Finite Group Databasebeta

← #26005162

Subgroups — #26005162

Order 11008.

7286 conjugacy classes of subgroups.

The subgroup lattice has 1590 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148343C214yesmaximal, complemented
2#19148336C214yesmaximal, complemented
3#19148326C214yesmaximal, complemented
4#19148319C214yesmaximal, complemented
5#19148316C211yesmaximal, characteristic, complemented
6#19148314C211yesmaximal, characteristic, complemented
7#19148308C212yesmaximal, complemented
8#19148304C211yesmaximal, characteristic, complemented
9#19148301C212yesmaximal, complemented
10#19148289C214yesmaximal, complemented
11#19148278C214yesmaximal, complemented
12#19148161C214yesmaximal, complemented
13#19148158C214yesmaximal, complemented
14#19148154C214yesmaximal, complemented
15#19148148C214yesmaximal, complemented
16#19147999C211yesmaximal, characteristic, complemented
17#19147981C214yesmaximal, complemented
18#19147923C211yesmaximal, characteristic, complemented
19#19147887C214yesmaximal, complemented
20#525×D43C212yesmaximal, complemented
21#19147795C212yesmaximal, complemented
22C22×#13063283C211yesmaximal, characteristic, complemented
23C43×#3492C211yesmaximal, characteristic, complemented
24C2×#41×D43C2212yes—
25C23×C4×D43C2211yescharacteristic
26#14583623C2214yescomplemented
27#14583622C2214yescomplemented
28#14583620C2214yescomplemented
29#14583617C2214yescomplemented
30#14583615C2214yescomplemented
31#14583614C2214yescomplemented
32#14583613C2214yescomplemented
33#14583612C2214yescomplemented
34#14583607C2214yescomplemented
35#14583606C2214yescomplemented
36#14583604C2214yescomplemented
37#14583602C2214yescomplemented
38#14583601C2214yescomplemented
39#14583601C2214yescomplemented
40#14583599C2214yescomplemented
41#14583597C2214yescomplemented
42#14583597C2214yescomplemented
43#14583595C2214yescomplemented
44#14583591C2214yescomplemented
45#14583591C2214yescomplemented
46#14583590C2214yescomplemented
47#14583589C2214yescomplemented
48#14583587C2218yescomplemented
49#14583587C2214yescomplemented
50#14583585C2218yescomplemented
51#14583584C2214yescomplemented
52#14583584C2214yescomplemented
53#14583583C2218yescomplemented
54#14583581C2218yescomplemented
55#14583578C2218yescomplemented
56#14583577C2218yescomplemented
57#14583576C2218yescomplemented
58#14583576C2218yescomplemented
59#14583574C2218yescomplemented
60#14583573C2218yescomplemented
61#14583572C2218yescomplemented
62#14583572C2218yescomplemented
63#14583553C2214yescomplemented
64#14583550C2214yescomplemented
65#14583549C2214yescomplemented
66#14583544C2218yescomplemented
67#14583541C2218yescomplemented
68#14583538C2218yescomplemented
69#14583537C2218yescomplemented
70#14583530C2211yescharacteristic, complemented
71#14583529C2214yescomplemented
72#14583527C2212yescomplemented
73#14583526C2214yescomplemented
74#14583524C2214yes—
75#14583519C2218yescomplemented
76#14583515C2218yescomplemented
77#14583508C2218yescomplemented
78#14583501C2218yescomplemented
79#14583496C2214yescomplemented
80#14583493C2218yescomplemented
81#14583489C2214yescomplemented
82#14583486C2214yescomplemented
83#14583482C2218yescomplemented
84#14583480C2211yescharacteristic, complemented
85#14583477C2212yescomplemented
86#14583472C2214yescomplemented
87#14583465C2214yescomplemented
88#14583457C2214yes—
89#14583455C2214yescomplemented
90#14583454C2214yescomplemented
91#14583452C2214yescomplemented
92#14583451C2214yescomplemented
93#14583451C2214yescomplemented
94#14583445C2214yescomplemented
95#14583444C2214yescomplemented
96#14583444C2214yescomplemented
97#14583435C2214yescomplemented
98#14583435C2214yescomplemented
99#14583435C2218yescomplemented
100#14583434C2218yescomplemented
101#14583432C2218yescomplemented
102#14583430C2214yescomplemented
103#14583430C2214yescomplemented
104#14583429C2218yescomplemented
105#14583429C2218yescomplemented
106#14583426C2218yescomplemented
107#14583426C2218yescomplemented
108#14583426C2218yescomplemented
109#14583412C2212yes—
110#14583412C2212yes—
111#14583412C2214yescomplemented
112#14583411C2212yescomplemented
113#14583410C2212yescomplemented
114#14583410C2214yescomplemented
115#14583409C2212yes—
116#14583409C2212yes—
117#14583409C2214yescomplemented
118#14583408C2214yes—
119#14583408C2214yes—
120#14583407C2214yescomplemented
121#14583406C2212yescomplemented
122#14583405C2218yescomplemented
123#14583405C2214yescomplemented
124#123×D43C2214yes—
125C22⋊Q8×D43C2212yescomplemented
126C22⋊Q8×D43C2212yescomplemented
127#121×D43C2212yescomplemented
128#121×D43C2212yescomplemented
129#120×D43C2214yes—
130#14583382C2212yescomplemented
131#14583380C2212yescomplemented
132#14583380C2214yescomplemented
133#14583379C2212yescomplemented
134#14583379C2214yescomplemented
135#14583375C2214yescomplemented
136#14583371C2218yes—
137#14583371C2214yescomplemented
138#41×Dic43C2214yescomplemented
139C4×#10621902C2214yescomplemented
140#14583367C2214yescomplemented
141C4×#10621900C2218yescomplemented
142C4×#10621900C2218yescomplemented
143C4×#10621900C2214yescomplemented
144C4×D4×D43C2214yescomplemented
145C4×D4×D43C2214yescomplemented
146C2×#13063283C2212yes—
147C2×#13063283C2211yescharacteristic
148C2×#13063283C2211yescharacteristic
149C2×#13063283C2211yescharacteristic, complemented
150C2×#13063283C2211yescharacteristic, complemented
151C2×#13063283C2214yescomplemented
152C2×#13063283C2214yescomplemented
