—731no—
1148C2×SD16C22×D7311yescharacteristic
1149C2×SD16C22×D7311yescharacteristic
1150C2×D8—731no—
1151C2×D8—731no—
1152C2×D8—731no—
1153C2×D8—731no—
1154C2×D8—731no—
1155C2×D8—731no—
1156C2×D8—731no—
1157C2×D8—731no—
1158C2×D8—731no—
1159C2×D8—731no—
1160C2×D8—1464no—
1161C2×D8—1464no—
1162C2×D8C22×D7311yescharacteristic
1163C2×D8C22×D7311yescharacteristic
1164C2×M16—731no—
1165C2×M16—731no—
1166C22×C8—731no—
1167C22×C8—731no—
1168C22×C8C22×D7311yescharacteristic
1169C22×C8C22×D7311yescharacteristic
1170C4⋊Q8—731no—
1171C4⋊Q8—731no—
1172C4⋊Q8—731no—
1173C4⋊Q8C22×D7311yescharacteristic
1174#127—731no—
1175#127—731no—
1176#127—731no—
1177#127C22×D7311yescharacteristic
1178#126—21no—
1179#126—1461no—
1180#126—1461no—
1181#126—1461no—
1182#125—731no—
1183#125—1461no—
1184#125C22×D7311yescharacteristic
1185#124—21no—
1186#124—731no—
1187#124—1461no—
1188#124—1461no—
1189#124—1461no—
1190#124—1461no—
1191#124C22×D7311yescharacteristic
1192#123—21no—
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—
1206C22⋊Q8—731no—
1207C22⋊Q8—1461no—
1208C22⋊Q8—1461no—
1209C22⋊Q8—1461no—
1210C22⋊Q8—1461no—
1211C22⋊Q8—1461no—
1212C22⋊Q8—1461no—
1213C22⋊Q8—1461no—
1214C22⋊Q8—1461no—
1215C22⋊Q8—1461no—
1216C22⋊Q8—1461no—
1217C22⋊Q8—1461no—
1218C22⋊Q8C22×D7311yescharacteristic
1219#121—21no—
1220#121—731no—
1221#121—731no—
1222#121—731no—
1223#121—731no—
1224#121—731no—
1225#121—731no—
1226#121—731no—
1227#121—1461no—
1228#121—1461no—
1229#121—1461no—
1230#121—1461no—
1231#121—1461no—
1232#121—1461no—
1233#121—1461no—
1234#121—1461no—
1235#121—1461no—
1236#121—1461no—
1237#121—1461no—
1238#121—1461no—
1239#121—1461no—
1240#121—1461no—
1241#121C22×D7311yescharacteristic
1242#121C22×D7311yescharacteristic
1243#121C22×D7311yescharacteristic
1244#120—1461no—
1245#120—1461no—
1246#120—1461no—
1247#120—1461no—
1248#120—1461no—
1249#120—1461no—
1250#120—1461no—
1251#120—1461no—
1252#120—1461no—
1253#120—1461no—
1254C4×Q8—731no—
1255C4×Q8—731no—
1256C4×Q8—731no—
1257C4×Q8C22×D7311yescharacteristic
1258C4×D4—21no—
1259C4×D4—21no—
1260C4×D4—731no—
1261C4×D4—731no—
1262C4×D4—731no—
1263C4×D4—731no—
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—731no—
1274C4×D4—731no—
1275C4×D4—731no—
1276C4×D4—731no—
1277C4×D4—731no—
1278C4×D4—731no—
1279C4×D4—731no—
1280C4×D4—731no—
1281C4×D4—1461no—
1282C4×D4—1461no—
1283C4×D4—1461no—
1284C4×D4—1461no—
1285C4×D4—1461no—
1286C4×D4—1461no—
1287C4×D4—1461no—
1288C4×D4—1461no—
1289C4×D4—1461no—
1290C4×D4—1461no—
1291C4×D4—1461no—
1292C4×D4—1461no—
1293C4×D4—1461no—
1294C4×D4—1461no—
1295C4×D4—1461no—
1296C4×D4—1461no—
1297C4×D4—1461no—
1298C4×D4—1461no—
1299C4×D4—1461no—
