Finite Group Databasebeta

← #33979266

Subgroups — #33979266

Order 18688.

1966 conjugacy classes of subgroups.

The subgroup lattice has 1856 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624265C211yesmaximal, characteristic, complemented
2#22623874C211yesmaximal, characteristic, complemented
3#22623015C211yesmaximal, characteristic, complemented
4#22622975C211yesmaximal, characteristic, complemented
5#22622638C211yesmaximal, characteristic, complemented
6#22622071C211yesmaximal, characteristic, complemented
7#22621949C211yesmaximal, characteristic, complemented
8#22621934C211yesmaximal, characteristic, complemented
9#22621891C211yesmaximal, characteristic, complemented
10#22621765C211yesmaximal, characteristic, complemented
11#22621741C211yesmaximal, characteristic, complemented
12#22621611C211yesmaximal, characteristic, complemented
13D8×D292C211yesmaximal, characteristic, complemented
14#22621473C211yesmaximal, characteristic, complemented
15#22621417C211yesmaximal, characteristic, complemented
16#22621413C211yesmaximal, characteristic, complemented
17#22621406C211yesmaximal, characteristic, complemented
18#22621369C211yesmaximal, characteristic, complemented
19#22621349C211yesmaximal, characteristic, complemented
20#22621285C211yesmaximal, characteristic, complemented
21#22621026C211yesmaximal, characteristic, complemented
22#22620984C211yesmaximal, characteristic, complemented
23#22620950C211yesmaximal, characteristic, complemented
24#22620173C211yesmaximal, characteristic, complemented
25#22620126C211yesmaximal, characteristic, complemented
26#22620073C211yesmaximal, characteristic, complemented
27#22619471C211yesmaximal, characteristic, complemented
28#22619432C211yesmaximal, characteristic, complemented
29#459×D73C211yesmaximal, characteristic, complemented
30#22619069C211yesmaximal, characteristic, complemented
31C73×#3370C211yesmaximal, characteristic, complemented
32C2×#14556618C2211yescharacteristic, complemented
33C2×#14556615C2211yescharacteristic, complemented
34C2×#14556612C2211yescharacteristic, complemented
35C2×D8×D73C2211yescharacteristic, complemented
36C2×D8×D73C2211yescharacteristic, complemented
37C2×D8×D73C2211yescharacteristic, complemented
38#17989327—21no—
39#17989327—21no—
40#17989322C2211yescharacteristic, complemented
41#17989290C2211yescharacteristic, complemented
42#17989285—21no—
43#17989275C2211yescharacteristic, complemented
44#17989264—21no—
45#17989264—21no—
46#17989259C2211yescharacteristic, complemented
47#17989259C2211yescharacteristic, complemented
48#17989240C2211yescharacteristic, complemented
49#17989232C2211yescharacteristic, complemented
50#17989232C2211yescharacteristic, complemented
51#17989230—21no—
52#17989230C2211yescharacteristic
53#17989230C2211yescharacteristic, complemented
54#17989228—21no—
55D4×D292—21no—
56D4×D292C2211yescharacteristic
57D4×D292C2211yescharacteristic, complemented
58D4×D292C2211yescharacteristic, complemented
59#17989222C2211yescharacteristic, complemented
60#17989211C2211yescharacteristic, complemented
61#17989193C2211yescharacteristic, complemented
62#17989188—21no—
63#17989188C2211yescharacteristic, complemented
64#17989188C2211yescharacteristic, complemented
65#17989186—21no—
66#17989177—21no—
67#17989155—21no—
68#17989155C2211yescharacteristic, complemented
69#17989155C2211yescharacteristic, complemented
70#17989148—21no—
71#17989148—21no—
72#127×D73C2211yescharacteristic, complemented
73#17989124C2211yescharacteristic
74#17989124C2211yescharacteristic, complemented
75#17989122C2211yescharacteristic, complemented
76#17989100—21no—
77C2×#14556576—21no—
78#17989066C2211yescharacteristic, complemented
79#17989059C2211yescharacteristic, complemented
80C4×D4×D73C2211yescharacteristic, complemented
81#17988977C2211yescharacteristic, complemented
82#17988976C2211yescharacteristic, complemented
83#17988976C2211yescharacteristic, complemented
84#17988974C2211yescharacteristic, complemented
85#17988969C2211yescharacteristic, complemented
86#17988964C2211yescharacteristic, complemented
87#17988953C2211yescharacteristic, complemented
88#17988953C2211yescharacteristic, complemented
89#17988935C2211yescharacteristic, complemented
90#17988916C2211yescharacteristic, complemented
91#17988913C2211yescharacteristic, complemented
92#17988910C2211yescharacteristic, complemented
93#17988904C2211yescharacteristic, complemented
94#17988902C2211yescharacteristic, complemented
95#17988902C2211yescharacteristic, complemented
96#17988893C2211yescharacteristic, complemented
97#17988890C2211yescharacteristic, complemented
98#17988889C2211yescharacteristic, complemented
99#17988886C2211yescharacteristic, complemented
100#17988884C2211yescharacteristic, complemented
101#17988884C2211yescharacteristic, complemented
102#17988874C2211yescharacteristic, complemented
103#17988841C2211yescharacteristic, complemented
104#17988839C2211yescharacteristic, complemented
105#17988839C2211yescharacteristic, complemented
106#17988834C2211yescharacteristic, complemented
107#17988827C2211yescharacteristic, complemented
108#17988824C2211yescharacteristic
109#17988824C2211yescharacteristic, complemented
110#17988824C2211yescharacteristic, complemented
111#17988822C2211yescharacteristic, complemented
112#17988819C2211yescharacteristic, complemented
113#17988817C2211yescharacteristic, complemented
114#17988815C2211yescharacteristic, complemented
115#17988812C2211yescharacteristic, complemented
116#17988809C2211yescharacteristic, complemented
117#17988806C2211yescharacteristic, complemented
118#17988805C2211yescharacteristic, complemented
119#17988805C2211yescharacteristic, complemented
120#17988804C2211yescharacteristic, complemented
121#17988803C2211yescharacteristic, complemented
122#17988803C2211yescharacteristic, complemented
123#17988802C2211yescharacteristic, complemented
124#17988799C2211yescharacteristic, complemented
125#17988788C2211yescharacteristic, complemented
126#17988786C2211yescharacteristic, complemented
127#17988786C2211yescharacteristic, complemented
128#17988783C2211yescharacteristic, complemented
129#17988783C2211yescharacteristic, complemented
130#17988783C2211yescharacteristic, complemented
