Finite Group Databasebeta

← #26005443

Subgroups — #26005443

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#19149173C214yesmaximal, complemented
2#19149137C214yesmaximal, complemented
3#19149033C212yesmaximal, complemented
4#19149015C214yesmaximal, complemented
5#19148972C212yesmaximal, complemented
6#19148963C212yesmaximal, complemented
7#19148926C212yesmaximal, complemented
8#19148782C214yesmaximal, complemented
9#19148647C212yesmaximal, complemented
10#19148621C214yesmaximal, complemented
11#19148618C212yesmaximal, complemented
12#19148600C212yesmaximal, complemented
13#19148553C214yesmaximal, complemented
14#19148547C212yesmaximal, complemented
15#19148516C212yesmaximal, complemented
16#19148457C211yesmaximal, characteristic, complemented
17#19148447C211yesmaximal, characteristic, complemented
18#19148422C214yesmaximal, complemented
19#19148383C212yesmaximal, complemented
20#19148361C211yesmaximal, characteristic, complemented
21#19148324C214yesmaximal, complemented
22#19148270C212yesmaximal, complemented
23#19148257C212yesmaximal, complemented
24#19147890C211yesmaximal, characteristic, complemented
25#532×D43C211yesmaximal, characteristic, complemented
26C2×#14583431C211yesmaximal, characteristic, complemented
27C43×#3496C211yesmaximal, characteristic, complemented
28C2×#13063372C2212yescomplemented
29C2×#41×D43C2212yescomplemented
30#14583652C2218yescomplemented
31#14583646C2218yescomplemented
32#14583638C2218yescomplemented
33#14583638C2218yescomplemented
34#14583635C2212yescomplemented
35#14583632C2214yescomplemented
36#14583624C2212yescomplemented
37#14583619C2212yescomplemented
38#14583619C2212yescomplemented
39#14583618C2214yescomplemented
40#14583614C2212yescomplemented
41#14583613C2214yescomplemented
42#14583613C2218yescomplemented
43#14583606C2212yescomplemented
44#14583604C2214yescomplemented
45#14583601C2218yescomplemented
46#14583601C2214yescomplemented
47#14583599C2214yescomplemented
48#14583597C2214yescomplemented
49#14583596C2218yescomplemented
50#14583596C2214yescomplemented
51#14583596C2214yescomplemented
52#14583594C2218yescomplemented
53#14583592C2218yescomplemented
54#14583591C2214yescomplemented
55#14583589C2214yescomplemented
56#14583583C2214yescomplemented
57#14583580C2218yescomplemented
58#14583577C2218yescomplemented
59#14583575C2218yescomplemented
60#14583575C2218yescomplemented
61#14583570C2212yescomplemented
62#14583570C2212yescomplemented
63#14583569C2212yescomplemented
64#14583568C2214yescomplemented
65#14583567C2214yescomplemented
66D4×Dic86C2212yescomplemented
67#14583564C2212yescomplemented
68#14583562C2214yescomplemented
69#14583558C2214yescomplemented
70#14583557C2214yescomplemented
71#14583556C2214yescomplemented
72#14583556C2214yescomplemented
73#14583556C2214yescomplemented
74#14583555C2214yescomplemented
75#14583554C2212yescomplemented
76#14583551C2214yescomplemented
77#14583549C2218yescomplemented
78#14583546C2214yescomplemented
79#14583546C2214yescomplemented
80#14583543C2214yescomplemented
81#14583543C2214yescomplemented
82#14583543C2218yescomplemented
83#14583543C2218yescomplemented
84#14583543C2214yescomplemented
85#14583543C2218yescomplemented
86#14583543C2214yescomplemented
87#14583538C2218yescomplemented
88#14583536C2218yescomplemented
89D4×C22⋊D43C2214yescomplemented
90D4×C22⋊D43C2214yescomplemented
91D4×C22⋊D43C2218yescomplemented
92#14583530C2214yescomplemented
93#14583517C2218yescomplemented
94#14583516C2214yescomplemented
95#14583516C2214yescomplemented
96#14583509C2214yescomplemented
97#14583502C2214yescomplemented
98#14583502C2214yescomplemented
99#14583502C2214yescomplemented
100#14583501C2218yescomplemented
101#14583499C2218yescomplemented
102#14583494C2214yescomplemented
103#14583492C2218yescomplemented
104#14583492C2218yescomplemented
105#14583487C2218yescomplemented
106#14583487C2214yescomplemented
107#14583484C2218yescomplemented
108#14583484C2218yescomplemented
109#14583484C2218yescomplemented
110#14583481C2218yescomplemented
111#14583478C2214yescomplemented
112#14583477C2212yescomplemented
113#14583477C2214yescomplemented
114#14583476C2214yescomplemented
115#14583472C2214yescomplemented
116#14583470C2214yescomplemented
117#14583470C2212yescomplemented
118#14583466C2214yescomplemented
119#14583466C2214yescomplemented
120#14583466C2212yescomplemented
121#14583466C2214yescomplemented
122#14583459C2218yescomplemented
123#14583456C2211yescharacteristic, complemented
124#14583454C2211yescharacteristic, complemented
125#14583454C2211yescharacteristic, complemented
126#14583450C2211yescharacteristic, complemented
127#14583449C2211yescharacteristic, complemented
128#14583448C2212yescomplemented
129#14583447C2211yescharacteristic, complemented
130#14583447C2211yescharacteristic, complemented
131#14583447C2211yescharacteristic, complemented
132#14583446C2212yescomplemented
133#14583446C2212yescomplemented
134#14583445C2214yescomplemented
135#14583445C2212yescomplemented
136#14583444C2212yescomplemented
137#14583444C2214yescomplemented
138#14583444C2212yescomplemented
139C4⋊Q8×D43C2211yescharacteristic, complemented
140#127×D43C2211yescharacteristic, complemented
141#14583435C2214yescomplemented
142#14583431C2212yescomplemented
143#14583431C2212yescomplemented
144#14583431C2212yescomplemented
145#14583431C2212yescomplemented
146#14583431C2212yescomplemented
147#14583431C2212yescomplemented
148#14583431C2212yescomplemented
149#14583431C2212yescomplemented
150#14583431C2212yescomplemented
151#14583431C2212yescomplemented
152#14583430C2214yescomplemented
153#14583430C2212yescomplemented
154#14583430C2214yescomplemented
155#14583430C2212yescomplemented
156#14583428C2212yescomplemented
157#14583428C2212yescomplemented
