Finite Group Databasebeta

← #26005441

Subgroups — #26005441

Order 11008.

7264 conjugacy classes of subgroups.

The subgroup lattice has 1828 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19149175C214yesmaximal, complemented
2#19149147C214yesmaximal, complemented
3#19149032C212yesmaximal, complemented
4#19149017C214yesmaximal, complemented
5#19148986C212yesmaximal, complemented
6#19148969C212yesmaximal, complemented
7#19148925C212yesmaximal, complemented
8#19148789C214yesmaximal, complemented
9#19148646C212yesmaximal, complemented
10#19148629C212yesmaximal, complemented
11#19148627C214yesmaximal, complemented
12#19148599C212yesmaximal, complemented
13#19148558C212yesmaximal, complemented
14#19148544C214yesmaximal, complemented
15#19148519C212yesmaximal, complemented
16#19148460C211yesmaximal, characteristic, complemented
17#19148447C211yesmaximal, characteristic, complemented
18#19148430C214yesmaximal, complemented
19#19148385C212yesmaximal, complemented
20#19148366C211yesmaximal, characteristic, complemented
21#19148359C211yesmaximal, characteristic, complemented
22#19148330C214yesmaximal, complemented
23#19148271C212yesmaximal, complemented
24#19148260C212yesmaximal, complemented
25#19147891C211yesmaximal, characteristic, complemented
26C2×#14583449C211yesmaximal, characteristic, complemented
27C2×C43×#529C211yesmaximal, characteristic, complemented
28C2×#13063373C2212yescomplemented
29C2×#13063370C2212yescomplemented
30C22×#10621898C2212yescomplemented
31#14583651C2218yescomplemented
32#14583646C2218yescomplemented
33#14583640C2218yescomplemented
34#14583639C2218yescomplemented
35#14583634C2212yescomplemented
36#14583632C2214yescomplemented
37#14583627C2212yescomplemented
38#14583622C2212yescomplemented
39#14583621C2214yescomplemented
40#14583619C2212yescomplemented
41#14583614C2214yescomplemented
42#14583614C2212yescomplemented
43#14583612C2218yescomplemented
44#14583609C2212yescomplemented
45#14583606C2214yescomplemented
46#14583602C2214yescomplemented
47#14583602C2214yescomplemented
48#14583600C2218yescomplemented
49#14583599C2214yescomplemented
50#14583597C2218yescomplemented
51#14583597C2218yescomplemented
52#14583595C2214yescomplemented
53#14583595C2214yescomplemented
54#14583593C2218yescomplemented
55#14583590C2214yescomplemented
56#14583587C2214yescomplemented
57#14583587C2214yescomplemented
58#14583574C2218yescomplemented
59#14583573C2218yescomplemented
60#14583573C2218yescomplemented
61#14583572C2218yescomplemented
62#14583571C2212yescomplemented
63#14583571C2212yescomplemented
64#14583570C2214yescomplemented
65#14583570C2212yescomplemented
66#14583567C2214yescomplemented
67Q8×D172C2212yescomplemented
68Q8×D172C2212yescomplemented
69#14583562C2214yescomplemented
70#14583561C2214yescomplemented
71#14583561C2214yescomplemented
72#14583559C2214yescomplemented
73#14583557C2214yescomplemented
74#14583557C2214yescomplemented
75#14583555C2214yescomplemented
76#14583554C2212yescomplemented
77#14583553C2212yescomplemented
78#14583553C2212yescomplemented
79#14583551C2214yescomplemented
80#14583550C2218yescomplemented
81#14583546C2214yescomplemented
82#14583545C2214yescomplemented
83#14583545C2214yescomplemented
84#14583544C2214yescomplemented
85#14583544C2214yescomplemented
86#14583542C2214yescomplemented
87#14583542C2214yescomplemented
88#14583541C2218yescomplemented
89#14583540C2214yescomplemented
90#14583539C2218yescomplemented
91#14583539C2218yescomplemented
92#14583539C2218yescomplemented
93#14583539C2218yescomplemented
94D4×D172C2212yescomplemented
95D4×D172C2212yescomplemented
96D4×D172C2214yescomplemented
97#14583533C2214yescomplemented
98D4×C22⋊D43C2218yescomplemented
99#14583527C2214yescomplemented
100#14583520C2214yescomplemented
101#14583520C2214yescomplemented
102#14583515C2218yescomplemented
103#14583512C2214yescomplemented
104#14583505C2214yescomplemented
105#14583504C2214yescomplemented
106#14583504C2214yescomplemented
107#14583501C2218yescomplemented
108#14583500C2218yescomplemented
109#14583496C2214yescomplemented
110#14583493C2218yescomplemented
111#14583490C2218yescomplemented
112#14583488C2218yescomplemented
113#14583488C2218yescomplemented
114#14583487C2214yescomplemented
115#14583485C2218yescomplemented
116#14583482C2218yescomplemented
117#14583482C2218yescomplemented
118#14583480C2212yescomplemented
119#14583480C2214yescomplemented
120#14583480C2212yescomplemented
121#14583479C2214yescomplemented
122#14583478C2214yescomplemented
123#14583473C2212yescomplemented
124#14583472C2214yescomplemented
125#14583469C2214yescomplemented
126#14583468C2214yescomplemented
127#14583467C2214yescomplemented
128#14583466C2212yescomplemented
129#14583465C2214yescomplemented
130#14583461C2214yescomplemented
131#14583460C2218yescomplemented
132#14583456C2211yescharacteristic, complemented
133#14583456C2211yescharacteristic, complemented
134#14583456C2211yescharacteristic, complemented
135#14583449C2211yescharacteristic
136#14583449C2211yescharacteristic, complemented
137#14583449C2212yescomplemented
138#14583449C2214yescomplemented
139#14583449C2211yescharacteristic, complemented
140#14583449C2211yescharacteristic, complemented
141#14583449C2211yescharacteristic, complemented
142#14583449C2211yescharacteristic, complemented
143#14583449C2212yescomplemented
144#14583449C2212yescomplemented
145#14583449C2212yescomplemented
146#14583449C2212yescomplemented
147#14583449C2212yescomplemented
148#14583449C2211yescharacteristic, complemented
149#14583448C2214yescomplemented
150C2×#13063325C2211yescharacteristic, complemented
151C2×#13063322C2211yescharacteristic, complemented
152#14583434C2214yescomplemented
153#14583434C2214yescomplemented
154#14583433C2212yescomplemented
155#14583433C2214yescomplemented
156#14583433C2212yescomplemented
157#14583433C2212yescomplemented
158#14583433C2212yescomplemented
159#14583433C2212yescomplemented
160#14583433C2212yescomplemented
161C2×#13063313C2212yescomplemented
162#124×D43C2214yescomplemented
