Finite Group Databasebeta

← #26005175

Subgroups — #26005175

Order 11008.

7210 conjugacy classes of subgroups.

The subgroup lattice has 1690 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148510C214yesmaximal, complemented
2#19148507C212yesmaximal, complemented
3#19148496C212yesmaximal, complemented
4#19148484C214yesmaximal, complemented
5#19148474C212yesmaximal, complemented
6#19148464C212yesmaximal, complemented
7#19148451C214yesmaximal, complemented
8#19148438C214yesmaximal, complemented
9#19148430C214yesmaximal, complemented
10#19148423C214yesmaximal, complemented
11#19148193C214yesmaximal, complemented
12#19148186C214yesmaximal, complemented
13#19148157C214yesmaximal, complemented
14#19148151C214yesmaximal, complemented
15#19147983C212yesmaximal, complemented
16#19147980C212yesmaximal, complemented
17#19147925C212yesmaximal, complemented
18#19147892C211yesmaximal, characteristic, complemented
19#19147891C211yesmaximal, characteristic, complemented
20#19147890C211yesmaximal, characteristic, complemented
21#533×D43C211yesmaximal, characteristic, complemented
22#532×D43C211yesmaximal, characteristic, complemented
23#19147794C212yesmaximal, complemented
24C2×C4×#10621898C211yesmaximal, characteristic, complemented
25C43×#3444C211yesmaximal, characteristic, complemented
26C22×#10621898C2211yescharacteristic
27C2×#41×D43C2212yes—
28#14583633C2218yescomplemented
29#14583632C2218yescomplemented
30#14583632C2214yescomplemented
31#14583631C2214yescomplemented
32#14583626C2214yescomplemented
33#14583625C2214yescomplemented
34#14583621C2214yescomplemented
35#14583620C2214yescomplemented
36#14583618C2214yescomplemented
37#14583617C2214yescomplemented
38#14583617C2218yescomplemented
39#14583616C2218yescomplemented
40#14583613C2214yescomplemented
41#14583612C2214yescomplemented
42#14583608C2214yescomplemented
43#14583605C2214yescomplemented
44#14583602C2214yescomplemented
45#14583600C2218yescomplemented
46#14583599C2218yescomplemented
47#14583599C2214yescomplemented
48#14583598C2218yescomplemented
49#14583596C2214yescomplemented
50#14583594C2218yescomplemented
51#14583594C2218yescomplemented
52#14583593C2214yescomplemented
53#14583593C2218yescomplemented
54#14583590C2214yescomplemented
55#14583588C2214yescomplemented
56#14583587C2214yescomplemented
57#14583585C2218yescomplemented
58#14583583C2214yescomplemented
59#14583582C2218yescomplemented
60#14583578C2218yescomplemented
61#14583577C2218yescomplemented
62#14583574C2218yescomplemented
63#14583573C2218yescomplemented
64#14583568C2214yescomplemented
65#14583567C2214yescomplemented
66#14583561C2214yescomplemented
67#14583559C2214yescomplemented
68#14583557C2214yescomplemented
69#14583556C2214yescomplemented
70#14583551C2214yescomplemented
71#14583548C2214yescomplemented
72#14583546C2214yescomplemented
73#14583544C2214yescomplemented
74#14583542C2214yescomplemented
75#14583537C2214yescomplemented
76#14583522C2214yescomplemented
77#14583521C2214yescomplemented
78#14583516C2214yescomplemented
79#14583514C2214yescomplemented
80#14583509C2214yescomplemented
81#14583507C2214yescomplemented
82#14583502C2214yescomplemented
83#14583500C2214yescomplemented
84#14583493C2218yescomplemented
85#14583491C2218yescomplemented
86#14583484C2218yescomplemented
87#14583482C2218yescomplemented
88#14583479C2214yescomplemented
89#14583478C2214yescomplemented
90#14583472C2214yes—
91#14583471C2214yescomplemented
92#14583465C2214yes—
93#14583464C2214yescomplemented
94#14583460C2214yes—
95#14583459C2214yes—
96#14583456C2211yescharacteristic, complemented
97#14583456C2212yescomplemented
98#14583455C2212yescomplemented
99#14583454C2212yescomplemented
100#14583454C2212yescomplemented
101#14583454C2212yescomplemented
102#14583453C2214yescomplemented
103#14583452C2212yescomplemented
104#14583451C2214yescomplemented
105#14583450C2211yescharacteristic, complemented
106#14583450C2212yescomplemented
107#14583449C2211yescharacteristic
108#14583449C2212yescomplemented
109#14583448C2212yescomplemented
110#14583447C2211yescharacteristic, complemented
111#14583447C2212yescomplemented
112#14583446C2214yescomplemented
113#14583446C2218yescomplemented
114#14583445C2212yes—
115#14583444C2214yes—
116C4⋊Q8×D43C2211yescharacteristic, complemented
117C4⋊Q8×D43C2212yescomplemented
118#127×D43C2211yescharacteristic, complemented
119#14583436C2214yescomplemented
120#14583435C2214yescomplemented
121#14583434C2214yescomplemented
122#14583433C2214yescomplemented
123#14583433C2214yescomplemented
124#14583433C2214yescomplemented
125#14583433C2218yescomplemented
126#14583431C2214yescomplemented
127#14583431C2218yescomplemented
128#14583430C2214yescomplemented
129#14583429C2218yescomplemented
130#14583428C2214yescomplemented
131#14583427C2218yescomplemented
132#125×D43C2212yescomplemented
133#124×D43C2212yescomplemented
134#14583412C2214yescomplemented
135#14583411C2212yescomplemented
136#14583410C2214yescomplemented
137#14583410C2212yescomplemented
138#14583409C2214yescomplemented
139#14583408C2218yes—
140#14583406C2212yescomplemented
141C22⋊Q8×D43C2214yes—
142#121×D43C2214yes—
143#14583381C2214yescomplemented
144#14583378C2218yescomplemented
145#14583378C2214yescomplemented
146#14583375C2214yescomplemented
147#14583371C2218yes—