131#17988782C2211yescharacteristic, complemented
132#17988782C2211yescharacteristic, complemented
133#17988782C2211yescharacteristic, complemented
134#17988782C2211yescharacteristic, complemented
135#17988781C2211yescharacteristic, complemented
136#17988781C2211yescharacteristic, complemented
137#17988781C2211yescharacteristic, complemented
138#17988781C2211yescharacteristic, complemented
139#17988780C2211yescharacteristic, complemented
140#17988780C2211yescharacteristic, complemented
141#17988779C2211yescharacteristic, complemented
142#17988752C2211yescharacteristic, complemented
143#17988739C2211yescharacteristic, complemented
144#17988739C2211yescharacteristic, complemented
145#17988739C2211yescharacteristic, complemented
146#17988736C2211yescharacteristic, complemented
147#17988735C2211yescharacteristic, complemented
148#17988735C2211yescharacteristic, complemented
149#17988735C2211yescharacteristic, complemented
150#17988733C2211yescharacteristic, complemented
151#17988729C2211yescharacteristic, complemented
152#17988722C2211yescharacteristic
153#17988722C2211yescharacteristic, complemented
154#17988722C2211yescharacteristic, complemented
155#17988722C2211yescharacteristic, complemented
156#17988722C2211yescharacteristic, complemented
157#17988722C2211yescharacteristic, complemented
158#17988722C2211yescharacteristic, complemented
159#17988719C2211yescharacteristic, complemented
160#17988718C2211yescharacteristic, complemented
161#17988700C2211yescharacteristic, complemented
162#17988700C2211yescharacteristic, complemented
163#17988697C2211yescharacteristic, complemented
164#17988697C2211yescharacteristic, complemented
165#17988687C2211yescharacteristic, complemented
166#17988685C2211yescharacteristic, complemented
167C4×#11924017C2211yescharacteristic, complemented
168C4×#11924013C2211yescharacteristic, complemented
169C4×#11924013C2211yescharacteristic, complemented
170#17988660C2211yescharacteristic, complemented
171#17988660C2211yescharacteristic, complemented
172#17988657C2211yescharacteristic, complemented
173#17988657C2211yescharacteristic, complemented
174C8×D292C2211yescharacteristic, complemented
175#17988652C2211yescharacteristic, complemented
176#17988649C2211yescharacteristic, complemented
177#17988646C2211yescharacteristic, complemented
178#17988642C2211yescharacteristic, complemented
179#17988612C2211yescharacteristic, complemented
180#17988612C2211yescharacteristic, complemented
181C4⋊C8×D73C2211yescharacteristic, complemented
182#17988590C2211yescharacteristic, complemented
183#17988587C2211yescharacteristic, complemented
184#17988582C2211yescharacteristic, complemented
185#102×D73C2211yescharacteristic, complemented
186#102×D73C2211yescharacteristic, complemented
187#102×D73C2211yescharacteristic, complemented
188#559×C73C2211yescharacteristic, complemented
189#554×C73C2211yescharacteristic, complemented
190#490×C73C2211yescharacteristic, complemented
191#489×C73C2211yescharacteristic, complemented
192#488×C73C2211yescharacteristic, complemented
193#479×C73C2211yescharacteristic, complemented
194#478×C73C2211yescharacteristic, complemented
195#474×C73C2211yescharacteristic, complemented
196#463×C73C2211yescharacteristic, complemented
197#463×C73C2211yescharacteristic, complemented
198#459×C73C2211yescharacteristic
199#446×C73C2211yescharacteristic, complemented
200#442×C73C2211yescharacteristic, complemented
201#440×C73C2211yescharacteristic, complemented
202C4×D8×C73C2211yescharacteristic, complemented
203C2×#11924029—21no—
204C2×#11924029—21no—
205C2×#11924029C2311yescharacteristic
206C2×#11924029C2311yescharacteristic
207C2×#11924027C2311yescharacteristic
208C22×D292—21no—
209C22×D292—21no—
210C22×D292—21no—
211C2×D4×D73—21no—
212C2×D4×D73—21no—
213C2×D4×D73—21no—
214C2×D4×D73C2311yescharacteristic
215C2×D4×D73C2311yescharacteristic
216C2×D4×D73C2311yescharacteristic
217C2×D4×D73C2311yescharacteristic
218C2×D4×D73C2311yescharacteristic
219C2×D4×D73C2311yescharacteristic
220C22×C4×D73—21no—
221#14556618—42no—
222#14556615—42no—
223#14556612—42no—
224C2×#11924018C2311yescharacteristic
225C2×#11924017C2311yescharacteristic
226C2×#11924017C2311yescharacteristic
227C2×#11924017C2311yescharacteristic
228C2×#11924016C2311yescharacteristic
229C2×#11924016C2311yescharacteristic
230C2×#11924015C2311yescharacteristic
231C2×#11924015C2311yescharacteristic
232C2×D584C2311yescharacteristic
233C2×D584C2311yescharacteristic
234C2×D584C2311yescharacteristic
235C2×D584C2311yescharacteristic
236C2×D584C2311yescharacteristic
237C2×D584C2311yescharacteristic
238C2×#11924013C2311yescharacteristic
239C2×#11924013C2311yescharacteristic
240C2×#11924013C2311yescharacteristic
241C2×#11924013C2311yescharacteristic
242C2×#11924013C2311yescharacteristic
243C2×#11924013C2311yescharacteristic
244C2×#11924013C2311yescharacteristic
245D8×D73—42no—
246D8×D73—42no—
247D8×D73—42no—
248C2×#11924011C2311yescharacteristic
249C2×#11924011C2311yescharacteristic
250C2×C8×D73C2311yescharacteristic
251C2×C8×D73C2311yescharacteristic
252C2×C8×D73C2311yescharacteristic
253C2×C8×D73C2311yescharacteristic
254#14556588—21no—
255#14556588C2311yescharacteristic
256#14556588C2311yescharacteristic
257#14556588C2311yescharacteristic
258#14556588C2311yescharacteristic
259#14556587—21no—
260#14556587—21no—
261#14556587C2311yescharacteristic
262#14556587C2311yescharacteristic
263#14556586—21no—
264#14556586—21no—
265#14556586—21no—
266#14556586—21no—
267#14556586—21no—
268#14556586D411yescharacteristic
269#14556586D411yescharacteristic
270#14556582—21no—
271#14556582D411yescharacteristic
272#14556582C2311yescharacteristic
273#14556580—21no—
274#14556580—21no—
275#14556580D411yescharacteristic
276#14556580C2311yescharacteristic
277#14556579C2311yescharacteristic
278#14556579C2311yescharacteristic
279#14556576—21no—
280#14556576—21no—
281#14556576—21no—
282#14556576—21no—
283#14556576—21no—
284#14556576—21no—
285#14556576—21no—
286#14556576—21no—
287#14556576—21no—
288#14556576—21no—
289#14556576—21no—
290#14556576D411yescharacteristic
291#14556576D411yescharacteristic
292#14556575—21no—
293#14556575—21no—
294#14556574—21no—
295#14556574—21no—
296#14556573—21no—
297#14556573—21no—
298#14556573—21no—