163#14583412C2214yescomplemented
164#14583410C2214yescomplemented
165#14583410C2212yescomplemented
166#14583410C2212yescomplemented
167#14583410C2212yescomplemented
168#14583409C2214yescomplemented
169C22⋊Q8×D43C2214yescomplemented
170C2×#13063299C2214yescomplemented
171C2×#13063299C2212yescomplemented
172C2×#13063299C2212yescomplemented
173#121×D43C2214yescomplemented
174#14583380C2212yescomplemented
175#14583380C2212yescomplemented
176#14583379C2214yescomplemented
177#14583373C2214yescomplemented
178#14583371C2218yescomplemented
179C4×#10621898C2212yescomplemented
180C4×#10621898C2212yescomplemented
181C4×#10621898C2212yescomplemented
182C2×C4×D172C2212yescomplemented
183C2×C4×D172C2212yescomplemented
184C43×#529C2212yescomplemented
185C43×#529C2212yescomplemented
186C43×#529C2212yescomplemented
187C43×#529C2212yescomplemented
188C43×#529C2212yescomplemented
189C43×#529C2212yescomplemented
190C43×#529C2212yescomplemented
191C43×#529C2212yescomplemented
192C2×#126×C43C2212yescomplemented
193C2×#125×C43C2211yescharacteristic, complemented
194C2×#124×C43C2211yescharacteristic, complemented
195C2×#123×C43C2212yescomplemented
196C2×C22⋊Q8×C43C2211yescharacteristic, complemented
197C2×#121×C43C2211yescharacteristic
198C2×C4×Q8×C43C2211yescharacteristic, complemented
199C2×C4×D4×C43C2211yescharacteristic, complemented
200C2×C4×D4×C43C2212yescomplemented
201C2×#117×C43C2212yescomplemented
202C22×C42×C43C2211yescharacteristic, complemented
203#13063373—48no—
204#13063370—48no—
205C2×#10621902C2314yes—
206C2×#10621902C2314yes—
207C2×#10621898—48no—
208C2×#10621898C2312yes—
209C2×#10621898C2312yes—
210C2×#10621898C2312yes—
211C2×#10621898C2314yes—
212C2×#10621898C2312yes—
213C2×#10621898C2312yes—
214C2×#10621898C2312yes—
215C2×#10621898C2312yes—
216C2×#10621898C2314yes—
217C2×#10621898C2314yes—
218C2×#10621898C2318yes—
219C2×#10621900C2314yes—
220C2×#10621900C2314yes—
221C22×Dic86C2312yes—
222C2×Q8×D43C2314yes—
223C2×Q8×D43C2314yes—
224C22×D172C2312yes—
225C22×D172C2312yes—
226C22×D172C2314yes—
227C22×D172C2312yes—
228C22×C22⋊D43C2314yes—
229C22×C22⋊D43C2318yes—
230C2×D4×D43C2318yes—
231C2×D4×D43C2314yes—
232C2×D4×D43C2314yes—
233C22×C4×D43C2314yes—
234#13063325C2311yescharacteristic
235#13063325C2311yescharacteristic
236#13063325C2311yescharacteristic
237#13063325C2314yes—
238#13063325C2311yescharacteristic
239#13063325C2311yescharacteristic
240#13063325C2312yes—
241#13063325C2312yes—
242#13063325C2312yes—
243#13063324C2318yes—
244#13063323C2314yes—
245#13063322C2311yescharacteristic
246#13063322C2314yes—
247#13063322C2311yescharacteristic
248#13063322C2311yescharacteristic
249#13063322C2312yes—
250#13063322C2312yes—
251#13063322C2312yes—
252#13063321C2314yes—
253#13063321C2318yes—
254#13063320C2318yes—
255#13063320C2318yes—
256#13063320C2318yes—
257#13063320C2318yes—
258#13063320C2318yes—
259#13063319C2314yes—
260#13063319C2318yes—
261#13063319C2314yes—
262#13063318C2318yes—
263#13063317C2312yes—
264#13063317C2314yes—
265#13063317C2312yes—
266#13063317C2312yes—
267#13063316C2318yes—
268#13063316C2318yes—
269#13063315C2318yes—
270#13063314C2314yes—
271#13063313C2318yes—
272#13063313C2312yes—
273#13063313C2312yes—
274#13063313C2314yes—
275#13063313C2312yes—
276#13063313C2314yes—
277#13063313C2312yes—
278#13063313C2312yes—
279#13063313C2314yes—
280#13063313C2312yes—
281#13063313C2312yes—
282#13063312C2314yes—
283#13063311C2318yes—
284#13063311C2318yes—
285#13063311C2318yes—
286#13063311C2318yes—
287#13063311C2318yes—
288#13063310C2318yes—
289#13063310C2318yes—
290#13063310C2318yes—
291#13063310C2318yes—
292#13063310C2318yes—
293#13063310C2318yes—
294#13063310C2318yes—
295#13063309C2318yes—
296#13063309C2318yes—
297#13063308C2318yes—
298#13063308C2314yes—
299#13063308C2314yes—
300#13063308C2314yes—
301#13063308C2318yes—
302#13063307C2318yes—
303#13063307C2318yes—
304#13063307C2318yes—
305#13063307C2318yes—
306#13063307C2318yes—
307#13063305C2314yes—
308#13063305C2314yes—
309#13063305C2314yes—
310#13063305C2318yes—
311#13063305C2318yes—
312#13063305C2314yes—
313#13063304C2314yes—
314#13063304C2312yes—
315#13063304C2312yes—
316#13063304C2312yes—
317#13063304C2312yes—
318#13063304C2312yes—
319#13063304C2312yes—
320#13063303C2318yes—
321#13063303C2318yes—
322#13063303C2318yes—
323#13063302C2318yes—
324#13063302C2318yes—
325#13063302C2318yes—
326#13063302C2318yes—
327#13063301C2314yes—
328#13063301C2314yes—
329#13063300C2314yes—
330#13063300C2314yes—
331#13063300C2318yes—
332#13063300C2314yes—
333#13063300C2318yes—
334#13063300C2318yes—
335#13063300C2318yes—
336#13063300C2314yes—
337#13063300C2318yes—
338#13063299C2314yes—
339#13063299C2314yes—
340#13063299C2312yes—
341#13063299C2314yes—
342#13063299C2318yes—
343#13063299C2312yes—
344#13063299C2314yes—
345#13063299C2314yes—
346#13063299C2318yes—
347#13063299C2318yes—
348#13063299C2312yes—
349#13063299C2312yes—
350#13063299C2314yes—
351#13063299C2312yes—
352#13063299C2312yes—
353#13063299C2312yes—
354#13063299C2312yes—
355#13063299C2312yes—
356#13063299C2312yes—
357#13063299C2314yes—
358#13063299C2312yes—
359#13063299C2312yes—
360#13063299C2312yes—
361#13063299C2312yes—
362#13063298C2318yes—
363#13063298C2318yes—
364#13063298C2318yes—
365#13063298C2318yes—
366#13063298C2318yes—
367#13063298C2318yes—
368#13063298C2318yes—
369#13063298C2318yes—
370#13063298C2318yes—
371#13063297C2318yes—
372#13063297C2318yes—
373#13063296C2314yes—
374#13063296C2314yes—
375#13063296C2318yes—
376#13063295C2318yes—
377#13063295C2318yes—
378#13063295C2318yes—
379#13063295C2318yes—
380#13063295C2318yes—
381#13063295C2318yes—
382#13063294C2314yes—
383#13063294C2318yes—
384#13063293C2318yes—
385#13063293C2318yes—
386C4×Dic86C2312yes—
387C4×Dic86C2312yes—
388C4×Dic86C2314yes—
389C4×Dic86C2312yes—
390C4×Dic86C2312yes—
391C4×Dic86C2312yes—
392C4×Dic86C2312yes—
393#13063290C2314yes—
394#13063290C2314yes—
395C4×D172C2312yes—
396C4×D172C2312yes—
397C4×D172C2312yes—
398C4×D172C2314yes—
399C4×D172C2314yes—
400C4×D172C2318yes—
