Finite Group Databasebeta

← #33967926

Subgroups — #33967926

Order 18688.

2104 conjugacy classes of subgroups.

The subgroup lattice has 1782 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623548C211yesmaximal, characteristic, complemented
2#22623417C211yesmaximal, characteristic, complemented
3#22622946C211yesmaximal, characteristic, complemented
4#22622855C211yesmaximal, characteristic, complemented
5#22622655C211yesmaximal, characteristic, complemented
6#22622652C211yesmaximal, characteristic, complemented
7#22622375C211yesmaximal, characteristic, complemented
8#22622368C211yesmaximal, characteristic, complemented
9#22622273C211yesmaximal, characteristic, complemented
10#22621959C211yesmaximal, characteristic, complemented
11#22621950C211yesmaximal, characteristic, complemented
12#22621926C211yesmaximal, characteristic, complemented
13#22621919C211yesmaximal, characteristic, complemented
14#22621789C211yesmaximal, characteristic, complemented
15#22621742C211yesmaximal, characteristic, complemented
16#22621620C211yesmaximal, characteristic, complemented
17#22621421C211yesmaximal, characteristic, complemented
18#22621419C211yesmaximal, characteristic, complemented
19#22620646C211yesmaximal, characteristic, complemented
20#22620625C211yesmaximal, characteristic, complemented
21#22620623C211yesmaximal, characteristic, complemented
22#22620080C211yesmaximal, characteristic, complemented
23#22620073C211yesmaximal, characteristic, complemented
24#22620071C211yesmaximal, characteristic, complemented
25#22620051C211yesmaximal, characteristic, complemented
26#22620028C211yesmaximal, characteristic, complemented
27#22618940C211yesmaximal, characteristic, complemented
28#22618736C211yesmaximal, characteristic, complemented
29C2×#17988685C211yesmaximal, characteristic, complemented
30#440×D73C211yesmaximal, characteristic, complemented
31C73×#3112C211yesmaximal, characteristic, complemented
32C2×#41×D73—21no—
33C2×#14556618C2211yescharacteristic
34C22×#11924015C2211yescharacteristic
35C2×SD16×D73C2211yescharacteristic
36#17989313C2211yescharacteristic, complemented
37#17989309—21no—
38#17989309C2211yescharacteristic, complemented
39#17989278—21no—
40#17989278C2211yescharacteristic, complemented
41#17989272—21no—
42#17989272C2211yescharacteristic, complemented
43#17989257C2211yescharacteristic
44#17989252C2211yescharacteristic
45Q8×C22⋊D73C2211yescharacteristic, complemented
46#17989249C2211yescharacteristic, complemented
47#17989248C2211yescharacteristic, complemented
48#17989245—21no—
49#17989240C2211yescharacteristic
50#17989238—21no—
51#17989238C2211yescharacteristic, complemented
52#17989237C2211yescharacteristic
53#17989237C2211yescharacteristic
54#17989230—21no—
55#17989226—21no—
56#17989226—21no—
57#17989222C2211yescharacteristic
58#17989221C2211yescharacteristic
59#17989221C2211yescharacteristic
60#17989141—21no—
61#17989141C2211yescharacteristic, complemented
62#17989134C2211yescharacteristic
63#17989134C2211yescharacteristic
64#17989124—21no—
65#17989124C2211yescharacteristic, complemented
66#17989121—21no—
67#17989121C2211yescharacteristic, complemented
68#17989096—21no—
69#17989096—21no—
70#17989094—21no—
71C4×#11924029C2211yescharacteristic, complemented
72C4×#11924028—21no—
73C4×#11924028C2211yescharacteristic
74C4×Q8×D73C2211yescharacteristic, complemented
75C2×C4×D292C2211yescharacteristic
76C4×D4×D73C2211yescharacteristic
77C4×D4×D73C2211yescharacteristic
78#17988995C2211yescharacteristic, complemented
79#17988993C2211yescharacteristic, complemented
80#17988991C2211yescharacteristic, complemented
81#17988974C2211yescharacteristic, complemented
82#17988973C2211yescharacteristic, complemented
83#17988958C2211yescharacteristic, complemented
84#17988951C2211yescharacteristic, complemented
85#17988950C2211yescharacteristic, complemented
86#17988949C2211yescharacteristic, complemented
87#17988948C2211yescharacteristic, complemented
88#17988936C2211yescharacteristic, complemented
89#17988932C2211yescharacteristic, complemented
90#17988924C2211yescharacteristic, complemented
91#17988921C2211yescharacteristic, complemented
92#17988918C2211yescharacteristic, complemented
93#17988916C2211yescharacteristic, complemented
94#17988914C2211yescharacteristic, complemented
95#17988910C2211yescharacteristic, complemented
96#17988902C2211yescharacteristic, complemented
97#17988902C2211yescharacteristic, complemented
98#17988901C2211yescharacteristic, complemented
99#17988899C2211yescharacteristic, complemented
100#17988890C2211yescharacteristic
101#17988889C2211yescharacteristic, complemented
102#17988888C2211yescharacteristic
103#17988888C2211yescharacteristic, complemented
104#17988881C2211yescharacteristic, complemented
105#17988880C2211yescharacteristic, complemented
106#17988870C2211yescharacteristic, complemented
107#17988866C2211yescharacteristic
108#17988866C2211yescharacteristic, complemented
109#17988865C2211yescharacteristic, complemented
110#17988836C2211yescharacteristic, complemented
111#17988834C2211yescharacteristic, complemented
112#17988832C2211yescharacteristic, complemented
113#17988830C2211yescharacteristic, complemented
114#17988824C2211yescharacteristic, complemented
115#17988822C2211yescharacteristic, complemented
116#17988821C2211yescharacteristic, complemented
117#17988821C2211yescharacteristic, complemented
118#17988819C2211yescharacteristic, complemented
119#17988814C2211yescharacteristic, complemented
120#17988814C2211yescharacteristic, complemented
121#17988813C2211yescharacteristic, complemented
122#17988805C2211yescharacteristic
123#17988804C2211yescharacteristic, complemented
124#17988803C2211yescharacteristic
