Finite Group Databasebeta

← #33967916

Subgroups — #33967916

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#22623544C211yesmaximal, characteristic, complemented
2D4×#11924028C211yesmaximal, characteristic, complemented
3#22622954C211yesmaximal, characteristic, complemented
4#22622847C211yesmaximal, characteristic, complemented
5#22622663C211yesmaximal, characteristic, complemented
6#22622644C211yesmaximal, characteristic, complemented
7#22622378C211yesmaximal, characteristic, complemented
8#22622369C211yesmaximal, characteristic, complemented
9#22622273C211yesmaximal, characteristic, complemented
10#22621956C211yesmaximal, characteristic, complemented
11#22621949C211yesmaximal, characteristic, complemented
12#22621929C211yesmaximal, characteristic, complemented
13#22621920C211yesmaximal, characteristic, complemented
14#22621794C211yesmaximal, characteristic, complemented
15#22621737C211yesmaximal, characteristic, complemented
16#22621625C211yesmaximal, characteristic, complemented
17#22621432C211yesmaximal, characteristic, complemented
18#22621430C211yesmaximal, characteristic, complemented
19#22620646C211yesmaximal, characteristic, complemented
20#22620630C211yesmaximal, characteristic, complemented
21#22620627C211yesmaximal, characteristic, complemented
22#22620078C211yesmaximal, characteristic, complemented
23#22620067C211yesmaximal, characteristic, complemented
24#22620054C211yesmaximal, characteristic, complemented
25#22620051C211yesmaximal, characteristic, complemented
26#22620028C211yesmaximal, characteristic, complemented
27#22618940C211yesmaximal, characteristic, complemented
28#22618742C211yesmaximal, characteristic, complemented
29C2×#17988687C211yesmaximal, characteristic, complemented
30#440×D73C211yesmaximal, characteristic, complemented
31C73×#3114C211yesmaximal, characteristic, complemented
32C22×#11924028—21no—
33C2×#14556615C2211yescharacteristic
34C22×#11924016C2211yescharacteristic
35C2×SD16×D73C2211yescharacteristic
36#17989314C2211yescharacteristic, complemented
37#17989306C2211yescharacteristic, complemented
38#17989304—21no—
39#17989279C2211yescharacteristic, complemented
40#17989275C2211yescharacteristic, complemented
41#17989274—21no—
42#17989273—21no—
43#17989258C2211yescharacteristic
44D4×Dic146C2211yescharacteristic
45#17989250C2211yescharacteristic, complemented
46#17989246—21no—
47#17989245C2211yescharacteristic, complemented
48#17989243C2211yescharacteristic, complemented
49#17989242C2211yescharacteristic
50#17989238C2211yescharacteristic
51#17989238C2211yescharacteristic
52#17989237C2211yescharacteristic, complemented
53#17989235—21no—
54#17989233—21no—
55#17989227—21no—
56#17989227—21no—
57D4×D292C2211yescharacteristic
58D4×C22⋊D73C2211yescharacteristic
59D4×C22⋊D73C2211yescharacteristic
60#17989141C2211yescharacteristic, complemented
61#17989140—21no—
62#17989137C2211yescharacteristic
63#17989134C2211yescharacteristic
64#17989134C2211yescharacteristic
65#17989119C2211yescharacteristic, complemented
66#17989117—21no—
67#17989115—21no—
68#17989098—21no—
69#17989096—21no—
70#17989096—21no—
71C4×#11924028C2211yescharacteristic
72C4×#11924027—21no—
73C4×#11924027C2211yescharacteristic, complemented
74C2×C4×Dic146C2211yescharacteristic, complemented
75C4×Q8×D73C2211yescharacteristic, complemented
76C4×D4×D73C2211yescharacteristic
77C4×D4×D73C2211yescharacteristic
78#17988997C2211yescharacteristic, complemented
79#17988994C2211yescharacteristic, complemented
80#17988991C2211yescharacteristic, complemented
81#17988977C2211yescharacteristic, complemented
82#17988975C2211yescharacteristic, complemented
83#17988958C2211yescharacteristic, complemented
84#17988953C2211yescharacteristic, complemented
85#17988950C2211yescharacteristic, complemented
86#17988946C2211yescharacteristic, complemented
87#17988945C2211yescharacteristic, complemented
88#17988936C2211yescharacteristic, complemented
89#17988932C2211yescharacteristic, complemented
90#17988924C2211yescharacteristic, complemented
91#17988921C2211yescharacteristic, complemented
92#17988919C2211yescharacteristic, complemented
93#17988913C2211yescharacteristic, complemented
94#17988909C2211yescharacteristic, complemented
95#17988902C2211yescharacteristic, complemented
96#17988901C2211yescharacteristic, complemented
97#17988901C2211yescharacteristic, complemented
98#17988899C2211yescharacteristic, complemented
99#17988899C2211yescharacteristic, complemented
100#17988886C2211yescharacteristic, complemented
101#17988885C2211yescharacteristic
102#17988883C2211yescharacteristic, complemented
103#17988883C2211yescharacteristic, complemented
104#17988881C2211yescharacteristic, complemented
105#17988880C2211yescharacteristic, complemented
106#17988871C2211yescharacteristic, complemented