401C4×D172C2312yes—
402C4×D172C2312yes—
403C4×D172C2314yes—
404C4×D172C2314yes—
405C4×D172C2314yes—
406C4×D172C2312yes—
407C4×D172C2312yes—
408C4×D172C2312yes—
409C4×D172C2312yes—
410C4×D172C2312yes—
411C4×D172C2314yes—
412C4×D172C2312yes—
413C4×D172C2312yes—
414C4×D172C2314yes—
415C4×D172C2312yes—
416C4×D172C2312yes—
417D4×Dic43C2318yes—
418#13063287C2318yes—
419#13063287C2318yes—
420#13063287C2314yes—
421#13063287C2318yes—
422#13063287C2314yes—
423C4×C22⋊D43C2314yes—
424C4×C22⋊D43C2314yes—
425C4×C22⋊D43C2318yes—
426C4×C22⋊D43C2314yes—
427C4×C22⋊D43C2314yes—
428C4×C22⋊D43C2318yes—
429C4×C22⋊D43C2318yes—
430C4×C22⋊D43C2314yes—
431C4×C22⋊D43C2314yes—
432(C22⋊D43)⋊C4C2318yes—
433(C22⋊D43)⋊C4C2318yes—
434(C22⋊D43)⋊C4C2318yes—
435(C22⋊D43)⋊C4C2318yes—
436#13063284C2312yes—
437#13063284C2312yes—
438#13063284C2314yes—
439#13063284C2312yes—
440#13063283C2318yes—
441#13063283C2318yes—
442#13063283C2314yes—
443#13063283C2314yes—
444#13063282C2314yes—
445#13063282C2318yes—
446#13063282C2314yes—
447#13063282C2314yes—
448C2×C4⋊Dic43C2314yes—
449C2×C4⋊Dic43C2312yes—
450C2×C4⋊Dic43C2312yes—
451C4⋊C4×D43C2314yes—
452C4⋊C4×D43C2314yes—
453C4⋊C4×D43C2318yes—
454C2×(C2×D43)⋊C4C2314yes—
455C2×(C2×D43)⋊C4C2318yes—
456C2×(C2×D43)⋊C4C2314yes—
457C22⋊C4×D43C2318yes—
458C22⋊C4×D43C2318yes—
459C22⋊C4×D43C2318yes—
460C22⋊C4×D43C2318yes—
461C42×D43C2314yes—
462C22×Q8×C43C2311yescharacteristic
463C22×D4×C43C2311yescharacteristic
464C22×D4×C43C2312yes—
465C23×C4×C43C2311yescharacteristic
466C23×C4×C43C2311yescharacteristic
467C23×C4×C43C2311yescharacteristic
468C23×C4×C43C2312yes—
469#126×C43C2314yes—
470#126×C43C2314yes—
471#126×C43C2314yes—
472#126×C43C2314yes—
473#125×C43C2312yes—
474#125×C43C2312yes—
475#125×C43C2312yes—
476#125×C43C2312yes—
477#124×C43C2312yes—
478#124×C43C2312yes—
479#124×C43C2312yes—
480#124×C43C2312yes—
481#123×C43C2314yes—
482#123×C43C2314yes—
483#123×C43C2314yes—
484#123×C43C2314yes—
485C22⋊Q8×C43C2312yes—
486C22⋊Q8×C43C2312yes—
487C22⋊Q8×C43C2312yes—
488C22⋊Q8×C43C2312yes—
489#121×C43C2312yes—
490#121×C43C2312yes—
491#121×C43C2312yes—
492#121×C43C2312yes—
493C4×Q8×C43C2312yes—
494C4×Q8×C43C2312yes—
495C4×Q8×C43C2312yes—
496C4×Q8×C43C2312yes—
497C4×D4×C43C2312yes—
498C4×D4×C43C2312yes—
499C4×D4×C43C2314yes—
500C4×D4×C43C2314yes—
501C4×D4×C43C2312yes—
502C4×D4×C43C2314yes—
503C4×D4×C43C2312yes—
504C4×D4×C43C2314yes—
505#117×C43C2314yes—
506#117×C43C2314yes—
507#117×C43C2314yes—
508#117×C43C2314yes—
509C2×C4⋊C4×C43C2312yes—
510C2×C4⋊C4×C43C2312yes—
511C2×C4⋊C4×C43C2311yescharacteristic
512C2×C4⋊C4×C43C2312yes—
513C2×C4⋊C4×C43C2311yescharacteristic
514C2×C4⋊C4×C43C2312yes—
515C2×C22⋊C4×C43C2312yes—
516C2×C22⋊C4×C43C2312yes—
517C2×C22⋊C4×C43C2312yes—
518C2×C22⋊C4×C43C2312yes—
519C2×C22⋊C4×C43C2312yes—
520C2×C42×C43C2311yescharacteristic
521C2×C42×C43C2311yescharacteristic
522C2×C42×C43C2311yescharacteristic
523C2×C42×C43C2311yescharacteristic
524C2×C42×C43C2311yescharacteristic
525C2×C42×C43C2311yescharacteristic
526C2×C42×C43C2311yescharacteristic
527C2×C42×C43C2311yescharacteristic
528C2×C42×C43C2311yescharacteristic
529C2×C42×C43C2311yescharacteristic
530C2×C42×C43C2311yescharacteristic
531C2×C42×C43C2311yescharacteristic
532C2×C42×C43C2312yes—
533C24×C43C2411yescharacteristic
534C24×C43C2412yes—
535C23×D43C2414yes—
536C23×D43C2418yes—
537C2×Q8×C43—24no—
538C2×Q8×C43C2412yes—
539C2×Q8×C43C2412yes—
540C2×D4×C43—24no—
541C2×D4×C43—44no—
542C2×D4×C43C2414yes—
543C2×D4×C43C2412yes—
544C2×D4×C43C2412yes—
545C2×D4×C43C2414yes—
546C22×C4×C43—24no—
547C22×C4×C43—42no—
548C22×C4×C43—42no—
549C22×C4×C43—44no—
550C22×C4×C43C2411yescharacteristic
551C22×C4×C43C2411yescharacteristic
552C22×C4×C43C2411yescharacteristic
553C22×C4×C43C2411yescharacteristic
554C22×C4×C43C2411yescharacteristic
555C22×C4×C43C2411yescharacteristic
556C22×C4×C43C2411yescharacteristic
557C22×C4×C43C2411yescharacteristic
558C22×C4×C43C2411yescharacteristic
559C22×C4×C43C2411yescharacteristic
560C22×C4×C43C2412yes—
561C22×C4×C43C2414yes—
562C22×C4×C43C2411yescharacteristic
563C22×C4×C43C2411yescharacteristic
564C22×C4×C43C2411yescharacteristic
565C22×C4×C43C2411yescharacteristic
566C22×C4×C43C2411yescharacteristic
567C22×C4×C43C2411yescharacteristic
568C22×C4×C43C2411yescharacteristic
569C22×C4×C43C2412yes—
570C22×C4×C43C2412yes—
571C22×C4×C43C2414yes—
572C22×C4×C43C2411yescharacteristic
573C2×C22⋊D43—48no—
574C2×C22⋊D43—416no—
575C2×C22⋊D43C2414yes—
576C2×C22⋊D43C2414yes—
577C2×C22⋊D43C2414yes—
578C2×C22⋊D43C2414yes—
579C2×C22⋊D43C2418yes—
580C2×C22⋊D43C2418yes—
581C2×C22⋊D43C2414yes—
582C2×C22⋊D43C2414yes—
583C2×C22⋊D43C2418yes—
584C2×C22⋊D43C2418yes—
585C2×C22⋊D43C2414yes—
586C22×Dic43C2414yes—
587C22×Dic43C2418yes—
588#10621902—48no—
589#10621902—48no—
590Q8×D43—48no—
591Q8×D43—48no—
592#10621900—48no—
593#10621900—48no—
594D4×D43—416no—
595D4×D43—48no—
596D4×D43—48no—
597#10621898—28no—
598#10621898—28no—
599#10621898—28no—
600#10621898—44no—
601#10621898—44no—
602#10621898—44no—
603#10621898—48no—
604#10621898—48no—
605#10621898—48no—
606#10621898—44no—
607#10621898—416no—
608C2×D172—44no—
609C2×D172—44no—
610C2×D172—48no—
611C2×D172—44no—
612C2×D172C2412yes—
613C2×D172C2412yes—
614C2×D172C2412yes—
615C2×D172C2412yes—
616C2×D172C2412yes—
617C2×D172C2412yes—
618C2×D172C2418yes—
619C2×D172C2418yes—
620C2×D172C2412yes—
621C2×D172C2412yes—
622C2×D172C2414yes—
623C2×D172C2414yes—
624C2×D172C2412yes—
625C2×D172C2418yes—
626C2×D172C2414yes—
627C2×C4×D43—48no—
628C2×C4×D43C2414yes—
629C2×C4×D43C2414yes—
630C2×C4×D43C2414yes—
631C2×C4×D43C2414yes—
632C2×C4×D43C2414yes—
633C2×C4×D43C2418yes—
634C2×C4×D43C2414yes—
635C2×C4×D43C2418yes—
636C2×C4×D43C2418yes—
637C2×C4×D43C2418yes—
638C2×C4×D43C2414yes—
639C2×Dic86—44no—
640C2×Dic86C2412yes—
641C2×Dic86C2412yes—
642C2×Dic86C2412yes—
643C2×Dic86C2412yes—
644C2×Dic86C2412yes—
645C2×Dic86C2418yes—
646C2×Dic86C2414yes—
647C4⋊C4×C43C2414yes—
648C4⋊C4×C43C2414yes—
649C4⋊C4×C43C2414yes—
650C4⋊C4×C43C2414yes—
651C4⋊C4×C43C2412yes—