158C2×#13063318C2212yescomplemented
159C2×#13063316C2211yescharacteristic, complemented
160C2×#13063312C2214yescomplemented
161C2×#13063312C2211yescharacteristic, complemented
162#124×D43C2212yescomplemented
163#14583410C2214yescomplemented
164#14583409C2214yescomplemented
165#14583409C2212yescomplemented
166#14583409C2212yescomplemented
167#14583406C2214yescomplemented
168#14583406C2212yescomplemented
169C2×#13063307C2212yescomplemented
170C2×#13063305C2211yescharacteristic, complemented
171C22⋊Q8×D43C2214yescomplemented
172C2×#13063296C2211yescharacteristic
173C2×#13063296C2214yescomplemented
174#121×D43C2212yescomplemented
175#121×D43C2212yescomplemented
176#14583382C2212yescomplemented
177#14583380C2214yescomplemented
178#14583380C2212yescomplemented
179#14583374C2214yescomplemented
180#14583372C2218yescomplemented
181#41×Dic43C2212yescomplemented
182C4×#10621900C2212yescomplemented
183C4×#10621900C2212yescomplemented
184C2×C4×Dic86C2211yescharacteristic, complemented
185C2×C4×C22⋊D43C2212yescomplemented
186C4×D4×D43C2212yescomplemented
187C4×D4×D43C2212yescomplemented
188C2×#13063284C2212yescomplemented
189C2×C42×D43C2211yescharacteristic, complemented
190C2×H(5,𝔽2)×C43C2212yescomplemented
191C43×#547C2212yescomplemented
192C43×#547C2212yescomplemented
193C43×#546C2214yescomplemented
194C43×#546C2214yescomplemented
195D42×C43C2212yescomplemented
196D42×C43C2212yescomplemented
197C43×#537C2212yescomplemented
198C43×#534C2214yescomplemented
199C43×#532C2211yescharacteristic
200C43×#532C2211yescharacteristic, complemented
201C2×#121×C43C2214yescomplemented
202C2×C4×D4×C43C2211yescharacteristic, complemented
203#13063372—48no—
204C2×#10621902C2312yes—
205C2×#10621898C2312yes—
206C2×#10621898C2314yes—
207C2×#10621898C2314yes—
208C2×#10621898C2314yes—
209C2×#10621900C2312yes—
210C2×#10621900C2314yes—
211C2×#10621900C2312yes—
212C2×#10621900C2312yes—
213C2×#10621900C2314yes—
214C2×#10621900C2318yes—
215#41×D43—48no—
216C22×Dic86C2311yescharacteristic
217C22×Dic86C2314yes—
218C2×Q8×D43C2314yes—
219C2×Q8×D43C2312yes—
220C22×C22⋊D43C2312yes—
221C22×C22⋊D43C2318yes—
222C2×D4×D43C2312yes—
223C2×D4×D43C2312yes—
224C2×D4×D43C2314yes—
225C2×D4×D43C2312yes—
226C22×C4×D43C2311yescharacteristic
227C22×C4×D43C2311yescharacteristic
228C22×C4×D43C2311yescharacteristic
229C22×C4×D43C2314yes—
230#13063325C2311yescharacteristic
231#13063325C2311yescharacteristic
232#13063325C2311yescharacteristic
233#13063324C2318yes—
234#13063324C2314yes—
235#13063324C2312yes—
236#13063324C2312yes—
237#13063323C2314yes—
238#13063323C2312yes—
239#13063322C2311yescharacteristic
240#13063321C2318yes—
241#13063321C2314yes—
242#13063321C2314yes—
243#13063321C2312yes—
244#13063321C2312yes—
245#13063321C2312yes—
246#13063320C2318yes—
247#13063318C2314yes—
248#13063318C2318yes—
249#13063318C2318yes—
250#13063318C2318yes—
251#13063318C2318yes—
252#13063318C2314yes—
253#13063318C2318yes—
254#13063318C2318yes—
255#13063318C2314yes—
256#13063318C2314yes—
257#13063318C2314yes—
258#13063318C2314yes—
259#13063317C2312yes—
260#13063316C2312yes—
261#13063316C2312yes—
262#13063316C2318yes—
263#13063316C2314yes—
264#13063316C2312yes—
265#13063316C2312yes—
266#13063316C2312yes—
267#13063316C2312yes—
268#13063315C2318yes—
269#13063315C2318yes—
270#13063314C2312yes—
271#13063313C2312yes—
272#13063312C2314yes—
273#13063312C2312yes—
274#13063312C2312yes—
275#13063312C2318yes—
276#13063312C2318yes—
277#13063312C2318yes—
278#13063312C2314yes—
279#13063312C2314yes—
280#13063312C2312yes—
281#13063312C2312yes—
282#13063312C2312yes—
283#13063312C2312yes—
284#13063312C2312yes—
285#13063311C2318yes—
286#13063311C2318yes—
287#13063311C2314yes—
288#13063311C2318yes—
289#13063311C2314yes—
290#13063310C2318yes—
291#13063309C2318yes—
292#13063309C2318yes—
293#13063308C2318yes—
294#13063307C2318yes—
295#13063307C2318yes—
296#13063307C2318yes—
297#13063307C2314yes—
298#13063307C2318yes—
299#13063307C2314yes—
300#13063307C2314yes—
301#13063307C2314yes—
302#13063307C2314yes—
303#13063307C2314yes—
304#13063306C2318yes—
305#13063306C2318yes—
306#13063306C2318yes—
307#13063306C2318yes—
308#13063306C2318yes—
309#13063306C2314yes—
310#13063306C2318yes—
311#13063305C2312yes—
312#13063305C2312yes—
313#13063305C2312yes—
314#13063305C2312yes—
315#13063305C2312yes—
316#13063305C2312yes—
317#13063304C2314yes—
318#13063304C2314yes—
319#13063304C2318yes—
320#13063304C2318yes—
321#13063304C2314yes—
322#13063304C2314yes—
323#13063304C2318yes—
324#13063304C2312yes—
325#13063304C2312yes—
326#13063303C2318yes—
327#13063303C2318yes—
328#13063302C2318yes—
329#13063302C2318yes—
330#13063302C2318yes—
331#13063302C2318yes—
332#13063301C2314yes—
333#13063301C2312yes—
334#13063301C2312yes—
335#13063300C2312yes—
336#13063300C2312yes—
337#13063299C2314yes—
338#13063299C2318yes—
339#13063299C2314yes—
340#13063299C2312yes—
341#13063299C2312yes—
342#13063298C2318yes—
343#13063298C2318yes—
344#13063298C2318yes—
345#13063298C2314yes—
346#13063298C2314yes—
347#13063297C2318yes—
348#13063297C2318yes—
349#13063297C2318yes—
350#13063297C2314yes—
351#13063297C2318yes—
352#13063297C2318yes—
353#13063297C2314yes—
354#13063297C2318yes—
355#13063297C2318yes—
356#13063297C2318yes—
357#13063296C2314yes—
358#13063296C2312yes—
359#13063296C2318yes—
360#13063296C2318yes—
361#13063296C2314yes—
362#13063296C2318yes—
363#13063296C2314yes—
364#13063296C2312yes—
365#13063296C2318yes—
366#13063296C2318yes—
367#13063296C2312yes—
368#13063296C2312yes—
369#13063296C2318yes—
370#13063296C2312yes—
371#13063296C2312yes—
372#13063296C2312yes—
373#13063296C2312yes—
374#13063296C2312yes—
375#13063296C2312yes—
376#13063294C2318yes—
377#13063294C2318yes—
378#13063294C2318yes—
379#13063294C2318yes—
380#13063294C2318yes—