299#14556573—21no—
300#14556571C2311yescharacteristic
301#14556571C2311yescharacteristic
302#14556567—21no—
303#14556567—21no—
304#14556567D411yescharacteristic
305#14556567C2311yescharacteristic
306#14556566—21no—
307#14556566—21no—
308#14556566—21no—
309#14556566—21no—
310#14556566—21no—
311#14556566—21no—
312#14556566—21no—
313#14556566—21no—
314#14556566D411yescharacteristic
315#14556566C2311yescharacteristic
316#14556566C2311yescharacteristic
317#14556566C2311yescharacteristic
318#14556566C2311yescharacteristic
319#14556566C2311yescharacteristic
320#14556566C2311yescharacteristic
321#14556566C2311yescharacteristic
322#14556565—21no—
323#14556565—21no—
324#14556565—21no—
325#14556565—21no—
326#14556565—21no—
327#14556565—21no—
328#14556565—21no—
329#14556564—21no—
330#14556564—21no—
331#14556564—21no—
332#14556564—21no—
333#14556564—21no—
334#14556564—21no—
335#14556564—21no—
336#14556564—21no—
337#14556562—21no—
338#14556562C2311yescharacteristic
339#14556562C2311yescharacteristic
340#14556561—21no—
341#14556561—21no—
342#14556561—21no—
343#14556561—21no—
344#14556561—21no—
345#14556561—21no—
346#14556561—21no—
347#14556561—21no—
348#14556561—21no—
349#14556561—21no—
350#14556561—21no—
351#14556561—21no—
352#14556561—21no—
353#14556561—21no—
354#14556559—21no—
355#14556559—21no—
356C4×Dic146C2311yescharacteristic
357#14556556C2311yescharacteristic
358C4×D292—21no—
359C4×D292—21no—
360C4×D292C2311yescharacteristic
361C4×D292C2311yescharacteristic
362C4×D292C2311yescharacteristic
363C4×D292C2311yescharacteristic
364C4×D292C2311yescharacteristic
365C4×D292C2311yescharacteristic
366C4×D292C2311yescharacteristic
367C4×D292C2311yescharacteristic
368D4×Dic73C2311yescharacteristic
369#14556553—21no—
370#14556553—21no—
371#14556553—21no—
372#14556553C2311yescharacteristic
373#14556553C2311yescharacteristic
374C4×C22⋊D73—21no—
375C4×C22⋊D73—21no—
376C4×C22⋊D73—21no—
377#14556551—21no—
378#14556551—21no—
379#14556551—21no—
380#14556549—21no—
381#14556549—21no—
382#14556549C2311yescharacteristic
383#14556548—21no—
384#14556548C2311yescharacteristic
385#14556548C2311yescharacteristic
386#14556547—21no—
387C2×#11924007—21no—
388C4⋊C4×D73C2311yescharacteristic
389C4⋊C4×D73C2311yescharacteristic
390C2×#11924005—21no—
391C2×#11924005—21no—
392C2×#11924005—21no—
393C22⋊C4×D73—21no—
394C22⋊C4×D73—21no—
395C22⋊C4×D73—21no—
396C22⋊C4×D73—21no—
397C42×D73C2311yescharacteristic
398#14556524C2311yescharacteristic
399#14556524C2311yescharacteristic
400#14556523C2311yescharacteristic
401#14556522C2311yescharacteristic
402#14556522C2311yescharacteristic
403C4⋊#10596831C2311yescharacteristic
404C4⋊#10596831C2311yescharacteristic
405C4⋊#10596831C2311yescharacteristic
406#14556520C2311yescharacteristic
407#14556520C2311yescharacteristic
408#14556520C2311yescharacteristic
409#14556520C2311yescharacteristic
410#14556516C2311yescharacteristic
411#14556515C2311yescharacteristic
412#14556514C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556511C2311yescharacteristic
422#14556511C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556511C2311yescharacteristic
426#14556511C2311yescharacteristic
427#14556511C2311yescharacteristic
428#14556511C2311yescharacteristic
429#14556511C2311yescharacteristic
430#14556511C2311yescharacteristic
431#14556511C2311yescharacteristic
432#14556503C2311yescharacteristic
433#14556503C2311yescharacteristic
434#14556503C2311yescharacteristic
435#14556503C2311yescharacteristic
436#14556503C2311yescharacteristic
437#14556503C2311yescharacteristic
438#14556502C2311yescharacteristic
439#14556502C2311yescharacteristic
440C4×#10596831C2311yescharacteristic
441C2×SD16×C73C2311yescharacteristic
442C2×D8×C73C2311yescharacteristic
443C2×D8×C73C2311yescharacteristic
444C4⋊Q8×C73C2311yescharacteristic
445#127×C73C2311yescharacteristic
446#125×C73C2311yescharacteristic
447#125×C73C2311yescharacteristic
448#124×C73—21no—
449#124×C73C2311yescharacteristic
450#124×C73C2311yescharacteristic
451#123×C73—21no—
452#123×C73—21no—
453C22⋊Q8×C73—21no—
454C22⋊Q8×C73—21no—
455C22⋊Q8×C73—21no—
456C4×Q8×C73C2311yescharacteristic
457C4×Q8×C73C2311yescharacteristic
458C4×D4×C73—21no—
459C4×D4×C73C2311yescharacteristic
460C4×D4×C73C2311yescharacteristic
461C4×D4×C73C2311yescharacteristic
462C4×D4×C73C2311yescharacteristic
463C4×D4×C73C2311yescharacteristic
464C2×C4⋊C4×C73—21no—
465#107×C73C2311yescharacteristic
466#107×C73C2311yescharacteristic
467#106×C73C2311yescharacteristic
468C4⋊C8×C73C2311yescharacteristic
469C4⋊C8×C73C2311yescharacteristic
470C4⋊C8×C73C2311yescharacteristic
471#103×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#103×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478#102×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481#97×C73C2311yescharacteristic
482#97×C73C2311yescharacteristic
483C4×C8×C73C2311yescharacteristic
484C23×D73—21no—
485C23×D73—21no—
486C23×D73—21no—
487C23×D73—21no—
488C23×D73—21no—
489C23×D73—21no—
490#11924029—41no—
491#11924029—41no—
492#11924029—41no—
493#11924029—41no—
494#11924029—82no—
495#11924029—82no—
496#11924027—22no—
497#11924027—41no—
498C2×Dic146C2411yescharacteristic
499C2×D292—21no—
500C2×D292—21no—
501C2×D292—21no—
502C2×D292—21no—
503C2×D292—21no—
504C2×D292—21no—
505C2×D292—21no—
506C2×D292—21no—
507C2×D292—21no—
508C2×D292—21no—
509C2×D292—21no—
510C2×D292—21no—
511C2×D292—21no—
512C2×D292—21no—
513C2×D292—21no—
514C2×D292—21no—
515C2×D292—21no—
516C2×D292—82no—
517C2×D292—82no—
518C2×D292—82no—
519C2×D292C2×D411yescharacteristic
520C2×D292C2×D411yescharacteristic
521C2×D292C2×D411yescharacteristic
522C2×D292C2411yescharacteristic
523C2×D292C2411yescharacteristic
524C2×D292C2411yescharacteristic
525C2×D292C2411yescharacteristic
526C2×D292C2411yescharacteristic
527C2×C22⋊D73—21no—
528C2×C22⋊D73—21no—
529C2×C22⋊D73—21no—
530C2×C22⋊D73—21no—
531C2×C22⋊D73—21no—
532C2×C22⋊D73—21no—
533C2×C22⋊D73—21no—
534C2×C22⋊D73—21no—
535C2×C22⋊D73—21no—
536C2×C22⋊D73—21no—
537C2×C22⋊D73—21no—
538C2×C22⋊D73—21no—
539C2×C22⋊D73—21no—
540D4×D73—22no—
541D4×D73—22no—
542D4×D73—41no—
543D4×D73—41no—
544D4×D73—41no—
545D4×D73—41no—
546D4×D73—41no—
547D4×D73—41no—
548D4×D73—41no—
549D4×D73—41no—
550D4×D73—41no—
551D4×D73—41no—
552D4×D73—82no—