153C2×#13063283C2214yescomplemented
154C2×#13063283C2214yescomplemented
155C2×#13063283C2212yescomplemented
156C2×#13063283C2214yescomplemented
157#117×D43C2212yes—
158#117×D43C2214yescomplemented
159C22×C4⋊Dic43C2211yescharacteristic, complemented
160C22×(C2×D43)⋊C4C2212yes—
161C22×C4×Dic43C2212yescomplemented
162C43×#554C2214yescomplemented
163C43×#553C2214yescomplemented
164C43×#552C2214yescomplemented
165C43×#547C2214yescomplemented
166C43×#544C2211yescharacteristic, complemented
167C43×#539C2214yescomplemented
168C43×#537C2211yescharacteristic, complemented
169C43×#525C2212yescomplemented
170C43×#525C2214yescomplemented
171C43×#520C2212yescomplemented
172C22×C4⋊C4×C43C2211yescharacteristic, complemented
173C24×D43C2311yescharacteristic
174C2×#10621902C2312yes—
175C2×#10621898C2314yes—
176C2×#10621898C2312yes—
177C2×#10621898C2314yes—
178C2×#10621900C2314yes—
179C2×#10621900C2312yes—
180C2×#10621900C2318yes—
181#41×D43—216no—
182C2×Q8×D43C2312yes—
183C2×D4×D43C2314yes—
184C2×D4×D43C2312yes—
185C2×D4×D43C2314yes—
186C2×D4×D43C2314yes—
187C23×Dic43C2311yescharacteristic
188C23×Dic43C2312yes—
189C22×C4×D43—28no—
190C22×C4×D43C2314yes—
191C22×C4×D43C2311yescharacteristic
192C22×C4×D43C2312yes—
193C22×C4×D43C2312yes—
194C22×C4×D43C2312yes—
195C22×C4×D43C2312yes—
196C22×C4×D43C2311yescharacteristic
197C22×C4×D43C2311yescharacteristic
198C22×C4×D43C2311yescharacteristic
199#13063325C2314yescomplemented
200#13063324C2314yescomplemented
201#13063324C2314yescomplemented
202#13063324C2314yescomplemented
203#13063324C2314yescomplemented
204#13063323C2314yescomplemented
205#13063321C2314yescomplemented
206#13063320C2318yes—
207#13063320C2318yes—
208#13063320C2318yes—
209#13063320C2318yescomplemented
210#13063320C2318yescomplemented
211#13063320C2318yescomplemented
212#13063320C2318yescomplemented
213#13063319C2318yes—
214#13063318C2318yescomplemented
215#13063318C2318yescomplemented
216#13063318C2318yescomplemented
217#13063317C2314yescomplemented
218#13063316C2318yescomplemented
219#13063316C2314yescomplemented
220#13063316C2314yescomplemented
221#13063316C2314yescomplemented
222#13063316C2314yescomplemented
223#13063315C2318yescomplemented
224#13063315C2318yescomplemented
225#13063315C2318yescomplemented
226#13063315C2318yescomplemented
227#13063314C2318yes—
228#13063314C2314yescomplemented
229#13063313C2318yes—
230#13063312C2314yescomplemented
231#13063311C2318yes—
232#13063311C2318yes—
233#13063311C2318yescomplemented
234#13063311C2318yescomplemented
235#13063310C2318yes—
236#13063310C2318yes—
237#13063310C2314yes—
238#13063310C2314yes—
239#13063310C2318yes—
240#13063310C2318yescomplemented
241#13063309C2318yes—
242#13063309C2318yes—
243#13063309C2314yes—
244#13063309C2318yescomplemented
245#13063308C2318yes—
246#13063308C2318yes—
247#13063308C2314yes—
248#13063307C2314yes—
249#13063307C2318yes—
250#13063307C2314yes—
251#13063307C2318yescomplemented
252#13063306C2318yes—
253#13063306C2314yes—
254#13063305C2318yes—
255#13063305C2312yes—
256#13063305C2312yes—
257#13063305C2318yescomplemented
258#13063305C2314yescomplemented
259#13063304C2314yes—
260#13063304C2312yes—
261#13063304C2312yes—
262#13063304C2314yes—
263#13063304C2314yescomplemented
264#13063303C2318yes—
265#13063303C2318yes—
266#13063303C2314yes—
267#13063303C2314yes—
268#13063303C2318yescomplemented
269#13063302C2318yes—
270#13063302C2314yes—
271#13063302C2314yes—
272#13063302C2318yes—
273#13063302C2318yescomplemented
274#13063301C2318yes—
275#13063301C2312yes—
276#13063301C2312yes—
277#13063301C2314yescomplemented
278#13063300C2312yes—
279#13063300C2312yes—
280#13063300C2318yes—
281#13063300C2314yescomplemented
282#13063299C2312yes—
283#13063299C2312yes—
284#13063299C2314yes—
285#13063299C2318yes—
286#13063299C2314yes—
287#13063299C2314yescomplemented
288#13063298C2318yes—
289#13063298C2314yes—
290#13063298C2314yes—
291#13063297C2318yes—
292#13063297C2318yes—
293#13063297C2314yes—
294#13063297C2314yes—
295#13063297C2318yes—
296#13063296C2312yes—
297#13063296C2312yes—
298#13063296C2314yescomplemented
299#13063295C2314yes—
300#13063295C2318yes—
301#13063295C2314yes—
302#13063295C2314yes—
303#13063294C2314yes—
304#13063293C2314yes—
305#13063293C2318yes—
306#13063293C2314yes—
307#13063293C2314yes—
308Q8×Dic43C2314yescomplemented
309Q8×Dic43C2314yescomplemented
310Q8×Dic43C2314yescomplemented
311C4×Dic86C2318yescomplemented
312C4×Dic86C2314yescomplemented
313C4×Dic86C2318yescomplemented
314#13063290C2314yescomplemented
315#13063290C2314yescomplemented
316#13063290C2318yescomplemented
317#13063290C2318yescomplemented
318#13063290C2314yescomplemented
319C4×D172C2318yes—
320C4×D172C2314yes—
321C4×D172C2314yes—
322C4×D172C2314yescomplemented
323D4×Dic43C2318yes—
324D4×Dic43C2314yes—
325D4×Dic43C2314yes—
326D4×Dic43C2318yes—
327D4×Dic43C2314yescomplemented
328D4×Dic43C2314yescomplemented
329D4×Dic43C2314yescomplemented
330#13063287C2318yes—
331#13063287C2314yes—
332#13063287C2314yes—
333#13063287C2314yescomplemented
334#13063287C2314yescomplemented
335#13063287C2314yescomplemented
336C4×C22⋊D43C2318yes—
337C4×C22⋊D43C2318yes—
338C4×C22⋊D43C2314yes—
339C4×C22⋊D43C2314yes—
340C4×C22⋊D43C2314yes—
341C4×C22⋊D43C2314yes—
342C4×C22⋊D43C2318yes—
343C4×C22⋊D43C2318yescomplemented
344C4×C22⋊D43C2318yescomplemented
345(C22⋊D43)⋊C4C2318yes—
346(C22⋊D43)⋊C4C2318yes—
347(C22⋊D43)⋊C4C2314yes—
348(C22⋊D43)⋊C4C2314yes—
