Finite Group Databasebeta

← #26005182

Subgroups — #26005182

Order 11008.

7210 conjugacy classes of subgroups.

The subgroup lattice has 1670 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148510C214yesmaximal, complemented
2#19148500C214yesmaximal, complemented
3#19148493C211yesmaximal, characteristic, complemented
4#19148491C211yesmaximal, characteristic, complemented
5#19148489C211yesmaximal, characteristic, complemented
6#19148480C211yesmaximal, characteristic, complemented
7#19148476C211yesmaximal, characteristic, complemented
8#19148470C211yesmaximal, characteristic, complemented
9#19148466C211yesmaximal, characteristic, complemented
10#19148456C214yesmaximal, complemented
11#19148443C214yesmaximal, complemented
12#19148426C218yesmaximal, complemented
13#19148191C214yesmaximal, complemented
14#19148187C214yesmaximal, complemented
15#19148150C218yesmaximal, complemented
16#19147982C214yesmaximal, complemented
17#19147927C211yesmaximal, characteristic, complemented
18#19147926C211yesmaximal, characteristic, complemented
19#19147889C214yesmaximal, complemented
20#533×D43C211yesmaximal, characteristic, complemented
21C2×#14583448C211yesmaximal, characteristic, complemented
22#19147797C211yesmaximal, characteristic, complemented
23#19147793C211yesmaximal, characteristic, complemented
24C4×#41×D43C211yesmaximal, characteristic, complemented
25C43×#3510C211yesmaximal, characteristic, complemented
26C22×#10621902C2211yescharacteristic
27C22×#10621900C2211yescharacteristic
28C2×#41×D43C2211yescharacteristic
29#14583634C2214yescomplemented
30#14583632C2214yescomplemented
31#14583632C2214yescomplemented
32#14583631C2214yescomplemented
33#14583631C2214yescomplemented
34#14583627C2214yescomplemented
35#14583624C2214yescomplemented
36#14583622C2214yescomplemented
37#14583621C2214yescomplemented
38#14583621C2214yescomplemented
39#14583618C2214yescomplemented
40#14583618C2214yescomplemented
41#14583616C2218yescomplemented
42#14583611C2218yescomplemented
43#14583603C2218yescomplemented
44#14583600C2218yescomplemented
45#14583600C2218yescomplemented
46#14583599C2218yescomplemented
47#14583598C2218yescomplemented
48#14583594C2218yescomplemented
49#14583594C2218yescomplemented
50#14583594C2218yescomplemented
51#14583593C2218yescomplemented
52#14583586C2218yescomplemented
53#14583585C2218yescomplemented
54#14583582C2218yescomplemented
55#14583582C2218yescomplemented
56#14583578C2218yescomplemented
57#14583576C2218yescomplemented
58#14583575C2218yescomplemented
59#14583570C2214yescomplemented
60#14583569C2214yescomplemented
61#14583559C2218yescomplemented
62#14583557C2218yescomplemented
63#14583547C2218yescomplemented
64#14583539C2218yescomplemented
65#14583536C2218yescomplemented
66#14583523C2214yescomplemented
67#14583520C2214yescomplemented
68#14583518C2214yescomplemented
69#14583509C2214yescomplemented
70#14583507C2214yescomplemented
71#14583502C2214yescomplemented
72#14583500C2214yescomplemented
73#14583495C2218yescomplemented
74#14583490C2218yescomplemented
75#14583485C2218yescomplemented
76#14583483C2218yescomplemented
77#14583479C2214yescomplemented
78#14583478C2214yescomplemented
79#14583475C2211yescharacteristic
80#14583474C2212yescomplemented
81#14583473C2211yescharacteristic
82#14583470C2211yescharacteristic
83#14583469C2212yescomplemented
84#14583468C2211yescharacteristic
85#14583467C2212yescomplemented
86#14583466C2211yescharacteristic
87#14583463C2211yescharacteristic
88#14583462C2212yescomplemented
89#14583460C2214yes—
90#14583459C2214yes—
91#14583456C2211yescharacteristic, complemented
92#14583455C2212yescomplemented
93#14583454C2212yescomplemented
94#14583453C2214yescomplemented
95#14583453C2214yescomplemented
96#14583452C2211yescharacteristic, complemented
97#14583452C2211yescharacteristic, complemented
98#14583451C2214yescomplemented
99#14583451C2214yescomplemented
100#14583450C2212yescomplemented
101#14583448C2212yes—
102#14583448C2214yes—
103#14583448C2212yes—
104#14583448C2214yescomplemented
105#14583448C2212yescomplemented
106#14583448C2212yescomplemented
107#14583448C2212yescomplemented
108#14583448C2212yescomplemented
109#14583447C2212yescomplemented
110#14583446C2214yescomplemented
111#14583444C2214yescomplemented
112C2×#13063323C2211yescharacteristic, complemented
113C4⋊Q8×D43C2212yescomplemented
114C2×#13063321C2211yescharacteristic, complemented
115#14583435C2218yescomplemented
116#14583434C2214yescomplemented
117#14583433C2214yescomplemented
118#14583432C2218yescomplemented
119#14583432C2218yescomplemented
120#14583432C2218yescomplemented
121#14583428C2214yescomplemented
122#14583428C2218yescomplemented
123#14583427C2218yescomplemented
124#14583426C2218yescomplemented
125#14583426C2218yescomplemented
126#125×D43C2212yescomplemented
127C2×#13063313C2211yescharacteristic, complemented
128#14583412C2214yescomplemented
129#14583409C2214yescomplemented
130#14583408C2218yescomplemented
131#14583407C2214yes—
132#14583407C2218yescomplemented
133#14583405C2214yes—
134C22⋊Q8×D43C2214yes—
135C2×#13063298C2214yes—
136#14583381C2214yescomplemented
137#14583381C2214yescomplemented
138#14583378C2214yescomplemented
