Finite Group Databasebeta

← #41×#10621902 #26003711

Subgroups — #41×#10621902 #26003711

Order 11008.

7812 conjugacy classes of subgroups.

The subgroup lattice has 742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148222C211yesmaximal, characteristic, complemented
2#19148216C213yesmaximal, complemented
3#19148215C213yesmaximal, complemented
4#19148206C219yesmaximal, complemented
5#19148195C213yesmaximal, complemented
6#19148190C213yesmaximal, complemented
7Q8×#10621902C211yesmaximal, characteristic, complemented
8#19148162C219yesmaximal, complemented
9#19148161C219yesmaximal, complemented
10D4×#10621902C213yesmaximal, complemented
11#41×D172C213yesmaximal, complemented
12#19147892C219yesmaximal, complemented
13C2×C4×#10621902C213yesmaximal, complemented
14C4×#41×D43C213yesmaximal, complemented
15Q8×#41×C43C211yesmaximal, characteristic, complemented
16C22×#10621902C2213yes—
17C2×#41×D43C2213yes—
18#14583634C2219yescomplemented
19#14583628C2213yescomplemented
20#14583623C2219yescomplemented
21#14583622C2219yescomplemented
22#14583615C2219yescomplemented
23#14583610C2219yescomplemented
24#14583602C22118yescomplemented
25#14583597C22118yescomplemented
26#14583591C22118yescomplemented
27#14583587C22118yescomplemented
28#14583576C22136yescomplemented
29#14583571C2213yescomplemented
30#14583571C2213yescomplemented
31Q8×D172C2213yescomplemented
32#14583561C2216yescomplemented
33#14583560C2216yescomplemented
34#14583553C2219yescomplemented
35#14583552C2219yescomplemented
36#14583544C22118yescomplemented
37#14583540C22118yescomplemented
38D4×D172C2219yescomplemented
39#14583454C2219yescomplemented
40#14583454C2219yescomplemented
41#14583450C2219yescomplemented
42#14583450C2219yescomplemented
43#14583449C2219yescomplemented
44#14583436C22118yescomplemented
45#14583436C22118yescomplemented
46#14583435C22118yescomplemented
47#14583435C22118yescomplemented
48#14583434C22118yescomplemented
49#14583434C22118yescomplemented
50#14583412C22118yescomplemented
51#14583412C22118yescomplemented
52#14583411C22118yescomplemented
53#41×Dic43C2211yescharacteristic
54C4×#10621902C2211yescharacteristic
55C4×#10621902C2213yes—
56C4×#10621902C2219yescomplemented
57C4×#10621902C2219yescomplemented
58C4×#10621902C2219yescomplemented
59C4×#10621902C2213yescomplemented
60C4×#10621902C2219yescomplemented
61C4×#10621902C2213yescomplemented
62C4×#10621902C2216yescomplemented
63C4×#10621902C2213yescomplemented
64C4×#10621902C2213yescomplemented
65C4×#10621898C2219yescomplemented
66#14583367C2219yescomplemented
67C4×#10621900C2219yescomplemented
68C4×#10621900C2219yescomplemented
69C2×Q8×Dic43C2213yescomplemented
70C4×Q8×D43C2213yescomplemented
71C4×Q8×D43C2213yescomplemented
72C2×C4×D172C2219yescomplemented
73C2×#13063287C2219yescomplemented
74C4×D4×D43C2219yescomplemented
