Finite Group Databasebeta

← D59×#3455 #29495534

Subgroups — D59×#3455 #29495534

Order 15104.

7302 conjugacy classes of subgroups.

The subgroup lattice has 1504 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437488C211yesmaximal, characteristic, complemented
2#21437487C212yesmaximal, complemented
3#21437486C211yesmaximal, characteristic, complemented
4#21437485C211yesmaximal, characteristic, complemented
5#21437484C212yesmaximal, complemented
6#21437483C214yesmaximal, complemented
7#21437482C214yesmaximal, complemented
8#21437481C212yesmaximal, complemented
9#21437480C212yesmaximal, complemented
10#21437479C218yesmaximal, complemented
11#21437478C214yesmaximal, complemented
12#542×D59C214yesmaximal, complemented
13#541×D59C212yesmaximal, complemented
14#540×D59C212yesmaximal, complemented
15#539×D59C214yesmaximal, complemented
16#538×D59C214yesmaximal, complemented
17#533×D59C211yesmaximal, characteristic, complemented
18#532×D59C211yesmaximal, characteristic, complemented
19#529×D59C218yesmaximal, complemented
20#525×D59C212yesmaximal, complemented
21C4×#41×D59C212yesmaximal, complemented
22C2×#117×D59C211yesmaximal, characteristic, complemented
23C59×#3455C211yesmaximal, characteristic, complemented
24C2×#41×D59C2212yes—
25C23×C4×D59C2211yescharacteristic
26#16838026C2214yescomplemented
27#16838025C2214yescomplemented
28#16838024C2214yescomplemented
29#16838023C2214yescomplemented
30#16838022C2218yescomplemented
31#16838021C2214yescomplemented
32#16838020C2218yescomplemented
33#16838019C2214yescomplemented
34#16838018C2218yescomplemented
35#16838017C2214yescomplemented
36#16838016C2218yescomplemented
37#16838015C2212yescomplemented
38#16838014C2212yescomplemented
39#16838013C2212yescomplemented
40#16838012C2214yescomplemented
41#16838011C2218yescomplemented
42#16838010C2214yescomplemented
43#16838009C2218yescomplemented
44#16838008C2212yescomplemented
45#16838007C2212yescomplemented
46#16838006C2212yescomplemented
47#16838005C2214yescomplemented
48#16838004C2218yescomplemented
49#16838003C2214yescomplemented
50#16838002C2218yescomplemented
51#16838001C2214yescomplemented
52#16838000C2218yescomplemented
53#16837999C2214yescomplemented
54#16837998C2218yescomplemented
55#16837997C2214yescomplemented
56#16837996C2218yescomplemented
57#16837995C2218yescomplemented
58#16837994C2218yescomplemented
59#16837993C2218yescomplemented
60#16837992C2214yescomplemented
61#16837991C2218yescomplemented
62#16837990C2214yescomplemented
63#16837989C2214yescomplemented
64#16837988C2218yescomplemented
65#16837987C2218yescomplemented
66#16837986C2218yescomplemented
67#16837985C2218yescomplemented
68#16837984C2218yescomplemented
69#16837959C2211yescharacteristic, complemented
70#16837958C2212yescomplemented
71#16837957C2212yescomplemented
72#16837956C2214yescomplemented
73#16837955C2212yescomplemented
74#16837954C2214yescomplemented
75#16837953C2211yescharacteristic, complemented
76#16837952C2211yescharacteristic, complemented
77#16837951C2212yescomplemented
78#16837950C2211yescharacteristic, complemented
79#16837949C2214yescomplemented
80#16837948C2212yescomplemented
81#16837947C2214yescomplemented
82C4⋊Q8×D59C2211yescharacteristic, complemented
83C4⋊Q8×D59C2212yescomplemented
84#127×D59C2211yescharacteristic, complemented
85#16837939C2218yescomplemented
86#16837938C2218yescomplemented
87#16837937C2218yescomplemented
88#16837936C2218yescomplemented
89#16837935C2218yescomplemented
90#16837935C2218yescomplemented
91#16837934C2218yescomplemented
92#16837933C2218yescomplemented
93#16837932C2218yescomplemented
94#16837932C2218yescomplemented
95#16837931C2218yescomplemented
96#16837930C2218yescomplemented
97#16837930C2218yescomplemented
98#16837929C2218yescomplemented
99#16837929C2218yescomplemented
100#126×D59C2218yes—
101#126×D59C2218yescomplemented
102#125×D59C2218yescomplemented
103#125×D59C2212yescomplemented
104#124×D59C2218yes—
