Finite Group Databasebeta

← #26005232

Subgroups — #26005232

Order 11008.

7242 conjugacy classes of subgroups.

The subgroup lattice has 1534 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148893C214yesmaximal, complemented
2#19148874C214yesmaximal, complemented
3#19148836C214yesmaximal, complemented
4#19148811C214yesmaximal, complemented
5#19148794C218yesmaximal, complemented
6#19148645C214yesmaximal, complemented
7#19148637C214yesmaximal, complemented
8#19148431C214yesmaximal, complemented
9#19148390C214yesmaximal, complemented
10#19148344C212yesmaximal, complemented
11#19148337C212yesmaximal, complemented
12#19148301C212yesmaximal, complemented
13#19148296C214yesmaximal, complemented
14#19148278C214yesmaximal, complemented
15#19148273C212yesmaximal, complemented
16#19148268C212yesmaximal, complemented
17#19148246C211yesmaximal, characteristic, complemented
18#525×D43C212yesmaximal, complemented
19C22×#13063301C211yesmaximal, characteristic, complemented
20C43×#3486C211yesmaximal, characteristic, complemented
21C2×#13063373C2211yescharacteristic, complemented
22C2×#41×D43C2212yescomplemented
23C23×C4×D43C2211yescharacteristic
24#14583650C2218yescomplemented
25#14583648C2218yescomplemented
26#14583645C2218yescomplemented
27#14583643C2218yescomplemented
28#14583622C2214yescomplemented
29#14583620C2214yescomplemented
30#14583610C2218yescomplemented
31#14583609C2214yescomplemented
32#14583608C2218yescomplemented
33#14583607C2214yescomplemented
34#14583607C2214yescomplemented
35#14583606C2214yescomplemented
36#14583603C2218yescomplemented
37#14583603C2218yescomplemented
38#14583601C2214yescomplemented
39#14583598C2218yescomplemented
40#14583595C2214yescomplemented
41#14583592C2218yescomplemented
42#14583591C2214yescomplemented
43#14583591C2214yescomplemented
44#14583590C2214yescomplemented
45#14583590C2214yescomplemented
46#14583589C2214yescomplemented
47#14583586C2218yescomplemented
48#14583583C2214yescomplemented
49#14583582C2218yescomplemented
50#14583579C2218yescomplemented
51#14583578C2218yescomplemented
52#14583576C2218yescomplemented
53#14583576C2218yescomplemented
54#14583573C2218yescomplemented
55#14583572C2218yescomplemented
56#14583564C2214yescomplemented
57Q8×C22⋊D43C2214yescomplemented
58Q8×C22⋊D43C2214yescomplemented
59Q8×C22⋊D43C2214yescomplemented
60#14583560C2214yescomplemented
61#14583560C2214yescomplemented
62#14583560C2214yescomplemented
63#14583557C2214yescomplemented
64#14583553C2214yescomplemented
65#14583552C2214yescomplemented
66#14583549C2214yescomplemented
67#14583548C2218yescomplemented
68#14583548C2214yescomplemented
69#14583547C2218yescomplemented
70#14583544C2218yescomplemented
71#14583542C2214yescomplemented
72#14583541C2218yescomplemented
73#14583538C2218yescomplemented
74#14583537C2218yescomplemented
75#14583537C2214yescomplemented
76#14583528C2214yescomplemented
77#14583527C2212yescomplemented
78#14583526C2218yescomplemented
79#14583524C2214yes—
80#14583524C2218yescomplemented
81#14583523C2218yescomplemented
82#14583521C2214yescomplemented
83#14583518C2214yescomplemented
84#14583513C2218yescomplemented
85#14583510C2214yescomplemented
86#14583507C2214yescomplemented
87#14583498C2214yescomplemented
88#14583498C2218yescomplemented
89#14583495C2218yescomplemented
90#14583495C2218yescomplemented
91#14583494C2214yescomplemented
92#14583493C2218yescomplemented
93#14583491C2218yescomplemented
94#14583489C2214yescomplemented
95#14583486C2214yescomplemented
96#14583483C2218yescomplemented
97#14583482C2218yescomplemented
98#14583479C2214yescomplemented
99#14583477C2212yescomplemented
100#14583477C2214yescomplemented
101#14583476C2214yescomplemented
102#14583473C2212yescomplemented
103#14583473C2214yescomplemented
104#14583473C2214yescomplemented
105#14583472C2214yescomplemented
106#14583457C2214yes—
107#14583454C2214yescomplemented
108#14583453C2214yescomplemented
109#14583436C2214yescomplemented
110#14583428C2214yescomplemented
111#14583412C2212yes—
112#14583412C2212yescomplemented
113#14583412C2214yescomplemented
114#14583411C2212yes—
115#14583410C2214yescomplemented
116#14583410C2212yescomplemented
117#14583409C2212yes—
118#14583409C2212yescomplemented
119#14583408C2214yes—
120#14583408C2214yescomplemented
121#14583407C2214yes—
122#14583406C2212yes—
123#14583406C2214yescomplemented
124#14583405C2214yescomplemented
125#14583405C2218yescomplemented
126#123×D43C2214yescomplemented
127C2×#13063301C2214yes—
128C2×#13063301C2214yescomplemented
129C2×#13063301C2212yescomplemented
130C2×#13063301C2212yescomplemented
131C2×#13063301C2214yescomplemented
132C2×#13063301C2214yescomplemented
133C2×#13063301C2214yescomplemented
134C2×#13063301C2214yescomplemented
135C22⋊Q8×D43C2212yes—
136C22⋊Q8×D43C2212yescomplemented
137C22⋊Q8×D43C2214yescomplemented
138#121×D43C2212yes—
139#121×D43C2212yescomplemented
140#120×D43C2214yes—
141#14583382C2212yescomplemented
142#14583379C2212yescomplemented
143#14583378C2218yescomplemented
144#14583377C2211yescharacteristic, complemented
145#14583371C2218yes—
146C4×D4×D43C2214yes—
147C4×D4×D43C2214yescomplemented
148#117×D43C2212yescomplemented