139#14583378C2214yescomplemented
140#14583377C2211yescharacteristic, complemented
141#14583376C2211yescharacteristic, complemented
142#14583376C2211yescharacteristic, complemented
143#14583374C2211yescharacteristic, complemented
144#14583373C2214yes—
145#14583373C2211yescharacteristic, complemented
146#14583373C2211yescharacteristic, complemented
147#14583372C2214yes—
148#41×Dic43C2211yescharacteristic
149C4×#10621902C2214yescomplemented
150C4×#10621902C2214yescomplemented
151C4×#10621902C2212yescomplemented
152C4×#10621898C2211yescharacteristic
153C4×#10621898C2212yescomplemented
154#14583367C2211yescharacteristic
155#14583367C2218yescomplemented
156#14583367C2212yescomplemented
157C4×#10621900C2214yes—
158C4×#10621900C2214yescomplemented
159C4×#10621900C2214yescomplemented
160C4×#10621900C2218yescomplemented
161C4×#10621900C2212yescomplemented
162C4×Q8×D43C2214yescomplemented
163C4×Q8×D43C2212yescomplemented
164C2×(C22⋊D43)⋊C4C2214yescomplemented
165C4×D4×D43C2214yes—
166C4×D4×D43C2212yescomplemented
167C2×#13063281C2214yescomplemented
168#117×D43C2211yescharacteristic
169#117×D43C2211yescharacteristic
170#117×D43C2211yescharacteristic
171#117×D43C2214yescomplemented
172#117×D43C2212yescomplemented
173C2×C42×D43C2211yescharacteristic
174C2×C42×D43C2212yescomplemented
175C43×#559C2214yescomplemented
176C43×#556C2214yescomplemented
177C43×#551C2218yescomplemented
178C43×#542C2214yescomplemented
179C43×#536C2211yescharacteristic
180C43×#535C2211yescharacteristic
181C43×#533C2211yescharacteristic, complemented
182C43×#529C2214yescomplemented
183C2×#124×C43C2211yescharacteristic, complemented
184C43×#519C2211yescharacteristic, complemented
185C43×#518C2211yescharacteristic, complemented
186C4×#41×C43C2211yescharacteristic
187C2×#10621902—28no—
188C2×#10621902C2312yes—
189C2×#10621902C2312yes—
190C2×#10621902C2311yescharacteristic
191C2×#10621902C2312yes—
192C2×#10621902C2312yes—
193C2×#10621898C2311yescharacteristic
194C2×#10621898C2312yes—
195C2×#10621898C2318yes—
196C2×#10621900—28no—
197C2×#10621900C2312yes—
198C2×#10621900C2312yes—
199C2×#10621900C2311yescharacteristic
200C2×#10621900C2312yes—
201C2×#10621900C2312yes—
202C2×#10621900C2312yes—
203C2×#10621900C2318yes—
204#41×D43—28no—
205C22×Dic86C2311yescharacteristic
206C2×Q8×D43C2311yescharacteristic
207C2×Q8×D43C2314yes—
208C22×D172C2312yes—
209C22×D172C2311yescharacteristic
210C22×C22⋊D43C2312yes—
211C22×C22⋊D43C2314yes—
212C2×D4×D43C2312yes—
213C2×D4×D43C2311yescharacteristic
214C23×Dic43C2312yes—
215C22×C4×D43C2312yes—
216C22×C4×D43C2312yes—
217C22×C4×D43C2312yes—
218C22×C4×D43C2314yes—
219C22×C4×D43C2311yescharacteristic
220#13063325C2312yes—
221#13063325C2312yes—
222#13063324C2314yes—
223#13063324C2312yes—
224#13063324C2312yes—
225#13063323C2314yes—
226#13063323C2312yes—
227#13063323C2314yes—
228#13063323C2312yes—
229#13063323C2312yes—
230#13063323C2312yes—
231#13063322C2312yes—
232#13063321C2312yes—
233#13063321C2314yes—
234#13063321C2312yes—
235#13063321C2312yes—
236#13063321C2312yes—
237#13063320C2318yes—
238#13063320C2318yes—
239#13063320C2318yes—
240#13063320C2318yes—
241#13063319C2318yes—
242#13063319C2318yes—
243#13063318C2318yes—
244#13063318C2318yes—
245#13063318C2318yes—
246#13063318C2318yes—
247#13063317C2318yes—
248#13063317C2312yes—
249#13063316C2318yes—
250#13063316C2312yes—
251#13063316C2312yes—
252#13063315C2314yes—
253#13063315C2318yes—
254#13063315C2318yes—
255#13063315C2318yes—
256#13063315C2314yes—
257#13063315C2318yes—
258#13063314C2318yes—
259#13063314C2312yes—
260#13063314C2312yes—
261#13063313C2312yes—
262#13063313C2314yes—
263#13063313C2312yes—
264#13063313C2312yes—
265#13063313C2312yes—
266#13063312C2312yes—
267#13063312C2312yes—
268#13063311C2318yes—
269#13063311C2318yes—
270#13063311C2318yes—
271#13063311C2318yes—
272#13063310C2318yes—
273#13063310C2318yes—
274#13063310C2318yes—
275#13063309C2318yes—
276#13063309C2314yes—
277#13063309C2318yes—
278#13063308C2314yes—
279#13063308C2318yes—
280#13063308C2318yes—
281#13063307C2318yes—
282#13063307C2318yes—
283#13063307C2318yes—
284#13063307C2318yes—
285#13063307C2318yes—
286#13063306C2314yes—
287#13063305C2314yes—
288#13063305C2314yes—
289#13063304C2314yes—
290#13063304C2314yes—
291#13063303C2318yes—
292#13063303C2318yes—
293#13063303C2318yes—
294#13063303C2314yes—
295#13063303C2314yes—
296#13063302C2318yes—
297#13063302C2318yes—
298#13063302C2314yes—
299#13063302C2318yes—
300#13063302C2314yes—
301#13063301C2318yes—
302#13063301C2314yes—
303#13063301C2314yes—
304#13063300C2318yes—
305#13063300C2314yes—
306#13063299C2318yes—
307#13063299C2314yes—
308#13063298C2318yes—
309#13063298C2318yes—
310#13063298C2318yes—
311#13063298C2318yes—
312#13063298C2318yes—
313#13063298C2318yes—
314#13063298C2318yes—
315#13063298C2318yes—
316#13063298C2318yes—
317#13063297C2318yes—
318#13063297C2318yes—
319#13063297C2318yes—
320#13063296C2318yes—
321#13063296C2318yes—
322#13063296C2314yes—
323#13063295C2314yes—
324#13063295C2318yes—
325#13063294C2314yes—
326#13063293C2314yes—
327#13063293C2318yes—
328Q8×Dic43C2312yes—
329Q8×Dic43C2314yes—
330Q8×Dic43C2314yes—
331Q8×Dic43C2314yes—
332C4×Dic86C2318yes—
333C4×Dic86C2314yes—