75C4×D4×D43C2219yescomplemented
76C2×#13063283C2219yescomplemented
77#117×D43C2219yescomplemented
78C2×C42×D43C2219yescomplemented
79Q82×C43C2211yescharacteristic, complemented
80C43×#557C2213yescomplemented
81C43×#554C2219yescomplemented
82D4×Q8×C43C2213yescomplemented
83C43×#533C2219yescomplemented
84C4×#41×C43C2213yes—
85C2×C4×Q8×C43C2213yescomplemented
86C2×#10621902—224no—
87C2×#10621902C2319yes—
88C2×#10621902C2313yes—
89C2×#10621902C2313yes—
90C2×#10621902C2319yes—
91C2×#10621902C2316yes—
92C2×#10621902C2311yescharacteristic
93C2×#10621898C2319yes—
94C2×#10621900C2319yes—
95#41×D43—224no—
96C2×Q8×D43C2313yes—
97C22×D172C2319yes—
98C2×D4×D43C2319yes—
99C22×C4×D43C2319yes—
100C22×C4×D43C2319yes—
101C22×C4×D43C2319yes—
102#13063325C2319yes—
103#13063322C2319yes—
104#13063320C23136yes—
105#13063320C23136yes—
106#13063316C23118yes—
107#13063316C23118yes—
108#13063314C23118yes—
109#13063314C23118yes—
110#13063313C23118yes—
111#13063310C23136yes—
112#13063310C23136yes—
113#13063309C23136yes—
114#13063305C23118yes—
115#13063305C23118yes—
116#13063301C23118yes—
117#13063301C23118yes—
118#13063300C23118yes—
119#13063300C23118yes—
120#13063300C23118yes—
121#13063300C23118yes—
122#13063299C23118yes—
123#13063299C23118yes—
124#13063295C23136yes—
125Q8×Dic43C2313yes—
126Q8×Dic43C2319yes—
127Q8×Dic43C2311yescharacteristic
128Q8×Dic43C2311yescharacteristic
129Q8×Dic43C2311yescharacteristic
130Q8×Dic43C2319yes—
131Q8×Dic43C2316yes—
132C4×Dic86C2319yes—
133C4×Dic86C2319yes—
134#13063290C2319yes—
135#13063290C2319yes—
136C4×D172C2319yes—
137C4×D172C2319yes—
138C4×D172C2319yes—
139C4×D172C23118yes—
140C4×D172C2319yes—
141C4×D172C2313yes—
142C4×D172C23118yes—
143C4×D172C2319yes—
144C4×D172C23118yes—
145D4×Dic43C2313yes—
146D4×Dic43C2313yes—
147#13063287C23118yes—
148#13063287C2319yes—
149#13063287C2319yes—
150#13063287C2319yes—
151#13063287C2319yes—
152#13063287C2313yes—
153#13063287C23118yes—
154#13063287C2319yes—
155#13063287C23118yes—
156C4×C22⋊D43C23118yes—
157C4×C22⋊D43C23118yes—
158(C22⋊D43)⋊C4C23118yes—
159(C22⋊D43)⋊C4C23118yes—
160#13063284C2313yes—
161#13063283C23118yes—
162#13063283C2319yes—
163#13063283C2319yes—
164#13063283C2319yes—
165#13063283C2319yes—
166#13063283C2313yes—
167#13063283C2319yes—
168#13063283C23118yes—
169#13063283C23118yes—
170#13063282C23118yes—
171#13063281C23118yes—
172C2×C4⋊Dic43C2319yes—
173C4⋊C4×D43C2319yes—
174C4⋊C4×D43C2319yes—
175C2×(C2×D43)⋊C4C23118yes—
176C22⋊C4×D43C23118yes—
177C2×C4×Dic43C2313yes—
178C2×C4×Dic43C2319yes—
179C2×C4×Dic43C2319yes—
180C42×D43C2313yes—
181C42×D43C2319yes—
182C42×D43C2319yes—
183C42×D43C2319yes—
184C42×D43C2319yes—
185C42×D43C2319yes—
186C42×D43C2319yes—
187C42×D43C2319yes—
188C2×#41×C43C2311yescharacteristic
189C22×Q8×C43C2313yes—
190C4⋊Q8×C43C2319yes—