349(C22⋊D43)⋊C4C2314yes—
350(C22⋊D43)⋊C4C2314yes—
351(C22⋊D43)⋊C4C2318yes—
352(C22⋊D43)⋊C4C2318yescomplemented
353(C22⋊D43)⋊C4C2318yescomplemented
354#13063284C2314yes—
355#13063284C2312yes—
356#13063284C2318yescomplemented
357#13063284C2314yescomplemented
358#13063283C2318yes—
359#13063283C2318yes—
360#13063283C2318yes—
361#13063283C2314yes—
362#13063283C2314yes—
363#13063283C2314yes—
364#13063283C2314yes—
365#13063283C2312yes—
366#13063283C2312yes—
367#13063283C2314yes—
368#13063283C2314yes—
369#13063283C2314yes—
370#13063283C2314yes—
371#13063283C2318yes—
372#13063283C2318yes—
373#13063283C2318yescomplemented
374#13063283C2314yescomplemented
375#13063283C2314yescomplemented
376#13063283C2318yescomplemented
377#13063282C2318yes—
378#13063282C2314yes—
379#13063282C2318yescomplemented
380#13063281C2318yes—
381#13063281C2314yes—
382#13063281C2318yescomplemented
383#13063281C2318yescomplemented
384C2×C4⋊Dic43C2314yes—
385C2×C4⋊Dic43C2314yes—
386C2×C4⋊Dic43C2311yescharacteristic
387C2×C4⋊Dic43C2311yescharacteristic
388C2×C4⋊Dic43C2312yes—
389C2×C4⋊Dic43C2314yescomplemented
390C4⋊C4×D43C2314yes—
391C4⋊C4×D43C2314yes—
392C4⋊C4×D43C2312yes—
393C4⋊C4×D43C2312yes—
394C4⋊C4×D43C2314yescomplemented
395C4⋊C4×D43C2314yescomplemented
396C2×(C2×D43)⋊C4C2318yes—
397C2×(C2×D43)⋊C4C2318yes—
398C2×(C2×D43)⋊C4C2318yes—
399C2×(C2×D43)⋊C4C2312yes—
400C2×(C2×D43)⋊C4C2312yes—
401C2×(C2×D43)⋊C4C2312yes—
402C2×(C2×D43)⋊C4C2312yes—
403C22⋊C4×D43C2314yes—
404C22⋊C4×D43C2314yes—
405C22⋊C4×D43C2318yes—
406C22⋊C4×D43C2314yes—
407C22⋊C4×D43C2314yes—
408C22⋊C4×D43C2314yes—
409C2×C4×Dic43C2312yes—
410C2×C4×Dic43C2312yes—
411C2×C4×Dic43C2312yes—
412C2×C4×Dic43C2312yes—
413C2×C4×Dic43C2314yes—
414C2×C4×Dic43C2314yes—
415C2×C4×Dic43C2314yes—
416C2×C4×Dic43C2314yes—
417C2×C4×Dic43C2318yescomplemented
418C42×D43C2314yes—
419C42×D43C2318yescomplemented
420C2×#41×C43C2312yes—
421C2×#41×C43C2314yes—
422C23×C4×C43C2311yescharacteristic
423C23×C4×C43C2312yes—
424C4⋊Q8×C43C2314yescomplemented
425#126×C43C2318yescomplemented
426#125×C43C2318yescomplemented
427#125×C43C2314yescomplemented
428#123×C43C2318yes—
429#123×C43C2314yes—
430#123×C43C2318yescomplemented
431C22⋊Q8×C43C2314yes—
432C22⋊Q8×C43C2312yes—
433C22⋊Q8×C43C2314yes—
434C22⋊Q8×C43C2312yes—
435C22⋊Q8×C43C2318yescomplemented
436C22⋊Q8×C43C2314yescomplemented
437#121×C43C2314yes—
438#121×C43C2312yes—
439#121×C43C2312yes—
440#121×C43C2314yes—
441#121×C43C2314yescomplemented
442#120×C43C2314yes—
443C4×Q8×C43C2314yescomplemented
444C4×D4×C43C2314yes—
445C4×D4×C43C2318yes—
446C4×D4×C43C2318yes—
447C4×D4×C43C2314yes—
448C4×D4×C43C2314yescomplemented
449#117×C43C2314yes—
450#117×C43C2312yes—
451#117×C43C2314yescomplemented
452C2×C4⋊C4×C43C2311yescharacteristic
453C2×C4⋊C4×C43C2314yes—
454C2×C4⋊C4×C43C2311yescharacteristic
455C2×C4⋊C4×C43C2312yes—
456C2×C4⋊C4×C43C2314yes—
457C2×C4⋊C4×C43C2314yescomplemented
458C24×C43C2411yescharacteristic
459C23×D43—24no—
460C23×D43—42no—
461C23×D43—42no—
462C23×D43C2412yes—
463C23×D43C2412yes—
464C23×D43C2414yes—
465C23×D43C2411yescharacteristic
466C23×D43C2411yescharacteristic
467#41×C43—28no—
468#41×C43—48no—
469C2×Q8×C43C2412yes—
470C2×Q8×C43C2414yes—
471C2×D4×C43C2414yes—
472C2×D4×C43C2414yes—
473C2×D4×C43C2414yes—
474C2×D4×C43C2412yes—
475C2×D4×C43C2414yes—
476C22×C4×C43—24no—
477C22×C4×C43—44no—
478C22×C4×C43C2414yes—
479C22×C4×C43C2412yes—
480C22×C4×C43C2412yes—
481C22×C4×C43C2411yescharacteristic
482C22×C4×C43C2414yes—
483C22×C4×C43C2412yes—
484C22×C4×C43C2414yes—
485C22×C4×C43C2412yes—
486C22×C4×C43C2418yes—
487C22×C4×C43C2411yescharacteristic
488C2×C22⋊D43C2414yes—
489C2×C22⋊D43C2414yes—
490C2×C22⋊D43C2414yes—
491C2×C22⋊D43C2414yes—
492C2×C22⋊D43C2414yes—
493C2×C22⋊D43C2414yes—
494C2×C22⋊D43C2414yes—
495C2×C22⋊D43C2418yes—
496C22×Dic43—24no—
497C22×Dic43—44no—
498C22×Dic43C2411yescharacteristic
499C22×Dic43C2411yescharacteristic
500C22×Dic43C2411yescharacteristic
501C22×Dic43C2411yescharacteristic
502C22×Dic43C2411yescharacteristic
503C22×Dic43C2414yes—
504C22×Dic43C2414yes—
505C22×Dic43C2412yes—
506C22×Dic43C2414yes—
507C22×Dic43C2412yes—
508C22×Dic43C2418yes—
509C22×Dic43C2411yescharacteristic
510#10621902—28no—
511Q8×D43—28no—
512#10621900—216no—
513#10621900—28no—
514#10621900—416no—
515D4×D43—28no—
516D4×D43—216no—
517D4×D43—48no—
518D4×D43—48no—
519#10621898—28no—
520#10621898—216no—
521#10621898—48no—
522C2×D172C2414yes—
523C2×D172C2412yes—
524C2×D172C2414yes—
525C2×D172C2414yes—
526C2×D172C2414yes—
527C2×C4×D43—24no—
528C2×C4×D43—24no—
529C2×C4×D43—28no—
530C2×C4×D43—28no—
531C2×C4×D43—28no—
532C2×C4×D43—28no—
533C2×C4×D43—216no—
534C2×C4×D43—24no—
535C2×C4×D43#4118yescomplemented
536C2×C4×D43C2414yes—
537C2×C4×D43C2414yes—
538C2×C4×D43C2412yes—
539C2×C4×D43C2412yes—
540C2×C4×D43C2414yes—
541C2×C4×D43C2412yes—
542C2×C4×D43C2412yes—
543C2×C4×D43C2412yes—
544C2×C4×D43C2412yes—
545C2×C4×D43C2414yes—
546C2×C4×D43C2414yes—
547C2×C4×D43C2418yes—
548C2×C4×D43C2418yes—
549C2×C4×D43C2412yes—
550C2×C4×D43C2412yes—
551C2×Dic86C2414yes—
552C2×Dic86C2412yes—
553C2×Dic86C2414yes—
554C2×Dic86C2418yes—
555C4⋊C4×C43C2414yes—
556C4⋊C4×C43C2414yes—
557C4⋊C4×C43C2418yes—
558C4⋊C4×C43C2412yes—
559C4⋊C4×C43C2418yes—
560C4⋊C4×C43C2412yes—
561C4⋊C4×C43C2414yes—
562C4⋊C4×C43C2414yes—
563C4⋊C4×C43C2414yes—
564C4⋊C4×C43C2418yes—
565C4⋊C4×C43C2414yes—
566C22⋊C4×C43C2414yes—
567C22⋊C4×C43C2414yes—
568C22⋊C4×C43C2418yes—