1300C4×D4—1461no—
1301C4×D4C22×D7311yescharacteristic
1302C4×D4C22×D7311yescharacteristic
1303C4×D4C22×D7311yescharacteristic
1304#117—21no—
1305#117—731no—
1306#117—731no—
1307#117—731no—
1308#117—731no—
1309#117—1461no—
1310#117—1461no—
1311C2×C4⋊C4—731no—
1312C2×C4⋊C4—731no—
1313C2×C4⋊C4—731no—
1314C2×C4⋊C4—731no—
1315C2×C4⋊C4—731no—
1316C2×C4⋊C4—1461no—
1317C2×C22⋊C4—1461no—
1318C2×C22⋊C4—1461no—
1319C2×C22⋊C4—1461no—
1320C2×C22⋊C4—1461no—
1321C2×C22⋊C4—1461no—
1322C2×C22⋊C4—1461no—
1323C2×C22⋊C4—1461no—
1324C2×C42—731no—
1325C2×C42—731no—
1326C2×C42—1461no—
1327C2×C42C22×D7311yescharacteristic
1328#107—731no—
1329#107—731no—
1330#107C22×D7311yescharacteristic
1331#107C22×D7311yescharacteristic
1332#106—731no—
1333#106—731no—
1334#106—731no—
1335#106—731no—
1336#106—731no—
1337#106—731no—
1338#106—731no—
1339#106—731no—
1340#106—731no—
1341#106—731no—
1342#106C22×D7311yescharacteristic
1343#106C22×D7311yescharacteristic
1344C4⋊C8—731no—
1345C4⋊C8—731no—
1346C4⋊C8—731no—
1347C4⋊C8—731no—
1348C4⋊C8—731no—
1349C4⋊C8—731no—
1350#103—731no—
1351#103—731no—
1352#103C22×D7311yescharacteristic
1353#103C22×D7311yescharacteristic
1354#102—731no—
1355#102—731no—
1356#102—731no—
1357#102—731no—
1358#102—731no—
1359#102—731no—
1360#102—731no—
1361#102—731no—
1362#102—731no—
1363#102—731no—
1364#102—731no—
1365#102—731no—
1366#102—731no—
1367#102—731no—
1368#102—731no—
1369#102—731no—
1370#102—731no—
1371#102—731no—
1372#102—731no—
1373#102—731no—
1374#102—731no—
1375#102—731no—
1376#102C22×D7311yescharacteristic
1377#102C22×D7311yescharacteristic
1378#102C22×D7311yescharacteristic
1379#102C22×D7311yescharacteristic
1380#102C22×D7311yescharacteristic
1381#102C22×D7311yescharacteristic
1382C22⋊C8—731no—
1383C22⋊C8—731no—
1384C22⋊C8—731no—
1385C22⋊C8—731no—
1386C22⋊C8—731no—
1387C22⋊C8—731no—
1388#97—731no—
1389#97—731no—
1390#97—731no—
1391#97—731no—
1392#97C22×D7311yescharacteristic
1393#97C22×D7311yescharacteristic
1394#97C22×D7311yescharacteristic
1395#97C22×D7311yescharacteristic
1396C4×C8—731no—
1397C4×C8—731no—
1398C24—1461no—
1399C24—1461no—
1400C24—1461no—
1401C24—1461no—
1402C24—1461no—
1403#41—44no—
1404#41—2924no—
1405#41—2924no—
1406#41—2924no—
1407#41—2924no—
1408#41—2924no—
1409#41—2924no—
1410#41—2921no—
1411#41—5842no—
1412#41—1464no—
1413#41—1462no—
1414C2×Q8—21no—
1415C2×Q8—2924no—
1416C2×Q8—731no—
1417C2×Q8—1461no—
1418C2×Q8—1461no—
1419C2×Q8—1461no—
1420C2×Q8C23×D7311yescharacteristic
1421C2×D4—21no—
1422C2×D4—21no—
1423C2×D4—21no—
1424C2×D4—21no—
1425C2×D4—21no—
1426C2×D4—2921no—
1427C2×D4—2921no—
1428C2×D4—2924no—
1429C2×D4—2924no—
1430C2×D4—2924no—
1431C2×D4—2924no—