125#17988803C2211yescharacteristic, complemented
126#17988791C2211yescharacteristic
127#17988790C2211yescharacteristic, complemented
128#17988786C2211yescharacteristic, complemented
129#17988785C2211yescharacteristic, complemented
130#17988785C2211yescharacteristic, complemented
131#17988781C2211yescharacteristic, complemented
132#17988740C2211yescharacteristic
133#17988739C2211yescharacteristic
134#17988736C2211yescharacteristic
135#17988736C2211yescharacteristic
136#17988735C2211yescharacteristic, complemented
137#17988731C2211yescharacteristic, complemented
138#17988727C2211yescharacteristic, complemented
139#17988724C2211yescharacteristic, complemented
140#17988723C2211yescharacteristic
141#17988722C2211yescharacteristic
142#17988716C2211yescharacteristic, complemented
143#17988716C2211yescharacteristic, complemented
144#17988700C2211yescharacteristic
145#17988700C2211yescharacteristic, complemented
146#17988697C2211yescharacteristic, complemented
147#17988697C2211yescharacteristic, complemented
148#17988690C2211yescharacteristic
149#17988689C2211yescharacteristic
150#17988689C2211yescharacteristic, complemented
151#17988688C2211yescharacteristic, complemented
152#17988687C2211yescharacteristic, complemented
153#17988687C2211yescharacteristic, complemented
154#17988686C2211yescharacteristic
155#17988685C2211yescharacteristic
156#17988685C2211yescharacteristic
157#17988685C2211yescharacteristic
158#17988685C2211yescharacteristic
159#17988685C2211yescharacteristic, complemented
160#17988685C2211yescharacteristic, complemented
161#17988685C2211yescharacteristic, complemented
162#17988685C2211yescharacteristic, complemented
163#17988684C2211yescharacteristic, complemented
164SD16×Dic73C2211yescharacteristic, complemented
165#17988672C2211yescharacteristic
166#17988669C2211yescharacteristic
167#17988667C2211yescharacteristic, complemented
168#17988657C2211yescharacteristic, complemented
169#17988657C2211yescharacteristic, complemented
170#17988655C2211yescharacteristic, complemented
171#17988655C2211yescharacteristic, complemented
172#17988650C2211yescharacteristic, complemented
173#17988650C2211yescharacteristic, complemented
174#17988642C2211yescharacteristic, complemented
175#17988642C2211yescharacteristic, complemented
176#17988628C2211yescharacteristic, complemented
177C2×#14556524C2211yescharacteristic, complemented
178#107×D73C2211yescharacteristic, complemented
179#17988590C2211yescharacteristic
180#17988587C2211yescharacteristic, complemented
181C2×#14556515C2211yescharacteristic, complemented
182#103×D73C2211yescharacteristic, complemented
183C2×#14556511C2211yescharacteristic
184#102×D73C2211yescharacteristic
185#17988539C2211yescharacteristic, complemented
186C2×#14556502C2211yescharacteristic, complemented
187#97×D73C2211yescharacteristic, complemented
188#532×C73C2211yescharacteristic
189C2×C4×Q8×C73C2211yescharacteristic, complemented
190#480×C73C2211yescharacteristic, complemented
191#480×C73C2211yescharacteristic, complemented
192#477×C73C2211yescharacteristic, complemented
193#477×C73C2211yescharacteristic, complemented
194#460×C73C2211yescharacteristic, complemented
195#460×C73C2211yescharacteristic, complemented
196#448×C73C2211yescharacteristic, complemented
197#448×C73C2211yescharacteristic, complemented
198#440×C73C2211yescharacteristic, complemented
199#440×C73C2211yescharacteristic, complemented
200#440×C73C2211yescharacteristic, complemented
201#440×C73C2211yescharacteristic, complemented
202#432×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—
214C2×Q8×D73C2311yescharacteristic
215C22×D292C2311yescharacteristic
216C2×D4×D73—21no—
217C2×D4×D73—21no—
218C2×D4×D73—21no—
219C2×D4×D73C2311yescharacteristic
220C2×D4×D73C2311yescharacteristic
221C22×C4×D73—21no—
222C22×C4×D73—21no—
223C22×C4×D73—21no—
224#14556618—24no—
225C2×#11924017C2311yescharacteristic
226C2×#11924017C2311yescharacteristic
227C2×#11924016C2311yescharacteristic
228C2×#11924016C2311yescharacteristic
229C2×#11924015—24no—
230C2×#11924015C2311yescharacteristic
231C2×#11924015C2311yescharacteristic
232C2×#11924015C2311yescharacteristic
233C2×#11924015C2311yescharacteristic
234SD16×D73—24no—
235C2×D584C2311yescharacteristic
236C2×D584C2311yescharacteristic
237C2×#11924013C2311yescharacteristic
238C2×#11924013C2311yescharacteristic
239C2×#11924011C2311yescharacteristic
240C2×#11924011C2311yescharacteristic
241C22×#10596831C2311yescharacteristic
242C22×#10596831C2311yescharacteristic
243C2×C8×D73C2311yescharacteristic
244C2×C8×D73C2311yescharacteristic
245#14556590—21no—
246#14556590C2311yescharacteristic
247#14556590C2311yescharacteristic
248#14556590C2311yescharacteristic
249#14556589—21no—
250#14556589C2311yescharacteristic
251#14556587C2311yescharacteristic
252#14556587C2311yescharacteristic
253#14556586—21no—
254#14556586—21no—
255#14556586—21no—
256#14556585—21no—
257#14556585—21no—
258#14556585—21no—
259#14556583—21no—
260#14556583C2311yescharacteristic
261#14556582—21no—
262#14556582C2311yescharacteristic
263#14556581—21no—
264#14556581—21no—
265#14556581—21no—
266#14556580—21no—
267#14556580C2311yescharacteristic
268#14556579—21no—
269#14556579C2311yescharacteristic
270#14556577—21no—
271#14556577—21no—
272#14556576—21no—
273#14556576—21no—
274#14556576—21no—
275#14556576—21no—
276#14556576—21no—
277#14556574—21no—
278#14556574—21no—
279#14556574—21no—
280#14556573—21no—
281#14556573—21no—
282#14556572—21no—
283#14556572—21no—
284#14556571—21no—
285#14556571C2311yescharacteristic
286#14556570—21no—
287#14556570C2311yescharacteristic
288#14556569—21no—
289#14556569—21no—
290#14556569—21no—
291#14556569—21no—
292#14556569—21no—