334C4×Dic86C2314yes—
335C4×Dic86C2314yes—
336C4×Dic86C2312yes—
337C4×Dic86C2314yes—
338C4×Dic86C2314yes—
339C4×Dic86C2314yes—
340#13063290C2318yes—
341#13063290C2314yes—
342#13063290C2314yes—
343#13063290C2312yes—
344#13063290C2314yes—
345#13063290C2314yes—
346#13063290C2314yes—
347#13063290C2314yes—
348C4×D172C2318yes—
349C4×D172C2314yes—
350C4×D172C2314yes—
351C4×D172C2312yes—
352C4×D172C2318yes—
353C4×D172C2314yes—
354D4×Dic43C2312yes—
355D4×Dic43C2314yes—
356D4×Dic43C2314yes—
357D4×Dic43C2314yes—
358D4×Dic43C2318yes—
359#13063287C2314yes—
360#13063287C2318yes—
361#13063287C2312yes—
362#13063287C2314yes—
363#13063287C2318yes—
364#13063287C2318yes—
365#13063287C2318yes—
366#13063287C2314yes—
367C4×C22⋊D43C2318yes—
368C4×C22⋊D43C2314yes—
369C4×C22⋊D43C2318yes—
370C4×C22⋊D43C2314yes—
371C4×C22⋊D43C2314yes—
372C4×C22⋊D43C2318yes—
373C4×C22⋊D43C2318yes—
374(C22⋊D43)⋊C4C2314yes—
375(C22⋊D43)⋊C4C2318yes—
376(C22⋊D43)⋊C4C2318yes—
377(C22⋊D43)⋊C4C2314yes—
378(C22⋊D43)⋊C4C2318yes—
379(C22⋊D43)⋊C4C2318yes—
380(C22⋊D43)⋊C4C2318yes—
381(C22⋊D43)⋊C4C2314yes—
382(C22⋊D43)⋊C4C2318yes—
383(C22⋊D43)⋊C4C2318yes—
384(C22⋊D43)⋊C4C2318yes—
385(C22⋊D43)⋊C4C2318yes—
386(C22⋊D43)⋊C4C2318yes—
387#13063284C2314yes—
388#13063284C2311yescharacteristic
389#13063284C2311yescharacteristic
390#13063284C2311yescharacteristic
391#13063284C2312yes—
392#13063283C2318yes—
393#13063283C2312yes—
394#13063283C2312yes—
395#13063283C2312yes—
396#13063283C2314yes—
397#13063283C2318yes—
398#13063282C2318yes—
399#13063282C2318yes—
400#13063282C2318yes—
401#13063282C2312yes—
402#13063282C2312yes—
403#13063282C2312yes—
404#13063282C2312yes—
405#13063282C2312yes—
406#13063281C2318yes—
407#13063281C2314yes—
408#13063281C2314yes—
409#13063281C2318yes—
410#13063281C2318yes—
411#13063281C2312yes—
412#13063281C2312yes—
413#13063281C2312yes—
414#13063281C2314yes—
415#13063281C2318yes—
416C2×Dic43⋊C4C2314yes—
417C2×Dic43⋊C4C2318yes—
418C4⋊C4×D43C2318yes—
419C4⋊C4×D43C2314yes—
420C4⋊C4×D43C2314yes—
421C4⋊C4×D43C2314yes—
422C4⋊C4×D43C2312yes—
423C4⋊C4×D43C2312yes—
424C4⋊C4×D43C2312yes—
425C4⋊C4×D43C2314yes—
426C2×C22⋊Dic43C2314yes—
427C2×(C2×D43)⋊C4C2314yes—
428C22⋊C4×D43C2314yes—
429C22⋊C4×D43C2314yes—
430C22⋊C4×D43C2312yes—
431C22⋊C4×D43C2312yes—
432C22⋊C4×D43C2312yes—
433C22⋊C4×D43C2314yes—
434C2×C4×Dic43C2312yes—
435C2×C4×Dic43C2311yescharacteristic
436C2×C4×Dic43C2314yes—
437C2×C4×Dic43C2312yes—
438C2×C4×Dic43C2318yes—
439C42×D43C2311yescharacteristic
440C42×D43C2311yescharacteristic
441C42×D43C2312yes—
442C42×D43C2312yes—
443C42×D43C2311yescharacteristic
444C42×D43C2311yescharacteristic
445C42×D43C2312yes—
446C42×D43C2314yes—
447C42×D43C2314yes—
448C42×D43C2312yes—
449C42×D43C2312yes—
450C42×D43C2312yes—
451C42×D43C2312yes—
452C42×D43C2318yes—
453C2×#41×C43C2311yescharacteristic
454C22×Q8×C43C2311yescharacteristic
455C22×D4×C43C2311yescharacteristic
456C4⋊Q8×C43C2312yes—
457C4⋊Q8×C43C2312yes—
458#127×C43C2312yes—
459#126×C43C2318yes—
460#126×C43C2318yes—
461#125×C43C2312yes—
462#124×C43C2318yes—
463#124×C43C2312yes—
464#124×C43C2312yes—
465#124×C43C2314yes—
466#124×C43C2312yes—
467#124×C43C2312yes—
468#123×C43C2318yes—
469#123×C43C2314yes—
470#123×C43C2318yes—
471C22⋊Q8×C43C2318yes—
472C22⋊Q8×C43C2314yes—
473C22⋊Q8×C43C2314yes—
474#121×C43C2314yes—
475#120×C43C2314yes—
476C4×Q8×C43C2312yes—
477C4×Q8×C43C2314yes—
478C4×Q8×C43C2314yes—
479C4×Q8×C43C2314yes—
480C4×D4×C43C2314yes—
481C4×D4×C43C2314yes—
482C4×D4×C43C2312yes—
483C4×D4×C43C2314yes—
484C4×D4×C43C2318yes—
485#117×C43C2311yescharacteristic
486#117×C43C2312yes—
487#117×C43C2311yescharacteristic
488#117×C43C2314yes—
489#117×C43C2311yescharacteristic
490#117×C43C2318yes—
491C2×C22⋊C4×C43C2314yes—
492C2×C22⋊C4×C43C2314yes—
493C2×C42×C43C2311yescharacteristic
494C2×C42×C43C2312yes—
495C24×C43C2412yes—
496C23×D43C2412yes—
497C23×D43C2412yes—
498C23×D43C2411yescharacteristic
499#41×C43—24no—
500C2×Q8×C43—24no—
501C2×Q8×C43C2412yes—
502C2×Q8×C43C2412yes—
503C2×Q8×C43C2411yescharacteristic
504C2×Q8×C43C2414yes—
505C2×D4×C43—24no—
506C2×D4×C43C2412yes—
507C2×D4×C43C2412yes—
508C2×D4×C43C2412yes—
509C2×D4×C43C2411yescharacteristic
510C2×D4×C43C2418yes—
511C22×C4×C43C2412yes—
512C22×C4×C43C2412yes—
513C22×C4×C43C2412yes—
514C22×C4×C43C2414yes—
515C22×C4×C43C2418yes—
516C22×C4×C43C2411yescharacteristic
517C2×C22⋊D43—28no—
518C2×C22⋊D43—48no—
519C2×C22⋊D43C2418yes—
520C2×C22⋊D43C2414yes—
521C2×C22⋊D43C2412yes—
522C2×C22⋊D43C2412yes—
523C2×C22⋊D43C2414yes—
524C2×C22⋊D43C2412yes—
525C2×C22⋊D43C2418yes—
526C2×C22⋊D43C2418yes—
527C2×C22⋊D43C2418yes—
528C22×Dic43—28no—
529C22×Dic43C2412yes—
530C22×Dic43C2414yes—
531C22×Dic43C2412yes—
532C22×Dic43C2414yes—
533C22×Dic43C2412yes—
534C22×Dic43C2414yes—
535C22×Dic43C2418yes—
536C22×Dic43C2411yescharacteristic
537#10621902—24no—
538#10621902—28no—
539#10621902—28no—
540#10621902—28no—
541#10621902—28no—
542Q8×D43—24no—
543Q8×D43—48no—
544#10621900—28no—
545#10621900—24no—
546#10621900—28no—
547#10621900—28no—
548#10621900—28no—
549#10621900—28no—
550#10621900—416no—
551D4×D43—24no—
552D4×D43—28no—
553#10621898—24no—
554#10621898—28no—
555#10621898—416no—
556C2×D172—24no—
557C2×D172—28no—