107#17988866C2211yescharacteristic, complemented
108#17988865C2211yescharacteristic
109#17988865C2211yescharacteristic, complemented
110#17988836C2211yescharacteristic, complemented
111#17988834C2211yescharacteristic, complemented
112#17988832C2211yescharacteristic, complemented
113#17988830C2211yescharacteristic, complemented
114#17988822C2211yescharacteristic, complemented
115#17988821C2211yescharacteristic, complemented
116#17988821C2211yescharacteristic, complemented
117#17988820C2211yescharacteristic, complemented
118#17988818C2211yescharacteristic, complemented
119#17988818C2211yescharacteristic, complemented
120#17988817C2211yescharacteristic, complemented
121#17988815C2211yescharacteristic, complemented
122#17988801C2211yescharacteristic, complemented
123#17988800C2211yescharacteristic
124#17988791C2211yescharacteristic, complemented
125#17988790C2211yescharacteristic
126#17988788C2211yescharacteristic, complemented
127#17988788C2211yescharacteristic, complemented
128#17988786C2211yescharacteristic, complemented
129#17988786C2211yescharacteristic, complemented
130#17988785C2211yescharacteristic, complemented
131#17988780C2211yescharacteristic, complemented
132#17988739C2211yescharacteristic
133#17988739C2211yescharacteristic
134#17988736C2211yescharacteristic
135#17988733C2211yescharacteristic, complemented
136#17988729C2211yescharacteristic, complemented
137#17988728C2211yescharacteristic, complemented
138#17988728C2211yescharacteristic, complemented
139#17988727C2211yescharacteristic, complemented
140#17988724C2211yescharacteristic, complemented
141#17988719C2211yescharacteristic
142#17988716C2211yescharacteristic, complemented
143#17988716C2211yescharacteristic, complemented
144#17988697C2211yescharacteristic, complemented
145#17988697C2211yescharacteristic, complemented
146#17988690C2211yescharacteristic, complemented
147#17988689C2211yescharacteristic, complemented
148#17988689C2211yescharacteristic, complemented
149#17988689C2211yescharacteristic, complemented
150#17988689C2211yescharacteristic, complemented
151#17988688C2211yescharacteristic
152#17988687C2211yescharacteristic
153#17988687C2211yescharacteristic
154#17988687C2211yescharacteristic
155#17988687C2211yescharacteristic
156#17988687C2211yescharacteristic, complemented
157#17988687C2211yescharacteristic, complemented
158#17988687C2211yescharacteristic, complemented
159#17988687C2211yescharacteristic, complemented
160#17988686C2211yescharacteristic, complemented
161#17988685C2211yescharacteristic, complemented
162#17988685C2211yescharacteristic, complemented
163#17988684C2211yescharacteristic
164#17988678C2211yescharacteristic
165#17988674C2211yescharacteristic, complemented
166D8×Dic73C2211yescharacteristic
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#17988626C2211yescharacteristic, complemented
177C2×#14556524C2211yescharacteristic, complemented
178#107×D73C2211yescharacteristic, complemented
179#17988590C2211yescharacteristic
180#17988585C2211yescharacteristic, complemented
181C2×#14556514C2211yescharacteristic, complemented
182#103×D73C2211yescharacteristic, complemented
183C2×#14556512C2211yescharacteristic
184#102×D73C2211yescharacteristic
185#17988539C2211yescharacteristic, complemented
186C2×#14556502C2211yescharacteristic, complemented
187#97×D73C2211yescharacteristic, complemented
188#529×C73C2211yescharacteristic, complemented
189C2×C4×D4×C73C2211yescharacteristic
190#483×C73C2211yescharacteristic, complemented
191#480×C73C2211yescharacteristic, complemented
192#478×C73C2211yescharacteristic
193#478×C73C2211yescharacteristic, complemented
194#463×C73C2211yescharacteristic
195#463×C73C2211yescharacteristic, complemented
196#450×C73C2211yescharacteristic
197#447×C73C2211yescharacteristic
198#442×C73C2211yescharacteristic
199#442×C73C2211yescharacteristic, complemented
200#440×C73C2211yescharacteristic
201#440×C73C2211yescharacteristic, complemented
202#432×C73C2211yescharacteristic, complemented
203C2×#11924028—21no—
204C2×#11924028—21no—
205C2×#11924028—21no—
206C2×#11924028—21no—
207C2×#11924028—21no—
208C2×#11924028—21no—
209C2×#11924028—21no—
210C2×#11924028—48no—
211C2×#11924028D411yescharacteristic
212C2×#11924027—21no—
213C2×#11924027C2311yescharacteristic
214C22×Dic146—21no—
215C22×Dic146C2311yescharacteristic
216C2×Q8×D73C2311yescharacteristic
217C22×D292—21no—
218C22×C22⋊D73—21no—
219C22×C22⋊D73—21no—
220C2×D4×D73C2311yescharacteristic
221C2×D4×D73C2311yescharacteristic
222C22×C4×D73—21no—
223C22×C4×D73—21no—
224#14556615—24no—
225C2×#11924017C2311yescharacteristic
226C2×#11924017C2311yescharacteristic
227C2×#11924017C2311yescharacteristic
228C2×#11924017C2311yescharacteristic
229C2×#11924016—24no—
230C2×#11924016C2311yescharacteristic
231C2×#11924016C2311yescharacteristic