1432C2×D4—2921no—
1433C2×D4—2921no—
1434C2×D4—2921no—
1435C2×D4—731no—
1436C2×D4—731no—
1437C2×D4—731no—
1438C2×D4—731no—
1439C2×D4—731no—
1440C2×D4—731no—
1441C2×D4—731no—
1442C2×D4—1461no—
1443C2×D4—1461no—
1444C2×D4—1461no—
1445C2×D4—1461no—
1446C2×D4—1462no—
1447C2×D4—1462no—
1448C2×D4—1461no—
1449C2×D4—1461no—
1450C2×D4—1461no—
1451C2×D4—1461no—
1452C2×D4—1461no—
1453C2×D4—1461no—
1454C2×D4—1461no—
1455C2×D4—1461no—
1456C2×D4—1461no—
1457C2×D4—1461no—
1458C2×D4—1462no—
1459C2×D4—1462no—
1460C2×D4—1462no—
1461C2×D4—1461no—
1462C2×D4—1461no—
1463C2×D4—1461no—
1464C2×D4—1461no—
1465C2×D4—1461no—
1466C2×D4C23×D7311yescharacteristic
1467C2×D4C23×D7311yescharacteristic
1468C2×D4C23×D7311yescharacteristic
1469C22×C4—21no—
1470C22×C4—21no—
1471C22×C4—21no—
1472C22×C4—2924no—
1473C22×C4—2924no—
1474C22×C4—2924no—
1475C22×C4—5842no—
1476C22×C4—5842no—
1477C22×C4—731no—
1478C22×C4—731no—
1479C22×C4—731no—
1480C22×C4—731no—
1481C22×C4—731no—
1482C22×C4—731no—
1483C22×C4—1461no—
1484C22×C4—1461no—
1485C22×C4—1461no—
1486C22×C4—1461no—
1487C22×C4—1461no—
1488C22×C4—1461no—
1489C22×C4—1461no—
1490C22×C4—1461no—
1491C22×C4—1461no—
1492C22×C4—1461no—
1493C22×C4—1461no—
1494C22×C4—1461no—
1495C22×C4—1461no—
1496C22×C4—1461no—
1497C22×C4—1461no—
1498C22×C4—1461no—
1499C22×C4—1461no—
1500C22×C4—1461no—
1501C22×C4—1461no—
1502C22×C4—1461no—
1503C22×C4—1461no—
1504C22×C4D4×D7311yescharacteristic
1505C22×C4D4×D7311yescharacteristic
1506C22×C4C23×D7311yescharacteristic
1507SD16—22no—
1508SD16—41no—
1509SD16—2921no—
1510SD16—1462no—
1511D8—22no—
1512D8—41no—
1513D8—2921no—
1514D8—2921no—
1515D8—2921no—
1516D8—734no—
1517D8—1462no—
1518D8—1462no—
1519D8—1462no—
1520D8—1462no—
1521D8—1462no—
1522D8—1462no—
1523M16—2921no—
1524M16—1462no—
1525C2×C8—22no—
1526C2×C8—41no—
1527C2×C8—2921no—
1528C2×C8—731no—
1529C2×C8—731no—
1530C2×C8—731no—
1531C2×C8—731no—
1532C2×C8—1462no—
1533C2×C8C23×D7311yescharacteristic
1534C2×C8C23×D7311yescharacteristic
1535C2×C8C23×D7311yescharacteristic
1536C2×C8C23×D7311yescharacteristic
1537C4⋊C4—21no—
1538C4⋊C4—21no—
1539C4⋊C4—21no—
1540C4⋊C4—21no—
1541C4⋊C4—21no—
1542C4⋊C4—731no—
1543C4⋊C4—731no—
1544C4⋊C4—731no—
1545C4⋊C4—731no—
1546C4⋊C4—731no—
1547C4⋊C4—731no—
1548C4⋊C4—731no—
1549C4⋊C4—731no—
1550C4⋊C4—731no—
1551C4⋊C4—731no—
1552C4⋊C4—1461no—
1553C4⋊C4—1461no—
1554C4⋊C4—1461no—
1555C4⋊C4—1461no—
1556C4⋊C4—1461no—
1557C4⋊C4—1461no—
1558C4⋊C4—1461no—
1559C4⋊C4—1461no—
1560C4⋊C4—1461no—
1561C4⋊C4—1461no—
1562C4⋊C4—1461no—
1563C4⋊C4—1461no—
1564C4⋊C4C23×D7311yescharacteristic
1565C4⋊C4C23×D7311yescharacteristic
1566C4⋊C4C23×D7311yescharacteristic
1567C4⋊C4C23×D7311yescharacteristic