558C2×D172C2414yes—
559C2×D172C2414yes—
560C2×D172C2412yes—
561C2×D172C2412yes—
562C2×D172C2412yes—
563C2×D172C2411yescharacteristic
564C2×D172C2418yes—
565C2×C4×D43—28no—
566C2×C4×D43—28no—
567C2×C4×D43—48no—
568C2×C4×D43—44no—
569C2×C4×D43#4118yescomplemented
570C2×C4×D43C2412yes—
571C2×C4×D43C2412yes—
572C2×C4×D43C2412yes—
573C2×C4×D43C2414yes—
574C2×C4×D43C2412yes—
575C2×C4×D43C2414yes—
576C2×C4×D43C2412yes—
577C2×C4×D43C2414yes—
578C2×C4×D43C2414yes—
579C2×C4×D43C2412yes—
580C2×C4×D43C2412yes—
581C2×C4×D43C2414yes—
582C2×C4×D43C2414yes—
583C2×C4×D43C2414yes—
584C2×C4×D43C2418yes—
585C2×C4×D43C2418yes—
586C2×C4×D43C2411yescharacteristic
587C2×C4×D43C2411yescharacteristic
588C2×C4×D43C2411yescharacteristic
589C2×C4×D43C2411yescharacteristic
590C2×Dic86—24no—
591C2×Dic86C2414yes—
592C2×Dic86C2412yes—
593C2×Dic86C2412yes—
594C2×Dic86C2411yescharacteristic
595C2×Dic86C2412yes—
596C2×Dic86C2414yes—
597C2×Dic86C2414yes—
598C4⋊C4×C43C2414yes—
599C4⋊C4×C43C2412yes—
600C4⋊C4×C43C2412yes—
601C4⋊C4×C43C2414yes—
602C4⋊C4×C43C2412yes—
603C4⋊C4×C43C2418yes—
604C4⋊C4×C43C2418yes—
605C4⋊C4×C43C2414yes—
606C4⋊C4×C43C2414yes—
607C22⋊C4×C43C2412yes—
608C22⋊C4×C43C2412yes—
609C22⋊C4×C43C2418yes—
610C22⋊C4×C43C2418yes—
611C22⋊C4×C43C2418yes—
612C22⋊C4×C43C2412yes—
613C22⋊C4×C43C2414yes—
614C22⋊C4×C43C2418yes—
615C22⋊C4×C43C2418yes—
616C42×C43C2411yescharacteristic
617C42×C43C2412yes—
618C42×C43C2414yes—
619C42×C43C2411yescharacteristic
620C42×C43C2412yes—
621C42×C43C2418yes—
622C42×C43C2412yes—
623C42×C43C2412yes—
624C22⋊Dic43C2412yes—
625C22⋊Dic43C2412yes—
626C22⋊Dic43C2412yes—
627C22⋊Dic43C2414yes—
628C22⋊Dic43C2418yes—
629C22⋊Dic43C2418yes—
630C22⋊Dic43C2418yes—
631(C2×D43)⋊C4C2414yes—
632(C2×D43)⋊C4C2414yes—
633(C2×D43)⋊C4C2414yes—
634(C2×D43)⋊C4C2414yes—
635(C2×D43)⋊C4C2414yes—
636(C2×D43)⋊C4C2418yes—
637(C2×D43)⋊C4C2418yes—
638(C2×D43)⋊C4C2418yes—
639(C2×D43)⋊C4C2418yes—
640(C2×D43)⋊C4C2418yes—
641(C2×D43)⋊C4C2418yes—
642(C2×D43)⋊C4C2418yes—
643(C2×D43)⋊C4C2418yes—
644C4⋊Dic43C2412yes—
645C4⋊Dic43C2412yes—
646C4⋊Dic43C2414yes—
647C4⋊Dic43C2412yes—
648C4⋊Dic43C2418yes—
649C4⋊Dic43C2414yes—
650C4⋊Dic43C2414yes—
651C4⋊Dic43C2414yes—
652C4⋊Dic43C2418yes—
653Dic43⋊C4C2414yes—
654Dic43⋊C4C2414yes—
655Dic43⋊C4C2414yes—
656Dic43⋊C4C2414yes—
657Dic43⋊C4C2414yes—
658Dic43⋊C4C2414yes—
659Dic43⋊C4C2414yes—
660Dic43⋊C4C2414yes—
661Dic43⋊C4C2414yes—
662Dic43⋊C4C2414yes—
663Dic43⋊C4C2414yes—
664Dic43⋊C4C2418yes—
665Dic43⋊C4C2418yes—
666Dic43⋊C4C2418yes—
667Dic43⋊C4C2418yes—
668Dic43⋊C4C2418yes—
669Dic43⋊C4C2418yes—
670C4×Dic43C2414yes—
671C4×Dic43C2412yes—
672C4×Dic43C2411yescharacteristic
673C4×Dic43C2414yes—
674C4×Dic43C2412yes—
675C4×Dic43C2414yes—
676C4×Dic43C2412yes—
677C4×Dic43C2411yescharacteristic
678C4×Dic43C2412yes—
679C4×Dic43C2412yes—
680C4×Dic43C2414yes—
681C4×Dic43C2414yes—
682C4×Dic43C2412yes—
683C4×Dic43C2414yes—
684C4×Dic43C2418yes—
685C4×Dic43C2412yes—
686C4×Dic43C2412yes—
687C4×Dic43C2418yes—
688C4×Dic43C2418yes—
689C23×C43—24no—
690C23×C43—44no—
691C23×C43C2512yes—
692C23×C43C2514yes—
693C23×C43C2511yescharacteristic
694C22×D43—24no—
695C22×D43—24no—
696C22×D43—42no—
697C22×D43—44no—
698C22×D43—44no—
699C22×D43C2×#4114yes—
700C22×D43C2514yes—
701C22×D43C2512yes—
702C22×D43C2511yescharacteristic
703C22×D43C2511yescharacteristic
704Q8×C43—22no—
705Q8×C43—24no—
706Q8×C43—24no—
707Q8×C43—44no—
708D4×C43—24no—
709D4×C43—22no—
710D4×C43—24no—
711D4×C43—24no—
712D4×C43—48no—
713C2×C4×C43—24no—
714C2×C4×C43—24no—
715C2×C4×C43—42no—
716C2×C4×C43—44no—
717C2×C4×C43—48no—
718C2×C4×C43C2×#4114yes—
719C2×C4×C43C2514yes—
720C2×C4×C43C2512yes—
721C2×C4×C43C2514yes—
722C2×C4×C43C2514yes—
723C2×C4×C43C2512yes—
724C2×C4×C43C2512yes—
725C2×C4×C43C2514yes—
726C2×C4×C43C2511yescharacteristic
727C2×C4×C43C2511yescharacteristic
728C22⋊D43—24no—
729C22⋊D43—24no—
730C22⋊D43—28no—
731C22⋊D43—28no—
732C22⋊D43—24no—
733C22⋊D43—216no—
734C22⋊D43—48no—
735C22⋊D43—48no—
736C22⋊D43—48no—
737C2×Dic43—24no—
738C2×Dic43—24no—
739C2×Dic43—28no—
740C2×Dic43—28no—
741C2×Dic43—28no—
742C2×Dic43—24no—
743C2×Dic43—48no—
744C2×Dic43C2×#4114yes—
745C2×Dic43C2514yes—
746C2×Dic43C2512yes—
747C2×Dic43C2514yes—
748C2×Dic43C2514yes—
749C2×Dic43C2512yes—
750C2×Dic43C2514yes—
751C2×Dic43C2511yescharacteristic
752C2×Dic43C2511yescharacteristic
753C2×Dic43C2512yes—
754D172—28no—
755D172—28no—
756D172—24no—
757D172—24no—
758D172—24no—
759D172—22no—
760D172—48no—
761C4×D43—24no—
762C4×D43—24no—
763C4×D43—24no—
764C4×D43—28no—
765C4×D43—28no—
766C4×D43—24no—
767C4×D43—28no—
768C4×D43—24no—
769C4×D43—44no—
770C4×D43—44no—
771C4×D43—42no—
772C4×D43—42no—
773C4×D43—48no—
774C4×D43—48no—
775C4×D43—44no—
776C4×D43—44no—
777C4×D43C2×#4114yes—
778C4×D43C2×#4114yes—
779C4×D43C2×#4114yes—
780C4×D43C2×#4114yes—
781Dic86—24no—
782Dic86—24no—
783Dic86—22no—
784Dic86—24no—
785Dic86—28no—
786Dic86—28no—
787Dic86—44no—
788#62815—431nomaximal, Sylow
789C22×C43—22no—
790C22×C43—22no—
791C22×C43—24no—
792C22×C43—24no—
793C22×C43—28no—
794C22×C43—84no—
795C22×C43C22×#4112yes—
796C22×C43C2611yescharacteristic
797C2×D43—22no—
798C2×D43—22no—
799C2×D43—24no—
800C2×D43—22no—
801C2×D43—24no—