652C4⋊C4×C43C2412yes—
653C4⋊C4×C43C2414yes—
654C4⋊C4×C43C2414yes—
655C4⋊C4×C43C2412yes—
656C4⋊C4×C43C2412yes—
657C4⋊C4×C43C2414yes—
658C4⋊C4×C43C2414yes—
659C22⋊C4×C43C2414yes—
660C22⋊C4×C43C2414yes—
661C22⋊C4×C43C2414yes—
662C22⋊C4×C43C2414yes—
663C22⋊C4×C43C2414yes—
664C22⋊C4×C43C2414yes—
665C22⋊C4×C43C2414yes—
666C22⋊C4×C43C2414yes—
667C22⋊C4×C43C2414yes—
668C22⋊C4×C43C2414yes—
669C42×C43C2411yescharacteristic
670C42×C43C2411yescharacteristic
671C42×C43C2411yescharacteristic
672C42×C43C2411yescharacteristic
673C42×C43C2411yescharacteristic
674C42×C43C2411yescharacteristic
675C42×C43C2411yescharacteristic
676C42×C43C2411yescharacteristic
677C42×C43C2411yescharacteristic
678C42×C43C2411yescharacteristic
679C42×C43C2411yescharacteristic
680C42×C43C2411yescharacteristic
681C42×C43C2411yescharacteristic
682C42×C43C2411yescharacteristic
683C42×C43C2411yescharacteristic
684C42×C43C2411yescharacteristic
685C42×C43C2414yes—
686C42×C43C2414yes—
687C22⋊Dic43C2414yes—
688C22⋊Dic43C2418yes—
689C22⋊Dic43C2418yes—
690C22⋊Dic43C2414yes—
691C22⋊Dic43C2414yes—
692(C2×D43)⋊C4C2414yes—
693(C2×D43)⋊C4C2414yes—
694(C2×D43)⋊C4C2414yes—
695(C2×D43)⋊C4C2418yes—
696(C2×D43)⋊C4C2418yes—
697(C2×D43)⋊C4C2418yes—
698(C2×D43)⋊C4C2418yes—
699(C2×D43)⋊C4C2414yes—
700(C2×D43)⋊C4C2414yes—
701(C2×D43)⋊C4C2414yes—
702(C2×D43)⋊C4C2414yes—
703(C2×D43)⋊C4C2418yes—
704(C2×D43)⋊C4C2414yes—
705(C2×D43)⋊C4C2414yes—
706(C2×D43)⋊C4C2414yes—
707(C2×D43)⋊C4C2414yes—
708(C2×D43)⋊C4C2414yes—
709(C2×D43)⋊C4C2414yes—
710(C2×D43)⋊C4C2414yes—
711(C2×D43)⋊C4C2418yes—
712(C2×D43)⋊C4C2418yes—
713(C2×D43)⋊C4C2418yes—
714C4⋊Dic43C2412yes—
715C4⋊Dic43C2412yes—
716C4⋊Dic43C2418yes—
717C4⋊Dic43C2412yes—
718C4⋊Dic43C2412yes—
719C4⋊Dic43C2412yes—
720C4⋊Dic43C2414yes—
721C4⋊Dic43C2414yes—
722C4⋊Dic43C2412yes—
723C4⋊Dic43C2412yes—
724C4⋊Dic43C2418yes—
725C4⋊Dic43C2412yes—
726C4⋊Dic43C2412yes—
727C4⋊Dic43C2412yes—
728Dic43⋊C4C2414yes—
729Dic43⋊C4C2418yes—
730Dic43⋊C4C2418yes—
731Dic43⋊C4C2418yes—
732Dic43⋊C4C2414yes—
733Dic43⋊C4C2418yes—
734Dic43⋊C4C2414yes—
735Dic43⋊C4C2414yes—
736Dic43⋊C4C2414yes—
737Dic43⋊C4C2414yes—
738C4×Dic43C2414yes—
739C4×Dic43C2414yes—
740C4×Dic43C2414yes—
741C4×Dic43C2418yes—
742C4×Dic43C2418yes—
743C23×C43—22no—
744C23×C43—22no—
745C23×C43—24no—
746C23×C43—41no—
747C23×C43—42no—
748C23×C43—42no—
749C23×C43C2514yes—
750C23×C43C2511yescharacteristic
751C23×C43C2511yescharacteristic
752C23×C43C2511yescharacteristic
753C22×D43—28no—
754C22×D43—44no—
755C22×D43—44no—
756C22×D43—48no—
757C22×D43—48no—
758C22×D43—48no—
759C22×D43C2514yes—
760C22×D43C2514yes—
761C22×D43C2514yes—
762Q8×C43—24no—
763Q8×C43—24no—
764D4×C43—28no—
765D4×C43—24no—
766D4×C43—24no—
767D4×C43—44no—
768C2×C4×C43—22no—
769C2×C4×C43—24no—
770C2×C4×C43—22no—
771C2×C4×C43—22no—
772C2×C4×C43—22no—
773C2×C4×C43—22no—
774C2×C4×C43—22no—
775C2×C4×C43—22no—
776C2×C4×C43—22no—
777C2×C4×C43—28no—
778C2×C4×C43—22no—
779C2×C4×C43—22no—
780C2×C4×C43—41no—
781C2×C4×C43—41no—
782C2×C4×C43—41no—
783C2×C4×C43—41no—
784C2×C4×C43—41no—
785C2×C4×C43—41no—
786C2×C4×C43—42no—
787C2×C4×C43—44no—
788C2×C4×C43—41no—
789C2×C4×C43—42no—
790C2×C4×C43H(5,𝔽2)14yes—
791C2×C4×C43C2511yescharacteristic
792C2×C4×C43C2511yescharacteristic
793C2×C4×C43C2514yes—
794C2×C4×C43C2514yes—
795C2×C4×C43C2511yescharacteristic
796C2×C4×C43C2511yescharacteristic
797C2×C4×C43C2511yescharacteristic
798C2×C4×C43C2511yescharacteristic
799C2×C4×C43C2511yescharacteristic
800C2×C4×C43C2511yescharacteristic
801C2×C4×C43C2514yes—
802C2×C4×C43C2511yescharacteristic
803C2×C4×C43C2511yescharacteristic
804C2×C4×C43C2511yescharacteristic
805C2×C4×C43C2511yescharacteristic
806C22⋊D43—28no—
807C22⋊D43—28no—
808C22⋊D43—28no—
809C22⋊D43—28no—
810C22⋊D43—44no—
811C22⋊D43—44no—
812C22⋊D43—44no—
813C22⋊D43—48no—
814C22⋊D43—48no—
815C22⋊D43—48no—
816C22⋊D43—48no—
817C2×Dic43—44no—
818C2×Dic43—48no—
819C2×Dic43C2514yes—
820C2×Dic43C2514yes—
821C2×Dic43C2514yes—
822C2×Dic43C2514yes—
823C2×Dic43C2514yes—
824D172—24no—
825D172—24no—
826D172—24no—
827D172—24no—
828D172—24no—
829D172—24no—
830D172—48no—
831D172—42no—
832D172—44no—
833D172—42no—
834D172—44no—
835D172—44no—
836D172—42no—
837D172—48no—
838D172—48no—
839C4×D43—28no—
840C4×D43—28no—
841C4×D43—28no—
842C4×D43—44no—
843C4×D43—44no—
844C4×D43—44no—
845C4×D43—48no—
846C4×D43—44no—
847C4×D43—48no—
848C4×D43—48no—
849C4×D43—48no—
850Dic86—24no—
851Dic86—24no—
852Dic86—24no—
853Dic86—24no—
854Dic86—44no—
855Dic86—42no—
856Dic86—48no—
857#62830—431nomaximal, Sylow
858C22×C43—21no—
859C22×C43—21no—
860C22×C43—21no—
861C22×C43—21no—
862C22×C43—24no—
863C22×C43—21no—
864C22×C43—24no—
865C22×C43—24no—
866C22×C43—21no—
867C22×C43—21no—
868C22×C43—44no—
869C22×C43—84no—
870C22×C43C2×H(5,𝔽2)12yes—
871C22×C43#58512yes—
872C22×C43C2611yescharacteristic
873C2×D43—24no—
874C2×D43—24no—
875C2×D43—24no—
876C2×D43—24no—
877C2×D43—24no—
878C2×D43—24no—
879C2×D43—24no—
880C2×D43—24no—
881C2×D43—24no—
882C2×D43—88no—
883C2×D43—168no—
884C4×C43—21no—
885C4×C43—24no—
886C4×C43—21no—
887C4×C43—21no—
888C4×C43—21no—
889C4×C43—21no—
890C4×C43—24no—
891C4×C43—24no—
892C4×C43—21no—
893C4×C43—21no—
894C4×C43—21no—
895C4×C43—21no—
896C4×C43C2×H(5,𝔽2)12yes—
897C4×C43C2×H(5,𝔽2)12yes—
898C4×C43#58512yes—
899Dic43—24no—
900Dic43—24no—
901Dic43—24no—
902Dic43—24no—
903Dic43—24no—
904#3562—434no—
905#3560—434no—
906#3552—432no—
907#3551—434no—
908#3547—432no—
909#3546—432no—
910#3543—432no—
911#3534—434no—
912#3520—432no—
913#3519—432no—
914#3519—434no—
915#3517—432no—
916#3514—434no—
917#3514—432no—
918#3512—432no—
919#3507—431no—
920#3506—431no—
921#3505—434no—
922#3500—432no—
923#3497—431no—
924#3496—431no—
925#3494—434no—
926#3489—432no—
927#3488—432no—
928#3444—431no—
929C2×#532—431no—
930C2×#529D4311yescharacteristic, complemented
931C2×C43—22no—
932C2×C43—22no—
933C2×C43—44no—
934C2×C43—41no—
935C2×C43C22×H(5,𝔽2)11yescharacteristic
936C2×C43C2×#58511yescharacteristic
937C2×C43C2×#58511yescharacteristic
938D43—44no—
939D43—44no—
940D43—44no—
941C2×2−1+4—432no—