569C22⋊C4×C43C2414yes—
570C22⋊C4×C43C2418yes—
571C22⋊C4×C43C2414yes—
572C22⋊C4×C43C2414yes—
573C42×C43C2418yes—
574C42×C43C2414yes—
575C22⋊Dic43C2414yes—
576C22⋊Dic43C2414yes—
577C22⋊Dic43C2414yes—
578C22⋊Dic43C2418yes—
579C22⋊Dic43C2414yes—
580C22⋊Dic43C2414yes—
581C22⋊Dic43C2418yes—
582(C2×D43)⋊C4C2414yes—
583(C2×D43)⋊C4C2418yes—
584(C2×D43)⋊C4C2414yes—
585(C2×D43)⋊C4C2414yes—
586(C2×D43)⋊C4C2414yes—
587(C2×D43)⋊C4C2414yes—
588(C2×D43)⋊C4C2414yes—
589(C2×D43)⋊C4C2414yes—
590(C2×D43)⋊C4C2414yes—
591(C2×D43)⋊C4C2414yes—
592(C2×D43)⋊C4C2414yes—
593(C2×D43)⋊C4C2418yes—
594(C2×D43)⋊C4C2418yes—
595(C2×D43)⋊C4C2418yes—
596(C2×D43)⋊C4C2418yes—
597(C2×D43)⋊C4C2418yes—
598(C2×D43)⋊C4C2418yes—
599(C2×D43)⋊C4C2418yes—
600C4⋊Dic43C2412yes—
601C4⋊Dic43C2412yes—
602C4⋊Dic43C2414yes—
603C4⋊Dic43C2414yes—
604C4⋊Dic43C2414yes—
605C4⋊Dic43C2414yes—
606C4⋊Dic43C2418yes—
607C4⋊Dic43C2418yes—
608C4⋊Dic43C2414yes—
609C4⋊Dic43C2414yes—
610C4⋊Dic43C2418yes—
611Dic43⋊C4C2414yes—
612Dic43⋊C4C2414yes—
613Dic43⋊C4C2414yes—
614Dic43⋊C4C2414yes—
615Dic43⋊C4C2414yes—
616Dic43⋊C4C2414yes—
617Dic43⋊C4C2418yes—
618Dic43⋊C4C2418yes—
619Dic43⋊C4C2418yes—
620Dic43⋊C4C2418yes—
621Dic43⋊C4C2418yes—
622Dic43⋊C4C2418yes—
623C4×Dic43C2414yes—
624C4×Dic43C2414yes—
625C4×Dic43C2414yes—
626C4×Dic43C2414yes—
627C4×Dic43C2418yes—
628C4×Dic43C2414yes—
629C4×Dic43C2414yes—
630C4×Dic43C2414yes—
631C4×Dic43C2414yes—
632C4×Dic43C2414yes—
633C4×Dic43C2414yes—
634C4×Dic43C2414yes—
635C4×Dic43C2418yes—
636C4×Dic43C2418yes—
637C23×C43—22no—
638C23×C43—22no—
639C23×C43—22no—
640C23×C43C2514yes—
641C23×C43C2511yescharacteristic
642C23×C43C2511yescharacteristic
643C23×C43C2511yescharacteristic
644C22×D43—22no—
645C22×D43—24no—
646C22×D43—24no—
647C22×D43—24no—
648C22×D43—24no—
649C22×D43—28no—
650C22×D43—41no—
651C22×D43—41no—
652C22×D43—42no—
653C22×D43—42no—
654C22×D43—41no—
655C22×D43—41no—
656C22×D43—44no—
657C22×D43—44no—
658C22×D43—416no—
659C22×D43C2×#4114yes—
660C22×D43C2512yes—
661C22×D43C2514yes—
662C22×D43C2512yes—
663Q8×C43—24no—
664Q8×C43—44no—
665D4×C43—28no—
666D4×C43—28no—
667D4×C43—28no—
668D4×C43—24no—
669D4×C43—44no—
670C2×C4×C43—22no—
671C2×C4×C43—28no—
672C2×C4×C43—24no—
673C2×C4×C43—24no—
674C2×C4×C43—28no—
675C2×C4×C43—42no—
676C2×C4×C43—44no—
677C2×C4×C43—42no—
678C2×C4×C43—48no—
679C2×C4×C43C2×#4114yes—
680C2×C4×C43C2514yes—
681C2×C4×C43C2514yes—
682C2×C4×C43C2514yes—
683C2×C4×C43C2514yes—
684C2×C4×C43C2514yes—
685C2×C4×C43C2512yes—
686C2×C4×C43C2512yes—
687C22⋊D43—28no—
688C22⋊D43—28no—
689C22⋊D43—28no—
690C22⋊D43—28no—
691C22⋊D43—28no—
692C22⋊D43—44no—
693C22⋊D43—44no—
694C22⋊D43—48no—
695C2×Dic43—22no—
696C2×Dic43—28no—
697C2×Dic43—22no—
698C2×Dic43—22no—
699C2×Dic43—22no—
700C2×Dic43—22no—
701C2×Dic43—28no—
702C2×Dic43—48no—
703C2×Dic43—42no—
704C2×Dic43—44no—
705C2×Dic43—42no—
706C2×Dic43C2×#4114yes—
707C2×Dic43C2511yescharacteristic
708C2×Dic43C2511yescharacteristic
709C2×Dic43C2514yes—
710C2×Dic43C2514yes—
711C2×Dic43C2514yes—
712C2×Dic43C2514yes—
713C2×Dic43C2514yes—
714C2×Dic43C2511yescharacteristic
715C2×Dic43C2511yescharacteristic
716D172—28no—
717D172—24no—
718D172—44no—
719D172—44no—
720D172—44no—
721C4×D43—24no—
722C4×D43—24no—
723C4×D43—28no—
724C4×D43—24no—
725C4×D43—24no—
726C4×D43—28no—
727C4×D43—24no—
728C4×D43—24no—
729C4×D43—28no—
730C4×D43—48no—
731C4×D43—44no—
732C4×D43—44no—
733C4×D43—48no—
734C4×D43C2×#4118yes—
735C4×D43C2×#4118yes—
736Dic86—24no—
737Dic86—28no—
738Dic86—44no—
739Dic86—48no—
740#62814—431nomaximal, Sylow
741C22×C43—28no—
742C22×C43—21no—
743C22×C43—21no—
744C22×C43—21no—
745C22×C43—21no—
746C22×C43—21no—
747C22×C43—21no—
748C22×C43—24no—
749C22×C43—24no—
750C22×C43—24no—
751C22×C43C22×#4112yes—
752C22×C43#58512yes—
753C22×C43#58512yes—
754C22×C43C2611yescharacteristic
755C2×D43—22no—
756C2×D43—22no—
757C2×D43—22no—
758C2×D43—24no—
759C2×D43—22no—
760C2×D43—22no—
761C2×D43—24no—
762C2×D43—24no—
763C2×D43—44no—
764C2×D43—48no—
765C2×D43—48no—
766C2×D43—44no—
767C2×D43—88no—
768C2×D43C22×#4114yes—
769C4×C43—24no—
770C4×C43—22no—
771C4×C43—24no—
772C4×C43—24no—
773C4×C43—24no—
774C4×C43—24no—
775C4×C43C22×#4114yes—
776Dic43—24no—
777Dic43—21no—
778Dic43—21no—
779Dic43—24no—
780Dic43—24no—
781Dic43—24no—
782Dic43—24no—
783Dic43C22×#4112yes—
784Dic43C22×#4112yes—
785#3495—434no—
786#3495—434no—
787#3494—434no—
788#3494—434no—
789#3493—431no—
790#3493—431no—
791#3493—432no—
792#3492—432no—
793#3492—431no—
794#3492D4311yescharacteristic, complemented
795#3491—434no—
796#3490—434no—
797#3475—434no—
798#3475—434no—
799#3475—434no—
800#3475—434no—
801#3458—431no—
802#3455—434no—
803#3449—431no—
804#3444—434no—
805C2×#525—432no—
806#3428—432no—
807C22×#117—431no—
808C2×C43—22no—
809C2×C43—22no—
810C2×C43—22no—
811C2×C43—44no—
812C2×C43C23×#4111yescharacteristic
813C2×C43C2×#58511yescharacteristic
814C2×C43C2×#58511yescharacteristic
815D43—24no—
816D43—42no—
817D43—44no—
818C22×#41—432no—
819C24×C4—431no—
820#556—434no—
821#556—434no—
822#556—434no—
823#556—434no—
824#555—434no—
825#555—434no—
826#555—434no—
827#555—434no—
828#554—434no—
829#554—434no—
830#554—434no—
831#554C2×D4314yescomplemented
832#553—434no—
833#553—434no—
834#553—434no—
835#553—434no—
836#553—434no—
837#553—434no—
838#553—434no—
839#553C2×D4314yescomplemented
840#552—438no—
841#552—438no—
842#552—438no—
843#552—434no—
844#552—434no—
845#552—438no—
846#552—434no—
847#552—434no—