191C4⋊Q8×C43C2319yes—
192#125×C43C23118yes—
193C22⋊Q8×C43C23118yes—
194C22⋊Q8×C43C23118yes—
195C4×Q8×C43C2313yes—
196C4×Q8×C43C2313yes—
197C4×Q8×C43C2311yescharacteristic
198C4×Q8×C43C2313yes—
199C4×Q8×C43C2319yes—
200C4×Q8×C43C2319yes—
201C4×Q8×C43C2316yes—
202C4×D4×C43C2319yes—
203C4×D4×C43C2319yes—
204#117×C43C2319yes—
205C2×C4⋊C4×C43C2319yes—
206C2×C42×C43C2319yes—
207C23×D43C2419yes—
208#41×C43#4118yescomplemented
209C2×Q8×C43—212no—
210C2×Q8×C43C2419yes—
211C2×Q8×C43C2416yes—
212C2×Q8×C43C2411yescharacteristic
213C2×Q8×C43C2411yescharacteristic
214C2×D4×C43C2413yes—
215C22×C4×C43C2419yes—
216C22×C4×C43C2419yes—
217C22×C4×C43C2413yes—
218C2×C22⋊D43C24118yes—
219C22×Dic43C2413yes—
220C22×Dic43C2413yes—
221C22×Dic43C2419yes—
222#10621902—212no—
223#10621902—212no—
224#10621902—236no—
225#10621902—236no—
226#10621902—412no—
227#10621902#4118yesdirect product factor
228Q8×D43—212no—
229#10621900—236no—
230D4×D43—236no—
231#10621898—236no—
232C2×D172—236no—
233C2×D172C24118yes—
234C2×D172C2419yes—
235C2×D172C2419yes—
236C2×D172C24118yes—
237C2×D172C2413yes—
238C2×C4×D43—236no—
239C2×C4×D43—236no—
240C2×C4×D43—418no—
241C2×C4×D43C2413yes—
242C2×C4×D43C2413yes—
243C2×C4×D43C2419yes—
244C2×C4×D43C2419yes—
245C2×C4×D43C2419yes—
246C2×C4×D43C2419yes—
247C2×C4×D43C2419yes—
248C2×C4×D43C2419yes—
249C2×C4×D43C2419yes—
250C2×C4×D43C2419yes—
251C2×C4×D43C2419yes—
252C2×C4×D43C2413yes—
253C2×Dic86C2419yes—
254C4⋊C4×C43C2413yes—
255C4⋊C4×C43C24118yes—
256C4⋊C4×C43C2419yes—
257C4⋊C4×C43C2419yes—
258C4⋊C4×C43C2419yes—
259C4⋊C4×C43C24118yes—
260C22⋊C4×C43C24118yes—
261C42×C43C2413yes—
262C42×C43C2419yes—
263C42×C43C2419yes—
264C42×C43C2419yes—
265C22⋊Dic43C2416yes—
266(C2×D43)⋊C4C24118yes—
267(C2×D43)⋊C4C24118yes—
268(C2×D43)⋊C4C2416yes—
269(C2×D43)⋊C4C24118yes—
270(C2×D43)⋊C4C24118yes—
271(C2×D43)⋊C4C24118yes—
272(C2×D43)⋊C4C24136yes—
273C4⋊Dic43C2413yes—
274C4⋊Dic43C2413yes—
275C4⋊Dic43C2413yes—
276C4⋊Dic43C2419yes—
277C4⋊Dic43C24118yes—
278C4⋊Dic43C24118yes—
279Dic43⋊C4C24118yes—
280Dic43⋊C4C24118yes—
281C4×Dic43C2411yescharacteristic
282C4×Dic43C2413yes—
283C4×Dic43C2413yes—
284C4×Dic43C2413yes—
285C4×Dic43C2413yes—
286C4×Dic43C2413yes—
287C4×Dic43C2419yes—
288C4×Dic43C2419yes—
289C4×Dic43C2419yes—
290C4×Dic43C2419yes—
291C4×Dic43C2419yes—
292C4×Dic43C2419yes—
293C23×C43C2513yes—
294C22×D43—218no—
295C22×D43—218no—
296C22×D43—49no—
297C22×D43C2519yes—
298C22×D43C2513yes—
299Q8×C43—218no—
300Q8×C43—46no—
301Q8×C43C2×#4114yescomplemented
302Q8×C43C2×#4114yescomplemented
303D4×C43C2×#41112yescomplemented
304C2×C4×C43—218no—
305C2×C4×C43—49no—
306C2×C4×C43C2×#41112yescomplemented
307C2×C4×C43C2513yes—
308C2×C4×C43C2519yes—
309C2×C4×C43C2519yes—
310C2×C4×C43C2513yes—
311C2×C4×C43C2513yes—
312C2×C4×C43C2511yescharacteristic
313C22⋊D43—236no—
314C2×Dic43—218no—