148#14583371C2214yescomplemented
149#41×Dic43C2212yescomplemented
150C4×#10621902C2214yescomplemented
151C4×#10621898C2212yes—
152C4×#10621898C2212yes—
153C4×#10621898C2212yes—
154C4×#10621898C2212yes—
155C4×#10621898C2212yescomplemented
156C4×#10621898C2214yescomplemented
157C4×#10621898C2214yescomplemented
158C4×#10621898C2212yescomplemented
159C4×#10621898C2212yescomplemented
160C4×#10621898C2212yescomplemented
161C4×#10621898C2212yescomplemented
162#14583367C2212yescomplemented
163#14583367C2214yescomplemented
164C4×#10621900C2214yescomplemented
165C2×C4×Dic86C2212yescomplemented
166C4×Q8×D43C2214yescomplemented
167C2×C4×D172C2212yes—
168C2×C4×C22⋊D43C2212yes—
169C2×C4×C22⋊D43C2212yescomplemented
170C4×D4×D43C2214yescomplemented
171C2×#13063284C2211yescharacteristic, complemented
172C2×#13063282C2211yescharacteristic
173C2×#13063282C2214yescomplemented
174C2×#13063282C2211yescharacteristic, complemented
175#117×D43C2212yes—
176#117×D43C2214yescomplemented
177C2×C42×D43C2211yescharacteristic
178C2×C42×D43C2211yescharacteristic, complemented
179C43×#533C2211yescharacteristic, complemented
180C43×#533C2212yescomplemented
181C43×#532C2211yescharacteristic
182C43×#532C2212yescomplemented
183C43×#529C2214yescomplemented
184C43×#529C2214yescomplemented
185C43×#529C2214yescomplemented
186C43×#525C2214yescomplemented
187C43×#525C2212yescomplemented
188C4×#41×C43C2212yescomplemented
189C4×#41×C43C2214yescomplemented
190C22×C42×C43C2211yescharacteristic, complemented
191C2×#10621902C2312yes—
192C2×#10621902C2314yes—
193C2×#10621898—28no—
194C2×#10621898C2312yes—
195C2×#10621898C2314yes—
196C2×#10621898C2312yes—
197C2×#10621898C2312yes—
198C2×#10621898C2312yes—
199C2×#10621898C2312yes—
200C2×#10621898C2314yes—
201C2×#10621900C2314yes—
202C2×#10621900C2312yes—
203C2×#10621900C2314yes—
204#41×D43—216no—
205C22×Dic86C2311yescharacteristic
206C2×Q8×D43C2312yes—
207C2×Q8×D43C2314yes—
208C22×D172C2311yescharacteristic
209C22×C22⋊D43C2311yescharacteristic
210C22×C22⋊D43C2311yescharacteristic
211C2×D4×D43C2314yes—
212C2×D4×D43C2312yes—
213C2×D4×D43C2314yes—
214C22×C4×D43C2311yescharacteristic
215C22×C4×D43C2314yes—
216C22×C4×D43C2312yes—
217C22×C4×D43C2312yes—
218C22×C4×D43C2311yescharacteristic
219#13063325C2311yescharacteristic
220#13063325C2312yes—
221#13063324C2314yes—
222#13063324C2318yes—
223#13063324C2314yes—
224#13063324C2314yes—
225#13063323C2314yes—
226#13063323C2312yes—
227#13063322C2311yescharacteristic
228#13063321C2314yes—
229#13063321C2318yes—
230#13063321C2312yes—
231#13063320C2318yes—
232#13063320C2318yes—
233#13063320C2318yes—
234#13063319C2318yes—
235#13063319C2318yes—
236#13063319C2318yes—
237#13063318C2318yes—
238#13063318C2318yes—
239#13063318C2318yes—
240#13063318C2318yes—
241#13063318C2318yes—
242#13063317C2318yes—
243#13063317C2314yes—
244#13063317C2312yes—
245#13063316C2314yes—
246#13063316C2318yes—
247#13063316C2314yes—
248#13063316C2314yes—
249#13063315C2318yes—
250#13063315C2318yes—
251#13063315C2318yes—
252#13063314C2314yes—
253#13063314C2312yes—
254#13063313C2318yes—
255#13063313C2314yes—
256#13063313C2312yes—
257#13063312C2318yes—
258#13063312C2314yes—
259#13063312C2312yes—
260#13063311C2318yes—
261#13063311C2318yes—
262#13063311C2318yes—
263#13063311C2318yes—
264#13063311C2318yes—
265#13063310C2318yes—
266#13063310C2318yes—
267#13063310C2318yes—
268#13063309C2318yes—
269#13063309C2314yes—
270#13063308C2318yes—
271#13063308C2318yes—
272#13063308C2318yes—
273#13063308C2314yes—
274#13063307C2318yes—
275#13063307C2318yes—
276#13063307C2318yes—
277#13063307C2318yes—
278#13063307C2318yes—
279#13063306C2318yes—
280#13063306C2314yes—
281#13063305C2318yes—
282#13063305C2314yes—
283#13063305C2314yes—
284#13063305C2314yes—
285#13063304C2318yes—
286#13063304C2314yes—
287#13063304C2314yes—
288#13063304C2314yes—
289#13063303C2318yes—
290#13063303C2318yes—
291#13063303C2318yes—
292#13063302C2318yes—
293#13063302C2318yes—
294#13063302C2318yes—
295#13063301C2314yes—
296#13063301C2314yes—
297#13063301C2314yes—
298#13063300C2314yes—
299#13063300C2318yes—
300#13063300C2314yes—
301#13063300C2314yes—
302#13063299C2318yes—
303#13063299C2314yes—
304#13063299C2314yes—
305#13063299C2314yes—
306#13063298C2318yes—
307#13063298C2318yes—
308#13063298C2318yes—
309#13063298C2318yes—
310#13063298C2318yes—
311#13063297C2318yes—
312#13063297C2318yes—
313#13063297C2318yes—
314#13063296C2314yes—
315#13063296C2318yes—
316#13063296C2318yes—
317#13063296C2314yes—
318#13063296C2314yes—
319#13063295C2318yes—
320#13063295C2314yes—
321#13063294C2314yes—
322#13063293C2318yes—
323#13063293C2314yes—
324Q8×Dic43C2314yes—
325Q8×Dic43C2314yes—
326Q8×Dic43C2314yes—
327C4×Dic86C2314yes—
328C4×Dic86C2312yes—
329C4×Dic86C2312yes—
330C4×Dic86C2312yes—
331C4×Dic86C2312yes—
332C4×Dic86C2312yes—
333C4×Dic86C2312yes—
334C4×Dic86C2318yes—
335C4×Dic86C2314yes—
336C4×Dic86C2318yes—
337C4×Dic86C2312yes—
338C4×Dic86C2312yes—
339C4×Dic86C2314yes—
340#13063290C2314yes—
341#13063290C2314yes—
342#13063290C2318yes—
343#13063290C2318yes—
344#13063290C2314yes—
345C4×D172C2312yes—
346C4×D172C2312yes—
347C4×D172C2318yes—
348C4×D172C2312yes—
349C4×D172C2312yes—
350C4×D172C2312yes—
351C4×D172C2312yes—
352C4×D172C2312yes—
353C4×D172C2312yes—
354C4×D172C2314yes—
355C4×D172C2314yes—