105#124×D59C2212yescomplemented
106#16837915C2214yescomplemented
107#16837914C2212yescomplemented
108#16837913C2212yescomplemented
109#16837912C2214yescomplemented
110#16837911C2218yescomplemented
111#16837910C2214yescomplemented
112#16837909C2212yescomplemented
113#16837908C2214yescomplemented
114#123×D59C2214yes—
115#123×D59C2218yes—
116#123×D59C2218yescomplemented
117C22⋊Q8×D59C2214yes—
118C22⋊Q8×D59C2214yes—
119C22⋊Q8×D59C2218yescomplemented
120#121×D59C2214yes—
121#121×D59C2214yes—
122#121×D59C2218yes—
123#120×D59C2214yes—
124#41×Dic59C2212yescomplemented
125C4×#11745689C2214yescomplemented
126C4×#11745685C2212yescomplemented
127C4×#11745685C2214yescomplemented
128#16837870C2212yescomplemented
129#16837870C2214yescomplemented
130C4×#11745687C2218yescomplemented
131C4×#11745687C2214yescomplemented
132C4×Q8×D59C2214yescomplemented
133C4×Q8×D59C2214yescomplemented
134C4×D4×D59C2218yes—
135C4×D4×D59C2218yes—
136C4×D4×D59C2214yescomplemented
137C4×D4×D59C2214yescomplemented
138C2×#14273686C2211yescharacteristic, complemented
139C2×#14273685C2212yescomplemented
140C2×#14273684C2211yescharacteristic, complemented
141C2×#14273684C2211yescharacteristic, complemented
142C2×#14273683C2212yescomplemented
143#117×D59C2212yes—
144#117×D59C2212yes—
145#117×D59C2214yes—
146#117×D59C2212yes—
147#117×D59C2214yescomplemented
148#117×D59C2212yescomplemented
149#117×D59C2212yescomplemented
150#117×D59C2214yescomplemented
151C2×C4⋊C4×D59C2212yes—
152C2×C22⋊C4×D59C2212yes—
153C2×C42×D59C2211yescharacteristic
154C2×C42×D59C2211yescharacteristic
155C2×C42×D59C2214yescomplemented
156C59×#542C2214yescomplemented
157C59×#541C2212yescomplemented
158C59×#540C2212yescomplemented
159C59×#539C2214yescomplemented
160C59×#538C2214yescomplemented
161C59×#533C2211yescharacteristic, complemented
162C59×#532C2211yescharacteristic, complemented
163C59×#529C2218yescomplemented
164C59×#525C2212yescomplemented
165C4×#41×C59C2212yescomplemented
166C2×#117×C59C2211yescharacteristic, complemented
167C24×D59C2311yescharacteristic
168C2×#11745689C2312yes—
169C2×#11745685C2314yes—
170C2×#11745685C2312yes—
171C2×#11745687C2314yes—
172C2×#11745687C2312yes—
173#41×D59—216no—
174C2×Q8×D59C2312yes—
175C2×Q8×D59C2314yes—
176C2×D4×D59C2314yes—
177C2×D4×D59C2312yes—
178C2×D4×D59C2318yes—
179C2×D4×D59C2314yes—
180C23×Dic59C2311yescharacteristic
181C22×C4×D59—28no—
182C22×C4×D59C2312yes—
183C22×C4×D59C2311yescharacteristic
184C22×C4×D59C2311yescharacteristic
185C22×C4×D59C2311yescharacteristic
186C22×C4×D59C2312yes—
187C22×C4×D59C2312yes—
188C22×C4×D59C2312yes—
189C22×C4×D59C2314yes—
190C22×C4×D59C2312yes—
191C22×C4×D59C2318yes—
192C22×C4×D59C2312yes—
193C22×C4×D59C2311yescharacteristic
194#14273727C2311yescharacteristic, complemented
195#14273727C2312yescomplemented
196#14273726C2314yescomplemented
197#14273726C2314yescomplemented
198#14273726C2314yescomplemented
199#14273725C2312yescomplemented
200#14273725C2314yescomplemented
201#14273724C2311yescharacteristic, complemented
202#14273723C2314yescomplemented
203#14273723C2312yescomplemented
204#14273722C2318yes—
205#14273722C2318yes—
206#14273722C2318yes—
207#14273722C2318yescomplemented
208#14273722C2318yescomplemented
209#14273722C2318yescomplemented
210#14273721C2318yes—
211#14273721C2318yescomplemented
212#14273720C2318yes—
213#14273720C2318yes—
214#14273720C2318yes—
215#14273720C2318yescomplemented
216#14273720C2318yescomplemented
217#14273720C2318yescomplemented
218#14273719C2318yescomplemented
219#14273719C2312yescomplemented
220#14273718C2318yescomplemented
221#14273718C2318yescomplemented
222#14273718C2314yescomplemented
223#14273717C2318yescomplemented
224#14273717C2318yescomplemented
225#14273717C2318yescomplemented
226#14273717C2318yescomplemented
227#14273717C2318yescomplemented
228#14273716C2318yes—
229#14273716C2312yescomplemented
230#14273715C2318yes—
231#14273715C2312yescomplemented
232#14273714C2318yes—