942C2×H(5,𝔽2)—432no—
943C22×#41—432no—
944#563—438no—
945#562—438no—
946#560—438no—
947#560—438no—
948#559—432no—
949#559—434no—
950#557—432no—
951#556—434no—
952#556—432no—
953#556—432no—
954#555—432no—
955#555—434no—
956#555—438no—
957#554—432no—
958#554—434no—
959#553—438no—
960#553—434no—
961#553—434no—
962#553—434no—
963#553—434no—
964#553—434no—
965#553—438no—
966#553—438no—
967#553—438no—
968#552—434no—
969#552—434no—
970#552—434no—
971#551—438no—
972#551—438no—
973#551—438no—
974#551—438no—
975#550—434no—
976#550—432no—
977#550—432no—
978#550—432no—
979#550—434no—
980D4×Q8—434no—
981D4×Q8—432no—
982D4×Q8—432no—
983#548—434no—
984#548—434no—
985#548—434no—
986#548—434no—
987#548—434no—
988#548—434no—
989#547—434no—
990#547—432no—
991#547—432no—
992#547—432no—
993#547—438no—
994#546—434no—
995#546—434no—
996#546—438no—
997#546—434no—
998#546—434no—
999#546—434no—
1000#546—434no—
1001#546—434no—
1002#546—434no—
1003#546—438no—
1004#546—438no—
1005#546—438no—
1006#546—438no—
1007D42—438no—
1008D42—434no—
1009D42—432no—
1010D42—432no—
1011D42—434no—
1012#544—434no—
1013#542—438no—
1014#542—434no—
1015#542—434no—
1016#541—434no—
1017#540—434no—
1018#540—438no—
1019#540—438no—
1020#540—434no—
1021#540—434no—
1022#539—438no—
1023#539—438no—
1024#539—434no—
1025#538—438no—
1026#538—438no—
1027#538—438no—
1028#538—438no—
1029#538—438no—
1030#538—434no—
1031#537—434no—
1032#537—434no—
1033#537—432no—
1034#537—432no—
1035#537—434no—
1036#536—432no—
1037#536—434no—
1038#536—434no—
1039#535—432no—
1040#535—434no—
1041#535—434no—
1042#535—434no—
1043#534—438no—
1044#534—434no—
1045#533—431no—
1046#533—431no—
1047#533—431no—
1048#532—434no—
1049#532—431no—
1050#532—432no—
1051#532—431no—
1052#532—432no—
1053#532—431no—
1054#532—431no—
1055#532—432no—
1056#532—432no—
1057#532—432no—
1058#532—432no—
1059#532—431no—
1060#532—431no—
1061#532—431no—
1062#532—434no—
1063C2×C4⋊Q8—431no—
1064C2×#127—431no—
1065#529—434no—
1066#529—434no—
1067#529—432no—
1068#529—432no—
1069#529—432no—
1070#529—432no—
1071#529—432no—
1072#529—432no—
1073#529—434no—
1074#529C2×D4312yescomplemented
1075#529C2×D4312yescomplemented
1076#529C2×D4312yescomplemented
1077#529C2×D4312yescomplemented
1078#529C2×D4312yescomplemented
1079#529C2×D4312yescomplemented
1080#529C2×D4312yescomplemented
1081#529C2×D4312yescomplemented
1082C2×#126C2×D4312yescomplemented
1083C2×#125C2×D4311yescharacteristic, complemented
1084C2×#124—434no—
1085C2×#124—432no—
1086C2×#124C2×D4311yescharacteristic, complemented
1087#525—432no—
1088#525—432no—
1089#525—432no—
1090#525—434no—
1091#525—434no—
1092#525—434no—
1093C2×#123C2×D4312yescomplemented
1094C2×C22⋊Q8—434no—
1095C2×C22⋊Q8C2×D4311yescharacteristic, complemented
1096C2×#121—432no—
1097C2×#121—432no—
1098C2×#121—434no—
1099C2×#121—434no—
1100C2×#121C2×D4311yescharacteristic
1101#520—434no—
1102#520—432no—
1103#520—432no—
1104#518—438no—
1105#518—434no—
1106C4×#41—432no—
1107C4×#41—432no—
1108C4×#41—432no—
1109C2×C4×Q8C2×D4311yescharacteristic, complemented
1110C2×C4×D4—432no—
1111C2×C4×D4—432no—
1112C2×C4×D4C2×D4311yescharacteristic, complemented
1113C2×C4×D4C2×D4312yescomplemented
1114C2×#117C2×D4312yescomplemented
1115C22×C42C2×D4311yescharacteristic, complemented
1116C43#6283011yescharacteristic, complemented, Sylow
11172−1+4—1728no—
1118H(5,𝔽2)—1728no—
1119C2×#41—434no—
1120C2×#41—434no—
1121C2×#41—434no—
1122C2×#41—434no—
1123C2×#41—432no—
1124C2×#41—432no—
1125C2×#41—432no—
1126C2×#41—432no—
1127C2×#41—432no—
1128C2×#41—434no—
1129C2×#41—434no—
1130C2×#41—434no—
1131C2×#41—432no—
1132C2×#41—432no—
1133C2×#41—438no—
1134C2×#41—1728no—
1135C22×Q8—434no—
1136C22×Q8—434no—
1137C22×Q8—432no—
1138C22×Q8C22×D4311yescharacteristic
1139C22×D4—434no—
1140C22×D4—438no—
1141C22×D4—438no—
1142C22×D4—434no—
1143C22×D4—434no—
1144C22×D4—432no—
1145C22×D4—432no—
1146C22×D4—434no—
1147C22×D4—432no—
1148C22×D4C22×D4311yescharacteristic
1149C22×D4C22×D4312yes—
1150C23×C4—434no—
1151C23×C4C22×D4311yescharacteristic
1152C23×C4C22×D4312yes—
1153C23×C4C22×D4311yescharacteristic
1154C23×C4C22×D4311yescharacteristic
1155C4⋊Q8—434no—
1156C4⋊Q8—438no—
1157C4⋊Q8—432no—
1158C4⋊Q8—432no—
1159C4⋊Q8—431no—
1160C4⋊Q8—431no—
1161C4⋊Q8—432no—
1162C4⋊Q8—431no—
1163C4⋊Q8—431no—
1164C4⋊Q8—431no—
1165C4⋊Q8—434no—
1166#127—434no—
1167#127—438no—
1168#127—432no—
1169#127—432no—
1170#127—431no—
1171#127—431no—
1172#127—432no—
1173#127—431no—
1174#127—434no—
1175#126—438no—
1176#126—438no—
1177#126—438no—
1178#126—438no—
1179#126—438no—
1180#126—438no—
1181#126—434no—
1182#126—434no—
1183#126—438no—
1184#126C22×D4314yes—
1185#126C22×D4314yes—
1186#126C22×D4314yes—
1187#126C22×D4314yes—
1188#125—438no—
1189#125—438no—
1190#125—438no—
1191#125—432no—
1192#125—432no—
1193#125—432no—
1194#125—434no—
1195#125C22×D4312yes—
1196#125C22×D4312yes—
1197#125C22×D4312yes—
1198#125C22×D4312yes—
1199#124—434no—
1200#124—434no—
1201#124—438no—
1202#124—438no—
1203#124—438no—
1204#124—438no—
1205#124—438no—
1206#124—432no—
1207#124—432no—
1208#124—434no—
1209#124—432no—
1210#124—432no—
1211#124—434no—
1212#124—432no—
1213#124—432no—
1214#124—432no—
1215#124—434no—
1216#124—438no—
1217#124C22×D4312yes—
1218#124C22×D4312yes—
1219#124C22×D4312yes—
1220#124C22×D4312yes—
1221#123—434no—
1222#123—434no—
1223#123—434no—
1224#123—438no—
1225#123—438no—
1226#123—438no—
1227#123—438no—
1228#123—438no—
1229#123—438no—
1230#123—438no—
1231#123—438no—
1232#123—438no—
1233#123—438no—
1234#123—438no—
1235#123—438no—
1236#123—438no—
1237#123—438no—
1238#123—438no—
1239#123—438no—
1240#123C22×D4314yes—
1241#123C22×D4314yes—
1242#123C22×D4314yes—
1243#123C22×D4314yes—
1244C22⋊Q8—434no—
1245C22⋊Q8—434no—
1246C22⋊Q8—432no—
1247C22⋊Q8—432no—
1248C22⋊Q8—432no—
1249C22⋊Q8—432no—
1250C22⋊Q8—432no—
1251C22⋊Q8—432no—
1252C22⋊Q8—434no—
1253C22⋊Q8—434no—
1254C22⋊Q8—438no—
1255C22⋊Q8—434no—
1256C22⋊Q8—434no—
1257C22⋊Q8—434no—
1258C22⋊Q8—438no—
1259C22⋊Q8—438no—
1260C22⋊Q8—438no—
1261C22⋊Q8—438no—
1262C22⋊Q8—438no—