553D4×D73—82no—
554D4×D73—82no—
555C22×Dic73—21no—
556C22×Dic73—21no—
557C2×C4×D73—21no—
558C2×C4×D73—21no—
559C2×C4×D73—21no—
560C2×C4×D73—21no—
561C2×C4×D73—21no—
562C2×C4×D73—21no—
563C2×C4×D73—21no—
564C2×C4×D73—21no—
565C2×C4×D73—21no—
566C2×C4×D73—21no—
567C2×C4×D73—21no—
568C2×C4×D73—82no—
569C2×C4×D73C2×D411yescharacteristic
570C2×C4×D73C2×D411yescharacteristic
571C2×C4×D73C2411yescharacteristic
572C2×C4×D73C2411yescharacteristic
573C2×C4×D73C2411yescharacteristic
574#11924018—41no—
575#11924017—41no—
576#11924017—41no—
577#11924017—41no—
578#11924016—41no—
579#11924016—41no—
580#11924015—41no—
581#11924015—41no—
582D584—41no—
583D584—41no—
584D584—41no—
585D584—41no—
586D584—41no—
587D584—41no—
588#11924013—22no—
589#11924013—22no—
590#11924013—22no—
591#11924013—41no—
592#11924013—41no—
593#11924013—41no—
594#11924013—41no—
595#11924011—41no—
596#11924011—41no—
597C2×#10596831C2411yescharacteristic
598C2×#10596831C2411yescharacteristic
599C2×#10596831C2411yescharacteristic
600C2×#10596831C2411yescharacteristic
601C8×D73—41no—
602C8×D73—41no—
603C8×D73—41no—
604C8×D73—41no—
605C4⋊Dic73—21no—
606C4⋊Dic73—21no—
607C4⋊Dic73—21no—
608C4⋊Dic73C2×D411yescharacteristic
609C4⋊Dic73C2×D411yescharacteristic
610C4⋊Dic73C2×D411yescharacteristic
611C4⋊Dic73C2411yescharacteristic
612C4⋊Dic73C2411yescharacteristic
613#11924007—21no—
614#11924007—21no—
615#11924007—21no—
616#11924007—21no—
617#11924007—21no—
618#11924007—21no—
619#11924007C2×D411yescharacteristic
620#11924007C2×D411yescharacteristic
621#11924007C2×D411yescharacteristic
622#11924007C2×D411yescharacteristic
623C22⋊Dic73—21no—
624C22⋊Dic73—21no—
625C22⋊Dic73—21no—
626#11924005—21no—
627#11924005—21no—
628#11924005—21no—
629#11924005—21no—
630#11924005—21no—
631#11924005—21no—
632#11924005—21no—
633#11924005—21no—
634#11924005—21no—
635#11924005—21no—
636#11924005—21no—
637#11924005—21no—
638#11924005—21no—
639#11924005—21no—
640#11924005—21no—
641#11924005—21no—
642#11924005—21no—
643#11924005—21no—
644#11924005—21no—
645#11924005—21no—
646#11924005—21no—
647#11924005—21no—
648#11924005—21no—
649#11924005—21no—
650#11924005C2×D411yescharacteristic
651#11924005C2×D411yescharacteristic
652#11924005C2×D411yescharacteristic
653#11924005C2×D411yescharacteristic
654#11924005C2×D411yescharacteristic
655#11924005C2×D411yescharacteristic
656#11924005C2×D411yescharacteristic
657#11924005C2×D411yescharacteristic
658#11924005C2×D411yescharacteristic
659#11924005C2×D411yescharacteristic
660C4×Dic73—21no—
661C4×Dic73—21no—
662C4×Dic73—21no—
663C4×Dic73C2×D411yescharacteristic
664C4×Dic73C2×D411yescharacteristic
665C4×Dic73C2411yescharacteristic
666C2×Q8×C73—21no—
667C2×Q8×C73C2×D411yescharacteristic
668C2×Q8×C73C2411yescharacteristic
669C2×D4×C73—21no—
670C2×D4×C73—21no—
671C2×D4×C73C2411yescharacteristic
672C2×D4×C73C2411yescharacteristic
673C2×D4×C73C2411yescharacteristic
674C22×C4×C73—21no—
675C22×C4×C73—21no—
676C22×C4×C73—21no—
677C22×C4×C73—21no—
678C22×C4×C73—21no—
679SD16×C73—22no—
680D8×C73—22no—
681D8×C73—22no—
682C2×C8×C73C2411yescharacteristic
683C2×C8×C73C2411yescharacteristic
684C2×C8×C73C2411yescharacteristic
685C2×C8×C73C2411yescharacteristic
686C4⋊C4×C73—21no—
687C4⋊C4×C73—21no—
688C4⋊C4×C73—21no—
689C4⋊C4×C73—21no—
690C4⋊C4×C73—21no—
691C4⋊C4×C73—21no—
692C4⋊C4×C73C2×D411yescharacteristic
693C4⋊C4×C73C2×D411yescharacteristic
694C4⋊C4×C73C2×D411yescharacteristic
695C4⋊C4×C73C2411yescharacteristic
696C4⋊C4×C73C2411yescharacteristic
697C4⋊C4×C73C2411yescharacteristic
698C4⋊C4×C73C2411yescharacteristic
699C22⋊C4×C73—21no—
700C22⋊C4×C73—21no—
701C22⋊C4×C73—21no—
702C22⋊C4×C73—21no—
703C22⋊C4×C73—21no—
704C22⋊C4×C73—21no—
705C22⋊C4×C73—21no—
706C22⋊C4×C73—21no—
707C22⋊C4×C73—21no—
708C42×C73—21no—
709C42×C73C2411yescharacteristic
710C42×C73C2411yescharacteristic
711C42×C73C2411yescharacteristic
712C23×C73—21no—
713C23×C73—21no—
714C23×C73—21no—
715C22×D73—21no—
716C22×D73—21no—
717C22×D73—21no—
718C22×D73—21no—
719C22×D73—21no—
720C22×D73—42no—
721C22×D73—42no—
722C22×D73—42no—
723C22×D73—42no—
724C22×D73—42no—
725C22×D73—81no—
726C22×D73—81no—
727C22×D73—81no—
728C22×D73—81no—
729C22×D73—81no—
730C22×D73—81no—
731C22×D73—81no—
732C22×D73—81no—
733C22×D73—81no—
734C22×D73—81no—
735C22×D73—81no—
736C22×D73—81no—
737C22×D73—81no—
738C22×D73C22×D411yescharacteristic
739C22×D73C22×D411yescharacteristic
740C22×D73C22×D411yescharacteristic
741Q8×C73—21no—
742Q8×C73—21no—
743Q8×C73—41no—
744Q8×C73—81no—
745D4×C73—21no—
746D4×C73—21no—
747D4×C73—21no—
748D4×C73—21no—
749D4×C73—21no—
750D4×C73—42no—
751D4×C73—81no—
752D4×C73H(5,𝔽2)12yes—
753C2×C4×C73—21no—
754C2×C4×C73—21no—
755C2×C4×C73—21no—
756C2×C4×C73—21no—
757C2×C4×C73—21no—
758C2×C4×C73—81no—
759C2×C4×C73—81no—
760C2×C4×C73—81no—
761C2×C4×C73—81no—
762C2×C4×C73—81no—
763C2×C4×C73C22×D411yescharacteristic
764C2×C4×C73C22×D411yescharacteristic
765C2×C4×C73C22×D411yescharacteristic
766C2×C4×C73C22×D411yescharacteristic
767C2×C4×C73C22×D411yescharacteristic
768C2×C4×C73C22×D411yescharacteristic
769C2×C4×C73C2511yescharacteristic
770C22⋊D73—42no—
771C22⋊D73—42no—
772C22⋊D73—42no—
773C22⋊D73—81no—
774C22⋊D73—81no—
775C22⋊D73—81no—
776C22⋊D73—81no—
777C22⋊D73—81no—
778C22⋊D73—81no—
779C22⋊D73—81no—
780C22⋊D73—81no—
781C22⋊D73—81no—
782C22⋊D73—81no—
783C2×Dic73—21no—
784C2×Dic73—21no—
785C2×Dic73—21no—
786C2×Dic73—42no—
787C2×Dic73—81no—
788C2×Dic73C22×D411yescharacteristic
789C2×Dic73C22×D411yescharacteristic
790C2×Dic73C22×D411yescharacteristic
791C2×Dic73C22×D411yescharacteristic
792C2×Dic73C22×D411yescharacteristic
793D292—22no—
794D292—22no—
795D292—21no—
796D292—21no—
797D292—21no—
798D292—21no—
799D292—21no—
800D292—21no—
801D292—21no—
802D292—21no—
803D292—21no—
804D292—21no—
805D292—41no—
806D292—42no—
807D292—42no—
808D292—42no—
809D292—81no—
810D292—81no—
811D292—81no—
812D292—81no—
813D292—81no—
814D292—81no—
815D292—81no—
816D292—81no—
817D292—81no—
818D292—81no—
819D292—81no—
820D292—81no—
821D292—81no—
822D292—81no—
823C4×D73—22no—
824C4×D73—21no—
825C4×D73—21no—
826C4×D73—21no—
827C4×D73—21no—
828C4×D73—21no—
829C4×D73—21no—
830C4×D73—41no—
831C4×D73—42no—
832C4×D73—42no—
833C4×D73—81no—
834C4×D73—81no—
835C4×D73—81no—
836C4×D73—81no—