381#13063293C2318yes—
382#13063293C2314yes—
383#13063293C2318yes—
384Q8×Dic43C2312yes—
385Q8×Dic43C2312yes—
386Q8×Dic43C2314yes—
387C4×Dic86C2312yes—
388C4×Dic86C2312yes—
389C4×Dic86C2312yes—
390C4×Dic86C2312yes—
391C4×Dic86C2312yes—
392C4×Dic86C2312yes—
393#13063290C2314yes—
394#13063290C2314yes—
395#13063290C2312yes—
396#13063290C2312yes—
397C4×D172C2312yes—
398C4×D172C2312yes—
399D4×Dic43C2318yes—
400D4×Dic43C2314yes—
401D4×Dic43C2312yes—
402D4×Dic43C2314yes—
403D4×Dic43C2318yes—
404D4×Dic43C2312yes—
405D4×Dic43C2318yes—
406D4×Dic43C2314yes—
407D4×Dic43C2312yes—
408D4×Dic43C2314yes—
409D4×Dic43C2312yes—
410D4×Dic43C2314yes—
411D4×Dic43C2312yes—
412D4×Dic43C2312yes—
413#13063287C2314yes—
414#13063287C2314yes—
415#13063287C2312yes—
416#13063287C2312yes—
417C4×C22⋊D43C2314yes—
418C4×C22⋊D43C2314yes—
419C4×C22⋊D43C2318yes—
420C4×C22⋊D43C2318yes—
421C4×C22⋊D43C2314yes—
422C4×C22⋊D43C2314yes—
423C4×C22⋊D43C2318yes—
424C4×C22⋊D43C2314yes—
425C4×C22⋊D43C2318yes—
426C4×C22⋊D43C2318yes—
427C4×C22⋊D43C2318yes—
428C4×C22⋊D43C2314yes—
429C4×C22⋊D43C2314yes—
430C4×C22⋊D43C2314yes—
431(C22⋊D43)⋊C4C2318yes—
432(C22⋊D43)⋊C4C2318yes—
433(C22⋊D43)⋊C4C2318yes—
434(C22⋊D43)⋊C4C2314yes—
435(C22⋊D43)⋊C4C2314yes—
436(C22⋊D43)⋊C4C2314yes—
437(C22⋊D43)⋊C4C2314yes—
438#13063284C2314yes—
439#13063284C2314yes—
440#13063284C2314yes—
441#13063284C2314yes—
442#13063284C2314yes—
443#13063284C2314yes—
444#13063284C2312yes—
445#13063284C2314yes—
446#13063283C2312yes—
447#13063283C2318yes—
448#13063283C2314yes—
449#13063283C2312yes—
450#13063281C2314yes—
451#13063281C2318yes—
452#13063281C2314yes—
453#13063281C2318yes—
454C2×C4⋊Dic43C2314yes—
455C2×C4⋊Dic43C2312yes—
456C2×C4⋊Dic43C2312yes—
457C2×C4⋊Dic43C2311yescharacteristic
458C2×Dic43⋊C4C2312yes—
459C2×Dic43⋊C4C2312yes—
460C4⋊C4×D43C2314yes—
461C4⋊C4×D43C2318yes—
462C4⋊C4×D43C2312yes—
463C4⋊C4×D43C2312yes—
464C2×C22⋊Dic43C2318yes—
465C2×C22⋊Dic43C2318yes—
466C2×C22⋊Dic43C2318yes—
467C2×C22⋊Dic43C2312yes—
468C2×C22⋊Dic43C2312yes—
469C2×C22⋊Dic43C2312yes—
470C2×(C2×D43)⋊C4C2312yes—
471C22⋊C4×D43C2314yes—
472C22⋊C4×D43C2318yes—
473C22⋊C4×D43C2314yes—
474C2×C4×Dic43C2311yescharacteristic
475C2×C4×Dic43C2311yescharacteristic
476C2×C4×Dic43C2311yescharacteristic
477C2×C4×Dic43C2312yes—
478C2×C4×Dic43C2314yes—
479C42×D43C2311yescharacteristic
480C42×D43C2311yescharacteristic
481C42×D43C2311yescharacteristic
482C42×D43C2311yescharacteristic
483C42×D43C2311yescharacteristic
484C42×D43C2311yescharacteristic
485C42×D43C2311yescharacteristic
486C42×D43C2311yescharacteristic
487H(5,𝔽2)×C43—48no—
488C2×#41×C43C2312yes—
489C2×#41×C43C2312yes—
490C2×#41×C43C2314yes—
491C2×#41×C43C2314yes—
492C22×D4×C43C2311yescharacteristic
493C22×D4×C43C2318yes—
494C22×D4×C43C2314yes—
495C22×D4×C43C2314yes—
496C22×D4×C43C2314yes—
497C23×C4×C43C2312yes—
498C4⋊Q8×C43C2311yescharacteristic
499C4⋊Q8×C43C2311yescharacteristic
500#127×C43C2311yescharacteristic
501#127×C43C2311yescharacteristic
502#124×C43C2312yes—
503#124×C43C2312yes—
504#123×C43C2318yes—
505#123×C43C2318yes—
506C22⋊Q8×C43C2314yes—
507C22⋊Q8×C43C2314yes—
508#121×C43C2314yes—
509#121×C43C2314yes—
510#121×C43C2312yes—
511#121×C43C2312yes—
512#121×C43C2318yes—
513#121×C43C2318yes—
514#121×C43C2314yes—
515#121×C43C2312yes—
516#121×C43C2312yes—
517#121×C43C2314yes—
518#120×C43C2318yes—
519#120×C43C2318yes—
520C4×D4×C43C2312yes—
521C4×D4×C43C2312yes—
522C4×D4×C43C2312yes—
523C4×D4×C43C2312yes—
524C4×D4×C43C2312yes—
525C4×D4×C43C2312yes—
526C4×D4×C43C2312yes—
527C4×D4×C43C2312yes—
528C2×C4⋊C4×C43C2311yescharacteristic
529C2×C4⋊C4×C43C2314yes—
530C2×C22⋊C4×C43C2312yes—
531C2×C22⋊C4×C43C2318yes—
532C2×C42×C43C2311yescharacteristic
533C24×C43C2412yes—
534C24×C43C2418yes—
535C23×D43C2411yescharacteristic
536C23×D43C2414yes—
537#41×C43—28no—
538#41×C43—28no—
539#41×C43—48no—
540#41×C43—48no—
541C2×Q8×C43C2412yes—
542C2×Q8×C43C2412yes—
543C2×D4×C43—24no—
544C2×D4×C43—416no—
545C2×D4×C43—48no—
546C2×D4×C43—48no—
547C2×D4×C43—48no—
548C2×D4×C43C2412yes—
549C2×D4×C43C2412yes—
550C2×D4×C43C2412yes—
551C2×D4×C43C2412yes—
552C2×D4×C43C2414yes—
553C2×D4×C43C2414yes—
554C2×D4×C43C2412yes—
555C2×D4×C43C2412yes—
556C2×D4×C43C2412yes—
557C2×D4×C43C2412yes—
558C2×D4×C43C2418yes—
559C2×D4×C43C2418yes—
560C2×D4×C43C2418yes—
561C22×C4×C43—44no—
562C22×C4×C43C2411yescharacteristic
563C22×C4×C43C2414yes—
564C22×C4×C43C2414yes—
565C22×C4×C43C2414yes—
566C22×C4×C43C2411yescharacteristic
567C22×C4×C43C2414yes—
568C22×C4×C43C2412yes—
569C22×C4×C43C2418yes—
570C22×C4×C43C2411yescharacteristic
571C2×C22⋊D43—44no—
572C2×C22⋊D43—416no—
573C2×C22⋊D43C2414yes—
574C2×C22⋊D43C2414yes—
575C2×C22⋊D43C2414yes—
576C2×C22⋊D43C2418yes—
577C2×C22⋊D43C2414yes—
578C2×C22⋊D43C2414yes—
579C2×C22⋊D43C2414yes—
580C2×C22⋊D43C2418yes—
581C2×C22⋊D43C2418yes—
582C2×C22⋊D43C2414yes—
583C2×C22⋊D43C2418yes—
584C2×C22⋊D43C2414yes—
585C2×C22⋊D43C2414yes—
586C22×Dic43C2411yescharacteristic
587C22×Dic43C2412yes—
588C22×Dic43C2411yescharacteristic
589C22×Dic43C2411yescharacteristic
590C22×Dic43C2414yes—
591C22×Dic43C2414yes—
592C22×Dic43C2412yes—
593C22×Dic43C2414yes—
594C22×Dic43C2418yes—
595C22×Dic43C2418yes—
596#10621902—44no—
597Q8×D43—44no—
598Q8×D43—48no—
599#10621900—44no—
600#10621900—44no—
601#10621900—48no—
602#10621900—44no—
603#10621900—48no—
604#10621900—416no—
605D4×D43—44no—
606D4×D43—48no—
607D4×D43—44no—
608D4×D43—44no—
609#10621898—28no—
610#10621898—48no—
611#10621898—48no—
612#10621898—48no—
613C2×D172C2412yes—
614C2×D172C2412yes—
615C2×D172C2412yes—
616C2×D172C2414yes—
617C2×C4×D43—24no—
618C2×C4×D43—42no—
619C2×C4×D43—42no—
620C2×C4×D43—48no—
621C2×C4×D43C2411yescharacteristic
622C2×C4×D43C2411yescharacteristic
623C2×C4×D43C2411yescharacteristic
624C2×C4×D43C2411yescharacteristic