232C2×#11924016C2311yescharacteristic
233C2×#11924016C2311yescharacteristic
234C2×#11924015C2311yescharacteristic
235C2×#11924015C2311yescharacteristic
236SD16×D73—24no—
237C2×#11924013C2311yescharacteristic
238C2×#11924013C2311yescharacteristic
239C2×#11924011C2311yescharacteristic
240C2×#11924011C2311yescharacteristic
241C22×#10596831C2311yescharacteristic
242C22×#10596831C2311yescharacteristic
243C2×C8×D73C2311yescharacteristic
244C2×C8×D73C2311yescharacteristic
245#14556591C2311yescharacteristic
246#14556590—21no—
247#14556590—21no—
248#14556590C2311yescharacteristic
249#14556590C2311yescharacteristic
250#14556590C2311yescharacteristic
251#14556589C2311yescharacteristic
252#14556588C2311yescharacteristic
253#14556587C2311yescharacteristic
254#14556587C2311yescharacteristic
255#14556586—21no—
256#14556586—21no—
257#14556584—21no—
258#14556584—21no—
259#14556584—21no—
260#14556582—21no—
261#14556582—21no—
262#14556582C2311yescharacteristic
263#14556581—21no—
264#14556581—21no—
265#14556581—21no—
266#14556579—21no—
267#14556578C2311yescharacteristic
268#14556577—21no—
269#14556577—21no—
270#14556577—21no—
271#14556577—21no—
272#14556576—21no—
273#14556576—21no—
274#14556576—21no—
275#14556575—21no—
276#14556574—21no—
277#14556574—21no—
278#14556573—21no—
279#14556573—21no—
280#14556573—21no—
281#14556573—21no—
282#14556572—21no—
283#14556571C2311yescharacteristic
284#14556571C2311yescharacteristic
285#14556570—21no—
286#14556570—21no—
287#14556569—21no—
288#14556569—21no—
289#14556569—21no—
290#14556569—21no—
291#14556568—21no—
292#14556568—21no—
293#14556568—21no—
294#14556568—21no—
295#14556568—21no—
296#14556568—21no—
297#14556568—21no—
298#14556567C2311yescharacteristic
299#14556566C2311yescharacteristic
300#14556566C2311yescharacteristic
301#14556565—21no—
302#14556565—21no—
303#14556565—21no—
304#14556565C2311yescharacteristic
305#14556565C2311yescharacteristic
306#14556564—21no—
307#14556564—21no—
308#14556564—21no—
309#14556564—21no—
310#14556564—21no—
311#14556563—21no—
312#14556563—21no—
313#14556563—21no—
314#14556562C2311yescharacteristic
315#14556562C2311yescharacteristic
316#14556562C2311yescharacteristic
317#14556561—21no—
318#14556561—21no—
319#14556560—21no—
320#14556560—21no—
321#14556559—21no—
322#14556559—21no—
323Q8×Dic73C2311yescharacteristic
324C4×Dic146—21no—
325C4×Dic146—21no—
326C4×Dic146—21no—
327C4×Dic146—21no—
328C4×Dic146D411yescharacteristic
329C4×Dic146C2311yescharacteristic
330C4×Dic146C2311yescharacteristic
331C4×Dic146C2311yescharacteristic
332C4×Dic146C2311yescharacteristic
333C4×Dic146C2311yescharacteristic
334#14556556—21no—
335#14556556—21no—
336#14556556C2311yescharacteristic
337#14556556C2311yescharacteristic
338C4×D292—21no—
339C4×D292D411yescharacteristic
340C4×D292C2311yescharacteristic
341C4×D292C2311yescharacteristic
342C4×D292C2311yescharacteristic
343D4×Dic73—21no—
344D4×Dic73C2311yescharacteristic
345D4×Dic73C2311yescharacteristic
346D4×Dic73C2311yescharacteristic
347#14556553C2311yescharacteristic
348#14556553C2311yescharacteristic
349C4×C22⋊D73—21no—
350C4×C22⋊D73—21no—
351C4×C22⋊D73—21no—
352C4×C22⋊D73—21no—
353C4×C22⋊D73—21no—
354C4×C22⋊D73—21no—
355C4×C22⋊D73D411yescharacteristic
356C4×C22⋊D73D411yescharacteristic
357C4×C22⋊D73C2311yescharacteristic
358C4×C22⋊D73C2311yescharacteristic
359#14556551—21no—
360#14556551—21no—
361#14556551—21no—
362#14556551—21no—
363#14556551—21no—
364#14556550—21no—
365#14556550D411yescharacteristic
366#14556549—21no—
367#14556549C2311yescharacteristic
368#14556548—21no—
369#14556548D411yescharacteristic
370#14556548D411yescharacteristic
371#14556547—21no—
372#14556547—21no—
373#14556547—21no—
374C2×C4⋊Dic73C2311yescharacteristic
375C2×#11924007—21no—
376C4⋊C4×D73—21no—
377C4⋊C4×D73C2311yescharacteristic
378C4⋊C4×D73C2311yescharacteristic
379C4⋊C4×D73C2311yescharacteristic
380C22⋊C4×D73—21no—
381C22⋊C4×D73—21no—
382C2×C4×Dic73—21no—
383C2×C4×Dic73—21no—
384C42×D73—21no—
385C42×D73C2311yescharacteristic
386C42×D73C2311yescharacteristic
387#14556525C2311yescharacteristic
388#14556525C2311yescharacteristic
389#14556525C2311yescharacteristic
390#14556525C2311yescharacteristic
391#14556524C2311yescharacteristic
392#14556524C2311yescharacteristic
393#14556524C2311yescharacteristic
394#14556524C2311yescharacteristic
395#14556524C2311yescharacteristic
396#14556524C2311yescharacteristic
397#14556522C2311yescharacteristic
398#14556522C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556516C2311yescharacteristic
404#14556516C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556515C2311yescharacteristic
408#14556515C2311yescharacteristic
409#14556514C2311yescharacteristic
410#14556514C2311yescharacteristic
411#14556514C2311yescharacteristic
