Finite Group Databasebeta

← #26005266

Subgroups — #26005266

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#19148909C214yesmaximal, complemented
2#19148878C214yesmaximal, complemented
3#19148859C214yesmaximal, complemented
4#19148850C214yesmaximal, complemented
5#19148756C214yesmaximal, complemented
6#19148747C214yesmaximal, complemented
7#19148647C214yesmaximal, complemented
8#19148624C214yesmaximal, complemented
9#19148527C218yesmaximal, complemented
10#19148445C214yesmaximal, complemented
11#19148422C214yesmaximal, complemented
12#19148344C212yesmaximal, complemented
13#19148320C212yesmaximal, complemented
14#19148312C212yesmaximal, complemented
15#19148273C212yesmaximal, complemented
16#19148257C212yesmaximal, complemented
17#19148253C211yesmaximal, characteristic, complemented
18C2×#14583406C211yesmaximal, characteristic, complemented
19#525×D43C212yesmaximal, complemented
20C43×#3485C211yesmaximal, characteristic, complemented
21C2×#13063373C2211yescharacteristic, complemented
22C2×#41×D43C2212yescomplemented
23C23×C4×D43C2211yescharacteristic, complemented
24#14583652C2214yescomplemented
25#14583644C2218yescomplemented
26#14583642C2214yescomplemented
27#14583639C2214yescomplemented
28#14583638C2214yescomplemented
29#14583637C2218yescomplemented
30#14583633C2214yescomplemented
31#14583633C2218yescomplemented
32#14583620C2214yescomplemented
33#14583620C2214yescomplemented
34#14583619C2214yescomplemented
35#14583614C2214yescomplemented
36#14583614C2214yescomplemented
37#14583613C2214yescomplemented
38#14583607C2214yescomplemented
39#14583604C2218yescomplemented
40#14583599C2214yescomplemented
41#14583599C2214yescomplemented
42#14583597C2218yescomplemented
43#14583596C2214yescomplemented
44#14583596C2218yescomplemented
45#14583595C2214yescomplemented
46#14583594C2218yescomplemented
47#14583594C2218yescomplemented
48#14583591C2214yescomplemented
49#14583589C2214yescomplemented
50#14583586C2218yescomplemented
51#14583583C2214yescomplemented
52#14583583C2214yescomplemented
53#14583580C2214yescomplemented
54#14583577C2214yescomplemented
55#14583577C2218yescomplemented
56#14583575C2218yescomplemented
57#14583575C2218yescomplemented
58#14583572C2218yescomplemented
59#14583568C2214yescomplemented
60#14583568C2214yescomplemented
61#14583568C2214yescomplemented
62#14583564C2214yescomplemented
63#14583557C2214yescomplemented
64#14583556C2214yescomplemented
65#14583556C2214yescomplemented
66#14583556C2214yescomplemented
67#14583554C2214yescomplemented
68#14583552C2214yescomplemented
69#14583547C2218yescomplemented
70#14583546C2218yescomplemented
71#14583543C2218yescomplemented
72#14583543C2214yescomplemented
73#14583542C2214yescomplemented
74#14583541C2218yescomplemented
75#14583539C2218yescomplemented
76#14583539C2218yescomplemented
77D4×C22⋊D43C2218yescomplemented
78D4×C22⋊D43C2214yescomplemented
79#14583531C2214yescomplemented
80#14583527C2212yescomplemented
81#14583518C2214yescomplemented
82#14583517C2218yescomplemented
83#14583516C2218yescomplemented
84#14583514C2214yescomplemented
85#14583510C2214yescomplemented
86#14583501C2218yescomplemented
87#14583500C2214yescomplemented
88#14583499C2218yescomplemented
89#14583496C2218yescomplemented
90#14583492C2218yescomplemented
91#14583492C2218yescomplemented
92#14583487C2218yescomplemented
93#14583485C2218yescomplemented
94#14583485C2218yescomplemented
95#14583484C2218yescomplemented
96#14583484C2218yescomplemented
97#14583481C2218yescomplemented
98#14583479C2214yescomplemented
99#14583477C2212yescomplemented
100#14583477C2214yescomplemented
101#14583472C2214yescomplemented
102#14583466C2214yescomplemented
103#14583466C2212yescomplemented
104#14583466C2214yescomplemented
105#14583465C2218yescomplemented
106#14583459C2218yescomplemented
107#14583454C2214yescomplemented
108#14583446C2214yescomplemented
109#14583431C2214yescomplemented
110#14583428C2214yescomplemented
111#14583426C2218yescomplemented
112#14583412C2212yescomplemented
113#14583412C2212yescomplemented
114#14583412C2214yescomplemented
115#14583411C2212yescomplemented
116#14583410C2212yescomplemented
117#14583410C2214yescomplemented
118#14583409C2212yescomplemented
119#14583409C2212yescomplemented
120#14583408C2214yescomplemented
121#14583408C2214yescomplemented
122#14583407C2214yescomplemented
123#14583406C2212yes—
124#14583406C2214yescomplemented
125#14583406C2214yescomplemented
126#14583406C2214yescomplemented
127#14583406C2214yescomplemented
128#14583406C2214yescomplemented
129#14583405C2214yescomplemented
130C2×#13063306C2212yescomplemented
131#123×D43C2214yescomplemented
132C2×#13063301C2212yescomplemented
133C22⋊Q8×D43C2212yescomplemented
134C22⋊Q8×D43C2212yescomplemented
135C22⋊Q8×D43C2214yescomplemented
136C2×#13063296C2212yescomplemented
137C2×#13063296C2214yescomplemented
138#121×D43C2212yescomplemented
139#121×D43C2212yescomplemented
140C2×#13063293C2212yescomplemented
141#120×D43C2214yescomplemented
142#14583382C2212yescomplemented
143#14583380C2218yescomplemented
144#14583379C2212yescomplemented