149C22×C4⋊Dic43C2211yescharacteristic, complemented
150C22×Dic43⋊C4C2212yescomplemented
151C22×(C2×D43)⋊C4C2212yes—
152C2×2−1+4×C43C2211yescharacteristic, complemented
153C23×Q8×C43C2211yescharacteristic, complemented
154D4×Q8×C43C2214yescomplemented
155D4×Q8×C43C2214yescomplemented
156C43×#548C2214yescomplemented
157C43×#548C2214yescomplemented
158C43×#536C2212yescomplemented
159C43×#536C2214yescomplemented
160C43×#525C2214yescomplemented
161C43×#525C2212yescomplemented
162C43×#519C2211yescharacteristic, complemented
163C24×D43C2311yescharacteristic
164#13063373—44no—
165C2×#10621902C2312yes—
166C2×#10621902C2314yescomplemented
167C2×#10621898C2312yes—
168C2×#10621898C2314yes—
169C2×#10621898C2314yes—
170C2×#10621900C2318yes—
171C2×#10621900C2312yes—
172C2×#10621900C2314yes—
173#41×D43—48no—
174C2×Q8×D43C2312yes—
175C2×Q8×D43C2314yescomplemented
176C2×D4×D43C2314yes—
177C2×D4×D43C2314yes—
178C2×D4×D43C2314yes—
179C2×D4×D43C2312yes—
180C23×Dic43C2312yes—
181C23×Dic43C2311yescharacteristic
182C22×C4×D43—44no—
183C22×C4×D43C2312yes—
184C22×C4×D43C2312yes—
185C22×C4×D43C2314yes—
186C22×C4×D43C2312yes—
187C22×C4×D43C2312yes—
188C22×C4×D43C2312yes—
189C22×C4×D43C2312yes—
190#13063325C2314yescomplemented
191#13063324C2318yescomplemented
192#13063324C2314yescomplemented
193#13063323C2314yescomplemented
194#13063323C2318yescomplemented
195#13063323C2318yescomplemented
196#13063320C2318yes—
197#13063320C2318yes—
198#13063320C2318yes—
199#13063320C2318yescomplemented
200#13063320C2318yescomplemented
201#13063319C2318yes—
202#13063319C2318yescomplemented
203#13063318C2318yescomplemented
204#13063318C2318yescomplemented
205#13063318C2318yescomplemented
206#13063317C2318yescomplemented
207#13063317C2314yescomplemented
208#13063316C2314yescomplemented
209#13063316C2318yescomplemented
210#13063316C2318yescomplemented
211#13063315C2318yescomplemented
212#13063315C2318yescomplemented
213#13063315C2318yescomplemented
214#13063315C2318yescomplemented
215#13063315C2318yescomplemented
216#13063314C2318yes—
217#13063314C2314yescomplemented
218#13063314C2318yescomplemented
219#13063313C2318yes—
220#13063311C2318yes—
221#13063311C2318yes—
222#13063310C2318yes—
223#13063310C2318yes—
224#13063310C2318yes—
225#13063310C2314yes—
226#13063310C2314yes—
227#13063310C2318yescomplemented
228#13063309C2318yes—
229#13063309C2318yes—
230#13063309C2314yes—
231#13063309C2318yescomplemented
232#13063308C2318yes—
233#13063308C2318yes—
234#13063308C2314yes—
235#13063308C2318yescomplemented
236#13063307C2318yes—
237#13063307C2314yes—
238#13063307C2314yes—
239#13063307C2318yescomplemented
240#13063307C2318yescomplemented
241#13063306C2318yes—
242#13063306C2314yes—
243#13063306C2318yescomplemented
244#13063305C2318yes—
245#13063305C2312yes—
246#13063305C2312yes—
247#13063305C2318yescomplemented
248#13063304C2314yes—
249#13063304C2312yes—
250#13063304C2312yes—
251#13063304C2314yes—
252#13063304C2314yescomplemented
253#13063304C2318yescomplemented
254#13063303C2318yes—
255#13063303C2318yes—
256#13063303C2314yes—
257#13063303C2314yes—
258#13063303C2318yescomplemented
259#13063303C2318yescomplemented
260#13063302C2318yes—
261#13063302C2314yes—
262#13063302C2318yes—
263#13063302C2314yes—
264#13063302C2318yescomplemented
265#13063302C2318yescomplemented
266#13063302C2318yescomplemented
267#13063301C2314yes—
268#13063301C2314yes—
269#13063301C2318yes—
270#13063301C2314yes—
271#13063301C2314yes—
272#13063301C2318yes—
273#13063301C2318yes—
274#13063301C2312yes—
275#13063301C2314yes—
276#13063301C2312yes—
277#13063301C2314yes—
278#13063301C2318yes—
279#13063301C2314yes—
280#13063301C2314yes—
281#13063301C2318yes—
282#13063301C2314yescomplemented
283#13063301C2318yescomplemented
284#13063301C2314yescomplemented
285#13063301C2314yescomplemented
286#13063301C2318yescomplemented
287#13063301C2318yescomplemented
288#13063300C2318yes—
289#13063300C2312yes—
290#13063300C2312yes—
291#13063299C2312yes—
292#13063299C2312yes—
293#13063299C2314yes—
294#13063299C2314yes—
295#13063299C2318yes—
296#13063299C2314yescomplemented
297#13063298C2318yes—
298#13063298C2314yes—
299#13063298C2314yes—
300#13063298C2318yescomplemented
301#13063297C2314yes—
302#13063297C2318yes—
303#13063297C2314yes—
304#13063297C2318yes—
305#13063297C2318yes—
306#13063297C2318yescomplemented
307#13063296C2312yes—
308#13063296C2312yes—
309#13063296C2314yescomplemented
310#13063295C2314yes—
311#13063295C2314yes—
312#13063295C2318yes—
313#13063295C2314yes—
314#13063294C2314yes—
315#13063293C2314yes—
316#13063293C2314yes—
317#13063293C2318yes—
318#13063293C2314yes—
319Q8×Dic43C2314yescomplemented
320Q8×Dic43C2314yescomplemented
321Q8×Dic43C2314yescomplemented
322C4×Dic86C2314yescomplemented
323C4×Dic86C2318yescomplemented
324#13063290C2318yescomplemented
325C4×D172C2314yes—
326C4×D172C2314yes—
327C4×D172C2318yes—
328C4×D172C2314yescomplemented
329D4×Dic43C2318yes—
330D4×Dic43C2314yes—
331D4×Dic43C2318yes—
332D4×Dic43C2314yes—
333D4×Dic43C2314yescomplemented
334#13063287C2318yes—
335#13063287C2314yes—
336#13063287C2314yes—
337C4×C22⋊D43C2318yes—
338C4×C22⋊D43C2314yes—