1568C22⋊C4—21no—
1569C22⋊C4—21no—
1570C22⋊C4—21no—
1571C22⋊C4—21no—
1572C22⋊C4—21no—
1573C22⋊C4—21no—
1574C22⋊C4—21no—
1575C22⋊C4—21no—
1576C22⋊C4—21no—
1577C22⋊C4—731no—
1578C22⋊C4—731no—
1579C22⋊C4—731no—
1580C22⋊C4—731no—
1581C22⋊C4—731no—
1582C22⋊C4—731no—
1583C22⋊C4—1461no—
1584C22⋊C4—1461no—
1585C22⋊C4—1461no—
1586C22⋊C4—1461no—
1587C22⋊C4—1461no—
1588C22⋊C4—1461no—
1589C22⋊C4—1461no—
1590C22⋊C4—1461no—
1591C22⋊C4—1461no—
1592C22⋊C4—1461no—
1593C22⋊C4—1461no—
1594C22⋊C4—1461no—
1595C22⋊C4—1461no—
1596C22⋊C4—1461no—
1597C22⋊C4—1461no—
1598C22⋊C4—1461no—
1599C22⋊C4—1461no—
1600C22⋊C4—1461no—
1601C22⋊C4—1461no—
1602C22⋊C4—1461no—
1603C22⋊C4—1461no—
1604C22⋊C4—1461no—
1605C22⋊C4—1461no—
1606C22⋊C4—1461no—
1607C22⋊C4—1461no—
1608C22⋊C4—1461no—
1609C42—21no—
1610C42—731no—
1611C42—731no—
1612C42—731no—
1613C42—731no—
1614C42—731no—
1615C42—731no—
1616C42—1461no—
1617C42—1461no—
1618C42D4×D7311yescharacteristic
1619C42D4×D7311yescharacteristic
1620C42C23×D7311yescharacteristic
1621C42C23×D7311yescharacteristic
1622C23—21no—
1623C23—21no—
1624C23—21no—
1625C23—2922no—
1626C23—2922no—
1627C23—2922no—
1628C23—2922no—
1629C23—2922no—
1630C23—2922no—
1631C23—2922no—
1632C23—2922no—
1633C23—2922no—
1634C23—2922no—
1635C23—5841no—
1636C23—5841no—
1637C23—5841no—
1638C23—5841no—
1639C23—5841no—
1640C23—731no—
1641C23—731no—
1642C23—1461no—
1643C23—1461no—
1644C23—1461no—
1645C23—1461no—
1646C23C2×D4×D7311yescharacteristic
1647Q8—21no—
1648Q8—21no—
1649Q8—42no—
1650Q8—2922no—
1651Q8—2922no—
1652Q8—5841no—
1653Q8—1462no—
1654D4—21no—
1655D4—21no—
1656D4—21no—
1657D4—21no—
1658D4—21no—
1659D4—21no—
1660D4—42no—
1661D4—42no—
1662D4—42no—
1663D4—42no—
1664D4—81no—
1665D4—2922no—
1666D4—2922no—
1667D4—2922no—
1668D4—2922no—
1669D4—2922no—
1670D4—2922no—
1671D4—2922no—
1672D4—2922no—
1673D4—2922no—
1674D4—2922no—
1675D4—2922no—
1676D4—2922no—
1677D4—2922no—
1678D4—2922no—
1679D4—5841no—
1680D4—5841no—
1681D4—5841no—
1682D4—5841no—
1683D4—5841no—
1684D4—734no—
1685D4—732no—
1686D4—732no—
1687D4—1462no—
1688D4—1462no—
1689D4—1461no—
1690D4—1461no—
1691D4—1461no—
1692D4—1461no—
1693D4—1461no—
1694D4—1461no—
1695C2×C4—22no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—41no—
1704C2×C4—42no—
1705C2×C4—42no—
1706C2×C4—42no—
1707C2×C4—2922no—
1708C2×C4—2922no—
1709C2×C4—2922no—
1710C2×C4—2922no—
1711C2×C4—2922no—
1712C2×C4—2922no—
1713C2×C4—2921no—
1714C2×C4—2921no—
1715C2×C4—2922no—
1716C2×C4—2922no—
1717C2×C4—2922no—
1718C2×C4—2922no—
1719C2×C4—2922no—
1720C2×C4—2922no—
1721C2×C4—2922no—
1722C2×C4—2922no—
1723C2×C4—2922no—
1724C2×C4—5841no—
1725C2×C4—5841no—
1726C2×C4—5841no—