837C4×D73—81no—
838C4×D73—81no—
839C4×D73—81no—
840C4×D73—81no—
841C4×D73—81no—
842Dic146—21no—
843Dic146—21no—
844C8×C73—21no—
845C8×C73—21no—
846C8×C73—21no—
847C8×C73—21no—
848#10596831—21no—
849#10596831—21no—
850#10596831—21no—
851#10596831—21no—
852C22×C73—22no—
853C22×C73—41no—
854C22×C73—41no—
855C22×C73—41no—
856C22×C73—41no—
857C22×C73—41no—
858C22×C73—41no—
859C22×C73—41no—
860C22×C73—41no—
861C22×C73C23×D411yescharacteristic
862C2×D73—21no—
863C2×D73—21no—
864C2×D73—21no—
865C2×D73—21no—
866C2×D73—21no—
867C2×D73—21no—
868C2×D73—21no—
869C2×D73—21no—
870C2×D73—41no—
871C2×D73—41no—
872C2×D73—41no—
873C2×D73—41no—
874C2×D73—41no—
875C2×D73—41no—
876C2×D73—41no—
877C2×D73—41no—
878C2×D73—41no—
879C2×D73—41no—
880C2×D73—41no—
881C2×D73—41no—
882C2×D73—41no—
883C2×D73—41no—
884C2×D73—41no—
885C2×D73—84no—
886C2×D73—162no—
887C2×D73—162no—
888C2×D73—162no—
889C2×D73—162no—
890C2×D73—162no—
891C2×D73#57612yes—
892C4×C73—21no—
893C4×C73—21no—
894C4×C73—21no—
895C4×C73—21no—
896C4×C73—21no—
897C4×C73—21no—
898C4×C73—41no—
899C4×C73—41no—
900C4×C73—41no—
901C4×C73—41no—
902C4×C73—41no—
903C4×C73C2×H(5,𝔽2)11yescharacteristic
904C4×C73#58511yescharacteristic
905Dic73—21no—
906Dic73—21no—
907Dic73—21no—
908Dic73—21no—
909Dic73—21no—
910Dic73—41no—
911Dic73—41no—
912Dic73—41no—
913#62007—731nomaximal, Sylow
914C2×C73—42no—
915C2×C73—81no—
916C2×C73—81no—
917C2×C73#348811yescharacteristic
918C2×C73C2×#57611yescharacteristic
919C2×C73#358511yescharacteristic
920D73—22no—
921D73—41no—
922D73—41no—
923D73—81no—
924D73—81no—
925D73—81no—
926D73—81no—
927D73—81no—
928#3543—731no—
929#3513—731no—
930#3403—731no—
931#3399—731no—
932#3370D7311yescharacteristic, complemented
933#3366—731no—
934#3318—731no—
935#3310—731no—
936#3309—731no—
937#3306—731no—
938#3296—731no—
939#3294—731no—
940#3280—731no—
941D4×D8—731no—
942#3268—731no—
943#3264—731no—
944#3264—731no—
945#3264—731no—
946#3259—731no—
947#3257—731no—
948#3250—731no—
949#3224—731no—
950#3220—731no—
951#3217—731no—
952#3122—731no—
953#3119—731no—
954#3114—731no—
955#3045—731no—
956#3041—731no—
957C2×#459—731no—
958#2992—731no—
959C73#6200711yescharacteristic, complemented, Sylow
960C2×AGL(1,ℤ/8)—731no—
961C2×AGL(1,ℤ/8)—731no—
962C2×#135—731no—
963C22×D8—731no—
964C22×D8—731no—
965C22×D8—731no—
966#560—1461no—
967#560—1461no—
968#559—731no—
969#559C2×D7311yescharacteristic, complemented
970#554C2×D7311yescharacteristic, complemented
971#553—731no—
972#553—1461no—
973#552—731no—
974#551—1461no—
975#551—1461no—
976#550—731no—
977#550—731no—
978#547—731no—
979#546—731no—
980#546—731no—
981#546—731no—
982#546—731no—
983#546—1461no—
984#546—1461no—
985D42—731no—
986D42—731no—
987D42—731no—
988D42—731no—
989D42—1461no—
990#542—731no—
991#540—731no—
992#540—731no—
993#540—731no—
994#540—1461no—
995#539—1461no—
996#538—1461no—
997#535—731no—
998#535—731no—
999#535—1461no—
1000#534—1461no—
1001#534—1461no—
1002C2×#127—731no—
1003#529—731no—
1004#529—731no—
1005#529—731no—
1006#525—1461no—
1007C2×#123—1461no—
1008#520—731no—
1009#518—731no—
1010C2×C4×D4—731no—
1011#496—731no—
1012#496—731no—
1013#496—731no—
1014#496—731no—
1015#495—731no—
1016#493—731no—
1017#490—731no—
1018#490—731no—
1019#490C2×D7311yescharacteristic, complemented
1020#489C2×D7311yescharacteristic, complemented
1021#488C2×D7311yescharacteristic, complemented
1022#486—731no—
1023#483—731no—
1024#482—731no—
1025#482—731no—
1026#481—731no—
1027#480—731no—
1028#480—731no—
1029#479—731no—
1030#479C2×D7311yescharacteristic, complemented
1031#478—731no—
1032#478—731no—
1033#478—731no—
1034#478—731no—
1035#478—731no—
1036#478C2×D7311yescharacteristic, complemented
1037#476—731no—
1038#474C2×D7311yescharacteristic, complemented
1039#469—731no—
1040#469—731no—
1041#469—731no—
1042#468—731no—
1043#467—731no—
1044#466—731no—
1045#466—731no—
1046#466—731no—
1047#466—731no—
1048#465—731no—
1049#465—731no—
1050#465—731no—
1051#464—731no—
1052#464—731no—
1053#464—731no—
1054#463—731no—
1055#463—731no—
1056#463—731no—
1057#463—731no—
1058#463—731no—
1059#463—731no—
1060#463—731no—
1061#463C2×D7311yescharacteristic, complemented
1062#463C2×D7311yescharacteristic, complemented
1063#460—731no—
1064#460—731no—
1065#460—731no—
1066#459—731no—
1067#459—731no—
1068#459—731no—
1069#459—731no—
1070#459—731no—
1071#459—731no—
1072#459—731no—
1073#459—731no—
1074#459—731no—
1075#459—731no—
1076#459—731no—
1077#459—731no—
1078#459—731no—
1079#459—731no—
1080#459C2×D7311yescharacteristic
1081#452—731no—
1082#450—731no—
1083#450—731no—
1084#450—731no—
1085#450—731no—
1086#449—731no—
1087#449—731no—
1088#449—731no—
1089#449—731no—
1090#449—731no—
1091#447—731no—
1092#447—731no—
1093#447—731no—
1094#447—731no—
1095#447—731no—
1096#447—731no—
1097#447—731no—
1098#447—731no—
1099#446—731no—
1100#446C2×D7311yescharacteristic, complemented
1101#442—731no—
1102#442—731no—
1103#442—731no—
1104#442—731no—
1105#442C2×D7311yescharacteristic, complemented
1106#440—731no—
1107#440—731no—
1108#440C2×D7311yescharacteristic, complemented
1109C4×SD16—731no—
1110C4×D8—731no—
1111C4×D8—731no—
1112C4×D8C2×D7311yescharacteristic, complemented
1113#435—731no—
1114#435—731no—
1115#435—731no—
1116#435—731no—
1117C8×D4—731no—
1118C8×D4—731no—
1119#433—731no—
1120#433—731no—
1121#432—731no—
1122#424—731no—
1123#424—731no—
1124C2×C4⋊C8—731no—
1125#418—731no—
1126#417—731no—
1127#416—731no—
1128C2×#102—731no—
1129C2×#102—731no—
1130C2×#102—731no—
1131C2×#41—731no—
1132C2×#41—731no—
1133C2×#41—731no—
1134C2×#41—1461no—
1135C2×#41—1461no—
1136C22×D4—731no—
1137C22×D4—731no—
1138C22×D4—731no—
1139C22×D4—731no—
1140C22×D4—731no—
1141C22×D4—731no—
1142C22×D4—1461no—
1143C22×D4—1461no—
1144C22×D4—1461no—
1145C22×D4—1461no—
1146C22×D4—1461no—
1147C22×D4—1461no—
1148C23×C4—1461no—
1149AGL(1,ℤ/8)—2922no—
1150AGL(1,ℤ/8)—2922no—
1151#135—2922no—
1152C2×Q16—731no—
1153C2×SD16—731no—
1154C2×SD16—731no—
1155C2×SD16—731no—
1156C2×SD16—731no—
1157C2×SD16—731no—
1158C2×SD16—731no—
1159C2×SD16—731no—
1160C2×SD16C22×D7311yescharacteristic
1161C2×D8—2922no—
1162C2×D8—2922no—
1163C2×D8—2922no—
1164C2×D8—731no—
1165C2×D8—731no—
1166C2×D8—731no—
1167C2×D8—731no—
1168C2×D8—731no—
1169C2×D8—731no—
1170C2×D8—731no—
1171C2×D8—731no—
1172C2×D8—731no—