293#14556568—21no—
294#14556568—21no—
295#14556567—21no—
296#14556567—21no—
297#14556567—21no—
298#14556567—21no—
299#14556567C2311yescharacteristic
300#14556567C2311yescharacteristic
301#14556566—21no—
302#14556566C2311yescharacteristic
303#14556566C2311yescharacteristic
304#14556566C2311yescharacteristic
305#14556565—21no—
306#14556565C2311yescharacteristic
307#14556564—21no—
308#14556564—21no—
309#14556564—21no—
310#14556564—21no—
311#14556563—21no—
312#14556563—21no—
313#14556562—21no—
314#14556562—21no—
315#14556562C2311yescharacteristic
316#14556562C2311yescharacteristic
317#14556561—21no—
318#14556561—21no—
319#14556559—21no—
320#14556559—21no—
321#14556559—21no—
322#14556559—21no—
323Q8×Dic73C2311yescharacteristic
324Q8×Dic73C2311yescharacteristic
325C4×Dic146—21no—
326C4×Dic146—21no—
327C4×Dic146—21no—
328C4×Dic146D411yescharacteristic
329C4×Dic146C2311yescharacteristic
330C4×Dic146C2311yescharacteristic
331#14556556—21no—
332#14556556C2311yescharacteristic
333C4×D292—21no—
334C4×D292—21no—
335C4×D292—21no—
336C4×D292—21no—
337C4×D292—21no—
338C4×D292D411yescharacteristic
339C4×D292C2311yescharacteristic
340C4×D292C2311yescharacteristic
341C4×D292C2311yescharacteristic
342C4×D292C2311yescharacteristic
343C4×D292C2311yescharacteristic
344C4×D292C2311yescharacteristic
345D4×Dic73C2311yescharacteristic
346D4×Dic73C2311yescharacteristic
347#14556553—21no—
348#14556553C2311yescharacteristic
349#14556553C2311yescharacteristic
350#14556553C2311yescharacteristic
351C4×C22⋊D73—21no—
352C4×C22⋊D73—21no—
353C4×C22⋊D73—21no—
354C4×C22⋊D73—21no—
355C4×C22⋊D73—21no—
356C4×C22⋊D73—21no—
357C4×C22⋊D73—21no—
358C4×C22⋊D73D411yescharacteristic
359C4×C22⋊D73D411yescharacteristic
360C4×C22⋊D73C2311yescharacteristic
361C4×C22⋊D73C2311yescharacteristic
362#14556551—21no—
363#14556551—21no—
364#14556550—21no—
365#14556550D411yescharacteristic
366#14556549—21no—
367#14556549C2311yescharacteristic
368#14556548—21no—
369#14556548—21no—
370#14556548—21no—
371#14556548—21no—
372#14556548—21no—
373#14556548D411yescharacteristic
374#14556548D411yescharacteristic
375C2×C4⋊Dic73C2311yescharacteristic
376C4⋊C4×D73—21no—
377C4⋊C4×D73C2311yescharacteristic
378C4⋊C4×D73C2311yescharacteristic
379C4⋊C4×D73C2311yescharacteristic
380C2×#11924005—21no—
381C22⋊C4×D73—21no—
382C22⋊C4×D73—21no—
383C42×D73—21no—
384C42×D73—21no—
385C42×D73C2311yescharacteristic
386C42×D73C2311yescharacteristic
387#14556525C2311yescharacteristic
388#14556525C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556524C2311yescharacteristic
391#14556524C2311yescharacteristic
392#14556524C2311yescharacteristic
393#14556524C2311yescharacteristic
394#14556524C2311yescharacteristic
395#14556523C2311yescharacteristic
396#14556523C2311yescharacteristic
397#14556522C2311yescharacteristic
398#14556522C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556516C2311yescharacteristic
404#14556516C2311yescharacteristic
405#14556515C2311yescharacteristic
406#14556515C2311yescharacteristic
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#14556511C2311yescharacteristic
422#14556511C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556511C2311yescharacteristic
426#14556511C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556503C2311yescharacteristic
430#14556503C2311yescharacteristic
431#14556502C2311yescharacteristic
432#14556502C2311yescharacteristic
433#14556502C2311yescharacteristic
434#14556502C2311yescharacteristic
435#14556501C2311yescharacteristic
436#14556501C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C8×Dic73C2311yescharacteristic
439C2×#41×C73—21no—
440C22×Q8×C73C2311yescharacteristic
441C2×SD16×C73C2311yescharacteristic
442C2×SD16×C73C2311yescharacteristic
443C2×SD16×C73C2311yescharacteristic
444C2×SD16×C73C2311yescharacteristic
445C4⋊Q8×C73C2311yescharacteristic
446#127×C73C2311yescharacteristic
447#124×C73—21no—
448#121×C73—21no—
449#121×C73C2311yescharacteristic
450#121×C73C2311yescharacteristic
451C4×Q8×C73—21no—
452C4×Q8×C73—21no—
453C4×Q8×C73C2311yescharacteristic
454C4×Q8×C73C2311yescharacteristic
455C4×Q8×C73C2311yescharacteristic
456C4×Q8×C73C2311yescharacteristic
457C4×D4×C73—21no—
458C4×D4×C73C2311yescharacteristic
459C4×D4×C73C2311yescharacteristic
460C2×C4⋊C4×C73—21no—
461C2×C4⋊C4×C73C2311yescharacteristic
462C2×C42×C73—21no—
463C2×C42×C73C2311yescharacteristic
464#107×C73C2311yescharacteristic
465#107×C73C2311yescharacteristic
466#107×C73C2311yescharacteristic
467#107×C73C2311yescharacteristic
468C4⋊C8×C73C2311yescharacteristic
469C4⋊C8×C73C2311yescharacteristic
470#103×C73C2311yescharacteristic
471#103×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#103×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478C22⋊C8×C73C2311yescharacteristic
479C22⋊C8×C73C2311yescharacteristic
480#97×C73C2311yescharacteristic
481#97×C73C2311yescharacteristic
482C23×D73—21no—
483C23×D73—21no—
484C23×D73—21no—
485#11924029—22no—
486#11924029—41no—
487#11924029—44no—
488#11924028—24no—
489#11924028—44no—
490#11924028—44no—
491#11924028—44no—
492#11924027—44no—
493#11924027—44no—
494#11924027—44no—
495C2×Dic146—21no—
496C2×Dic146—21no—
497C2×Dic146—21no—
498C2×Dic146—21no—
499C2×Dic146C2×D411yescharacteristic
500C2×Dic146C2411yescharacteristic
501Q8×D73—22no—
502Q8×D73—41no—
503Q8×D73—44no—
504C2×D292—22no—
505C2×D292—21no—
506C2×D292—21no—
507C2×D292—21no—
508C2×D292—21no—
509C2×D292—21no—
510C2×D292—41no—
511C2×D292C2×D411yescharacteristic
512C2×D292C2411yescharacteristic
513C2×D292C2411yescharacteristic
514C2×D292C2411yescharacteristic
515C2×C22⋊D73—21no—
516C2×C22⋊D73—21no—
517C2×C22⋊D73—21no—
518C2×C22⋊D73—21no—
519C2×C22⋊D73—21no—
520C2×C22⋊D73—21no—