1727C2×C4—5841no—
1728C2×C4—5841no—
1729C2×C4—5841no—
1730C2×C4—731no—
1731C2×C4—731no—
1732C2×C4—731no—
1733C2×C4—731no—
1734C2×C4—731no—
1735C2×C4—731no—
1736C2×C4—1462no—
1737C2×C4—1462no—
1738C2×C4—1461no—
1739C2×C4—1461no—
1740C2×C4—1461no—
1741C2×C4—1461no—
1742C2×C4—1461no—
1743C2×C4—1461no—
1744C2×C4—1461no—
1745C2×C4—1461no—
1746C2×C4C2×D4×D7311yescharacteristic
1747C2×C4C2×D4×D7311yescharacteristic
1748C2×C4C2×D4×D7311yescharacteristic
1749C2×C4C2×D4×D7311yescharacteristic
1750C2×C4C2×D4×D7311yescharacteristic
1751C2×C4C24×D7311yescharacteristic
1752C8—21no—
1753C8—21no—
1754C8—21no—
1755C8—1461no—
1756C8—1461no—
1757C8—1461no—
1758C8—1461no—
1759C8#41×D7312yescomplemented
1760C22—21no—
1761C22—21no—
1762C22—41no—
1763C22—41no—
1764C22—41no—
1765C22—41no—
1766C22—41no—
1767C22—41no—
1768C22—41no—
1769C22—41no—
1770C22—41no—
1771C22—2921no—
1772C22—2921no—
1773C22—2921no—
1774C22—2921no—
1775C22—2921no—
1776C22—2921no—
1777C22—2921no—
1778C22—2921no—
1779C22—2921no—
1780C22—2921no—
1781C22—5844no—
1782C22—5844no—
1783C22—5844no—
1784C22—5844no—
1785C22—5844no—
1786C22—732no—
1787C22—1461no—
1788C22—1462no—
1789C22—1461no—
1790C22—1462no—
1791C22—1461no—
1792C22—1461no—
1793C22—1461no—
1794C22AGL(1,ℤ/8)×D7312yes—
1795C22C22×D4×D7311yescharacteristic
1796C4—21no—
1797C4—21no—
1798C4—21no—
1799C4—21no—
1800C4—21no—
1801C4—41no—
1802C4—41no—
1803C4—41no—
1804C4—41no—
1805C4—41no—
1806C4—2921no—
1807C4—2921no—
1808C4—2921no—
1809C4—2921no—
1810C4—732no—
1811C4—1461no—
1812C4—1461no—
1813C4—1461no—
1814C4—1461no—
1815C4—1461no—
1816C4C2×#41×D7311yescharacteristic
1817C4#1798942311yescharacteristic
1818C2—22no—
1819C2—81no—
1820C2—81no—
1821C2—81no—
1822C2—2922no—
1823C2—2922no—
1824C2—2921no—
1825C2—5841no—
1826C2—5841no—
1827C2—1462no—
1828C2#2262341711yescharacteristic
1829C2C2×AGL(1,ℤ/8)×D7311yescharacteristic
1830C2#2262470811yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3180C2
socleC22×C73C23×D4
hypercenter#3180D73
hypocenterC73#61451
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3180

Complements

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

NH ≅ G/Ntype
1. #22623537C2semidirect
2. #22623417C2semidirect
3. #22622970C2semidirect
4. #22622827C2semidirect
5. #22622720C2semidirect
6. #22622635C2semidirect
7. #22622407C2semidirect
8. #22622400C2semidirect
9. #22622283C2semidirect
10. #22622078C2semidirect
11. #22622071C2semidirect
12. #22621898C2semidirect
13. #22621891C2semidirect
14. #22621750C2semidirect
15. #22621739C2semidirect
16. #22621605C2semidirect
17. #22621410C2semidirect
18. #22621408C2semidirect
19. #22620666C2semidirect