1263C22⋊Q8—438no—
1264C22⋊Q8—438no—
1265C22⋊Q8—438no—
1266C22⋊Q8C22×D4312yes—
1267C22⋊Q8C22×D4312yes—
1268C22⋊Q8C22×D4312yes—
1269C22⋊Q8C22×D4312yes—
1270#121—434no—
1271#121—438no—
1272#121—434no—
1273#121—438no—
1274#121—438no—
1275#121—432no—
1276#121—432no—
1277#121—432no—
1278#121—432no—
1279#121—432no—
1280#121—432no—
1281#121—432no—
1282#121—434no—
1283#121—432no—
1284#121—434no—
1285#121—434no—
1286#121—432no—
1287#121—432no—
1288#121—434no—
1289#121—438no—
1290#121—438no—
1291#121—434no—
1292#121—434no—
1293#121—432no—
1294#121—432no—
1295#121—432no—
1296#121—432no—
1297#121—434no—
1298#121—438no—
1299#121—434no—
1300#121—434no—
1301#121—434no—
1302#121—434no—
1303#121—438no—
1304#121—438no—
1305#121—438no—
1306#121—438no—
1307#121—438no—
1308#121—438no—
1309#121—438no—
1310#121—438no—
1311#121—438no—
1312#121—438no—
1313#121—438no—
1314#121—438no—
1315#121—438no—
1316#121—438no—
1317#121C22×D4312yes—
1318#121C22×D4312yes—
1319#121C22×D4312yes—
1320#121C22×D4312yes—
1321#120—434no—
1322#120—438no—
1323#120—438no—
1324#120—438no—
1325#120—438no—
1326#120—438no—
1327#120—438no—
1328#120—438no—
1329#120—438no—
1330#120—438no—
1331C4×Q8—434no—
1332C4×Q8—434no—
1333C4×Q8—432no—
1334C4×Q8—432no—
1335C4×Q8—432no—
1336C4×Q8—432no—
1337C4×Q8—432no—
1338C4×Q8—432no—
1339C4×Q8—434no—
1340C4×Q8C22×D4312yes—
1341C4×Q8C22×D4312yes—
1342C4×Q8C22×D4312yes—
1343C4×Q8C22×D4312yes—
1344C4×D4—438no—
1345C4×D4—434no—
1346C4×D4—434no—
1347C4×D4—434no—
1348C4×D4—434no—
1349C4×D4—434no—
1350C4×D4—434no—
1351C4×D4—438no—
1352C4×D4—438no—
1353C4×D4—438no—
1354C4×D4—438no—
1355C4×D4—438no—
1356C4×D4—438no—
1357C4×D4—434no—
1358C4×D4—434no—
1359C4×D4—438no—
1360C4×D4—438no—
1361C4×D4—438no—
1362C4×D4—438no—
1363C4×D4—432no—
1364C4×D4—432no—
1365C4×D4—434no—
1366C4×D4—432no—
1367C4×D4—432no—
1368C4×D4—434no—
1369C4×D4—434no—
1370C4×D4—432no—
1371C4×D4—432no—
1372C4×D4—432no—
1373C4×D4—434no—
1374C4×D4—432no—
1375C4×D4—432no—
1376C4×D4—432no—
1377C4×D4—432no—
1378C4×D4—432no—
1379C4×D4—432no—
1380C4×D4—432no—
1381C4×D4—434no—
1382C4×D4—438no—
1383C4×D4—434no—
1384C4×D4—434no—
1385C4×D4C22×D4314yes—
1386C4×D4C22×D4314yes—
1387C4×D4C22×D4314yes—
1388C4×D4C22×D4312yes—
1389C4×D4C22×D4312yes—
1390C4×D4C22×D4312yes—
1391C4×D4C22×D4312yes—
1392C4×D4C22×D4314yes—
1393#117—432no—
1394#117—432no—
1395#117—432no—
1396#117—434no—
1397#117—438no—
1398#117—434no—
1399#117—434no—
1400#117—438no—
1401#117—434no—
1402#117—434no—
1403#117—434no—
1404#117—438no—
1405#117C22×D4314yes—
1406#117C22×D4314yes—
1407#117C22×D4314yes—
1408#117C22×D4314yes—
1409C2×C4⋊C4—432no—
1410C2×C4⋊C4—432no—
1411C2×C4⋊C4—434no—
1412C2×C4⋊C4—434no—
1413C2×C4⋊C4—434no—
1414C2×C4⋊C4—438no—
1415C2×C4⋊C4C22×D4312yes—
1416C2×C4⋊C4C22×D4312yes—
1417C2×C4⋊C4C22×D4311yescharacteristic
1418C2×C4⋊C4C22×D4312yes—
1419C2×C4⋊C4C22×D4311yescharacteristic
1420C2×C4⋊C4C22×D4312yes—
1421C2×C22⋊C4—434no—
1422C2×C22⋊C4—434no—
1423C2×C22⋊C4—438no—
1424C2×C22⋊C4—438no—
1425C2×C22⋊C4—438no—
1426C2×C22⋊C4—438no—
1427C2×C22⋊C4—438no—
1428C2×C22⋊C4C22×D4312yes—
1429C2×C22⋊C4C22×D4312yes—
1430C2×C22⋊C4C22×D4312yes—
1431C2×C22⋊C4C22×D4312yes—
1432C2×C22⋊C4C22×D4312yes—
1433C2×C42—434no—
1434C2×C42C22×D4311yescharacteristic
1435C2×C42C22×D4312yes—
1436C2×C42C22×D4311yescharacteristic
1437C2×C42C22×D4311yescharacteristic
1438C2×C42C22×D4311yescharacteristic
1439C2×C42C22×D4311yescharacteristic
1440C2×C42C22×D4311yescharacteristic
1441C2×C42C22×D4311yescharacteristic
1442C2×C42C22×D4311yescharacteristic
1443C2×C42C22×D4311yescharacteristic
1444C2×C42C22×D4311yescharacteristic
1445C2×C42C22×D4311yescharacteristic
1446C2×C42C22×D4311yescharacteristic
1447C24—434no—
1448C24—438no—
1449C24C23×D4311yescharacteristic
1450C24C23×D4312yes—
1451#41—868no—
1452#41—868no—
1453#41—868no—
1454#41—1728no—
1455#41—1728no—
1456#41—17216no—
1457#41—1724no—
1458#41—1724no—
1459#41—1724no—
1460#41—1728no—
1461#41—1724no—
1462#41—1728no—
1463#41—1728no—
1464#41—1728no—
1465#41—1728no—
1466C2×Q8—24no—
1467C2×Q8—432no—
1468C2×Q8—432no—
1469C2×Q8—432no—
1470C2×Q8—432no—
1471C2×Q8—432no—
1472C2×Q8—438no—
1473C2×Q8—434no—
1474C2×Q8—1724no—
1475C2×Q8—1728no—
1476C2×Q8—1728no—
1477C2×Q8C23×D4312yes—
1478C2×Q8C23×D4312yes—
1479C2×D4—24no—
1480C2×D4—44no—
1481C2×D4—434no—
1482C2×D4—434no—
1483C2×D4—434no—
1484C2×D4—434no—
1485C2×D4—438no—
1486C2×D4—434no—
1487C2×D4—438no—
1488C2×D4—434no—
1489C2×D4—438no—
1490C2×D4—438no—
1491C2×D4—434no—
1492C2×D4—432no—
1493C2×D4—432no—
1494C2×D4—432no—
1495C2×D4—432no—
1496C2×D4—432no—
1497C2×D4—432no—
1498C2×D4—432no—
1499C2×D4—432no—
1500C2×D4—438no—
1501C2×D4—434no—
1502C2×D4—434no—
1503C2×D4—438no—
1504C2×D4—432no—
1505C2×D4—438no—
1506C2×D4—434no—
1507C2×D4—1724no—
1508C2×D4—1724no—
1509C2×D4—1728no—
1510C2×D4—1724no—
1511C2×D4—1728no—
1512C2×D4—1728no—
1513C2×D4—17216no—
1514C2×D4—1728no—
1515C2×D4—17216no—
1516C2×D4C23×D4314yes—
1517C2×D4C23×D4312yes—
1518C2×D4C23×D4312yes—
1519C2×D4C23×D4314yes—
1520C22×C4—24no—
1521C22×C4—42no—
1522C22×C4—44no—
1523C22×C4—42no—
1524C22×C4—434no—
1525C22×C4—438no—
1526C22×C4—434no—
1527C22×C4—434no—
1528C22×C4—434no—
1529C22×C4—434no—
1530C22×C4—434no—
1531C22×C4—434no—
1532C22×C4—438no—
1533C22×C4—438no—
1534C22×C4—438no—
1535C22×C4—438no—
1536C22×C4—434no—
1537C22×C4—1728no—
1538C22×C4C23×D4311yescharacteristic
1539C22×C4C23×D4311yescharacteristic
1540C22×C4C23×D4311yescharacteristic
1541C22×C4C23×D4311yescharacteristic
1542C22×C4C23×D4311yescharacteristic
1543C22×C4C23×D4311yescharacteristic
1544C22×C4C23×D4311yescharacteristic
1545C22×C4C23×D4311yescharacteristic
1546C22×C4C23×D4311yescharacteristic
1547C22×C4C23×D4311yescharacteristic
1548C22×C4C23×D4312yes—
1549C22×C4C23×D4314yes—
1550C22×C4C23×D4311yescharacteristic
1551C22×C4C23×D4311yescharacteristic
1552C22×C4C23×D4311yescharacteristic
1553C22×C4C23×D4311yescharacteristic
1554C22×C4C23×D4311yescharacteristic
1555C22×C4C23×D4311yescharacteristic
1556C22×C4C23×D4311yescharacteristic
1557C22×C4C23×D4312yes—
1558C22×C4C23×D4314yes—