521C2×C22⋊D73—21no—
522C2×C22⋊D73—21no—
523C2×C22⋊D73—21no—
524C2×C22⋊D73C2×D411yescharacteristic
525C2×C22⋊D73C2×D411yescharacteristic
526D4×D73—22no—
527D4×D73—22no—
528D4×D73—41no—
529D4×D73—41no—
530D4×D73—44no—
531D4×D73—44no—
532D4×D73—44no—
533C22×Dic73—21no—
534C22×Dic73—21no—
535C22×Dic73—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—21no—
546C2×C4×D73—21no—
547C2×C4×D73—21no—
548C2×C4×D73—21no—
549C2×C4×D73—44no—
550C2×C4×D73—44no—
551C2×C4×D73—44no—
552C2×C4×D73C2×D411yescharacteristic
553C2×C4×D73C2×D411yescharacteristic
554C2×C4×D73C2×D411yescharacteristic
555C2×C4×D73C2×D411yescharacteristic
556C2×C4×D73C2411yescharacteristic
557C2×C4×D73C2411yescharacteristic
558#11924017—22no—
559#11924017—41no—
560#11924016—22no—
561#11924016—41no—
562#11924015—22no—
563#11924015—22no—
564#11924015—22no—
565#11924015#4114yescomplemented
566D584—22no—
567D584—41no—
568#11924013—22no—
569#11924013—41no—
570#11924011—22no—
571#11924011—41no—
572C2×#10596831—22no—
573C2×#10596831—41no—
574C2×#10596831C2411yescharacteristic
575C2×#10596831C2411yescharacteristic
576C2×#10596831C2411yescharacteristic
577C2×#10596831C2411yescharacteristic
578C8×D73—22no—
579C8×D73—41no—
580C4⋊Dic73—21no—
581C4⋊Dic73—21no—
582C4⋊Dic73—21no—
583C4⋊Dic73—21no—
584C4⋊Dic73—21no—
585C4⋊Dic73C2×D411yescharacteristic
586C4⋊Dic73C2×D411yescharacteristic
587C4⋊Dic73C2411yescharacteristic
588C4⋊Dic73C2411yescharacteristic
589C4⋊Dic73C2411yescharacteristic
590C4⋊Dic73C2411yescharacteristic
591#11924007—21no—
592#11924007—21no—
593#11924007—21no—
594#11924007—21no—
595#11924007—21no—
596#11924007—21no—
597#11924007—21no—
598#11924007—21no—
599#11924007—21no—
600#11924007—21no—
601#11924007—21no—
602#11924007—21no—
603#11924007—21no—
604#11924007—21no—
605#11924007—21no—
606#11924007—21no—
607#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⋊Dic73C2×D411yescharacteristic
617C22⋊Dic73C2×D411yescharacteristic
618#11924005—21no—
619#11924005—21no—
620#11924005—21no—
621#11924005—21no—
622#11924005—21no—
623#11924005—21no—
624#11924005—21no—
625#11924005—21no—
626#11924005—21no—
627#11924005—21no—
628#11924005—21no—
629#11924005—21no—
630#11924005—21no—
631#11924005—21no—
632#11924005—21no—
633#11924005—21no—
634#11924005—21no—
635#11924005—21no—
636#11924005—21no—
637#11924005—21no—
638#11924005C2×D411yescharacteristic
639#11924005C2×D411yescharacteristic
640#11924005C2×D411yescharacteristic
641#11924005C2×D411yescharacteristic
642C4×Dic73—21no—
643C4×Dic73—21no—
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
653#41×C73—44no—
654C2×Q8×C73—21no—
655C2×Q8×C73—21no—
656C2×Q8×C73—22no—
657C2×Q8×C73—41no—
658C2×Q8×C73C2411yescharacteristic
659C2×Q8×C73C2411yescharacteristic
660C2×D4×C73—21no—
661C2×D4×C73—21no—
662C2×D4×C73—21no—
663C2×D4×C73—21no—
664C2×D4×C73C2411yescharacteristic
665C2×D4×C73C2411yescharacteristic
666C22×C4×C73—21no—
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—22no—
675SD16×C73—41no—
676SD16×C73—41no—
677C2×C8×C73C2411yescharacteristic
678C2×C8×C73C2411yescharacteristic
679C2×C8×C73C2411yescharacteristic
680C2×C8×C73C2411yescharacteristic
681C4⋊C4×C73—21no—
682C4⋊C4×C73—21no—
683C4⋊C4×C73—21no—
684C4⋊C4×C73—21no—
685C4⋊C4×C73—21no—
686C4⋊C4×C73—21no—
687C4⋊C4×C73C2411yescharacteristic
688C4⋊C4×C73C2411yescharacteristic
689C4⋊C4×C73C2411yescharacteristic
690C4⋊C4×C73C2411yescharacteristic
691C22⋊C4×C73—21no—
692C22⋊C4×C73—21no—
693C22⋊C4×C73—21no—
694C22⋊C4×C73—21no—
695C42×C73—21no—
696C42×C73—21no—
697C42×C73—21no—
698C42×C73—21no—
699C42×C73C2×D411yescharacteristic
700C42×C73C2×D411yescharacteristic
701C42×C73C2411yescharacteristic
702C42×C73C2411yescharacteristic
703C23×C73—21no—
704C23×C73—21no—
705C23×C73C22×D411yescharacteristic
706C22×D73—21no—
707C22×D73—21no—
708C22×D73—21no—
709C22×D73—42no—
710C22×D73—42no—
711C22×D73—42no—
712C22×D73—42no—
713C22×D73—42no—
714C22×D73—42no—
715C22×D73—81no—
716C22×D73—81no—
717C22×D73—81no—
718C22×D73C22×D411yescharacteristic
719C22×D73C22×D411yescharacteristic
720Q8×C73—21no—
721Q8×C73—21no—
722Q8×C73—21no—
723Q8×C73—42no—
724Q8×C73—42no—
725Q8×C73C2×#4112yescomplemented
726D4×C73—21no—
727D4×C73—21no—
728D4×C73—21no—
729D4×C73—21no—
730D4×C73—42no—
731D4×C73—42no—
732D4×C73—42no—
733D4×C73—81no—
734C2×C4×C73—22no—
735C2×C4×C73—21no—
736C2×C4×C73—21no—
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—41no—
744C2×C4×C73—42no—
745C2×C4×C73—42no—
746C2×C4×C73—42no—
747C2×C4×C73—42no—
748C2×C4×C73C22×D411yescharacteristic
749C2×C4×C73C22×D411yescharacteristic
750C2×C4×C73C22×D411yescharacteristic
751C2×C4×C73C22×D411yescharacteristic
752C2×C4×C73C22×D411yescharacteristic
753C2×C4×C73C2511yescharacteristic
754C22⋊D73—22no—
755C22⋊D73—42no—
756C22⋊D73—42no—
757C22⋊D73—42no—
758C22⋊D73—42no—
759C22⋊D73—42no—
760C22⋊D73—42no—
761C22⋊D73—42no—
762C22⋊D73—81no—
763C22⋊D73—81no—
764C22⋊D73AGL(1,ℤ/8)14yescomplemented
765C2×Dic73—21no—
766C2×Dic73—21no—
767C2×Dic73—21no—
768C2×Dic73—21no—
769C2×Dic73—21no—
770C2×Dic73—42no—
771C2×Dic73—42no—
772C2×Dic73—42no—
773C2×Dic73C22×D411yescharacteristic
774C2×Dic73C22×D411yescharacteristic
775C2×Dic73C22×D411yescharacteristic
776C2×Dic73C22×D411yescharacteristic
777C2×Dic73C22×D411yescharacteristic
778C2×Dic73C22×D411yescharacteristic
779D292—22no—
780D292—21no—
781D292—21no—
782D292—21no—
783D292—21no—
784D292—21no—
785D292—42no—
786D292—42no—
787D292—42no—
788D292—42no—
789D292—42no—
790D292C2×#4112yes—
791C4×D73—22no—
792C4×D73—21no—
793C4×D73—21no—
794C4×D73—21no—
795C4×D73—21no—
796C4×D73—22no—
797C4×D73—41no—
798C4×D73—41no—
799C4×D73—42no—
800C4×D73—42no—
801C4×D73—42no—
802C4×D73—42no—
803C4×D73—42no—
804C4×D73—42no—
805C4×D73—42no—