625C2×C4×D43C2411yescharacteristic
626C2×C4×D43C2411yescharacteristic
627C2×C4×D43C2411yescharacteristic
628C2×C4×D43C2411yescharacteristic
629C2×C4×D43C2414yes—
630C2×C4×D43C2411yescharacteristic
631C2×C4×D43C2411yescharacteristic
632C2×C4×D43C2411yescharacteristic
633C2×C4×D43C2411yescharacteristic
634C2×C4×D43C2414yes—
635C2×C4×D43C2418yes—
636C2×C4×D43C2418yes—
637C2×C4×D43C2414yes—
638C2×Dic86—24no—
639C2×Dic86—48no—
640C2×Dic86C2412yes—
641C2×Dic86C2412yes—
642C2×Dic86C2412yes—
643C2×Dic86C2412yes—
644C2×Dic86C2412yes—
645C2×Dic86C2418yes—
646C2×Dic86C2414yes—
647C4⋊C4×C43C2412yes—
648C4⋊C4×C43C2412yes—
649C4⋊C4×C43C2412yes—
650C4⋊C4×C43C2412yes—
651C4⋊C4×C43C2418yes—
652C4⋊C4×C43C2412yes—
653C4⋊C4×C43C2412yes—
654C22⋊C4×C43C2414yes—
655C22⋊C4×C43C2414yes—
656C22⋊C4×C43C2414yes—
657C22⋊C4×C43C2414yes—
658C22⋊C4×C43C2418yes—
659C22⋊C4×C43C2418yes—
660C22⋊C4×C43C2414yes—
661C22⋊C4×C43C2414yes—
662C42×C43C2411yescharacteristic
663C42×C43C2411yescharacteristic
664C42×C43C2411yescharacteristic
665C42×C43C2411yescharacteristic
666C22⋊Dic43C2414yes—
667C22⋊Dic43C2414yes—
668C22⋊Dic43C2418yes—
669C22⋊Dic43C2414yes—
670C22⋊Dic43C2414yes—
671C22⋊Dic43C2414yes—
672C22⋊Dic43C2414yes—
673C22⋊Dic43C2418yes—
674C22⋊Dic43C2414yes—
675C22⋊Dic43C2414yes—
676C22⋊Dic43C2414yes—
677C22⋊Dic43C2418yes—
678C22⋊Dic43C2418yes—
679C22⋊Dic43C2418yes—
680C22⋊Dic43C2414yes—
681C22⋊Dic43C2414yes—
682C22⋊Dic43C2418yes—
683C22⋊Dic43C2414yes—
684C22⋊Dic43C2414yes—
685(C2×D43)⋊C4C2414yes—
686(C2×D43)⋊C4C2414yes—
687(C2×D43)⋊C4C2414yes—
688(C2×D43)⋊C4C2414yes—
689(C2×D43)⋊C4C2414yes—
690(C2×D43)⋊C4C2414yes—
691(C2×D43)⋊C4C2414yes—
692(C2×D43)⋊C4C2414yes—
693(C2×D43)⋊C4C2418yes—
694(C2×D43)⋊C4C2418yes—
695C4⋊Dic43C2414yes—
696C4⋊Dic43C2412yes—
697C4⋊Dic43C2412yes—
698C4⋊Dic43C2412yes—
699C4⋊Dic43C2412yes—
700C4⋊Dic43C2412yes—
701C4⋊Dic43C2414yes—
702C4⋊Dic43C2414yes—
703C4⋊Dic43C2414yes—
704C4⋊Dic43C2412yes—
705C4⋊Dic43C2418yes—
706C4⋊Dic43C2412yes—
707C4⋊Dic43C2412yes—
708C4⋊Dic43C2414yes—
709C4⋊Dic43C2414yes—
710Dic43⋊C4C2414yes—
711Dic43⋊C4C2414yes—
712Dic43⋊C4C2414yes—
713Dic43⋊C4C2418yes—
714Dic43⋊C4C2418yes—
715Dic43⋊C4C2414yes—
716Dic43⋊C4C2414yes—
717Dic43⋊C4C2414yes—
718Dic43⋊C4C2414yes—
719Dic43⋊C4C2414yes—
720Dic43⋊C4C2418yes—
721Dic43⋊C4C2418yes—
722Dic43⋊C4C2414yes—
723Dic43⋊C4C2414yes—
724C4×Dic43C2411yescharacteristic
725C4×Dic43C2411yescharacteristic
726C4×Dic43C2411yescharacteristic
727C4×Dic43C2411yescharacteristic
728C4×Dic43C2411yescharacteristic
729C4×Dic43C2411yescharacteristic
730C4×Dic43C2411yescharacteristic
731C4×Dic43C2411yescharacteristic
732C4×Dic43C2411yescharacteristic
733C4×Dic43C2411yescharacteristic
734C4×Dic43C2411yescharacteristic
735C4×Dic43C2411yescharacteristic
736C4×Dic43C2414yes—
737C4×Dic43C2414yes—
738C4×Dic43C2414yes—
739C4×Dic43C2414yes—
740C4×Dic43C2414yes—
741C4×Dic43C2418yes—
742C4×Dic43C2418yes—
743C23×C43—24no—
744C23×C43—42no—
745C23×C43—42no—
746C23×C43—48no—
747C23×C43—48no—
748C23×C43—48no—
749C23×C43C2514yes—
750C23×C43C2514yes—
751C23×C43C2514yes—
752C23×C43C2511yescharacteristic
753C22×D43—22no—
754C22×D43—22no—
755C22×D43—28no—
756C22×D43—41no—
757C22×D43—44no—
758C22×D43—44no—
759C22×D43C2511yescharacteristic
760C22×D43C2514yes—
761C22×D43C2511yescharacteristic
762Q8×C43—24no—
763Q8×C43—24no—
764D4×C43—28no—
765D4×C43—28no—
766D4×C43—24no—
767D4×C43—24no—
768D4×C43—24no—
769D4×C43—24no—
770D4×C43—24no—
771D4×C43—24no—
772D4×C43—42no—
773D4×C43—42no—
774D4×C43—48no—
775D4×C43—48no—
776D4×C43—48no—
777C2×C4×C43—28no—
778C2×C4×C43—28no—
779C2×C4×C43—22no—
780C2×C4×C43—28no—
781C2×C4×C43—41no—
782C2×C4×C43—44no—
783C2×C4×C43—42no—
784C2×C4×C43—48no—
785C2×C4×C43H(5,𝔽2)14yes—
786C2×C4×C43C2511yescharacteristic
787C2×C4×C43C2511yescharacteristic
788C2×C4×C43C2514yes—
789C2×C4×C43C2514yes—
790C2×C4×C43C2511yescharacteristic
791C2×C4×C43C2514yes—
792C2×C4×C43C2511yescharacteristic
793C2×C4×C43C2511yescharacteristic
794C2×C4×C43C2511yescharacteristic
795C22⋊D43—28no—
796C22⋊D43—28no—
797C22⋊D43—28no—
798C22⋊D43—44no—
799C22⋊D43—44no—
800C22⋊D43—48no—
801C22⋊D43—48no—
802C22⋊D43—44no—
803C22⋊D43—44no—
804C22⋊D43—44no—
805C22⋊D43—48no—
806C22⋊D43—44no—
807C22⋊D43—48no—
808C2×Dic43—24no—
809C2×Dic43—22no—
810C2×Dic43—48no—
811C2×Dic43—44no—
812C2×Dic43—41no—
813C2×Dic43—41no—
814C2×Dic43—44no—
815C2×Dic43—44no—
816C2×Dic43—48no—
817C2×Dic43—42no—
818C2×Dic43C2511yescharacteristic
819C2×Dic43C2511yescharacteristic
820C2×Dic43C2511yescharacteristic
821C2×Dic43C2514yes—
822C2×Dic43C2514yes—
823C2×Dic43C2514yes—
824C2×Dic43C2511yescharacteristic
825C2×Dic43C2511yescharacteristic
826C2×Dic43C2511yescharacteristic
827C2×Dic43C2514yes—
828C2×Dic43C2514yes—
829D172—24no—
830D172—24no—
831D172—44no—
832D172—42no—
833C4×D43—22no—
834C4×D43—22no—
835C4×D43—22no—
836C4×D43—22no—
837C4×D43—22no—
838C4×D43—22no—
839C4×D43—28no—
840C4×D43—22no—
841C4×D43—22no—
842C4×D43—41no—
843C4×D43—41no—
844C4×D43—41no—
845C4×D43—41no—
846C4×D43—44no—
847C4×D43—44no—
848C4×D43—48no—
849C4×D43—48no—
850Dic86—24no—
851Dic86—24no—
852Dic86—24no—
853Dic86—24no—
854Dic86—48no—
855Dic86—44no—
856Dic86—42no—
857#62830—431nomaximal, Sylow
858C22×C43—21no—
859C22×C43—21no—
860C22×C43—24no—
861C22×C43—24no—
862C22×C43—24no—
863C22×C43—24no—
864C22×C43—24no—
865C22×C43—24no—
866C22×C43—24no—
867C22×C43—24no—
868C22×C43—24no—
869C22×C43—84no—
870C22×C43—168no—
871C22×C43C2×H(5,𝔽2)12yes—
872C22×C43C2611yescharacteristic
873C2×D43—21no—
874C2×D43—21no—
875C2×D43—21no—
876C2×D43—24no—
877C2×D43—21no—
878C2×D43—24no—
879C2×D43—21no—
880C2×D43—24no—
881C2×D43—44no—
882C2×D43—88no—
883C2×D43#58512yes—
884C4×C43—24no—
885C4×C43—24no—
886C4×C43—21no—
887C4×C43—21no—
888C4×C43—21no—
889C4×C43—24no—
890C4×C43C2×H(5,𝔽2)12yes—