233#14273714C2312yescomplemented
234#14273713C2318yes—
235#14273713C2318yes—
236#14273713C2318yes—
237#14273713C2318yes—
238#14273713C2318yescomplemented
239#14273712C2318yes—
240#14273712C2318yes—
241#14273712C2318yes—
242#14273712C2318yescomplemented
243#14273712C2318yescomplemented
244#14273711C2314yes—
245#14273711C2318yes—
246#14273711C2318yescomplemented
247#14273710C2314yes—
248#14273710C2318yes—
249#14273710C2318yescomplemented
250#14273709C2318yes—
251#14273709C2318yes—
252#14273709C2318yes—
253#14273709C2318yescomplemented
254#14273709C2318yescomplemented
255#14273708C2314yes—
256#14273708C2318yes—
257#14273708C2318yescomplemented
258#14273707C2314yes—
259#14273707C2314yes—
260#14273707C2318yescomplemented
261#14273706C2314yes—
262#14273706C2314yes—
263#14273706C2318yescomplemented
264#14273705C2318yes—
265#14273705C2318yes—
266#14273705C2318yescomplemented
267#14273705C2318yescomplemented
268#14273704C2318yes—
269#14273704C2318yes—
270#14273704C2318yescomplemented
271#14273704C2318yescomplemented
272#14273703C2314yes—
273#14273703C2314yes—
274#14273703C2318yescomplemented
275#14273702C2314yes—
276#14273702C2318yes—
277#14273702C2314yes—
278#14273701C2314yes—
279#14273701C2318yes—
280#14273701C2314yes—
281#14273700C2318yes—
282#14273700C2318yes—
283#14273700C2318yes—
284#14273700C2318yes—
285#14273699C2318yes—
286#14273699C2318yes—
287#14273699C2318yes—
288#14273699C2318yes—
289#14273698C2314yes—
290#14273698C2318yes—
291#14273698C2314yes—
292#14273697C2314yes—
293#14273697C2318yes—
294#14273696C2314yes—
295#14273695C2314yes—
296#14273695C2318yes—
297Q8×Dic59C2314yescomplemented
298Q8×Dic59C2314yescomplemented
299C4×Dic118C2314yescomplemented
300C4×Dic118C2318yescomplemented
301C4×Dic118C2318yescomplemented
302C4×Dic118C2314yescomplemented
303#14273692C2314yescomplemented
304#14273692C2318yescomplemented
305#14273692C2318yescomplemented
306#14273692C2314yescomplemented
307C4×D236C2318yes—
308C4×D236C2318yes—
309C4×D236C2314yescomplemented
310C4×D236C2314yescomplemented
311D4×Dic59C2318yes—
312D4×Dic59C2318yes—
313D4×Dic59C2314yescomplemented
314D4×Dic59C2314yescomplemented
315#14273689C2318yes—
316#14273689C2318yes—
317#14273689C2314yescomplemented
318#14273689C2314yescomplemented
319C4×C22⋊D59C2318yes—
320C4×C22⋊D59C2318yes—
321C4×C22⋊D59C2318yes—
322C4×C22⋊D59C2318yes—
323C4×C22⋊D59C2318yescomplemented
324C4×C22⋊D59C2318yescomplemented
325(C22⋊D59)⋊C4C2318yes—
326(C22⋊D59)⋊C4C2318yes—
327(C22⋊D59)⋊C4C2318yes—
328(C22⋊D59)⋊C4C2318yes—
329(C22⋊D59)⋊C4C2318yescomplemented
330(C22⋊D59)⋊C4C2318yescomplemented
331#14273686C2312yes—
332#14273686C2314yes—
333#14273686C2312yes—
334#14273686C2312yes—
335#14273686C2314yescomplemented
336#14273685C2314yes—
337#14273685C2314yes—
338#14273685C2314yes—
339#14273685C2314yes—
340#14273685C2314yes—
341#14273685C2318yescomplemented
342#14273684C2314yes—
343#14273684C2314yes—
344#14273684C2314yes—
345#14273684C2312yes—
346#14273684C2312yes—
347#14273684C2312yes—
348#14273684C2312yes—
349#14273684C2314yescomplemented
350#14273684C2314yescomplemented
351#14273683C2314yes—
352#14273683C2314yes—
353#14273683C2314yes—
354#14273683C2314yes—
355#14273683C2314yes—
356#14273683C2318yescomplemented
357C2×C4⋊Dic59C2312yes—
358C2×Dic59⋊C4C2312yes—
359C2×Dic59⋊C4C2312yes—
360C4⋊C4×D59C2318yes—
361C4⋊C4×D59C2314yes—
362C4⋊C4×D59C2314yes—
363C4⋊C4×D59C2318yes—
364C4⋊C4×D59C2314yes—
365C4⋊C4×D59C2314yes—
366C4⋊C4×D59C2318yes—
367C4⋊C4×D59C2314yes—
368C4⋊C4×D59C2314yes—
369C4⋊C4×D59C2314yes—
370C2×C22⋊Dic59C2312yes—
371C2×(C2×D59)⋊C4C2312yes—
372C2×(C2×D59)⋊C4C2312yes—
373C22⋊C4×D59C2314yes—
374C22⋊C4×D59C2318yes—
375C22⋊C4×D59C2318yes—
376C22⋊C4×D59C2318yes—
377C22⋊C4×D59C2314yes—
378C22⋊C4×D59C2318yes—
379C22⋊C4×D59C2314yes—
380C22⋊C4×D59C2314yes—
381C22⋊C4×D59C2314yes—
382C2×C4×Dic59C2312yes—
383C2×C4×Dic59C2311yescharacteristic
384C2×C4×Dic59C2312yes—
385C2×C4×Dic59C2311yescharacteristic
386C2×C4×Dic59C2318yescomplemented
