Finite Group Databasebeta

← #26005271

Subgroups — #26005271

Order 11008.

7338 conjugacy classes of subgroups.

The subgroup lattice has 1538 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148903C214yesmaximal, complemented
2#19148880C214yesmaximal, complemented
3#19148863C214yesmaximal, complemented
4#19148851C214yesmaximal, complemented
5#19148766C214yesmaximal, complemented
6#19148750C214yesmaximal, complemented
7#19148632C214yesmaximal, complemented
8#19148615C214yesmaximal, complemented
9#19148535C218yesmaximal, complemented
10#19148438C214yesmaximal, complemented
11#19148423C214yesmaximal, complemented
12#19148341C212yesmaximal, complemented
13#19148324C212yesmaximal, complemented
14#19148315C212yesmaximal, complemented
15#19148271C212yesmaximal, complemented
16#19148260C212yesmaximal, complemented
17#19148253C211yesmaximal, characteristic, complemented
18#19148239C211yesmaximal, characteristic, complemented
19C2×#14583410C212yesmaximal, complemented
20C2×C43×#525C211yesmaximal, characteristic, complemented
21C2×#13063373C2211yescharacteristic, complemented
22C2×#13063370C2211yescharacteristic, complemented
23C22×#10621898C2212yescomplemented
24#14583652C2214yescomplemented
25#14583646C2218yescomplemented
26#14583642C2214yescomplemented
27#14583639C2214yescomplemented
28#14583638C2214yescomplemented
29#14583638C2218yescomplemented
30#14583633C2214yescomplemented
31#14583632C2218yescomplemented
32#14583620C2214yescomplemented
33#14583617C2214yescomplemented
34#14583617C2214yescomplemented
35#14583613C2214yescomplemented
36#14583612C2214yescomplemented
37#14583612C2214yescomplemented
38#14583608C2218yescomplemented
39#14583607C2214yescomplemented
40#14583601C2214yescomplemented
41#14583599C2218yescomplemented
42#14583598C2218yescomplemented
43#14583598C2218yescomplemented
44#14583596C2214yescomplemented
45#14583594C2218yescomplemented
46#14583593C2214yescomplemented
47#14583593C2214yescomplemented
48#14583591C2214yescomplemented
49#14583588C2214yescomplemented
50#14583588C2214yescomplemented
51#14583584C2218yescomplemented
52#14583583C2214yescomplemented
53#14583580C2214yescomplemented
54#14583578C2218yescomplemented
55#14583578C2218yescomplemented
56#14583577C2214yescomplemented
57#14583575C2218yescomplemented
58#14583575C2218yescomplemented
59#14583568C2214yescomplemented
60#14583568C2214yescomplemented
61#14583567C2214yescomplemented
62#14583562C2214yescomplemented
63#14583559C2214yescomplemented
64#14583556C2214yescomplemented
65#14583556C2214yescomplemented
66#14583555C2214yescomplemented
67#14583551C2214yescomplemented
68#14583550C2218yescomplemented
69#14583549C2214yescomplemented
70#14583548C2214yescomplemented
71#14583548C2214yescomplemented
72#14583546C2214yescomplemented
73#14583544C2218yescomplemented
74#14583543C2218yescomplemented
75#14583540C2214yescomplemented
76#14583539C2218yescomplemented
77#14583539C2218yescomplemented
78#14583537C2214yescomplemented
79#14583537C2214yescomplemented
80#14583536C2218yescomplemented
81#14583533C2214yescomplemented
82D4×C22⋊D43C2218yescomplemented
83#14583531C2214yescomplemented
84#14583530C2212yescomplemented
85#14583522C2214yescomplemented
86#14583517C2218yescomplemented
87#14583516C2214yescomplemented
88#14583514C2218yescomplemented
89#14583509C2214yescomplemented
90#14583502C2214yescomplemented
91#14583501C2218yescomplemented
92#14583500C2218yescomplemented
93#14583492C2218yescomplemented
94#14583491C2218yescomplemented
95#14583491C2218yescomplemented
96#14583487C2218yescomplemented
97#14583485C2218yescomplemented
98#14583484C2218yescomplemented
99#14583484C2218yescomplemented
100#14583482C2218yescomplemented
101#14583482C2218yescomplemented
102#14583480C2212yescomplemented
103#14583479C2214yescomplemented
104#14583478C2214yescomplemented
105#14583473C2212yescomplemented
106#14583472C2214yescomplemented
107#14583466C2214yescomplemented
108#14583466C2212yescomplemented
109#14583465C2214yescomplemented
110#14583464C2218yescomplemented
111#14583459C2218yescomplemented
112#14583458C2214yescomplemented
113#14583451C2214yescomplemented
114#14583444C2214yescomplemented
115#14583435C2214yescomplemented
116#14583433C2218yescomplemented
117#14583430C2214yescomplemented
118#14583412C2214yescomplemented
119#14583410C2212yes—
120#14583410C2212yescomplemented
121#14583410C2212yescomplemented
122#14583410C2212yescomplemented
123#14583410C2212yescomplemented
124#14583410C2214yescomplemented
125#14583410C2212yescomplemented
126#14583410C2214yescomplemented
127#14583410C2212yescomplemented
128#14583410C2212yescomplemented
129#14583410C2214yescomplemented
130#14583410C2214yescomplemented
131#14583410C2214yescomplemented
132#14583409C2214yescomplemented
133C2×#13063308C2214yescomplemented
134C2×#13063308C2214yescomplemented
135C2×#13063304C2212yescomplemented
136C2×#13063304C2212yescomplemented
137C22⋊Q8×D43C2214yescomplemented
138C2×#13063299C2212yescomplemented
139C2×#13063299C2212yescomplemented
140#121×D43C2214yescomplemented
141C2×#13063294C2214yescomplemented
142#14583380C2212yescomplemented
143#14583380C2212yescomplemented
144#14583378C2218yescomplemented