145#14583377C2211yescharacteristic, complemented
146#14583372C2218yescomplemented
147C2×C4×C22⋊D43C2214yescomplemented
148C4×D4×D43C2214yescomplemented
149C4×D4×D43C2214yescomplemented
150C2×#13063284C2211yescharacteristic, complemented
151#117×D43C2212yescomplemented
152C2×H(5,𝔽2)×C43C2211yescharacteristic, complemented
153C22×#41×C43C2211yescharacteristic, complemented
154C43×#547C2214yescomplemented
155C43×#547C2214yescomplemented
156C43×#546C2214yescomplemented
157C43×#546C2214yescomplemented
158C43×#536C2212yescomplemented
159C43×#534C2214yescomplemented
160C43×#525C2212yescomplemented
161C2×#123×C43C2214yescomplemented
162C43×#518C2211yescharacteristic, complemented
163C24×D43C2311yescharacteristic
164#13063373—44no—
165C2×#10621902C2312yes—
166C2×#10621902C2314yescomplemented
167C2×#10621898C2312yes—
168C2×#10621898C2318yes—
169C2×#10621898C2314yes—
170C2×#10621898C2314yes—
171C2×#10621900C2312yes—
172C2×#10621900C2314yes—
173#41×D43—48no—
174C2×Q8×D43C2312yes—
175C2×Q8×D43C2314yescomplemented
176C22×C22⋊D43C2314yes—
177C22×C22⋊D43C2318yes—
178C2×D4×D43C2314yes—
179C2×D4×D43C2314yes—
180C2×D4×D43C2314yes—
181C2×D4×D43C2312yes—
182C23×Dic43C2311yescharacteristic
183C22×C4×D43—44no—
184C22×C4×D43C2312yes—
185C22×C4×D43C2312yes—
186C22×C4×D43C2314yes—
187C22×C4×D43C2312yes—
188C22×C4×D43C2312yes—
189C22×C4×D43C2312yes—
190C22×C4×D43C2312yes—
191#13063325C2314yescomplemented
192#13063324C2318yescomplemented
193#13063324C2314yescomplemented
194#13063321C2314yes—
195#13063321C2314yes—
196#13063321C2318yes—
197#13063321C2314yescomplemented
198#13063320C2318yes—
199#13063320C2318yes—
200#13063320C2318yescomplemented
201#13063318C2318yes—
202#13063318C2318yes—
203#13063318C2318yescomplemented
204#13063318C2318yescomplemented
205#13063318C2318yescomplemented
206#13063318C2318yescomplemented
207#13063318C2318yescomplemented
208#13063317C2314yescomplemented
209#13063316C2314yescomplemented
210#13063316C2318yescomplemented
211#13063315C2318yescomplemented
212#13063315C2318yescomplemented
213#13063315C2318yescomplemented
214#13063312C2314yes—
215#13063312C2314yes—
216#13063312C2318yes—
217#13063312C2314yescomplemented
218#13063312C2318yescomplemented
219#13063311C2318yes—
220#13063311C2318yes—
221#13063311C2318yes—
222#13063311C2318yes—
223#13063311C2318yescomplemented
224#13063311C2318yescomplemented
225#13063310C2318yes—
226#13063310C2314yes—
227#13063310C2314yes—
228#13063310C2318yescomplemented
229#13063309C2318yes—
230#13063309C2314yes—
231#13063308C2318yes—
232#13063308C2314yes—
233#13063308C2318yescomplemented
234#13063307C2318yes—
235#13063307C2318yes—
236#13063307C2314yes—
237#13063307C2318yes—
238#13063307C2314yes—
239#13063307C2318yescomplemented
240#13063307C2318yescomplemented
241#13063306C2318yes—
242#13063306C2314yes—
243#13063306C2314yes—
244#13063306C2314yes—
245#13063306C2318yes—
246#13063306C2318yescomplemented
247#13063305C2318yes—
248#13063305C2312yes—
249#13063305C2312yes—
250#13063304C2312yes—
251#13063304C2312yes—
252#13063304C2318yescomplemented
253#13063304C2318yescomplemented
254#13063304C2314yescomplemented
255#13063304C2318yescomplemented
256#13063303C2318yes—
257#13063303C2314yes—
258#13063303C2314yes—
259#13063303C2318yescomplemented
260#13063302C2318yes—
261#13063302C2314yes—
262#13063302C2314yes—
263#13063302C2318yescomplemented
264#13063302C2318yescomplemented
265#13063301C2314yes—
266#13063301C2314yes—
267#13063301C2314yes—
268#13063301C2312yes—
269#13063301C2312yes—
270#13063301C2314yes—
271#13063301C2314yescomplemented
272#13063300C2318yes—
273#13063300C2312yes—
274#13063300C2312yes—
275#13063299C2312yes—
276#13063299C2312yes—
277#13063299C2318yes—
278#13063299C2318yes—
279#13063299C2318yescomplemented
280#13063299C2314yescomplemented
281#13063298C2318yes—
282#13063298C2314yes—
283#13063298C2318yes—
284#13063298C2318yes—
285#13063298C2314yes—
286#13063298C2318yescomplemented
287#13063297C2318yes—
288#13063297C2318yes—
289#13063297C2314yes—
290#13063297C2314yes—
291#13063297C2318yes—
292#13063297C2318yescomplemented
293#13063296C2314yes—
294#13063296C2318yes—
295#13063296C2318yes—
296#13063296C2318yes—
297#13063296C2314yes—
298#13063296C2318yes—
299#13063296C2312yes—
300#13063296C2312yes—
301#13063296C2314yes—
302#13063296C2314yes—
303#13063296C2314yescomplemented
304#13063296C2314yescomplemented
305#13063296C2314yescomplemented
306#13063296C2318yescomplemented
307#13063295C2314yes—
308#13063295C2314yes—
309#13063295C2314yes—
310#13063295C2318yes—
311#13063294C2318yes—
312#13063294C2318yes—
313#13063294C2314yes—
314#13063294C2318yescomplemented
315#13063293C2314yes—
316#13063293C2314yes—
317#13063293C2318yes—
318#13063293C2314yes—
319#13063293C2314yes—
320#13063293C2314yes—
321#13063293C2318yes—
322Q8×Dic43C2314yescomplemented
323Q8×Dic43C2314yescomplemented
324Q8×Dic43C2314yescomplemented
325C4×Dic86C2314yescomplemented
326#13063290C2318yescomplemented
327#13063290C2318yescomplemented
328C4×D172C2314yes—
329C4×D172C2314yes—
330C4×D172C2314yescomplemented
331D4×Dic43C2318yes—
332D4×Dic43C2314yes—