356C4×D172C2314yes—
357C4×D172C2318yes—
358D4×Dic43C2314yes—
359D4×Dic43C2314yes—
360D4×Dic43C2318yes—
361D4×Dic43C2314yes—
362#13063287C2318yes—
363#13063287C2318yes—
364#13063287C2314yes—
365#13063287C2314yes—
366#13063287C2314yes—
367C4×C22⋊D43C2312yes—
368C4×C22⋊D43C2318yes—
369C4×C22⋊D43C2312yes—
370C4×C22⋊D43C2312yes—
371C4×C22⋊D43C2312yes—
372C4×C22⋊D43C2318yes—
373C4×C22⋊D43C2312yes—
374C4×C22⋊D43C2318yes—
375C4×C22⋊D43C2312yes—
376C4×C22⋊D43C2312yes—
377C4×C22⋊D43C2312yes—
378C4×C22⋊D43C2312yes—
379C4×C22⋊D43C2312yes—
380C4×C22⋊D43C2312yes—
381C4×C22⋊D43C2312yes—
382C4×C22⋊D43C2318yes—
383C4×C22⋊D43C2312yes—
384C4×C22⋊D43C2312yes—
385C4×C22⋊D43C2312yes—
386C4×C22⋊D43C2312yes—
387C4×C22⋊D43C2318yes—
388C4×C22⋊D43C2318yes—
389C4×C22⋊D43C2318yes—
390(C22⋊D43)⋊C4C2318yes—
391(C22⋊D43)⋊C4C2318yes—
392(C22⋊D43)⋊C4C2318yes—
393(C22⋊D43)⋊C4C2318yes—
394(C22⋊D43)⋊C4C2318yes—
395#13063284C2314yes—
396#13063284C2312yes—
397#13063284C2314yes—
398#13063284C2312yes—
399#13063284C2312yes—
400#13063284C2312yes—
401#13063284C2312yes—
402#13063283C2318yes—
403#13063283C2318yes—
404#13063283C2314yes—
405#13063283C2314yes—
406#13063283C2314yes—
407#13063282C2318yes—
408#13063282C2318yes—
409#13063282C2318yes—
410#13063282C2314yes—
411#13063282C2311yescharacteristic
412#13063282C2311yescharacteristic
413#13063282C2311yescharacteristic
414#13063282C2312yes—
415#13063282C2311yescharacteristic
416#13063282C2312yes—
417#13063282C2314yes—
418#13063282C2312yes—
419#13063282C2312yes—
420#13063282C2312yes—
421#13063282C2312yes—
422#13063282C2314yes—
423#13063281C2318yes—
424#13063281C2318yes—
425#13063281C2314yes—
426C2×C4⋊Dic43C2312yes—
427C2×Dic43⋊C4C2318yes—
428C2×Dic43⋊C4C2312yes—
429C2×Dic43⋊C4C2312yes—
430C4⋊C4×D43C2314yes—
431C4⋊C4×D43C2318yes—
432C4⋊C4×D43C2318yes—
433C4⋊C4×D43C2314yes—
434C4⋊C4×D43C2314yes—
435C2×C22⋊Dic43C2312yes—
436C2×(C2×D43)⋊C4C2318yes—
437C2×(C2×D43)⋊C4C2312yes—
438C2×(C2×D43)⋊C4C2312yes—
439C22⋊C4×D43C2318yes—
440C22⋊C4×D43C2318yes—
441C22⋊C4×D43C2314yes—
442C2×C4×Dic43C2311yescharacteristic
443C2×C4×Dic43C2312yes—
444C2×C4×Dic43C2311yescharacteristic
445C2×C4×Dic43C2312yes—
446C2×C4×Dic43C2314yes—
447C42×D43C2312yes—
448C42×D43C2312yes—
449C42×D43C2311yescharacteristic
450C42×D43C2311yescharacteristic
451C42×D43C2311yescharacteristic
452C42×D43C2311yescharacteristic
453C42×D43C2312yes—
454C42×D43C2312yes—
455C42×D43C2312yes—
456C42×D43C2312yes—
457C42×D43C2314yes—
458C42×D43C2314yes—
459C42×D43C2314yes—
460C2×#41×C43C2312yes—
461C2×#41×C43C2314yes—
462C23×C4×C43C2311yescharacteristic
463C23×C4×C43C2312yes—
464C4⋊Q8×C43C2311yescharacteristic
465C4⋊Q8×C43C2312yes—
466#127×C43C2311yescharacteristic
467#126×C43C2318yes—
468#125×C43C2314yes—
469#125×C43C2312yes—
470#124×C43C2314yes—
471#124×C43C2312yes—
472#123×C43C2318yes—
473#123×C43C2314yes—
474C22⋊Q8×C43C2314yes—
475C22⋊Q8×C43C2314yes—
476C22⋊Q8×C43C2314yes—
477#121×C43C2314yes—
478#121×C43C2314yes—
479#121×C43C2314yes—
480#120×C43C2314yes—
481C4×Q8×C43C2314yes—
482C4×Q8×C43C2314yes—
483C4×Q8×C43C2314yes—
484C4×D4×C43C2318yes—
485C4×D4×C43C2318yes—
486C4×D4×C43C2318yes—
487C4×D4×C43C2314yes—
488C4×D4×C43C2314yes—
489C4×D4×C43C2314yes—
490#117×C43C2318yes—
491#117×C43C2314yes—
492#117×C43C2312yes—
493#117×C43C2314yes—
494C2×C42×C43C2311yescharacteristic
495C2×C42×C43C2312yes—
496C2×C42×C43C2312yes—
497C2×C42×C43C2312yes—
498C2×C42×C43C2312yes—
499C2×C42×C43C2311yescharacteristic
500C2×C42×C43C2312yes—
501C2×C42×C43C2314yes—
502C24×C43C2411yescharacteristic
503C23×D43C2414yes—
504C23×D43C2411yescharacteristic
505C23×D43C2411yescharacteristic
506#41×C43—28no—
507#41×C43—48no—
508C2×Q8×C43C2412yes—
509C2×Q8×C43C2414yes—
510C2×D4×C43C2414yes—
511C2×D4×C43C2412yes—
512C2×D4×C43C2414yes—
513C2×D4×C43C2418yes—
514C22×C4×C43—24no—
515C22×C4×C43—44no—
516C22×C4×C43C2412yes—
517C22×C4×C43C2412yes—
518C22×C4×C43C2412yes—
519C22×C4×C43C2412yes—
520C22×C4×C43C2412yes—
521C22×C4×C43C2411yescharacteristic
522C22×C4×C43C2414yes—
523C22×C4×C43C2412yes—
524C22×C4×C43C2412yes—
525C22×C4×C43C2412yes—
526C22×C4×C43C2418yes—
527C22×C4×C43C2411yescharacteristic
528C2×C22⋊D43—24no—
529C2×C22⋊D43—24no—
530C2×C22⋊D43C2414yes—
531C2×C22⋊D43C2414yes—
532C2×C22⋊D43C2414yes—
533C2×C22⋊D43C2412yes—
534C2×C22⋊D43C2412yes—
535C2×C22⋊D43C2412yes—
536C2×C22⋊D43C2412yes—
537C2×C22⋊D43C2418yes—
538C2×C22⋊D43C2418yes—
539C2×C22⋊D43C2418yes—
540C22×Dic43C2411yescharacteristic
541C22×Dic43C2414yes—
542C22×Dic43C2412yes—
543C22×Dic43C2412yes—
544C22×Dic43C2418yes—
545C22×Dic43C2411yescharacteristic
546#10621902—28no—
547#10621902—48no—
548Q8×D43—28no—
549Q8×D43—48no—
550#10621900—216no—
551#10621900—28no—
552#10621900—48no—
553D4×D43—28no—
554D4×D43—216no—
555D4×D43—48no—
556#10621898—28no—
557#10621898—216no—
558#10621898—28no—
559#10621898—28no—
560#10621898—28no—
561#10621898—28no—
562#10621898—48no—
563C2×D172—24no—
564C2×D172C2414yes—
565C2×D172C2412yes—
566C2×D172C2414yes—
567C2×D172C2412yes—
568C2×D172C2412yes—
569C2×D172C2418yes—
570C2×C4×D43—24no—
571C2×C4×D43—216no—
572C2×C4×D43—44no—
573C2×C4×D43—44no—
574C2×C4×D43#4118yescomplemented
575C2×C4×D43C2412yes—
576C2×C4×D43C2412yes—
577C2×C4×D43C2412yes—
578C2×C4×D43C2414yes—
579C2×C4×D43C2412yes—
580C2×C4×D43C2412yes—
581C2×C4×D43C2412yes—