145#14583377C2211yescharacteristic, complemented
146#14583374C2211yescharacteristic, complemented
147#14583371C2218yescomplemented
148C2×C4×C22⋊D43C2214yescomplemented
149C2×C4×C22⋊D43C2214yescomplemented
150C2×#13063284C2212yescomplemented
151C22×#41×C43C2211yescharacteristic, complemented
152C24×C4×C43C2211yescharacteristic, complemented
153C43×#525C2214yescomplemented
154C43×#525C2214yescomplemented
155C43×#525C2214yescomplemented
156C43×#525C2214yescomplemented
157C2×#123×C43C2212yescomplemented
158C2×C22⋊Q8×C43C2212yescomplemented
159C2×#121×C43C2212yescomplemented
160C2×#120×C43C2212yescomplemented
161C2×C4×D4×C43C2214yescomplemented
162C2×#117×C43C2211yescharacteristic, complemented
163#13063373—44no—
164#13063370—44no—
165C2×#10621902C2314yescomplemented
166C2×#10621898—48no—
167C2×#10621898C2312yes—
168C2×#10621898C2312yes—
169C2×#10621898C2312yes—
170C2×#10621898C2312yes—
171C2×#10621898C2314yes—
172C2×#10621898C2314yes—
173C2×#10621898C2314yes—
174C2×#10621900C2318yes—
175C2×#10621900C2314yescomplemented
176C22×Dic86C2312yes—
177C2×Q8×D43C2314yescomplemented
178C22×D172C2312yes—
179C22×C22⋊D43C2314yes—
180C22×C22⋊D43C2314yes—
181C22×C22⋊D43C2314yes—
182C22×C22⋊D43C2314yes—
183C2×D4×D43C2318yes—
184C2×D4×D43C2314yescomplemented
185C22×C4×D43C2314yes—
186#13063324C2318yescomplemented
187#13063324C2314yescomplemented
188#13063324C2314yescomplemented
189#13063323C2314yescomplemented
190#13063321C2318yes—
191#13063321C2314yes—
192#13063321C2314yes—
193#13063321C2314yescomplemented
194#13063320C2318yescomplemented
195#13063320C2318yescomplemented
196#13063319C2318yescomplemented
197#13063319C2318yescomplemented
198#13063318C2318yes—
199#13063318C2318yes—
200#13063318C2318yes—
201#13063318C2318yes—
202#13063318C2318yescomplemented
203#13063318C2318yescomplemented
204#13063317C2318yescomplemented
205#13063316C2314yescomplemented
206#13063316C2318yescomplemented
207#13063316C2314yescomplemented
208#13063315C2318yescomplemented
209#13063315C2318yescomplemented
210#13063314C2314yescomplemented
211#13063313C2318yescomplemented
212#13063312C2314yes—
213#13063312C2314yes—
214#13063312C2318yes—
215#13063312C2314yescomplemented
216#13063311C2318yes—
217#13063311C2318yes—
218#13063311C2318yes—
219#13063311C2318yes—
220#13063311C2318yescomplemented
221#13063311C2318yescomplemented
222#13063310C2318yescomplemented
223#13063310C2318yescomplemented
224#13063309C2318yes—
225#13063309C2318yescomplemented
226#13063308C2314yes—
227#13063308C2318yes—
228#13063308C2314yes—
229#13063308C2314yes—
230#13063308C2314yes—
231#13063308C2314yes—
232#13063308C2314yes—
233#13063308C2314yes—
234#13063308C2314yes—
235#13063308C2318yescomplemented
236#13063308C2318yescomplemented
237#13063307C2318yes—
238#13063307C2318yes—
239#13063307C2318yes—
240#13063307C2318yes—
241#13063307C2318yescomplemented
242#13063307C2318yescomplemented
243#13063306C2318yes—
244#13063306C2318yes—
245#13063306C2314yes—
246#13063306C2314yes—
247#13063305C2314yescomplemented
248#13063305C2314yescomplemented
249#13063305C2318yescomplemented
250#13063304C2312yes—
251#13063304C2312yes—
252#13063304C2318yes—
253#13063304C2314yes—
254#13063304C2312yes—
255#13063304C2312yes—
256#13063304C2314yes—
257#13063304C2312yes—
258#13063304C2312yes—
259#13063304C2312yes—
260#13063304C2312yes—
261#13063304C2314yes—
262#13063304C2314yes—
263#13063304C2318yescomplemented
264#13063303C2318yescomplemented
265#13063303C2318yescomplemented
266#13063302C2318yes—
267#13063302C2318yes—
268#13063302C2318yescomplemented
269#13063302C2318yescomplemented
270#13063301C2314yescomplemented
271#13063301C2314yescomplemented
272#13063300C2314yescomplemented
273#13063300C2314yescomplemented
274#13063300C2318yescomplemented
275#13063299C2312yes—
276#13063299C2312yes—
277#13063299C2312yes—
278#13063299C2314yes—
279#13063299C2312yes—
280#13063299C2314yes—
281#13063299C2312yes—
282#13063299C2312yes—
283#13063299C2312yes—
284#13063299C2312yes—
285#13063299C2314yes—
286#13063299C2314yes—
287#13063299C2318yes—
288#13063299C2318yescomplemented
289#13063298C2318yes—
290#13063298C2318yes—
291#13063298C2318yes—
292#13063298C2318yes—
293#13063298C2318yescomplemented
294#13063298C2318yescomplemented
295#13063297C2318yes—
296#13063297C2318yes—
297#13063297C2318yes—
298#13063297C2318yes—
299#13063297C2318yes—
300#13063297C2318yes—
301#13063296C2318yes—
302#13063296C2318yes—
303#13063296C2318yes—
304#13063296C2318yes—
305#13063296C2314yescomplemented
306#13063296C2314yescomplemented
307#13063295C2318yes—
308#13063295C2318yescomplemented
309#13063294C2314yes—
310#13063294C2318yes—
311#13063294C2314yes—
312#13063294C2314yes—
313#13063294C2314yes—
314#13063294C2314yes—
315#13063294C2314yes—
316#13063294C2314yes—
317#13063294C2314yes—
318#13063293C2314yes—
319#13063293C2318yes—
320#13063293C2318yes—
321#13063293C2314yes—
322Q8×Dic43C2314yescomplemented
323Q8×Dic43C2314yescomplemented
324C4×Dic86C2318yescomplemented
325#13063290C2314yescomplemented
326#13063290C2314yescomplemented
327#13063290C2318yescomplemented
328C4×D172C2318yescomplemented
329D4×Dic43C2318yes—
330D4×Dic43C2318yes—
331D4×Dic43C2314yescomplemented
332D4×Dic43C2314yescomplemented