333D4×Dic43C2314yes—
334D4×Dic43C2314yescomplemented
335#13063287C2318yes—
336#13063287C2314yes—
337#13063287C2314yes—
338C4×C22⋊D43C2314yes—
339C4×C22⋊D43C2314yes—
340C4×C22⋊D43C2318yes—
341C4×C22⋊D43C2314yes—
342C4×C22⋊D43C2314yes—
343C4×C22⋊D43C2318yes—
344C4×C22⋊D43C2318yes—
345C4×C22⋊D43C2318yes—
346C4×C22⋊D43C2318yes—
347C4×C22⋊D43C2318yes—
348C4×C22⋊D43C2318yescomplemented
349C4×C22⋊D43C2318yescomplemented
350C4×C22⋊D43C2318yescomplemented
351C4×C22⋊D43C2318yescomplemented
352(C22⋊D43)⋊C4C2318yes—
353(C22⋊D43)⋊C4C2314yes—
354(C22⋊D43)⋊C4C2318yes—
355(C22⋊D43)⋊C4C2314yes—
356(C22⋊D43)⋊C4C2314yes—
357(C22⋊D43)⋊C4C2314yes—
358(C22⋊D43)⋊C4C2318yescomplemented
359(C22⋊D43)⋊C4C2318yescomplemented
360#13063284C2314yes—
361#13063284C2314yes—
362#13063284C2314yes—
363#13063284C2312yes—
364#13063284C2318yescomplemented
365#13063284C2314yescomplemented
366#13063283C2318yes—
367#13063283C2312yes—
368#13063283C2312yes—
369#13063283C2318yescomplemented
370#13063283C2314yescomplemented
371#13063282C2314yes—
372#13063281C2314yes—
373#13063281C2318yescomplemented
374#13063281C2318yescomplemented
375C2×C4⋊Dic43C2312yes—
376C2×C4⋊Dic43C2314yescomplemented
377C2×Dic43⋊C4C2314yes—
378C4⋊C4×D43C2312yes—
379C4⋊C4×D43C2314yes—
380C4⋊C4×D43C2312yes—
381C4⋊C4×D43C2314yes—
382C4⋊C4×D43C2318yescomplemented
383C4⋊C4×D43C2314yescomplemented
384C2×C22⋊Dic43C2314yes—
385C2×C22⋊Dic43C2312yes—
386C2×C22⋊Dic43C2318yescomplemented
387C2×(C2×D43)⋊C4C2314yes—
388C22⋊C4×D43C2314yes—
389C22⋊C4×D43C2314yes—
390C22⋊C4×D43C2314yes—
391C22⋊C4×D43C2318yes—
392C22⋊C4×D43C2314yes—
393C22⋊C4×D43C2314yes—
394C2×C4×Dic43C2312yes—
395C42×D43C2314yes—
396H(5,𝔽2)×C43—44no—
397C2×#41×C43—44no—
398C2×#41×C43C2312yes—
399C2×#41×C43C2314yes—
400C2×#41×C43C2314yes—
401C2×#41×C43C2314yescomplemented
402C22×Q8×C43C2311yescharacteristic
403C22×D4×C43C2311yescharacteristic
404C22×D4×C43C2314yes—
405C22×D4×C43C2312yes—
406C22×D4×C43C2314yescomplemented
407C23×C4×C43C2311yescharacteristic
408C23×C4×C43C2312yes—
409C4⋊Q8×C43C2314yescomplemented
410#124×C43C2314yescomplemented
411#123×C43C2318yes—
412#123×C43C2314yes—
413#123×C43C2314yes—
414#123×C43C2314yes—
415#123×C43C2318yescomplemented
416#123×C43C2318yescomplemented
417C22⋊Q8×C43C2312yes—
418C22⋊Q8×C43C2312yes—
419C22⋊Q8×C43C2314yescomplemented
420C22⋊Q8×C43C2314yescomplemented
421#121×C43C2312yes—
422#121×C43C2312yes—
423#121×C43C2318yes—
424#121×C43C2318yes—
425#120×C43C2314yes—
426#120×C43C2314yes—
427#120×C43C2314yes—
428C4×D4×C43C2314yes—
429C4×D4×C43C2314yes—
430C4×D4×C43C2314yescomplemented
431C4×D4×C43C2314yescomplemented
432#117×C43C2312yes—
433C2×C4⋊C4×C43C2318yescomplemented
434C2×C22⋊C4×C43C2314yes—
435C2×C22⋊C4×C43C2318yescomplemented
436C24×C43C2412yes—
437C24×C43C2411yescharacteristic
438C24×C43C2414yes—
439C23×D43—44no—
440C23×D43—42no—
441C23×D43C2411yescharacteristic
442C23×D43C2412yes—
443C23×D43C2414yes—
444C23×D43C2412yes—
445C23×D43C2411yescharacteristic
446#41×C43—28no—
447#41×C43—48no—
448#41×C43—48no—
449#41×C43—48no—
450C2×Q8×C43—24no—
451C2×Q8×C43C2412yes—
452C2×Q8×C43C2414yes—
453C2×D4×C43—24no—
454C2×D4×C43—44no—
455C2×D4×C43—48no—
456C2×D4×C43—48no—
457C2×D4×C43C2414yes—
458C2×D4×C43C2414yes—
459C2×D4×C43C2412yes—
460C2×D4×C43C2414yes—
461C2×D4×C43C2414yes—
462C2×D4×C43C2414yes—
463C2×D4×C43C2414yes—
464C2×D4×C43C2418yes—
465C22×C4×C43—24no—
466C22×C4×C43—44no—
467C22×C4×C43C2412yes—
468C22×C4×C43C2412yes—
469C22×C4×C43C2414yes—
470C22×C4×C43C2411yescharacteristic
471C22×C4×C43C2412yes—
472C22×C4×C43C2418yes—
473C22×C4×C43C2418yes—
474C22×C4×C43C2414yes—
475C22×C4×C43C2411yescharacteristic
476C2×C22⋊D43—48no—
477C2×C22⋊D43—416no—
478C2×C22⋊D43C2414yes—
479C2×C22⋊D43C2414yes—
480C2×C22⋊D43C2418yes—
481C2×C22⋊D43C2414yes—
482C2×C22⋊D43C2414yes—
483C2×C22⋊D43C2414yes—
484C2×C22⋊D43C2418yes—
485C2×C22⋊D43C2418yes—
486C2×C22⋊D43C2418yes—
487C2×C22⋊D43C2418yes—
488C2×C22⋊D43C2414yes—
489C2×C22⋊D43C2414yes—
490C22×Dic43—42no—
491C22×Dic43C2412yes—
492C22×Dic43C2414yes—
493C22×Dic43C2414yes—
494C22×Dic43C2418yes—
495C22×Dic43C2411yescharacteristic
496C22×Dic43C2412yes—
497C22×Dic43C2411yescharacteristic
498#10621902—44no—
499#10621902—48no—
500Q8×D43—44no—
501Q8×D43—48no—
502#10621900—44no—
503#10621900—48no—
504D4×D43—48no—
505D4×D43—48no—
506D4×D43—48no—
507D4×D43—44no—
508#10621898—28no—
509#10621898—48no—
510#10621898—416no—
511#10621898—48no—
512C2×D172C2414yes—
513C2×D172C2412yes—
514C2×D172C2414yes—
515C2×D172C2414yes—
516C2×D172C2414yes—
517C2×C4×D43—28no—
518C2×C4×D43—44no—
519C2×C4×D43—44no—
520C2×C4×D43—44no—
521C2×C4×D43—44no—
522C2×C4×D43—44no—
523C2×C4×D43—48no—
524C2×C4×D43C2412yes—
525C2×C4×D43C2414yes—
526C2×C4×D43C2412yes—
527C2×C4×D43C2414yes—
528C2×C4×D43C2412yes—
529C2×C4×D43C2412yes—
530C2×C4×D43C2414yes—
531C2×C4×D43C2412yes—
532C2×C4×D43C2412yes—
533C2×C4×D43C2414yes—
534C2×C4×D43C2418yes—
535C2×C4×D43C2418yes—
536C2×C4×D43C2414yes—
537C2×C4×D43C2412yes—
538C2×C4×D43C2412yes—
539C2×Dic86C2412yes—
540C2×Dic86C2418yes—
541C2×Dic86C2414yes—
542C2×Dic86C2414yes—
543C4⋊C4×C43C2414yes—