1559C22×C4C23×D4312yes—
1560C22×C4C23×D4311yescharacteristic
1561C4⋊C4—432no—
1562C4⋊C4—432no—
1563C4⋊C4—432no—
1564C4⋊C4—432no—
1565C4⋊C4—434no—
1566C4⋊C4—438no—
1567C4⋊C4—432no—
1568C4⋊C4—432no—
1569C4⋊C4—434no—
1570C4⋊C4—434no—
1571C4⋊C4—432no—
1572C4⋊C4—438no—
1573C4⋊C4—438no—
1574C4⋊C4—438no—
1575C4⋊C4—432no—
1576C4⋊C4—434no—
1577C4⋊C4—438no—
1578C4⋊C4—438no—
1579C4⋊C4—434no—
1580C4⋊C4—434no—
1581C4⋊C4—434no—
1582C4⋊C4—434no—
1583C4⋊C4—432no—
1584C4⋊C4—432no—
1585C4⋊C4C23×D4312yes—
1586C4⋊C4C23×D4312yes—
1587C4⋊C4C23×D4314yes—
1588C4⋊C4C23×D4314yes—
1589C4⋊C4C23×D4314yes—
1590C4⋊C4C23×D4314yes—
1591C4⋊C4C23×D4314yes—
1592C4⋊C4C23×D4312yes—
1593C4⋊C4C23×D4312yes—
1594C4⋊C4C23×D4314yes—
1595C4⋊C4C23×D4314yes—
1596C4⋊C4C23×D4314yes—
1597C22⋊C4—434no—
1598C22⋊C4—438no—
1599C22⋊C4—438no—
1600C22⋊C4—434no—
1601C22⋊C4—434no—
1602C22⋊C4—434no—
1603C22⋊C4—434no—
1604C22⋊C4—434no—
1605C22⋊C4—434no—
1606C22⋊C4—434no—
1607C22⋊C4—438no—
1608C22⋊C4—438no—
1609C22⋊C4—434no—
1610C22⋊C4—434no—
1611C22⋊C4—434no—
1612C22⋊C4—434no—
1613C22⋊C4—438no—
1614C22⋊C4—438no—
1615C22⋊C4—438no—
1616C22⋊C4—434no—
1617C22⋊C4—438no—
1618C22⋊C4—434no—
1619C22⋊C4—434no—
1620C22⋊C4—434no—
1621C22⋊C4—434no—
1622C22⋊C4—438no—
1623C22⋊C4—438no—
1624C22⋊C4C23×D4314yes—
1625C22⋊C4C23×D4314yes—
1626C22⋊C4C23×D4314yes—
1627C22⋊C4C23×D4314yes—
1628C22⋊C4C23×D4314yes—
1629C22⋊C4C23×D4314yes—
1630C22⋊C4C23×D4314yes—
1631C22⋊C4C23×D4314yes—
1632C22⋊C4C23×D4314yes—
1633C22⋊C4C23×D4314yes—
1634C42—434no—
1635C42—434no—
1636C42—434no—
1637C42—438no—
1638C42—438no—
1639C42C23×D4311yescharacteristic
1640C42C23×D4311yescharacteristic
1641C42C23×D4311yescharacteristic
1642C42C23×D4311yescharacteristic
1643C42C23×D4311yescharacteristic
1644C42C23×D4311yescharacteristic
1645C42C23×D4311yescharacteristic
1646C42C23×D4311yescharacteristic
1647C42C23×D4311yescharacteristic
1648C42C23×D4311yescharacteristic
1649C42C23×D4311yescharacteristic
1650C42C23×D4311yescharacteristic
1651C42C23×D4311yescharacteristic
1652C42C23×D4311yescharacteristic
1653C42C23×D4311yescharacteristic
1654C42C23×D4311yescharacteristic
1655C42C23×D4314yes—
1656C42C23×D4314yes—
1657C23—22no—
1658C23—22no—
1659C23—24no—
1660C23—41no—
1661C23—42no—
1662C23—42no—
1663C23—434no—
1664C23—434no—
1665C23—434no—
1666C23—868no—
1667C23—1724no—
1668C23—1724no—
1669C23—1728no—
1670C23—1728no—
1671C23—1728no—
1672C23C24×D4314yes—
1673C23C24×D4311yescharacteristic
1674C23C24×D4311yescharacteristic
1675C23C24×D4311yescharacteristic
1676Q8—24no—
1677Q8—24no—
1678Q8—864no—
1679Q8—864no—
1680Q8—864no—
1681Q8—864no—
1682Q8—1728no—
1683Q8—1724no—
1684Q8—1722no—
1685D4—28no—
1686D4—24no—
1687D4—24no—
1688D4—44no—
1689D4—868no—
1690D4—868no—
1691D4—868no—
1692D4—868no—
1693D4—864no—
1694D4—864no—
1695D4—864no—
1696D4—864no—
1697D4—864no—
1698D4—864no—
1699D4—1724no—
1700D4—1728no—
1701D4—1724no—
1702D4—1722no—
1703D4—1724no—
1704D4—1722no—
1705D4—1728no—
1706D4—1728no—
1707D4—1722no—
1708D4—1728no—
1709D4—1728no—
1710D4—1724no—
1711D4—1724no—
1712D4—1728no—
1713D4—1724no—
1714D4—1728no—
1715C2×C4—22no—
1716C2×C4—24no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—22no—
1724C2×C4—22no—
1725C2×C4—28no—
1726C2×C4—22no—
1727C2×C4—41no—
1728C2×C4—44no—
1729C2×C4—41no—
1730C2×C4—41no—
1731C2×C4—41no—
1732C2×C4—41no—
1733C2×C4—42no—
1734C2×C4—41no—
1735C2×C4—41no—
1736C2×C4—42no—
1737C2×C4—434no—
1738C2×C4—434no—
1739C2×C4—434no—
1740C2×C4—434no—
1741C2×C4—434no—
1742C2×C4—868no—
1743C2×C4—868no—
1744C2×C4—868no—
1745C2×C4—1724no—
1746C2×C4—1724no—
1747C2×C4—1728no—
1748C2×C4—1728no—
1749C2×C4—1728no—
1750C2×C4—1724no—
1751C2×C4—1724no—
1752C2×C4—1728no—
1753C2×C4—1724no—
1754C2×C4—1728no—
1755C2×C4#1306337114yes—
1756C2×C4C24×D4311yescharacteristic
1757C2×C4C24×D4311yescharacteristic
1758C2×C4C24×D4314yes—
1759C2×C4C24×D4314yes—
1760C2×C4C24×D4311yescharacteristic
1761C2×C4C24×D4311yescharacteristic
1762C2×C4C24×D4311yescharacteristic
1763C2×C4C24×D4311yescharacteristic
1764C2×C4C24×D4311yescharacteristic
1765C2×C4C24×D4311yescharacteristic
1766C2×C4C24×D4311yescharacteristic
1767C2×C4C24×D4314yes—
1768C2×C4C24×D4311yescharacteristic
1769C2×C4C24×D4311yescharacteristic
1770C2×C4C24×D4311yescharacteristic
1771C22—21no—
1772C22—21no—
1773C22—21no—
1774C22—21no—
1775C22—21no—
1776C22—24no—
1777C22—21no—
1778C22—24no—
1779C22—21no—
1780C22—24no—
1781C22—44no—
1782C22—84no—
1783C22—864no—
1784C22—864no—
1785C22—864no—
1786C22—864no—
1787C22—864no—
1788C22—864no—
1789C22—864no—
1790C22—864no—
1791C22—864no—
1792C22—3448no—
1793C22—6888no—
1794C22C2×#1306337112yes—
1795C22#1458373512yes—
1796C22C25×D4311yescharacteristic
1797C4—21no—
1798C4—21no—
1799C4—24no—
1800C4—21no—
1801C4—21no—
1802C4—21no—
1803C4—24no—
1804C4—21no—
1805C4—21no—
1806C4—21no—
1807C4—21no—
1808C4—24no—
1809C4—864no—
1810C4—864no—
1811C4—864no—
1812C4—864no—
1813C4—864no—
1814C4C2×#1306337112yes—
1815C4C2×#1306337112yes—
1816C4#1458373512yes—
1817C2—22no—
1818C2—22no—
1819C2—41no—
1820C2—44no—
1821C2—1724no—
1822C2—1724no—
1823C2—1724no—
1824C2C22×#1306337111yescharacteristic
1825C2C2×#1458373511yescharacteristic
1826C2C2×#1458373511yescharacteristic
subgroupG/H
center, FrattiniC22C25×D43
commutator, socle, cosocleC22×C43C26
FittingC2×C43×#529C2
hypercenterC2×#529D43
hypocenterC43#62830
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C22 ◁ C2×#529

Complements

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

NH ≅ G/Ntype
1. #19149175C2semidirect
2. #19149147C2semidirect
3. #19149032C2semidirect
4. #19149017C2semidirect
5. #19148986C2semidirect
6. #19148969C2semidirect
7. #19148925C2semidirect
8. #19148789C2semidirect
9. #19148646C2semidirect
10. #19148629C2semidirect
11. #19148627C2semidirect
12. #19148599C2semidirect
13. #19148558C2semidirect
14. #19148544C2semidirect
15. #19148519C2semidirect
16. #19148460C2semidirect
17. #19148447C2semidirect
18. #19148430C2semidirect
19. #19148385C2semidirect
20. #19148366C2semidirect
21. #19148359C2semidirect