333#13063287C2318yescomplemented
334#13063287C2314yescomplemented
335#13063287C2314yescomplemented
336C4×C22⋊D43C2314yes—
337C4×C22⋊D43C2314yes—
338C4×C22⋊D43C2314yes—
339C4×C22⋊D43C2314yes—
340C4×C22⋊D43C2314yes—
341C4×C22⋊D43C2314yes—
342C4×C22⋊D43C2318yes—
343C4×C22⋊D43C2318yes—
344C4×C22⋊D43C2314yes—
345C4×C22⋊D43C2314yes—
346C4×C22⋊D43C2314yes—
347C4×C22⋊D43C2314yes—
348C4×C22⋊D43C2314yes—
349C4×C22⋊D43C2314yes—
350C4×C22⋊D43C2314yes—
351C4×C22⋊D43C2314yes—
352C4×C22⋊D43C2314yes—
353C4×C22⋊D43C2314yes—
354C4×C22⋊D43C2318yescomplemented
355C4×C22⋊D43C2318yescomplemented
356(C22⋊D43)⋊C4C2318yes—
357(C22⋊D43)⋊C4C2318yes—
358(C22⋊D43)⋊C4C2318yescomplemented
359(C22⋊D43)⋊C4C2318yescomplemented
360#13063284C2314yes—
361#13063284C2314yes—
362#13063284C2312yes—
363#13063284C2312yes—
364#13063284C2312yes—
365#13063284C2312yes—
366#13063284C2314yes—
367#13063283C2318yescomplemented
368#13063283C2314yescomplemented
369#13063283C2314yescomplemented
370#13063282C2318yescomplemented
371#13063282C2318yescomplemented
372#13063281C2318yes—
373#13063281C2318yescomplemented
374C2×C4⋊Dic43C2312yes—
375C2×C4⋊Dic43C2312yes—
376C2×Dic43⋊C4C2314yes—
377C2×Dic43⋊C4C2314yes—
378C2×Dic43⋊C4C2318yescomplemented
379C4⋊C4×D43C2314yescomplemented
380C4⋊C4×D43C2314yescomplemented
381C4⋊C4×D43C2318yescomplemented
382C2×C22⋊Dic43C2314yes—
383C2×C22⋊Dic43C2314yes—
384C2×C22⋊Dic43C2314yes—
385C2×C22⋊Dic43C2314yes—
386C2×(C2×D43)⋊C4C2314yes—
387C2×(C2×D43)⋊C4C2314yes—
388C2×(C2×D43)⋊C4C2318yescomplemented
389C22⋊C4×D43C2318yes—
390C22⋊C4×D43C2318yescomplemented
391C2×C4×Dic43C2314yes—
392C25×C43C2311yescharacteristic
393C2×#41×C43—44no—
394C2×#41×C43C2314yes—
395C2×#41×C43C2314yes—
396C22×Q8×C43C2311yescharacteristic
397C22×D4×C43C2311yescharacteristic
398C22×D4×C43C2314yes—
399C22×D4×C43C2312yes—
400C23×C4×C43—44no—
401C23×C4×C43C2311yescharacteristic
402C23×C4×C43C2312yes—
403C23×C4×C43C2312yes—
404C23×C4×C43C2312yes—
405C23×C4×C43C2311yescharacteristic
406C23×C4×C43C2312yes—
407C23×C4×C43C2312yes—
408C23×C4×C43C2312yes—
409C23×C4×C43C2312yes—
410#123×C43C2314yes—
411#123×C43C2314yes—
412#123×C43C2318yes—
413C22⋊Q8×C43C2314yes—
414C22⋊Q8×C43C2314yes—
415C22⋊Q8×C43C2314yes—
416C22⋊Q8×C43C2314yes—
417#121×C43C2314yes—
418#121×C43C2314yes—
419#121×C43C2314yes—
420#121×C43C2314yes—
421#120×C43C2314yes—
422#120×C43C2314yes—
423#120×C43C2318yes—
424C4×D4×C43C2318yes—
425C4×D4×C43C2318yes—
426C4×D4×C43C2318yes—
427C4×D4×C43C2318yes—
428#117×C43C2314yes—
429#117×C43C2314yes—
430C2×C4⋊C4×C43C2312yes—
431C2×C4⋊C4×C43C2314yes—
432C2×C22⋊C4×C43C2312yes—
433C2×C22⋊C4×C43C2314yes—
434C2×C22⋊C4×C43C2314yes—
435C2×C42×C43C2312yes—
436C24×C43—42no—
437C24×C43—44no—
438C24×C43C2412yes—
439C24×C43C2411yescharacteristic
440C24×C43C2411yescharacteristic
441C24×C43C2412yes—
442C24×C43C2412yes—
443C24×C43C2411yescharacteristic
444C23×D43C2414yes—
445C23×D43C2414yes—
446#41×C43—48no—
447#41×C43—48no—
448C2×Q8×C43—24no—
449C2×Q8×C43C2414yes—
450C2×D4×C43—24no—
451C2×D4×C43—44no—
452C2×D4×C43—48no—
453C2×D4×C43C2418yes—
454C2×D4×C43C2414yes—
455C2×D4×C43C2418yes—
456C2×D4×C43C2414yes—
457C2×D4×C43C2414yes—
458C22×C4×C43—24no—
459C22×C4×C43—28no—
460C22×C4×C43—44no—
461C22×C4×C43—42no—
462C22×C4×C43—44no—
463C22×C4×C43—44no—
464C22×C4×C43—44no—
465C22×C4×C43—44no—
466C22×C4×C43—44no—
467C22×C4×C43C2411yescharacteristic
468C22×C4×C43C2412yes—
469C22×C4×C43C2412yes—
470C22×C4×C43C2412yes—
471C22×C4×C43C2412yes—
472C22×C4×C43C2412yes—
473C22×C4×C43C2412yes—
474C22×C4×C43C2412yes—
475C22×C4×C43C2412yes—
476C22×C4×C43C2414yes—
477C22×C4×C43C2412yes—
478C22×C4×C43C2412yes—
479C22×C4×C43C2412yes—
480C22×C4×C43C2412yes—
481C22×C4×C43C2418yes—
482C22×C4×C43C2411yescharacteristic
483C22×C4×C43C2412yes—
484C22×C4×C43C2411yescharacteristic
485C22×C4×C43C2411yescharacteristic
486C2×C22⋊D43—48no—
487C2×C22⋊D43—48no—
488C2×C22⋊D43—48no—
489C2×C22⋊D43—48no—
490C2×C22⋊D43C2414yes—
491C2×C22⋊D43C2414yes—
492C2×C22⋊D43C2414yes—
493C2×C22⋊D43C2414yes—
494C2×C22⋊D43C2418yes—
495C2×C22⋊D43C2418yes—
496C2×C22⋊D43C2414yes—
497C2×C22⋊D43C2414yes—
498C2×C22⋊D43C2414yes—
499C2×C22⋊D43C2414yes—
500C2×C22⋊D43C2414yes—
501C2×C22⋊D43C2414yes—
502C2×C22⋊D43C2414yes—
503C2×C22⋊D43C2418yes—
504C2×C22⋊D43C2414yes—
505C22×Dic43C2414yes—
506C22×Dic43C2414yes—
507C22×Dic43C2418yes—
508C22×Dic43C2414yes—
509C22×Dic43C2414yes—
510#10621902—48no—
511Q8×D43—48no—
512#10621900—48no—
513#10621900—416no—
514D4×D43—416no—
515D4×D43—48no—
516#10621898—28no—
517#10621898—28no—
518#10621898—44no—
519#10621898—44no—
520#10621898—48no—
521#10621898—48no—
522#10621898—48no—
523C2×D172—44no—
524C2×D172C2412yes—
525C2×D172C2412yes—
526C2×D172C2418yes—
527C2×D172C2414yes—
528C2×D172C2414yes—
529C2×C4×D43—48no—
530C2×C4×D43C2414yes—
531C2×C4×D43C2414yes—
532C2×C4×D43C2418yes—
533C2×C4×D43C2418yes—
534C2×C4×D43C2414yes—
535C2×C4×D43C2418yes—
536C2×C4×D43C2414yes—
537C2×Dic86—44no—
538C2×Dic86C2412yes—
539C2×Dic86C2412yes—
540C2×Dic86C2418yes—
541C2×Dic86C2414yes—
542C2×Dic86C2414yes—
543C4⋊C4×C43C2414yes—
544C4⋊C4×C43C2414yes—
545C4⋊C4×C43C2418yes—
546C4⋊C4×C43C2418yes—
547C22⋊C4×C43C2414yes—
548C22⋊C4×C43C2414yes—
549C22⋊C4×C43C2418yes—