806C4×D73—42no—
807C4×D73—42no—
808C4×D73—42no—
809C4×D73—42no—
810C4×D73—42no—
811C4×D73—42no—
812Dic146—22no—
813Dic146—21no—
814Dic146—21no—
815Dic146—42no—
816Dic146—42no—
817Dic146—42no—
818Dic146—42no—
819C8×C73—21no—
820C8×C73—21no—
821C8×C73—21no—
822C8×C73—21no—
823#10596831—21no—
824#10596831—21no—
825#10596831—21no—
826#10596831C2×#4112yescomplemented
827C22×C73—21no—
828C22×C73—21no—
829C22×C73—41no—
830C22×C73—41no—
831C22×C73—41no—
832C22×C73—41no—
833C22×C73—41no—
834C22×C73—41no—
835C22×C73C2×AGL(1,ℤ/8)12yes—
836C22×C73C23×D411yescharacteristic
837C2×D73—21no—
838C2×D73—21no—
839C2×D73—21no—
840C2×D73—21no—
841C2×D73—22no—
842C2×D73—21no—
843C2×D73—41no—
844C2×D73—41no—
845C2×D73—41no—
846C2×D73—41no—
847C2×D73—41no—
848C2×D73—41no—
849C2×D73—41no—
850C2×D73—41no—
851C2×D73—84no—
852C2×D73—84no—
853C2×D73—84no—
854C2×D73C2×AGL(1,ℤ/8)12yes—
855C4×C73—21no—
856C4×C73—21no—
857C4×C73—22no—
858C4×C73—21no—
859C4×C73—21no—
860C4×C73—21no—
861C4×C73—41no—
862C4×C73—41no—
863C4×C73—41no—
864C4×C73—41no—
865C4×C73—41no—
866C4×C73C22×#4111yescharacteristic
867C4×C73#58511yescharacteristic
868Dic73—21no—
869Dic73—21no—
870Dic73—21no—
871Dic73—21no—
872Dic73—21no—
873Dic73—41no—
874Dic73—41no—
875Dic73—41no—
876Dic73—41no—
877Dic73—41no—
878Dic73C2×AGL(1,ℤ/8)12yes—
879#61452—731nomaximal, Sylow
880C2×C73—22no—
881C2×C73—81no—
882C2×C73—81no—
883C2×C73D4×#4111yescharacteristic
884C2×C73C22×AGL(1,ℤ/8)11yescharacteristic
885C2×C73#358611yescharacteristic
886D73—22no—
887D73—41no—
888D73—42no—
889D73—81no—
890D73—81no—
891#3482—731no—
892D4×#41—731no—
893#3397—731no—
894#3386—731no—
895#3368—731no—
896#3367—731no—
897#3343—731no—
898#3343—731no—
899#3334—731no—
900#3310—731no—
901#3310—731no—
902#3308—731no—
903#3308—731no—
904#3298—731no—
905#3294—731no—
906D4×SD16—731no—
907#3265—731no—
908#3265—731no—
909#3182—731no—
910#3180—731no—
911#3180—731no—
912#3115—731no—
913#3114—731no—
914#3114—731no—
915#3112—731no—
916#3112D7311yescharacteristic, complemented
917#3110—731no—
918#2970—731no—
919C4×AGL(1,ℤ/8)—731no—
920C2×#440—731no—
921C2×#440—731no—
922C73#6145211yescharacteristic, complemented, Sylow
923C22×#41—1461no—
924C2×AGL(1,ℤ/8)—731no—
925C22×SD16—731no—
926C22×SD16—731no—
927#557—731no—
928#556—731no—
929#556—1461no—
930#552—731no—
931#552—731no—
932#552—1461no—
933#552—1461no—
934#550—731no—
935D4×Q8—731no—
936D4×Q8—731no—
937#548—731no—
938#548—731no—
939#548—1461no—
940#547—731no—
941#547—731no—
942#547—731no—
943#547—731no—
944#547—1461no—
945#546—1461no—
946#546—1461no—
947#546—1461no—
948D42—731no—
949D42—731no—
950D42—731no—
951#533—731no—
952#533—1461no—
953#532—731no—
954#532—731no—
955#532C2×D7311yescharacteristic
956#529—731no—
957#529—731no—
958#529—1461no—
959#529—1461no—
960#525—1461no—
961#525—1461no—
962#525—1461no—
963C4×#41—731no—
964C4×#41—731no—
965C4×#41—1461no—
966C2×C4×Q8—731no—
967C2×C4×Q8C2×D7311yescharacteristic, complemented
968C2×C4×D4—731no—
969C2×C4×D4—731no—
970C2×C4×D4—731no—
971#501—731no—
972#501—731no—
973#500—731no—
974#496—731no—
975#496—731no—
976#492—731no—
977#490—731no—
978#490—731no—
979#489—731no—
980#489—731no—
981#487—731no—
982#486—731no—
983#484—731no—
984#484—731no—
985#483—731no—
986#483—731no—
987#482—731no—
988#482—731no—
989#480—731no—
990#480—731no—
991#480—731no—
992#480—731no—
993#480C2×D7311yescharacteristic, complemented
994#480C2×D7311yescharacteristic, complemented
995#478—731no—
996#478—731no—
997#478—731no—
998#478—731no—
999#477—731no—
1000#477—731no—
1001#477C2×D7311yescharacteristic, complemented
1002#477C2×D7311yescharacteristic, complemented
1003#475—731no—
1004#474—731no—
1005#474—731no—
1006#474—731no—
1007#468—731no—
1008#468—731no—
1009#468—731no—
1010#468—731no—
1011#466—731no—
1012#466—731no—
1013#466—731no—
1014#466—731no—
1015#465—731no—
1016#465—731no—
1017#465—731no—
1018#465—731no—
1019#463—731no—
1020#463—731no—
1021#463—731no—
1022#463—731no—
1023#461—731no—
1024#461—731no—
1025#460—731no—
1026#460—731no—
1027#460—731no—
1028#460C2×D7311yescharacteristic, complemented
1029#460C2×D7311yescharacteristic, complemented
1030#459—731no—
1031#450—731no—
1032#450—731no—
1033#450—731no—
1034#450—731no—
1035#449—731no—
1036#449—731no—
1037#448—731no—
1038#448—731no—
1039#448C2×D7311yescharacteristic, complemented
1040#448C2×D7311yescharacteristic, complemented
1041#447—731no—
1042#447—731no—
1043#446—731no—
1044#446—731no—
1045#442—731no—
1046#442—731no—
1047#442—731no—
1048#442—731no—
1049#440—731no—
1050#440—731no—
1051#440—731no—
1052#440—731no—
1053#440—731no—
1054#440—731no—
1055#440—731no—
1056#440—731no—
1057#440—731no—
1058#440—731no—
1059#440—731no—
1060#440—731no—
1061#440—731no—
1062#440—731no—
1063#440—731no—
1064#440—731no—
1065#440C2×D7311yescharacteristic, complemented
1066#440C2×D7311yescharacteristic, complemented
1067#440C2×D7311yescharacteristic, complemented
1068#440C2×D7311yescharacteristic, complemented
1069C4×SD16—731no—
1070C4×SD16—731no—
1071C4×D8—731no—
1072C4×D8—731no—
1073#435—731no—
1074#435—731no—
1075#435—731no—
1076#435—731no—
1077C8×D4—731no—
1078C8×D4—731no—
1079#432—731no—
1080#432—731no—
1081#432C2×D7311yescharacteristic, complemented
1082#428—731no—
1083C2×#107—731no—
1084C2×#107—731no—
1085#418—731no—
1086#417—731no—
1087C2×#103—731no—
1088C2×#103—731no—
1089C2×#102—731no—
1090C2×#102—731no—
1091C4×M16—731no—
1092C2×#97—731no—
1093C2×#97—731no—
1094C2×#41—21no—
1095C2×#41—2928no—
1096C2×#41—731no—
1097C2×#41—731no—
1098C2×#41—1461no—
1099C2×#41—1461no—
1100C2×#41—1461no—
1101C2×#41—1461no—
1102C2×#41—1461no—
1103C2×#41—1461no—
1104C2×#41—1461no—
1105C22×Q8—731no—
1106C22×Q8—1461no—
1107C22×Q8C22×D7311yescharacteristic