891C4×C43C2×H(5,𝔽2)12yes—
892C4×C43#58512yes—
893Dic43—24no—
894Dic43—24no—
895Dic43—21no—
896Dic43—21no—
897Dic43—24no—
898Dic43—24no—
899Dic43—21no—
900Dic43—21no—
901Dic43—21no—
902Dic43—21no—
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#3496D4311yescharacteristic, complemented
925#3494—434no—
926#3489—432no—
927#3488—432no—
928#3444—431no—
929C2×#532—431no—
930C2×#529—431no—
931C2×C43—22no—
932C2×C43—44no—
933C2×C43—44no—
934C2×C43—44no—
935C2×C43C22×H(5,𝔽2)11yescharacteristic
936C2×C43C2×#58511yescharacteristic
937C2×C43C2×#58511yescharacteristic
938D43—22no—
939D43—41no—
940D43—44no—
941C2×2−1+4—432no—
942C2×H(5,𝔽2)C2×D4312yescomplemented
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—438no—
955#555—434no—
956#555—432no—
957#554—432no—
958#554—434no—
959#553—438no—
960#553—438no—
961#553—438no—
962#553—434no—
963#553—434no—
964#553—438no—
965#553—434no—
966#553—434no—
967#553—434no—
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—434no—
978#550—432no—
979#550—432no—
980D4×Q8—432no—
981D4×Q8—434no—
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—438no—
991#547—432no—
992#547C2×D4312yescomplemented
993#547C2×D4312yescomplemented
994#546—438no—
995#546—434no—
996#546—438no—
997#546—434no—
998#546—434no—
999#546—438no—
1000#546—434no—
1001#546—434no—
1002#546—438no—
1003#546—434no—
1004#546—438no—
1005#546C2×D4314yescomplemented
1006#546C2×D4314yescomplemented
1007D42—434no—
1008D42—438no—
1009D42—434no—
1010D42C2×D4312yescomplemented
1011D42C2×D4312yescomplemented
1012#544—434no—
1013#542—438no—
1014#542—434no—
1015#542—434no—
1016#541—434no—
1017#540—438no—
1018#540—434no—
1019#540—434no—
1020#540—434no—
1021#540—438no—
1022#539—438no—
1023#539—438no—
1024#539—434no—
1025#538—438no—
1026#538—438no—
1027#538—438no—
1028#538—438no—
1029#538—434no—
1030#538—438no—
1031#537—432no—
1032#537—434no—
1033#537—434no—
1034#537—434no—
1035#537C2×D4312yescomplemented
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#534C2×D4314yescomplemented
1045#533—431no—
1046#533—431no—
1047#533—431no—
1048#532—432no—
1049#532—434no—
1050#532—431no—
1051#532—431no—
1052#532—431no—
1053#532—431no—
1054#532—432no—
1055#532—432no—
1056#532—432no—
1057#532—434no—
1058#532—432no—
1059#532—432no—
1060#532—431no—
1061#532C2×D4311yescharacteristic
1062#532C2×D4311yescharacteristic, complemented
1063C2×C4⋊Q8—431no—
1064C2×#127—431no—
1065#529—432no—
1066#529—432no—
1067#529—434no—
1068#529—432no—
1069#529—432no—
1070#529—434no—
1071#529—434no—
1072#529—432no—
1073#529—432no—
1074#529—432no—
1075#529—432no—
1076#529—432no—
1077#529—432no—
1078#529—432no—
1079#529—432no—
1080#529—432no—
1081#529—432no—
1082C2×#126—432no—
1083C2×#125—431no—
1084C2×#124—431no—
1085C2×#124—434no—
1086C2×#124—432no—
1087#525—432no—
1088#525—434no—
1089#525—434no—
1090#525—432no—
1091#525—432no—
1092#525—434no—
1093C2×#123—432no—
1094C2×C22⋊Q8—434no—
1095C2×C22⋊Q8—431no—
1096C2×#121—431no—
1097C2×#121—434no—
1098C2×#121—432no—
1099C2×#121—432no—
1100C2×#121C2×D4314yescomplemented
1101#520—432no—
1102#520—432no—
1103#520—434no—
1104#518—434no—
1105#518—438no—
1106C4×#41—432no—
1107C4×#41—432no—
1108C4×#41—432no—
1109C2×C4×Q8—431no—
1110C2×C4×D4—432no—
1111C2×C4×D4—432no—
1112C2×C4×D4—432no—
1113C2×C4×D4C2×D4311yescharacteristic, complemented
1114C2×#117—432no—
1115C22×C42—431no—
1116C43#6283011yescharacteristic, complemented, Sylow
11172−1+4—1728no—
1118H(5,𝔽2)—48no—
1119C2×#41—432no—
1120C2×#41—432no—
1121C2×#41—432no—
1122C2×#41—434no—
1123C2×#41—434no—
1124C2×#41—432no—
1125C2×#41—438no—
1126C2×#41—432no—
1127C2×#41—434no—
1128C2×#41—434no—
1129C2×#41—434no—
1130C2×#41—1728no—
1131C2×#41C22×D4312yes—
1132C2×#41C22×D4312yes—
1133C2×#41C22×D4314yes—
1134C2×#41C22×D4314yes—
1135C22×Q8—434no—
1136C22×Q8—432no—
1137C22×Q8—431no—
1138C22×Q8—434no—
1139C22×D4—432no—
1140C22×D4—438no—
1141C22×D4—432no—
1142C22×D4—432no—
1143C22×D4—434no—
1144C22×D4—432no—
1145C22×D4C22×D4311yescharacteristic
1146C22×D4C22×D4314yes—
1147C22×D4C22×D4314yes—
1148C22×D4C22×D4318yes—
1149C22×D4C22×D4314yes—
1150C23×C4—431no—
1151C23×C4—431no—
1152C23×C4—434no—
1153C23×C4—431no—
1154C23×C4C22×D4312yes—
1155C4⋊Q8—432no—
1156C4⋊Q8—434no—
1157C4⋊Q8—432no—
1158C4⋊Q8—432no—
1159C4⋊Q8—434no—
1160C4⋊Q8—438no—
1161C4⋊Q8—431no—
1162C4⋊Q8—431no—
1163C4⋊Q8—431no—
1164C4⋊Q8C22×D4311yescharacteristic
1165C4⋊Q8C22×D4311yescharacteristic
1166#127—432no—
1167#127—432no—
1168#127—432no—
1169#127—434no—
1170#127—434no—
1171#127—438no—
1172#127—431no—
1173#127C22×D4311yescharacteristic
1174#127C22×D4311yescharacteristic
1175#126—438no—
1176#126—434no—
1177#126—434no—
1178#126—434no—
1179#126—434no—
1180#126—434no—
1181#126—434no—
1182#126—438no—
1183#126—438no—
1184#126—438no—
1185#126—438no—
1186#126—438no—
1187#126—438no—
1188#125—432no—
1189#125—432no—
1190#125—432no—
1191#125—432no—
1192#125—432no—
1193#125—432no—
1194#125—434no—
1195#125—438no—
1196#125—438no—
1197#125—438no—
1198#125—432no—
1199#124—432no—
1200#124—432no—
1201#124—432no—
1202#124—432no—
1203#124—432no—
1204#124—432no—
1205#124—434no—
1206#124—434no—
1207#124—438no—
1208#124—438no—
1209#124—432no—
1210#124—432no—
1211#124—434no—
1212#124—438no—
1213#124—434no—
1214#124—434no—
1215#124—438no—
1216#124—438no—
1217#124—438no—
1218#124—432no—
1219#124C22×D4312yes—
1220#124C22×D4312yes—
1221#123—434no—
1222#123—438no—
1223#123—438no—
1224#123—438no—
1225#123—438no—
1226#123—438no—
1227#123—438no—
1228#123—438no—
1229#123—438no—
1230#123—434no—
1231#123—434no—
1232#123—434no—
1233#123—434no—
1234#123—434no—
1235#123—434no—
1236#123—438no—
1237#123—438no—
1238#123—438no—
1239#123—438no—
1240#123—438no—
1241#123—438no—
1242#123C22×D4318yes—
1243#123C22×D4318yes—
1244C22⋊Q8—432no—