387C2×C4×Dic59C2314yescomplemented
388C42×D59C2318yes—
389C42×D59C2311yescharacteristic
390C42×D59C2311yescharacteristic
391C42×D59C2312yes—
392C42×D59C2311yescharacteristic
393C42×D59C2311yescharacteristic
394C42×D59C2312yes—
395C42×D59C2312yes—
396C42×D59C2312yes—
397C42×D59C2312yes—
398C42×D59C2312yes—
399C42×D59C2314yes—
400C42×D59C2314yescomplemented
401C42×D59C2318yescomplemented
402C42×D59C2314yescomplemented
403C2×#41×C59C2312yes—
404C23×C4×C59C2311yescharacteristic
405C4⋊Q8×C59C2311yescharacteristic, complemented
406C4⋊Q8×C59C2312yescomplemented
407#127×C59C2311yescharacteristic, complemented
408#126×C59C2318yes—
409#126×C59C2318yescomplemented
410#125×C59C2318yescomplemented
411#125×C59C2312yescomplemented
412#124×C59C2318yes—
413#124×C59C2312yescomplemented
414#123×C59C2314yes—
415#123×C59C2318yes—
416#123×C59C2318yescomplemented
417C22⋊Q8×C59C2314yes—
418C22⋊Q8×C59C2314yes—
419C22⋊Q8×C59C2318yescomplemented
420#121×C59C2314yes—
421#121×C59C2318yes—
422#121×C59C2314yes—
423#120×C59C2314yes—
424C4×Q8×C59C2314yescomplemented
425C4×Q8×C59C2314yescomplemented
426C4×D4×C59C2318yes—
427C4×D4×C59C2318yes—
428C4×D4×C59C2314yescomplemented
429C4×D4×C59C2314yescomplemented
430#117×C59C2312yes—
431#117×C59C2314yes—
432#117×C59C2312yes—
433#117×C59C2312yes—
434#117×C59C2314yescomplemented
435C2×C4⋊C4×C59C2312yes—
436C2×C22⋊C4×C59C2312yes—
437C2×C42×C59C2311yescharacteristic
438C2×C42×C59C2311yescharacteristic
439C2×C42×C59C2314yescomplemented
440C24×C59C2411yescharacteristic
441C23×D59—24no—
442C23×D59—44no—
443C23×D59C2412yes—
444C23×D59C2414yes—
445C23×D59C2411yescharacteristic
446C23×D59C2412yes—
447C23×D59C2411yescharacteristic
448#41×C59—28no—
449C2×Q8×C59C2412yes—
450C2×Q8×C59C2414yes—
451C2×D4×C59C2414yes—
452C2×D4×C59C2412yes—
453C2×D4×C59C2418yes—
454C2×D4×C59C2414yes—
455C22×C4×C59—24no—
456C22×C4×C59C2414yes—
457C22×C4×C59C2411yescharacteristic
458C22×C4×C59C2412yes—
459C22×C4×C59C2412yes—
460C22×C4×C59C2412yes—
461C22×C4×C59C2412yes—
462C22×C4×C59C2418yes—
463C22×C4×C59C2411yescharacteristic
464C2×C22⋊D59C2414yes—
465C2×C22⋊D59C2414yes—
466C2×C22⋊D59C2414yes—
467C2×C22⋊D59C2418yes—
468C2×C22⋊D59C2418yes—
469C2×C22⋊D59C2418yes—
470C22×Dic59—24no—
471C22×Dic59C2414yes—
472C22×Dic59C2411yescharacteristic
473C22×Dic59C2412yes—
474C22×Dic59C2412yes—
475C22×Dic59C2412yes—
476C22×Dic59C2412yes—
477C22×Dic59C2418yes—
478C22×Dic59C2411yescharacteristic
479#11745689—28no—
480Q8×D59—28no—
481Q8×D59—48no—
482#11745687—216no—
483#11745687—28no—
484D4×D59—216no—
485D4×D59—28no—
486D4×D59—48no—
487D4×D59—416no—
488#11745685—28no—
489#11745685—216no—
490C2×D236C2414yes—
491C2×D236C2412yes—
492C2×D236C2418yes—
493C2×D236C2414yes—
494C2×C4×D59—24no—
495C2×C4×D59—24no—
496C2×C4×D59—24no—
497C2×C4×D59—28no—
498C2×C4×D59—28no—
499C2×C4×D59—28no—
500C2×C4×D59—28no—
501C2×C4×D59—216no—
502C2×C4×D59—44no—
503C2×C4×D59—416no—
504C2×C4×D59—44no—
505C2×C4×D59#4118yes—
506C2×C4×D59C2414yes—
507C2×C4×D59C2412yes—
508C2×C4×D59C2414yes—
509C2×C4×D59C2418yes—
510C2×C4×D59C2412yes—
511C2×C4×D59C2414yes—
512C2×C4×D59C2414yes—
513C2×C4×D59C2412yes—
514C2×C4×D59C2412yes—
515C2×C4×D59C2412yes—
516C2×C4×D59C2412yes—
517C2×C4×D59C2412yes—
518C2×C4×D59C2412yes—
519C2×C4×D59C2414yes—
520C2×C4×D59C2412yes—
521C2×C4×D59C2412yes—
522C2×C4×D59C2418yes—
523C2×C4×D59C2418yes—
524C2×C4×D59C2411yescharacteristic
525C2×C4×D59C2411yescharacteristic
526C2×C4×D59C2411yescharacteristic
527C2×C4×D59C2411yescharacteristic
528C2×Dic118C2414yes—
529C2×Dic118C2412yes—
530C2×Dic118C2418yes—
531C2×Dic118C2414yes—
532C4⋊C4×C59C2414yes—
533C4⋊C4×C59C2414yes—
534C4⋊C4×C59C2414yes—
535C4⋊C4×C59C2418yes—
536C4⋊C4×C59C2418yes—
537C4⋊C4×C59C2414yes—
538C4⋊C4×C59C2418yes—
539C4⋊C4×C59C2414yes—
540C22⋊C4×C59C2414yes—
541C22⋊C4×C59C2414yes—
542C22⋊C4×C59C2414yes—
543C22⋊C4×C59C2418yes—
544C22⋊C4×C59C2418yes—
545C22⋊C4×C59C2418yes—
546C22⋊C4×C59C2418yes—
547C42×C59C2412yes—