20. #22620625C2semidirect
21. #22620080C2semidirect
22. #22620073C2semidirect
23. #22620065C2semidirect
24. #22620020C2semidirect
25. #22620020C2semidirect
26. #22620018C2semidirect
27. #22618942C2semidirect
28. #22618736C2semidirect
29. C2×#17988700C2semidirect
30. #442×D73C2semidirect
31. C73×#3180C2semidirect
36. #17989319C22semidirect
37. #17989295C22semidirect
38. #17989293C22semidirect
39. #17989290C22semidirect
40. #17989289C22semidirect
44. #17989257C22semidirect
45. #17989252C22semidirect
47. #17989240C22semidirect
49. #17989237C22semidirect
51. #17989230C22semidirect
53. #17989228C22semidirect
56. #17989222C22semidirect
58. #17989221C22semidirect
59. #17989221C22semidirect
60. #17989134C22semidirect
61. #17989134C22semidirect
62. #17989134C22semidirect
63. #17989124C22semidirect
70. C4×#11924029C22semidirect
72. C2×C4×D292C22semidirect
73. C2×C4×D292C22semidirect
75. C4×D4×D73C22semidirect
76. C4×D4×D73C22semidirect
77. C4×D4×D73C22semidirect
78. #17988995C22semidirect
79. #17988984C22semidirect
80. #17988973C22semidirect
81. #17988962C22semidirect
82. #17988950C22semidirect
83. #17988948C22semidirect
84. #17988932C22semidirect
85. #17988932C22semidirect
86. #17988916C22semidirect
87. #17988915C22semidirect
88. #17988914C22semidirect
89. #17988910C22semidirect
90. #17988907C22semidirect
91. #17988907C22semidirect
92. #17988904C22semidirect
93. #17988904C22semidirect
94. #17988903C22semidirect
95. #17988903C22semidirect
96. #17988902C22semidirect
97. #17988898C22semidirect
98. #17988890C22semidirect
99. #17988889C22semidirect
100. #17988884C22semidirect
101. #17988884C22semidirect
102. #17988876C22semidirect
103. #17988876C22semidirect
104. #17988875C22semidirect
105. #17988875C22semidirect
106. #17988874C22semidirect
107. #17988874C22semidirect
108. #17988870C22semidirect
109. #17988866C22semidirect
110. #17988841C22semidirect
111. #17988839C22semidirect
112. #17988839C22semidirect
113. #17988837C22semidirect
114. #17988824C22semidirect
115. #17988822C22semidirect
116. #17988819C22semidirect
117. #17988813C22semidirect
118. #17988805C22semidirect
119. #17988804C22semidirect
120. #17988799C22semidirect
121. #17988799C22semidirect
122. #17988785C22semidirect
124. #17988781C22semidirect
125. #17988781C22semidirect
126. #17988780C22semidirect
127. #17988780C22semidirect
128. #17988779C22semidirect
129. #17988779C22semidirect
130. #17988737C22semidirect
131. #17988736C22semidirect
132. #17988735C22semidirect
133. #17988731C22semidirect
135. #17988722C22semidirect
136. #17988722C22semidirect
138. #17988720C22semidirect
139. #17988720C22semidirect
140. #17988719C22semidirect