550C22⋊C4×C43C2418yes—
551C22⋊C4×C43C2418yes—
552C22⋊C4×C43C2418yes—
553C42×C43C2418yes—
554C22⋊Dic43C2414yes—
555C22⋊Dic43C2418yes—
556C22⋊Dic43C2414yes—
557C22⋊Dic43C2414yes—
558C22⋊Dic43C2414yes—
559C22⋊Dic43C2414yes—
560C22⋊Dic43C2414yes—
561C22⋊Dic43C2414yes—
562C22⋊Dic43C2414yes—
563C22⋊Dic43C2414yes—
564C22⋊Dic43C2414yes—
565C22⋊Dic43C2414yes—
566C22⋊Dic43C2414yes—
567C22⋊Dic43C2414yes—
568C22⋊Dic43C2414yes—
569C22⋊Dic43C2418yes—
570(C2×D43)⋊C4C2418yes—
571(C2×D43)⋊C4C2418yes—
572(C2×D43)⋊C4C2414yes—
573(C2×D43)⋊C4C2414yes—
574(C2×D43)⋊C4C2414yes—
575(C2×D43)⋊C4C2414yes—
576(C2×D43)⋊C4C2414yes—
577(C2×D43)⋊C4C2414yes—
578(C2×D43)⋊C4C2414yes—
579(C2×D43)⋊C4C2414yes—
580(C2×D43)⋊C4C2418yes—
581(C2×D43)⋊C4C2418yes—
582(C2×D43)⋊C4C2418yes—
583(C2×D43)⋊C4C2418yes—
584C4⋊Dic43C2412yes—
585C4⋊Dic43C2412yes—
586C4⋊Dic43C2418yes—
587C4⋊Dic43C2412yes—
588C4⋊Dic43C2412yes—
589C4⋊Dic43C2414yes—
590C4⋊Dic43C2414yes—
591C4⋊Dic43C2418yes—
592C4⋊Dic43C2418yes—
593Dic43⋊C4C2414yes—
594Dic43⋊C4C2418yes—
595Dic43⋊C4C2418yes—
596Dic43⋊C4C2418yes—
597Dic43⋊C4C2414yes—
598Dic43⋊C4C2414yes—
599Dic43⋊C4C2414yes—
600Dic43⋊C4C2414yes—
601Dic43⋊C4C2414yes—
602Dic43⋊C4C2414yes—
603Dic43⋊C4C2414yes—
604Dic43⋊C4C2418yes—
605Dic43⋊C4C2418yes—
606Dic43⋊C4C2418yes—
607C4×Dic43C2414yes—
608C4×Dic43C2414yes—
609C4×Dic43C2414yes—
610C4×Dic43C2414yes—
611C4×Dic43C2414yes—
612C4×Dic43C2418yes—
613C4×Dic43C2418yes—
614C4×Dic43C2414yes—
615C23×C43—24no—
616C23×C43—22no—
617C23×C43—24no—
618C23×C43—24no—
619C23×C43—24no—
620C23×C43—24no—
621C23×C43—41no—
622C23×C43—42no—
623C23×C43—41no—
624C23×C43—42no—
625C23×C43—42no—
626C23×C43—42no—
627C23×C43—42no—
628C23×C43—44no—
629C23×C43—416no—
630C23×C43C2512yes—
631C23×C43C2511yescharacteristic
632C23×C43C2511yescharacteristic
633C23×C43C2514yes—
634C23×C43C2511yescharacteristic
635C23×C43C2512yes—
636C22×D43—28no—
637C22×D43—44no—
638C22×D43—44no—
639C22×D43—44no—
640C22×D43—48no—
641C22×D43C2514yes—
642C22×D43C2514yes—
643Q8×C43—28no—
644D4×C43—216no—
645D4×C43—28no—
646D4×C43—48no—
647D4×C43—44no—
648D4×C43—44no—
649C2×C4×C43—24no—
650C2×C4×C43—24no—
651C2×C4×C43—22no—
652C2×C4×C43—24no—
653C2×C4×C43—24no—
654C2×C4×C43—24no—
655C2×C4×C43—24no—
656C2×C4×C43—24no—
657C2×C4×C43—24no—
658C2×C4×C43—41no—
659C2×C4×C43—42no—
660C2×C4×C43—42no—
661C2×C4×C43—42no—
662C2×C4×C43—41no—
663C2×C4×C43—42no—
664C2×C4×C43—42no—
665C2×C4×C43—48no—
666C2×C4×C43—44no—
667C2×C4×C43H(5,𝔽2)14yes—
668C2×C4×C43C2512yes—
669C2×C4×C43C2518yes—
670C2×C4×C43C2514yes—
671C2×C4×C43C2512yes—
672C2×C4×C43C2512yes—
673C2×C4×C43C2512yes—
674C22⋊D43—28no—
675C22⋊D43—28no—
676C22⋊D43—28no—
677C22⋊D43—28no—
678C22⋊D43—44no—
679C22⋊D43—44no—
680C22⋊D43—48no—
681C22⋊D43—48no—
682C22⋊D43—48no—
683C22⋊D43—44no—
684C22⋊D43—44no—
685C22⋊D43—44no—
686C22⋊D43—44no—
687C22⋊D43—44no—
688C22⋊D43—44no—
689C2×Dic43—28no—
690C2×Dic43—44no—
691C2×Dic43—44no—
692C2×Dic43—48no—
693C2×Dic43—44no—
694C2×Dic43C2514yes—
695C2×Dic43C2514yes—
696C2×Dic43C2514yes—
697C2×Dic43C2514yes—
698C2×Dic43C2514yes—
699C2×Dic43C2514yes—
700D172—24no—
701D172—24no—
702D172—44no—
703D172—44no—
704D172—48no—
705C4×D43—28no—
706C4×D43—28no—
707C4×D43—44no—
708C4×D43—44no—
709C4×D43—48no—
710C4×D43—48no—
711C4×D43—48no—
712Dic86—24no—
713Dic86—24no—
714Dic86—44no—
715Dic86—44no—
716Dic86—48no—
717#62821—431nomaximal, Sylow
718C22×C43—22no—
719C22×C43—22no—
720C22×C43—22no—
721C22×C43—24no—
722C22×C43—22no—
723C22×C43—21no—
724C22×C43—21no—
725C22×C43—28no—
726C22×C43—22no—
727C22×C43—22no—
728C22×C43—22no—
729C22×C43—22no—
730C22×C43—44no—
731C22×C43—48no—
732C22×C43—48no—
733C22×C43—44no—
734C22×C43—44no—
735C22×C43—84no—
736C22×C43C2×H(5,𝔽2)12yes—
737C22×C43#58514yes—
738C22×C43C2611yescharacteristic
739C2×D43—24no—
740C2×D43—24no—
741C2×D43—24no—
742C2×D43—24no—
743C2×D43—24no—
744C2×D43—24no—
745C2×D43—88no—
746C2×D43—164no—
747C4×C43—22no—
748C4×C43—24no—
749C4×C43—22no—
750C4×C43—22no—
751C4×C43—28no—
752C4×C43C2×H(5,𝔽2)14yes—
753Dic43—24no—
754Dic43—24no—
755Dic43—24no—
756Dic43—24no—
757Dic43—24no—
758Dic43—24no—
759#3542—434no—
760#3541—434no—
761#3540—434no—
762#3539—434no—
763#3533—434no—
764#3532—434no—
765#3520—434no—
766#3519—434no—
767#3513—438no—
768#3506—434no—
769#3505—434no—
770#3495—432no—
771#3494—432no—
772#3493—432no—
773#3489—432no—
774#3488—432no—
775#3487—431no—
776#3485—431no—
777C2×#525—432no—
778C2×#525D4311yescharacteristic, complemented
779C2×C43—24no—
780C2×C43—22no—
781C2×C43—44no—
782C2×C43—42no—
783C2×C43—41no—
784C2×C43—41no—
785C2×C43C22×H(5,𝔽2)11yescharacteristic
786C2×C43C2×#58512yes—
787D43—44no—
788D43—44no—
789C2×2−1+4—431no—
790C2×H(5,𝔽2)—431no—
791C22×#41—432no—
792C22×#41C2×D4311yescharacteristic, complemented
793C24×C4C2×D4311yescharacteristic, complemented
794#563—434no—
795#562—438no—
796H(3,𝔽4)—434no—
797#560—434no—
798#560—434no—
799#560—438no—
800#559—434no—
801#559—438no—
802#556—434no—
803#556—434no—
804#556—434no—
805#555—434no—
806#555—434no—
807#555—434no—
808#554—434no—
809#554—438no—
810#553—438no—
811#553—434no—
812#553—434no—
813#553—438no—
814#553—438no—
815#553—438no—
816#553—434no—
817#553—434no—
818#552—434no—