412#14556514C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556512C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556511C2311yescharacteristic
426#14556511C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556503C2311yescharacteristic
430#14556503C2311yescharacteristic
431#14556502C2311yescharacteristic
432#14556502C2311yescharacteristic
433#14556502C2311yescharacteristic
434#14556502C2311yescharacteristic
435#14556501C2311yescharacteristic
436#14556501C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C8×Dic73C2311yescharacteristic
439C22×D4×C73C2311yescharacteristic
440C23×C4×C73—21no—
441C2×SD16×C73C2311yescharacteristic
442C2×SD16×C73C2311yescharacteristic
443C2×D8×C73C2311yescharacteristic
444C2×D8×C73C2311yescharacteristic
445#126×C73—21no—
446#125×C73C2311yescharacteristic
447#124×C73C2311yescharacteristic
448#123×C73—21no—
449C22⋊Q8×C73C2311yescharacteristic
450#121×C73C2311yescharacteristic
451C4×Q8×C73C2311yescharacteristic
452C4×D4×C73—21no—
453C4×D4×C73—21no—
454C4×D4×C73—21no—
455C4×D4×C73C2311yescharacteristic
456C4×D4×C73C2311yescharacteristic
457C4×D4×C73C2311yescharacteristic
458C4×D4×C73C2311yescharacteristic
459C4×D4×C73C2311yescharacteristic
460#117×C73—21no—
461C2×C4⋊C4×C73C2311yescharacteristic
462C2×C22⋊C4×C73—21no—
463C2×C42×C73C2311yescharacteristic
464#107×C73C2311yescharacteristic
465#107×C73C2311yescharacteristic
466#106×C73C2311yescharacteristic
467#106×C73C2311yescharacteristic
468C4⋊C8×C73C2311yescharacteristic
469C4⋊C8×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
478C22⋊C8×C73C2311yescharacteristic
479C22⋊C8×C73C2311yescharacteristic
480#97×C73C2311yescharacteristic
481#97×C73C2311yescharacteristic
482C23×D73—21no—
483C23×D73—21no—
484#11924028—24no—
485#11924028—44no—
486#11924028—44no—
487#11924028—44no—
488#11924028—44no—
489#11924028—44no—
490#11924028—44no—
491#11924028—44no—
492#11924027—22no—
493#11924027—41no—
494#11924027—44no—
495C2×Dic146—22no—
496C2×Dic146—21no—
497C2×Dic146—21no—
498C2×Dic146—21no—
499C2×Dic146—21no—
500C2×Dic146—21no—
501C2×Dic146—21no—
502C2×Dic146—41no—
503C2×Dic146—44no—
504C2×Dic146C2×D411yescharacteristic
505C2×Dic146C2411yescharacteristic
506C2×Dic146C2411yescharacteristic
507Q8×D73—22no—
508Q8×D73—41no—
509C2×D292—21no—
510C2×D292—21no—
511C2×D292—21no—
512C2×D292—21no—
513C2×D292—44no—
514C2×D292C2×D411yescharacteristic
515C2×D292C2411yescharacteristic
516C2×D292C2411yescharacteristic
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⋊D73—21no—
525C2×C22⋊D73—21no—
526C2×C22⋊D73—21no—
527C2×C22⋊D73—21no—
528C2×C22⋊D73—21no—
529C2×C22⋊D73—44no—
530C2×C22⋊D73—44no—
531C2×C22⋊D73C2×D411yescharacteristic
532C2×C22⋊D73C2×D411yescharacteristic
533D4×D73—22no—
534D4×D73—22no—
535D4×D73—41no—
536D4×D73—41no—
537C22×Dic73—21no—
538C22×Dic73—21no—
539C22×Dic73—21no—
540C22×Dic73—21no—
541C22×Dic73—21no—
542C22×Dic73—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—21no—
550C2×C4×D73—21no—
551C2×C4×D73—44no—
552C2×C4×D73—44no—
553C2×C4×D73C2×D411yescharacteristic
554C2×C4×D73C2×D411yescharacteristic
555C2×C4×D73C2×D411yescharacteristic
556C2×C4×D73C2×D411yescharacteristic
557C2×C4×D73C2411yescharacteristic
558C2×C4×D73C2411yescharacteristic
559#11924017—22no—
560#11924017—22no—
561#11924017—41no—
562#11924017—41no—
563#11924016—22no—
564#11924016—22no—
565#11924016—22no—
566#11924016#4114yescomplemented
567#11924015—22no—
568#11924015—41no—
569#11924013—22no—
570#11924013—41no—
571#11924011—22no—
572#11924011—41no—
573C2×#10596831—22no—
574C2×#10596831—41no—
575C2×#10596831C2411yescharacteristic
576C2×#10596831C2411yescharacteristic
577C2×#10596831C2411yescharacteristic
578C2×#10596831C2411yescharacteristic
579C8×D73—22no—
580C8×D73—41no—
581C4⋊Dic73—21no—
582C4⋊Dic73—21no—
583C4⋊Dic73—21no—
584C4⋊Dic73—21no—
585C4⋊Dic73—21no—
586C4⋊Dic73—21no—
587C4⋊Dic73C2×D411yescharacteristic
588C4⋊Dic73C2×D411yescharacteristic
589C4⋊Dic73C2411yescharacteristic
590C4⋊Dic73C2411yescharacteristic
591C4⋊Dic73C2411yescharacteristic
592C4⋊Dic73C2411yescharacteristic
593#11924007—21no—
594#11924007—21no—
595#11924007—21no—
596#11924007—21no—
597#11924007—21no—
598#11924007—21no—
599#11924007—21no—
600#11924007—21no—
601#11924007—21no—
602#11924007—21no—
603#11924007—21no—
604#11924007—21no—
605#11924007—21no—
606#11924007—21no—
607#11924007—21no—
608#11924007—21no—
609#11924007C2×D411yescharacteristic
610#11924007C2×D411yescharacteristic
611#11924007C2×D411yescharacteristic
612#11924007C2×D411yescharacteristic
613C22⋊Dic73—21no—
614C22⋊Dic73—21no—
615C22⋊Dic73—21no—
616C22⋊Dic73—21no—
617C22⋊Dic73—21no—
618C22⋊Dic73—21no—
619C22⋊Dic73—21no—
620C22⋊Dic73—21no—
621C22⋊Dic73C2×D411yescharacteristic
622C22⋊Dic73C2×D411yescharacteristic
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#11924005C2×D411yescharacteristic
636#11924005C2×D411yescharacteristic