582C2×C4×D43C2414yes—
583C2×C4×D43C2414yes—
584C2×C4×D43C2412yes—
585C2×C4×D43C2412yes—
586C2×C4×D43C2412yes—
587C2×C4×D43C2412yes—
588C2×C4×D43C2418yes—
589C2×C4×D43C2418yes—
590C2×C4×D43C2418yes—
591C2×C4×D43C2411yescharacteristic
592C2×C4×D43C2411yescharacteristic
593C2×C4×D43C2411yescharacteristic
594C2×C4×D43C2411yescharacteristic
595C2×Dic86—24no—
596C2×Dic86C2412yes—
597C2×Dic86C2414yes—
598C2×Dic86C2414yes—
599C2×Dic86C2412yes—
600C2×Dic86C2412yes—
601C2×Dic86C2418yes—
602C4⋊C4×C43C2414yes—
603C4⋊C4×C43C2414yes—
604C4⋊C4×C43C2414yes—
605C4⋊C4×C43C2418yes—
606C4⋊C4×C43C2418yes—
607C4⋊C4×C43C2418yes—
608C22⋊C4×C43C2414yes—
609C22⋊C4×C43C2418yes—
610C22⋊C4×C43C2418yes—
611C22⋊C4×C43C2418yes—
612C22⋊C4×C43C2418yes—
613C42×C43C2411yescharacteristic
614C42×C43C2411yescharacteristic
615C42×C43C2412yes—
616C42×C43C2412yes—
617C42×C43C2412yes—
618C42×C43C2412yes—
619C42×C43C2411yescharacteristic
620C42×C43C2412yes—
621C42×C43C2412yes—
622C42×C43C2411yescharacteristic
623C42×C43C2414yes—
624C42×C43C2418yes—
625C22⋊Dic43C2414yes—
626C22⋊Dic43C2418yes—
627C22⋊Dic43C2418yes—
628C22⋊Dic43C2412yes—
629C22⋊Dic43C2412yes—
630C22⋊Dic43C2412yes—
631C22⋊Dic43C2412yes—
632C22⋊Dic43C2418yes—
633C22⋊Dic43C2418yes—
634(C2×D43)⋊C4C2412yes—
635(C2×D43)⋊C4C2418yes—
636(C2×D43)⋊C4C2418yes—
637(C2×D43)⋊C4C2418yes—
638(C2×D43)⋊C4C2412yes—
639(C2×D43)⋊C4C2412yes—
640(C2×D43)⋊C4C2418yes—
641(C2×D43)⋊C4C2412yes—
642(C2×D43)⋊C4C2412yes—
643(C2×D43)⋊C4C2412yes—
644(C2×D43)⋊C4C2418yes—
645(C2×D43)⋊C4C2412yes—
646(C2×D43)⋊C4C2412yes—
647(C2×D43)⋊C4C2418yes—
648(C2×D43)⋊C4C2418yes—
649(C2×D43)⋊C4C2418yes—
650(C2×D43)⋊C4C2418yes—
651C4⋊Dic43C2414yes—
652C4⋊Dic43C2414yes—
653C4⋊Dic43C2414yes—
654C4⋊Dic43C2418yes—
655C4⋊Dic43C2418yes—
656C4⋊Dic43C2412yes—
657C4⋊Dic43C2412yes—
658C4⋊Dic43C2412yes—
659C4⋊Dic43C2412yes—
660C4⋊Dic43C2418yes—
661Dic43⋊C4C2412yes—
662Dic43⋊C4C2418yes—
663Dic43⋊C4C2418yes—
664Dic43⋊C4C2418yes—
665Dic43⋊C4C2418yes—
666Dic43⋊C4C2418yes—
667Dic43⋊C4C2412yes—
668Dic43⋊C4C2412yes—
669Dic43⋊C4C2418yes—
670Dic43⋊C4C2412yes—
671Dic43⋊C4C2412yes—
672Dic43⋊C4C2412yes—
673Dic43⋊C4C2418yes—
674Dic43⋊C4C2412yes—
675Dic43⋊C4C2412yes—
676Dic43⋊C4C2418yes—
677Dic43⋊C4C2418yes—
678C4×Dic43C2411yescharacteristic
679C4×Dic43C2411yescharacteristic
680C4×Dic43C2412yes—
681C4×Dic43C2412yes—
682C4×Dic43C2414yes—
683C4×Dic43C2412yes—
684C4×Dic43C2411yescharacteristic
685C4×Dic43C2411yescharacteristic
686C4×Dic43C2412yes—
687C4×Dic43C2412yes—
688C4×Dic43C2412yes—
689C4×Dic43C2412yes—
690C4×Dic43C2412yes—
691C4×Dic43C2412yes—
692C4×Dic43C2412yes—
693C4×Dic43C2418yes—
694C4×Dic43C2418yes—
695C4×Dic43C2418yes—
696C4×Dic43C2418yes—
697C23×C43—22no—
698C23×C43—42no—
699C23×C43C2512yes—
700C23×C43C2514yes—
701C23×C43C2511yescharacteristic
702C22×D43—22no—
703C22×D43—28no—
704C22×D43—42no—
705C22×D43—42no—
706C22×D43—48no—
707C22×D43C2×#4114yes—
708C22×D43C2512yes—
709C22×D43C2514yes—
710C22×D43C2511yescharacteristic
711C22×D43C2511yescharacteristic
712Q8×C43—24no—
713Q8×C43—28no—
714D4×C43—28no—
715D4×C43—24no—
716D4×C43—28no—
717D4×C43—48no—
718C2×C4×C43—22no—
719C2×C4×C43—28no—
720C2×C4×C43—24no—
721C2×C4×C43—24no—
722C2×C4×C43—24no—
723C2×C4×C43—24no—
724C2×C4×C43—24no—
725C2×C4×C43—42no—
726C2×C4×C43—42no—
727C2×C4×C43—42no—
728C2×C4×C43—48no—
729C2×C4×C43C2×#4114yes—
730C2×C4×C43C2512yes—
731C2×C4×C43C2512yes—
732C2×C4×C43C2514yes—
733C2×C4×C43C2518yes—
734C2×C4×C43C2512yes—
735C2×C4×C43C2512yes—
736C2×C4×C43C2511yescharacteristic
737C2×C4×C43C2512yes—
738C2×C4×C43C2511yescharacteristic
739C22⋊D43—28no—
740C22⋊D43—24no—
741C22⋊D43—24no—
742C22⋊D43—28no—
743C22⋊D43—24no—
744C22⋊D43—24no—
745C22⋊D43—28no—
746C22⋊D43—48no—
747C22⋊D43—48no—
748C22⋊D43—48no—
749C2×Dic43—22no—
750C2×Dic43—28no—
751C2×Dic43—42no—
752C2×Dic43—42no—
753C2×Dic43—48no—
754C2×Dic43C2×#4114yes—
755C2×Dic43C2512yes—
756C2×Dic43C2512yes—
757C2×Dic43C2512yes—
758C2×Dic43C2512yes—
759C2×Dic43C2514yes—
760C2×Dic43C2518yes—
761C2×Dic43C2512yes—
762C2×Dic43C2511yescharacteristic
763C2×Dic43C2511yescharacteristic
764D172—24no—
765D172—24no—
766D172—28no—
767D172—24no—
768D172—28no—
769D172—48no—
770C4×D43—28no—
771C4×D43—24no—
772C4×D43—24no—
773C4×D43—28no—
774C4×D43—24no—
775C4×D43—24no—
776C4×D43—24no—
777C4×D43—24no—
778C4×D43—28no—
779C4×D43—42no—
780C4×D43—42no—
781C4×D43—42no—
782C4×D43—42no—
783C4×D43—48no—
784C4×D43—48no—
785C4×D43—48no—
786C4×D43C2×#4114yes—
787C4×D43C2×#4114yes—
788C4×D43C2×#4114yes—
789C4×D43C2×#4114yes—
790Dic86—24no—
791Dic86—28no—
792Dic86—24no—
793Dic86—24no—
794Dic86—28no—
795Dic86—48no—
796#62815—431nomaximal, Sylow
797C22×C43—22no—
798C22×C43—24no—
799C22×C43—22no—
800C22×C43—28no—
801C22×C43—22no—
802C22×C43—22no—
803C22×C43—44no—
804C22×C43C22×#4112yes—
805C22×C43C2611yescharacteristic
806C2×D43—22no—
807C2×D43—22no—
808C2×D43—22no—
809C2×D43—24no—
810C2×D43—22no—
811C2×D43—22no—
812C2×D43—28no—
813C2×D43—44no—
814C2×D43—44no—
815C2×D43—88no—
816C2×D43C22×#4112yes—
817C2×D43C22×#4112yes—
818C4×C43—22no—
819C4×C43—24no—
820C4×C43—28no—
821C4×C43—22no—
822C4×C43—22no—
823C4×C43—22no—
824C4×C43C22×#4112yes—
825C4×C43C22×#4112yes—
826C4×C43#58514yes—
827Dic43—24no—
828Dic43—22no—
829Dic43—28no—
830Dic43—22no—
831Dic43—22no—
832Dic43—22no—
833Dic43—22no—