339C4×C22⋊D43C2318yes—
340C4×C22⋊D43C2314yes—
341C4×C22⋊D43C2314yes—
342C4×C22⋊D43C2318yes—
343C4×C22⋊D43C2314yes—
344C4×C22⋊D43C2318yescomplemented
345(C22⋊D43)⋊C4C2318yes—
346(C22⋊D43)⋊C4C2318yes—
347(C22⋊D43)⋊C4C2314yes—
348(C22⋊D43)⋊C4C2318yes—
349(C22⋊D43)⋊C4C2314yes—
350(C22⋊D43)⋊C4C2314yes—
351(C22⋊D43)⋊C4C2314yes—
352(C22⋊D43)⋊C4C2318yescomplemented
353#13063284C2314yes—
354#13063284C2312yes—
355#13063284C2314yescomplemented
356#13063283C2318yes—
357#13063283C2312yes—
358#13063283C2312yes—
359#13063283C2314yescomplemented
360#13063282C2318yes—
361#13063282C2314yes—
362#13063282C2318yescomplemented
363#13063281C2318yes—
364#13063281C2314yes—
365#13063281C2318yescomplemented
366C2×C4⋊Dic43C2314yes—
367C2×C4⋊Dic43C2314yes—
368C2×C4⋊Dic43C2312yes—
369C2×C4⋊Dic43C2312yes—
370C2×C4⋊Dic43C2314yescomplemented
371C2×Dic43⋊C4C2314yes—
372C2×Dic43⋊C4C2314yes—
373C2×Dic43⋊C4C2318yes—
374C2×Dic43⋊C4C2314yes—
375C2×Dic43⋊C4C2314yes—
376C2×Dic43⋊C4C2318yescomplemented
377C4⋊C4×D43C2312yes—
378C4⋊C4×D43C2314yes—
379C4⋊C4×D43C2312yes—
380C4⋊C4×D43C2314yes—
381C4⋊C4×D43C2318yescomplemented
382C4⋊C4×D43C2314yescomplemented
383C2×(C2×D43)⋊C4C2314yes—
384C2×(C2×D43)⋊C4C2314yes—
385C2×(C2×D43)⋊C4C2318yes—
386C2×(C2×D43)⋊C4C2318yes—
387C2×(C2×D43)⋊C4C2314yes—
388C2×(C2×D43)⋊C4C2314yes—
389C22⋊C4×D43C2314yes—
390C22⋊C4×D43C2314yes—
391C22⋊C4×D43C2314yes—
392C22⋊C4×D43C2318yes—
393C22⋊C4×D43C2314yes—
394C22⋊C4×D43C2314yes—
395C42×D43C2314yes—
3962−1+4×C43—44no—
397C2×#41×C43C2312yes—
398C2×#41×C43C2314yes—
399C2×#41×C43C2314yescomplemented
400C22×Q8×C43—44no—
401C22×Q8×C43C2311yescharacteristic
402C22×Q8×C43C2311yescharacteristic
403C22×Q8×C43C2314yes—
404C22×Q8×C43C2314yes—
405C22×Q8×C43C2312yes—
406C22×Q8×C43C2314yescomplemented
407C23×C4×C43C2311yescharacteristic
408C23×C4×C43C2312yes—
409C4⋊Q8×C43C2314yescomplemented
410C4⋊Q8×C43C2318yescomplemented
411#124×C43C2314yescomplemented
412#124×C43C2318yescomplemented
413#123×C43C2318yes—
414#123×C43C2314yes—
415C22⋊Q8×C43C2314yes—
416C22⋊Q8×C43C2312yes—
417C22⋊Q8×C43C2314yes—
418C22⋊Q8×C43C2312yes—
419C22⋊Q8×C43C2318yescomplemented
420C22⋊Q8×C43C2314yescomplemented
421C22⋊Q8×C43C2318yescomplemented
422C22⋊Q8×C43C2314yescomplemented
423#121×C43C2314yes—
424#121×C43C2312yes—
425#121×C43C2312yes—
426#121×C43C2314yes—
427#120×C43C2314yes—
428C4×Q8×C43C2314yescomplemented
429C4×Q8×C43C2314yescomplemented
430C4×D4×C43C2314yes—
431C4×D4×C43C2318yes—
432C4×D4×C43C2314yes—
433C4×D4×C43C2318yes—
434#117×C43C2314yes—
435#117×C43C2312yes—
436C24×C43C2411yescharacteristic
437C23×D43—24no—
438C23×D43—42no—
439C23×D43—42no—
440C23×D43C2412yes—
441C23×D43C2412yes—
442C23×D43C2414yes—
443C23×D43C2411yescharacteristic
444C23×D43C2411yescharacteristic
445#41×C43—28no—
446#41×C43—48no—
447#41×C43—48no—
448C2×Q8×C43—24no—
449C2×Q8×C43—24no—
450C2×Q8×C43—44no—
451C2×Q8×C43—48no—
452C2×Q8×C43—48no—
453C2×Q8×C43—48no—
454C2×Q8×C43C2414yes—
455C2×Q8×C43C2412yes—
456C2×Q8×C43C2414yes—
457C2×Q8×C43C2414yes—
458C2×Q8×C43C2418yes—
459C2×D4×C43C2414yes—
460C2×D4×C43C2414yes—
461C2×D4×C43C2414yes—
462C2×D4×C43C2412yes—
463C2×D4×C43C2414yes—
464C22×C4×C43—24no—
465C22×C4×C43—44no—
466C22×C4×C43C2412yes—
467C22×C4×C43C2412yes—
468C22×C4×C43C2412yes—
469C22×C4×C43C2414yes—
470C22×C4×C43C2412yes—
471C22×C4×C43C2411yescharacteristic
472C22×C4×C43C2414yes—
473C22×C4×C43C2414yes—
474C22×C4×C43C2418yes—
475C22×C4×C43C2411yescharacteristic
476C2×C22⋊D43C2414yes—
477C2×C22⋊D43C2414yes—
478C2×C22⋊D43C2414yes—
479C2×C22⋊D43C2414yes—
480C2×C22⋊D43C2414yes—
481C2×C22⋊D43C2418yes—
482C2×C22⋊D43C2414yes—
483C2×C22⋊D43C2414yes—
484C22×Dic43—42no—
485C22×Dic43—44no—
486C22×Dic43C2414yes—
487C22×Dic43C2412yes—
488C22×Dic43C2414yes—
489C22×Dic43C2414yes—
490C22×Dic43C2418yes—
491C22×Dic43C2411yescharacteristic
492C22×Dic43C2412yes—
493C22×Dic43C2411yescharacteristic
494C22×Dic43C2414yes—
495#10621902—44no—
496#10621902—48no—
497Q8×D43—44no—
498Q8×D43—48no—
499#10621900—44no—
500#10621900—48no—
501#10621900—416no—
502D4×D43—216no—
503D4×D43—48no—
504D4×D43—48no—
505D4×D43—44no—
506#10621898—28no—
507#10621898—48no—
508#10621898—48no—
509C2×D172C2414yes—
510C2×D172C2412yes—
511C2×D172C2414yes—
512C2×D172C2414yes—
513C2×D172C2414yes—
514C2×C4×D43—28no—
515C2×C4×D43—44no—
516C2×C4×D43—44no—
517C2×C4×D43—44no—
518C2×C4×D43—44no—
519C2×C4×D43—44no—
520C2×C4×D43—48no—
521C2×C4×D43C2412yes—
522C2×C4×D43C2414yes—
523C2×C4×D43C2412yes—
524C2×C4×D43C2414yes—
525C2×C4×D43C2412yes—
526C2×C4×D43C2412yes—
527C2×C4×D43C2414yes—
528C2×C4×D43C2412yes—
529C2×C4×D43C2414yes—
530C2×C4×D43C2412yes—
531C2×C4×D43C2418yes—
532C2×C4×D43C2418yes—
533C2×C4×D43C2414yes—
534C2×C4×D43C2412yes—
535C2×C4×D43C2412yes—
536C2×Dic86C2412yes—
537C2×Dic86C2418yes—
538C2×Dic86C2414yes—
539C2×Dic86C2414yes—
540C4⋊C4×C43C2412yes—
541C4⋊C4×C43C2412yes—
542C4⋊C4×C43C2414yes—
543C4⋊C4×C43C2414yes—
544C4⋊C4×C43C2414yes—
545C4⋊C4×C43C2414yes—
546C4⋊C4×C43C2418yes—
547C4⋊C4×C43C2418yes—
548C22⋊C4×C43C2414yes—
549C22⋊C4×C43C2414yes—
550C22⋊C4×C43C2414yes—
551C22⋊C4×C43C2418yes—
552C22⋊C4×C43C2414yes—
553C22⋊C4×C43C2414yes—
554C22⋊C4×C43C2418yes—
555C42×C43C2414yes—