802C2×D43—28no—
803C2×D43—44no—
804C2×D43—48no—
805C2×D43—84no—
806C2×D43C22×#4112yes—
807C2×D43C22×#4112yes—
808C4×C43—22no—
809C4×C43—24no—
810C4×C43—24no—
811C4×C43—24no—
812C4×C43—22no—
813C4×C43—22no—
814C4×C43—24no—
815C4×C43C22×#4112yes—
816C4×C43C22×#4112yes—
817Dic43—22no—
818Dic43—24no—
819Dic43—24no—
820Dic43—24no—
821Dic43—24no—
822Dic43—22no—
823Dic43C22×#4112yes—
824Dic43C22×#4112yes—
825Dic43#58514yes—
826#3512—434no—
827#3511—434no—
828#3510—431no—
829#3510—431no—
830#3510—431no—
831#3510D4311yescharacteristic, complemented
832#3509—431no—
833#3509—431no—
834#3508—431no—
835#3508—431no—
836#3507—434no—
837#3506—434no—
838#3505—438no—
839#3480—434no—
840#3480—434no—
841#3475—438no—
842#3455—434no—
843#3449—431no—
844#3449—431no—
845#3444—434no—
846C2×#533—431no—
847C2×#532—431no—
848#3428—431no—
849#3428—431no—
850C2×C4×#41—431no—
851C2×C43—22no—
852C2×C43—42no—
853C2×C43—44no—
854C2×C43C23×#4111yescharacteristic
855C2×C43C2×#58512yes—
856D43—22no—
857D43—22no—
858D43—42no—
859D43—44no—
860C22×#41—431no—
861C22×#41—431no—
862C22×#41—431no—
863#559—434no—
864#559—434no—
865#559—434no—
866#559—434no—
867#559—434no—
868#559C2×D4314yescomplemented
869#557—434no—
870#557—434no—
871#556—438no—
872#556—434no—
873#556—434no—
874#556—434no—
875#556—434no—
876#556—434no—
877#556C2×D4314yescomplemented
878#555—438no—
879#554—438no—
880#553—438no—
881#553—438no—
882#553—438no—
883#553—438no—
884#553—438no—
885#553—438no—
886#553—438no—
887#553—438no—
888#552—438no—
889#552—438no—
890#552—438no—
891#552—438no—
892#551—438no—
893#551—438no—
894#551—438no—
895#551C2×D4318yescomplemented
896#550—434no—
897#550—434no—
898#548—438no—
899#548—438no—
900#547—438no—
901#546—438no—
902#546—438no—
903#542—434no—
904#542—434no—
905#542—434no—
906#542C2×D4314yescomplemented
907#541—434no—
908#541—434no—
909#540—434no—
910#540—434no—
911#539—438no—
912#539—438no—
913#538—438no—
914#538—438no—
915#537—434no—
916#537—434no—
917#536—431no—
918#536—431no—
919#536—432no—
920#536—432no—
921#536—431no—
922#536C2×D4311yescharacteristic
923#535—431no—
924#535—431no—
925#535—432no—
926#535—432no—
927#535—431no—
928#535C2×D4311yescharacteristic
929#534—434no—
930#534—434no—
931#533—432no—
932#533—432no—
933#533—434no—
934#533—434no—
935#533—434no—
936#533—434no—
937#533—431no—
938#533—431no—
939#533—431no—
940#533C2×D4311yescharacteristic, complemented
941#532—432no—
942#532—432no—
943#532—432no—
944#532—432no—
945#532—434no—
946#532—434no—
947#532—432no—
948#532—432no—
949#532—432no—
950#532—432no—
951#532—434no—
952#532—434no—
953C2×C4⋊Q8—431no—
954C2×C4⋊Q8—432no—
955C2×#127—431no—
956#529—438no—
957#529—438no—
958#529—438no—
959#529—434no—
960#529—434no—
961#529—438no—
962#529—438no—
963#529—438no—
964#529—438no—
965#529—438no—
966#529—434no—
967#529C2×D4314yescomplemented
968C2×#125—432no—
969C2×#124—431no—
970C2×#124C2×D4311yescharacteristic, complemented
971#525—434no—
972#525—438no—
973#525—434no—
974#525—434no—
975#525—434no—
976#525—438no—
977C2×C22⋊Q8—434no—
978C2×#121—434no—
979#520—434no—
980#520—434no—
981#520—434no—
982#520—434no—
983#519—431no—
984#519—431no—
985#519—431no—
986#519C2×D4311yescharacteristic, complemented
987#518—431no—
988#518—434no—
989#518—431no—
990#518—431no—
991#518—434no—
992#518C2×D4311yescharacteristic, complemented
993C4×#41—431no—
994C4×#41—432no—
995C4×#41—434no—
996C4×#41—434no—
997C4×#41—434no—
998C4×#41—432no—
999C4×#41—434no—
1000C4×#41—434no—
1001C4×#41—438no—
1002C4×#41—431no—
1003C4×#41—432no—
1004C4×#41—438no—
1005C4×#41—431no—
1006C4×#41—432no—
1007C4×#41C2×D4311yescharacteristic
1008C2×C4×Q8—432no—
1009C2×C4×Q8—434no—
1010C2×C4×D4—434no—
1011C2×C4×D4—432no—
1012C2×C4×D4—434no—
1013C2×#117—431no—
1014C2×#117—431no—
1015C2×#117—431no—
1016C2×#117—432no—
1017C2×#117—434no—
1018C2×#117—434no—
1019C22×C42—431no—
1020C22×C42—432no—
1021C43#6281511yescharacteristic, complemented, Sylow
1022C2×#41—432no—
1023C2×#41—431no—
1024C2×#41—432no—
1025C2×#41—432no—
1026C2×#41—432no—
1027C2×#41—432no—
1028C2×#41—432no—
1029C2×#41—431no—
1030C2×#41—432no—
1031C2×#41—432no—
1032C2×#41—432no—
1033C2×#41—438no—
1034C2×#41—431no—
1035C2×#41—432no—
1036C2×#41—438no—
1037C2×#41—868no—
1038C2×#41—868no—
1039C2×#41—868no—
1040C2×#41C22×D4311yescharacteristic
1041C22×Q8—431no—
1042C22×Q8—434no—
1043C22×Q8—431no—
1044C22×Q8C22×D4311yescharacteristic
1045C22×D4—432no—
1046C22×D4—434no—
1047C22×D4—432no—
1048C22×D4—431no—
1049C22×D4—432no—
1050C22×D4—431no—
1051C22×D4C22×D4311yescharacteristic
1052C23×C4—431no—
1053C23×C4—432no—
1054C23×C4—432no—
1055C23×C4—432no—
1056C23×C4—432no—
1057C23×C4—434no—
1058C4⋊Q8—432no—
1059C4⋊Q8—432no—
1060C4⋊Q8—434no—
1061C4⋊Q8—434no—
1062C4⋊Q8—432no—
1063C4⋊Q8—432no—
1064C4⋊Q8—432no—
1065C4⋊Q8—432no—
1066C4⋊Q8—434no—
1067C4⋊Q8—432no—
1068C4⋊Q8—432no—
1069C4⋊Q8C22×D4312yes—
1070C4⋊Q8C22×D4312yes—
1071#127—432no—
1072#127—432no—
1073#127—434no—
1074#127—432no—
1075#127—432no—
1076#127—432no—
1077#127C22×D4312yes—
1078#126—438no—
1079#126—438no—
1080#126—438no—
1081#126—438no—
1082#126—438no—
1083#126—438no—
1084#126—438no—
1085#126—438no—
1086#126—438no—
1087#126—438no—
1088#126C22×D4318yes—