1108C22×D4—731no—
1109C22×D4—731no—
1110C22×D4—731no—
1111C22×D4—1461no—
1112C22×D4—1461no—
1113C22×D4—1461no—
1114C23×C4—1461no—
1115C23×C4—1461no—
1116C23×C4—1461no—
1117AGL(1,ℤ/8)—1464no—
1118C2×SD16—731no—
1119C2×SD16—731no—
1120C2×SD16—731no—
1121C2×SD16—731no—
1122C2×SD16—731no—
1123C2×SD16—731no—
1124C2×SD16—731no—
1125C2×SD16—731no—
1126C2×SD16—1464no—
1127C2×SD16—1464no—
1128C2×SD16C22×D7311yescharacteristic
1129C2×SD16C22×D7311yescharacteristic
1130C2×SD16C22×D7311yescharacteristic
1131C2×SD16C22×D7311yescharacteristic
1132C2×D8—731no—
1133C2×D8—731no—
1134C2×D8—731no—
1135C2×D8—731no—
1136C2×M16—731no—
1137C2×M16—731no—
1138C22×C8—731no—
1139C22×C8—731no—
1140C22×C8—731no—
1141C22×C8—731no—
1142C4⋊Q8—731no—
1143C4⋊Q8—731no—
1144C4⋊Q8—731no—
1145C4⋊Q8—731no—
1146C4⋊Q8—1461no—
1147C4⋊Q8—1461no—
1148C4⋊Q8C22×D7311yescharacteristic
1149#127—731no—
1150#127—731no—
1151#127C22×D7311yescharacteristic
1152#126—1461no—
1153#126—1461no—
1154#126—1461no—
1155#126—1461no—
1156#126—1461no—
1157#126—1461no—
1158#125—731no—
1159#125—731no—
1160#125—1461no—
1161#125—1461no—
1162#125—1461no—
1163#125—1461no—
1164#125—1461no—
1165#124—21no—
1166#124—731no—
1167#124—731no—
1168#124—1461no—
1169#124—1461no—
1170#124—1461no—
1171#124—1461no—
1172#123—1461no—
1173#123—1461no—
1174#123—1461no—
1175#123—1461no—
1176#123—1461no—
1177#123—1461no—
1178#123—1461no—
1179#123—1461no—
1180#123—1461no—
1181#123—1461no—
1182#123—1461no—
1183#123—1461no—
1184C22⋊Q8—731no—
1185C22⋊Q8—731no—
1186C22⋊Q8—731no—
1187C22⋊Q8—731no—
1188C22⋊Q8—1461no—
1189C22⋊Q8—1461no—
1190C22⋊Q8—1461no—
1191C22⋊Q8—1461no—
1192C22⋊Q8—1461no—
1193C22⋊Q8—1461no—
1194C22⋊Q8—1461no—
1195C22⋊Q8—1461no—
1196C22⋊Q8—1461no—
1197C22⋊Q8—1461no—
1198C22⋊Q8—1461no—
1199C22⋊Q8—1461no—
1200C22⋊Q8—1461no—
1201#121—21no—
1202#121—731no—
1203#121—731no—
1204#121—731no—
1205#121—731no—
1206#121—731no—
1207#121—731no—
1208#121—1461no—
1209#121—1461no—
1210#121—1461no—
1211#121—1461no—
1212#121—1461no—
1213#121—1461no—
1214#121—1461no—
1215#121—1461no—
1216#121—1461no—
1217#121—1461no—
1218#121C22×D7311yescharacteristic
1219#121C22×D7311yescharacteristic
1220#120—1461no—
1221#120—1461no—
1222#120—1461no—
1223#120—1461no—
1224#120—1461no—
1225#120—1461no—
1226C4×Q8—21no—
1227C4×Q8—21no—
1228C4×Q8—731no—
1229C4×Q8—731no—
1230C4×Q8—731no—
1231C4×Q8—731no—
1232C4×Q8—731no—
1233C4×Q8—731no—
1234C4×Q8—1461no—
1235C4×Q8—1461no—
1236C4×Q8—1461no—
1237C4×Q8—1461no—
1238C4×Q8C22×D7311yescharacteristic
1239C4×Q8C22×D7311yescharacteristic
1240C4×Q8C22×D7311yescharacteristic
1241C4×Q8C22×D7311yescharacteristic
1242C4×D4—21no—
1243C4×D4—731no—
1244C4×D4—731no—
1245C4×D4—731no—
1246C4×D4—731no—
1247C4×D4—731no—
1248C4×D4—731no—
1249C4×D4—731no—
1250C4×D4—731no—
1251C4×D4—731no—
1252C4×D4—731no—
1253C4×D4—731no—
1254C4×D4—731no—
1255C4×D4—731no—
1256C4×D4—731no—
1257C4×D4—731no—
1258C4×D4—731no—
1259C4×D4—1461no—
1260C4×D4—1461no—
1261C4×D4—1461no—
1262C4×D4—1461no—
1263C4×D4—1461no—
1264C4×D4—1461no—
1265C4×D4—1461no—
1266C4×D4—1461no—
1267C4×D4—1461no—
1268C4×D4—1461no—
1269C4×D4—1461no—
1270C4×D4—1461no—
1271C4×D4—1461no—
1272C4×D4—1461no—
1273C4×D4—1461no—
1274C4×D4C22×D7311yescharacteristic
1275C4×D4C22×D7311yescharacteristic
1276#117—731no—
1277#117—731no—
1278#117—731no—
1279#117—731no—
1280#117—1461no—
1281#117—1461no—
1282#117—1461no—
1283#117—1461no—
1284#117—1461no—
1285#117—1461no—
1286#117—1461no—
1287C2×C4⋊C4—21no—
1288C2×C4⋊C4—731no—
1289C2×C4⋊C4—731no—
1290C2×C4⋊C4—731no—
1291C2×C4⋊C4—731no—
1292C2×C4⋊C4—1461no—
1293C2×C4⋊C4C22×D7311yescharacteristic
1294C2×C22⋊C4—1461no—
1295C2×C22⋊C4—1461no—
1296C2×C22⋊C4—1461no—
1297C2×C42—21no—
1298C2×C42—731no—
1299C2×C42—731no—
1300C2×C42—1461no—
1301C2×C42—1461no—
1302C2×C42C22×D7311yescharacteristic
1303#107—731no—
1304#107—731no—
1305#107—731no—
1306#107—731no—
1307#107—731no—
1308#107—731no—
1309#107—731no—
1310#107—731no—
1311#107C22×D7311yescharacteristic
1312#107C22×D7311yescharacteristic
1313#107C22×D7311yescharacteristic
1314#107C22×D7311yescharacteristic
1315#106—731no—
1316#106—731no—
1317#106—731no—
1318#106—731no—
1319C4⋊C8—731no—
1320C4⋊C8—731no—
1321C4⋊C8—731no—
1322C4⋊C8—731no—
1323C4⋊C8C22×D7311yescharacteristic
1324C4⋊C8C22×D7311yescharacteristic
1325#103—731no—
1326#103—731no—
1327#103—731no—
1328#103—731no—
1329#103—731no—
1330#103—731no—
1331#103—731no—
1332#103—731no—
1333#103C22×D7311yescharacteristic
1334#103C22×D7311yescharacteristic
1335#103C22×D7311yescharacteristic
1336#103C22×D7311yescharacteristic
1337#102—731no—
1338#102—731no—
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#102C22×D7311yescharacteristic
1354#102C22×D7311yescharacteristic
1355#102C22×D7311yescharacteristic
1356#102C22×D7311yescharacteristic
1357C22⋊C8—731no—
1358C22⋊C8—731no—
1359C22⋊C8—731no—
1360C22⋊C8—731no—
1361C22⋊C8C22×D7311yescharacteristic
1362C22⋊C8C22×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—
1373C24—1461no—
1374C24—1461no—
1375C24—1461no—
1376#41—44no—
1377#41—2924no—
1378#41—2924no—
1379#41—2924no—
1380#41—2924no—
1381#41—2924no—
1382#41—2924no—
1383#41—2924no—
1384#41—2921no—
1385#41—1464no—
1386#41—1462no—
1387C2×Q8—21no—
1388C2×Q8—21no—
1389C2×Q8—22no—
1390C2×Q8—41no—
1391C2×Q8—2924no—
1392C2×Q8—2921no—
1393C2×Q8—731no—
1394C2×Q8—731no—
1395C2×Q8—1461no—
1396C2×Q8—1461no—
1397C2×Q8—1461no—
1398C2×Q8—1461no—
1399C2×Q8—1462no—
1400C2×Q8C23×D7311yescharacteristic
1401C2×Q8C23×D7311yescharacteristic
1402C2×D4—21no—
1403C2×D4—21no—
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—2921no—
1407C2×D4—2924no—
1408C2×D4—2924no—
1409C2×D4—2924no—
1410C2×D4—2921no—
1411C2×D4—2921no—
1412C2×D4—731no—
1413C2×D4—731no—
1414C2×D4—731no—