819#552—434no—
820#552—434no—
821#552—434no—
822#552—438no—
823#551—434no—
824#551—434no—
825#551—438no—
826#551—438no—
827#551—438no—
828#551—438no—
829#550—434no—
830#550—434no—
831#550—434no—
832D4×Q8—434no—
833#548—434no—
834#548—434no—
835#548—434no—
836#548—434no—
837#547—434no—
838#547—434no—
839#547—434no—
840#547—434no—
841#547—438no—
842#546—434no—
843#546—434no—
844#546—438no—
845#546—434no—
846#546—434no—
847#546—438no—
848#546—438no—
849#546—438no—
850#546—438no—
851D42—438no—
852D42—434no—
853D42—434no—
854#544—432no—
855#542—438no—
856#542—434no—
857#542—434no—
858#542—438no—
859#541—434no—
860#540—438no—
861#540—434no—
862#540—438no—
863#539—438no—
864#539—438no—
865#539—438no—
866#538—438no—
867#538—438no—
868#538—438no—
869#538—438no—
870#538—438no—
871#538—438no—
872#537—434no—
873#537—434no—
874#537—432no—
875#536—432no—
876#536—434no—
877#535—432no—
878#535—434no—
879#535—434no—
880#535—438no—
881#534—434no—
882#534—438no—
883#533—434no—
884#532—434no—
885#529—434no—
886#529—434no—
887#529—438no—
888#525—432no—
889#525—432no—
890#525—432no—
891#525—432no—
892#525—432no—
893#525—432no—
894#525—434no—
895#525—434no—
896#525—432no—
897#525—434no—
898#525—432no—
899#525—434no—
900#525—434no—
901#525—434no—
902#525—434no—
903#525C2×D4314yescomplemented
904#525C2×D4314yescomplemented
905#525C2×D4314yescomplemented
906#525C2×D4314yescomplemented
907C2×#123—434no—
908C2×#123—434no—
909C2×#123C2×D4312yescomplemented
910C2×C22⋊Q8—432no—
911C2×C22⋊Q8—432no—
912C2×C22⋊Q8—434no—
913C2×C22⋊Q8C2×D4312yescomplemented
914C2×#121—432no—
915C2×#121—432no—
916C2×#121—434no—
917C2×#121C2×D4312yescomplemented
918C2×#120—434no—
919C2×#120C2×D4312yescomplemented
920#520—438no—
921#520—432no—
922#520—432no—
923#519—431no—
924#518—431no—
925#518—438no—
926C2×C4×D4—434no—
927C2×C4×D4—434no—
928C2×C4×D4C2×D4314yescomplemented
929C2×#117—432no—
930C2×#117C2×D4311yescharacteristic, complemented
931C43#6282111yescharacteristic, complemented, Sylow
932C25C22×D4311yescharacteristic
9332−1+4—1724no—
934H(5,𝔽2)—1724no—
935C2×#41—44no—
936C2×#41—434no—
937C2×#41—438no—
938C2×#41—434no—
939C2×#41—432no—
940C2×#41—432no—
941C2×#41—434no—
942C2×#41—434no—
943C2×#41—432no—
944C2×#41—432no—
945C2×#41—434no—
946C2×#41—1728no—
947C2×#41C22×D4314yes—
948C2×#41C22×D4314yes—
949C22×Q8—434no—
950C22×Q8—432no—
951C22×Q8C22×D4311yescharacteristic
952C22×D4—434no—
953C22×D4—434no—
954C22×D4—434no—
955C22×D4—434no—
956C22×D4—438no—
957C22×D4—434no—
958C22×D4—432no—
959C22×D4C22×D4311yescharacteristic
960C22×D4C22×D4314yes—
961C22×D4C22×D4312yes—
962C23×C4—44no—
963C23×C4—434no—
964C23×C4C22×D4312yes—
965C23×C4C22×D4311yescharacteristic
966C23×C4C22×D4312yes—
967C23×C4C22×D4312yes—
968C23×C4C22×D4312yes—
969C23×C4C22×D4312yes—
970C23×C4C22×D4312yes—
971C23×C4C22×D4311yescharacteristic
972C23×C4C22×D4312yes—
973C4⋊Q8—434no—
974C4⋊Q8—434no—
975C4⋊Q8—434no—
976C4⋊Q8—438no—
977#127—434no—
978#127—434no—
979#127—438no—
980#127—434no—
981#126—438no—
982#126—438no—
983#126—438no—
984#126—438no—
985#126—438no—
986#126—438no—
987#126—438no—
988#126—438no—
989#126—438no—
990#126—438no—
991#125—434no—
992#125—434no—
993#125—438no—
994#125—438no—
995#125—438no—
996#125—438no—
997#124—434no—
998#124—434no—
999#124—434no—
1000#124—434no—
1001#124—438no—
1002#124—438no—
1003#124—438no—
1004#124—438no—
1005#124—438no—
1006#124—438no—
1007#124—438no—
1008#124—438no—
1009#123—438no—
1010#123—434no—
1011#123—434no—
1012#123—438no—
1013#123—434no—
1014#123—434no—
1015#123—434no—
1016#123—434no—
1017#123—434no—
1018#123—434no—
1019#123—434no—
1020#123—434no—
1021#123—438no—
1022#123—438no—
1023#123—438no—
1024#123—438no—
1025#123—438no—
1026#123—438no—
1027#123—438no—
1028#123—438no—
1029#123—438no—
1030#123—438no—
1031#123—438no—
1032#123—438no—
1033#123—438no—
1034#123C22×D4318yes—
1035#123C22×D4314yes—
1036#123C22×D4314yes—
1037C22⋊Q8—434no—
1038C22⋊Q8—434no—
1039C22⋊Q8—432no—
1040C22⋊Q8—432no—
1041C22⋊Q8—432no—
1042C22⋊Q8—432no—
1043C22⋊Q8—434no—
1044C22⋊Q8—434no—
1045C22⋊Q8—432no—
1046C22⋊Q8—432no—
1047C22⋊Q8—432no—
1048C22⋊Q8—432no—
1049C22⋊Q8—434no—
1050C22⋊Q8—434no—
1051C22⋊Q8—438no—
1052C22⋊Q8—438no—
1053C22⋊Q8—434no—
1054C22⋊Q8—438no—
1055C22⋊Q8—434no—
1056C22⋊Q8—438no—
1057C22⋊Q8—438no—
1058C22⋊Q8—438no—
1059C22⋊Q8—438no—
1060C22⋊Q8—438no—
1061C22⋊Q8—438no—
1062C22⋊Q8C22×D4314yes—
1063C22⋊Q8C22×D4314yes—
1064C22⋊Q8C22×D4314yes—
1065C22⋊Q8C22×D4314yes—
1066#121—434no—
1067#121—438no—
1068#121—434no—
1069#121—438no—
1070#121—438no—
1071#121—438no—
1072#121—438no—
1073#121—438no—
1074#121—438no—
1075#121—438no—
1076#121—438no—
1077#121—438no—
1078#121—432no—
1079#121—432no—
1080#121—432no—
1081#121—432no—
1082#121—434no—
1083#121—434no—
1084#121—434no—
1085#121—432no—
1086#121—432no—
1087#121—432no—
1088#121—432no—
1089#121—434no—
1090#121—438no—
1091#121—438no—
1092#121—434no—
1093#121—434no—
1094#121—438no—
1095#121—438no—
1096#121—438no—
1097#121—438no—
1098#121—438no—
1099#121—438no—
1100#121—438no—
1101#121C22×D4314yes—
1102#121C22×D4314yes—
1103#121C22×D4314yes—
1104#121C22×D4314yes—
1105#120—434no—
1106#120—434no—
1107#120—434no—
1108#120—434no—
1109#120—434no—