1089#126C22×D4318yes—
1090#125—432no—
1091#125—432no—
1092#125—434no—
1093#125—434no—
1094#125—438no—
1095#125—438no—
1096#125—438no—
1097#125—438no—
1098#125—438no—
1099#125—432no—
1100#125—438no—
1101#125C22×D4312yes—
1102#124—438no—
1103#124—432no—
1104#124—432no—
1105#124—432no—
1106#124—432no—
1107#124—438no—
1108#124—438no—
1109#124—438no—
1110#124—438no—
1111#124—432no—
1112#124—432no—
1113#124—434no—
1114#124—432no—
1115#124—432no—
1116#124C22×D4312yes—
1117#124C22×D4312yes—
1118#124C22×D4314yes—
1119#124C22×D4318yes—
1120#124C22×D4312yes—
1121#124C22×D4312yes—
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#123C22×D4318yes—
1138#123C22×D4314yes—
1139#123C22×D4318yes—
1140C22⋊Q8—434no—
1141C22⋊Q8—434no—
1142C22⋊Q8—438no—
1143C22⋊Q8—434no—
1144C22⋊Q8—434no—
1145C22⋊Q8—434no—
1146C22⋊Q8—434no—
1147C22⋊Q8—434no—
1148C22⋊Q8—434no—
1149C22⋊Q8—438no—
1150C22⋊Q8—438no—
1151C22⋊Q8—438no—
1152C22⋊Q8—434no—
1153C22⋊Q8—434no—
1154C22⋊Q8—438no—
1155C22⋊Q8—438no—
1156C22⋊Q8—438no—
1157C22⋊Q8C22×D4314yes—
1158C22⋊Q8C22×D4314yes—
1159C22⋊Q8C22×D4318yes—
1160#121—434no—
1161#121—438no—
1162#121—438no—
1163#121—438no—
1164#121—438no—
1165#121—438no—
1166#121—434no—
1167#121—438no—
1168#121—434no—
1169#121—438no—
1170#121—438no—
1171#121—438no—
1172#121—438no—
1173#121—438no—
1174#121—438no—
1175#121—438no—
1176#121—438no—
1177#121—438no—
1178#121—438no—
1179#121C22×D4314yes—
1180#120—434no—
1181#120—438no—
1182#120—434no—
1183#120—438no—
1184#120—434no—
1185#120C22×D4314yes—
1186C4×Q8—432no—
1187C4×Q8—434no—
1188C4×Q8—434no—
1189C4×Q8—434no—
1190C4×Q8—434no—
1191C4×Q8—434no—
1192C4×Q8—434no—
1193C4×Q8—432no—
1194C4×Q8—434no—
1195C4×Q8—434no—
1196C4×Q8—434no—
1197C4×Q8—438no—
1198C4×Q8—434no—
1199C4×Q8—432no—
1200C4×Q8—434no—
1201C4×Q8—434no—
1202C4×Q8—434no—
1203C4×Q8—434no—
1204C4×Q8—434no—
1205C4×Q8—438no—
1206C4×Q8C22×D4312yes—
1207C4×Q8C22×D4314yes—
1208C4×Q8C22×D4314yes—
1209C4×Q8C22×D4314yes—
1210C4×D4—434no—
1211C4×D4—432no—
1212C4×D4—434no—
1213C4×D4—434no—
1214C4×D4—438no—
1215C4×D4—434no—
1216C4×D4—434no—
1217C4×D4—434no—
1218C4×D4—438no—
1219C4×D4—438no—
1220C4×D4—438no—
1221C4×D4—438no—
1222C4×D4—434no—
1223C4×D4—432no—
1224C4×D4—438no—
1225C4×D4—434no—
1226C4×D4—438no—
1227C4×D4—434no—
1228C4×D4—438no—
1229C4×D4—438no—
1230C4×D4—438no—
1231C4×D4—434no—
1232C4×D4—434no—
1233C4×D4—434no—
1234C4×D4—438no—
1235C4×D4—438no—
1236C4×D4—438no—
1237C4×D4—438no—
1238C4×D4—438no—
1239C4×D4—438no—
1240C4×D4—438no—
1241C4×D4—438no—
1242C4×D4—438no—
1243C4×D4—434no—
1244C4×D4—432no—
1245C4×D4—438no—
1246C4×D4—434no—
1247C4×D4—438no—
1248C4×D4—434no—
1249C4×D4C22×D4314yes—
1250C4×D4C22×D4312yes—
1251C4×D4C22×D4314yes—
1252C4×D4C22×D4314yes—
1253C4×D4C22×D4318yes—
1254#117—431no—
1255#117—432no—
1256#117—431no—
1257#117—431no—
1258#117—434no—
1259#117—432no—
1260#117—432no—
1261#117—432no—
1262#117—434no—
1263#117—438no—
1264#117—438no—
1265#117—432no—
1266#117—432no—
1267#117—432no—
1268#117—434no—
1269#117—438no—
1270#117—434no—
1271#117—434no—
1272#117—438no—
1273#117—438no—
1274#117—438no—
1275#117—432no—
1276#117—432no—
1277#117—432no—
1278#117—432no—
1279#117—432no—
1280#117—438no—
1281#117—438no—
1282#117—438no—
1283#117C22×D4311yescharacteristic
1284#117C22×D4312yes—
1285#117C22×D4311yescharacteristic
1286#117C22×D4314yes—
1287#117C22×D4311yescharacteristic
1288#117C22×D4318yes—
1289C2×C4⋊C4—438no—
1290C2×C4⋊C4—434no—
1291C2×C4⋊C4—432no—
1292C2×C4⋊C4—434no—
1293C2×C4⋊C4—432no—
1294C2×C4⋊C4—432no—
1295C2×C4⋊C4—438no—
1296C2×C4⋊C4—434no—
1297C2×C4⋊C4—434no—
1298C2×C4⋊C4—434no—
1299C2×C22⋊C4—434no—
1300C2×C22⋊C4—434no—
1301C2×C22⋊C4—432no—
1302C2×C22⋊C4—434no—
1303C2×C22⋊C4—432no—
1304C2×C22⋊C4—432no—
1305C2×C22⋊C4—434no—
1306C2×C22⋊C4—434no—
1307C2×C22⋊C4C22×D4314yes—
1308C2×C22⋊C4C22×D4314yes—
1309C2×C42—438no—
1310C2×C42—432no—
1311C2×C42—434no—
1312C2×C42—431no—
1313C2×C42—432no—
1314C2×C42—432no—
1315C2×C42—431no—
1316C2×C42—432no—
1317C2×C42—432no—
1318C2×C42—438no—
1319C2×C42—434no—
1320C2×C42—432no—
1321C2×C42—432no—
1322C2×C42—434no—
1323C2×C42—431no—
1324C2×C42—432no—
1325C2×C42—431no—
1326C2×C42—432no—
1327C2×C42—431no—
1328C2×C42C22×D4311yescharacteristic
1329C2×C42C22×D4312yes—
1330C24—431no—
1331C24—432no—
1332C24—432no—
1333C24C23×D4312yes—
1334#41—24no—
1335#41—868no—
1336#41—868no—
1337#41—868no—
1338#41—868no—
1339#41—868no—
1340#41—868no—
1341#41—864no—
1342#41—868no—
1343#41—868no—
1344#41—868no—
1345#41—868no—
1346#41—864no—
1347#41—864no—
1348#41—17216no—
1349#41—17216no—
1350C2×Q8—24no—
1351C2×Q8—432no—
1352C2×Q8—434no—
1353C2×Q8—434no—
1354C2×Q8—432no—
1355C2×Q8—431no—
1356C2×Q8—432no—
1357C2×Q8—434no—
1358C2×Q8—864no—
1359C2×Q8—864no—
1360C2×Q8—1728no—
1361C2×Q8C23×D4312yes—
1362C2×Q8C23×D4311yescharacteristic
1363C2×Q8C23×D4312yes—
1364C2×Q8C23×D4314yes—
1365C2×D4—24no—
1366C2×D4—432no—
1367C2×D4—434no—
1368C2×D4—432no—
1369C2×D4—432no—
1370C2×D4—434no—
1371C2×D4—438no—
1372C2×D4—438no—
1373C2×D4—438no—
1374C2×D4—438no—
1375C2×D4—434no—
1376C2×D4—432no—
1377C2×D4—434no—
1378C2×D4—432no—
1379C2×D4—431no—
1380C2×D4—432no—
1381C2×D4—438no—
1382C2×D4—868no—
1383C2×D4—864no—
1384C2×D4—868no—
1385C2×D4—868no—