848#552—434no—
849#552—434no—
850#552—434no—
851#552C2×D4314yescomplemented
852#551—438no—
853#551—438no—
854#551—438no—
855#551—438no—
856#551—438no—
857#551—438no—
858#551—438no—
859#551—438no—
860#547—434no—
861#547—434no—
862#547—434no—
863#547C2×D4314yescomplemented
864#546—438no—
865#546—438no—
866#546—438no—
867#546—438no—
868#544—434no—
869#544—434no—
870#544—432no—
871#544—431no—
872#544C2×D4311yescharacteristic, complemented
873#543—434no—
874#542—438no—
875#542—438no—
876#541—438no—
877#540—438no—
878#539—438no—
879#539—434no—
880#539C2×D4314yescomplemented
881#538—434no—
882#538—434no—
883#538—438no—
884#537—432no—
885#537—431no—
886#537C2×D4311yescharacteristic, complemented
887#536—434no—
888#535—434no—
889#534—434no—
890#533—434no—
891#533—434no—
892#533—434no—
893#533—434no—
894#533—434no—
895#532—434no—
896#532—434no—
897#532—434no—
898#529—438no—
899#529—438no—
900#529—438no—
901#529—438no—
902#529—438no—
903#529—434no—
904#529—434no—
905#529—438no—
906#529—434no—
907#529—434no—
908#529—438no—
909#529—438no—
910#525—432no—
911#525—432no—
912#525—434no—
913#525—434no—
914#525—432no—
915#525—432no—
916#525—434no—
917#525—432no—
918#525—432no—
919#525—434no—
920#525—434no—
921#525—438no—
922#525—434no—
923#525—434no—
924#525—432no—
925#525C2×D4312yescomplemented
926#525C2×D4314yescomplemented
927C2×#123—434no—
928C2×C22⋊Q8—432no—
929C2×C22⋊Q8—432no—
930C2×#121—432no—
931C2×#121—432no—
932C2×#120—434no—
933#520—432no—
934#520—432no—
935#520—434no—
936#520—432no—
937#520—434no—
938#520C2×D4312yescomplemented
939#519—434no—
940#518—438no—
941#518—434no—
942C4×#41—434no—
943C4×#41—434no—
944C4×#41—438no—
945C4×#41—438no—
946C4×#41—434no—
947C4×#41—434no—
948C2×C4×D4—434no—
949C2×C4×D4—434no—
950C2×#117—432no—
951C2×#117—434no—
952C2×#117—431no—
953C2×#117—431no—
954C2×#117—432no—
955C2×#117—432no—
956C2×#117—434no—
957C2×#117—434no—
958C2×#117—431no—
959C2×#117—431no—
960C2×#117—434no—
961C2×#117—434no—
962C2×#117—434no—
963C22×C4⋊C4—431no—
964C22×C4⋊C4C2×D4311yescharacteristic, complemented
965C22×C22⋊C4—432no—
966C22×C42—432no—
967C43#6281411yescharacteristic, complemented, Sylow
968C25—431no—
969C2×#41—432no—
970C2×#41—432no—
971C2×#41—434no—
972C2×#41—438no—
973C2×#41—434no—
974C2×#41—432no—
975C2×#41—434no—
976C2×#41—8616no—
977C2×#41C22×D4312yes—
978C2×#41C22×D4314yes—
979C22×Q8—432no—
980C22×D4—434no—
981C22×D4—432no—
982C22×D4—434no—
983C22×D4—434no—
984C23×C4—431no—
985C23×C4—431no—
986C23×C4—432no—
987C23×C4—432no—
988C23×C4—432no—
989C23×C4—434no—
990C23×C4—432no—
991C23×C4—432no—
992C23×C4—431no—
993C23×C4—431no—
994C23×C4—431no—
995C23×C4—868no—
996C23×C4C22×D4311yescharacteristic
997C23×C4C22×D4312yes—
998C4⋊Q8—434no—
999C4⋊Q8—434no—
1000C4⋊Q8—434no—
1001C4⋊Q8—434no—
1002C4⋊Q8—434no—
1003C4⋊Q8—434no—
1004C4⋊Q8C22×D4314yescomplemented
1005#127—434no—
1006#126—438no—
1007#126—438no—
1008#126—438no—
1009#126—438no—
1010#126—438no—
1011#126—438no—
1012#126—438no—
1013#126—438no—
1014#126—438no—
1015#126—438no—
1016#126—438no—
1017#126C22×D4318yescomplemented
1018#125—438no—
1019#125—438no—
1020#125—434no—
1021#125—434no—
1022#125—438no—
1023#125—438no—
1024#125—438no—
1025#125—434no—
1026#125—434no—
1027#125—434no—
1028#125C22×D4318yescomplemented
1029#125C22×D4314yescomplemented
1030#124—434no—
1031#124—438no—
1032#124—434no—
1033#124—438no—
1034#124—438no—
1035#124—438no—
1036#124—438no—
1037#124—438no—
1038#123—434no—
1039#123—438no—
1040#123—434no—
1041#123—438no—
1042#123—438no—
1043#123—434no—
1044#123—434no—
1045#123—438no—
1046#123—438no—
1047#123—438no—
1048#123—438no—
1049#123—434no—
1050#123—434no—
1051#123—434no—
1052#123—438no—
1053#123—438no—
1054#123—438no—
1055#123—438no—
1056#123—438no—
1057#123C22×D4314yes—
1058#123C22×D4318yes—
1059#123C22×D4318yescomplemented
1060C22⋊Q8—432no—
1061C22⋊Q8—432no—
1062C22⋊Q8—434no—
1063C22⋊Q8—438no—
1064C22⋊Q8—432no—
1065C22⋊Q8—432no—
1066C22⋊Q8—434no—
1067C22⋊Q8—434no—
1068C22⋊Q8—434no—
1069C22⋊Q8—434no—
1070C22⋊Q8—434no—
1071C22⋊Q8—432no—
1072C22⋊Q8—432no—
1073C22⋊Q8—434no—
1074C22⋊Q8—438no—
1075C22⋊Q8—438no—
1076C22⋊Q8—438no—
1077C22⋊Q8—438no—
1078C22⋊Q8—438no—
1079C22⋊Q8—434no—
1080C22⋊Q8—434no—
1081C22⋊Q8—438no—
1082C22⋊Q8—438no—
1083C22⋊Q8—438no—
1084C22⋊Q8C22×D4312yes—
1085C22⋊Q8C22×D4312yes—
1086C22⋊Q8C22×D4314yes—
1087C22⋊Q8C22×D4314yes—
1088C22⋊Q8C22×D4314yescomplemented
1089C22⋊Q8C22×D4318yescomplemented
1090#121—434no—
1091#121—434no—
1092#121—432no—
1093#121—432no—
1094#121—438no—
1095#121—438no—
1096#121—434no—
1097#121—438no—
1098#121—432no—
1099#121—432no—
1100#121—434no—
1101#121—434no—
1102#121—434no—
1103#121—438no—
1104#121—432no—
1105#121—432no—
1106#121—434no—
1107#121—438no—
1108#121—434no—
1109#121—434no—
1110#121—438no—
1111#121C22×D4312yes—
1112#121C22×D4312yes—
1113#121C22×D4314yes—
1114#121C22×D4314yes—
1115#121C22×D4314yescomplemented
1116#120—434no—
1117#120—434no—
1118#120—434no—
1119#120—434no—
1120#120—438no—
1121#120—434no—
1122#120—434no—
1123#120—434no—
1124#120—438no—
1125#120C22×D4314yes—
1126C4×Q8—434no—
1127C4×Q8—434no—
1128C4×Q8—434no—
1129C4×Q8—438no—
1130C4×Q8—434no—
1131C4×Q8—438no—
1132C4×Q8—434no—
1133C4×Q8—434no—
1134C4×Q8—438no—
1135C4×Q8—434no—
1136C4×Q8—438no—
1137C4×Q8C22×D4314yescomplemented
1138C4×D4—434no—
1139C4×D4—434no—
1140C4×D4—438no—
1141C4×D4—434no—
1142C4×D4—434no—
1143C4×D4—438no—
1144C4×D4—434no—
1145C4×D4—434no—