637#11924005C2×D411yescharacteristic
638#11924005C2×D411yescharacteristic
639C4×Dic73—21no—
640C4×Dic73—21no—
641C4×Dic73—21no—
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
653C24×C73—21no—
654C2×Q8×C73C2411yescharacteristic
655C2×D4×C73—22no—
656C2×D4×C73—21no—
657C2×D4×C73—21no—
658C2×D4×C73—41no—
659C2×D4×C73C2411yescharacteristic
660C2×D4×C73C2411yescharacteristic
661C2×D4×C73C2411yescharacteristic
662C22×C4×C73—21no—
663C22×C4×C73—21no—
664C22×C4×C73—21no—
665C22×C4×C73—21no—
666C22×C4×C73—21no—
667C22×C4×C73—21no—
668C22×C4×C73—44no—
669C22×C4×C73C2×D411yescharacteristic
670C22×C4×C73C2×D411yescharacteristic
671C22×C4×C73C2411yescharacteristic
672SD16×C73—22no—
673SD16×C73—41no—
674D8×C73—22no—
675D8×C73—41no—
676C2×C8×C73C2411yescharacteristic
677C2×C8×C73C2411yescharacteristic
678C2×C8×C73C2411yescharacteristic
679C2×C8×C73C2411yescharacteristic
680C4⋊C4×C73—21no—
681C4⋊C4×C73—21no—
682C4⋊C4×C73—21no—
683C4⋊C4×C73—21no—
684C4⋊C4×C73—21no—
685C4⋊C4×C73C2411yescharacteristic
686C4⋊C4×C73C2411yescharacteristic
687C4⋊C4×C73C2411yescharacteristic
688C4⋊C4×C73C2411yescharacteristic
689C22⋊C4×C73—21no—
690C22⋊C4×C73—21no—
691C22⋊C4×C73—21no—
692C22⋊C4×C73—21no—
693C22⋊C4×C73—21no—
694C22⋊C4×C73—21no—
695C22⋊C4×C73—21no—
696C22⋊C4×C73—21no—
697C22⋊C4×C73—21no—
698C42×C73—21no—
699C42×C73C2×D411yescharacteristic
700C42×C73C2×D411yescharacteristic
701C42×C73C2411yescharacteristic
702C42×C73C2411yescharacteristic
703C23×C73—21no—
704C23×C73—21no—
705C23×C73—21no—
706C23×C73—42no—
707C23×C73—42no—
708C23×C73—81no—
709C23×C73C22×D411yescharacteristic
710C22×D73—21no—
711C22×D73—21no—
712C22×D73—42no—
713C22×D73—42no—
714C22×D73—42no—
715C22×D73—42no—
716C22×D73—81no—
717C22×D73—81no—
718C22×D73C22×D411yescharacteristic
719C22×D73C22×D411yescharacteristic
720Q8×C73—21no—
721Q8×C73—21no—
722D4×C73—21no—
723D4×C73—21no—
724D4×C73—21no—
725D4×C73—21no—
726D4×C73—21no—
727D4×C73—42no—
728D4×C73—42no—
729D4×C73C2×#4112yes—
730C2×C4×C73—22no—
731C2×C4×C73—21no—
732C2×C4×C73—21no—
733C2×C4×C73—21no—
734C2×C4×C73—21no—
735C2×C4×C73—21no—
736C2×C4×C73—21no—
737C2×C4×C73—21no—
738C2×C4×C73—41no—
739C2×C4×C73—42no—
740C2×C4×C73—42no—
741C2×C4×C73—42no—
742C2×C4×C73—42no—
743C2×C4×C73—42no—
744C2×C4×C73—42no—
745C2×C4×C73C22×D411yescharacteristic
746C2×C4×C73C22×D411yescharacteristic
747C2×C4×C73C22×D411yescharacteristic
748C2×C4×C73C22×D411yescharacteristic
749C2×C4×C73C22×D411yescharacteristic
750C2×C4×C73C2511yescharacteristic
751C22⋊D73—22no—
752C22⋊D73—42no—
753C22⋊D73—42no—
754C22⋊D73—42no—
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—21no—
771C2×Dic73—42no—
772C2×Dic73—42no—
773C2×Dic73—42no—
774C2×Dic73—42no—
775C2×Dic73—42no—
776C2×Dic73—42no—
777C2×Dic73C22×D411yescharacteristic
778C2×Dic73C22×D411yescharacteristic
779C2×Dic73C22×D411yescharacteristic
780C2×Dic73C22×D411yescharacteristic
781C2×Dic73C22×D411yescharacteristic
782C2×Dic73C22×D411yescharacteristic
783D292—22no—
784D292—21no—
785D292—21no—
786D292—21no—
787D292—21no—
788D292—42no—
789D292—42no—
790D292—42no—
791D292—81no—
792C4×D73—22no—
793C4×D73—21no—
794C4×D73—21no—
795C4×D73—21no—
796C4×D73—21no—
797C4×D73—22no—
798C4×D73—41no—
799C4×D73—41no—
800C4×D73—42no—
801C4×D73—42no—
802C4×D73—42no—
803C4×D73—42no—
804C4×D73—42no—
805C4×D73—42no—
806C4×D73—42no—
807C4×D73—42no—
808Dic146—21no—
809Dic146—22no—
810Dic146—21no—
811Dic146—21no—
812Dic146—42no—
813Dic146—42no—
814Dic146—42no—
815Dic146—42no—
816Dic146—42no—
817Dic146—42no—
818Dic146C2×#4112yescomplemented
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—22no—
830C22×C73—41no—
831C22×C73—41no—
832C22×C73—41no—
833C22×C73—41no—
834C22×C73—41no—
835C22×C73—41no—
836C22×C73—41no—
837C22×C73—41no—
838C22×C73—84no—
839C22×C73C2×AGL(1,ℤ/8)12yes—
840C22×C73C23×D411yescharacteristic
841C2×D73—21no—
842C2×D73—21no—
843C2×D73—21no—
844C2×D73—21no—
845C2×D73—21no—
846C2×D73—41no—
847C2×D73—41no—
848C2×D73—41no—
849C2×D73—41no—
850C2×D73—41no—
851C2×D73—41no—
852C2×D73—84no—
853C2×D73—84no—
854C2×D73C2×AGL(1,ℤ/8)12yes—
855C4×C73—21no—
856C4×C73—21no—
857C4×C73—21no—
858C4×C73—21no—
859C4×C73—21no—
860C4×C73—41no—
861C4×C73—41no—
862C4×C73—41no—
863C4×C73—41no—
864C4×C73—41no—
865C4×C73C22×#4111yescharacteristic
866C4×C73#58511yescharacteristic
867Dic73—21no—
868Dic73—21no—
869Dic73—22no—
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—42no—
882C2×C73—81no—
883C2×C73—81no—
884C2×C73D4×#4111yescharacteristic
885C2×C73C22×AGL(1,ℤ/8)11yescharacteristic
886C2×C73#358611yescharacteristic
887D73—22no—
888D73—41no—
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#3114D7311yescharacteristic, complemented
915#3112—731no—
916#3112—731no—
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#532—731no—
956#529—731no—
957#529—1461no—
958#529—1461no—