1415C2×D4—731no—
1416C2×D4—731no—
1417C2×D4—731no—
1418C2×D4—1461no—
1419C2×D4—1461no—
1420C2×D4—1461no—
1421C2×D4—1461no—
1422C2×D4—1462no—
1423C2×D4—1461no—
1424C2×D4—1461no—
1425C2×D4—1461no—
1426C2×D4—1461no—
1427C2×D4—1461no—
1428C2×D4—1461no—
1429C2×D4—1462no—
1430C2×D4—1462no—
1431C2×D4—1461no—
1432C2×D4—1461no—
1433C2×D4—1461no—
1434C2×D4—1461no—
1435C2×D4C23×D7311yescharacteristic
1436C2×D4C23×D7311yescharacteristic
1437C22×C4—21no—
1438C22×C4—21no—
1439C22×C4—21no—
1440C22×C4—21no—
1441C22×C4—2924no—
1442C22×C4—2924no—
1443C22×C4—2924no—
1444C22×C4—731no—
1445C22×C4—731no—
1446C22×C4—731no—
1447C22×C4—731no—
1448C22×C4—731no—
1449C22×C4—731no—
1450C22×C4—1461no—
1451C22×C4—1461no—
1452C22×C4—1461no—
1453C22×C4—1461no—
1454C22×C4—1461no—
1455C22×C4—1461no—
1456C22×C4—1461no—
1457C22×C4—1461no—
1458C22×C4—1461no—
1459C22×C4—1461no—
1460C22×C4—1461no—
1461C22×C4—1461no—
1462C22×C4—1461no—
1463C22×C4—1461no—
1464C22×C4—1461no—
1465C22×C4—1461no—
1466C22×C4D4×D7311yescharacteristic
1467C22×C4D4×D7311yescharacteristic
1468C22×C4C23×D7311yescharacteristic
1469SD16—22no—
1470SD16—22no—
1471SD16—41no—
1472SD16—41no—
1473SD16—2921no—
1474SD16—2921no—
1475SD16—734no—
1476SD16—1462no—
1477SD16—1462no—
1478SD16—1462no—
1479SD16—1462no—
1480SD16—1462no—
1481D8—2921no—
1482D8—2921no—
1483D8—1462no—
1484D8—1462no—
1485M16—2921no—
1486M16—1462no—
1487C2×C8—2921no—
1488C2×C8—2921no—
1489C2×C8—731no—
1490C2×C8—731no—
1491C2×C8—731no—
1492C2×C8—731no—
1493C2×C8—1462no—
1494C2×C8—1462no—
1495C2×C8C23×D7311yescharacteristic
1496C2×C8C23×D7311yescharacteristic
1497C2×C8C23×D7311yescharacteristic
1498C2×C8C23×D7311yescharacteristic
1499C4⋊C4—21no—
1500C4⋊C4—21no—
1501C4⋊C4—21no—
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—731no—
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—1461no—
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⋊C4—1461no—
1536C4⋊C4C23×D7311yescharacteristic
1537C4⋊C4C23×D7311yescharacteristic
1538C4⋊C4C23×D7311yescharacteristic
1539C4⋊C4C23×D7311yescharacteristic
1540C22⋊C4—21no—
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—731no—
1545C22⋊C4—731no—
1546C22⋊C4—731no—
1547C22⋊C4—731no—
1548C22⋊C4—731no—
1549C22⋊C4—731no—
1550C22⋊C4—1461no—
1551C22⋊C4—1461no—
1552C22⋊C4—1461no—
1553C22⋊C4—1461no—
1554C22⋊C4—1461no—
1555C22⋊C4—1461no—
1556C22⋊C4—1461no—
1557C22⋊C4—1461no—
1558C22⋊C4—1461no—
1559C22⋊C4—1461no—
1560C22⋊C4—1461no—
1561C22⋊C4—1461no—
1562C22⋊C4—1461no—
1563C22⋊C4—1461no—
1564C22⋊C4—1461no—
1565C22⋊C4—1461no—
1566C22⋊C4—1461no—
1567C22⋊C4—1461no—
1568C22⋊C4—1461no—
1569C22⋊C4—1461no—
1570C22⋊C4—1461no—
1571C22⋊C4—1461no—
1572C22⋊C4—1461no—
1573C22⋊C4—1461no—
1574C22⋊C4—1461no—
1575C42—21no—
1576C42—21no—
1577C42—21no—
1578C42—21no—
1579C42—731no—
1580C42—731no—
1581C42—731no—
1582C42—731no—
1583C42—731no—
1584C42—731no—
1585C42—1461no—
1586C42—1461no—
1587C42—1461no—
1588C42—1461no—
1589C42—1461no—
1590C42D4×D7311yescharacteristic
1591C42D4×D7311yescharacteristic
1592C42C23×D7311yescharacteristic
1593C42C23×D7311yescharacteristic
1594C23—21no—
1595C23—21no—
1596C23—2922no—
1597C23—2922no—
1598C23—2922no—
1599C23—2922no—
1600C23—2922no—
1601C23—2922no—
1602C23—5841no—
1603C23—5841no—
1604C23—5841no—
1605C23—731no—
1606C23—731no—
1607C23—1461no—
1608C23—1461no—
1609C23—1461no—
1610C23C2×D4×D7311yescharacteristic
1611Q8—21no—
1612Q8—21no—
1613Q8—21no—
1614Q8—42no—
1615Q8—42no—
1616Q8—2922no—
1617Q8—2922no—
1618Q8—2922no—
1619Q8—2922no—
1620Q8—1462no—
1621Q8—1461no—
1622Q8—1461no—
1623Q8#41×D7312yescomplemented
1624D4—21no—
1625D4—21no—
1626D4—21no—
1627D4—21no—
1628D4—42no—
1629D4—42no—
1630D4—42no—
1631D4—81no—
1632D4—2922no—
1633D4—2922no—
1634D4—2922no—
1635D4—2922no—
1636D4—2922no—
1637D4—2922no—
1638D4—2922no—
1639D4—2922no—
1640D4—2922no—
1641D4—2922no—
1642D4—2922no—
1643D4—2922no—
1644D4—5841no—
1645D4—5841no—
1646D4—734no—
1647D4—732no—
1648D4—1462no—
1649D4—1462no—
1650D4—1461no—
1651D4—1461no—
1652D4—1461no—
1653D4—1461no—
1654D4—1461no—
1655C2×C4—21no—
1656C2×C4—22no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—41no—
1665C2×C4—42no—
1666C2×C4—42no—
1667C2×C4—42no—
1668C2×C4—42no—
1669C2×C4—2922no—
1670C2×C4—2922no—
1671C2×C4—2922no—
1672C2×C4—2922no—
1673C2×C4—2922no—
1674C2×C4—2922no—
1675C2×C4—2922no—
1676C2×C4—2921no—
1677C2×C4—2921no—
1678C2×C4—2922no—
1679C2×C4—2922no—
1680C2×C4—2922no—
1681C2×C4—2922no—
1682C2×C4—2922no—
1683C2×C4—2922no—
1684C2×C4—2922no—
1685C2×C4—2922no—
1686C2×C4—2922no—
1687C2×C4—731no—
1688C2×C4—731no—
1689C2×C4—731no—
1690C2×C4—731no—
1691C2×C4—731no—
1692C2×C4—731no—
1693C2×C4—1462no—
1694C2×C4—1462no—
1695C2×C4—1461no—
1696C2×C4—1461no—
1697C2×C4—1461no—
1698C2×C4—1461no—
1699C2×C4—1461no—
1700C2×C4—1461no—
1701C2×C4—1461no—
1702C2×C4—1461no—
1703C2×C4—1461no—
1704C2×C4C2×D4×D7311yescharacteristic
1705C2×C4C2×D4×D7311yescharacteristic
1706C2×C4C2×D4×D7311yescharacteristic
1707C2×C4C2×D4×D7311yescharacteristic
1708C2×C4C2×D4×D7311yescharacteristic
1709C2×C4C24×D7311yescharacteristic
1710C8—21no—
1711C8—21no—
1712C8—21no—
1713C8—21no—
1714C8—732no—
1715C8—1461no—
1716C8—1461no—
1717C8—1461no—
1718C22—21no—
1719C22—21no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—2921no—
1727C22—2921no—
1728C22—2921no—
1729C22—2921no—
1730C22—2921no—
1731C22—2921no—
1732C22—2921no—
1733C22—2921no—
1734C22—5844no—
1735C22—5844no—
1736C22—5844no—
1737C22—732no—
1738C22—1461no—
1739C22—1461no—
1740C22—1462no—
1741C22—1461no—
1742C22—1461no—
1743C22—1461no—
1744C22AGL(1,ℤ/8)×D7312yes—
1745C22C22×D4×D7311yescharacteristic
1746C4—21no—
1747C4—21no—
1748C4—21no—
1749C4—22no—
1750C4—21no—
1751C4—21no—
1752C4—41no—
1753C4—41no—
1754C4—41no—
1755C4—41no—