1146C4×D4—434no—
1147C4×D4—434no—
1148C4×D4—434no—
1149C4×D4—438no—
1150C4×D4—438no—
1151C4×D4—438no—
1152C4×D4—438no—
1153C4×D4—438no—
1154C4×D4—434no—
1155C4×D4—434no—
1156C4×D4—438no—
1157C4×D4—434no—
1158C4×D4—434no—
1159C4×D4—434no—
1160C4×D4—434no—
1161C4×D4—434no—
1162C4×D4—434no—
1163C4×D4—434no—
1164C4×D4—438no—
1165C4×D4—438no—
1166C4×D4—438no—
1167C4×D4—438no—
1168C4×D4—438no—
1169C4×D4—434no—
1170C4×D4—434no—
1171C4×D4—438no—
1172C4×D4—434no—
1173C4×D4C22×D4314yes—
1174C4×D4C22×D4314yes—
1175C4×D4C22×D4318yes—
1176C4×D4C22×D4318yes—
1177C4×D4C22×D4314yescomplemented
1178#117—432no—
1179#117—434no—
1180#117—434no—
1181#117—438no—
1182#117—434no—
1183#117—434no—
1184#117—432no—
1185#117—432no—
1186#117—434no—
1187#117—438no—
1188#117—434no—
1189#117—438no—
1190#117—438no—
1191#117—438no—
1192#117—434no—
1193#117—434no—
1194#117—434no—
1195#117—434no—
1196#117—438no—
1197#117—438no—
1198#117—434no—
1199#117—434no—
1200#117—438no—
1201#117—434no—
1202#117—438no—
1203#117—438no—
1204#117—438no—
1205#117—434no—
1206#117—438no—
1207#117—438no—
1208#117C22×D4312yes—
1209#117C22×D4314yes—
1210#117C22×D4314yescomplemented
1211C2×C4⋊C4—431no—
1212C2×C4⋊C4—431no—
1213C2×C4⋊C4—432no—
1214C2×C4⋊C4—434no—
1215C2×C4⋊C4—434no—
1216C2×C4⋊C4—434no—
1217C2×C4⋊C4—432no—
1218C2×C4⋊C4—432no—
1219C2×C4⋊C4—434no—
1220C2×C4⋊C4—434no—
1221C2×C4⋊C4—434no—
1222C2×C4⋊C4—434no—
1223C2×C4⋊C4C22×D4311yescharacteristic
1224C2×C4⋊C4C22×D4311yescharacteristic
1225C2×C4⋊C4C22×D4312yes—
1226C2×C4⋊C4C22×D4314yes—
1227C2×C4⋊C4C22×D4314yes—
1228C2×C4⋊C4C22×D4314yescomplemented
1229C2×C22⋊C4—432no—
1230C2×C22⋊C4—432no—
1231C2×C22⋊C4—432no—
1232C2×C22⋊C4—432no—
1233C2×C22⋊C4—438no—
1234C2×C22⋊C4—438no—
1235C2×C22⋊C4—438no—
1236C2×C22⋊C4—434no—
1237C2×C22⋊C4—438no—
1238C2×C22⋊C4—434no—
1239C2×C22⋊C4—434no—
1240C2×C22⋊C4—434no—
1241C2×C22⋊C4—434no—
1242C2×C42—432no—
1243C2×C42—434no—
1244C2×C42—434no—
1245C2×C42—432no—
1246C2×C42—432no—
1247C2×C42—434no—
1248C2×C42—434no—
1249C2×C42—432no—
1250C2×C42—438no—
1251C2×C42—434no—
1252C2×C42—438no—
1253C24—431no—
1254C24—432no—
1255C24—432no—
1256C24—434no—
1257C24—431no—
1258C24—864no—
1259C24—1722no—
1260C24—1722no—
1261C24C23×D4311yescharacteristic
1262#41—28no—
1263#41—48no—
1264#41—8616no—
1265#41—8616no—
1266#41—868no—
1267#41—868no—
1268#41—868no—
1269#41—1728no—
1270#41—17216no—
1271C2×Q8—432no—
1272C2×Q8—434no—
1273C2×Q8—434no—
1274C2×Q8—438no—
1275C2×Q8—868no—
1276C2×Q8C23×D4312yes—
1277C2×Q8C23×D4314yes—
1278C2×D4—434no—
1279C2×D4—434no—
1280C2×D4—434no—
1281C2×D4—434no—
1282C2×D4—434no—
1283C2×D4—434no—
1284C2×D4—434no—
1285C2×D4—438no—
1286C2×D4—434no—
1287C2×D4—432no—
1288C2×D4—434no—
1289C2×D4—434no—
1290C2×D4—434no—
1291C2×D4—868no—
1292C2×D4—8616no—
1293C2×D4—1728no—
1294C2×D4—1728no—
1295C2×D4C23×D4314yes—
1296C2×D4C23×D4314yes—
1297C2×D4C23×D4312yes—
1298C2×D4C23×D4314yes—
1299C2×D4C23×D4314yes—
1300C22×C4—24no—
1301C22×C4—44no—
1302C22×C4—431no—
1303C22×C4—438no—
1304C22×C4—432no—
1305C22×C4—432no—
1306C22×C4—431no—
1307C22×C4—431no—
1308C22×C4—431no—
1309C22×C4—431no—
1310C22×C4—431no—
1311C22×C4—434no—
1312C22×C4—434no—
1313C22×C4—432no—
1314C22×C4—434no—
1315C22×C4—432no—
1316C22×C4—438no—
1317C22×C4—434no—
1318C22×C4—432no—
1319C22×C4—432no—
1320C22×C4—434no—
1321C22×C4—434no—
1322C22×C4—432no—
1323C22×C4—432no—
1324C22×C4—432no—
1325C22×C4—432no—
1326C22×C4—434no—
1327C22×C4—434no—
1328C22×C4—438no—
1329C22×C4—438no—
1330C22×C4—864no—
1331C22×C4—868no—
1332C22×C4—868no—
1333C22×C4—868no—
1334C22×C4—868no—
1335C22×C4—8616no—
1336C22×C4—864no—
1337C22×C4—864no—
1338C22×C4—864no—
1339C22×C4—1724no—
1340C22×C4C23×D4314yes—
1341C22×C4C23×D4312yes—
1342C22×C4C23×D4312yes—
1343C22×C4C23×D4311yescharacteristic
1344C22×C4C23×D4314yes—
1345C22×C4C23×D4312yes—
1346C22×C4C23×D4314yes—
1347C22×C4C23×D4312yes—
1348C22×C4C23×D4318yes—
1349C22×C4C23×D4311yescharacteristic
1350C4⋊C4—434no—
1351C4⋊C4—434no—
1352C4⋊C4—432no—
1353C4⋊C4—432no—
1354C4⋊C4—438no—
1355C4⋊C4—434no—
1356C4⋊C4—434no—
1357C4⋊C4—434no—
1358C4⋊C4—434no—
1359C4⋊C4—438no—
1360C4⋊C4—438no—
1361C4⋊C4—434no—
1362C4⋊C4—438no—
1363C4⋊C4—434no—
1364C4⋊C4—434no—
1365C4⋊C4—434no—
1366C4⋊C4—438no—
1367C4⋊C4—438no—
1368C4⋊C4—438no—
1369C4⋊C4—438no—
1370C4⋊C4—434no—
1371C4⋊C4—434no—
1372C4⋊C4—438no—
1373C4⋊C4C23×D4312yes—
1374C4⋊C4C23×D4314yes—
1375C4⋊C4C23×D4312yes—
1376C4⋊C4C23×D4314yes—
1377C4⋊C4C23×D4314yes—
1378C4⋊C4C23×D4314yes—
1379C4⋊C4C23×D4318yes—
1380C4⋊C4C23×D4318yes—
1381C4⋊C4C23×D4318yes—
1382C4⋊C4C23×D4314yes—
1383C4⋊C4C23×D4314yes—
1384C22⋊C4—434no—
1385C22⋊C4—434no—
1386C22⋊C4—434no—
1387C22⋊C4—438no—
1388C22⋊C4—434no—
1389C22⋊C4—434no—
1390C22⋊C4—438no—
1391C22⋊C4—438no—
1392C22⋊C4—438no—
1393C22⋊C4—434no—
1394C22⋊C4—434no—
1395C22⋊C4—438no—
1396C22⋊C4—438no—
1397C22⋊C4—438no—
1398C22⋊C4—434no—
1399C22⋊C4—434no—
1400C22⋊C4—438no—
1401C22⋊C4—434no—
1402C22⋊C4—434no—
1403C22⋊C4—434no—
1404C22⋊C4—434no—
1405C22⋊C4—434no—
1406C22⋊C4—434no—
1407C22⋊C4—438no—
1408C22⋊C4—438no—
1409C22⋊C4C23×D4314yes—
1410C22⋊C4C23×D4314yes—
1411C22⋊C4C23×D4318yes—
1412C22⋊C4C23×D4314yes—
1413C22⋊C4C23×D4314yes—
1414C22⋊C4C23×D4314yes—
1415C22⋊C4C23×D4318yes—
1416C42—434no—
1417C42—434no—
1418C42—434no—
1419C42—434no—
1420C42—434no—
1421C42—434no—
1422C42—434no—
1423C42—434no—
1424C42—434no—
1425C42—434no—
1426C42—438no—
1427C42—438no—
1428C42—438no—
1429C42—434no—
1430C42C23×D4318yes—