959#529C2×D7311yescharacteristic, complemented
960#525—1461no—
961#525—1461no—
962#525—1461no—
963C4×#41—731no—
964C4×#41—731no—
965C4×#41—1461no—
966C2×C4×Q8—731no—
967C2×C4×Q8—731no—
968C2×C4×D4—731no—
969C2×C4×D4—731no—
970C2×C4×D4C2×D7311yescharacteristic
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#483C2×D7311yescharacteristic, complemented
987#482—731no—
988#482—731no—
989#480—731no—
990#480—731no—
991#480—731no—
992#480—731no—
993#480—731no—
994#480C2×D7311yescharacteristic, complemented
995#478—731no—
996#478—731no—
997#478C2×D7311yescharacteristic
998#478C2×D7311yescharacteristic, complemented
999#477—731no—
1000#477—731no—
1001#477—731no—
1002#477—731no—
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#463C2×D7311yescharacteristic
1022#463C2×D7311yescharacteristic, complemented
1023#461—731no—
1024#461—731no—
1025#460—731no—
1026#460—731no—
1027#460—731no—
1028#460—731no—
1029#460—731no—
1030#459—731no—
1031#450—731no—
1032#450—731no—
1033#450—731no—
1034#450C2×D7311yescharacteristic
1035#449—731no—
1036#449—731no—
1037#448—731no—
1038#448—731no—
1039#448—731no—
1040#448—731no—
1041#447—731no—
1042#447C2×D7311yescharacteristic
1043#446—731no—
1044#446—731no—
1045#442—731no—
1046#442—731no—
1047#442C2×D7311yescharacteristic
1048#442C2×D7311yescharacteristic, complemented
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#440—731no—
1066#440—731no—
1067#440C2×D7311yescharacteristic
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—2928no—
1095C2×#41—731no—
1096C2×#41—731no—
1097C2×#41—1461no—
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—731no—
1107C22×Q8—1461no—
1108C22×D4—731no—
1109C22×D4—731no—
1110C22×D4—1461no—
1111C22×D4—1461no—
1112C22×D4—1461no—
1113C22×D4C22×D7311yescharacteristic
1114C23×C4—21no—
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—731no—
1127C2×SD16—731no—
1128C2×SD16—1464no—
1129C2×SD16—1464no—
1130C2×SD16C22×D7311yescharacteristic
1131C2×SD16C22×D7311yescharacteristic
1132C2×D8—731no—
1133C2×D8—731no—
1134C2×D8C22×D7311yescharacteristic
1135C2×D8C22×D7311yescharacteristic
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—731no—
1147C4⋊Q8—1461no—
1148C4⋊Q8—1461no—
1149#127—731no—
1150#127—731no—
1151#127—731no—
1152#126—21no—
1153#126—1461no—
1154#126—1461no—
1155#126—1461no—
1156#126—1461no—
1157#126—1461no—
1158#125—731no—
1159#125—1461no—
1160#125—1461no—
1161#125—1461no—
1162#125—1461no—
1163#125—1461no—
1164#125C22×D7311yescharacteristic
1165#124—731no—
1166#124—1461no—
1167#124—1461no—
1168#124—1461no—
1169#124—1461no—
1170#124—1461no—
1171#124C22×D7311yescharacteristic
1172#123—21no—
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—1461no—
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⋊Q8C22×D7311yescharacteristic
1201#121—731no—
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#121—1461no—
1219#121C22×D7311yescharacteristic
1220#120—1461no—
1221#120—1461no—
1222#120—1461no—
1223#120—1461no—
1224#120—1461no—
1225#120—1461no—
1226C4×Q8—731no—
1227C4×Q8—731no—
1228C4×Q8—731no—
1229C4×Q8—731no—
1230C4×Q8—731no—
1231C4×Q8—731no—
1232C4×Q8—731no—
1233C4×Q8—731no—
1234C4×Q8—731no—
1235C4×Q8—1461no—
1236C4×Q8—1461no—
1237C4×Q8—1461no—
1238C4×Q8—1461no—
1239C4×Q8—1461no—
1240C4×Q8—1461no—
1241C4×Q8C22×D7311yescharacteristic
1242C4×D4—21no—
1243C4×D4—21no—
1244C4×D4—21no—
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—1461no—
1259C4×D4—1461no—
1260C4×D4—1461no—
1261C4×D4—1461no—
1262C4×D4—1461no—
1263C4×D4—1461no—
1264C4×D4—1461no—
1265C4×D4—1461no—
1266C4×D4—1461no—
1267C4×D4—1461no—
1268C4×D4—1461no—
1269C4×D4—1461no—
1270C4×D4—1461no—
1271C4×D4C22×D7311yescharacteristic
1272C4×D4C22×D7311yescharacteristic
1273C4×D4C22×D7311yescharacteristic
1274C4×D4C22×D7311yescharacteristic
1275C4×D4C22×D7311yescharacteristic
1276#117—21no—
1277#117—731no—
1278#117—731no—
1279#117—731no—
1280#117—731no—
1281#117—1461no—
1282#117—1461no—
1283#117—1461no—
1284#117—1461no—
1285#117—1461no—
1286#117—1461no—
1287C2×C4⋊C4—731no—
1288C2×C4⋊C4—731no—
1289C2×C4⋊C4—731no—
1290C2×C4⋊C4—731no—
1291C2×C4⋊C4—1461no—
1292C2×C4⋊C4—1461no—
1293C2×C4⋊C4C22×D7311yescharacteristic
1294C2×C22⋊C4—21no—
1295C2×C22⋊C4—1461no—
1296C2×C22⋊C4—1461no—
1297C2×C42—731no—
1298C2×C42—731no—
1299C2×C42—1461no—
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#107—731no—
1312#107—731no—
1313#107C22×D7311yescharacteristic
1314#107C22×D7311yescharacteristic
1315#106—731no—
1316#106—731no—
1317#106C22×D7311yescharacteristic
1318#106C22×D7311yescharacteristic
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#103—731no—
1334#103—731no—
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#102C22×D7311yescharacteristic
1352#102C22×D7311yescharacteristic
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—21no—