22. #19148330C2semidirect
23. #19148271C2semidirect
24. #19148260C2semidirect
25. #19147891C2semidirect
26. C2×#14583449C2semidirect
27. C2×C43×#529C2semidirect
28. C2×#13063373C22semidirect
29. C2×#13063370C22semidirect
30. C22×#10621898C22semidirect
31. #14583651C22semidirect
32. #14583646C22semidirect
33. #14583640C22semidirect
34. #14583639C22semidirect
35. #14583634C22semidirect
36. #14583632C22semidirect
37. #14583627C22semidirect
38. #14583622C22semidirect
39. #14583621C22semidirect
40. #14583619C22semidirect
41. #14583614C22semidirect
42. #14583614C22semidirect
43. #14583612C22semidirect
44. #14583609C22semidirect
45. #14583606C22semidirect
46. #14583602C22semidirect
47. #14583602C22semidirect
48. #14583600C22semidirect
49. #14583599C22semidirect
50. #14583597C22semidirect
51. #14583597C22semidirect
52. #14583595C22semidirect
53. #14583595C22semidirect
54. #14583593C22semidirect
55. #14583590C22semidirect
56. #14583587C22semidirect
57. #14583587C22semidirect
58. #14583574C22semidirect
59. #14583573C22semidirect
60. #14583573C22semidirect
61. #14583572C22semidirect
62. #14583571C22semidirect
63. #14583571C22semidirect
64. #14583570C22semidirect
65. #14583570C22semidirect
66. #14583567C22semidirect
67. Q8×D172C22semidirect
68. Q8×D172C22semidirect
69. #14583562C22semidirect
70. #14583561C22semidirect
71. #14583561C22semidirect
72. #14583559C22semidirect
73. #14583557C22semidirect
74. #14583557C22semidirect
75. #14583555C22semidirect
76. #14583554C22semidirect
77. #14583553C22semidirect
78. #14583553C22semidirect
79. #14583551C22semidirect
80. #14583550C22semidirect
81. #14583546C22semidirect
82. #14583545C22semidirect
83. #14583545C22semidirect
84. #14583544C22semidirect
85. #14583544C22semidirect
86. #14583542C22semidirect
87. #14583542C22semidirect
88. #14583541C22semidirect
89. #14583540C22semidirect
90. #14583539C22semidirect
91. #14583539C22semidirect
92. #14583539C22semidirect
93. #14583539C22semidirect
94. D4×D172C22semidirect
95. D4×D172C22semidirect
96. D4×D172C22semidirect
97. #14583533C22semidirect
98. D4×C22⋊D43C22semidirect
99. #14583527C22semidirect
100. #14583520C22semidirect
101. #14583520C22semidirect
102. #14583515C22semidirect
103. #14583512C22semidirect
104. #14583505C22semidirect
105. #14583504C22semidirect
106. #14583504C22semidirect
107. #14583501C22semidirect
108. #14583500C22semidirect
109. #14583496C22semidirect
110. #14583493C22semidirect
111. #14583490C22semidirect
112. #14583488C22semidirect
113. #14583488C22semidirect
114. #14583487C22semidirect
115. #14583485C22semidirect
116. #14583482C22semidirect
117. #14583482C22semidirect
118. #14583480C22semidirect
119. #14583480C22semidirect
120. #14583480C22semidirect
121. #14583479C22semidirect
122. #14583478C22semidirect
123. #14583473C22semidirect
124. #14583472C22semidirect
125. #14583469C22semidirect
126. #14583468C22semidirect
127. #14583467C22semidirect
128. #14583466C22semidirect
129. #14583465C22semidirect
130. #14583461C22semidirect
131. #14583460C22semidirect
132. #14583456C22semidirect
133. #14583456C22semidirect
134. #14583456C22semidirect
136. #14583449C22semidirect
137. #14583449C22semidirect
138. #14583449C22semidirect
139. #14583449C22semidirect
140. #14583449C22semidirect
141. #14583449C22semidirect
142. #14583449C22semidirect
143. #14583449C22semidirect
144. #14583449C22semidirect
145. #14583449C22semidirect
146. #14583449C22semidirect
147. #14583449C22semidirect
148. #14583449C22semidirect
149. #14583448C22semidirect
150. C2×#13063325C22semidirect
151. C2×#13063322C22semidirect
152. #14583434C22semidirect
153. #14583434C22semidirect
154. #14583433C22semidirect
155. #14583433C22semidirect
156. #14583433C22semidirect
157. #14583433C22semidirect
158. #14583433C22semidirect
159. #14583433C22semidirect
160. #14583433C22semidirect
161. C2×#13063313C22semidirect
162. #124×D43C22semidirect
163. #14583412C22semidirect
164. #14583410C22semidirect
165. #14583410C22semidirect
166. #14583410C22semidirect
167. #14583410C22semidirect
168. #14583409C22semidirect
169. C22⋊Q8×D43C22semidirect
170. C2×#13063299C22semidirect
171. C2×#13063299C22semidirect
172. C2×#13063299C22semidirect
173. #121×D43C22semidirect
174. #14583380C22semidirect
175. #14583380C22semidirect
176. #14583379C22semidirect
177. #14583373C22semidirect
178. #14583371C22semidirect
179. C4×#10621898C22semidirect
180. C4×#10621898C22semidirect
181. C4×#10621898C22semidirect
182. C2×C4×D172C22semidirect
183. C2×C4×D172C22semidirect
184. C43×#529C22semidirect
185. C43×#529C22semidirect
186. C43×#529C22semidirect
187. C43×#529C22semidirect
188. C43×#529C22semidirect
189. C43×#529C22semidirect
190. C43×#529C22semidirect
191. C43×#529C22semidirect
192. C2×#126×C43C22semidirect
193. C2×#125×C43C22semidirect
194. C2×#124×C43C22semidirect
195. C2×#123×C43C22semidirect
196. C2×C22⋊Q8×C43C22semidirect
198. C2×C4×Q8×C43C22semidirect
199. C2×C4×D4×C43C22semidirect
200. C2×C4×D4×C43C22semidirect
201. C2×#117×C43C22semidirect
202. C22×C42×C43C22semidirect
930. C2×#529D43semidirect
1074. #529C2×D43semidirect
1075. #529C2×D43semidirect
1076. #529C2×D43semidirect
1077. #529C2×D43semidirect
1078. #529C2×D43semidirect
1079. #529C2×D43semidirect
1080. #529C2×D43semidirect
1081. #529C2×D43semidirect
1082. C2×#126C2×D43semidirect
1083. C2×#125C2×D43semidirect
1086. C2×#124C2×D43semidirect
1093. C2×#123C2×D43semidirect
1095. C2×C22⋊Q8C2×D43semidirect
1109. C2×C4×Q8C2×D43semidirect
1112. C2×C4×D4C2×D43semidirect
1113. C2×C4×D4C2×D43semidirect
1114. C2×#117C2×D43semidirect
1115. C22×C42C2×D43semidirect
1116. C43#62830semidirect

Maximal subgroups

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

subgroupindex
#191491752
#191491472
#191490322
#191490172
#191489862
#191489692
#191489252
#191487892
#191486462
#191486292
#191486272
#191485992
#191485582
#191485442
#191485192
#191484602
#191484472
#191484302
#191483852
#191483662
#191483592
#191483302
#191482712
#191482602
#191478912
C2×#145834492
C2×C43×#5292
#6283043