544C4⋊C4×C43C2414yes—
545C4⋊C4×C43C2418yes—
546C4⋊C4×C43C2418yes—
547C4⋊C4×C43C2412yes—
548C4⋊C4×C43C2412yes—
549C22⋊C4×C43C2414yes—
550C22⋊C4×C43C2414yes—
551C22⋊C4×C43C2414yes—
552C22⋊C4×C43C2414yes—
553C22⋊C4×C43C2414yes—
554C22⋊C4×C43C2418yes—
555C22⋊C4×C43C2418yes—
556C22⋊C4×C43C2414yes—
557C22⋊C4×C43C2414yes—
558C42×C43C2414yes—
559C22⋊Dic43C2414yes—
560C22⋊Dic43C2418yes—
561C22⋊Dic43C2414yes—
562C22⋊Dic43C2414yes—
563C22⋊Dic43C2414yes—
564C22⋊Dic43C2414yes—
565C22⋊Dic43C2418yes—
566C22⋊Dic43C2414yes—
567C22⋊Dic43C2414yes—
568C22⋊Dic43C2418yes—
569C22⋊Dic43C2418yes—
570C22⋊Dic43C2418yes—
571C22⋊Dic43C2418yes—
572(C2×D43)⋊C4C2414yes—
573(C2×D43)⋊C4C2418yes—
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)⋊C4C2414yes—
581(C2×D43)⋊C4C2414yes—
582(C2×D43)⋊C4C2414yes—
583(C2×D43)⋊C4C2418yes—
584(C2×D43)⋊C4C2418yes—
585(C2×D43)⋊C4C2418yes—
586C4⋊Dic43C2414yes—
587C4⋊Dic43C2412yes—
588C4⋊Dic43C2412yes—
589C4⋊Dic43C2414yes—
590C4⋊Dic43C2414yes—
591C4⋊Dic43C2414yes—
592C4⋊Dic43C2418yes—
593C4⋊Dic43C2418yes—
594C4⋊Dic43C2418yes—
595Dic43⋊C4C2414yes—
596Dic43⋊C4C2414yes—
597Dic43⋊C4C2414yes—
598Dic43⋊C4C2414yes—
599Dic43⋊C4C2414yes—
600Dic43⋊C4C2414yes—
601Dic43⋊C4C2418yes—
602Dic43⋊C4C2418yes—
603Dic43⋊C4C2418yes—
604Dic43⋊C4C2418yes—
605Dic43⋊C4C2418yes—
606Dic43⋊C4C2418yes—
607C4×Dic43C2414yes—
608C4×Dic43C2414yes—
609C4×Dic43C2414yes—
610C4×Dic43C2418yes—
611C4×Dic43C2414yes—
612C4×Dic43C2418yes—
613C4×Dic43C2414yes—
614C4×Dic43C2418yes—
615C23×C43—22no—
616C23×C43—24no—
617C23×C43—42no—
618C23×C43—44no—
619C23×C43—48no—
620C23×C43—44no—
621C23×C43C2511yescharacteristic
622C23×C43C2511yescharacteristic
623C23×C43C2514yes—
624C23×C43C2514yes—
625C23×C43C2511yescharacteristic
626C22×D43—24no—
627C22×D43—24no—
628C22×D43—24no—
629C22×D43—24no—
630C22×D43—28no—
631C22×D43—41no—
632C22×D43—42no—
633C22×D43—41no—
634C22×D43—42no—
635C22×D43—42no—
636C22×D43—42no—
637C22×D43—44no—
638C22×D43—44no—
639C22×D43—416no—
640C22×D43C2512yes—
641C22×D43C2514yes—
642C22×D43C2512yes—
643Q8×C43—28no—
644Q8×C43—24no—
645D4×C43—28no—
646D4×C43—24no—
647D4×C43—28no—
648D4×C43—44no—
649D4×C43—44no—
650D4×C43—48no—
651D4×C43—44no—
652D4×C43—44no—
653C2×C4×C43—22no—
654C2×C4×C43—24no—
655C2×C4×C43—24no—
656C2×C4×C43—24no—
657C2×C4×C43—28no—
658C2×C4×C43—48no—
659C2×C4×C43—48no—
660C2×C4×C43—44no—
661C2×C4×C43H(5,𝔽2)14yes—
662C2×C4×C43C2512yes—
663C2×C4×C43C2514yes—
664C2×C4×C43C2514yes—
665C2×C4×C43C2514yes—
666C2×C4×C43C2514yes—
667C2×C4×C43C2512yes—
668C22⋊D43—28no—
669C22⋊D43—216no—
670C22⋊D43—28no—
671C22⋊D43—44no—
672C22⋊D43—44no—
673C22⋊D43—48no—
674C22⋊D43—44no—
675C22⋊D43—44no—
676C22⋊D43—44no—
677C22⋊D43—48no—
678C22⋊D43—48no—
679C22⋊D43—48no—
680C2×Dic43—24no—
681C2×Dic43—41no—
682C2×Dic43—42no—
683C2×Dic43—41no—
684C2×Dic43—44no—
685C2×Dic43—44no—
686C2×Dic43—48no—
687C2×Dic43C2514yes—
688C2×Dic43C2514yes—
689C2×Dic43C2518yes—
690C2×Dic43C2512yes—
691C2×Dic43C2514yes—
692C2×Dic43C2512yes—
693D172—28no—
694D172—24no—
695D172—44no—
696D172—44no—
697D172—44no—
698C4×D43—28no—
699C4×D43—24no—
700C4×D43—24no—
701C4×D43—24no—
702C4×D43—24no—
703C4×D43—28no—
704C4×D43—42no—
705C4×D43—42no—
706C4×D43—42no—
707C4×D43—42no—
708C4×D43—44no—
709C4×D43—44no—
710C4×D43—48no—
711C4×D43—48no—
712C4×D43—44no—
713Dic86—24no—
714Dic86—48no—
715Dic86—44no—
716Dic86—44no—
717#62821—431nomaximal, Sylow
718C22×C43—22no—
719C22×C43—21no—
720C22×C43—21no—
721C22×C43—24no—
722C22×C43—24no—
723C22×C43—22no—
724C22×C43—22no—
725C22×C43—24no—
726C22×C43—24no—
727C22×C43—28no—
728C22×C43—44no—
729C22×C43—84no—
730C22×C43—164no—
731C22×C43C2×H(5,𝔽2)12yes—
732C22×C43C2611yescharacteristic
733C2×D43—22no—
734C2×D43—22no—
735C2×D43—22no—
736C2×D43—24no—
737C2×D43—22no—
738C2×D43—22no—
739C2×D43—24no—
740C2×D43—24no—
741C2×D43—44no—
742C2×D43—48no—
743C2×D43—48no—
744C2×D43—44no—
745C2×D43—88no—
746C2×D43#58514yes—
747C4×C43—24no—
748C4×C43—24no—
749C4×C43—22no—
750C4×C43—24no—
751C4×C43—24no—
752C4×C43C2×H(5,𝔽2)14yes—
753Dic43—24no—
754Dic43—22no—
755Dic43—22no—
756Dic43—24no—
757Dic43—28no—
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#3485D4311yescharacteristic, complemented
777C2×#525—431no—
778C2×#525—432no—
779C2×C43—22no—
780C2×C43—41no—
781C2×C43—41no—
782C2×C43—44no—
783C2×C43—44no—
784C2×C43C22×H(5,𝔽2)11yescharacteristic
785C2×C43C2×#58512yes—
786D43—24no—
787D43—42no—
788D43—44no—
789C2×2−1+4—431no—
790C2×H(5,𝔽2)C2×D4311yescharacteristic, complemented
791C22×#41—432no—
792C22×#41C2×D4311yescharacteristic, complemented
793C24×C4—431no—
794#563—434no—
795#562—438no—
796H(3,𝔽4)—434no—
797#560—434no—
798#560—438no—
799#560—434no—
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—438no—
812#553—434no—
813#553—438no—
814#553—434no—
815#553—434no—
816#553—434no—
817#553—438no—
818#552—438no—
819#552—434no—
820#552—434no—
821#552—434no—
822#552—434no—
823#551—438no—
824#551—434no—
825#551—438no—
826#551—434no—
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—438no—
839#547—434no—
840#547C2×D4314yescomplemented
841#547C2×D4314yescomplemented