556C42×C43C2418yes—
557C22⋊Dic43C2414yes—
558C22⋊Dic43C2414yes—
559C22⋊Dic43C2414yes—
560C22⋊Dic43C2414yes—
561C22⋊Dic43C2414yes—
562C22⋊Dic43C2418yes—
563C22⋊Dic43C2418yes—
564(C2×D43)⋊C4C2414yes—
565(C2×D43)⋊C4C2418yes—
566(C2×D43)⋊C4C2414yes—
567(C2×D43)⋊C4C2414yes—
568(C2×D43)⋊C4C2414yes—
569(C2×D43)⋊C4C2414yes—
570(C2×D43)⋊C4C2414yes—
571(C2×D43)⋊C4C2414yes—
572(C2×D43)⋊C4C2414yes—
573(C2×D43)⋊C4C2414yes—
574(C2×D43)⋊C4C2414yes—
575(C2×D43)⋊C4C2418yes—
576(C2×D43)⋊C4C2418yes—
577(C2×D43)⋊C4C2418yes—
578(C2×D43)⋊C4C2418yes—
579(C2×D43)⋊C4C2418yes—
580(C2×D43)⋊C4C2418yes—
581(C2×D43)⋊C4C2418yes—
582C4⋊Dic43C2414yes—
583C4⋊Dic43C2412yes—
584C4⋊Dic43C2412yes—
585C4⋊Dic43C2414yes—
586C4⋊Dic43C2414yes—
587C4⋊Dic43C2414yes—
588C4⋊Dic43C2418yes—
589C4⋊Dic43C2418yes—
590C4⋊Dic43C2418yes—
591C4⋊Dic43C2414yes—
592C4⋊Dic43C2414yes—
593Dic43⋊C4C2414yes—
594Dic43⋊C4C2414yes—
595Dic43⋊C4C2414yes—
596Dic43⋊C4C2414yes—
597Dic43⋊C4C2414yes—
598Dic43⋊C4C2414yes—
599Dic43⋊C4C2418yes—
600Dic43⋊C4C2418yes—
601Dic43⋊C4C2418yes—
602Dic43⋊C4C2418yes—
603Dic43⋊C4C2418yes—
604Dic43⋊C4C2418yes—
605Dic43⋊C4C2418yes—
606Dic43⋊C4C2418yes—
607Dic43⋊C4C2418yes—
608Dic43⋊C4C2418yes—
609C4×Dic43C2414yes—
610C4×Dic43C2414yes—
611C4×Dic43C2414yes—
612C4×Dic43C2418yes—
613C4×Dic43C2418yes—
614C4×Dic43C2418yes—
615C23×C43—22no—
616C23×C43—22no—
617C23×C43—22no—
618C23×C43C2514yes—
619C23×C43C2511yescharacteristic
620C23×C43C2511yescharacteristic
621C23×C43C2511yescharacteristic
622C22×D43—24no—
623C22×D43—22no—
624C22×D43—24no—
625C22×D43—24no—
626C22×D43—24no—
627C22×D43—28no—
628C22×D43—41no—
629C22×D43—42no—
630C22×D43—41no—
631C22×D43—41no—
632C22×D43—42no—
633C22×D43—41no—
634C22×D43—44no—
635C22×D43—44no—
636C22×D43—416no—
637C22×D432−1+414yescomplemented
638C22×D43C2512yes—
639C22×D43C2514yes—
640C22×D43C2512yes—
641Q8×C43—28no—
642Q8×C43—24no—
643Q8×C43—28no—
644Q8×C43—48no—
645Q8×C43—44no—
646D4×C43—28no—
647D4×C43—28no—
648D4×C43—28no—
649D4×C43—24no—
650D4×C43—44no—
651C2×C4×C43—22no—
652C2×C4×C43—24no—
653C2×C4×C43—24no—
654C2×C4×C43—24no—
655C2×C4×C43—24no—
656C2×C4×C43—28no—
657C2×C4×C43—44no—
658C2×C4×C43—44no—
659C2×C4×C43—48no—
660C2×C4×C43H(5,𝔽2)14yes—
661C2×C4×C43C2514yes—
662C2×C4×C43C2514yes—
663C2×C4×C43C2514yes—
664C2×C4×C43C2514yes—
665C2×C4×C43C2514yes—
666C2×C4×C43C2512yes—
667C2×C4×C43C2512yes—
668C22⋊D43—28no—
669C22⋊D43—28no—
670C22⋊D43—28no—
671C22⋊D43—28no—
672C22⋊D43—44no—
673C22⋊D43—44no—
674C22⋊D43—44no—
675C22⋊D43—48no—
676C2×Dic43—24no—
677C2×Dic43—28no—
678C2×Dic43—41no—
679C2×Dic43—42no—
680C2×Dic43—41no—
681C2×Dic43—44no—
682C2×Dic43—48no—
683C2×Dic43—44no—
684C2×Dic43—44no—
685C2×Dic43C2514yes—
686C2×Dic43C2512yes—
687C2×Dic43C2514yes—
688C2×Dic43C2514yes—
689C2×Dic43C2518yes—
690C2×Dic43C2512yes—
691D172—28no—
692D172—24no—
693D172—44no—
694D172—44no—
695D172—44no—
696C4×D43—28no—
697C4×D43—24no—
698C4×D43—24no—
699C4×D43—24no—
700C4×D43—24no—
701C4×D43—28no—
702C4×D43—42no—
703C4×D43—42no—
704C4×D43—42no—
705C4×D43—42no—
706C4×D43—44no—
707C4×D43—44no—
708C4×D43—48no—
709C4×D43—44no—
710C4×D43—48no—
711Dic86—24no—
712Dic86—44no—
713Dic86—44no—
714Dic86—48no—
715#62819—431nomaximal, Sylow
716C22×C43—28no—
717C22×C43—21no—
718C22×C43—21no—
719C22×C43—21no—
720C22×C43—21no—
721C22×C43—21no—
722C22×C43—21no—
723C22×C43—24no—
724C22×C43—24no—
725C22×C43—24no—
726C22×C43C2×H(5,𝔽2)12yes—
727C22×C43C2×2−1+412yes—
728C22×C43#58512yes—
729C22×C43C2611yescharacteristic
730C2×D43—22no—
731C2×D43—22no—
732C2×D43—22no—
733C2×D43—24no—
734C2×D43—22no—
735C2×D43—24no—
736C2×D43—22no—
737C2×D43—24no—
738C2×D43—44no—
739C2×D43—48no—
740C2×D43—48no—
741C2×D43—44no—
742C2×D43—88no—
743C2×D43C2×2−1+414yes—
744C4×C43—24no—
745C4×C43—24no—
746C4×C43—22no—
747C4×C43—24no—
748C4×C43—24no—
749C4×C43—24no—
750C4×C43C2×H(5,𝔽2)14yes—
751Dic43—24no—
752Dic43—22no—
753Dic43—22no—
754Dic43—24no—
755Dic43—24no—
756Dic43—28no—
757#3541—434no—
758#3541—434no—
759#3538—434no—
760#3536—434no—
761#3535—438no—
762#3520—434no—
763#3520—434no—
764#3505—434no—
765#3501—434no—
766#3495—432no—
767#3495—432no—
768#3492—434no—
769#3492—432no—
770#3490—434no—
771#3489—432no—
772#3489—432no—
773#3486—431no—
774#3486D4311yescharacteristic, complemented
775C2×#525—432no—
776C22×C22⋊Q8—431no—
777C2×C43—22no—
778C2×C43—22no—
779C2×C43—22no—
780C2×C43—44no—
781C2×C43C22×H(5,𝔽2)11yescharacteristic
782C2×C43C22×2−1+411yescharacteristic
783C2×C43C2×#58511yescharacteristic
784D43—24no—
785D43—42no—
786D43—44no—
787C2×2−1+4—431no—
788C2×2−1+4C2×D4311yescharacteristic, complemented
789C22×#41—432no—
790C23×Q8C2×D4311yescharacteristic, complemented
791C24×C4—431no—
792#563—438no—
793#563—438no—
794#562—438no—
795#562—438no—
796#556—434no—
797#556—434no—
798#554—438no—
799#554—438no—
800#554—434no—
801#554—438no—
802#554—434no—
803#554—434no—
804#554—434no—
805#554—438no—
806#553—438no—
807#553—434no—
808#553—434no—
809#553—438no—
810#552—438no—
811#552—434no—
812#552—434no—
813#552—434no—
814#552—434no—
815#552—434no—
816#552—434no—
817#552—438no—
818#551—438no—
819#551—438no—
820#551—438no—
821#551—438no—
822#551—438no—
823#551—438no—