1173C2×D8—731no—
1174C2×D8—731no—
1175C2×D8—731no—
1176C2×D8—731no—
1177C2×D8C22×D7311yescharacteristic
1178C2×D8C22×D7311yescharacteristic
1179C2×M16—731no—
1180C2×M16—731no—
1181C22×C8—731no—
1182C22×C8—731no—
1183C22×C8—731no—
1184C22×C8—731no—
1185C4⋊Q8C22×D7311yescharacteristic
1186#127—731no—
1187#127—731no—
1188#127—731no—
1189#127—731no—
1190#127—731no—
1191#127—731no—
1192#127—1461no—
1193#127—1461no—
1194#127—1461no—
1195#127C22×D7311yescharacteristic
1196#126—731no—
1197#126—731no—
1198#126—1461no—
1199#126—1461no—
1200#126—1461no—
1201#126—1461no—
1202#126—1461no—
1203#125—731no—
1204#125—731no—
1205#125—1461no—
1206#125C22×D7311yescharacteristic
1207#125C22×D7311yescharacteristic
1208#124—21no—
1209#124—731no—
1210#124—731no—
1211#124—731no—
1212#124—731no—
1213#124—1461no—
1214#124—1461no—
1215#124C22×D7311yescharacteristic
1216#124C22×D7311yescharacteristic
1217#123—21no—
1218#123—21no—
1219#123—731no—
1220#123—731no—
1221#123—1461no—
1222#123—1461no—
1223#123—1461no—
1224#123—1461no—
1225#123—1461no—
1226#123—1461no—
1227#123—1461no—
1228#123—1461no—
1229#123—1461no—
1230#123—1461no—
1231#123—1461no—
1232#123—1461no—
1233#123—1461no—
1234#123—1461no—
1235#123—1461no—
1236#123—1461no—
1237#123—1461no—
1238#123—1461no—
1239#123—1461no—
1240C22⋊Q8—21no—
1241C22⋊Q8—21no—
1242C22⋊Q8—21no—
1243C22⋊Q8—731no—
1244C22⋊Q8—731no—
1245C22⋊Q8—731no—
1246C22⋊Q8—731no—
1247C22⋊Q8—1461no—
1248C22⋊Q8—1461no—
1249#121—731no—
1250#121—731no—
1251#121—731no—
1252#121—731no—
1253#121—731no—
1254#121—731no—
1255#121—731no—
1256#121—731no—
1257#121—731no—
1258#121—731no—
1259#121—1461no—
1260#121—1461no—
1261#121—1461no—
1262#121—1461no—
1263#121—1461no—
1264#121—1461no—
1265#121—1461no—
1266#121—1461no—
1267#121—1461no—
1268#121—1461no—
1269#121—1461no—
1270#121—1461no—
1271#121—1461no—
1272#121—1461no—
1273#121—1461no—
1274#121—1461no—
1275#121—1461no—
1276#121—1461no—
1277#121—1461no—
1278#121—1461no—
1279#121—1461no—
1280#121—1461no—
1281#121—1461no—
1282#121—1461no—
1283#120—1461no—
1284#120—1461no—
1285#120—1461no—
1286#120—1461no—
1287#120—1461no—
1288#120—1461no—
1289#120—1461no—
1290#120—1461no—
1291#120—1461no—
1292#120—1461no—
1293#120—1461no—
1294#120—1461no—
1295#120—1461no—
1296#120—1461no—
1297#120—1461no—
1298#120—1461no—
1299C4×Q8—731no—
1300C4×Q8—731no—
1301C4×Q8C22×D7311yescharacteristic
1302C4×Q8C22×D7311yescharacteristic
1303C4×D4—21no—
1304C4×D4—731no—
1305C4×D4—731no—
1306C4×D4—731no—
1307C4×D4—731no—
1308C4×D4—731no—
1309C4×D4—731no—
1310C4×D4—731no—
1311C4×D4—731no—
1312C4×D4—731no—
1313C4×D4—731no—
1314C4×D4—731no—
1315C4×D4—1461no—
1316C4×D4—1461no—
1317C4×D4—1461no—
1318C4×D4—1461no—
1319C4×D4—1461no—
1320C4×D4—1461no—
1321C4×D4—1461no—
1322C4×D4—1461no—
1323C4×D4—1461no—
1324C4×D4—1461no—
1325C4×D4—1461no—
1326C4×D4C22×D7311yescharacteristic
1327C4×D4C22×D7311yescharacteristic
1328C4×D4C22×D7311yescharacteristic
1329C4×D4C22×D7311yescharacteristic
1330C4×D4C22×D7311yescharacteristic
1331#117—731no—
1332#117—731no—
1333#117—731no—
1334#117—1461no—
1335#117—1461no—
1336#117—1461no—
1337#117—1461no—
1338C2×C4⋊C4—21no—
1339C2×C4⋊C4—731no—
1340C2×C4⋊C4—731no—
1341C2×C4⋊C4—1461no—
1342C2×C22⋊C4—1461no—
1343C2×C22⋊C4—1461no—
1344C2×C22⋊C4—1461no—
1345C2×C22⋊C4—1461no—
1346C2×C22⋊C4—1461no—
1347C2×C22⋊C4—1461no—
1348C2×C22⋊C4—1461no—
1349C2×C42—731no—
1350#107—731no—
1351#107—731no—
1352#107C22×D7311yescharacteristic
1353#107C22×D7311yescharacteristic
1354#106—731no—
1355#106—731no—
1356#106—731no—
1357#106C22×D7311yescharacteristic
1358C4⋊C8—731no—
1359C4⋊C8—731no—
1360C4⋊C8—731no—
1361C4⋊C8—731no—
1362C4⋊C8—731no—
1363C4⋊C8—731no—
1364C4⋊C8—731no—
1365C4⋊C8C22×D7311yescharacteristic
1366C4⋊C8C22×D7311yescharacteristic
1367C4⋊C8C22×D7311yescharacteristic
1368#103—731no—
1369#103—731no—
1370#103—731no—
1371#103C22×D7311yescharacteristic
1372#103C22×D7311yescharacteristic
1373#103C22×D7311yescharacteristic
1374#102—731no—
1375#102—731no—
1376#102—731no—
1377#102—731no—
1378#102—731no—
1379#102—731no—
1380#102—731no—
1381#102—731no—
1382#102—731no—
1383#102—731no—
1384#102—731no—
1385#102—731no—
1386#102—731no—
1387#102—731no—
1388#102—731no—
1389#102—731no—
1390#102—731no—
1391#102—731no—
1392#102—731no—
1393#102C22×D7311yescharacteristic
1394#102C22×D7311yescharacteristic
1395#102C22×D7311yescharacteristic
1396#102C22×D7311yescharacteristic
1397#102C22×D7311yescharacteristic
1398#102C22×D7311yescharacteristic
1399#102C22×D7311yescharacteristic
1400C22⋊C8—731no—
1401C22⋊C8—731no—
1402C22⋊C8—731no—
1403C22⋊C8—731no—
1404C22⋊C8—731no—
1405C22⋊C8—731no—
1406#97—731no—
1407#97—731no—
1408#97C22×D7311yescharacteristic
1409#97C22×D7311yescharacteristic
1410C4×C8—731no—
1411C4×C8C22×D7311yescharacteristic
1412C24—1461no—
1413C24—1461no—
1414C24—1461no—
1415C24—1461no—
1416C24—1461no—
1417C24—1461no—
1418#41—2921no—
1419#41—2921no—
1420#41—2921no—
1421#41—2921no—
1422#41—2921no—
1423#41—5842no—
1424#41—5842no—
1425#41—1462no—
1426C2×Q8—21no—
1427C2×Q8—731no—
1428C2×Q8D4×D7311yescharacteristic
1429C2×Q8C23×D7311yescharacteristic
1430C2×D4—21no—
1431C2×D4—21no—
1432C2×D4—2921no—
1433C2×D4—2921no—
1434C2×D4—2921no—
1435C2×D4—2921no—
1436C2×D4—2921no—
1437C2×D4—2921no—
1438C2×D4—2921no—
1439C2×D4—2921no—
1440C2×D4—2921no—
1441C2×D4—2921no—
1442C2×D4—5842no—
1443C2×D4—5842no—
1444C2×D4—5842no—
1445C2×D4—5842no—
1446C2×D4—5842no—
1447C2×D4—5842no—
1448C2×D4—731no—
1449C2×D4—731no—
1450C2×D4—731no—
1451C2×D4—731no—
1452C2×D4—731no—
1453C2×D4—731no—
1454C2×D4—731no—
1455C2×D4—731no—
1456C2×D4—1461no—
1457C2×D4—1461no—
1458C2×D4—1461no—
1459C2×D4—1461no—
1460C2×D4—1461no—
1461C2×D4—1461no—
1462C2×D4—1461no—
1463C2×D4—1461no—
1464C2×D4—1461no—
1465C2×D4—1461no—
1466C2×D4—1461no—
1467C2×D4—1461no—
1468C2×D4—1461no—
1469C2×D4—1461no—
1470C2×D4—1461no—
1471C2×D4—1461no—
1472C2×D4—1461no—
1473C2×D4—1461no—
1474C2×D4—1461no—
1475C2×D4—1461no—
1476C2×D4—1462no—
1477C2×D4—1462no—
1478C2×D4—1461no—
1479C2×D4—1461no—
1480C2×D4—1461no—
1481C2×D4—1461no—
1482C2×D4—1461no—
1483C2×D4—1461no—
1484C2×D4—1461no—
1485C2×D4—1461no—
1486C2×D4—1461no—
1487C2×D4—1461no—
1488C2×D4C23×D7311yescharacteristic
1489C2×D4C23×D7311yescharacteristic
1490C2×D4C23×D7311yescharacteristic