315C2×Dic43—26no—
316C2×Dic43—26no—
317C2×Dic43C2513yes—
318C2×Dic43C2513yes—
319C2×Dic43C2513yes—
320C2×Dic43C2519yes—
321C2×Dic43C2511yescharacteristic
322C2×Dic43C2511yescharacteristic
323D172—236no—
324D172—218no—
325D172—218no—
326D172—418no—
327D172C2×#41112yescomplemented
328C4×D43—218no—
329C4×D43—26no—
330C4×D43—218no—
331C4×D43—218no—
332C4×D43—218no—
333C4×D43—218no—
334C4×D43—218no—
335C4×D43—26no—
336C4×D43—218no—
337C4×D43—49no—
338C4×D43—49no—
339C4×D43C2×#41112yescomplemented
340Dic86—218no—
341#412—431nomaximal, Sylow
342C22×C43—23no—
343C22×C43—23no—
344C22×C43C22×#4116yes—
345C22×C43C2611yescharacteristic
346C2×D43—23no—
347C2×D43—23no—
348C2×D43—29no—
349C2×D43—29no—
350C2×D43—29no—
351C2×D43—436no—
352C2×D43C22×#4116yes—
353C4×C43—29no—
354C4×C43—23no—
355C4×C43—29no—
356C4×C43C22×#4116yes—
357C4×C43C22×#4116yes—
358C4×C43C22×#4112yes—
359Dic43—29no—
360Dic43—23no—
361Dic43—23no—
362Dic43—23no—
363Dic43C22×#4112yes—
364Dic43#58512yes—
365#3483—431no—
366#3482—433no—
367#3482—433no—
368#3481—439no—
369#3480—433no—
370#3480—433no—
371Q8×#41—431no—
372Q8×#41D4311yescharacteristic, complemented
373#3475—439no—
374#3475—439no—
375D4×#41—433no—
376D4×#41—433no—
377#3444—439no—
378C2×C4×#41—433no—
379C2×C4×#41—433no—
380C2×C43—26no—
381C2×C43C23×#4111yescharacteristic
382C2×C43C23×#4111yescharacteristic
383C2×C43C2×#58511yescharacteristic
384D43—26no—
385D43—49no—
386C22×#41—433no—
387C22×#41—433no—
388#559—439no—
389Q82C2×D4311yescharacteristic, complemented
390#557—433no—
391#557C2×D4313yescomplemented
392#556—439no—
393#556—439no—
394#555—439no—
395#554—439no—
396#554C2×D4319yescomplemented
397#553—4318no—
398#553—4318no—
399#552—4318no—
400#552—4318no—
401#551—4336no—
402#550—433no—
403#550—433no—
404D4×Q8—433no—
405D4×Q8C2×D4313yescomplemented
406#548—436no—
407#548—436no—
408#547—439no—
409#547—439no—
410#546—4318no—
411#546—4318no—
412D42—439no—
413#533—439no—
414#533—439no—
415#533C2×D4319yescomplemented
416#532—439no—
417#532—439no—
418#532—439no—
419#529—4318no—
420#529—4318no—
421#529—4318no—
422#529—4318no—
423#529—4318no—
424#529—4318no—
425#525—4318no—
426#525—4318no—
427#525—4318no—
428C4×#41—431no—
429C4×#41—431no—
430C4×#41—433no—
431C4×#41—439no—
432C4×#41—439no—
433C4×#41—439no—
434C4×#41—433no—
435C4×#41—433no—
436C4×#41—439no—
437C4×#41—433no—
438C4×#41—433no—
439C4×#41—436no—
440C4×#41—439no—
441C4×#41—439no—
442C4×#41—439no—
443C4×#41—439no—
444C4×#41C2×D4313yes—
445C2×C4×Q8—433no—
446C2×C4×Q8—433no—
447C2×C4×Q8—433no—
448C2×C4×Q8C2×D4313yescomplemented
449C2×C4×D4—439no—
450C2×C4×D4—439no—
451C2×C4×D4—439no—
452C2×C4×D4—439no—
453C2×#117—439no—
454C2×#117—439no—
455C22×C42—439no—
456C43#41211yescharacteristic, complemented, Sylow
457C2×#41—431no—
458C2×#41—439no—
459C2×#41—439no—
460C2×#41—433no—