824D4×Q8—434no—
825D4×Q8—434no—
826D4×Q8—434no—
827D4×Q8—434no—
828D4×Q8C2×D4314yescomplemented
829D4×Q8C2×D4314yescomplemented
830#548—434no—
831#548—434no—
832#548—434no—
833#548—434no—
834#548C2×D4314yescomplemented
835#548C2×D4314yescomplemented
836#547—438no—
837#547—434no—
838#547—434no—
839#547—438no—
840#547—434no—
841#547—434no—
842#546—438no—
843#546—434no—
844#546—434no—
845#546—438no—
846#546—438no—
847#546—438no—
848#544—438no—
849#544—434no—
850#544—432no—
851#543—434no—
852#543—438no—
853#542—438no—
854#542—434no—
855#542—438no—
856#542—434no—
857#541—434no—
858#541—434no—
859#539—438no—
860#539—434no—
861#539—438no—
862#539—438no—
863#539—438no—
864#539—434no—
865#539—438no—
866#538—438no—
867#538—434no—
868#538—434no—
869#538—438no—
870#537—432no—
871#537—434no—
872#537—434no—
873#537—434no—
874#536—432no—
875#536—434no—
876#536—434no—
877#536—434no—
878#536C2×D4312yescomplemented
879#536C2×D4314yescomplemented
880#534—434no—
881#533—434no—
882#533—434no—
883#529—434no—
884#529—434no—
885#525—432no—
886#525—434no—
887#525—432no—
888#525—434no—
889#525—434no—
890#525—432no—
891#525—432no—
892#525—434no—
893#525—432no—
894#525—432no—
895#525—434no—
896#525—438no—
897#525—434no—
898#525—434no—
899#525—432no—
900#525C2×D4312yescomplemented
901#525C2×D4314yescomplemented
902C2×#123—434no—
903C2×C22⋊Q8—434no—
904C2×C22⋊Q8—432no—
905C2×C22⋊Q8—432no—
906C2×C22⋊Q8—434no—
907C2×C22⋊Q8—434no—
908C2×C22⋊Q8—434no—
909C2×C22⋊Q8—434no—
910C2×C22⋊Q8—434no—
911C2×C22⋊Q8—432no—
912C2×C22⋊Q8—432no—
913C2×C22⋊Q8—434no—
914C2×#121—432no—
915C2×#121—432no—
916C2×#120—434no—
917#520—432no—
918#520—438no—
919#520—432no—
920#519—431no—
921#519C2×D4311yescharacteristic, complemented
922#518—438no—
923C2×C4×D4—434no—
924C2×C4×D4—434no—
925C2×#117—432no—
926C22×C4⋊C4—432no—
927C22×C4⋊C4—431no—
928C22×C22⋊C4—432no—
929C43#6281911yescharacteristic, complemented, Sylow
930C25—431no—
9312−1+4—44no—
9322−1+4—1724no—
933C2×#41—432no—
934C2×#41—434no—
935C2×#41—438no—
936C2×#41—434no—
937C2×#41—432no—
938C2×#41—432no—
939C2×#41—434no—
940C2×#41—434no—
941C2×#41—1728no—
942C2×#41C22×D4312yes—
943C2×#41C22×D4314yes—
944C2×#41C22×D4314yescomplemented
945C22×Q8—44no—
946C22×Q8—432no—
947C22×Q8—434no—
948C22×Q8C22×D4311yescharacteristic
949C22×Q8C22×D4311yescharacteristic
950C22×Q8C22×D4312yes—
951C22×Q8C22×D4314yes—
952C22×Q8C22×D4314yes—
953C22×Q8C22×D4314yescomplemented
954C22×D4—434no—
955C22×D4—434no—
956C22×D4—434no—
957C22×D4—432no—
958C23×C4—432no—
959C23×C4—431no—
960C23×C4—432no—
961C23×C4—432no—
962C23×C4—432no—
963C23×C4—434no—
964C23×C4—432no—
965C23×C4—432no—
966C23×C4—432no—
967C23×C4—1724no—
968C23×C4C22×D4311yescharacteristic
969C23×C4C22×D4312yes—
970C4⋊Q8—434no—
971C4⋊Q8—438no—
972C4⋊Q8—438no—
973C4⋊Q8—434no—
974C4⋊Q8—438no—
975C4⋊Q8—434no—
976C4⋊Q8C22×D4314yescomplemented
977C4⋊Q8C22×D4318yescomplemented
978#126—438no—
979#126—438no—
980#126—438no—
981#126—438no—
982#126—438no—
983#126—438no—
984#126—438no—
985#126—438no—
986#126—438no—
987#126—438no—
988#125—434no—
989#125—438no—
990#125—438no—
991#125—438no—
992#125—438no—
993#125—438no—
994#125—438no—
995#125—438no—
996#125—434no—
997#125—438no—
998#124—434no—
999#124—438no—
1000#124—438no—
1001#124—438no—
1002#124—438no—
1003#124—438no—
1004#124C22×D4314yescomplemented
1005#124C22×D4318yescomplemented
1006#123—434no—
1007#123—438no—
1008#123—438no—
1009#123—434no—
1010#123—438no—
1011#123—438no—
1012#123—438no—
1013#123—434no—
1014#123—434no—
1015#123—438no—
1016#123—438no—
1017#123—438no—
1018#123—438no—
1019#123—434no—
1020#123—434no—
1021#123—434no—
1022#123—438no—
1023#123—438no—
1024#123—438no—
1025#123—438no—
1026#123—438no—
1027#123—438no—
1028#123C22×D4314yes—
1029#123C22×D4318yes—
1030C22⋊Q8—434no—
1031C22⋊Q8—434no—
1032C22⋊Q8—432no—
1033C22⋊Q8—434no—
1034C22⋊Q8—434no—
1035C22⋊Q8—438no—
1036C22⋊Q8—438no—
1037C22⋊Q8—434no—
1038C22⋊Q8—434no—
1039C22⋊Q8—434no—
1040C22⋊Q8—434no—
1041C22⋊Q8—438no—
1042C22⋊Q8—438no—
1043C22⋊Q8—432no—
1044C22⋊Q8—434no—
1045C22⋊Q8—434no—
1046C22⋊Q8—438no—
1047C22⋊Q8—438no—
1048C22⋊Q8—434no—
1049C22⋊Q8—438no—
1050C22⋊Q8—438no—
1051C22⋊Q8—432no—
1052C22⋊Q8—432no—
1053C22⋊Q8—434no—
1054C22⋊Q8—434no—
1055C22⋊Q8—434no—
1056C22⋊Q8—438no—
1057C22⋊Q8—432no—
1058C22⋊Q8—432no—
1059C22⋊Q8—434no—
1060C22⋊Q8—434no—
1061C22⋊Q8—438no—
1062C22⋊Q8—438no—
1063C22⋊Q8—438no—
1064C22⋊Q8—438no—
1065C22⋊Q8—438no—
1066C22⋊Q8—438no—
1067C22⋊Q8—434no—
1068C22⋊Q8—434no—
1069C22⋊Q8—438no—
1070C22⋊Q8—438no—
1071C22⋊Q8—438no—
1072C22⋊Q8—438no—
1073C22⋊Q8—438no—
1074C22⋊Q8C22×D4312yes—
1075C22⋊Q8C22×D4312yes—
1076C22⋊Q8C22×D4314yes—
1077C22⋊Q8C22×D4314yes—
1078C22⋊Q8C22×D4314yescomplemented
1079C22⋊Q8C22×D4314yescomplemented
1080C22⋊Q8C22×D4318yescomplemented
1081C22⋊Q8C22×D4318yescomplemented
1082#121—432no—
1083#121—434no—
1084#121—432no—
1085#121—434no—
1086#121—438no—
1087#121—434no—
1088#121—438no—
1089#121—438no—
1090#121—438no—
1091#121—432no—
1092#121—432no—
1093#121—434no—
1094#121—434no—
1095#121—434no—
1096#121—438no—
1097#121—432no—
1098#121—432no—
1099#121—438no—
1100#121—434no—
1101#121—434no—
1102#121—438no—
1103#121—438no—