1386C2×D4—864no—
1387C2×D4—1728no—
1388C2×D4C23×D4312yes—
1389C2×D4C23×D4312yes—
1390C2×D4C23×D4311yescharacteristic
1391C2×D4C23×D4312yes—
1392C2×D4C23×D4318yes—
1393C22×C4—431no—
1394C22×C4—438no—
1395C22×C4—431no—
1396C22×C4—431no—
1397C22×C4—431no—
1398C22×C4—431no—
1399C22×C4—432no—
1400C22×C4—432no—
1401C22×C4—434no—
1402C22×C4—434no—
1403C22×C4—432no—
1404C22×C4—434no—
1405C22×C4—438no—
1406C22×C4—432no—
1407C22×C4—432no—
1408C22×C4—432no—
1409C22×C4—432no—
1410C22×C4—434no—
1411C22×C4—434no—
1412C22×C4—432no—
1413C22×C4—434no—
1414C22×C4—434no—
1415C22×C4—432no—
1416C22×C4—432no—
1417C22×C4—434no—
1418C22×C4—434no—
1419C22×C4—434no—
1420C22×C4—438no—
1421C22×C4—438no—
1422C22×C4—868no—
1423C22×C4—868no—
1424C22×C4—868no—
1425C22×C4—1724no—
1426C22×C4—1728no—
1427C22×C4C23×D4312yes—
1428C22×C4C23×D4312yes—
1429C22×C4C23×D4312yes—
1430C22×C4C23×D4314yes—
1431C22×C4C23×D4318yes—
1432C22×C4C23×D4311yescharacteristic
1433C4⋊C4—434no—
1434C4⋊C4—434no—
1435C4⋊C4—434no—
1436C4⋊C4—432no—
1437C4⋊C4—434no—
1438C4⋊C4—438no—
1439C4⋊C4—434no—
1440C4⋊C4—432no—
1441C4⋊C4—432no—
1442C4⋊C4—434no—
1443C4⋊C4—438no—
1444C4⋊C4—438no—
1445C4⋊C4—434no—
1446C4⋊C4—434no—
1447C4⋊C4—438no—
1448C4⋊C4—434no—
1449C4⋊C4—434no—
1450C4⋊C4—438no—
1451C4⋊C4—434no—
1452C4⋊C4—434no—
1453C4⋊C4—434no—
1454C4⋊C4—434no—
1455C4⋊C4—434no—
1456C4⋊C4—438no—
1457C4⋊C4—438no—
1458C4⋊C4—438no—
1459C4⋊C4C23×D4314yes—
1460C4⋊C4C23×D4312yes—
1461C4⋊C4C23×D4312yes—
1462C4⋊C4C23×D4318yes—
1463C4⋊C4C23×D4314yes—
1464C4⋊C4C23×D4312yes—
1465C4⋊C4C23×D4314yes—
1466C4⋊C4C23×D4314yes—
1467C4⋊C4C23×D4318yes—
1468C22⋊C4—432no—
1469C22⋊C4—432no—
1470C22⋊C4—432no—
1471C22⋊C4—434no—
1472C22⋊C4—438no—
1473C22⋊C4—438no—
1474C22⋊C4—438no—
1475C22⋊C4—434no—
1476C22⋊C4—434no—
1477C22⋊C4—434no—
1478C22⋊C4—434no—
1479C22⋊C4—438no—
1480C22⋊C4—438no—
1481C22⋊C4—438no—
1482C22⋊C4—434no—
1483C22⋊C4—438no—
1484C22⋊C4—438no—
1485C22⋊C4—438no—
1486C22⋊C4—438no—
1487C22⋊C4—438no—
1488C22⋊C4C23×D4312yes—
1489C22⋊C4C23×D4312yes—
1490C22⋊C4C23×D4312yes—
1491C22⋊C4C23×D4314yes—
1492C22⋊C4C23×D4318yes—
1493C22⋊C4C23×D4318yes—
1494C22⋊C4C23×D4318yes—
1495C22⋊C4C23×D4318yes—
1496C22⋊C4C23×D4318yes—
1497C42—434no—
1498C42—432no—
1499C42—431no—
1500C42—434no—
1501C42—434no—
1502C42—432no—
1503C42—432no—
1504C42—434no—
1505C42—431no—
1506C42—432no—
1507C42—432no—
1508C42—434no—
1509C42—434no—
1510C42—432no—
1511C42—438no—
1512C42—438no—
1513C42—438no—
1514C42—432no—
1515C42—432no—
1516C42C23×D4311yescharacteristic
1517C42C23×D4312yes—
1518C42C23×D4314yes—
1519C42C23×D4311yescharacteristic
1520C42C23×D4312yes—
1521C42C23×D4318yes—
1522C42C23×D4312yes—
1523C42C23×D4312yes—
1524C23—24no—
1525C23—44no—
1526C23—431no—
1527C23—431no—
1528C23—434no—
1529C23—432no—
1530C23—434no—
1531C23—864no—
1532C23—864no—
1533C23—1724no—
1534C23—1722no—
1535C23—1724no—
1536C23C24×D4312yes—
1537C23C24×D4314yes—
1538C23C24×D4311yescharacteristic
1539Q8—24no—
1540Q8—24no—
1541Q8—22no—
1542Q8—44no—
1543Q8—864no—
1544Q8—868no—
1545Q8—868no—
1546Q8—864no—
1547Q8—862no—
1548Q8—864no—
1549Q8—1724no—
1550D4—24no—
1551D4—24no—
1552D4—24no—
1553D4—22no—
1554D4—48no—
1555D4—864no—
1556D4—868no—
1557D4—868no—
1558D4—864no—
1559D4—8616no—
1560D4—864no—
1561D4—868no—
1562D4—868no—
1563D4—864no—
1564D4—864no—
1565D4—862no—
1566D4—864no—
1567D4—1728no—
1568D4—1728no—
1569D4—1728no—
1570D4—1728no—
1571C2×C4—24no—
1572C2×C4—24no—
1573C2×C4—44no—
1574C2×C4—42no—
1575C2×C4—48no—
1576C2×C4—434no—
1577C2×C4—431no—
1578C2×C4—432no—
1579C2×C4—431no—
1580C2×C4—434no—
1581C2×C4—434no—
1582C2×C4—434no—
1583C2×C4—434no—
1584C2×C4—434no—
1585C2×C4—432no—
1586C2×C4—434no—
1587C2×C4—434no—
1588C2×C4—434no—
1589C2×C4—432no—
1590C2×C4—864no—
1591C2×C4—868no—
1592C2×C4—868no—
1593C2×C4—864no—
1594C2×C4—864no—
1595C2×C4—868no—
1596C2×C4—864no—
1597C2×C4—864no—
1598C2×C4—868no—
1599C2×C4—868no—
1600C2×C4—864no—
1601C2×C4—868no—
1602C2×C4—864no—
1603C2×C4—864no—
1604C2×C4—1724no—
1605C2×C4—1724no—
1606C2×C4—1722no—
1607C2×C4—1722no—
1608C2×C4—1724no—
1609C2×C4—1724no—
1610C2×C4—1728no—
1611C2×C4—1728no—
1612C2×C4—1728no—
1613C2×C4#41×D4314yes—
1614C2×C4C24×D4314yes—
1615C2×C4C24×D4312yes—
1616C2×C4C24×D4314yes—
1617C2×C4C24×D4312yes—
1618C2×C4C24×D4312yes—
1619C2×C4C24×D4314yes—
1620C2×C4C24×D4314yes—
1621C2×C4C24×D4311yescharacteristic
1622C2×C4C24×D4311yescharacteristic
1623C22—22no—
1624C22—22no—
1625C22—24no—
1626C22—24no—
1627C22—28no—
1628C22—84no—
1629C22—432no—
1630C22—432no—
1631C22—862no—
1632C22—862no—
1633C22—864no—
1634C22—862no—
1635C22—864no—
1636C22—868no—
1637C22—3444no—
1638C22—1724no—
1639C22—1728no—
1640C22C2×#41×D4312yes—
1641C22C25×D4311yescharacteristic
1642C4—22no—
1643C4—24no—
1644C4—22no—
1645C4—24no—
1646C4—24no—
1647C4—22no—
1648C4—24no—
1649C4—432no—
1650C4—432no—
1651C4—434no—
1652C4—862no—
1653C4—864no—
1654C4—864no—
1655C4—862no—
1656C4—864no—
1657C4—864no—
1658C4C2×#41×D4312yes—
1659C4C2×#41×D4312yes—
1660C2—22no—
1661C2—44no—
1662C2—42no—
1663C2—862no—
1664C2—862no—
1665C2—1724no—
1666C2—1722no—
1667C2C22×#41×D4311yescharacteristic
1668C2#585×D4312yes—
subgroupG/H
center, FrattiniC22C25×D43
commutator, socle, cosocleC22×C43C26