1245C22⋊Q8—432no—
1246C22⋊Q8—434no—
1247C22⋊Q8—434no—
1248C22⋊Q8—432no—
1249C22⋊Q8—432no—
1250C22⋊Q8—434no—
1251C22⋊Q8—434no—
1252C22⋊Q8—434no—
1253C22⋊Q8—438no—
1254C22⋊Q8—438no—
1255C22⋊Q8—438no—
1256C22⋊Q8—432no—
1257C22⋊Q8—432no—
1258C22⋊Q8—432no—
1259C22⋊Q8—432no—
1260C22⋊Q8—438no—
1261C22⋊Q8—432no—
1262C22⋊Q8—432no—
1263C22⋊Q8—438no—
1264C22⋊Q8—438no—
1265C22⋊Q8—438no—
1266C22⋊Q8—438no—
1267C22⋊Q8—438no—
1268C22⋊Q8C22×D4314yes—
1269C22⋊Q8C22×D4314yes—
1270#121—432no—
1271#121—432no—
1272#121—432no—
1273#121—432no—
1274#121—432no—
1275#121—432no—
1276#121—434no—
1277#121—434no—
1278#121—432no—
1279#121—434no—
1280#121—434no—
1281#121—438no—
1282#121—438no—
1283#121—432no—
1284#121—432no—
1285#121—432no—
1286#121—434no—
1287#121—438no—
1288#121—438no—
1289#121—438no—
1290#121—438no—
1291#121—438no—
1292#121—438no—
1293#121—438no—
1294#121—438no—
1295#121—438no—
1296#121—438no—
1297#121—438no—
1298#121—438no—
1299#121—432no—
1300#121—432no—
1301#121—434no—
1302#121—434no—
1303#121—438no—
1304#121—432no—
1305#121—432no—
1306#121—434no—
1307#121—434no—
1308#121—438no—
1309#121—438no—
1310#121—438no—
1311#121C22×D4312yes—
1312#121C22×D4312yes—
1313#121C22×D4312yes—
1314#121C22×D4318yes—
1315#121C22×D4318yes—
1316#121C22×D4314yes—
1317#121C22×D4314yes—
1318#121C22×D4312yes—
1319#121C22×D4314yes—
1320#121C22×D4314yes—
1321#120—438no—
1322#120—438no—
1323#120—438no—
1324#120—438no—
1325#120—438no—
1326#120—434no—
1327#120—438no—
1328#120—438no—
1329#120C22×D4318yes—
1330#120C22×D4318yes—
1331C4×Q8—432no—
1332C4×Q8—432no—
1333C4×Q8—434no—
1334C4×Q8—432no—
1335C4×Q8—432no—
1336C4×Q8—434no—
1337C4×Q8—434no—
1338C4×Q8—432no—
1339C4×Q8—432no—
1340C4×Q8—432no—
1341C4×Q8—432no—
1342C4×Q8—432no—
1343C4×Q8—432no—
1344C4×D4—432no—
1345C4×D4—432no—
1346C4×D4—432no—
1347C4×D4—434no—
1348C4×D4—434no—
1349C4×D4—432no—
1350C4×D4—432no—
1351C4×D4—432no—
1352C4×D4—438no—
1353C4×D4—438no—
1354C4×D4—434no—
1355C4×D4—434no—
1356C4×D4—438no—
1357C4×D4—434no—
1358C4×D4—434no—
1359C4×D4—434no—
1360C4×D4—434no—
1361C4×D4—434no—
1362C4×D4—434no—
1363C4×D4—434no—
1364C4×D4—434no—
1365C4×D4—434no—
1366C4×D4—438no—
1367C4×D4—438no—
1368C4×D4—438no—
1369C4×D4—438no—
1370C4×D4—438no—
1371C4×D4—438no—
1372C4×D4—432no—
1373C4×D4—432no—
1374C4×D4—434no—
1375C4×D4—434no—
1376C4×D4—434no—
1377C4×D4—434no—
1378C4×D4—434no—
1379C4×D4—434no—
1380C4×D4—438no—
1381C4×D4—438no—
1382C4×D4—438no—
1383C4×D4—432no—
1384C4×D4—432no—
1385C4×D4C22×D4312yes—
1386C4×D4C22×D4312yes—
1387C4×D4C22×D4312yes—
1388C4×D4C22×D4312yes—
1389C4×D4C22×D4312yes—
1390C4×D4C22×D4312yes—
1391C4×D4C22×D4312yes—
1392C4×D4C22×D4312yes—
1393#117—434no—
1394#117—434no—
1395#117—434no—
1396#117—434no—
1397#117—432no—
1398#117—434no—
1399#117—434no—
1400#117—434no—
1401#117—432no—
1402#117—432no—
1403#117—434no—
1404#117—438no—
1405#117—434no—
1406#117—434no—
1407#117—438no—
1408#117—438no—
1409C2×C4⋊C4—432no—
1410C2×C4⋊C4—432no—
1411C2×C4⋊C4—432no—
1412C2×C4⋊C4—431no—
1413C2×C4⋊C4—432no—
1414C2×C4⋊C4—434no—
1415C2×C4⋊C4—432no—
1416C2×C4⋊C4—432no—
1417C2×C4⋊C4—434no—
1418C2×C4⋊C4—438no—
1419C2×C4⋊C4C22×D4311yescharacteristic
1420C2×C4⋊C4C22×D4314yes—
1421C2×C22⋊C4—432no—
1422C2×C22⋊C4—432no—
1423C2×C22⋊C4—432no—
1424C2×C22⋊C4—438no—
1425C2×C22⋊C4—438no—
1426C2×C22⋊C4—438no—
1427C2×C22⋊C4—432no—
1428C2×C22⋊C4—434no—
1429C2×C22⋊C4—434no—
1430C2×C22⋊C4—438no—
1431C2×C22⋊C4C22×D4312yes—
1432C2×C22⋊C4C22×D4318yes—
1433C2×C42—431no—
1434C2×C42—432no—
1435C2×C42—434no—
1436C2×C42—431no—
1437C2×C42—431no—
1438C2×C42—431no—
1439C2×C42—431no—
1440C2×C42—431no—
1441C2×C42—431no—
1442C2×C42—431no—
1443C2×C42—431no—
1444C2×C42—431no—
1445C2×C42—431no—
1446C2×C42C22×D4311yescharacteristic
1447C24—431no—
1448C24—434no—
1449C24C23×D4312yes—
1450C24C23×D4318yes—
1451#41—28no—
1452#41—28no—
1453#41—48no—
1454#41—48no—
1455#41—868no—
1456#41—1728no—
1457#41—1728no—
1458#41—1728no—
1459#41—1728no—
1460#41—17216no—
1461#41—1724no—
1462#41—1728no—
1463#41—1724no—
1464#41—1724no—
1465#41—1724no—
1466C2×Q8—432no—
1467C2×Q8—432no—
1468C2×Q8—432no—
1469C2×Q8—432no—
1470C2×Q8—432no—
1471C2×Q8—438no—
1472C2×Q8—434no—
1473C2×Q8—864no—
1474C2×Q8—1728no—
1475C2×Q8—1724no—
1476C2×Q8—1728no—
1477C2×Q8C23×D4312yes—
1478C2×Q8C23×D4312yes—
1479C2×D4—24no—
1480C2×D4—48no—
1481C2×D4—48no—
1482C2×D4—48no—
1483C2×D4—416no—
1484C2×D4—434no—
1485C2×D4—434no—
1486C2×D4—434no—
1487C2×D4—438no—
1488C2×D4—434no—
1489C2×D4—438no—
1490C2×D4—434no—
1491C2×D4—434no—
1492C2×D4—434no—
1493C2×D4—438no—
1494C2×D4—438no—
1495C2×D4—434no—
1496C2×D4—434no—
1497C2×D4—432no—
1498C2×D4—432no—
1499C2×D4—432no—
1500C2×D4—434no—
1501C2×D4—1724no—
1502C2×D4—1724no—
1503C2×D4—1724no—
1504C2×D4—1728no—
1505C2×D4—1724no—
1506C2×D4—17216no—
1507C2×D4C23×D4312yes—
1508C2×D4C23×D4312yes—
1509C2×D4C23×D4314yes—
1510C2×D4C23×D4312yes—
1511C2×D4C23×D4314yes—
1512C2×D4C23×D4312yes—
1513C2×D4C23×D4312yes—
1514C2×D4C23×D4312yes—
1515C2×D4C23×D4318yes—
1516C2×D4C23×D4312yes—
1517C2×D4C23×D4312yes—
1518C2×D4C23×D4318yes—
1519C2×D4C23×D4318yes—
1520C22×C4—44no—
1521C22×C4—431no—
1522C22×C4—432no—
1523C22×C4—431no—
1524C22×C4—431no—
1525C22×C4—434no—
1526C22×C4—434no—
1527C22×C4—432no—
1528C22×C4—434no—
1529C22×C4—438no—
1530C22×C4—438no—
1531C22×C4—431no—
1532C22×C4—431no—
1533C22×C4—431no—
1534C22×C4—431no—
1535C22×C4—431no—
1536C22×C4—431no—
1537C22×C4—431no—
1538C22×C4—431no—
1539C22×C4—434no—
1540C22×C4—431no—
1541C22×C4—431no—
1542C22×C4—431no—
1543C22×C4—431no—
1544C22×C4—434no—
1545C22×C4—438no—
1546C22×C4—438no—
1547C22×C4—434no—
1548C22×C4—864no—
1549C22×C4—1728no—
1550C22×C4—1722no—
1551C22×C4—1722no—
1552C22×C4C23×D4311yescharacteristic
1553C22×C4C23×D4314yes—
1554C22×C4C23×D4314yes—
1555C22×C4C23×D4314yes—