842#546—438no—
843#546—434no—
844#546—434no—
845#546—438no—
846#546—438no—
847#546—438no—
848#546—438no—
849#546C2×D4314yescomplemented
850#546C2×D4314yescomplemented
851D42—438no—
852D42—434no—
853D42—434no—
854#544—432no—
855#542—434no—
856#542—438no—
857#542—438no—
858#542—434no—
859#541—434no—
860#540—438no—
861#540—438no—
862#540—434no—
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—432no—
873#537—434no—
874#537—434no—
875#536—434no—
876#536C2×D4312yescomplemented
877#535—432no—
878#535—434no—
879#535—434no—
880#535—438no—
881#534—438no—
882#534C2×D4314yescomplemented
883#533—434no—
884#532—434no—
885#529—434no—
886#529—438no—
887#529—434no—
888#525—432no—
889#525—434no—
890#525—434no—
891#525—434no—
892#525—434no—
893#525—434no—
894#525—432no—
895#525—434no—
896#525—434no—
897#525—432no—
898#525—432no—
899#525—434no—
900#525—432no—
901#525—432no—
902#525—434no—
903#525—434no—
904#525—434no—
905#525—432no—
906#525C2×D4312yescomplemented
907C2×#123—432no—
908C2×#123—434no—
909C2×#123C2×D4314yescomplemented
910C2×C22⋊Q8—432no—
911C2×C22⋊Q8—432no—
912C2×C22⋊Q8—432no—
913C2×C22⋊Q8—434no—
914C2×#121—432no—
915C2×#121—434no—
916C2×#121—432no—
917C2×#121—432no—
918C2×#120—432no—
919C2×#120—434no—
920#520—432no—
921#520—432no—
922#520—438no—
923#519—431no—
924#518—438no—
925#518C2×D4311yescharacteristic, complemented
926C2×C4×D4—434no—
927C2×C4×D4—434no—
928C2×C4×D4—434no—
929C2×#117—431no—
930C2×#117—432no—
931C43#6282111yescharacteristic, complemented, Sylow
932C25—431no—
9332−1+4—1724no—
934H(5,𝔽2)—44no—
935C2×#41—44no—
936C2×#41—432no—
937C2×#41—434no—
938C2×#41—434no—
939C2×#41—432no—
940C2×#41—432no—
941C2×#41—438no—
942C2×#41—434no—
943C2×#41—434no—
944C2×#41—1728no—
945C2×#41C22×D4312yes—
946C2×#41C22×D4314yes—
947C2×#41C22×D4314yes—
948C2×#41C22×D4314yescomplemented
949C22×Q8—432no—
950C22×Q8—434no—
951C22×Q8C22×D4311yescharacteristic
952C22×D4—434no—
953C22×D4—438no—
954C22×D4—434no—
955C22×D4—434no—
956C22×D4—434no—
957C22×D4—432no—
958C22×D4C22×D4311yescharacteristic
959C22×D4C22×D4312yes—
960C22×D4C22×D4314yes—
961C22×D4C22×D4314yescomplemented
962C23×C4—431no—
963C23×C4—432no—
964C23×C4—432no—
965C23×C4—434no—
966C23×C4—432no—
967C23×C4—432no—
968C23×C4—432no—
969C23×C4—432no—
970C23×C4—1724no—
971C23×C4C22×D4311yescharacteristic
972C23×C4C22×D4312yes—
973C4⋊Q8—434no—
974C4⋊Q8—438no—
975C4⋊Q8—434no—
976C4⋊Q8C22×D4314yescomplemented
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—438no—
992#125—434no—
993#125—438no—
994#125—438no—
995#125—438no—
996#125—434no—
997#124—434no—
998#124—434no—
999#124—438no—
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#124C22×D4314yescomplemented
1009#123—438no—
1010#123—434no—
1011#123—434no—
1012#123—434no—
1013#123—438no—
1014#123—438no—
1015#123—434no—
1016#123—438no—
1017#123—438no—
1018#123—434no—
1019#123—434no—
1020#123—438no—
1021#123—438no—
1022#123—434no—
1023#123—434no—
1024#123—434no—
1025#123—438no—
1026#123—438no—
1027#123—438no—
1028#123—438no—
1029#123—438no—
1030#123—438no—
1031#123C22×D4314yes—
1032#123C22×D4318yes—
1033#123C22×D4314yes—
1034#123C22×D4314yes—
1035#123C22×D4318yescomplemented
1036#123C22×D4318yescomplemented
1037C22⋊Q8—434no—
1038C22⋊Q8—432no—
1039C22⋊Q8—434no—
1040C22⋊Q8—432no—
1041C22⋊Q8—434no—
1042C22⋊Q8—434no—
1043C22⋊Q8—434no—
1044C22⋊Q8—432no—
1045C22⋊Q8—432no—
1046C22⋊Q8—434no—
1047C22⋊Q8—438no—
1048C22⋊Q8—438no—
1049C22⋊Q8—438no—
1050C22⋊Q8—432no—
1051C22⋊Q8—432no—
1052C22⋊Q8—434no—
1053C22⋊Q8—434no—
1054C22⋊Q8—438no—
1055C22⋊Q8—438no—
1056C22⋊Q8—438no—
1057C22⋊Q8—434no—
1058C22⋊Q8—434no—
1059C22⋊Q8—438no—
1060C22⋊Q8—438no—
1061C22⋊Q8—438no—
1062C22⋊Q8C22×D4312yes—
1063C22⋊Q8C22×D4312yes—
1064C22⋊Q8C22×D4314yescomplemented
1065C22⋊Q8C22×D4314yescomplemented
1066#121—432no—
1067#121—434no—
1068#121—432no—
1069#121—434no—
1070#121—434no—
1071#121—434no—
1072#121—434no—
1073#121—434no—
1074#121—434no—
1075#121—434no—
1076#121—438no—
1077#121—438no—
1078#121—434no—
1079#121—438no—
1080#121—438no—
1081#121—438no—
1082#121—438no—
1083#121—438no—
1084#121—438no—
1085#121—438no—
1086#121—432no—
1087#121—432no—
1088#121—434no—
1089#121—438no—
1090#121—438no—
1091#121—438no—
1092#121—432no—
1093#121—432no—
1094#121—438no—
1095#121—434no—
1096#121—434no—
1097#121—438no—
1098#121—438no—
1099#121—438no—
1100#121—438no—
1101#121C22×D4312yes—
1102#121C22×D4312yes—
1103#121C22×D4318yes—
1104#121C22×D4318yes—
1105#120—434no—
1106#120—438no—
1107#120—438no—
1108#120—438no—
1109#120—434no—
1110#120—438no—
1111#120—434no—
1112#120—434no—
1113#120—434no—
1114#120—434no—
1115#120—438no—
1116#120—434no—
1117#120—434no—
1118#120—434no—
1119#120—438no—
1120#120C22×D4314yes—
1121#120C22×D4314yes—
1122#120C22×D4314yes—
1123C4×Q8—434no—
1124C4×Q8—434no—
1125C4×Q8—434no—
1126C4×Q8—438no—
1127C4×Q8—438no—
1128C4×Q8—434no—
1129C4×D4—434no—
1130C4×D4—434no—
1131C4×D4—438no—
1132C4×D4—434no—
1133C4×D4—438no—
1134C4×D4—438no—
1135C4×D4—434no—
1136C4×D4—434no—
1137C4×D4—438no—
1138C4×D4—434no—
1139C4×D4—434no—
1140C4×D4—438no—
1141C4×D4—438no—
1142C4×D4—438no—