834Dic43C22×#4112yes—
835Dic43C22×#4112yes—
836#3512—434no—
837#3511—432no—
838#3511—432no—
839#3510—434no—
840#3509—432no—
841#3508—432no—
842#3507—434no—
843#3506—434no—
844#3505—434no—
845#3505—434no—
846#3480—434no—
847#3480—434no—
848#3475—434no—
849#3475—434no—
850#3455—432no—
851#3455—432no—
852#3449—432no—
853#3444—431no—
854#3444—431no—
855#3444—431no—
856#3444D4311yescharacteristic, complemented
857C2×#533—431no—
858C2×#532—431no—
859#3428—432no—
860C2×C4×#41—431no—
861C2×C43—22no—
862C2×C43—44no—
863C2×C43—42no—
864C2×C43C23×#4111yescharacteristic
865C2×C43C2×#58512yes—
866D43—22no—
867D43—22no—
868D43—42no—
869D43—44no—
870C22×#41—432no—
871C22×#41—431no—
872#559—434no—
873#559—438no—
874#559—438no—
875#559—434no—
876#557—434no—
877#557—434no—
878#556—438no—
879#556—434no—
880#556—434no—
881#556—434no—
882#556—434no—
883#556—438no—
884#555—434no—
885#555—434no—
886#554—434no—
887#554—434no—
888#553—438no—
889#553—434no—
890#553—438no—
891#553—438no—
892#553—434no—
893#553—438no—
894#553—434no—
895#553—438no—
896#553—434no—
897#553—438no—
898#552—438no—
899#552—434no—
900#552—434no—
901#552—434no—
902#552—438no—
903#552—434no—
904#551—438no—
905#551—438no—
906#551—438no—
907#551—438no—
908#550—434no—
909#550—434no—
910#548—434no—
911#548—434no—
912#548—434no—
913#548—434no—
914#547—434no—
915#547—434no—
916#546—434no—
917#546—434no—
918#546—434no—
919#546—434no—
920#542—434no—
921#542—434no—
922#542—434no—
923#542—434no—
924#541—434no—
925#541—434no—
926#540—434no—
927#540—434no—
928#539—438no—
929#539—438no—
930#538—438no—
931#538—438no—
932#537—434no—
933#537—434no—
934#536—434no—
935#536—434no—
936#535—434no—
937#535—434no—
938#534—434no—
939#534—434no—
940#533—432no—
941#533—432no—
942#533—432no—
943#533—432no—
944#533—434no—
945#533—434no—
946#533—432no—
947#533—431no—
948#533—432no—
949#533C2×D4311yescharacteristic, complemented
950#533C2×D4312yescomplemented
951#532—432no—
952#532—431no—
953#532—432no—
954#532—431no—
955#532—432no—
956#532—432no—
957#532—434no—
958#532—434no—
959#532—438no—
960#532—431no—
961#532—432no—
962#532C2×D4311yescharacteristic
963#532C2×D4312yescomplemented
964C2×C4⋊Q8—431no—
965C2×C4⋊Q8—432no—
966C2×#127—431no—
967#529—434no—
968#529—434no—
969#529—434no—
970#529—434no—
971#529—434no—
972#529—434no—
973#529—438no—
974#529—438no—
975#529—438no—
976#529—434no—
977#529—434no—
978#529—434no—
979#529—438no—
980#529C2×D4314yescomplemented
981#529C2×D4314yescomplemented
982#529C2×D4314yescomplemented
983C2×#125—432no—
984C2×#124—432no—
985#525—432no—
986#525—432no—
987#525—434no—
988#525—434no—
989#525—434no—
990#525—438no—
991#525—432no—
992#525C2×D4312yescomplemented
993#525C2×D4314yescomplemented
994C2×C22⋊Q8—434no—
995C2×#121—434no—
996#520—434no—
997#520—438no—
998#520—434no—
999#519—434no—
1000#518—438no—
1001#518—434no—
1002C4×#41—432no—
1003C4×#41—434no—
1004C4×#41—434no—
1005C4×#41—432no—
1006C4×#41—434no—
1007C4×#41—432no—
1008C4×#41—432no—
1009C4×#41—432no—
1010C4×#41—432no—
1011C4×#41—432no—
1012C4×#41—432no—
1013C4×#41—432no—
1014C4×#41—432no—
1015C4×#41—432no—
1016C4×#41—434no—
1017C4×#41—434no—
1018C4×#41C2×D4312yescomplemented
1019C4×#41C2×D4314yescomplemented
1020C2×C4×Q8—434no—
1021C2×C4×Q8—432no—
1022C2×C4×D4—432no—
1023C2×C4×D4—432no—
1024C2×C4×D4—434no—
1025C2×C4×D4—432no—
1026C2×#117—431no—
1027C2×#117—432no—
1028C2×#117—434no—
1029C2×#117—431no—
1030C2×#117—431no—
1031C2×#117—434no—
1032C22×C42—431no—
1033C22×C42—431no—
1034C22×C42C2×D4311yescharacteristic, complemented
1035C43#6281511yescharacteristic, complemented, Sylow
1036C2×#41—432no—
1037C2×#41—434no—
1038C2×#41—434no—
1039C2×#41—432no—
1040C2×#41—434no—
1041C2×#41—432no—
1042C2×#41—432no—
1043C2×#41—434no—
1044C2×#41—432no—
1045C2×#41—432no—
1046C2×#41—432no—
1047C2×#41—434no—
1048C2×#41—868no—
1049C2×#41—8616no—
1050C2×#41C22×D4312yes—
1051C2×#41C22×D4314yes—
1052C22×Q8—432no—
1053C22×Q8—434no—
1054C22×Q8—431no—
1055C22×D4—431no—
1056C22×D4—431no—
1057C22×D4—434no—
1058C22×D4—432no—
1059C22×D4—434no—
1060C22×D4—431no—
1061C23×C4—431no—
1062C23×C4—434no—
1063C23×C4—431no—
1064C23×C4—432no—
1065C23×C4—432no—
1066C23×C4C22×D4311yescharacteristic
1067C23×C4C22×D4312yes—
1068C4⋊Q8—432no—
1069C4⋊Q8—434no—
1070C4⋊Q8—434no—
1071C4⋊Q8—434no—
1072C4⋊Q8—434no—
1073C4⋊Q8—438no—
1074C4⋊Q8—431no—
1075C4⋊Q8—432no—
1076C4⋊Q8C22×D4311yescharacteristic
1077C4⋊Q8C22×D4312yes—
1078#127—432no—
1079#127—434no—
1080#127—438no—
1081#127—431no—
1082#127C22×D4311yescharacteristic
1083#126—438no—
1084#126—438no—
1085#126—438no—
1086#126—438no—
1087#126—438no—
1088#126—438no—
1089#126—438no—
1090#126—438no—
1091#126—438no—
1092#126—438no—
1093#126—438no—
1094#126C22×D4318yes—
1095#125—434no—
1096#125—438no—
1097#125—434no—
1098#125—434no—
1099#125—438no—
1100#125—438no—
1101#125—438no—
1102#125—432no—
1103#125—434no—
1104#125—438no—
1105#125C22×D4312yes—
1106#125C22×D4314yes—
1107#124—432no—
1108#124—434no—
1109#124—432no—
1110#124—434no—
1111#124—438no—
1112#124—438no—
1113#124—438no—
1114#124—438no—
1115#124—438no—
1116#124—438no—
1117#124—432no—
1118#124—434no—
1119#124—438no—
1120#124C22×D4312yes—
1121#124C22×D4314yes—
1122#123—434no—
1123#123—438no—
1124#123—434no—
1125#123—438no—
1126#123—438no—
1127#123—438no—
1128#123—438no—