1756C4—41no—
1757C4—2921no—
1758C4—2921no—
1759C4—2921no—
1760C4—2921no—
1761C4—2921no—
1762C4—732no—
1763C4—1461no—
1764C4—1461no—
1765C4—1461no—
1766C4—1461no—
1767C4—1461no—
1768C4C2×#41×D7311yescharacteristic
1769C4#1798942311yescharacteristic
1770C2—22no—
1771C2—81no—
1772C2—81no—
1773C2—2922no—
1774C2—2921no—
1775C2—5841no—
1776C2—5841no—
1777C2—1462no—
1778C2#2262341411yescharacteristic
1779C2C2×AGL(1,ℤ/8)×D7311yescharacteristic
1780C2#2262471411yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3112C2
socleC22×C73C23×D4
hypercenter#3112D73
hypocenterC73#61452
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3112

Complements

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

NH ≅ G/Ntype
1. #22623548C2semidirect
2. #22623417C2semidirect
3. #22622946C2semidirect
4. #22622855C2semidirect
5. #22622655C2semidirect
6. #22622652C2semidirect
7. #22622375C2semidirect
8. #22622368C2semidirect
9. #22622273C2semidirect
10. #22621959C2semidirect
11. #22621950C2semidirect
12. #22621926C2semidirect
13. #22621919C2semidirect
14. #22621789C2semidirect
15. #22621742C2semidirect
16. #22621620C2semidirect
17. #22621421C2semidirect
18. #22621419C2semidirect
19. #22620646C2semidirect
20. #22620625C2semidirect
21. #22620623C2semidirect
22. #22620080C2semidirect
23. #22620073C2semidirect
24. #22620071C2semidirect
25. #22620051C2semidirect
26. #22620028C2semidirect
27. #22618940C2semidirect
28. #22618736C2semidirect
29. C2×#17988685C2semidirect
30. #440×D73C2semidirect
31. C73×#3112C2semidirect
36. #17989313C22semidirect
38. #17989309C22semidirect
40. #17989278C22semidirect
42. #17989272C22semidirect
45. Q8×C22⋊D73C22semidirect
46. #17989249C22semidirect
47. #17989248C22semidirect
51. #17989238C22semidirect
61. #17989141C22semidirect
65. #17989124C22semidirect
67. #17989121C22semidirect
71. C4×#11924029C22semidirect
74. C4×Q8×D73C22semidirect
78. #17988995C22semidirect
79. #17988993C22semidirect
80. #17988991C22semidirect
81. #17988974C22semidirect
82. #17988973C22semidirect
83. #17988958C22semidirect
84. #17988951C22semidirect
85. #17988950C22semidirect
86. #17988949C22semidirect
87. #17988948C22semidirect
88. #17988936C22semidirect
89. #17988932C22semidirect
90. #17988924C22semidirect
91. #17988921C22semidirect
92. #17988918C22semidirect
93. #17988916C22semidirect
94. #17988914C22semidirect
95. #17988910C22semidirect
96. #17988902C22semidirect
97. #17988902C22semidirect
98. #17988901C22semidirect
99. #17988899C22semidirect
101. #17988889C22semidirect
103. #17988888C22semidirect
104. #17988881C22semidirect
105. #17988880C22semidirect
106. #17988870C22semidirect
108. #17988866C22semidirect
109. #17988865C22semidirect
110. #17988836C22semidirect
111. #17988834C22semidirect
112. #17988832C22semidirect
113. #17988830C22semidirect
114. #17988824C22semidirect
115. #17988822C22semidirect
116. #17988821C22semidirect
117. #17988821C22semidirect
118. #17988819C22semidirect
119. #17988814C22semidirect
120. #17988814C22semidirect
121. #17988813C22semidirect
123. #17988804C22semidirect
125. #17988803C22semidirect
127. #17988790C22semidirect
128. #17988786C22semidirect
129. #17988785C22semidirect
130. #17988785C22semidirect
131. #17988781C22semidirect
136. #17988735C22semidirect
137. #17988731C22semidirect
138. #17988727C22semidirect
139. #17988724C22semidirect
142. #17988716C22semidirect
143. #17988716C22semidirect
145. #17988700C22semidirect
146. #17988697C22semidirect
147. #17988697C22semidirect
150. #17988689C22semidirect
151. #17988688C22semidirect
152. #17988687C22semidirect
153. #17988687C22semidirect
159. #17988685C22semidirect
160. #17988685C22semidirect
161. #17988685C22semidirect
162. #17988685C22semidirect
163. #17988684C22semidirect
164. SD16×Dic73C22semidirect
167. #17988667C22semidirect
168. #17988657C22semidirect
169. #17988657C22semidirect
170. #17988655C22semidirect
171. #17988655C22semidirect
172. #17988650C22semidirect
173. #17988650C22semidirect
174. #17988642C22semidirect
175. #17988642C22semidirect
176. #17988628C22semidirect
177. C2×#14556524C22semidirect
178. #107×D73C22semidirect
180. #17988587C22semidirect
181. C2×#14556515C22semidirect
182. #103×D73C22semidirect
185. #17988539C22semidirect
186. C2×#14556502C22semidirect
187. #97×D73C22semidirect
189. C2×C4×Q8×C73C22semidirect
190. #480×C73C22semidirect
191. #480×C73C22semidirect
192. #477×C73C22semidirect
193. #477×C73C22semidirect
194. #460×C73C22semidirect
195. #460×C73C22semidirect
196. #448×C73C22semidirect
197. #448×C73C22semidirect
198. #440×C73C22semidirect
199. #440×C73C22semidirect
200. #440×C73C22semidirect
201. #440×C73C22semidirect
202. #432×C73C22semidirect
565. #11924015#41semidirect
725. Q8×C73C2×#41semidirect
764. C22⋊D73AGL(1,ℤ/8)semidirect
826. #10596831C2×#41semidirect
916. #3112D73semidirect
922. C73#61452semidirect
967. C2×C4×Q8C2×D73semidirect
993. #480C2×D73semidirect
994. #480C2×D73semidirect
1001. #477C2×D73semidirect
1002. #477C2×D73semidirect
1028. #460C2×D73semidirect
1029. #460C2×D73semidirect
1039. #448C2×D73semidirect
1040. #448C2×D73semidirect
1065. #440C2×D73semidirect
1066. #440C2×D73semidirect
1067. #440C2×D73semidirect
1068. #440C2×D73semidirect
1081. #432C2×D73semidirect
1623. Q8#41×D73semidirect

Maximal subgroups

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

subgroupindex
#226235482
#226234172
#226229462
#226228552
#226226552
#226226522
#226223752
#226223682
#226222732
#226219592
#226219502
#226219262
#226219192
#226217892
#226217422
#226216202
#226214212
#226214192
#226206462
#226206252
#226206232
#226200802
#226200732
#226200712
#226200512
#226200282
#226189402
#226187362
C2×#179886852
#440×D732
C73×#31122
#6145273