461C2×#41—433no—
462C2×#41—436no—
463C2×#41—439no—
464C2×#41—439no—
465C2×#41—8624no—
466C2×#41—8624no—
467C2×#41C22×D4311yescharacteristic
468C22×Q8—433no—
469C22×Q8C22×D4313yes—
470C22×D4—439no—
471C22×D4—439no—
472C23×C4—439no—
473C23×C4—439no—
474C23×C4—439no—
475C4⋊Q8—439no—
476C4⋊Q8C22×D4319yes—
477C4⋊Q8C22×D4319yes—
478#127—439no—
479#126—4336no—
480#126—4336no—
481#125—4318no—
482#125—4318no—
483#125C22×D43118yes—
484#124—4318no—
485#124—4318no—
486#124—4318no—
487#123—4336no—
488#123—4336no—
489#123—4336no—
490C22⋊Q8—4318no—
491C22⋊Q8—4318no—
492C22⋊Q8—4318no—
493C22⋊Q8—4318no—
494C22⋊Q8C22×D43118yes—
495C22⋊Q8C22×D43118yes—
496#121—4318no—
497#121—4318no—
498#121—4318no—
499#121—4318no—
500#121—4318no—
501#121—4318no—
502#120—4336no—
503C4×Q8—431no—
504C4×Q8—431no—
505C4×Q8—431no—
506C4×Q8—439no—
507C4×Q8—433no—
508C4×Q8—439no—
509C4×Q8—436no—
510C4×Q8—439no—
511C4×Q8—439no—
512C4×Q8—439no—
513C4×Q8—439no—
514C4×Q8C22×D4313yes—
515C4×Q8C22×D4313yes—
516C4×Q8C22×D4311yescharacteristic
517C4×Q8C22×D4319yes—
518C4×Q8C22×D4313yes—
519C4×Q8C22×D4319yes—
520C4×Q8C22×D4316yes—
521C4×D4—433no—
522C4×D4—433no—
523C4×D4—4318no—
524C4×D4—4318no—
525C4×D4—433no—
526C4×D4—4318no—
527C4×D4—439no—
528C4×D4—439no—
529C4×D4—439no—
530C4×D4—439no—
531C4×D4—4318no—
532C4×D4—439no—
533C4×D4—4318no—
534C4×D4—4318no—
535C4×D4—4318no—
536C4×D4—433no—
537C4×D4—4318no—
538C4×D4—439no—
539C4×D4—439no—
540C4×D4—4318no—
541C4×D4—439no—
542C4×D4—439no—
543C4×D4—439no—
544C4×D4—4318no—
545C4×D4C22×D4319yes—
546C4×D4C22×D4319yes—
547#117—433no—
548#117—433no—
549#117—439no—
550#117—4318no—
551#117—4318no—
552#117—439no—
553#117—439no—
554#117—439no—
555#117—439no—
556#117—4318no—
557#117—4318no—
558#117—4318no—
559#117C22×D4319yes—
560C2×C4⋊C4—439no—
561C2×C4⋊C4—439no—
562C2×C4⋊C4—439no—
563C2×C4⋊C4C22×D4319yes—
564C2×C22⋊C4—4318no—
565C2×C22⋊C4—4318no—
566C2×C42—439no—
567C2×C42—439no—
568C2×C42—433no—
569C2×C42—439no—
570C2×C42—439no—
571C2×C42—439no—
572C2×C42—439no—
573C2×C42—439no—
574C2×C42—439no—
575C2×C42—439no—
576C2×C42—433no—
577C2×C42C22×D4319yes—
578C24—439no—
579#41—438no—
580#41—8636no—
581#41—8636no—
582#41—8612no—
583#41—8612no—
584#41—8636no—
585#41—8636no—
586#41—17212no—
587#41#1062190218yesdirect product factor
588C2×Q8—212no—
589C2×Q8—439no—
590C2×Q8—8612no—
591C2×Q8C23×D4319yes—
592C2×Q8C23×D4316yes—
593C2×Q8C23×D4311yescharacteristic
594C2×Q8C23×D4311yescharacteristic
595C2×D4—4318no—
596C2×D4—433no—
597C2×D4—4318no—
598C2×D4—439no—
599C2×D4—439no—
600C2×D4—4318no—
601C2×D4—8636no—
602C2×D4—8636no—
603C2×D4C23×D4313yes—
604C22×C4—433no—
605C22×C4—433no—
606C22×C4—433no—
607C22×C4—439no—
608C22×C4—433no—
609C22×C4—439no—
610C22×C4—439no—
611C22×C4—439no—
612C22×C4—439no—
613C22×C4—439no—
614C22×C4—439no—
615C22×C4—433no—