1491C22×C4—21no—
1492C22×C4—21no—
1493C22×C4—21no—
1494C22×C4—21no—
1495C22×C4—21no—
1496C22×C4—5842no—
1497C22×C4—731no—
1498C22×C4—731no—
1499C22×C4—731no—
1500C22×C4—731no—
1501C22×C4—731no—
1502C22×C4—1461no—
1503C22×C4—1461no—
1504C22×C4—1461no—
1505C22×C4—1461no—
1506C22×C4—1461no—
1507C22×C4—1461no—
1508C22×C4—1461no—
1509C22×C4—1461no—
1510C22×C4—1461no—
1511C22×C4—1461no—
1512C22×C4—1461no—
1513C22×C4—1461no—
1514C22×C4—1461no—
1515Q16—2921no—
1516SD16—22no—
1517SD16—2921no—
1518SD16—2921no—
1519SD16—2921no—
1520SD16—2921no—
1521SD16—2921no—
1522SD16—2921no—
1523SD16—2921no—
1524D8—22no—
1525D8—22no—
1526D8—2921no—
1527D8—2921no—
1528D8—2921no—
1529D8—2921no—
1530D8—2921no—
1531D8—2921no—
1532D8—2921no—
1533D8—2921no—
1534D8—2921no—
1535D8—2921no—
1536D8—1462no—
1537D8—1462no—
1538D8—1462no—
1539M16—2921no—
1540M16—2921no—
1541C2×C8—2921no—
1542C2×C8—2921no—
1543C2×C8—2921no—
1544C2×C8—2921no—
1545C2×C8—731no—
1546C2×C8—731no—
1547C2×C8—731no—
1548C2×C8—731no—
1549C2×C8C23×D7311yescharacteristic
1550C2×C8C23×D7311yescharacteristic
1551C2×C8C23×D7311yescharacteristic
1552C2×C8C23×D7311yescharacteristic
1553C4⋊C4—21no—
1554C4⋊C4—21no—
1555C4⋊C4—21no—
1556C4⋊C4—21no—
1557C4⋊C4—21no—
1558C4⋊C4—21no—
1559C4⋊C4—731no—
1560C4⋊C4—731no—
1561C4⋊C4—731no—
1562C4⋊C4—731no—
1563C4⋊C4—731no—
1564C4⋊C4—731no—
1565C4⋊C4—731no—
1566C4⋊C4—731no—
1567C4⋊C4—731no—
1568C4⋊C4—1461no—
1569C4⋊C4—1461no—
1570C4⋊C4—1461no—
1571C4⋊C4—1461no—
1572C4⋊C4—1461no—
1573C4⋊C4—1461no—
1574C4⋊C4—1461no—
1575C4⋊C4—1461no—
1576C4⋊C4—1461no—
1577C4⋊C4D4×D7311yescharacteristic
1578C4⋊C4D4×D7311yescharacteristic
1579C4⋊C4D4×D7311yescharacteristic
1580C4⋊C4C23×D7311yescharacteristic
1581C4⋊C4C23×D7311yescharacteristic
1582C4⋊C4C23×D7311yescharacteristic
1583C4⋊C4C23×D7311yescharacteristic
1584C22⋊C4—21no—
1585C22⋊C4—21no—
1586C22⋊C4—21no—
1587C22⋊C4—21no—
1588C22⋊C4—21no—
1589C22⋊C4—21no—
1590C22⋊C4—21no—
1591C22⋊C4—21no—
1592C22⋊C4—21no—
1593C22⋊C4—731no—
1594C22⋊C4—731no—
1595C22⋊C4—731no—
1596C22⋊C4—731no—
1597C22⋊C4—731no—
1598C22⋊C4—731no—
1599C22⋊C4—731no—
1600C22⋊C4—731no—
1601C22⋊C4—731no—
1602C22⋊C4—731no—
1603C22⋊C4—1461no—
1604C22⋊C4—1461no—
1605C22⋊C4—1461no—
1606C22⋊C4—1461no—
1607C22⋊C4—1461no—
1608C22⋊C4—1461no—
1609C22⋊C4—1461no—
1610C22⋊C4—1461no—
1611C22⋊C4—1461no—
1612C22⋊C4—1461no—
1613C22⋊C4—1461no—
1614C22⋊C4—1461no—
1615C22⋊C4—1461no—
1616C22⋊C4—1461no—
1617C22⋊C4—1461no—
1618C22⋊C4—1461no—
1619C22⋊C4—1461no—
1620C22⋊C4—1461no—
1621C22⋊C4—1461no—
1622C22⋊C4—1461no—
1623C22⋊C4—1461no—
1624C22⋊C4—1461no—
1625C22⋊C4—1461no—
1626C22⋊C4—1461no—
1627C22⋊C4—1461no—
1628C22⋊C4—1461no—
1629C22⋊C4—1461no—
1630C42—21no—
1631C42—731no—
1632C42—731no—
1633C42—731no—
1634C42—1461no—
1635C42—1461no—
1636C42—1461no—
1637C42C23×D7311yescharacteristic
1638C42C23×D7311yescharacteristic
1639C42C23×D7311yescharacteristic
1640C23—21no—
1641C23—21no—
1642C23—21no—
1643C23—2922no—
1644C23—2922no—
1645C23—2922no—
1646C23—2922no—
1647C23—2922no—
1648C23—5841no—
1649C23—5841no—
1650C23—5841no—
1651C23—5841no—
1652C23—5841no—
1653C23—5841no—
1654C23—5841no—
1655C23—5841no—
1656C23—5841no—
1657C23—5841no—
1658C23—5841no—
1659C23—5841no—
1660C23—5841no—
1661C23—731no—
1662C23—731no—
1663C23—731no—
1664C23—1461no—
1665C23—1461no—
1666C23—1461no—
1667C23—1461no—
1668C23—1461no—
1669Q8—21no—
1670Q8—21no—
1671Q8—41no—
1672Q8—81no—
1673Q8—1461no—
1674Q8—1461no—
1675D4—21no—
1676D4—21no—
1677D4—21no—
1678D4—21no—
1679D4—21no—
1680D4—42no—
1681D4—81no—
1682D4—2922no—
1683D4—2921no—
1684D4—2922no—
1685D4—2922no—
1686D4—2922no—
1687D4—2922no—
1688D4—2922no—
1689D4—5841no—
1690D4—5841no—
1691D4—5841no—
1692D4—5841no—
1693D4—5841no—
1694D4—5841no—
1695D4—5841no—
1696D4—5841no—
1697D4—5841no—
1698D4—5841no—
1699D4—5841no—
1700D4—5841no—
1701D4—5841no—
1702D4—5841no—
1703D4—5841no—
1704D4—5841no—
1705D4—5841no—
1706D4—5841no—
1707D4—5841no—
1708D4—5841no—
1709D4—5841no—
1710D4—5841no—
1711D4—5841no—
1712D4—5841no—
1713D4—1462no—
1714D4—1462no—
1715D4—1461no—
1716D4—1461no—
1717D4—1461no—
1718D4—1461no—
1719D4—1461no—
1720D4—1461no—
1721D4—1461no—
1722D4—1461no—
1723D4—1461no—
1724D4—1461no—
1725D4#1455663712yes—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—81no—
1732C2×C4—81no—
1733C2×C4—81no—
1734C2×C4—81no—
1735C2×C4—81no—
1736C2×C4—2922no—
1737C2×C4—2921no—
1738C2×C4—2922no—
1739C2×C4—2922no—
1740C2×C4—5841no—
1741C2×C4—5841no—
1742C2×C4—5841no—
1743C2×C4—5841no—
1744C2×C4—5841no—
1745C2×C4—5841no—
1746C2×C4—5841no—
1747C2×C4—5841no—
1748C2×C4—5841no—
1749C2×C4—5841no—
1750C2×C4—731no—
1751C2×C4—731no—
1752C2×C4—731no—
1753C2×C4—731no—
1754C2×C4—731no—
1755C2×C4—1462no—
1756C2×C4—1461no—
1757C2×C4—1461no—
1758C2×C4—1461no—
1759C2×C4—1461no—
1760C2×C4—1461no—
1761C2×C4—1461no—
1762C2×C4—1461no—
1763C2×C4—1461no—
1764C2×C4—1461no—
1765C2×C4C2×D4×D7311yescharacteristic
1766C2×C4C2×D4×D7311yescharacteristic
1767C2×C4C2×D4×D7311yescharacteristic
1768C2×C4C2×D4×D7311yescharacteristic
1769C2×C4C2×D4×D7311yescharacteristic
1770C2×C4C2×D4×D7311yescharacteristic
1771C2×C4C24×D7311yescharacteristic
1772C8—21no—
1773C8—21no—
1774C8—21no—
1775C8—21no—
1776C8—1461no—
1777C8—1461no—
1778C8—1461no—
1779C8—1461no—
1780C22—22no—
1781C22—41no—
1782C22—41no—
1783C22—41no—
1784C22—41no—
1785C22—41no—
1786C22—41no—
1787C22—41no—
1788C22—41no—
1789C22—2921no—
1790C22—2921no—
1791C22—2921no—
1792C22—2921no—
1793C22—2921no—
1794C22—2921no—
1795C22—2921no—
1796C22—2921no—
1797C22—2921no—
1798C22—2921no—
1799C22—2921no—
1800C22—2921no—
1801C22—2921no—
1802C22—2921no—
1803C22—2921no—
1804C22—5844no—
1805C22—732no—
1806C22—11682no—
1807C22—11682no—
1808C22—11682no—
1809C22—11682no—
1810C22—11682no—
1811C22—1461no—
1812C22—1461no—
1813C22—1461no—
1814C22—1461no—
1815C22—1461no—
1816C22—1461no—
1817C22—1461no—
1818C22—1461no—
1819C22C22×D4×D7311yescharacteristic
1820C4—21no—
1821C4—21no—
1822C4—21no—
1823C4—21no—
1824C4—21no—
1825C4—21no—
1826C4—41no—
1827C4—41no—
1828C4—41no—
1829C4—41no—
1830C4—41no—
1831C4—2921no—
1832C4—2921no—
1833C4—2921no—
1834C4—1461no—
1835C4—1461no—
1836C4—1461no—
1837C4—1461no—
1838C4—1461no—
1839C4C2×#1455663711yescharacteristic
1840C4#1798942411yescharacteristic
1841C2—42no—
1842C2—81no—
1843C2—81no—
1844C2—2921no—