548C42×C59C2412yes—
549C42×C59C2412yes—
550C42×C59C2411yescharacteristic
551C42×C59C2411yescharacteristic
552C42×C59C2414yes—
553C42×C59C2418yes—
554C22⋊Dic59C2414yes—
555C22⋊Dic59C2414yes—
556C22⋊Dic59C2414yes—
557C22⋊Dic59C2418yes—
558C22⋊Dic59C2418yes—
559C22⋊Dic59C2418yes—
560C22⋊Dic59C2418yes—
561(C2×D59)⋊C4C2414yes—
562(C2×D59)⋊C4C2414yes—
563(C2×D59)⋊C4C2414yes—
564(C2×D59)⋊C4C2414yes—
565(C2×D59)⋊C4C2418yes—
566(C2×D59)⋊C4C2418yes—
567(C2×D59)⋊C4C2418yes—
568(C2×D59)⋊C4C2418yes—
569(C2×D59)⋊C4C2418yes—
570(C2×D59)⋊C4C2418yes—
571(C2×D59)⋊C4C2418yes—
572(C2×D59)⋊C4C2418yes—
573(C2×D59)⋊C4C2418yes—
574C4⋊Dic59C2414yes—
575C4⋊Dic59C2414yes—
576C4⋊Dic59C2414yes—
577C4⋊Dic59C2418yes—
578C4⋊Dic59C2418yes—
579C4⋊Dic59C2414yes—
580C4⋊Dic59C2418yes—
581C4⋊Dic59C2414yes—
582Dic59⋊C4C2414yes—
583Dic59⋊C4C2414yes—
584Dic59⋊C4C2414yes—
585Dic59⋊C4C2414yes—
586Dic59⋊C4C2418yes—
587Dic59⋊C4C2418yes—
588Dic59⋊C4C2418yes—
589Dic59⋊C4C2418yes—
590Dic59⋊C4C2418yes—
591Dic59⋊C4C2418yes—
592Dic59⋊C4C2418yes—
593Dic59⋊C4C2418yes—
594Dic59⋊C4C2418yes—
595C4×Dic59C2414yes—
596C4×Dic59C2412yes—
597C4×Dic59C2412yes—
598C4×Dic59C2414yes—
599C4×Dic59C2412yes—
600C4×Dic59C2412yes—
601C4×Dic59C2412yes—
602C4×Dic59C2412yes—
603C4×Dic59C2412yes—
604C4×Dic59C2411yescharacteristic
605C4×Dic59C2411yescharacteristic
606C4×Dic59C2418yes—
607C4×Dic59C2414yes—
608C4×Dic59C2418yes—
609C4×Dic59C2418yes—
610C4×Dic59C2418yes—
611C23×C59—22no—
612C23×C59—42no—
613C23×C59C2512yes—
614C23×C59C2514yes—
615C23×C59C2511yescharacteristic
616C22×D59—24no—
617C22×D59—22no—
618C22×D59—24no—
619C22×D59—24no—
620C22×D59—28no—
621C22×D59—216no—
622C22×D59—28no—
623C22×D59—44no—
624C22×D59—42no—
625C22×D59—416no—
626C22×D59C2×#4114yes—
627C22×D59C2512yes—
628C22×D59C2514yes—
629C22×D59C2511yescharacteristic
630C22×D59C2511yescharacteristic
631Q8×C59—24no—
632Q8×C59—44no—
633D4×C59—28no—
634D4×C59—24no—
635D4×C59—48no—
636D4×C59—44no—
637C2×C4×C59—22no—
638C2×C4×C59—24no—
639C2×C4×C59—24no—
640C2×C4×C59—28no—
641C2×C4×C59—42no—
642C2×C4×C59—48no—
643C2×C4×C59—42no—
644C2×C4×C59C2×#4114yes—
645C2×C4×C59C2514yes—
646C2×C4×C59C2512yes—
647C2×C4×C59C2514yes—
648C2×C4×C59C2518yes—
649C2×C4×C59C2512yes—
650C2×C4×C59C2512yes—
651C2×C4×C59C2511yescharacteristic
652C2×C4×C59C2511yescharacteristic
653C22⋊D59—28no—
654C22⋊D59—28no—
655C22⋊D59—28no—
656C22⋊D59—48no—
657C22⋊D59—48no—
658C22⋊D59—48no—
659C2×Dic59—22no—
660C2×Dic59—24no—
661C2×Dic59—24no—
662C2×Dic59—28no—
663C2×Dic59—42no—
664C2×Dic59—48no—
665C2×Dic59—42no—
666C2×Dic59C2×#4114yes—
667C2×Dic59C2514yes—
668C2×Dic59C2512yes—
669C2×Dic59C2514yes—
670C2×Dic59C2518yes—
671C2×Dic59C2512yes—
672C2×Dic59C2512yes—
673C2×Dic59C2511yescharacteristic
674C2×Dic59C2511yescharacteristic
675D236—28no—
676D236—24no—
677D236—48no—
678D236—44no—
679C4×D59—24no—
680C4×D59—24no—
681C4×D59—28no—
682C4×D59—28no—
683C4×D59—24no—
684C4×D59—216no—
685C4×D59—24no—
686C4×D59—24no—
687C4×D59—24no—
688C4×D59—28no—
689C4×D59—24no—
690C4×D59—24no—
691C4×D59—28no—
692C4×D59—42no—
693C4×D59—48no—
694C4×D59—48no—
695C4×D59—44no—
696C4×D59—42no—
697C4×D59C2×#4114yes—
698C4×D59C2×#4114yes—
699C4×D59C2×#4114yes—
700C4×D59C2×#4114yes—
701Dic118—24no—
702Dic118—28no—
703Dic118—48no—
704Dic118—44no—
705C2×#3455—591nomaximal, Sylow
706C22×C59—22no—
707C22×C59—22no—
708C22×C59—24no—
709C22×C59—28no—
710C22×C59—24no—
711C22×C59—44no—
712C22×C59C22×#4112yes—
713C22×C59C2611yescharacteristic
714C2×D59—22no—
715C2×D59—28no—
716C2×D59—22no—
717C2×D59—24no—
718C2×D59—28no—
719C2×D59—24no—
720C2×D59—48no—
721C2×D59—44no—
722C2×D59—416no—
723C2×D59—48no—
724C2×D59C22×#4112yes—
725C2×D59C22×#4112yes—
726C2×D59#58514yes—
727C4×C59—24no—
728C4×C59—22no—
729C4×C59—22no—
730C4×C59—28no—
731C4×C59—24no—
732C4×C59—22no—
733C4×C59C22×#4112yes—
734C4×C59C22×#4112yes—
735Dic59—24no—
736Dic59—22no—
737Dic59—22no—
738Dic59—28no—
739Dic59—24no—
740Dic59—22no—
741Dic59C22×#4112yes—