1431C42C23×D4314yes—
1432C23—22no—
1433C23—22no—
1434C23—22no—
1435C23—432no—
1436C23—434no—
1437C23—432no—
1438C23—434no—
1439C23—868no—
1440C23—864no—
1441C23—864no—
1442C23—862no—
1443C23—864no—
1444C23—864no—
1445C23—1724no—
1446C23—1724no—
1447C23—1721no—
1448C23—1722no—
1449C23—1721no—
1450C23—1721no—
1451C23—1722no—
1452C23—1721no—
1453C23—17216no—
1454C23C24×D4314yes—
1455C23C24×D4311yescharacteristic
1456C23C24×D4311yescharacteristic
1457C23C24×D4311yescharacteristic
1458Q8—24no—
1459Q8—44no—
1460Q8—868no—
1461Q8—864no—
1462Q8—1724no—
1463Q8—1728no—
1464D4—28no—
1465D4—28no—
1466D4—28no—
1467D4—24no—
1468D4—44no—
1469D4—868no—
1470D4—868no—
1471D4—868no—
1472D4—868no—
1473D4—868no—
1474D4—868no—
1475D4—864no—
1476D4—1724no—
1477D4—1724no—
1478D4—1724no—
1479D4—1724no—
1480D4—1724no—
1481D4—1728no—
1482C2×C4—22no—
1483C2×C4—28no—
1484C2×C4—24no—
1485C2×C4—24no—
1486C2×C4—28no—
1487C2×C4—42no—
1488C2×C4—44no—
1489C2×C4—42no—
1490C2×C4—48no—
1491C2×C4—434no—
1492C2×C4—431no—
1493C2×C4—431no—
1494C2×C4—438no—
1495C2×C4—438no—
1496C2×C4—431no—
1497C2×C4—431no—
1498C2×C4—434no—
1499C2×C4—434no—
1500C2×C4—434no—
1501C2×C4—434no—
1502C2×C4—434no—
1503C2×C4—864no—
1504C2×C4—864no—
1505C2×C4—868no—
1506C2×C4—864no—
1507C2×C4—864no—
1508C2×C4—868no—
1509C2×C4—862no—
1510C2×C4—862no—
1511C2×C4—862no—
1512C2×C4—862no—
1513C2×C4—868no—
1514C2×C4—862no—
1515C2×C4—868no—
1516C2×C4—864no—
1517C2×C4—864no—
1518C2×C4—868no—
1519C2×C4—1724no—
1520C2×C4—1724no—
1521C2×C4—1728no—
1522C2×C4—1728no—
1523C2×C4—1722no—
1524C2×C4—1724no—
1525C2×C4—1722no—
1526C2×C4—1728no—
1527C2×C4#41×D4314yes—
1528C2×C4C24×D4314yes—
1529C2×C4C24×D4314yes—
1530C2×C4C24×D4314yes—
1531C2×C4C24×D4314yes—
1532C2×C4C24×D4314yes—
1533C2×C4C24×D4312yes—
1534C2×C4C24×D4312yes—
1535C22—28no—
1536C22—21no—
1537C22—21no—
1538C22—21no—
1539C22—21no—
1540C22—21no—
1541C22—21no—
1542C22—24no—
1543C22—24no—
1544C22—24no—
1545C22—434no—
1546C22—862no—
1547C22—862no—
1548C22—862no—
1549C22—864no—
1550C22—864no—
1551C22—862no—
1552C22—864no—
1553C22—862no—
1554C22—3448no—
1555C22—1724no—
1556C22—1728no—
1557C22—1728no—
1558C22—1724no—
1559C22C2×#41×D4312yes—
1560C22#1458373412yes—
1561C22#1458373612yes—
1562C22C25×D4311yescharacteristic
1563C4—22no—
1564C4—24no—
1565C4—24no—
1566C4—24no—
1567C4—24no—
1568C4—24no—
1569C4—432no—
1570C4—432no—
1571C4—861no—
1572C4—861no—
1573C4—864no—
1574C4—864no—
1575C4—864no—
1576C4—864no—
1577C4—864no—
1578C4C2×#41×D4314yes—
1579C2—22no—
1580C2—22no—
1581C2—22no—
1582C2—44no—
1583C2—864no—
1584C2—1724no—
1585C2—1722no—
1586C2C22×#41×D4311yescharacteristic
1587C2C2×#1458373411yescharacteristic
1588C2C2×#1458373611yescharacteristic
subgroupG/H
center, FrattiniC22C25×D43
commutator, socle, cosocleC22×C43C26
FittingC43×#3492C2
hypercenter#3492D43
hypocenterC43#62814
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C22 ◁ #3492

Complements

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

NH ≅ G/Ntype
1. #19148343C2semidirect
2. #19148336C2semidirect
3. #19148326C2semidirect
4. #19148319C2semidirect
5. #19148316C2semidirect
6. #19148314C2semidirect
7. #19148308C2semidirect
8. #19148304C2semidirect
9. #19148301C2semidirect
10. #19148289C2semidirect
11. #19148278C2semidirect
12. #19148161C2semidirect
13. #19148158C2semidirect
14. #19148154C2semidirect
15. #19148148C2semidirect
16. #19147999C2semidirect
17. #19147981C2semidirect
18. #19147923C2semidirect
19. #19147887C2semidirect
20. #525×D43C2semidirect
21. #19147795C2semidirect
22. C22×#13063283C2semidirect
23. C43×#3492C2semidirect
26. #14583623C22semidirect
27. #14583622C22semidirect
28. #14583620C22semidirect
29. #14583617C22semidirect
30. #14583615C22semidirect
31. #14583614C22semidirect
32. #14583613C22semidirect
33. #14583612C22semidirect
34. #14583607C22semidirect
35. #14583606C22semidirect
36. #14583604C22semidirect
37. #14583602C22semidirect
38. #14583601C22semidirect
39. #14583601C22semidirect
40. #14583599C22semidirect
41. #14583597C22semidirect
42. #14583597C22semidirect
43. #14583595C22semidirect
44. #14583591C22semidirect
45. #14583591C22semidirect
46. #14583590C22semidirect
47. #14583589C22semidirect
48. #14583587C22semidirect
49. #14583587C22semidirect
50. #14583585C22semidirect
51. #14583584C22semidirect
52. #14583584C22semidirect
53. #14583583C22semidirect
54. #14583581C22semidirect
55. #14583578C22semidirect
56. #14583577C22semidirect
57. #14583576C22semidirect
58. #14583576C22semidirect
59. #14583574C22semidirect
60. #14583573C22semidirect
61. #14583572C22semidirect
62. #14583572C22semidirect
63. #14583553C22semidirect
64. #14583550C22semidirect
65. #14583549C22semidirect
66. #14583544C22semidirect
67. #14583541C22semidirect
68. #14583538C22semidirect
69. #14583537C22semidirect
70. #14583530C22semidirect
71. #14583529C22semidirect
72. #14583527C22semidirect
73. #14583526C22semidirect
75. #14583519C22semidirect
76. #14583515C22semidirect
77. #14583508C22semidirect
78. #14583501C22semidirect
79. #14583496C22semidirect
80. #14583493C22semidirect
81. #14583489C22semidirect
82. #14583486C22semidirect
83. #14583482C22semidirect
84. #14583480C22semidirect
85. #14583477C22semidirect
86. #14583472C22semidirect
87. #14583465C22semidirect
89. #14583455C22semidirect
90. #14583454C22semidirect
91. #14583452C22semidirect
92. #14583451C22semidirect
93. #14583451C22semidirect
94. #14583445C22semidirect