1110#120—434no—
1111#120—434no—
1112#120—434no—
1113#120—438no—
1114#120—438no—
1115#120—434no—
1116#120—438no—
1117#120—434no—
1118#120—438no—
1119#120—438no—
1120#120C22×D4318yes—
1121#120C22×D4314yes—
1122#120C22×D4314yes—
1123C4×Q8—434no—
1124C4×Q8—434no—
1125C4×Q8—434no—
1126C4×Q8—434no—
1127C4×Q8—438no—
1128C4×Q8—438no—
1129C4×D4—438no—
1130C4×D4—434no—
1131C4×D4—434no—
1132C4×D4—438no—
1133C4×D4—434no—
1134C4×D4—434no—
1135C4×D4—434no—
1136C4×D4—434no—
1137C4×D4—434no—
1138C4×D4—434no—
1139C4×D4—434no—
1140C4×D4—434no—
1141C4×D4—434no—
1142C4×D4—434no—
1143C4×D4—434no—
1144C4×D4—434no—
1145C4×D4—434no—
1146C4×D4—434no—
1147C4×D4—434no—
1148C4×D4—434no—
1149C4×D4—438no—
1150C4×D4—438no—
1151C4×D4—438no—
1152C4×D4—438no—
1153C4×D4—438no—
1154C4×D4—434no—
1155C4×D4—434no—
1156C4×D4—438no—
1157C4×D4—438no—
1158C4×D4—438no—
1159C4×D4—438no—
1160C4×D4—438no—
1161C4×D4C22×D4318yes—
1162C4×D4C22×D4318yes—
1163C4×D4C22×D4318yes—
1164C4×D4C22×D4318yes—
1165#117—432no—
1166#117—432no—
1167#117—434no—
1168#117—434no—
1169#117—432no—
1170#117—432no—
1171#117—434no—
1172#117—438no—
1173#117—434no—
1174#117—434no—
1175#117—438no—
1176#117—438no—
1177#117—438no—
1178#117—438no—
1179#117C22×D4314yes—
1180#117C22×D4314yes—
1181C2×C4⋊C4—432no—
1182C2×C4⋊C4—432no—
1183C2×C4⋊C4—434no—
1184C2×C4⋊C4—434no—
1185C2×C4⋊C4—438no—
1186C2×C4⋊C4—434no—
1187C2×C4⋊C4—434no—
1188C2×C4⋊C4—438no—
1189C2×C4⋊C4C22×D4312yes—
1190C2×C4⋊C4C22×D4314yes—
1191C2×C22⋊C4—434no—
1192C2×C22⋊C4—434no—
1193C2×C22⋊C4—434no—
1194C2×C22⋊C4—434no—
1195C2×C22⋊C4—434no—
1196C2×C22⋊C4—434no—
1197C2×C22⋊C4—438no—
1198C2×C22⋊C4—438no—
1199C2×C22⋊C4—438no—
1200C2×C22⋊C4C22×D4312yes—
1201C2×C22⋊C4C22×D4314yes—
1202C2×C22⋊C4C22×D4314yes—
1203C2×C42—434no—
1204C2×C42C22×D4312yes—
1205C24—42no—
1206C24—44no—
1207C24—434no—
1208C24—434no—
1209C24C23×D4311yescharacteristic
1210C24C23×D4312yes—
1211C24C23×D4312yes—
1212C24C23×D4312yes—
1213C24C23×D4311yescharacteristic
1214C24C23×D4311yescharacteristic
1215#41—48no—
1216#41—48no—
1217#41—868no—
1218#41—868no—
1219#41—1728no—
1220#41—1728no—
1221#41—1728no—
1222#41—1724no—
1223#41—1724no—
1224#41—17216no—
1225#41—1728no—
1226#41—1728no—
1227C2×Q8—24no—
1228C2×Q8—432no—
1229C2×Q8—432no—
1230C2×Q8—438no—
1231C2×Q8—434no—
1232C2×Q8—434no—
1233C2×Q8—1724no—
1234C2×Q8—1728no—
1235C2×Q8C23×D4314yes—
1236C2×D4—24no—
1237C2×D4—44no—
1238C2×D4—48no—
1239C2×D4—434no—
1240C2×D4—434no—
1241C2×D4—434no—
1242C2×D4—434no—
1243C2×D4—434no—
1244C2×D4—434no—
1245C2×D4—434no—
1246C2×D4—438no—
1247C2×D4—434no—
1248C2×D4—434no—
1249C2×D4—434no—
1250C2×D4—438no—
1251C2×D4—434no—
1252C2×D4—434no—
1253C2×D4—438no—
1254C2×D4—432no—
1255C2×D4—432no—
1256C2×D4—438no—
1257C2×D4—434no—
1258C2×D4—434no—
1259C2×D4—1724no—
1260C2×D4—1728no—
1261C2×D4—1728no—
1262C2×D4—17216no—
1263C2×D4—1728no—
1264C2×D4—1728no—
1265C2×D4—1728no—
1266C2×D4C23×D4318yes—
1267C2×D4C23×D4314yes—
1268C2×D4C23×D4318yes—
1269C2×D4C23×D4314yes—
1270C2×D4C23×D4314yes—
1271C22×C4—24no—
1272C22×C4—28no—
1273C22×C4—44no—
1274C22×C4—44no—
1275C22×C4—44no—
1276C22×C4—44no—
1277C22×C4—44no—
1278C22×C4—42no—
1279C22×C4—44no—
1280C22×C4—434no—
1281C22×C4—434no—
1282C22×C4—434no—
1283C22×C4—438no—
1284C22×C4—434no—
1285C22×C4—434no—
1286C22×C4—434no—
1287C22×C4—434no—
1288C22×C4—438no—
1289C22×C4—438no—
1290C22×C4—438no—
1291C22×C4—434no—
1292C22×C4—1728no—
1293C22×C4C23×D4312yes—
1294C22×C4C23×D4311yescharacteristic
1295C22×C4C23×D4312yes—
1296C22×C4C23×D4312yes—
1297C22×C4C23×D4312yes—
1298C22×C4C23×D4312yes—
1299C22×C4C23×D4312yes—
1300C22×C4C23×D4312yes—
1301C22×C4C23×D4312yes—
1302C22×C4C23×D4314yes—
1303C22×C4C23×D4312yes—
1304C22×C4C23×D4312yes—
1305C22×C4C23×D4318yes—
1306C22×C4C23×D4311yescharacteristic
1307C22×C4C23×D4312yes—
1308C22×C4C23×D4312yes—
1309C22×C4C23×D4312yes—
1310C22×C4C23×D4311yescharacteristic
1311C22×C4C23×D4311yescharacteristic
1312C4⋊C4—432no—
1313C4⋊C4—434no—
1314C4⋊C4—434no—
1315C4⋊C4—432no—
1316C4⋊C4—434no—
1317C4⋊C4—438no—
1318C4⋊C4—432no—
1319C4⋊C4—432no—
1320C4⋊C4—434no—
1321C4⋊C4—434no—
1322C4⋊C4—434no—
1323C4⋊C4—434no—
1324C4⋊C4—434no—
1325C4⋊C4—434no—
1326C4⋊C4—434no—
1327C4⋊C4—438no—
1328C4⋊C4—438no—
1329C4⋊C4—438no—
1330C4⋊C4—438no—
1331C4⋊C4—438no—
1332C4⋊C4—438no—
1333C4⋊C4—438no—
1334C4⋊C4—438no—
1335C4⋊C4C23×D4314yes—
1336C4⋊C4C23×D4314yes—
1337C4⋊C4C23×D4318yes—
1338C4⋊C4C23×D4318yes—
1339C22⋊C4—434no—
1340C22⋊C4—434no—
1341C22⋊C4—434no—
1342C22⋊C4—434no—
1343C22⋊C4—434no—
1344C22⋊C4—434no—
1345C22⋊C4—434no—
1346C22⋊C4—434no—
1347C22⋊C4—434no—
1348C22⋊C4—434no—
1349C22⋊C4—434no—
1350C22⋊C4—434no—
1351C22⋊C4—438no—
1352C22⋊C4—434no—
1353C22⋊C4—434no—
1354C22⋊C4—438no—
1355C22⋊C4—434no—
1356C22⋊C4—434no—
1357C22⋊C4—434no—
1358C22⋊C4—438no—
1359C22⋊C4—438no—
1360C22⋊C4—434no—
1361C22⋊C4—434no—
1362C22⋊C4—434no—
1363C22⋊C4—434no—
1364C22⋊C4—438no—
1365C22⋊C4—434no—
1366C22⋊C4—438no—
1367C22⋊C4—438no—
1368C22⋊C4—438no—
1369C22⋊C4C23×D4318yes—
1370C22⋊C4C23×D4318yes—
1371C22⋊C4C23×D4314yes—
1372C22⋊C4C23×D4314yes—
1373C22⋊C4C23×D4318yes—
1374C22⋊C4C23×D4318yes—
1375C42—434no—
1376C42—434no—
1377C42—434no—
1378C42—434no—
1379C42—438no—
1380C42—434no—
1381C42—438no—