1143C4×D4—438no—
1144C4×D4—438no—
1145C4×D4—438no—
1146C4×D4—438no—
1147C4×D4—434no—
1148C4×D4—434no—
1149C4×D4—438no—
1150C4×D4—434no—
1151C4×D4—434no—
1152C4×D4—434no—
1153C4×D4—434no—
1154C4×D4—438no—
1155C4×D4—438no—
1156C4×D4—438no—
1157C4×D4—438no—
1158C4×D4—434no—
1159C4×D4—434no—
1160C4×D4—434no—
1161C4×D4C22×D4314yes—
1162C4×D4C22×D4314yes—
1163C4×D4C22×D4314yescomplemented
1164C4×D4C22×D4314yescomplemented
1165#117—432no—
1166#117—434no—
1167#117—434no—
1168#117—434no—
1169#117—434no—
1170#117—438no—
1171#117—432no—
1172#117—432no—
1173#117—434no—
1174#117—438no—
1175#117—438no—
1176#117—434no—
1177#117—438no—
1178#117—438no—
1179#117—434no—
1180#117C22×D4312yes—
1181C2×C4⋊C4—432no—
1182C2×C4⋊C4—434no—
1183C2×C4⋊C4—434no—
1184C2×C4⋊C4—432no—
1185C2×C4⋊C4—432no—
1186C2×C4⋊C4—434no—
1187C2×C4⋊C4—434no—
1188C2×C4⋊C4—434no—
1189C2×C4⋊C4—438no—
1190C2×C4⋊C4C22×D4318yescomplemented
1191C2×C22⋊C4—432no—
1192C2×C22⋊C4—434no—
1193C2×C22⋊C4—438no—
1194C2×C22⋊C4—434no—
1195C2×C22⋊C4—434no—
1196C2×C22⋊C4—434no—
1197C2×C22⋊C4—434no—
1198C2×C22⋊C4—434no—
1199C2×C22⋊C4—434no—
1200C2×C22⋊C4—438no—
1201C2×C22⋊C4C22×D4314yes—
1202C2×C22⋊C4C22×D4318yescomplemented
1203C2×C42—432no—
1204C2×C42—434no—
1205C24—431no—
1206C24—432no—
1207C24—434no—
1208C24—432no—
1209C24—431no—
1210C24—1722no—
1211C24—1724no—
1212C24C23×D4312yes—
1213C24C23×D4311yescharacteristic
1214C24C23×D4314yes—
1215#41—28no—
1216#41—48no—
1217#41—48no—
1218#41—48no—
1219#41—868no—
1220#41—1728no—
1221#41—1728no—
1222#41—17216no—
1223#41—1728no—
1224#41—1724no—
1225#41—1724no—
1226#41—1728no—
1227C2×Q8—24no—
1228C2×Q8—432no—
1229C2×Q8—438no—
1230C2×Q8—434no—
1231C2×Q8—434no—
1232C2×Q8—1724no—
1233C2×Q8—1728no—
1234C2×Q8C23×D4312yes—
1235C2×Q8C23×D4314yes—
1236C2×D4—24no—
1237C2×D4—48no—
1238C2×D4—44no—
1239C2×D4—48no—
1240C2×D4—438no—
1241C2×D4—434no—
1242C2×D4—434no—
1243C2×D4—434no—
1244C2×D4—438no—
1245C2×D4—438no—
1246C2×D4—438no—
1247C2×D4—434no—
1248C2×D4—434no—
1249C2×D4—438no—
1250C2×D4—434no—
1251C2×D4—434no—
1252C2×D4—434no—
1253C2×D4—432no—
1254C2×D4—434no—
1255C2×D4—434no—
1256C2×D4—434no—
1257C2×D4—1724no—
1258C2×D4—1728no—
1259C2×D4—1728no—
1260C2×D4—1728no—
1261C2×D4—17216no—
1262C2×D4—1728no—
1263C2×D4C23×D4314yes—
1264C2×D4C23×D4312yes—
1265C2×D4C23×D4314yes—
1266C2×D4C23×D4314yes—
1267C2×D4C23×D4314yes—
1268C2×D4C23×D4314yes—
1269C2×D4C23×D4314yes—
1270C2×D4C23×D4318yes—
1271C22×C4—24no—
1272C22×C4—44no—
1273C22×C4—432no—
1274C22×C4—434no—
1275C22×C4—434no—
1276C22×C4—438no—
1277C22×C4—431no—
1278C22×C4—432no—
1279C22×C4—431no—
1280C22×C4—432no—
1281C22×C4—434no—
1282C22×C4—432no—
1283C22×C4—434no—
1284C22×C4—432no—
1285C22×C4—432no—
1286C22×C4—434no—
1287C22×C4—432no—
1288C22×C4—432no—
1289C22×C4—434no—
1290C22×C4—438no—
1291C22×C4—438no—
1292C22×C4—434no—
1293C22×C4—432no—
1294C22×C4—432no—
1295C22×C4—868no—
1296C22×C4—1724no—
1297C22×C4—1724no—
1298C22×C4—1724no—
1299C22×C4—1724no—
1300C22×C4—1728no—
1301C22×C4—1724no—
1302C22×C4—1722no—
1303C22×C4C23×D4311yescharacteristic
1304C22×C4C23×D4312yes—
1305C22×C4C23×D4314yes—
1306C22×C4C23×D4312yes—
1307C22×C4C23×D4312yes—
1308C22×C4C23×D4318yes—
1309C22×C4C23×D4318yes—
1310C22×C4C23×D4314yes—
1311C22×C4C23×D4311yescharacteristic
1312C4⋊C4—434no—
1313C4⋊C4—432no—
1314C4⋊C4—434no—
1315C4⋊C4—434no—
1316C4⋊C4—438no—
1317C4⋊C4—432no—
1318C4⋊C4—434no—
1319C4⋊C4—434no—
1320C4⋊C4—434no—
1321C4⋊C4—434no—
1322C4⋊C4—434no—
1323C4⋊C4—434no—
1324C4⋊C4—438no—
1325C4⋊C4—434no—
1326C4⋊C4—438no—
1327C4⋊C4—438no—
1328C4⋊C4—438no—
1329C4⋊C4—438no—
1330C4⋊C4—438no—
1331C4⋊C4—438no—
1332C4⋊C4—438no—
1333C4⋊C4C23×D4312yes—
1334C4⋊C4C23×D4314yes—
1335C4⋊C4C23×D4314yes—
1336C4⋊C4C23×D4318yes—
1337C4⋊C4C23×D4312yes—
1338C4⋊C4C23×D4318yes—
1339C22⋊C4—434no—
1340C22⋊C4—438no—
1341C22⋊C4—438no—
1342C22⋊C4—434no—
1343C22⋊C4—434no—
1344C22⋊C4—434no—
1345C22⋊C4—434no—
1346C22⋊C4—434no—
1347C22⋊C4—434no—
1348C22⋊C4—438no—
1349C22⋊C4—438no—
1350C22⋊C4—438no—
1351C22⋊C4—438no—
1352C22⋊C4—434no—
1353C22⋊C4—438no—
1354C22⋊C4—434no—
1355C22⋊C4—434no—
1356C22⋊C4—434no—
1357C22⋊C4—434no—
1358C22⋊C4—434no—
1359C22⋊C4—434no—
1360C22⋊C4—434no—
1361C22⋊C4—438no—
1362C22⋊C4—434no—
1363C22⋊C4—434no—
1364C22⋊C4—438no—
1365C22⋊C4—438no—
1366C22⋊C4C23×D4314yes—
1367C22⋊C4C23×D4314yes—
1368C22⋊C4C23×D4314yes—
1369C22⋊C4C23×D4318yes—
1370C22⋊C4C23×D4314yes—
1371C22⋊C4C23×D4314yes—
1372C22⋊C4C23×D4314yes—
1373C22⋊C4C23×D4314yes—
1374C22⋊C4C23×D4318yes—
1375C42—434no—
1376C42—438no—
1377C42—434no—
1378C42—434no—
1379C42—438no—
1380C42—434no—
1381C42—438no—
1382C42—434no—
1383C42C23×D4314yes—
1384C23—22no—
1385C23—24no—
1386C23—42no—
1387C23—44no—
1388C23—44no—
1389C23—48no—
1390C23—432no—
1391C23—432no—
1392C23—434no—
1393C23—868no—
1394C23—864no—
1395C23—864no—
1396C23—864no—
1397C23—864no—
1398C23—1724no—
1399C23—1724no—
1400C23—1721no—
1401C23—1722no—
1402C23—1721no—
1403C23—1722no—
1404C23—1722no—
1405C23—1722no—
1406C23—17216no—
1407C23C24×D4311yescharacteristic
1408C23C24×D4311yescharacteristic
1409C23C24×D4314yes—
1410C23C24×D4314yes—