1104#121C22×D4312yes—
1105#121C22×D4312yes—
1106#121C22×D4314yes—
1107#121C22×D4314yes—
1108#120—434no—
1109#120—434no—
1110#120—434no—
1111#120—434no—
1112#120—438no—
1113#120—434no—
1114#120—434no—
1115#120—434no—
1116#120—438no—
1117#120C22×D4314yes—
1118C4×Q8—434no—
1119C4×Q8—434no—
1120C4×Q8—434no—
1121C4×Q8—438no—
1122C4×Q8—434no—
1123C4×Q8—438no—
1124C4×Q8C22×D4314yescomplemented
1125C4×Q8C22×D4314yescomplemented
1126C4×D4—434no—
1127C4×D4—434no—
1128C4×D4—438no—
1129C4×D4—438no—
1130C4×D4—434no—
1131C4×D4—434no—
1132C4×D4—434no—
1133C4×D4—434no—
1134C4×D4—434no—
1135C4×D4—438no—
1136C4×D4—438no—
1137C4×D4—438no—
1138C4×D4—438no—
1139C4×D4—434no—
1140C4×D4—434no—
1141C4×D4—438no—
1142C4×D4—434no—
1143C4×D4—434no—
1144C4×D4—434no—
1145C4×D4—434no—
1146C4×D4—438no—
1147C4×D4—438no—
1148C4×D4—438no—
1149C4×D4—438no—
1150C4×D4—434no—
1151C4×D4—434no—
1152C4×D4—438no—
1153C4×D4—434no—
1154C4×D4C22×D4314yes—
1155C4×D4C22×D4314yes—
1156C4×D4C22×D4318yes—
1157C4×D4C22×D4318yes—
1158#117—432no—
1159#117—434no—
1160#117—434no—
1161#117—432no—
1162#117—432no—
1163#117—438no—
1164#117—434no—
1165#117—434no—
1166#117—438no—
1167#117—438no—
1168#117—434no—
1169#117—438no—
1170#117—438no—
1171#117C22×D4312yes—
1172#117C22×D4314yes—
1173C2×C4⋊C4—432no—
1174C2×C4⋊C4—434no—
1175C2×C4⋊C4—434no—
1176C2×C4⋊C4—432no—
1177C2×C4⋊C4—434no—
1178C2×C4⋊C4—434no—
1179C2×C4⋊C4—434no—
1180C2×C4⋊C4—438no—
1181C2×C4⋊C4—434no—
1182C2×C4⋊C4—434no—
1183C2×C4⋊C4—438no—
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×C22⋊C4—434no—
1191C2×C22⋊C4—434no—
1192C2×C22⋊C4—438no—
1193C2×C22⋊C4—434no—
1194C2×C22⋊C4—434no—
1195C2×C22⋊C4—438no—
1196C2×C22⋊C4—434no—
1197C2×C22⋊C4—434no—
1198C2×C22⋊C4—434no—
1199C2×C22⋊C4—434no—
1200C2×C22⋊C4—434no—
1201C2×C22⋊C4—438no—
1202C2×C42—434no—
1203C24—431no—
1204C24—432no—
1205C24—432no—
1206C24—434no—
1207C24—431no—
1208C24—864no—
1209C24—1722no—
1210C24—1722no—
1211C24C23×D4311yescharacteristic
1212#41—28no—
1213#41—48no—
1214#41—48no—
1215#41—868no—
1216#41—1728no—
1217#41—1728no—
1218#41—1728no—
1219#41—17216no—
1220#41—1724no—
1221#41—1724no—
1222#41—1728no—
1223C2×Q8—24no—
1224C2×Q8—24no—
1225C2×Q8—44no—
1226C2×Q8—48no—
1227C2×Q8—48no—
1228C2×Q8—48no—
1229C2×Q8—432no—
1230C2×Q8—438no—
1231C2×Q8—434no—
1232C2×Q8—434no—
1233C2×Q8—1724no—
1234C2×Q8—1728no—
1235C2×Q8C23×D4312yes—
1236C2×Q8C23×D4314yes—
1237C2×Q8C23×D4314yes—
1238C2×Q8C23×D4318yes—
1239C2×Q8C23×D4314yes—
1240C2×D4—434no—
1241C2×D4—434no—
1242C2×D4—434no—
1243C2×D4—434no—
1244C2×D4—438no—
1245C2×D4—434no—
1246C2×D4—434no—
1247C2×D4—434no—
1248C2×D4—434no—
1249C2×D4—432no—
1250C2×D4—434no—
1251C2×D4—434no—
1252C2×D4—434no—
1253C2×D4—8616no—
1254C2×D4—1724no—
1255C2×D4—1728no—
1256C2×D4—1728no—
1257C2×D4C23×D4314yes—
1258C2×D4C23×D4314yes—
1259C2×D4C23×D4312yes—
1260C2×D4C23×D4314yes—
1261C2×D4C23×D4314yes—
1262C22×C4—24no—
1263C22×C4—44no—
1264C22×C4—434no—
1265C22×C4—432no—
1266C22×C4—434no—
1267C22×C4—434no—
1268C22×C4—438no—
1269C22×C4—431no—
1270C22×C4—432no—
1271C22×C4—431no—
1272C22×C4—434no—
1273C22×C4—432no—
1274C22×C4—434no—
1275C22×C4—432no—
1276C22×C4—434no—
1277C22×C4—432no—
1278C22×C4—432no—
1279C22×C4—434no—
1280C22×C4—432no—
1281C22×C4—434no—
1282C22×C4—432no—
1283C22×C4—438no—
1284C22×C4—438no—
1285C22×C4—434no—
1286C22×C4—432no—
1287C22×C4—432no—
1288C22×C4—868no—
1289C22×C4—1724no—
1290C22×C4—1724no—
1291C22×C4—1724no—
1292C22×C4—1724no—
1293C22×C4—1728no—
1294C22×C4—1724no—
1295C22×C4—1722no—
1296C22×C4—1724no—
1297C22×C4C23×D4312yes—
1298C22×C4C23×D4312yes—
1299C22×C4C23×D4312yes—
1300C22×C4C23×D4312yes—
1301C22×C4C23×D4311yescharacteristic
1302C22×C4C23×D4314yes—
1303C22×C4C23×D4314yes—
1304C22×C4C23×D4314yes—
1305C22×C4C23×D4318yes—
1306C22×C4C23×D4311yescharacteristic
1307C4⋊C4—434no—
1308C4⋊C4—434no—
1309C4⋊C4—438no—
1310C4⋊C4—438no—
1311C4⋊C4—432no—
1312C4⋊C4—434no—
1313C4⋊C4—434no—
1314C4⋊C4—438no—
1315C4⋊C4—438no—
1316C4⋊C4—438no—
1317C4⋊C4—438no—
1318C4⋊C4—432no—
1319C4⋊C4—434no—
1320C4⋊C4—434no—
1321C4⋊C4—434no—
1322C4⋊C4—434no—
1323C4⋊C4—434no—
1324C4⋊C4—434no—
1325C4⋊C4—438no—
1326C4⋊C4—438no—
1327C4⋊C4—438no—
1328C4⋊C4—438no—
1329C4⋊C4—438no—
1330C4⋊C4—438no—
1331C4⋊C4—438no—
1332C4⋊C4—434no—
1333C4⋊C4—434no—
1334C4⋊C4C23×D4312yes—
1335C4⋊C4C23×D4312yes—
1336C4⋊C4C23×D4314yes—
1337C4⋊C4C23×D4314yes—
1338C4⋊C4C23×D4318yes—
1339C4⋊C4C23×D4318yes—
1340C4⋊C4C23×D4314yes—
1341C4⋊C4C23×D4314yes—
1342C22⋊C4—434no—
1343C22⋊C4—434no—
1344C22⋊C4—434no—
1345C22⋊C4—434no—
1346C22⋊C4—434no—
1347C22⋊C4—438no—
1348C22⋊C4—438no—
1349C22⋊C4—438no—
1350C22⋊C4—438no—
1351C22⋊C4—434no—
1352C22⋊C4—434no—
1353C22⋊C4—438no—
1354C22⋊C4—438no—
1355C22⋊C4—434no—
1356C22⋊C4—434no—
1357C22⋊C4—434no—
1358C22⋊C4—434no—
1359C22⋊C4—434no—
1360C22⋊C4—434no—
1361C22⋊C4—438no—
1362C22⋊C4—438no—
1363C22⋊C4—434no—
1364C22⋊C4—434no—
1365C22⋊C4—438no—
1366C22⋊C4—438no—
1367C22⋊C4C23×D4314yes—
1368C22⋊C4C23×D4314yes—
1369C22⋊C4C23×D4314yes—
1370C22⋊C4C23×D4318yes—
1371C22⋊C4C23×D4314yes—
1372C22⋊C4C23×D4314yes—
1373C22⋊C4C23×D4318yes—
1374C42—434no—
1375C42—434no—
1376C42—434no—
1377C42—438no—
1378C42—438no—
1379C42—438no—