141. #17988719C22semidirect
142. #17988715C22semidirect
143. #17988715C22semidirect
146. #17988700C22semidirect
147. #17988700C22semidirect
148. #17988700C22semidirect
149. #17988700C22semidirect
150. #17988700C22semidirect
151. #17988700C22semidirect
152. #17988699C22semidirect
154. #17988697C22semidirect
155. #17988697C22semidirect
156. #17988697C22semidirect
157. #17988697C22semidirect
158. #17988697C22semidirect
159. #17988697C22semidirect
160. #17988696C22semidirect
161. #17988696C22semidirect
162. #17988685C22semidirect
163. #17988685C22semidirect
164. SD16×Dic73C22semidirect
165. #17988672C22semidirect
167. #17988667C22semidirect
168. #17988660C22semidirect
169. #17988660C22semidirect
170. #17988658C22semidirect
171. #17988658C22semidirect
172. C8×C22⋊D73C22semidirect
173. C8×C22⋊D73C22semidirect
174. #17988644C22semidirect
175. #17988642C22semidirect
176. #17988642C22semidirect
177. #17988628C22semidirect
178. C2×#14556523C22semidirect
179. #106×D73C22semidirect
180. #17988590C22semidirect
181. #17988587C22semidirect
182. C2×#14556513C22semidirect
183. C2×#14556513C22semidirect
184. #102×D73C22semidirect
185. #102×D73C22semidirect
186. #17988539C22semidirect
187. #97×D73C22semidirect
188. #532×C73C22semidirect
189. #529×C73C22semidirect
190. #501×C73C22semidirect
191. #496×C73C22semidirect
192. #490×C73C22semidirect
193. #489×C73C22semidirect
194. #466×C73C22semidirect
195. #466×C73C22semidirect
196. #465×C73C22semidirect
197. #465×C73C22semidirect
198. #442×C73C22semidirect
199. #442×C73C22semidirect
200. #440×C73C22semidirect
201. #440×C73C22semidirect
202. C2×#97×C73C22semidirect
579. D584#41semidirect
776. C22⋊D73AGL(1,ℤ/8)semidirect
807. D292C2×#41semidirect
839. C8×C73C2×#41semidirect
936. #3180D73semidirect
947. C73#61451semidirect
979. #532C2×D73semidirect
982. #529C2×D73semidirect
997. #501C2×D73semidirect
1000. #496C2×D73semidirect
1003. #490C2×D73semidirect
1005. #489C2×D73semidirect
1038. #466C2×D73semidirect
1039. #466C2×D73semidirect
1042. #465C2×D73semidirect
1043. #465C2×D73semidirect
1088. #442C2×D73semidirect
1089. #442C2×D73semidirect
1092. #440C2×D73semidirect
1093. #440C2×D73semidirect
1118. C2×#97C2×D73semidirect
1759. C8#41×D73semidirect

Maximal subgroups

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

subgroupindex
#226235372
#226234172
#226229702
#226228272
#226227202
#226226352
#226224072
#226224002
#226222832
#226220782
#226220712
#226218982
#226218912
#226217502
#226217392
#226216052
#226214102
#226214082
#226206662
#226206252
#226200802
#226200732
#226200652
#226200202
#226200182
#226189422
#226187362
C2×#179887002
#442×D732
C73×#31802
#6145173