1411C23C24×D4311yescharacteristic
1412Q8—28no—
1413Q8—24no—
1414Q8—864no—
1415Q8—1724no—
1416Q8—1724no—
1417Q8—1728no—
1418D4—28no—
1419D4—28no—
1420D4—24no—
1421D4—48no—
1422D4—44no—
1423D4—44no—
1424D4—44no—
1425D4—44no—
1426D4—868no—
1427D4—868no—
1428D4—8616no—
1429D4—868no—
1430D4—864no—
1431D4—1724no—
1432D4—1724no—
1433D4—1724no—
1434D4—1724no—
1435D4—1724no—
1436D4—1724no—
1437D4—1724no—
1438D4—1728no—
1439D4—1724no—
1440D4—1728no—
1441D4—1728no—
1442D4—1728no—
1443C2×C4—22no—
1444C2×C4—24no—
1445C2×C4—24no—
1446C2×C4—24no—
1447C2×C4—28no—
1448C2×C4—48no—
1449C2×C4—44no—
1450C2×C4—48no—
1451C2×C4—434no—
1452C2×C4—438no—
1453C2×C4—434no—
1454C2×C4—432no—
1455C2×C4—434no—
1456C2×C4—432no—
1457C2×C4—868no—
1458C2×C4—864no—
1459C2×C4—864no—
1460C2×C4—864no—
1461C2×C4—864no—
1462C2×C4—864no—
1463C2×C4—868no—
1464C2×C4—1722no—
1465C2×C4—1722no—
1466C2×C4—1722no—
1467C2×C4—1722no—
1468C2×C4—1724no—
1469C2×C4—1724no—
1470C2×C4—1724no—
1471C2×C4—1728no—
1472C2×C4—1728no—
1473C2×C4—1721no—
1474C2×C4—1722no—
1475C2×C4—1721no—
1476C2×C4—1724no—
1477C2×C4—1728no—
1478C2×C4—1724no—
1479C2×C4#1306337014yes—
1480C2×C4C24×D4312yes—
1481C2×C4C24×D4314yes—
1482C2×C4C24×D4314yes—
1483C2×C4C24×D4314yes—
1484C2×C4C24×D4314yes—
1485C2×C4C24×D4312yes—
1486C22—22no—
1487C22—21no—
1488C22—21no—
1489C22—24no—
1490C22—24no—
1491C22—28no—
1492C22—24no—
1493C22—22no—
1494C22—22no—
1495C22—24no—
1496C22—44no—
1497C22—84no—
1498C22—164no—
1499C22—434no—
1500C22—862no—
1501C22—862no—
1502C22—862no—
1503C22—864no—
1504C22—864no—
1505C22—864no—
1506C22—862no—
1507C22—862no—
1508C22—3448no—
1509C22—1728no—
1510C22—1724no—
1511C22—1728no—
1512C22—1724no—
1513C22C2×#1306337012yes—
1514C22C25×D4311yescharacteristic
1515C4—22no—
1516C4—24no—
1517C4—24no—
1518C4—24no—
1519C4—24no—
1520C4—862no—
1521C4—862no—
1522C4—864no—
1523C4—864no—
1524C4—864no—
1525C4—868no—
1526C4C2×#1306337014yes—
1527C2—22no—
1528C2—41no—
1529C2—41no—
1530C2—44no—
1531C2—44no—
1532C2—864no—
1533C2—1724no—
1534C2—1722no—
1535C2C22×#1306337011yescharacteristic
1536C2#585×D4312yes—
subgroupG/H
center, FrattiniC22C25×D43
commutator, socle, cosocleC22×C43C26
FittingC43×#3485C2
hypercenter#3485D43
hypocenterC43#62821
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C22 ◁ #3485

Complements

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

NH ≅ G/Ntype
1. #19148909C2semidirect
2. #19148878C2semidirect
3. #19148859C2semidirect
4. #19148850C2semidirect
5. #19148756C2semidirect
6. #19148747C2semidirect
7. #19148647C2semidirect
8. #19148624C2semidirect
9. #19148527C2semidirect
10. #19148445C2semidirect
11. #19148422C2semidirect
12. #19148344C2semidirect
13. #19148320C2semidirect
14. #19148312C2semidirect
15. #19148273C2semidirect
16. #19148257C2semidirect
17. #19148253C2semidirect
18. C2×#14583406C2semidirect
19. #525×D43C2semidirect
20. C43×#3485C2semidirect
21. C2×#13063373C22semidirect
22. C2×#41×D43C22semidirect
23. C23×C4×D43C22semidirect
24. #14583652C22semidirect
25. #14583644C22semidirect
26. #14583642C22semidirect
27. #14583639C22semidirect
28. #14583638C22semidirect
29. #14583637C22semidirect
30. #14583633C22semidirect
31. #14583633C22semidirect
32. #14583620C22semidirect
33. #14583620C22semidirect
34. #14583619C22semidirect
35. #14583614C22semidirect
36. #14583614C22semidirect
37. #14583613C22semidirect
38. #14583607C22semidirect
39. #14583604C22semidirect
40. #14583599C22semidirect
41. #14583599C22semidirect
42. #14583597C22semidirect
43. #14583596C22semidirect
44. #14583596C22semidirect
45. #14583595C22semidirect
46. #14583594C22semidirect
47. #14583594C22semidirect
48. #14583591C22semidirect
49. #14583589C22semidirect
50. #14583586C22semidirect
51. #14583583C22semidirect
52. #14583583C22semidirect
53. #14583580C22semidirect
54. #14583577C22semidirect
55. #14583577C22semidirect
56. #14583575C22semidirect
57. #14583575C22semidirect
58. #14583572C22semidirect
59. #14583568C22semidirect
60. #14583568C22semidirect
61. #14583568C22semidirect
62. #14583564C22semidirect
63. #14583557C22semidirect
64. #14583556C22semidirect
65. #14583556C22semidirect
66. #14583556C22semidirect
67. #14583554C22semidirect
68. #14583552C22semidirect
69. #14583547C22semidirect
70. #14583546C22semidirect
71. #14583543C22semidirect
72. #14583543C22semidirect
73. #14583542C22semidirect
74. #14583541C22semidirect
75. #14583539C22semidirect
76. #14583539C22semidirect
77. D4×C22⋊D43C22semidirect
78. D4×C22⋊D43C22semidirect
79. #14583531C22semidirect
80. #14583527C22semidirect
81. #14583518C22semidirect
82. #14583517C22semidirect
83. #14583516C22semidirect
84. #14583514C22semidirect
85. #14583510C22semidirect
86. #14583501C22semidirect
87. #14583500C22semidirect
88. #14583499C22semidirect
89. #14583496C22semidirect
90. #14583492C22semidirect
91. #14583492C22semidirect
92. #14583487C22semidirect
93. #14583485C22semidirect
94. #14583485C22semidirect
95. #14583484C22semidirect
96. #14583484C22semidirect
97. #14583481C22semidirect
98. #14583479C22semidirect
99. #14583477C22semidirect
100. #14583477C22semidirect