1374C24—1461no—
1375C24—1461no—
1376#41—2924no—
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—2921no—
1388C2×Q8—2924no—
1389C2×Q8—2921no—
1390C2×Q8—731no—
1391C2×Q8—731no—
1392C2×Q8—731no—
1393C2×Q8—1462no—
1394C2×Q8—1461no—
1395C2×Q8—1461no—
1396C2×Q8—1461no—
1397C2×Q8—1461no—
1398C2×Q8—1462no—
1399C2×Q8—1461no—
1400C2×Q8—1461no—
1401C2×Q8C23×D7311yescharacteristic
1402C2×D4—22no—
1403C2×D4—21no—
1404C2×D4—21no—
1405C2×D4—41no—
1406C2×D4—2924no—
1407C2×D4—2924no—
1408C2×D4—2924no—
1409C2×D4—2921no—
1410C2×D4—2921no—
1411C2×D4—731no—
1412C2×D4—731no—
1413C2×D4—731no—
1414C2×D4—731no—
1415C2×D4—731no—
1416C2×D4—1461no—
1417C2×D4—1461no—
1418C2×D4—1461no—
1419C2×D4—1461no—
1420C2×D4—1461no—
1421C2×D4—1461no—
1422C2×D4—1461no—
1423C2×D4—1461no—
1424C2×D4—1461no—
1425C2×D4—1461no—
1426C2×D4—1461no—
1427C2×D4—1461no—
1428C2×D4—1461no—
1429C2×D4—1461no—
1430C2×D4—1462no—
1431C2×D4—1462no—
1432C2×D4—1461no—
1433C2×D4—1461no—
1434C2×D4C23×D7311yescharacteristic
1435C2×D4C23×D7311yescharacteristic
1436C2×D4C23×D7311yescharacteristic
1437C22×C4—21no—
1438C22×C4—21no—
1439C22×C4—21no—
1440C22×C4—21no—
1441C22×C4—21no—
1442C22×C4—21no—
1443C22×C4—44no—
1444C22×C4—2924no—
1445C22×C4—2924no—
1446C22×C4—731no—
1447C22×C4—731no—
1448C22×C4—731no—
1449C22×C4—731no—
1450C22×C4—731no—
1451C22×C4—731no—
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—41no—
1471SD16—2921no—
1472SD16—2921no—
1473SD16—2921no—
1474SD16—734no—
1475SD16—1462no—
1476SD16—1462no—
1477SD16—1462no—
1478SD16—1462no—
1479SD16—1462no—
1480SD16—1462no—
1481D8—22no—
1482D8—41no—
1483D8—2921no—
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—731no—
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—1461no—
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—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—731no—
1550C22⋊C4—731no—
1551C22⋊C4—731no—
1552C22⋊C4—731no—
1553C22⋊C4—731no—
1554C22⋊C4—731no—
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—731no—
1577C42—731no—
1578C42—731no—
1579C42—731no—
1580C42—731no—
1581C42—731no—
1582C42—1461no—
1583C42—1461no—
1584C42—1461no—
1585C42—1461no—
1586C42—1461no—
1587C42—1461no—
1588C42—1461no—
1589C42—1461no—
1590C42D4×D7311yescharacteristic
1591C42D4×D7311yescharacteristic
1592C42C23×D7311yescharacteristic
1593C42C23×D7311yescharacteristic
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—42no—
1598C23—42no—
1599C23—81no—
1600C23—2922no—
1601C23—2922no—
1602C23—2922no—
1603C23—2922no—
1604C23—5841no—
1605C23—5841no—
1606C23—731no—
1607C23—731no—
1608C23—1461no—
1609C23—1461no—
1610C23C2×D4×D7311yescharacteristic
1611Q8—21no—
1612Q8—21no—
1613Q8—2922no—
1614Q8—2922no—
1615Q8—2922no—
1616Q8—2922no—
1617Q8—2922no—
1618Q8—2922no—
1619Q8—732no—
1620Q8—1462no—
1621Q8—1461no—
1622Q8—1461no—
1623Q8—1461no—
1624D4—21no—
1625D4—21no—
1626D4—21no—
1627D4—21no—
1628D4—21no—
1629D4—42no—
1630D4—42no—
1631D4—2922no—
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—5841no—
1647D4—734no—
1648D4—1462no—
1649D4—1462no—
1650D4—1461no—
1651D4—1461no—
1652D4—1461no—
1653D4—1461no—
1654D4#41×D7312yes—
1655C2×C4—22no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—41no—
1664C2×C4—42no—
1665C2×C4—42no—
1666C2×C4—42no—
1667C2×C4—42no—
1668C2×C4—42no—
1669C2×C4—42no—
1670C2×C4—2922no—
1671C2×C4—2922no—
1672C2×C4—2921no—
1673C2×C4—2921no—
1674C2×C4—2922no—
1675C2×C4—2922no—
1676C2×C4—2922no—
1677C2×C4—2922no—
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—731no—
1687C2×C4—731no—
1688C2×C4—731no—
1689C2×C4—731no—
1690C2×C4—731no—
1691C2×C4—731no—
1692C2×C4—1462no—
1693C2×C4—1462no—
1694C2×C4—1461no—
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—22no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—84no—
1730C22—2921no—
1731C22—2921no—
1732C22—2921no—
1733C22—2921no—
1734C22—2921no—
1735C22—2921no—
1736C22—5844no—
1737C22—5844no—
1738C22—732no—
1739C22—1461no—
1740C22—1461no—
1741C22—1461no—
1742C22—1461no—
1743C22—1461no—
1744C22AGL(1,ℤ/8)×D7312yes—
1745C22C22×D4×D7311yescharacteristic
1746C4—21no—
1747C4—21no—
1748C4—21no—
1749C4—21no—
1750C4—21no—
1751C4—41no—
1752C4—41no—
1753C4—41no—
1754C4—41no—
1755C4—41no—
1756C4—2921no—
1757C4—2921no—
1758C4—2921no—
1759C4—2921no—
1760C4—2921no—
1761C4—732no—
1762C4—1461no—
1763C4—1462no—
1764C4—1461no—
1765C4—1461no—
1766C4—1461no—
1767C4—1461no—
1768C4C2×#41×D7311yescharacteristic
1769C4#1798942311yescharacteristic
1770C2—22no—
1771C2—42no—
1772C2—81no—
1773C2—81no—
1774C2—2921no—
1775C2—5841no—
1776C2—5841no—
1777C2—1462no—
1778C2#2262341411yescharacteristic
1779C2C2×AGL(1,ℤ/8)×D7311yescharacteristic
1780C2#2262471511yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3114C2
socleC22×C73C23×D4
hypercenter#3114D73
hypocenterC73#61452
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3114