1845C2—2921no—
1846C2—5841no—
1847C2—5841no—
1848C2—5841no—
1849C2—5841no—
1850C2—5841no—
1851C2—1462no—
1852C2#2262359711yescharacteristic
1853C2#576×D7311yescharacteristic
1854C2#2262470811yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3370C2
socleC22×C73C23×D4
hypercenter#3370D73
hypocenterC73#62007
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3370

Complements

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

NH ≅ G/Ntype
1. #22624265C2semidirect
2. #22623874C2semidirect
3. #22623015C2semidirect
4. #22622975C2semidirect
5. #22622638C2semidirect
6. #22622071C2semidirect
7. #22621949C2semidirect
8. #22621934C2semidirect
9. #22621891C2semidirect
10. #22621765C2semidirect
11. #22621741C2semidirect
12. #22621611C2semidirect
13. D8×D292C2semidirect
14. #22621473C2semidirect
15. #22621417C2semidirect
16. #22621413C2semidirect
17. #22621406C2semidirect
18. #22621369C2semidirect
19. #22621349C2semidirect
20. #22621285C2semidirect
21. #22621026C2semidirect
22. #22620984C2semidirect
23. #22620950C2semidirect
24. #22620173C2semidirect
25. #22620126C2semidirect
26. #22620073C2semidirect
27. #22619471C2semidirect
28. #22619432C2semidirect
29. #459×D73C2semidirect
30. #22619069C2semidirect
31. C73×#3370C2semidirect
32. C2×#14556618C22semidirect
33. C2×#14556615C22semidirect
34. C2×#14556612C22semidirect
35. C2×D8×D73C22semidirect
36. C2×D8×D73C22semidirect
37. C2×D8×D73C22semidirect
40. #17989322C22semidirect
41. #17989290C22semidirect
43. #17989275C22semidirect
46. #17989259C22semidirect
47. #17989259C22semidirect
48. #17989240C22semidirect
49. #17989232C22semidirect
50. #17989232C22semidirect
53. #17989230C22semidirect
57. D4×D292C22semidirect
58. D4×D292C22semidirect
59. #17989222C22semidirect
60. #17989211C22semidirect
61. #17989193C22semidirect
63. #17989188C22semidirect
64. #17989188C22semidirect
68. #17989155C22semidirect
69. #17989155C22semidirect
72. #127×D73C22semidirect
74. #17989124C22semidirect
75. #17989122C22semidirect
78. #17989066C22semidirect
79. #17989059C22semidirect
80. C4×D4×D73C22semidirect
81. #17988977C22semidirect
82. #17988976C22semidirect
83. #17988976C22semidirect
84. #17988974C22semidirect
85. #17988969C22semidirect
86. #17988964C22semidirect
87. #17988953C22semidirect
88. #17988953C22semidirect
89. #17988935C22semidirect
90. #17988916C22semidirect
91. #17988913C22semidirect
92. #17988910C22semidirect
93. #17988904C22semidirect
94. #17988902C22semidirect
95. #17988902C22semidirect
96. #17988893C22semidirect
97. #17988890C22semidirect
98. #17988889C22semidirect
99. #17988886C22semidirect
100. #17988884C22semidirect
101. #17988884C22semidirect
102. #17988874C22semidirect
103. #17988841C22semidirect
104. #17988839C22semidirect
105. #17988839C22semidirect
106. #17988834C22semidirect
107. #17988827C22semidirect
109. #17988824C22semidirect
110. #17988824C22semidirect
111. #17988822C22semidirect
112. #17988819C22semidirect
113. #17988817C22semidirect
114. #17988815C22semidirect
115. #17988812C22semidirect
116. #17988809C22semidirect
117. #17988806C22semidirect
118. #17988805C22semidirect
119. #17988805C22semidirect
120. #17988804C22semidirect
121. #17988803C22semidirect
122. #17988803C22semidirect
123. #17988802C22semidirect
124. #17988799C22semidirect
125. #17988788C22semidirect
126. #17988786C22semidirect
127. #17988786C22semidirect
128. #17988783C22semidirect
129. #17988783C22semidirect
130. #17988783C22semidirect
131. #17988782C22semidirect
132. #17988782C22semidirect
133. #17988782C22semidirect
134. #17988782C22semidirect
135. #17988781C22semidirect
136. #17988781C22semidirect
137. #17988781C22semidirect
138. #17988781C22semidirect
139. #17988780C22semidirect
140. #17988780C22semidirect
141. #17988779C22semidirect
142. #17988752C22semidirect
143. #17988739C22semidirect
144. #17988739C22semidirect
145. #17988739C22semidirect
146. #17988736C22semidirect
147. #17988735C22semidirect
148. #17988735C22semidirect
149. #17988735C22semidirect
150. #17988733C22semidirect
151. #17988729C22semidirect
153. #17988722C22semidirect
154. #17988722C22semidirect
155. #17988722C22semidirect
156. #17988722C22semidirect
157. #17988722C22semidirect
158. #17988722C22semidirect
159. #17988719C22semidirect
160. #17988718C22semidirect
161. #17988700C22semidirect
162. #17988700C22semidirect
163. #17988697C22semidirect
164. #17988697C22semidirect
165. #17988687C22semidirect
166. #17988685C22semidirect
167. C4×#11924017C22semidirect
168. C4×#11924013C22semidirect
169. C4×#11924013C22semidirect
170. #17988660C22semidirect
171. #17988660C22semidirect
172. #17988657C22semidirect
173. #17988657C22semidirect
174. C8×D292C22semidirect
175. #17988652C22semidirect
176. #17988649C22semidirect
177. #17988646C22semidirect
178. #17988642C22semidirect
179. #17988612C22semidirect
180. #17988612C22semidirect
181. C4⋊C8×D73C22semidirect
182. #17988590C22semidirect
183. #17988587C22semidirect
184. #17988582C22semidirect
185. #102×D73C22semidirect
186. #102×D73C22semidirect
187. #102×D73C22semidirect
188. #559×C73C22semidirect
189. #554×C73C22semidirect
190. #490×C73C22semidirect
191. #489×C73C22semidirect
192. #488×C73C22semidirect
193. #479×C73C22semidirect
194. #478×C73C22semidirect
195. #474×C73C22semidirect
196. #463×C73C22semidirect
197. #463×C73C22semidirect
199. #446×C73C22semidirect
200. #442×C73C22semidirect
201. #440×C73C22semidirect
202. C4×D8×C73C22semidirect
932. #3370D73semidirect
959. C73#62007semidirect
969. #559C2×D73semidirect
970. #554C2×D73semidirect
1019. #490C2×D73semidirect
1020. #489C2×D73semidirect
1021. #488C2×D73semidirect
1030. #479C2×D73semidirect
1036. #478C2×D73semidirect
1038. #474C2×D73semidirect
1061. #463C2×D73semidirect
1062. #463C2×D73semidirect
1100. #446C2×D73semidirect
1105. #442C2×D73semidirect
1108. #440C2×D73semidirect
1112. C4×D8C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226242652
#226238742
#226230152
#226229752
#226226382
#226220712
#226219492
#226219342
#226218912
#226217652
#226217412
#226216112
D8×D2922
#226214732
#226214172
#226214132
#226214062
#226213692
#226213492
#226212852
#226210262
#226209842
#226209502
#226201732
#226201262
#226200732
#226194712
#226194322
#459×D732
#226190692
C73×#33702
#6200773