1556C22×C4C23×D4311yescharacteristic
1557C22×C4C23×D4312yes—
1558C22×C4C23×D4314yes—
1559C22×C4C23×D4318yes—
1560C22×C4C23×D4311yescharacteristic
1561C4⋊C4—434no—
1562C4⋊C4—432no—
1563C4⋊C4—432no—
1564C4⋊C4—432no—
1565C4⋊C4—434no—
1566C4⋊C4—434no—
1567C4⋊C4—432no—
1568C4⋊C4—434no—
1569C4⋊C4—434no—
1570C4⋊C4—434no—
1571C4⋊C4—432no—
1572C4⋊C4—432no—
1573C4⋊C4—434no—
1574C4⋊C4—434no—
1575C4⋊C4—434no—
1576C4⋊C4—438no—
1577C4⋊C4—438no—
1578C4⋊C4—438no—
1579C4⋊C4—434no—
1580C4⋊C4—434no—
1581C4⋊C4—432no—
1582C4⋊C4—434no—
1583C4⋊C4—438no—
1584C4⋊C4—438no—
1585C4⋊C4—434no—
1586C4⋊C4—434no—
1587C4⋊C4—434no—
1588C4⋊C4—434no—
1589C4⋊C4—432no—
1590C4⋊C4C23×D4312yes—
1591C4⋊C4C23×D4312yes—
1592C4⋊C4C23×D4318yes—
1593C4⋊C4C23×D4312yes—
1594C4⋊C4C23×D4312yes—
1595C4⋊C4C23×D4312yes—
1596C4⋊C4C23×D4312yes—
1597C22⋊C4—434no—
1598C22⋊C4—434no—
1599C22⋊C4—434no—
1600C22⋊C4—434no—
1601C22⋊C4—434no—
1602C22⋊C4—434no—
1603C22⋊C4—438no—
1604C22⋊C4—438no—
1605C22⋊C4—434no—
1606C22⋊C4—434no—
1607C22⋊C4—434no—
1608C22⋊C4—438no—
1609C22⋊C4—438no—
1610C22⋊C4—438no—
1611C22⋊C4—434no—
1612C22⋊C4—438no—
1613C22⋊C4—434no—
1614C22⋊C4—434no—
1615C22⋊C4—434no—
1616C22⋊C4—434no—
1617C22⋊C4—434no—
1618C22⋊C4—434no—
1619C22⋊C4—434no—
1620C22⋊C4—434no—
1621C22⋊C4—434no—
1622C22⋊C4—434no—
1623C22⋊C4—438no—
1624C22⋊C4—434no—
1625C22⋊C4—438no—
1626C22⋊C4C23×D4314yes—
1627C22⋊C4C23×D4318yes—
1628C22⋊C4C23×D4314yes—
1629C22⋊C4C23×D4314yes—
1630C22⋊C4C23×D4318yes—
1631C22⋊C4C23×D4314yes—
1632C22⋊C4C23×D4314yes—
1633C22⋊C4C23×D4314yes—
1634C42—431no—
1635C42—431no—
1636C42—431no—
1637C42—431no—
1638C42—431no—
1639C42—431no—
1640C42—431no—
1641C42—431no—
1642C42—431no—
1643C42—431no—
1644C42—431no—
1645C42—431no—
1646C42—434no—
1647C42—434no—
1648C42—434no—
1649C42—434no—
1650C42—434no—
1651C42—438no—
1652C42—438no—
1653C42C23×D4311yescharacteristic
1654C42C23×D4311yescharacteristic
1655C42C23×D4311yescharacteristic
1656C42C23×D4311yescharacteristic
1657C23—24no—
1658C23—42no—
1659C23—42no—
1660C23—48no—
1661C23—48no—
1662C23—48no—
1663C23—431no—
1664C23—431no—
1665C23—434no—
1666C23—868no—
1667C23—862no—
1668C23—862no—
1669C23—1724no—
1670C23—1724no—
1671C23—1721no—
1672C23C24×D4314yes—
1673C23C24×D4314yes—
1674C23C24×D4314yes—
1675C23C24×D4311yescharacteristic
1676Q8—24no—
1677Q8—24no—
1678Q8—864no—
1679Q8—864no—
1680Q8—864no—
1681Q8—864no—
1682Q8—1728no—
1683Q8—1724no—
1684Q8—1722no—
1685D4—28no—
1686D4—28no—
1687D4—24no—
1688D4—24no—
1689D4—24no—
1690D4—24no—
1691D4—24no—
1692D4—24no—
1693D4—48no—
1694D4—48no—
1695D4—48no—
1696D4—42no—
1697D4—42no—
1698D4—868no—
1699D4—868no—
1700D4—868no—
1701D4—864no—
1702D4—864no—
1703D4—1724no—
1704D4—1722no—
1705D4—1724no—
1706D4—1724no—
1707D4—1724no—
1708D4—1728no—
1709D4—1724no—
1710D4—1728no—
1711D4—1724no—
1712D4—1728no—
1713D4—1728no—
1714D4—1724no—
1715C2×C4—28no—
1716C2×C4—28no—
1717C2×C4—22no—
1718C2×C4—28no—
1719C2×C4—44no—
1720C2×C4—42no—
1721C2×C4—41no—
1722C2×C4—48no—
1723C2×C4—431no—
1724C2×C4—431no—
1725C2×C4—434no—
1726C2×C4—434no—
1727C2×C4—431no—
1728C2×C4—434no—
1729C2×C4—431no—
1730C2×C4—431no—
1731C2×C4—431no—
1732C2×C4—434no—
1733C2×C4—434no—
1734C2×C4—862no—
1735C2×C4—862no—
1736C2×C4—862no—
1737C2×C4—864no—
1738C2×C4—862no—
1739C2×C4—862no—
1740C2×C4—862no—
1741C2×C4—862no—
1742C2×C4—868no—
1743C2×C4—862no—
1744C2×C4—862no—
1745C2×C4—1724no—
1746C2×C4—1724no—
1747C2×C4—1721no—
1748C2×C4—1721no—
1749C2×C4—1721no—
1750C2×C4—1721no—
1751C2×C4—1728no—
1752C2×C4—1728no—
1753C2×C4—1724no—
1754C2×C4—1721no—
1755C2×C4—1721no—
1756C2×C4—1722no—
1757C2×C4—1728no—
1758C2×C4—1728no—
1759C2×C4—1724no—
1760C2×C4—1724no—
1761C2×C4#1306337014yes—
1762C2×C4C24×D4311yescharacteristic
1763C2×C4C24×D4311yescharacteristic
1764C2×C4C24×D4311yescharacteristic
1765C2×C4C24×D4314yes—
1766C2×C4C24×D4314yes—
1767C2×C4C24×D4314yes—
1768C2×C4C24×D4311yescharacteristic
1769C2×C4C24×D4311yescharacteristic
1770C2×C4C24×D4311yescharacteristic
1771C22—21no—
1772C22—21no—
1773C22—24no—
1774C22—24no—
1775C22—24no—
1776C22—24no—
1777C22—24no—
1778C22—24no—
1779C22—24no—
1780C22—24no—
1781C22—24no—
1782C22—84no—
1783C22—168no—
1784C22—432no—
1785C22—861no—
1786C22—861no—
1787C22—861no—
1788C22—864no—
1789C22—861no—
1790C22—864no—
1791C22—861no—
1792C22—864no—
1793C22—3448no—
1794C22—1724no—
1795C22C2×#1306337012yes—
1796C22C25×D4311yescharacteristic
1797C4—24no—
1798C4—24no—
1799C4—21no—
1800C4—21no—
1801C4—21no—
1802C4—24no—
1803C4—861no—
1804C4—861no—
1805C4—864no—
1806C4—864no—
1807C4—861no—
1808C4—861no—
1809C4—864no—
1810C4—864no—
1811C4—861no—
1812C4—861no—
1813C4—864no—
1814C4C2×#1306337012yes—
1815C4C2×#1306337012yes—
1816C4#1458373412yes—
1817C2—22no—
1818C2—44no—
1819C2—44no—
1820C2—44no—
1821C2—862no—
1822C2—1724no—
1823C2—1721no—
1824C2C22×#1306337011yescharacteristic
1825C2#585×D4311yescharacteristic
1826C2C2×#1458373411yescharacteristic
subgroupG/H
center, FrattiniC22C25×D43
commutator, socle, cosocleC22×C43C26
FittingC43×#3496C2
hypercenter#3496D43
hypocenterC43#62830
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C22 ◁ #3496

Complements

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

NH ≅ G/Ntype
1. #19149173C2semidirect
2. #19149137C2semidirect
3. #19149033C2semidirect
4. #19149015C2semidirect
5. #19148972C2semidirect
6. #19148963C2semidirect
7. #19148926C2semidirect
8. #19148782C2semidirect
9. #19148647C2semidirect
10. #19148621C2semidirect
11. #19148618C2semidirect
12. #19148600C2semidirect
13. #19148553C2semidirect
14. #19148547C2semidirect
15. #19148516C2semidirect
16. #19148457C2semidirect
17. #19148447C2semidirect
18. #19148422C2semidirect
19. #19148383C2semidirect
20. #19148361C2semidirect
21. #19148324C2semidirect
22. #19148270C2semidirect
23. #19148257C2semidirect