101. #14583472C22semidirect
102. #14583466C22semidirect
103. #14583466C22semidirect
104. #14583466C22semidirect
105. #14583465C22semidirect
106. #14583459C22semidirect
107. #14583454C22semidirect
108. #14583446C22semidirect
109. #14583431C22semidirect
110. #14583428C22semidirect
111. #14583426C22semidirect
112. #14583412C22semidirect
113. #14583412C22semidirect
114. #14583412C22semidirect
115. #14583411C22semidirect
116. #14583410C22semidirect
117. #14583410C22semidirect
118. #14583409C22semidirect
119. #14583409C22semidirect
120. #14583408C22semidirect
121. #14583408C22semidirect
122. #14583407C22semidirect
124. #14583406C22semidirect
125. #14583406C22semidirect
126. #14583406C22semidirect
127. #14583406C22semidirect
128. #14583406C22semidirect
129. #14583405C22semidirect
130. C2×#13063306C22semidirect
131. #123×D43C22semidirect
132. C2×#13063301C22semidirect
133. C22⋊Q8×D43C22semidirect
134. C22⋊Q8×D43C22semidirect
135. C22⋊Q8×D43C22semidirect
136. C2×#13063296C22semidirect
137. C2×#13063296C22semidirect
138. #121×D43C22semidirect
139. #121×D43C22semidirect
140. C2×#13063293C22semidirect
141. #120×D43C22semidirect
142. #14583382C22semidirect
143. #14583380C22semidirect
144. #14583379C22semidirect
145. #14583377C22semidirect
146. #14583372C22semidirect
147. C2×C4×C22⋊D43C22semidirect
148. C4×D4×D43C22semidirect
149. C4×D4×D43C22semidirect
150. C2×#13063284C22semidirect
151. #117×D43C22semidirect
152. C2×H(5,𝔽2)×C43C22semidirect
153. C22×#41×C43C22semidirect
154. C43×#547C22semidirect
155. C43×#547C22semidirect
156. C43×#546C22semidirect
157. C43×#546C22semidirect
158. C43×#536C22semidirect
159. C43×#534C22semidirect
160. C43×#525C22semidirect
161. C2×#123×C43C22semidirect
162. C43×#518C22semidirect
166. C2×#10621902C23semidirect
175. C2×Q8×D43C23semidirect
191. #13063325C23semidirect
192. #13063324C23semidirect
193. #13063324C23semidirect
197. #13063321C23semidirect
200. #13063320C23semidirect
203. #13063318C23semidirect
204. #13063318C23semidirect
205. #13063318C23semidirect
206. #13063318C23semidirect
207. #13063318C23semidirect
208. #13063317C23semidirect
209. #13063316C23semidirect
210. #13063316C23semidirect
211. #13063315C23semidirect
212. #13063315C23semidirect
213. #13063315C23semidirect
217. #13063312C23semidirect
218. #13063312C23semidirect
223. #13063311C23semidirect
224. #13063311C23semidirect
228. #13063310C23semidirect
233. #13063308C23semidirect
239. #13063307C23semidirect
240. #13063307C23semidirect
246. #13063306C23semidirect
252. #13063304C23semidirect
253. #13063304C23semidirect
254. #13063304C23semidirect
255. #13063304C23semidirect
259. #13063303C23semidirect
263. #13063302C23semidirect
264. #13063302C23semidirect
271. #13063301C23semidirect
279. #13063299C23semidirect
280. #13063299C23semidirect
286. #13063298C23semidirect
292. #13063297C23semidirect
303. #13063296C23semidirect
304. #13063296C23semidirect
305. #13063296C23semidirect
306. #13063296C23semidirect
314. #13063294C23semidirect
322. Q8×Dic43C23semidirect
323. Q8×Dic43C23semidirect
324. Q8×Dic43C23semidirect
325. C4×Dic86C23semidirect
326. #13063290C23semidirect
327. #13063290C23semidirect
330. C4×D172C23semidirect
334. D4×Dic43C23semidirect
348. C4×C22⋊D43C23semidirect
349. C4×C22⋊D43C23semidirect
350. C4×C22⋊D43C23semidirect
351. C4×C22⋊D43C23semidirect
358. (C22⋊D43)⋊C4C23semidirect
359. (C22⋊D43)⋊C4C23semidirect
364. #13063284C23semidirect
365. #13063284C23semidirect
369. #13063283C23semidirect
370. #13063283C23semidirect
373. #13063281C23semidirect
374. #13063281C23semidirect
376. C2×C4⋊Dic43C23semidirect
382. C4⋊C4×D43C23semidirect
383. C4⋊C4×D43C23semidirect
386. C2×C22⋊Dic43C23semidirect
401. C2×#41×C43C23semidirect
406. C22×D4×C43C23semidirect
409. C4⋊Q8×C43C23semidirect
410. #124×C43C23semidirect
415. #123×C43C23semidirect
416. #123×C43C23semidirect
419. C22⋊Q8×C43C23semidirect
420. C22⋊Q8×C43C23semidirect
430. C4×D4×C43C23semidirect
431. C4×D4×C43C23semidirect
433. C2×C4⋊C4×C43C23semidirect
435. C2×C22⋊C4×C43C23semidirect
776. #3485D43semidirect
790. C2×H(5,𝔽2)C2×D43semidirect
792. C22×#41C2×D43semidirect
840. #547C2×D43semidirect
841. #547C2×D43semidirect
849. #546C2×D43semidirect
850. #546C2×D43semidirect
876. #536C2×D43semidirect
882. #534C2×D43semidirect
906. #525C2×D43semidirect
909. C2×#123C2×D43semidirect
925. #518C2×D43semidirect
931. C43#62821semidirect
948. C2×#41C22×D43semidirect
961. C22×D4C22×D43semidirect
976. C4⋊Q8C22×D43semidirect
1008. #124C22×D43semidirect
1035. #123C22×D43semidirect
1036. #123C22×D43semidirect
1064. C22⋊Q8C22×D43semidirect
1065. C22⋊Q8C22×D43semidirect
1163. C4×D4C22×D43semidirect
1164. C4×D4C22×D43semidirect
1190. C2×C4⋊C4C22×D43semidirect
1202. C2×C22⋊C4C22×D43semidirect

Maximal subgroups

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

subgroupindex
#191489092
#191488782
#191488592
#191488502
#191487562
#191487472
#191486472
#191486242
#191485272
#191484452
#191484222
#191483442
#191483202
#191483122
#191482732
#191482572
#191482532
C2×#145834062
#525×D432
C43×#34852
#6282143