1129#123—438no—
1130#123—438no—
1131#123—434no—
1132#123—438no—
1133#123—438no—
1134#123—438no—
1135#123—438no—
1136#123—438no—
1137#123—438no—
1138#123C22×D4314yes—
1139#123C22×D4318yes—
1140C22⋊Q8—434no—
1141C22⋊Q8—434no—
1142C22⋊Q8—434no—
1143C22⋊Q8—434no—
1144C22⋊Q8—434no—
1145C22⋊Q8—434no—
1146C22⋊Q8—438no—
1147C22⋊Q8—434no—
1148C22⋊Q8—438no—
1149C22⋊Q8—434no—
1150C22⋊Q8—434no—
1151C22⋊Q8—438no—
1152C22⋊Q8—438no—
1153C22⋊Q8—438no—
1154C22⋊Q8—438no—
1155C22⋊Q8—438no—
1156C22⋊Q8—438no—
1157C22⋊Q8C22×D4314yes—
1158C22⋊Q8C22×D4314yes—
1159C22⋊Q8C22×D4314yes—
1160#121—438no—
1161#121—434no—
1162#121—434no—
1163#121—434no—
1164#121—438no—
1165#121—438no—
1166#121—438no—
1167#121—438no—
1168#121—434no—
1169#121—434no—
1170#121—434no—
1171#121—438no—
1172#121—434no—
1173#121—434no—
1174#121—434no—
1175#121—438no—
1176#121—438no—
1177#121—438no—
1178#121—438no—
1179#121—438no—
1180#121—438no—
1181#121C22×D4314yes—
1182#121C22×D4314yes—
1183#121C22×D4314yes—
1184#120—434no—
1185#120—434no—
1186#120—438no—
1187#120—434no—
1188#120—438no—
1189#120C22×D4314yes—
1190C4×Q8—434no—
1191C4×Q8—434no—
1192C4×Q8—434no—
1193C4×Q8—434no—
1194C4×Q8—438no—
1195C4×Q8—434no—
1196C4×Q8—438no—
1197C4×Q8—434no—
1198C4×Q8—434no—
1199C4×Q8—432no—
1200C4×Q8—432no—
1201C4×Q8—432no—
1202C4×Q8—432no—
1203C4×Q8—432no—
1204C4×Q8—432no—
1205C4×Q8—432no—
1206C4×Q8—432no—
1207C4×Q8—438no—
1208C4×Q8—434no—
1209C4×Q8—438no—
1210C4×Q8—434no—
1211C4×Q8C22×D4314yes—
1212C4×Q8C22×D4314yes—
1213C4×Q8C22×D4314yes—
1214C4×D4—434no—
1215C4×D4—438no—
1216C4×D4—434no—
1217C4×D4—434no—
1218C4×D4—432no—
1219C4×D4—432no—
1220C4×D4—432no—
1221C4×D4—432no—
1222C4×D4—432no—
1223C4×D4—432no—
1224C4×D4—432no—
1225C4×D4—432no—
1226C4×D4—432no—
1227C4×D4—432no—
1228C4×D4—432no—
1229C4×D4—432no—
1230C4×D4—432no—
1231C4×D4—432no—
1232C4×D4—432no—
1233C4×D4—432no—
1234C4×D4—438no—
1235C4×D4—438no—
1236C4×D4—438no—
1237C4×D4—438no—
1238C4×D4—438no—
1239C4×D4—438no—
1240C4×D4—438no—
1241C4×D4—434no—
1242C4×D4—434no—
1243C4×D4—438no—
1244C4×D4—438no—
1245C4×D4—434no—
1246C4×D4—438no—
1247C4×D4—438no—
1248C4×D4—438no—
1249C4×D4—438no—
1250C4×D4—438no—
1251C4×D4—434no—
1252C4×D4—432no—
1253C4×D4—432no—
1254C4×D4—432no—
1255C4×D4—432no—
1256C4×D4—432no—
1257C4×D4—432no—
1258C4×D4—432no—
1259C4×D4—432no—
1260C4×D4—434no—
1261C4×D4—438no—
1262C4×D4—438no—
1263C4×D4—434no—
1264C4×D4C22×D4314yes—
1265C4×D4C22×D4318yes—
1266C4×D4C22×D4314yes—
1267C4×D4C22×D4318yes—
1268C4×D4C22×D4318yes—
1269C4×D4C22×D4314yes—
1270#117—432no—
1271#117—432no—
1272#117—432no—
1273#117—434no—
1274#117—432no—
1275#117—432no—
1276#117—434no—
1277#117—434no—
1278#117—438no—
1279#117—434no—
1280#117—434no—
1281#117—438no—
1282#117—434no—
1283#117—438no—
1284#117—438no—
1285#117—431no—
1286#117—431no—
1287#117—434no—
1288#117—431no—
1289#117—431no—
1290#117—432no—
1291#117—432no—
1292#117—434no—
1293#117—432no—
1294#117—432no—
1295#117—434no—
1296#117—432no—
1297#117—432no—
1298#117—438no—
1299#117—438no—
1300#117—438no—
1301#117C22×D4312yes—
1302#117C22×D4314yes—
1303#117C22×D4314yes—
1304#117C22×D4318yes—
1305C2×C4⋊C4—432no—
1306C2×C4⋊C4—432no—
1307C2×C4⋊C4—432no—
1308C2×C4⋊C4—438no—
1309C2×C4⋊C4—434no—
1310C2×C4⋊C4—438no—
1311C2×C4⋊C4—434no—
1312C2×C4⋊C4—438no—
1313C2×C4⋊C4—434no—
1314C2×C22⋊C4—432no—
1315C2×C22⋊C4—432no—
1316C2×C22⋊C4—432no—
1317C2×C22⋊C4—438no—
1318C2×C22⋊C4—434no—
1319C2×C22⋊C4—438no—
1320C2×C22⋊C4—438no—
1321C2×C42—431no—
1322C2×C42—431no—
1323C2×C42—434no—
1324C2×C42—432no—
1325C2×C42—432no—
1326C2×C42—434no—
1327C2×C42—434no—
1328C2×C42—434no—
1329C2×C42—432no—
1330C2×C42—432no—
1331C2×C42—432no—
1332C2×C42—432no—
1333C2×C42—431no—
1334C2×C42—431no—
1335C2×C42—432no—
1336C2×C42—431no—
1337C2×C42—431no—
1338C2×C42—432no—
1339C2×C42C22×D4311yescharacteristic
1340C2×C42C22×D4314yes—
1341C2×C42C22×D4312yes—
1342C2×C42C22×D4312yes—
1343C2×C42C22×D4312yes—
1344C2×C42C22×D4312yes—
1345C2×C42C22×D4312yes—
1346C2×C42C22×D4311yescharacteristic
1347C24—431no—
1348C24—434no—
1349C24—431no—
1350C24C23×D4311yescharacteristic
1351#41—28no—
1352#41—48no—
1353#41—868no—
1354#41—868no—
1355#41—868no—
1356#41—868no—
1357#41—8616no—
1358#41—8616no—
1359#41—868no—
1360#41—868no—
1361#41—868no—
1362#41—1728no—
1363#41—1728no—
1364#41—1728no—
1365C2×Q8—432no—
1366C2×Q8—432no—
1367C2×Q8—434no—
1368C2×Q8—434no—
1369C2×Q8—432no—
1370C2×Q8—438no—
1371C2×Q8—864no—
1372C2×Q8—868no—
1373C2×Q8—1728no—
1374C2×Q8C23×D4312yes—
1375C2×Q8C23×D4314yes—
1376C2×D4—432no—
1377C2×D4—434no—
1378C2×D4—432no—
1379C2×D4—432no—
1380C2×D4—434no—
1381C2×D4—432no—
1382C2×D4—434no—
1383C2×D4—438no—
1384C2×D4—438no—
1385C2×D4—438no—
1386C2×D4—432no—
1387C2×D4—434no—
1388C2×D4—432no—
1389C2×D4—432no—
1390C2×D4—434no—
1391C2×D4—438no—
1392C2×D4—864no—
1393C2×D4—868no—
1394C2×D4—864no—
1395C2×D4—8616no—
1396C2×D4—864no—
1397C2×D4—1728no—
1398C2×D4C23×D4314yes—
1399C2×D4C23×D4312yes—
1400C2×D4C23×D4314yes—
1401C2×D4C23×D4318yes—
1402C22×C4—24no—
1403C22×C4—44no—
1404C22×C4—431no—
1405C22×C4—438no—
1406C22×C4—431no—
1407C22×C4—431no—
1408C22×C4—431no—
1409C22×C4—431no—
1410C22×C4—431no—
1411C22×C4—434no—
1412C22×C4—432no—
1413C22×C4—432no—
1414C22×C4—438no—
1415C22×C4—432no—
1416C22×C4—432no—
1417C22×C4—432no—
1418C22×C4—432no—
1419C22×C4—432no—