24. #19147890C2semidirect
25. #532×D43C2semidirect
26. C2×#14583431C2semidirect
27. C43×#3496C2semidirect
28. C2×#13063372C22semidirect
29. C2×#41×D43C22semidirect
30. #14583652C22semidirect
31. #14583646C22semidirect
32. #14583638C22semidirect
33. #14583638C22semidirect
34. #14583635C22semidirect
35. #14583632C22semidirect
36. #14583624C22semidirect
37. #14583619C22semidirect
38. #14583619C22semidirect
39. #14583618C22semidirect
40. #14583614C22semidirect
41. #14583613C22semidirect
42. #14583613C22semidirect
43. #14583606C22semidirect
44. #14583604C22semidirect
45. #14583601C22semidirect
46. #14583601C22semidirect
47. #14583599C22semidirect
48. #14583597C22semidirect
49. #14583596C22semidirect
50. #14583596C22semidirect
51. #14583596C22semidirect
52. #14583594C22semidirect
53. #14583592C22semidirect
54. #14583591C22semidirect
55. #14583589C22semidirect
56. #14583583C22semidirect
57. #14583580C22semidirect
58. #14583577C22semidirect
59. #14583575C22semidirect
60. #14583575C22semidirect
61. #14583570C22semidirect
62. #14583570C22semidirect
63. #14583569C22semidirect
64. #14583568C22semidirect
65. #14583567C22semidirect
66. D4×Dic86C22semidirect
67. #14583564C22semidirect
68. #14583562C22semidirect
69. #14583558C22semidirect
70. #14583557C22semidirect
71. #14583556C22semidirect
72. #14583556C22semidirect
73. #14583556C22semidirect
74. #14583555C22semidirect
75. #14583554C22semidirect
76. #14583551C22semidirect
77. #14583549C22semidirect
78. #14583546C22semidirect
79. #14583546C22semidirect
80. #14583543C22semidirect
81. #14583543C22semidirect
82. #14583543C22semidirect
83. #14583543C22semidirect
84. #14583543C22semidirect
85. #14583543C22semidirect
86. #14583543C22semidirect
87. #14583538C22semidirect
88. #14583536C22semidirect
89. D4×C22⋊D43C22semidirect
90. D4×C22⋊D43C22semidirect
91. D4×C22⋊D43C22semidirect
92. #14583530C22semidirect
93. #14583517C22semidirect
94. #14583516C22semidirect
95. #14583516C22semidirect
96. #14583509C22semidirect
97. #14583502C22semidirect
98. #14583502C22semidirect
99. #14583502C22semidirect
100. #14583501C22semidirect
101. #14583499C22semidirect
102. #14583494C22semidirect
103. #14583492C22semidirect
104. #14583492C22semidirect
105. #14583487C22semidirect
106. #14583487C22semidirect
107. #14583484C22semidirect
108. #14583484C22semidirect
109. #14583484C22semidirect
110. #14583481C22semidirect
111. #14583478C22semidirect
112. #14583477C22semidirect
113. #14583477C22semidirect
114. #14583476C22semidirect
115. #14583472C22semidirect
116. #14583470C22semidirect
117. #14583470C22semidirect
118. #14583466C22semidirect
119. #14583466C22semidirect
120. #14583466C22semidirect
121. #14583466C22semidirect
122. #14583459C22semidirect
123. #14583456C22semidirect
124. #14583454C22semidirect
125. #14583454C22semidirect
126. #14583450C22semidirect
127. #14583449C22semidirect
128. #14583448C22semidirect
129. #14583447C22semidirect
130. #14583447C22semidirect
131. #14583447C22semidirect
132. #14583446C22semidirect
133. #14583446C22semidirect
134. #14583445C22semidirect
135. #14583445C22semidirect
136. #14583444C22semidirect
137. #14583444C22semidirect
138. #14583444C22semidirect
139. C4⋊Q8×D43C22semidirect
140. #127×D43C22semidirect
141. #14583435C22semidirect
142. #14583431C22semidirect
143. #14583431C22semidirect
144. #14583431C22semidirect
145. #14583431C22semidirect
146. #14583431C22semidirect
147. #14583431C22semidirect
148. #14583431C22semidirect
149. #14583431C22semidirect
150. #14583431C22semidirect
151. #14583431C22semidirect
152. #14583430C22semidirect
153. #14583430C22semidirect
154. #14583430C22semidirect
155. #14583430C22semidirect
156. #14583428C22semidirect
157. #14583428C22semidirect
158. C2×#13063318C22semidirect
159. C2×#13063316C22semidirect
160. C2×#13063312C22semidirect
161. C2×#13063312C22semidirect
162. #124×D43C22semidirect
163. #14583410C22semidirect
164. #14583409C22semidirect
165. #14583409C22semidirect
166. #14583409C22semidirect
167. #14583406C22semidirect
168. #14583406C22semidirect
169. C2×#13063307C22semidirect
170. C2×#13063305C22semidirect
171. C22⋊Q8×D43C22semidirect
173. C2×#13063296C22semidirect
174. #121×D43C22semidirect
175. #121×D43C22semidirect
176. #14583382C22semidirect
177. #14583380C22semidirect
178. #14583380C22semidirect
179. #14583374C22semidirect
180. #14583372C22semidirect
181. #41×Dic43C22semidirect
182. C4×#10621900C22semidirect
183. C4×#10621900C22semidirect
184. C2×C4×Dic86C22semidirect
185. C2×C4×C22⋊D43C22semidirect
186. C4×D4×D43C22semidirect
187. C4×D4×D43C22semidirect
188. C2×#13063284C22semidirect
189. C2×C42×D43C22semidirect
190. C2×H(5,𝔽2)×C43C22semidirect
191. C43×#547C22semidirect
192. C43×#547C22semidirect
193. C43×#546C22semidirect
194. C43×#546C22semidirect
195. D42×C43C22semidirect
196. D42×C43C22semidirect
197. C43×#537C22semidirect
198. C43×#534C22semidirect
200. C43×#532C22semidirect
201. C2×#121×C43C22semidirect
202. C2×C4×D4×C43C22semidirect
924. #3496D43semidirect
942. C2×H(5,𝔽2)C2×D43semidirect
992. #547C2×D43semidirect
993. #547C2×D43semidirect
1005. #546C2×D43semidirect
1006. #546C2×D43semidirect
1010. D42C2×D43semidirect
1011. D42C2×D43semidirect
1035. #537C2×D43semidirect
1044. #534C2×D43semidirect
1062. #532C2×D43semidirect
1100. C2×#121C2×D43semidirect
1113. C2×C4×D4C2×D43semidirect
1116. C43#62830semidirect

Maximal subgroups

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

subgroupindex
#191491732
#191491372
#191490332
#191490152
#191489722
#191489632
#191489262
#191487822
#191486472
#191486212
#191486182
#191486002
#191485532
#191485472
#191485162
#191484572
#191484472
#191484222
#191483832
#191483612
#191483242
#191482702
#191482572
#191478902
#532×D432
C2×#145834312
C43×#34962
#6283043