95. #14583444C22semidirect
96. #14583444C22semidirect
97. #14583435C22semidirect
98. #14583435C22semidirect
99. #14583435C22semidirect
100. #14583434C22semidirect
101. #14583432C22semidirect
102. #14583430C22semidirect
103. #14583430C22semidirect
104. #14583429C22semidirect
105. #14583429C22semidirect
106. #14583426C22semidirect
107. #14583426C22semidirect
108. #14583426C22semidirect
111. #14583412C22semidirect
112. #14583411C22semidirect
113. #14583410C22semidirect
114. #14583410C22semidirect
117. #14583409C22semidirect
120. #14583407C22semidirect
121. #14583406C22semidirect
122. #14583405C22semidirect
123. #14583405C22semidirect
125. C22⋊Q8×D43C22semidirect
126. C22⋊Q8×D43C22semidirect
127. #121×D43C22semidirect
128. #121×D43C22semidirect
130. #14583382C22semidirect
131. #14583380C22semidirect
132. #14583380C22semidirect
133. #14583379C22semidirect
134. #14583379C22semidirect
135. #14583375C22semidirect
137. #14583371C22semidirect
138. #41×Dic43C22semidirect
139. C4×#10621902C22semidirect
140. #14583367C22semidirect
141. C4×#10621900C22semidirect
142. C4×#10621900C22semidirect
143. C4×#10621900C22semidirect
144. C4×D4×D43C22semidirect
145. C4×D4×D43C22semidirect
149. C2×#13063283C22semidirect
150. C2×#13063283C22semidirect
151. C2×#13063283C22semidirect
152. C2×#13063283C22semidirect
153. C2×#13063283C22semidirect
154. C2×#13063283C22semidirect
155. C2×#13063283C22semidirect
156. C2×#13063283C22semidirect
158. #117×D43C22semidirect
159. C22×C4⋊Dic43C22semidirect
161. C22×C4×Dic43C22semidirect
162. C43×#554C22semidirect
163. C43×#553C22semidirect
164. C43×#552C22semidirect
165. C43×#547C22semidirect
166. C43×#544C22semidirect
167. C43×#539C22semidirect
168. C43×#537C22semidirect
169. C43×#525C22semidirect
170. C43×#525C22semidirect
171. C43×#520C22semidirect
172. C22×C4⋊C4×C43C22semidirect
199. #13063325C23semidirect
200. #13063324C23semidirect
201. #13063324C23semidirect
202. #13063324C23semidirect
203. #13063324C23semidirect
204. #13063323C23semidirect
205. #13063321C23semidirect
209. #13063320C23semidirect
210. #13063320C23semidirect
211. #13063320C23semidirect
212. #13063320C23semidirect
214. #13063318C23semidirect
215. #13063318C23semidirect
216. #13063318C23semidirect
217. #13063317C23semidirect
218. #13063316C23semidirect
219. #13063316C23semidirect
220. #13063316C23semidirect
221. #13063316C23semidirect
222. #13063316C23semidirect
223. #13063315C23semidirect
224. #13063315C23semidirect
225. #13063315C23semidirect
226. #13063315C23semidirect
228. #13063314C23semidirect
230. #13063312C23semidirect
233. #13063311C23semidirect
234. #13063311C23semidirect
240. #13063310C23semidirect
244. #13063309C23semidirect
251. #13063307C23semidirect
257. #13063305C23semidirect
258. #13063305C23semidirect
263. #13063304C23semidirect
268. #13063303C23semidirect
273. #13063302C23semidirect
277. #13063301C23semidirect
281. #13063300C23semidirect
287. #13063299C23semidirect
298. #13063296C23semidirect
308. Q8×Dic43C23semidirect
309. Q8×Dic43C23semidirect
310. Q8×Dic43C23semidirect
311. C4×Dic86C23semidirect
312. C4×Dic86C23semidirect
313. C4×Dic86C23semidirect
314. #13063290C23semidirect
315. #13063290C23semidirect
316. #13063290C23semidirect
317. #13063290C23semidirect
318. #13063290C23semidirect
322. C4×D172C23semidirect
327. D4×Dic43C23semidirect
328. D4×Dic43C23semidirect
329. D4×Dic43C23semidirect
333. #13063287C23semidirect
334. #13063287C23semidirect
335. #13063287C23semidirect
343. C4×C22⋊D43C23semidirect
344. C4×C22⋊D43C23semidirect
352. (C22⋊D43)⋊C4C23semidirect
353. (C22⋊D43)⋊C4C23semidirect
356. #13063284C23semidirect
357. #13063284C23semidirect
373. #13063283C23semidirect
374. #13063283C23semidirect
375. #13063283C23semidirect
376. #13063283C23semidirect
379. #13063282C23semidirect
382. #13063281C23semidirect
383. #13063281C23semidirect
389. C2×C4⋊Dic43C23semidirect
394. C4⋊C4×D43C23semidirect
395. C4⋊C4×D43C23semidirect
417. C2×C4×Dic43C23semidirect
419. C42×D43C23semidirect
424. C4⋊Q8×C43C23semidirect
425. #126×C43C23semidirect
426. #125×C43C23semidirect
427. #125×C43C23semidirect
430. #123×C43C23semidirect
435. C22⋊Q8×C43C23semidirect
436. C22⋊Q8×C43C23semidirect
441. #121×C43C23semidirect
443. C4×Q8×C43C23semidirect
448. C4×D4×C43C23semidirect
451. #117×C43C23semidirect
457. C2×C4⋊C4×C43C23semidirect
535. C2×C4×D43#41semidirect
794. #3492D43semidirect
831. #554C2×D43semidirect
839. #553C2×D43semidirect
851. #552C2×D43semidirect
863. #547C2×D43semidirect
872. #544C2×D43semidirect
880. #539C2×D43semidirect
886. #537C2×D43semidirect
925. #525C2×D43semidirect
926. #525C2×D43semidirect
938. #520C2×D43semidirect
964. C22×C4⋊C4C2×D43semidirect
967. C43#62814semidirect
1004. C4⋊Q8C22×D43semidirect
1017. #126C22×D43semidirect
1028. #125C22×D43semidirect
1029. #125C22×D43semidirect
1059. #123C22×D43semidirect
1088. C22⋊Q8C22×D43semidirect
1089. C22⋊Q8C22×D43semidirect
1115. #121C22×D43semidirect
1137. C4×Q8C22×D43semidirect
1177. C4×D4C22×D43semidirect
1210. #117C22×D43semidirect
1228. C2×C4⋊C4C22×D43semidirect

Maximal subgroups

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

subgroupindex
#191483432
#191483362
#191483262
#191483192
#191483162
#191483142
#191483082
#191483042
#191483012
#191482892
#191482782
#191481612
#191481582
#191481542
#191481482
#191479992
#191479812
#191479232
#191478872
#525×D432
#191477952
C22×#130632832
C43×#34922
#6281443