1420C22×C4—434no—
1421C22×C4—434no—
1422C22×C4—434no—
1423C22×C4—432no—
1424C22×C4—432no—
1425C22×C4—432no—
1426C22×C4—432no—
1427C22×C4—432no—
1428C22×C4—438no—
1429C22×C4—438no—
1430C22×C4—438no—
1431C22×C4—8616no—
1432C22×C4—864no—
1433C22×C4—1724no—
1434C22×C4—1724no—
1435C22×C4C23×D4312yes—
1436C22×C4C23×D4311yescharacteristic
1437C22×C4C23×D4312yes—
1438C22×C4C23×D4312yes—
1439C22×C4C23×D4312yes—
1440C22×C4C23×D4314yes—
1441C22×C4C23×D4312yes—
1442C22×C4C23×D4312yes—
1443C22×C4C23×D4312yes—
1444C22×C4C23×D4312yes—
1445C22×C4C23×D4318yes—
1446C22×C4C23×D4311yescharacteristic
1447C4⋊C4—432no—
1448C4⋊C4—432no—
1449C4⋊C4—438no—
1450C4⋊C4—432no—
1451C4⋊C4—432no—
1452C4⋊C4—434no—
1453C4⋊C4—434no—
1454C4⋊C4—434no—
1455C4⋊C4—432no—
1456C4⋊C4—432no—
1457C4⋊C4—432no—
1458C4⋊C4—432no—
1459C4⋊C4—438no—
1460C4⋊C4—438no—
1461C4⋊C4—438no—
1462C4⋊C4—438no—
1463C4⋊C4—432no—
1464C4⋊C4—432no—
1465C4⋊C4—432no—
1466C4⋊C4—432no—
1467C4⋊C4—438no—
1468C4⋊C4—438no—
1469C4⋊C4—438no—
1470C4⋊C4—438no—
1471C4⋊C4—438no—
1472C4⋊C4—438no—
1473C4⋊C4—438no—
1474C4⋊C4C23×D4314yes—
1475C4⋊C4C23×D4314yes—
1476C4⋊C4C23×D4314yes—
1477C4⋊C4C23×D4318yes—
1478C4⋊C4C23×D4318yes—
1479C4⋊C4C23×D4318yes—
1480C22⋊C4—434no—
1481C22⋊C4—432no—
1482C22⋊C4—432no—
1483C22⋊C4—438no—
1484C22⋊C4—432no—
1485C22⋊C4—432no—
1486C22⋊C4—438no—
1487C22⋊C4—438no—
1488C22⋊C4—438no—
1489C22⋊C4—432no—
1490C22⋊C4—432no—
1491C22⋊C4—438no—
1492C22⋊C4—432no—
1493C22⋊C4—432no—
1494C22⋊C4—432no—
1495C22⋊C4—432no—
1496C22⋊C4—438no—
1497C22⋊C4—438no—
1498C22⋊C4—438no—
1499C22⋊C4—432no—
1500C22⋊C4—432no—
1501C22⋊C4—438no—
1502C22⋊C4—438no—
1503C22⋊C4—438no—
1504C22⋊C4—438no—
1505C22⋊C4—438no—
1506C22⋊C4C23×D4314yes—
1507C22⋊C4C23×D4318yes—
1508C22⋊C4C23×D4318yes—
1509C22⋊C4C23×D4318yes—
1510C22⋊C4C23×D4318yes—
1511C42—432no—
1512C42—432no—
1513C42—432no—
1514C42—431no—
1515C42—431no—
1516C42—432no—
1517C42—432no—
1518C42—432no—
1519C42—432no—
1520C42—432no—
1521C42—432no—
1522C42—438no—
1523C42—438no—
1524C42—438no—
1525C42—438no—
1526C42—431no—
1527C42—431no—
1528C42—432no—
1529C42—434no—
1530C42C23×D4311yescharacteristic
1531C42C23×D4311yescharacteristic
1532C42C23×D4312yes—
1533C42C23×D4312yes—
1534C42C23×D4312yes—
1535C42C23×D4312yes—
1536C42C23×D4312yes—
1537C42C23×D4318yes—
1538C42C23×D4311yescharacteristic
1539C42C23×D4312yes—
1540C42C23×D4314yes—
1541C42C23×D4311yescharacteristic
1542C23—22no—
1543C23—42no—
1544C23—431no—
1545C23—431no—
1546C23—434no—
1547C23—432no—
1548C23—434no—
1549C23—868no—
1550C23—862no—
1551C23—1728no—
1552C23—1722no—
1553C23—1722no—
1554C23C24×D4312yes—
1555C23C24×D4314yes—
1556C23C24×D4311yescharacteristic
1557Q8—24no—
1558Q8—28no—
1559Q8—864no—
1560Q8—864no—
1561Q8—868no—
1562Q8—864no—
1563Q8—868no—
1564Q8—1728no—
1565D4—28no—
1566D4—24no—
1567D4—28no—
1568D4—48no—
1569D4—864no—
1570D4—864no—
1571D4—868no—
1572D4—864no—
1573D4—864no—
1574D4—868no—
1575D4—864no—
1576D4—864no—
1577D4—868no—
1578D4—868no—
1579D4—864no—
1580D4—868no—
1581D4—1728no—
1582D4—1728no—
1583D4—1728no—
1584D4—1728no—
1585C2×C4—22no—
1586C2×C4—24no—
1587C2×C4—24no—
1588C2×C4—28no—
1589C2×C4—24no—
1590C2×C4—24no—
1591C2×C4—24no—
1592C2×C4—42no—
1593C2×C4—42no—
1594C2×C4—42no—
1595C2×C4—48no—
1596C2×C4—434no—
1597C2×C4—431no—
1598C2×C4—431no—
1599C2×C4—434no—
1600C2×C4—434no—
1601C2×C4—434no—
1602C2×C4—434no—
1603C2×C4—432no—
1604C2×C4—432no—
1605C2×C4—432no—
1606C2×C4—432no—
1607C2×C4—434no—
1608C2×C4—438no—
1609C2×C4—432no—
1610C2×C4—868no—
1611C2×C4—868no—
1612C2×C4—868no—
1613C2×C4—862no—
1614C2×C4—868no—
1615C2×C4—864no—
1616C2×C4—864no—
1617C2×C4—864no—
1618C2×C4—864no—
1619C2×C4—864no—
1620C2×C4—864no—
1621C2×C4—1722no—
1622C2×C4—1722no—
1623C2×C4—1722no—
1624C2×C4—1722no—
1625C2×C4—1728no—
1626C2×C4—1728no—
1627C2×C4—1728no—
1628C2×C4—1722no—
1629C2×C4—1722no—
1630C2×C4—1728no—
1631C2×C4#41×D4314yes—
1632C2×C4C24×D4312yes—
1633C2×C4C24×D4312yes—
1634C2×C4C24×D4314yes—
1635C2×C4C24×D4318yes—
1636C2×C4C24×D4312yes—
1637C2×C4C24×D4312yes—
1638C2×C4C24×D4311yescharacteristic
1639C2×C4C24×D4312yes—
1640C2×C4C24×D4311yescharacteristic
1641C22—22no—
1642C22—22no—
1643C22—24no—
1644C22—22no—
1645C22—22no—
1646C22—28no—
1647C22—44no—
1648C22—432no—
1649C22—432no—
1650C22—862no—
1651C22—862no—
1652C22—864no—
1653C22—862no—
1654C22—862no—
1655C22—862no—
1656C22—868no—
1657C22—3448no—
1658C22—1724no—
1659C22—1724no—
1660C22C2×#41×D4312yes—
1661C22C25×D4311yescharacteristic
1662C4—22no—
1663C4—24no—
1664C4—22no—
1665C4—22no—
1666C4—22no—
1667C4—28no—
1668C4—432no—
1669C4—432no—
1670C4—864no—
1671C4—862no—
1672C4—862no—
1673C4—862no—
1674C4—862no—
1675C4—862no—
1676C4—868no—
1677C4C2×#41×D4312yes—
1678C4C2×#41×D4312yes—
1679C4#1458373514yes—
1680C2—22no—
1681C2—42no—
1682C2—44no—
1683C2—862no—
1684C2—862no—
1685C2—1724no—
1686C2—1722no—
1687C2C22×#41×D4311yescharacteristic
1688C2C2×#1458373512yes—
subgroupG/H
centerC2×C4C24×D43
commutator, socle, cosocleC22×C43C26
FrattiniC22C25×D43
FittingC43×#3444C2
hypercenter#3444D43
hypocenterC43#62815
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C2×C4 ◁ #3444

Complements

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

NH ≅ G/Ntype
1. #19148510C2semidirect
2. #19148507C2semidirect
3. #19148496C2semidirect
4. #19148484C2semidirect
5. #19148474C2semidirect