742Dic59C22×#4112yes—
743#3455—594no—
744#3455—592no—
745#3455—592no—
746#3455—594no—
747#3455—594no—
748#3455—591no—
749#3455—591no—
750#3455—598no—
751#3455—592no—
752#3455—592no—
753#3455—591no—
754#3455D5911yescharacteristic, direct product factor
755C2×#542—594no—
756C2×#541—592no—
757C2×#540—592no—
758C2×#539—594no—
759C2×#538—594no—
760C2×#533—591no—
761C2×#532—591no—
762C2×#529—598no—
763C2×#525—592no—
764C2×C4×#41—592no—
765C22×#117—591no—
766C2×C59—22no—
767C2×C59—42no—
768C2×C59—44no—
769C2×C59C23×#4111yescharacteristic
770C2×C59C2×#58512yes—
771D59—22no—
772D59—44no—
773D59—42no—
774D59#345514yesdirect product factor
775C22×#41—592no—
776C24×C4—591no—
777#542—594no—
778#542—598no—
779#542—598no—
780#542—594no—
781#542—598no—
782#542—594no—
783#542—598no—
784#542—594no—
785#542—594no—
786#542—594no—
787#542—594no—
788#542C2×D5914yescomplemented
789#541—592no—
790#541—598no—
791#541—598no—
792#541—592no—
793#541—594no—
794#541—594no—
795#541—592no—
796#541C2×D5912yescomplemented
797#540—592no—
798#540—592no—
799#540—598no—
800#540—598no—
801#540—594no—
802#540—594no—
803#540—592no—
804#540C2×D5912yescomplemented
805#539—598no—
806#539—598no—
807#539—598no—
808#539—598no—
809#539—594no—
810#539—598no—
811#539—594no—
812#539—598no—
813#539—594no—
814#539C2×D5914yescomplemented
815#538—598no—
816#538—598no—
817#538—598no—
818#538—594no—
819#538—598no—
820#538—594no—
821#538—598no—
822#538—598no—
823#538—594no—
824#538C2×D5914yescomplemented
825#533—592no—
826#533—592no—
827#533—594no—
828#533—594no—
829#533—592no—
830#533—591no—
831#533C2×D5911yescharacteristic, complemented
832#532—592no—
833#532—591no—
834#532—591no—
835#532—592no—
836#532—594no—
837#532—594no—
838#532—591no—
839#532C2×D5911yescharacteristic, complemented
840C2×C4⋊Q8—591no—
841C2×C4⋊Q8—592no—
842C2×#127—591no—
843#529—598no—
844#529—598no—
845#529—598no—
846#529—598no—
847#529—598no—
848#529—598no—
849#529—598no—
850#529—598no—
851#529—598no—
852#529—598no—
853#529—598no—
854#529—598no—
855#529—598no—
856#529—598no—
857#529—598no—
858#529C2×D5918yescomplemented
859C2×#126—598no—
860C2×#126—598no—
861C2×#125—598no—
862C2×#125—592no—
863C2×#124—598no—
864C2×#124—592no—
865#525—592no—
866#525—592no—
867#525—594no—
868#525—594no—
869#525—594no—
870#525—594no—
871#525—598no—
872#525—592no—
873#525C2×D5912yescomplemented
874C2×#123—594no—
875C2×#123—598no—
876C2×#123—598no—
877C2×C22⋊Q8—594no—
878C2×C22⋊Q8—594no—
879C2×C22⋊Q8—598no—
880C2×#121—594no—
881C2×#121—598no—
882C2×#121—594no—
883C2×#120—594no—
884C4×#41—592no—
885C4×#41—594no—
886C4×#41—598no—
887C4×#41—594no—
888C4×#41—592no—
889C4×#41—594no—
890C4×#41—592no—
891C4×#41—594no—
892C4×#41C2×D5912yescomplemented
893C2×C4×Q8—594no—
894C2×C4×Q8—594no—
895C2×C4×D4—598no—
896C2×C4×D4—598no—
897C2×C4×D4—594no—
898C2×C4×D4—594no—
899C2×#117—591no—
900C2×#117—594no—
901C2×#117—592no—
902C2×#117—592no—
903C2×#117—594no—
904C2×#117—592no—
905C2×#117—592no—
906C2×#117—592no—
907C2×#117—594no—
908C2×#117—592no—
909C2×#117—592no—
910C2×#117—591no—
911C2×#117—591no—
912C2×#117C2×D5911yescharacteristic, complemented
913C22×C4⋊C4—592no—
914C22×C22⋊C4—592no—
915C22×C42—591no—
916C22×C42—591no—
917C22×C42—594no—
918C59C2×#345511yescharacteristic, complemented, Sylow
919C25—591no—
920C2×#41—592no—
921C2×#41—594no—
922C2×#41—592no—
923C2×#41—594no—
924C2×#41—592no—
925C2×#41—11816no—
926C2×#41C22×D5912yes—
927C22×Q8—592no—
928C22×Q8—594no—
929C22×D4—594no—
930C22×D4—592no—
931C22×D4—598no—
932C22×D4—594no—
933C23×C4—591no—
934C23×C4—591no—
935C23×C4—591no—
936C23×C4—592no—
937C23×C4—592no—
938C23×C4—591no—
939C23×C4—592no—
940C23×C4—592no—
941C23×C4—591no—
942C23×C4—594no—
943C23×C4—592no—
944C23×C4—592no—
945C23×C4—598no—
946C23×C4—1188no—
947C23×C4C22×D5911yescharacteristic
948C4⋊Q8—592no—
949C4⋊Q8—594no—
950C4⋊Q8—594no—
951C4⋊Q8—594no—
952C4⋊Q8—594no—
953C4⋊Q8—591no—
954C4⋊Q8—592no—
955C4⋊Q8C22×D5911yescharacteristic, complemented