Complements

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

NH ≅ G/Ntype
1. #22623544C2semidirect
2. D4×#11924028C2semidirect
3. #22622954C2semidirect
4. #22622847C2semidirect
5. #22622663C2semidirect
6. #22622644C2semidirect
7. #22622378C2semidirect
8. #22622369C2semidirect
9. #22622273C2semidirect
10. #22621956C2semidirect
11. #22621949C2semidirect
12. #22621929C2semidirect
13. #22621920C2semidirect
14. #22621794C2semidirect
15. #22621737C2semidirect
16. #22621625C2semidirect
17. #22621432C2semidirect
18. #22621430C2semidirect
19. #22620646C2semidirect
20. #22620630C2semidirect
21. #22620627C2semidirect
22. #22620078C2semidirect
23. #22620067C2semidirect
24. #22620054C2semidirect
25. #22620051C2semidirect
26. #22620028C2semidirect
27. #22618940C2semidirect
28. #22618742C2semidirect
29. C2×#17988687C2semidirect
30. #440×D73C2semidirect
31. C73×#3114C2semidirect
36. #17989314C22semidirect
37. #17989306C22semidirect
39. #17989279C22semidirect
40. #17989275C22semidirect
45. #17989250C22semidirect
47. #17989245C22semidirect
48. #17989243C22semidirect
52. #17989237C22semidirect
60. #17989141C22semidirect
65. #17989119C22semidirect
73. C4×#11924027C22semidirect
74. C2×C4×Dic146C22semidirect
75. C4×Q8×D73C22semidirect
78. #17988997C22semidirect
79. #17988994C22semidirect
80. #17988991C22semidirect
81. #17988977C22semidirect
82. #17988975C22semidirect
83. #17988958C22semidirect
84. #17988953C22semidirect
85. #17988950C22semidirect
86. #17988946C22semidirect
87. #17988945C22semidirect
88. #17988936C22semidirect
89. #17988932C22semidirect
90. #17988924C22semidirect
91. #17988921C22semidirect
92. #17988919C22semidirect
93. #17988913C22semidirect
94. #17988909C22semidirect
95. #17988902C22semidirect
96. #17988901C22semidirect
97. #17988901C22semidirect
98. #17988899C22semidirect
99. #17988899C22semidirect
100. #17988886C22semidirect
102. #17988883C22semidirect
103. #17988883C22semidirect
104. #17988881C22semidirect
105. #17988880C22semidirect
106. #17988871C22semidirect
107. #17988866C22semidirect
109. #17988865C22semidirect
110. #17988836C22semidirect
111. #17988834C22semidirect
112. #17988832C22semidirect
113. #17988830C22semidirect
114. #17988822C22semidirect
115. #17988821C22semidirect
116. #17988821C22semidirect
117. #17988820C22semidirect
118. #17988818C22semidirect
119. #17988818C22semidirect
120. #17988817C22semidirect
121. #17988815C22semidirect
122. #17988801C22semidirect
124. #17988791C22semidirect
126. #17988788C22semidirect
127. #17988788C22semidirect
128. #17988786C22semidirect
129. #17988786C22semidirect
130. #17988785C22semidirect
131. #17988780C22semidirect
135. #17988733C22semidirect
136. #17988729C22semidirect
137. #17988728C22semidirect
138. #17988728C22semidirect
139. #17988727C22semidirect
140. #17988724C22semidirect
142. #17988716C22semidirect
143. #17988716C22semidirect
144. #17988697C22semidirect
145. #17988697C22semidirect
146. #17988690C22semidirect
147. #17988689C22semidirect
148. #17988689C22semidirect
149. #17988689C22semidirect
150. #17988689C22semidirect
156. #17988687C22semidirect
157. #17988687C22semidirect
158. #17988687C22semidirect
159. #17988687C22semidirect
160. #17988686C22semidirect
161. #17988685C22semidirect
162. #17988685C22semidirect
165. #17988674C22semidirect
167. #17988667C22semidirect
168. #17988657C22semidirect
169. #17988657C22semidirect
170. #17988655C22semidirect
171. #17988655C22semidirect
172. #17988650C22semidirect
173. #17988650C22semidirect
174. #17988642C22semidirect
175. #17988642C22semidirect
176. #17988626C22semidirect
177. C2×#14556524C22semidirect
178. #107×D73C22semidirect
180. #17988585C22semidirect
181. C2×#14556514C22semidirect
182. #103×D73C22semidirect
185. #17988539C22semidirect
186. C2×#14556502C22semidirect
187. #97×D73C22semidirect
188. #529×C73C22semidirect
190. #483×C73C22semidirect
191. #480×C73C22semidirect
193. #478×C73C22semidirect
195. #463×C73C22semidirect
199. #442×C73C22semidirect
201. #440×C73C22semidirect
202. #432×C73C22semidirect
566. #11924016#41semidirect
764. C22⋊D73AGL(1,ℤ/8)semidirect
818. Dic146C2×#41semidirect
826. #10596831C2×#41semidirect
914. #3114D73semidirect
922. C73#61452semidirect
959. #529C2×D73semidirect
986. #483C2×D73semidirect
994. #480C2×D73semidirect
998. #478C2×D73semidirect
1022. #463C2×D73semidirect
1048. #442C2×D73semidirect
1068. #440C2×D73semidirect
1081. #432C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226235442
D4×#119240282
#226229542
#226228472
#226226632
#226226442
#226223782
#226223692
#226222732
#226219562
#226219492
#226219292
#226219202
#226217942
#226217372
#226216252
#226214322
#226214302
#226206462
#226206302
#226206272
#226200782
#226200672
#226200542
#226200512
#226200282
#226189402
#226187422
C2×#179886872
#440×D732
C73×#31142
#6145273