FittingC43×#3510C2
hypercenter#3510D43
hypocenterC43#62815
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C22 ◁ #3510

Complements

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

NH ≅ G/Ntype
1. #19148510C2semidirect
2. #19148500C2semidirect
3. #19148493C2semidirect
4. #19148491C2semidirect
5. #19148489C2semidirect
6. #19148480C2semidirect
7. #19148476C2semidirect
8. #19148470C2semidirect
9. #19148466C2semidirect
10. #19148456C2semidirect
11. #19148443C2semidirect
12. #19148426C2semidirect
13. #19148191C2semidirect
14. #19148187C2semidirect
15. #19148150C2semidirect
16. #19147982C2semidirect
17. #19147927C2semidirect
18. #19147926C2semidirect
19. #19147889C2semidirect
20. #533×D43C2semidirect
21. C2×#14583448C2semidirect
22. #19147797C2semidirect
23. #19147793C2semidirect
24. C4×#41×D43C2semidirect
25. C43×#3510C2semidirect
29. #14583634C22semidirect
30. #14583632C22semidirect
31. #14583632C22semidirect
32. #14583631C22semidirect
33. #14583631C22semidirect
34. #14583627C22semidirect
35. #14583624C22semidirect
36. #14583622C22semidirect
37. #14583621C22semidirect
38. #14583621C22semidirect
39. #14583618C22semidirect
40. #14583618C22semidirect
41. #14583616C22semidirect
42. #14583611C22semidirect
43. #14583603C22semidirect
44. #14583600C22semidirect
45. #14583600C22semidirect
46. #14583599C22semidirect
47. #14583598C22semidirect
48. #14583594C22semidirect
49. #14583594C22semidirect
50. #14583594C22semidirect
51. #14583593C22semidirect
52. #14583586C22semidirect
53. #14583585C22semidirect
54. #14583582C22semidirect
55. #14583582C22semidirect
56. #14583578C22semidirect
57. #14583576C22semidirect
58. #14583575C22semidirect
59. #14583570C22semidirect
60. #14583569C22semidirect
61. #14583559C22semidirect
62. #14583557C22semidirect
63. #14583547C22semidirect
64. #14583539C22semidirect
65. #14583536C22semidirect
66. #14583523C22semidirect
67. #14583520C22semidirect
68. #14583518C22semidirect
69. #14583509C22semidirect
70. #14583507C22semidirect
71. #14583502C22semidirect
72. #14583500C22semidirect
73. #14583495C22semidirect
74. #14583490C22semidirect
75. #14583485C22semidirect
76. #14583483C22semidirect
77. #14583479C22semidirect
78. #14583478C22semidirect
80. #14583474C22semidirect
83. #14583469C22semidirect
85. #14583467C22semidirect
88. #14583462C22semidirect
91. #14583456C22semidirect
92. #14583455C22semidirect
93. #14583454C22semidirect
94. #14583453C22semidirect
95. #14583453C22semidirect
96. #14583452C22semidirect
97. #14583452C22semidirect
98. #14583451C22semidirect
99. #14583451C22semidirect
100. #14583450C22semidirect
104. #14583448C22semidirect
105. #14583448C22semidirect
106. #14583448C22semidirect
107. #14583448C22semidirect
108. #14583448C22semidirect
109. #14583447C22semidirect
110. #14583446C22semidirect
111. #14583444C22semidirect
112. C2×#13063323C22semidirect
113. C4⋊Q8×D43C22semidirect
114. C2×#13063321C22semidirect
115. #14583435C22semidirect
116. #14583434C22semidirect
117. #14583433C22semidirect
118. #14583432C22semidirect
119. #14583432C22semidirect
120. #14583432C22semidirect
121. #14583428C22semidirect
122. #14583428C22semidirect
123. #14583427C22semidirect
124. #14583426C22semidirect
125. #14583426C22semidirect
126. #125×D43C22semidirect
127. C2×#13063313C22semidirect
128. #14583412C22semidirect
129. #14583409C22semidirect
130. #14583408C22semidirect
132. #14583407C22semidirect
136. #14583381C22semidirect
137. #14583381C22semidirect
138. #14583378C22semidirect
139. #14583378C22semidirect
140. #14583377C22semidirect
141. #14583376C22semidirect
142. #14583376C22semidirect
143. #14583374C22semidirect
145. #14583373C22semidirect
146. #14583373C22semidirect
149. C4×#10621902C22semidirect
150. C4×#10621902C22semidirect
151. C4×#10621902C22semidirect
153. C4×#10621898C22semidirect
155. #14583367C22semidirect
156. #14583367C22semidirect
158. C4×#10621900C22semidirect
159. C4×#10621900C22semidirect
160. C4×#10621900C22semidirect
161. C4×#10621900C22semidirect
162. C4×Q8×D43C22semidirect
163. C4×Q8×D43C22semidirect
164. C2×(C22⋊D43)⋊C4C22semidirect
166. C4×D4×D43C22semidirect
167. C2×#13063281C22semidirect
171. #117×D43C22semidirect
172. #117×D43C22semidirect
174. C2×C42×D43C22semidirect
175. C43×#559C22semidirect
176. C43×#556C22semidirect
177. C43×#551C22semidirect
178. C43×#542C22semidirect
181. C43×#533C22semidirect
182. C43×#529C22semidirect
183. C2×#124×C43C22semidirect
184. C43×#519C22semidirect
185. C43×#518C22semidirect
569. C2×C4×D43#41semidirect
831. #3510D43semidirect
868. #559C2×D43semidirect
877. #556C2×D43semidirect
895. #551C2×D43semidirect
906. #542C2×D43semidirect
940. #533C2×D43semidirect
967. #529C2×D43semidirect
970. C2×#124C2×D43semidirect
986. #519C2×D43semidirect
992. #518C2×D43semidirect
1021. C43#62815semidirect

Maximal subgroups

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

subgroupindex
#191485102
#191485002
#191484932
#191484912
#191484892
#191484802
#191484762
#191484702
#191484662
#191484562
#191484432
#191484262
#191481912
#191481872
#191481502
#191479822
#191479272
#191479262
#191478892
#533×D432
C2×#145834482
#191477972
#191477932
C4×#41×D432
C43×#35102
#6281543