616C22×C4—439no—
617C22×C4—439no—
618C22×C4—439no—
619C22×C4—8636no—
620C22×C4—8636no—
621C22×C4—17218no—
622C22×C4C23×D4319yes—
623C22×C4C23×D4319yes—
624C22×C4C23×D4313yes—
625C4⋊C4—433no—
626C4⋊C4—433no—
627C4⋊C4—433no—
628C4⋊C4—439no—
629C4⋊C4—4318no—
630C4⋊C4—4318no—
631C4⋊C4—4318no—
632C4⋊C4—4318no—
633C4⋊C4C23×D4319yes—
634C4⋊C4C23×D4319yes—
635C4⋊C4C23×D4313yes—
636C4⋊C4C23×D4319yes—
637C4⋊C4C23×D43118yes—
638C4⋊C4C23×D43118yes—
639C22⋊C4—436no—
640C22⋊C4—436no—
641C22⋊C4—4318no—
642C22⋊C4—4318no—
643C22⋊C4—4318no—
644C22⋊C4—4318no—
645C22⋊C4—4318no—
646C22⋊C4—4336no—
647C22⋊C4C23×D43118yes—
648C42—433no—
649C42—433no—
650C42—433no—
651C42—433no—
652C42—439no—
653C42—439no—
654C42—439no—
655C42—439no—
656C42—439no—
657C42—439no—
658C42—431no—
659C42—433no—
660C42C23×D4319yes—
661C42C23×D4319yes—
662C42C23×D4313yes—
663C42C23×D4319yes—
664C23—433no—
665C23—439no—
666C23—8618no—
667C23—8618no—
668C23—1729no—
669C23C24×D4313yes—
670Q8—218no—
671Q8—46no—
672Q8—8618no—
673Q8#41×D4314yescomplemented
674Q8C2×#1062190214yescomplemented
675D4—4312no—
676D4—8636no—
677D4—8636no—
678D4—8618no—
679D4—8618no—
680D4—17218no—
681D4C2×#10621902112yescomplemented
682C2×C4—218no—
683C2×C4—49no—
684C2×C4—431no—
685C2×C4—431no—
686C2×C4—4312no—
687C2×C4—433no—
688C2×C4—433no—
689C2×C4—433no—
690C2×C4—439no—
691C2×C4—8618no—
692C2×C4—866no—
693C2×C4—8618no—
694C2×C4—8618no—
695C2×C4—866no—
696C2×C4—866no—
697C2×C4—8618no—
698C2×C4—8618no—
699C2×C4—866no—
700C2×C4—8618no—
701C2×C4—8618no—
702C2×C4—8618no—
703C2×C4—1729no—
704C2×C4—1729no—
705C2×C4C2×#10621902112yescomplemented
706C2×C4C24×D4313yes—
707C2×C4C24×D4319yes—
708C2×C4C24×D4319yes—
709C2×C4C24×D4313yes—
710C2×C4C24×D4313yes—
711C2×C4C24×D4311yescharacteristic
712C22—23no—
713C22—23no—
714C22—436no—
715C22—863no—
716C22—863no—
717C22—869no—
718C22—869no—
719C22—869no—
720C22—17236no—
721C22C22×#1062190216yes—
722C22C25×D4311yescharacteristic
723C4—29no—
724C4—23no—
725C4—29no—
726C4—432no—
727C4—432no—
728C4—863no—
729C4—863no—
730C4—869no—
731C4—863no—
732C4C2×#41×D4316yes—
733C4C22×#1062190212yes—
734C4C22×#1062190216yes—
735C2—26no—
736C2—866no—
737C2—1729no—
738C2C22×#41×D4311yescharacteristic
739C2C23×#1062190211yescharacteristic
740C2#585×D4311yescharacteristic
subgroupG/H
centerC2×C4C24×D43
commutator, socle, cosocleC22×C43C26
FrattiniC22C25×D43
FittingQ8×#41×C43C2
hypercenterQ8×#41D43
hypocenterC43#412
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C2×C4 ◁ Q8×#41

Complements

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

NH ≅ G/Ntype
1. #19148222C2semidirect
2. #19148216C2semidirect
3. #19148215C2semidirect
4. #19148206C2semidirect
5. #19148195C2semidirect
6. #19148190C2semidirect
7. Q8×#10621902C2semidirect
8. #19148162C2semidirect
9. #19148161C2semidirect