6. #19148464C2semidirect
7. #19148451C2semidirect
8. #19148438C2semidirect
9. #19148430C2semidirect
10. #19148423C2semidirect
11. #19148193C2semidirect
12. #19148186C2semidirect
13. #19148157C2semidirect
14. #19148151C2semidirect
15. #19147983C2semidirect
16. #19147980C2semidirect
17. #19147925C2semidirect
18. #19147892C2semidirect
19. #19147891C2semidirect
20. #19147890C2semidirect
21. #533×D43C2semidirect
22. #532×D43C2semidirect
23. #19147794C2semidirect
24. C2×C4×#10621898C2semidirect
25. C43×#3444C2semidirect
28. #14583633C22semidirect
29. #14583632C22semidirect
30. #14583632C22semidirect
31. #14583631C22semidirect
32. #14583626C22semidirect
33. #14583625C22semidirect
34. #14583621C22semidirect
35. #14583620C22semidirect
36. #14583618C22semidirect
37. #14583617C22semidirect
38. #14583617C22semidirect
39. #14583616C22semidirect
40. #14583613C22semidirect
41. #14583612C22semidirect
42. #14583608C22semidirect
43. #14583605C22semidirect
44. #14583602C22semidirect
45. #14583600C22semidirect
46. #14583599C22semidirect
47. #14583599C22semidirect
48. #14583598C22semidirect
49. #14583596C22semidirect
50. #14583594C22semidirect
51. #14583594C22semidirect
52. #14583593C22semidirect
53. #14583593C22semidirect
54. #14583590C22semidirect
55. #14583588C22semidirect
56. #14583587C22semidirect
57. #14583585C22semidirect
58. #14583583C22semidirect
59. #14583582C22semidirect
60. #14583578C22semidirect
61. #14583577C22semidirect
62. #14583574C22semidirect
63. #14583573C22semidirect
64. #14583568C22semidirect
65. #14583567C22semidirect
66. #14583561C22semidirect
67. #14583559C22semidirect
68. #14583557C22semidirect
69. #14583556C22semidirect
70. #14583551C22semidirect
71. #14583548C22semidirect
72. #14583546C22semidirect
73. #14583544C22semidirect
74. #14583542C22semidirect
75. #14583537C22semidirect
76. #14583522C22semidirect
77. #14583521C22semidirect
78. #14583516C22semidirect
79. #14583514C22semidirect
80. #14583509C22semidirect
81. #14583507C22semidirect
82. #14583502C22semidirect
83. #14583500C22semidirect
84. #14583493C22semidirect
85. #14583491C22semidirect
86. #14583484C22semidirect
87. #14583482C22semidirect
88. #14583479C22semidirect
89. #14583478C22semidirect
91. #14583471C22semidirect
93. #14583464C22semidirect
96. #14583456C22semidirect
97. #14583456C22semidirect
98. #14583455C22semidirect
99. #14583454C22semidirect
100. #14583454C22semidirect
101. #14583454C22semidirect
102. #14583453C22semidirect
103. #14583452C22semidirect
104. #14583451C22semidirect
105. #14583450C22semidirect
106. #14583450C22semidirect
108. #14583449C22semidirect
109. #14583448C22semidirect
110. #14583447C22semidirect
111. #14583447C22semidirect
112. #14583446C22semidirect
113. #14583446C22semidirect
116. C4⋊Q8×D43C22semidirect
117. C4⋊Q8×D43C22semidirect
118. #127×D43C22semidirect
119. #14583436C22semidirect
120. #14583435C22semidirect
121. #14583434C22semidirect
122. #14583433C22semidirect
123. #14583433C22semidirect
124. #14583433C22semidirect
125. #14583433C22semidirect
126. #14583431C22semidirect
127. #14583431C22semidirect
128. #14583430C22semidirect
129. #14583429C22semidirect
130. #14583428C22semidirect
131. #14583427C22semidirect
132. #125×D43C22semidirect
133. #124×D43C22semidirect
134. #14583412C22semidirect
135. #14583411C22semidirect
136. #14583410C22semidirect
137. #14583410C22semidirect
138. #14583409C22semidirect
140. #14583406C22semidirect
143. #14583381C22semidirect
144. #14583378C22semidirect
145. #14583378C22semidirect
146. #14583375C22semidirect
148. #14583371C22semidirect
149. #41×Dic43C22semidirect
150. C4×#10621902C22semidirect
155. C4×#10621898C22semidirect
156. C4×#10621898C22semidirect
157. C4×#10621898C22semidirect
158. C4×#10621898C22semidirect
159. C4×#10621898C22semidirect
160. C4×#10621898C22semidirect
161. C4×#10621898C22semidirect
162. #14583367C22semidirect
163. #14583367C22semidirect
164. C4×#10621900C22semidirect
165. C2×C4×Dic86C22semidirect
166. C4×Q8×D43C22semidirect
169. C2×C4×C22⋊D43C22semidirect
170. C4×D4×D43C22semidirect
171. C2×#13063284C22semidirect
173. C2×#13063282C22semidirect
174. C2×#13063282C22semidirect
176. #117×D43C22semidirect
178. C2×C42×D43C22semidirect
179. C43×#533C22semidirect
180. C43×#533C22semidirect
182. C43×#532C22semidirect
183. C43×#529C22semidirect
184. C43×#529C22semidirect
185. C43×#529C22semidirect
186. C43×#525C22semidirect
187. C43×#525C22semidirect
188. C4×#41×C43C22semidirect
189. C4×#41×C43C22semidirect
190. C22×C42×C43C22semidirect
574. C2×C4×D43#41semidirect
856. #3444D43semidirect
949. #533C2×D43semidirect
950. #533C2×D43semidirect
963. #532C2×D43semidirect
980. #529C2×D43semidirect
981. #529C2×D43semidirect
982. #529C2×D43semidirect
992. #525C2×D43semidirect
993. #525C2×D43semidirect
1018. C4×#41C2×D43semidirect
1019. C4×#41C2×D43semidirect
1034. C22×C42C2×D43semidirect
1035. C43#62815semidirect

Maximal subgroups

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

subgroupindex
#191485102
#191485072
#191484962
#191484842
#191484742
#191484642
#191484512
#191484382
#191484302
#191484232
#191481932
#191481862
#191481572
#191481512
#191479832
#191479802
#191479252
#191478922
#191478912
#191478902
#533×D432
#532×D432
#191477942
C2×C4×#106218982
C43×#34442
#6281543