956C4⋊Q8C22×D5912yescomplemented
957#127—594no—
958#127—592no—
959#127—591no—
960#127C22×D5911yescharacteristic, complemented
961#126—598no—
962#126—598no—
963#126—598no—
964#126—598no—
965#126—598no—
966#126—598no—
967#126—598no—
968#126—598no—
969#126—598no—
970#126—598no—
971#126—598no—
972#126—598no—
973#126—598no—
974#126—598no—
975#126C22×D5918yes—
976#126C22×D5918yescomplemented
977#125—598no—
978#125—598no—
979#125—598no—
980#125—598no—
981#125—598no—
982#125—598no—
983#125—598no—
984#125—594no—
985#125—598no—
986#125—592no—
987#125C22×D5918yescomplemented
988#125C22×D5912yescomplemented
989#124—598no—
990#124—592no—
991#124—598no—
992#124—592no—
993#124—598no—
994#124—598no—
995#124—598no—
996#124—598no—
997#124—598no—
998#124—598no—
999#124—592no—
1000#124C22×D5918yes—
1001#124C22×D5912yescomplemented
1002#123—594no—
1003#123—598no—
1004#123—598no—
1005#123—594no—
1006#123—598no—
1007#123—598no—
1008#123—598no—
1009#123—598no—
1010#123—598no—
1011#123—598no—
1012#123—598no—
1013#123—598no—
1014#123—594no—
1015#123—598no—
1016#123—598no—
1017#123—598no—
1018#123—598no—
1019#123—598no—
1020#123—598no—
1021#123C22×D5914yes—
1022#123C22×D5918yes—
1023#123C22×D5918yescomplemented
1024C22⋊Q8—594no—
1025C22⋊Q8—598no—
1026C22⋊Q8—594no—
1027C22⋊Q8—594no—
1028C22⋊Q8—598no—
1029C22⋊Q8—594no—
1030C22⋊Q8—598no—
1031C22⋊Q8—594no—
1032C22⋊Q8—598no—
1033C22⋊Q8—598no—
1034C22⋊Q8—598no—
1035C22⋊Q8—598no—
1036C22⋊Q8—594no—
1037C22⋊Q8—598no—
1038C22⋊Q8—598no—
1039C22⋊Q8—598no—
1040C22⋊Q8—598no—
1041C22⋊Q8C22×D5914yes—
1042C22⋊Q8C22×D5914yes—
1043C22⋊Q8C22×D5918yescomplemented
1044#121—594no—
1045#121—598no—
1046#121—598no—
1047#121—598no—
1048#121—598no—
1049#121—594no—
1050#121—598no—
1051#121—594no—
1052#121—598no—
1053#121—594no—
1054#121—594no—
1055#121—598no—
1056#121—594no—
1057#121—598no—
1058#121—598no—
1059#121—598no—
1060#121—598no—
1061#121C22×D5914yes—
1062#121C22×D5918yes—
1063#121C22×D5914yes—
1064#120—594no—
1065#120—594no—
1066#120—598no—
1067#120—598no—
1068#120—594no—
1069#120C22×D5914yes—
1070C4×Q8—594no—
1071C4×Q8—594no—
1072C4×Q8—598no—
1073C4×Q8—594no—
1074C4×Q8—594no—
1075C4×Q8—598no—
1076C4×Q8—598no—
1077C4×Q8—594no—
1078C4×Q8—594no—
1079C4×Q8—598no—
1080C4×Q8C22×D5914yescomplemented
1081C4×Q8C22×D5914yescomplemented
1082C4×D4—598no—
1083C4×D4—594no—
1084C4×D4—598no—
1085C4×D4—594no—
1086C4×D4—598no—
1087C4×D4—598no—
1088C4×D4—598no—
1089C4×D4—598no—
1090C4×D4—598no—
1091C4×D4—598no—
1092C4×D4—598no—
1093C4×D4—594no—
1094C4×D4—598no—
1095C4×D4—594no—
1096C4×D4—598no—
1097C4×D4—598no—
1098C4×D4—598no—
1099C4×D4—598no—
1100C4×D4—598no—
1101C4×D4—598no—
1102C4×D4—598no—
1103C4×D4—594no—
1104C4×D4—598no—
1105C4×D4—594no—
1106C4×D4C22×D5918yes—
1107C4×D4C22×D5918yes—
1108C4×D4C22×D5914yescomplemented
1109C4×D4C22×D5914yescomplemented
1110#117—594no—
1111#117—592no—
1112#117—592no—
1113#117—592no—
1114#117—594no—
1115#117—594no—
1116#117—594no—
1117#117—594no—
1118#117—594no—
1119#117—594no—
1120#117—598no—
1121#117—594no—
1122#117—594no—
1123#117—594no—
1124#117—594no—
1125#117—594no—
1126#117—598no—
1127#117—594no—
1128#117—594no—
1129#117—592no—
1130#117—592no—
1131#117—592no—
1132#117—592no—
1133#117—594no—
1134#117—594no—
1135#117—594no—
1136#117C22×D5914yes—
1137#117C22×D5912yes—
1138#117C22×D5912yes—
1139#117C22×D5912yes—
1140#117C22×D5914yescomplemented
1141C2×C4⋊C4—592no—
1142C2×C4⋊C4—592no—
1143C2×C4⋊C4—592no—
1144C2×C4⋊C4—594no—
1145C2×C4⋊C4—594no—
1146C2×C4⋊C4—594no—
1147C2×C4⋊C4—594no—
1148C2×C4⋊C4—594no—
1149C2×C4⋊C4—598no—
1150C2×C4⋊C4—594no—
1151C2×C4⋊C4—598no—
1152C2×C4⋊C4—598no—
1153C2×C4⋊C4—594no—
1154C2×C4⋊C4C22×D5912yes—
1155C2×C22⋊C4—592no—
1156C2×C22⋊C4—592no—
1157C2×C22⋊C4—592no—
1158C2×C22⋊C4—594no—
1159C2×C22⋊C4—594no—
1160C2×C22⋊C4—594no—
1161C2×C22⋊C4—594no—
1162C2×C22⋊C4—594no—
1163C2×C22⋊C4—598no—
1164C2×C22⋊C4—598no—
1165C2×C22⋊C4—598no—
1166C2×C22⋊C4—598no—