10. D4×#10621902C2semidirect
11. #41×D172C2semidirect
12. #19147892C2semidirect
13. C2×C4×#10621902C2semidirect
14. C4×#41×D43C2semidirect
15. Q8×#41×C43C2semidirect
18. #14583634C22semidirect
19. #14583628C22semidirect
20. #14583623C22semidirect
21. #14583622C22semidirect
22. #14583615C22semidirect
23. #14583610C22semidirect
24. #14583602C22semidirect
25. #14583597C22semidirect
26. #14583591C22semidirect
27. #14583587C22semidirect
28. #14583576C22semidirect
29. #14583571C22semidirect
30. #14583571C22semidirect
31. Q8×D172C22semidirect
32. #14583561C22semidirect
33. #14583560C22semidirect
34. #14583553C22semidirect
35. #14583552C22semidirect
36. #14583544C22semidirect
37. #14583540C22semidirect
38. D4×D172C22semidirect
39. #14583454C22semidirect
40. #14583454C22semidirect
41. #14583450C22semidirect
42. #14583450C22semidirect
43. #14583449C22semidirect
44. #14583436C22semidirect
45. #14583436C22semidirect
46. #14583435C22semidirect
47. #14583435C22semidirect
48. #14583434C22semidirect
49. #14583434C22semidirect
50. #14583412C22semidirect
51. #14583412C22semidirect
52. #14583411C22semidirect
56. C4×#10621902C22semidirect
57. C4×#10621902C22semidirect
58. C4×#10621902C22semidirect
59. C4×#10621902C22semidirect
60. C4×#10621902C22semidirect
61. C4×#10621902C22semidirect
62. C4×#10621902C22semidirect
63. C4×#10621902C22semidirect
64. C4×#10621902C22semidirect
65. C4×#10621898C22semidirect
66. #14583367C22semidirect
67. C4×#10621900C22semidirect
68. C4×#10621900C22semidirect
69. C2×Q8×Dic43C22semidirect
70. C4×Q8×D43C22semidirect
71. C4×Q8×D43C22semidirect
72. C2×C4×D172C22semidirect
73. C2×#13063287C22semidirect
74. C4×D4×D43C22semidirect
75. C4×D4×D43C22semidirect
76. C2×#13063283C22semidirect
77. #117×D43C22semidirect
78. C2×C42×D43C22semidirect
79. Q82×C43C22semidirect
80. C43×#557C22semidirect
81. C43×#554C22semidirect
82. D4×Q8×C43C22semidirect
83. C43×#533C22semidirect
85. C2×C4×Q8×C43C22semidirect
208. #41×C43#41semidirect
227. #10621902#41direct (N × H)
301. Q8×C43C2×#41semidirect
302. Q8×C43C2×#41semidirect
303. D4×C43C2×#41semidirect
306. C2×C4×C43C2×#41semidirect
327. D172C2×#41semidirect
339. C4×D43C2×#41semidirect
372. Q8×#41D43semidirect
389. Q82C2×D43semidirect
391. #557C2×D43semidirect
396. #554C2×D43semidirect
405. D4×Q8C2×D43semidirect
415. #533C2×D43semidirect
448. C2×C4×Q8C2×D43semidirect
456. C43#412semidirect
587. #41#10621902direct (N × H)
673. Q8#41×D43semidirect
674. Q8C2×#10621902semidirect
681. D4C2×#10621902semidirect
705. C2×C4C2×#10621902semidirect

Maximal subgroups

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

subgroupindex
#191482222
#191482162
#191482152
#191482062
#191481952
#191481902
Q8×#106219022
#191481622
#191481612
D4×#106219022
#41×D1722
#191478922
C2×C4×#106219022
C4×#41×D432
Q8×#41×C432
#41243