1380C42C23×D4314yes—
1381C42C23×D4318yes—
1382C23—22no—
1383C23—22no—
1384C23—22no—
1385C23—432no—
1386C23—434no—
1387C23—432no—
1388C23—434no—
1389C23—868no—
1390C23—864no—
1391C23—864no—
1392C23—864no—
1393C23—862no—
1394C23—864no—
1395C23—1724no—
1396C23—1724no—
1397C23—1721no—
1398C23—1722no—
1399C23—1721no—
1400C23—1721no—
1401C23—1722no—
1402C23—1721no—
1403C23—17216no—
1404C23C24×D4314yes—
1405C23C24×D4311yescharacteristic
1406C23C24×D4311yescharacteristic
1407C23C24×D4311yescharacteristic
1408Q8—28no—
1409Q8—28no—
1410Q8—24no—
1411Q8—48no—
1412Q8—44no—
1413Q8—864no—
1414Q8—1724no—
1415Q8—1724no—
1416Q8—1728no—
1417D4—28no—
1418D4—28no—
1419D4—28no—
1420D4—24no—
1421D4—44no—
1422D4—868no—
1423D4—868no—
1424D4—868no—
1425D4—868no—
1426D4—868no—
1427D4—864no—
1428D4—1724no—
1429D4—1724no—
1430D4—1724no—
1431D4—1724no—
1432D4—1724no—
1433D4—1724no—
1434D4—1728no—
1435C2×C4—22no—
1436C2×C4—24no—
1437C2×C4—24no—
1438C2×C4—24no—
1439C2×C4—24no—
1440C2×C4—28no—
1441C2×C4—44no—
1442C2×C4—44no—
1443C2×C4—48no—
1444C2×C4—434no—
1445C2×C4—434no—
1446C2×C4—432no—
1447C2×C4—438no—
1448C2×C4—434no—
1449C2×C4—432no—
1450C2×C4—868no—
1451C2×C4—864no—
1452C2×C4—868no—
1453C2×C4—864no—
1454C2×C4—864no—
1455C2×C4—864no—
1456C2×C4—864no—
1457C2×C4—868no—
1458C2×C4—1722no—
1459C2×C4—1722no—
1460C2×C4—1722no—
1461C2×C4—1722no—
1462C2×C4—1724no—
1463C2×C4—1724no—
1464C2×C4—1724no—
1465C2×C4—1728no—
1466C2×C4—1728no—
1467C2×C4—1721no—
1468C2×C4—1722no—
1469C2×C4—1721no—
1470C2×C4—1724no—
1471C2×C4—1724no—
1472C2×C4—1724no—
1473C2×C4—1728no—
1474C2×C4#1306337014yes—
1475C2×C4C24×D4314yes—
1476C2×C4C24×D4314yes—
1477C2×C4C24×D4314yes—
1478C2×C4C24×D4314yes—
1479C2×C4C24×D4314yes—
1480C2×C4C24×D4312yes—
1481C2×C4C24×D4312yes—
1482C22—28no—
1483C22—21no—
1484C22—21no—
1485C22—21no—
1486C22—21no—
1487C22—21no—
1488C22—21no—
1489C22—24no—
1490C22—24no—
1491C22—24no—
1492C22—434no—
1493C22—862no—
1494C22—862no—
1495C22—862no—
1496C22—864no—
1497C22—864no—
1498C22—862no—
1499C22—864no—
1500C22—862no—
1501C22—3448no—
1502C22—1724no—
1503C22—1728no—
1504C22—1728no—
1505C22—1724no—
1506C22C2×#1306337012yes—
1507C222−1+4×D4312yes—
1508C22#1458373612yes—
1509C22C25×D4311yescharacteristic
1510C4—22no—
1511C4—24no—
1512C4—24no—
1513C4—24no—
1514C4—24no—
1515C4—24no—
1516C4—862no—
1517C4—862no—
1518C4—864no—
1519C4—864no—
1520C4—868no—
1521C4—864no—
1522C4C2×#1306337014yes—
1523C2—22no—
1524C2—22no—
1525C2—22no—
1526C2—44no—
1527C2—864no—
1528C2—1724no—
1529C2—1722no—
1530C2C22×#1306337011yescharacteristic
1531C2C2×2−1+4×D4311yescharacteristic
1532C2C2×#1458373611yescharacteristic
subgroupG/H
center, FrattiniC22C25×D43
commutator, socle, cosocleC22×C43C26
FittingC43×#3486C2
hypercenter#3486D43
hypocenterC43#62819
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C22 ◁ #3486

Complements

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

NH ≅ G/Ntype
1. #19148893C2semidirect
2. #19148874C2semidirect
3. #19148836C2semidirect
4. #19148811C2semidirect
5. #19148794C2semidirect
6. #19148645C2semidirect
7. #19148637C2semidirect
8. #19148431C2semidirect
9. #19148390C2semidirect
10. #19148344C2semidirect
11. #19148337C2semidirect
12. #19148301C2semidirect
13. #19148296C2semidirect
14. #19148278C2semidirect
15. #19148273C2semidirect
16. #19148268C2semidirect
17. #19148246C2semidirect
18. #525×D43C2semidirect
19. C22×#13063301C2semidirect
20. C43×#3486C2semidirect
21. C2×#13063373C22semidirect
22. C2×#41×D43C22semidirect
24. #14583650C22semidirect
25. #14583648C22semidirect
26. #14583645C22semidirect
27. #14583643C22semidirect
28. #14583622C22semidirect
29. #14583620C22semidirect
30. #14583610C22semidirect
31. #14583609C22semidirect
32. #14583608C22semidirect
33. #14583607C22semidirect
34. #14583607C22semidirect
35. #14583606C22semidirect
36. #14583603C22semidirect
37. #14583603C22semidirect
38. #14583601C22semidirect
39. #14583598C22semidirect
40. #14583595C22semidirect
41. #14583592C22semidirect
42. #14583591C22semidirect
43. #14583591C22semidirect
44. #14583590C22semidirect
45. #14583590C22semidirect
46. #14583589C22semidirect
47. #14583586C22semidirect
48. #14583583C22semidirect
49. #14583582C22semidirect
50. #14583579C22semidirect
51. #14583578C22semidirect
52. #14583576C22semidirect
53. #14583576C22semidirect
54. #14583573C22semidirect
55. #14583572C22semidirect
56. #14583564C22semidirect
57. Q8×C22⋊D43C22semidirect
58. Q8×C22⋊D43C22semidirect
59. Q8×C22⋊D43C22semidirect
60. #14583560C22semidirect
61. #14583560C22semidirect
62. #14583560C22semidirect
63. #14583557C22semidirect
64. #14583553C22semidirect
65. #14583552C22semidirect
66. #14583549C22semidirect
67. #14583548C22semidirect
68. #14583548C22semidirect
69. #14583547C22semidirect
70. #14583544C22semidirect
71. #14583542C22semidirect
72. #14583541C22semidirect
73. #14583538C22semidirect
74. #14583537C22semidirect
75. #14583537C22semidirect
76. #14583528C22semidirect
77. #14583527C22semidirect
78. #14583526C22semidirect
80. #14583524C22semidirect
81. #14583523C22semidirect
82. #14583521C22semidirect
83. #14583518C22semidirect
84. #14583513C22semidirect