1382C42—434no—
1383C42C23×D4318yes—
1384C23—22no—
1385C23—24no—
1386C23—24no—
1387C23—24no—
1388C23—24no—
1389C23—24no—
1390C23—41no—
1391C23—42no—
1392C23—41no—
1393C23—42no—
1394C23—42no—
1395C23—42no—
1396C23—42no—
1397C23—44no—
1398C23—416no—
1399C23—434no—
1400C23—434no—
1401C23—868no—
1402C23—1724no—
1403C23—1724no—
1404C23—1724no—
1405C23—1728no—
1406C23C24×D4311yescharacteristic
1407C23C24×D4311yescharacteristic
1408C23C24×D4312yes—
1409C23C24×D4314yes—
1410C23C24×D4311yescharacteristic
1411C23C24×D4312yes—
1412Q8—28no—
1413Q8—864no—
1414Q8—864no—
1415Q8—1724no—
1416Q8—1724no—
1417Q8—1728no—
1418D4—216no—
1419D4—28no—
1420D4—44no—
1421D4—44no—
1422D4—48no—
1423D4—868no—
1424D4—868no—
1425D4—868no—
1426D4—868no—
1427D4—864no—
1428D4—864no—
1429D4—1724no—
1430D4—1728no—
1431D4—1724no—
1432D4—1728no—
1433D4—1724no—
1434D4—1724no—
1435D4—1724no—
1436D4—1724no—
1437D4—1724no—
1438D4—1724no—
1439D4—1728no—
1440D4—1724no—
1441D4—1724no—
1442D4—1728no—
1443C2×C4—22no—
1444C2×C4—24no—
1445C2×C4—24no—
1446C2×C4—24no—
1447C2×C4—24no—
1448C2×C4—24no—
1449C2×C4—24no—
1450C2×C4—24no—
1451C2×C4—24no—
1452C2×C4—42no—
1453C2×C4—42no—
1454C2×C4—42no—
1455C2×C4—42no—
1456C2×C4—41no—
1457C2×C4—42no—
1458C2×C4—41no—
1459C2×C4—48no—
1460C2×C4—44no—
1461C2×C4—434no—
1462C2×C4—434no—
1463C2×C4—434no—
1464C2×C4—434no—
1465C2×C4—434no—
1466C2×C4—434no—
1467C2×C4—868no—
1468C2×C4—868no—
1469C2×C4—868no—
1470C2×C4—1724no—
1471C2×C4—1724no—
1472C2×C4—1728no—
1473C2×C4—1728no—
1474C2×C4—1728no—
1475C2×C4—1724no—
1476C2×C4—1724no—
1477C2×C4—1724no—
1478C2×C4—1728no—
1479C2×C4#1306337014yes—
1480C2×C4C24×D4312yes—
1481C2×C4C24×D4318yes—
1482C2×C4C24×D4314yes—
1483C2×C4C24×D4312yes—
1484C2×C4C24×D4312yes—
1485C2×C4C24×D4312yes—
1486C22—22no—
1487C22—22no—
1488C22—22no—
1489C22—21no—
1490C22—21no—
1491C22—22no—
1492C22—24no—
1493C22—28no—
1494C22—22no—
1495C22—22no—
1496C22—22no—
1497C22—22no—
1498C22—48no—
1499C22—44no—
1500C22—44no—
1501C22—48no—
1502C22—44no—
1503C22—84no—
1504C22—864no—
1505C22—864no—
1506C22—864no—
1507C22—864no—
1508C22—864no—
1509C22—864no—
1510C22—3448no—
1511C22—6884no—
1512C22C2×#1306337012yes—
1513C22#1458373514yes—
1514C22C25×D4311yescharacteristic
1515C4—22no—
1516C4—22no—
1517C4—22no—
1518C4—24no—
1519C4—28no—
1520C4—864no—
1521C4—864no—
1522C4—864no—
1523C4—864no—
1524C4—864no—
1525C4—864no—
1526C4C2×#1306337014yes—
1527C2—22no—
1528C2—24no—
1529C2—41no—
1530C2—41no—
1531C2—42no—
1532C2—44no—
1533C2—1724no—
1534C2—1724no—
1535C2C22×#1306337011yescharacteristic
1536C2C2×#1458373512yes—
subgroupG/H
center, FrattiniC22C25×D43
commutator, socle, cosocleC22×C43C26
FittingC2×C43×#525C2
hypercenterC2×#525D43
hypocenterC43#62821
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C22 ◁ C2×#525

Complements

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

NH ≅ G/Ntype
1. #19148903C2semidirect
2. #19148880C2semidirect
3. #19148863C2semidirect
4. #19148851C2semidirect
5. #19148766C2semidirect
6. #19148750C2semidirect
7. #19148632C2semidirect
8. #19148615C2semidirect
9. #19148535C2semidirect
10. #19148438C2semidirect
11. #19148423C2semidirect
12. #19148341C2semidirect
13. #19148324C2semidirect
14. #19148315C2semidirect
15. #19148271C2semidirect
16. #19148260C2semidirect
17. #19148253C2semidirect
18. #19148239C2semidirect
19. C2×#14583410C2semidirect
20. C2×C43×#525C2semidirect
21. C2×#13063373C22semidirect
22. C2×#13063370C22semidirect
23. C22×#10621898C22semidirect
24. #14583652C22semidirect
25. #14583646C22semidirect
26. #14583642C22semidirect
27. #14583639C22semidirect
28. #14583638C22semidirect
29. #14583638C22semidirect
30. #14583633C22semidirect
31. #14583632C22semidirect
32. #14583620C22semidirect
33. #14583617C22semidirect
34. #14583617C22semidirect
35. #14583613C22semidirect
36. #14583612C22semidirect
37. #14583612C22semidirect
38. #14583608C22semidirect
39. #14583607C22semidirect
40. #14583601C22semidirect
41. #14583599C22semidirect
42. #14583598C22semidirect
43. #14583598C22semidirect
44. #14583596C22semidirect
45. #14583594C22semidirect
46. #14583593C22semidirect
47. #14583593C22semidirect
48. #14583591C22semidirect
49. #14583588C22semidirect
50. #14583588C22semidirect
51. #14583584C22semidirect
52. #14583583C22semidirect
53. #14583580C22semidirect
54. #14583578C22semidirect
55. #14583578C22semidirect
56. #14583577C22semidirect
57. #14583575C22semidirect
58. #14583575C22semidirect
59. #14583568C22semidirect
60. #14583568C22semidirect
61. #14583567C22semidirect
62. #14583562C22semidirect
63. #14583559C22semidirect
64. #14583556C22semidirect
65. #14583556C22semidirect
66. #14583555C22semidirect
67. #14583551C22semidirect
68. #14583550C22semidirect
69. #14583549C22semidirect
70. #14583548C22semidirect
71. #14583548C22semidirect
72. #14583546C22semidirect
73. #14583544C22semidirect
74. #14583543C22semidirect
75. #14583540C22semidirect
76. #14583539C22semidirect
77. #14583539C22semidirect
78. #14583537C22semidirect
79. #14583537C22semidirect
80. #14583536C22semidirect
81. #14583533C22semidirect
82. D4×C22⋊D43C22semidirect
83. #14583531C22semidirect
84. #14583530C22semidirect
85. #14583522C22semidirect
86. #14583517C22semidirect
87. #14583516C22semidirect
88. #14583514C22semidirect
89. #14583509C22semidirect
90. #14583502C22semidirect
91. #14583501C22semidirect
92. #14583500C22semidirect
93. #14583492C22semidirect
94. #14583491C22semidirect
95. #14583491C22semidirect
96. #14583487C22semidirect
97. #14583485C22semidirect
98. #14583484C22semidirect
99. #14583484C22semidirect
100. #14583482C22semidirect
101. #14583482C22semidirect
102. #14583480C22semidirect
103. #14583479C22semidirect
104. #14583478C22semidirect
105. #14583473C22semidirect
106. #14583472C22semidirect
107. #14583466C22semidirect
108. #14583466C22semidirect
109. #14583465C22semidirect
110. #14583464C22semidirect
111. #14583459C22semidirect
112. #14583458C22semidirect
113. #14583451C22semidirect
114. #14583444C22semidirect
115. #14583435C22semidirect
116. #14583433C22semidirect
117. #14583430C22semidirect
118. #14583412C22semidirect
120. #14583410C22semidirect
121. #14583410C22semidirect
122. #14583410C22semidirect
123. #14583410C22semidirect
124. #14583410C22semidirect
125. #14583410C22semidirect
126. #14583410C22semidirect
127. #14583410C22semidirect
128. #14583410C22semidirect
129. #14583410C22semidirect
130. #14583410C22semidirect
131. #14583410C22semidirect
132. #14583409C22semidirect
133. C2×#13063308C22semidirect
134. C2×#13063308C22semidirect
135. C2×#13063304C22semidirect
136. C2×#13063304C22semidirect
137. C22⋊Q8×D43C22semidirect
138. C2×#13063299C22semidirect
139. C2×#13063299C22semidirect
140. #121×D43C22semidirect
141. C2×#13063294C22semidirect
142. #14583380C22semidirect
143. #14583380C22semidirect
144. #14583378C22semidirect
145. #14583377C22semidirect
146. #14583374C22semidirect
147. #14583371C22semidirect
148. C2×C4×C22⋊D43C22semidirect
149. C2×C4×C22⋊D43C22semidirect
150. C2×#13063284C22semidirect
151. C22×#41×C43C22semidirect
152. C24×C4×C43C22semidirect
153. C43×#525C22semidirect
154. C43×#525C22semidirect
155. C43×#525C22semidirect
156. C43×#525C22semidirect
157. C2×#123×C43C22semidirect
158. C2×C22⋊Q8×C43C22semidirect
159. C2×#121×C43C22semidirect
160. C2×#120×C43C22semidirect
161. C2×C4×D4×C43C22semidirect
162. C2×#117×C43C22semidirect
165. C2×#10621902C23semidirect
175. C2×#10621900C23semidirect
177. C2×Q8×D43C23semidirect
184. C2×D4×D43C23semidirect
186. #13063324C23semidirect
187. #13063324C23semidirect
188. #13063324C23semidirect
189. #13063323C23semidirect
193. #13063321C23semidirect
194. #13063320C23semidirect
195. #13063320C23semidirect
196. #13063319C23semidirect
197. #13063319C23semidirect
202. #13063318C23semidirect
203. #13063318C23semidirect
204. #13063317C23semidirect
205. #13063316C23semidirect
206. #13063316C23semidirect
207. #13063316C23semidirect
208. #13063315C23semidirect
209. #13063315C23semidirect
210. #13063314C23semidirect
211. #13063313C23semidirect
215. #13063312C23semidirect
220. #13063311C23semidirect
221. #13063311C23semidirect
222. #13063310C23semidirect
223. #13063310C23semidirect
225. #13063309C23semidirect
235. #13063308C23semidirect
236. #13063308C23semidirect
241. #13063307C23semidirect
242. #13063307C23semidirect
247. #13063305C23semidirect
248. #13063305C23semidirect
249. #13063305C23semidirect
263. #13063304C23semidirect
264. #13063303C23semidirect
265. #13063303C23semidirect
268. #13063302C23semidirect
269. #13063302C23semidirect
270. #13063301C23semidirect
271. #13063301C23semidirect
272. #13063300C23semidirect
273. #13063300C23semidirect
274. #13063300C23semidirect
288. #13063299C23semidirect
293. #13063298C23semidirect
294. #13063298C23semidirect
305. #13063296C23semidirect
306. #13063296C23semidirect
308. #13063295C23semidirect
322. Q8×Dic43C23semidirect
323. Q8×Dic43C23semidirect
324. C4×Dic86C23semidirect
325. #13063290C23semidirect
326. #13063290C23semidirect
327. #13063290C23semidirect
328. C4×D172C23semidirect
331. D4×Dic43C23semidirect
332. D4×Dic43C23semidirect
333. #13063287C23semidirect
334. #13063287C23semidirect
335. #13063287C23semidirect
354. C4×C22⋊D43C23semidirect
355. C4×C22⋊D43C23semidirect
358. (C22⋊D43)⋊C4C23semidirect
359. (C22⋊D43)⋊C4C23semidirect
367. #13063283C23semidirect
368. #13063283C23semidirect
369. #13063283C23semidirect
370. #13063282C23semidirect
371. #13063282C23semidirect
373. #13063281C23semidirect
378. C2×Dic43⋊C4C23semidirect
379. C4⋊C4×D43C23semidirect
380. C4⋊C4×D43C23semidirect
381. C4⋊C4×D43C23semidirect
388. C2×(C2×D43)⋊C4C23semidirect
390. C22⋊C4×D43C23semidirect
778. C2×#525D43semidirect
792. C22×#41C2×D43semidirect
793. C24×C4C2×D43semidirect
903. #525C2×D43semidirect
904. #525C2×D43semidirect
905. #525C2×D43semidirect
906. #525C2×D43semidirect
909. C2×#123C2×D43semidirect
913. C2×C22⋊Q8C2×D43semidirect
917. C2×#121C2×D43semidirect
919. C2×#120C2×D43semidirect
928. C2×C4×D4C2×D43semidirect
930. C2×#117C2×D43semidirect
931. C43#62821semidirect

Maximal subgroups

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

subgroupindex
#191489032
#191488802
#191488632
#191488512
#191487662
#191487502
#191486322
#191486152
#191485352
#191484382
#191484232
#191483412
#191483242
#191483152
#191482712
#191482602
#191482532
#191482392
C2×#145834102
C2×C43×#5252
#6282143