85. #14583510C22semidirect
86. #14583507C22semidirect
87. #14583498C22semidirect
88. #14583498C22semidirect
89. #14583495C22semidirect
90. #14583495C22semidirect
91. #14583494C22semidirect
92. #14583493C22semidirect
93. #14583491C22semidirect
94. #14583489C22semidirect
95. #14583486C22semidirect
96. #14583483C22semidirect
97. #14583482C22semidirect
98. #14583479C22semidirect
99. #14583477C22semidirect
100. #14583477C22semidirect
101. #14583476C22semidirect
102. #14583473C22semidirect
103. #14583473C22semidirect
104. #14583473C22semidirect
105. #14583472C22semidirect
107. #14583454C22semidirect
108. #14583453C22semidirect
109. #14583436C22semidirect
110. #14583428C22semidirect
112. #14583412C22semidirect
113. #14583412C22semidirect
115. #14583410C22semidirect
116. #14583410C22semidirect
118. #14583409C22semidirect
120. #14583408C22semidirect
123. #14583406C22semidirect
124. #14583405C22semidirect
125. #14583405C22semidirect
126. #123×D43C22semidirect
128. C2×#13063301C22semidirect
129. C2×#13063301C22semidirect
130. C2×#13063301C22semidirect
131. C2×#13063301C22semidirect
132. C2×#13063301C22semidirect
133. C2×#13063301C22semidirect
134. C2×#13063301C22semidirect
136. C22⋊Q8×D43C22semidirect
137. C22⋊Q8×D43C22semidirect
139. #121×D43C22semidirect
141. #14583382C22semidirect
142. #14583379C22semidirect
143. #14583378C22semidirect
144. #14583377C22semidirect
147. C4×D4×D43C22semidirect
148. #117×D43C22semidirect
149. C22×C4⋊Dic43C22semidirect
150. C22×Dic43⋊C4C22semidirect
152. C2×2−1+4×C43C22semidirect
153. C23×Q8×C43C22semidirect
154. D4×Q8×C43C22semidirect
155. D4×Q8×C43C22semidirect
156. C43×#548C22semidirect
157. C43×#548C22semidirect
158. C43×#536C22semidirect
159. C43×#536C22semidirect
160. C43×#525C22semidirect
161. C43×#525C22semidirect
162. C43×#519C22semidirect
166. C2×#10621902C23semidirect
175. C2×Q8×D43C23semidirect
190. #13063325C23semidirect
191. #13063324C23semidirect
192. #13063324C23semidirect
193. #13063323C23semidirect
194. #13063323C23semidirect
195. #13063323C23semidirect
199. #13063320C23semidirect
200. #13063320C23semidirect
202. #13063319C23semidirect
203. #13063318C23semidirect
204. #13063318C23semidirect
205. #13063318C23semidirect
206. #13063317C23semidirect
207. #13063317C23semidirect
208. #13063316C23semidirect
209. #13063316C23semidirect
210. #13063316C23semidirect
211. #13063315C23semidirect
212. #13063315C23semidirect
213. #13063315C23semidirect
214. #13063315C23semidirect
215. #13063315C23semidirect
217. #13063314C23semidirect
218. #13063314C23semidirect
227. #13063310C23semidirect
231. #13063309C23semidirect
235. #13063308C23semidirect
239. #13063307C23semidirect
240. #13063307C23semidirect
243. #13063306C23semidirect
247. #13063305C23semidirect
252. #13063304C23semidirect
253. #13063304C23semidirect
258. #13063303C23semidirect
259. #13063303C23semidirect
264. #13063302C23semidirect
265. #13063302C23semidirect
266. #13063302C23semidirect
282. #13063301C23semidirect
283. #13063301C23semidirect
284. #13063301C23semidirect
285. #13063301C23semidirect
286. #13063301C23semidirect
287. #13063301C23semidirect
296. #13063299C23semidirect
300. #13063298C23semidirect
306. #13063297C23semidirect
309. #13063296C23semidirect
319. Q8×Dic43C23semidirect
320. Q8×Dic43C23semidirect
321. Q8×Dic43C23semidirect
322. C4×Dic86C23semidirect
323. C4×Dic86C23semidirect
324. #13063290C23semidirect
328. C4×D172C23semidirect
333. D4×Dic43C23semidirect
344. C4×C22⋊D43C23semidirect
352. (C22⋊D43)⋊C4C23semidirect
355. #13063284C23semidirect
359. #13063283C23semidirect
362. #13063282C23semidirect
365. #13063281C23semidirect
370. C2×C4⋊Dic43C23semidirect
376. C2×Dic43⋊C4C23semidirect
381. C4⋊C4×D43C23semidirect
382. C4⋊C4×D43C23semidirect
399. C2×#41×C43C23semidirect
406. C22×Q8×C43C23semidirect
409. C4⋊Q8×C43C23semidirect
410. C4⋊Q8×C43C23semidirect
411. #124×C43C23semidirect
412. #124×C43C23semidirect
419. C22⋊Q8×C43C23semidirect
420. C22⋊Q8×C43C23semidirect
421. C22⋊Q8×C43C23semidirect
422. C22⋊Q8×C43C23semidirect
428. C4×Q8×C43C23semidirect
429. C4×Q8×C43C23semidirect
637. C22×D432−1+4semidirect
774. #3486D43semidirect
788. C2×2−1+4C2×D43semidirect
790. C23×Q8C2×D43semidirect
828. D4×Q8C2×D43semidirect
829. D4×Q8C2×D43semidirect
834. #548C2×D43semidirect
835. #548C2×D43semidirect
878. #536C2×D43semidirect
879. #536C2×D43semidirect
900. #525C2×D43semidirect
901. #525C2×D43semidirect
921. #519C2×D43semidirect
929. C43#62819semidirect
944. C2×#41C22×D43semidirect
953. C22×Q8C22×D43semidirect
976. C4⋊Q8C22×D43semidirect
977. C4⋊Q8C22×D43semidirect
1004. #124C22×D43semidirect
1005. #124C22×D43semidirect
1078. C22⋊Q8C22×D43semidirect
1079. C22⋊Q8C22×D43semidirect
1080. C22⋊Q8C22×D43semidirect
1081. C22⋊Q8C22×D43semidirect
1124. C4×Q8C22×D43semidirect
1125. C4×Q8C22×D43semidirect

Maximal subgroups

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

subgroupindex
#191488932
#191488742
#191488362
#191488112
#191487942
#191486452
#191486372
#191484312
#191483902
#191483442
#191483372
#191483012
#191482962
#191482782
#191482732
#191482682
#191482462
#525×D432
C22×#130633012
C43×#34862
#6281943