1167C2×C22⋊C4C22×D5912yes—
1168C2×C42—592no—
1169C2×C42—591no—
1170C2×C42—592no—
1171C2×C42—591no—
1172C2×C42—598no—
1173C2×C42—594no—
1174C2×C42—592no—
1175C2×C42—592no—
1176C2×C42—592no—
1177C2×C42—594no—
1178C2×C42—592no—
1179C2×C42—592no—
1180C2×C42—591no—
1181C2×C42—591no—
1182C2×C42—591no—
1183C2×C42—591no—
1184C2×C42—592no—
1185C2×C42—598no—
1186C2×C42—598no—
1187C2×C42—594no—
1188C2×C42—594no—
1189C2×C42C22×D5911yescharacteristic
1190C2×C42C22×D5911yescharacteristic
1191C2×C42C22×D5914yescomplemented
1192C24—591no—
1193C24—592no—
1194C24—594no—
1195C24—592no—
1196C24—591no—
1197C24—1184no—
1198C24—2364no—
1199C24C23×D5911yescharacteristic
1200#41—28no—
1201#41—11816no—
1202#41—11816no—
1203#41—1188no—
1204#41—1188no—
1205#41—1188no—
1206C2×Q8—594no—
1207C2×Q8—592no—
1208C2×Q8—598no—
1209C2×Q8—594no—
1210C2×Q8—1188no—
1211C2×Q8—2368no—
1212C2×Q8C23×D5912yes—
1213C2×Q8C23×D5914yes—
1214C2×D4—594no—
1215C2×D4—594no—
1216C2×D4—594no—
1217C2×D4—598no—
1218C2×D4—598no—
1219C2×D4—598no—
1220C2×D4—594no—
1221C2×D4—592no—
1222C2×D4—598no—
1223C2×D4—594no—
1224C2×D4—1188no—
1225C2×D4—11816no—
1226C2×D4—2368no—
1227C2×D4—23616no—
1228C2×D4C23×D5914yes—
1229C2×D4C23×D5912yes—
1230C2×D4C23×D5918yes—
1231C2×D4C23×D5914yes—
1232C22×C4—24no—
1233C22×C4—591no—
1234C22×C4—598no—
1235C22×C4—591no—
1236C22×C4—591no—
1237C22×C4—591no—
1238C22×C4—591no—
1239C22×C4—594no—
1240C22×C4—591no—
1241C22×C4—592no—
1242C22×C4—592no—
1243C22×C4—592no—
1244C22×C4—592no—
1245C22×C4—598no—
1246C22×C4—594no—
1247C22×C4—592no—
1248C22×C4—594no—
1249C22×C4—598no—
1250C22×C4—592no—
1251C22×C4—594no—
1252C22×C4—592no—
1253C22×C4—592no—
1254C22×C4—592no—
1255C22×C4—592no—
1256C22×C4—592no—
1257C22×C4—594no—
1258C22×C4—592no—
1259C22×C4—594no—
1260C22×C4—592no—
1261C22×C4—592no—
1262C22×C4—598no—
1263C22×C4—598no—
1264C22×C4—1184no—
1265C22×C4—1188no—
1266C22×C4—1188no—
1267C22×C4—1188no—
1268C22×C4—1188no—
1269C22×C4—11816no—
1270C22×C4—1184no—
1271C22×C4—1184no—
1272C22×C4—1184no—
1273C22×C4—2364no—
1274C22×C4—23616no—
1275C22×C4—2364no—
1276C22×C4C23×D5911yescharacteristic
1277C22×C4C23×D5912yes—
1278C22×C4C23×D5914yes—
1279C22×C4C23×D5912yes—
1280C22×C4C23×D5912yes—
1281C22×C4C23×D5912yes—
1282C22×C4C23×D5918yes—
1283C22×C4C23×D5911yescharacteristic
1284C4⋊C4—594no—
1285C4⋊C4—594no—
1286C4⋊C4—594no—
1287C4⋊C4—594no—
1288C4⋊C4—594no—
1289C4⋊C4—594no—
1290C4⋊C4—598no—
1291C4⋊C4—594no—
1292C4⋊C4—598no—
1293C4⋊C4—598no—
1294C4⋊C4—598no—
1295C4⋊C4—598no—
1296C4⋊C4—594no—
1297C4⋊C4—598no—
1298C4⋊C4—598no—
1299C4⋊C4—598no—
1300C4⋊C4—598no—
1301C4⋊C4—598no—
1302C4⋊C4—598no—
1303C4⋊C4—598no—
1304C4⋊C4—594no—
1305C4⋊C4C23×D5914yes—
1306C4⋊C4C23×D5914yes—
1307C4⋊C4C23×D5914yes—
1308C4⋊C4C23×D5918yes—
1309C4⋊C4C23×D5918yes—
1310C4⋊C4C23×D5914yes—
1311C4⋊C4C23×D5918yes—
1312C4⋊C4C23×D5914yes—
1313C22⋊C4—594no—
1314C22⋊C4—594no—
1315C22⋊C4—594no—
1316C22⋊C4—598no—
1317C22⋊C4—598no—
1318C22⋊C4—598no—
1319C22⋊C4—598no—
1320C22⋊C4—594no—
1321C22⋊C4—594no—
1322C22⋊C4—594no—
1323C22⋊C4—594no—
1324C22⋊C4—598no—
1325C22⋊C4—598no—
1326C22⋊C4—598no—
1327C22⋊C4—598no—
1328C22⋊C4—598no—
1329C22⋊C4—598no—
1330C22⋊C4—598no—
1331C22⋊C4—598no—
1332C22⋊C4—598no—
1333C22⋊C4C23×D5914yes—
1334C22⋊C4C23×D5914yes—
1335C22⋊C4C23×D5914yes—
1336C22⋊C4C23×D5918yes—
1337C22⋊C4C23×D5918yes—
1338C22⋊C4C23×D5918yes—
1339C22⋊C4C23×D5918yes—
1340C42—594no—
1341C42—592no—
1342C42—598no—
1343C42—592no—
1344C42—594no—
1345C42—592no—
1346C42—592no—
1347C42—591no—
1348C42—592no—
1349C42—591no—
1350C42—598no—
1351C42—598no—
1352C42—598no—
1353C42—592no—
1354C42—592no—
1355C42—594no—
1356C42C23×D5912yes—
1357C42C23×D5911yescharacteristic
1358C42C23×D5911yescharacteristic
1359C42C23×D5918yes—
1360C42C23×D5912yes—
1361C42C23×D5912yes—
1362C42C23×D5914yes—
1363C23—22no—
1364C23—42no—
1365C23—591no—
1366C23—594no—
1367C23—591no—
1368C23—592no—
1369C23—594no—
1370C23—1184no—
1371C23—1184no—
1372C23—1184no—
1373C23—1188no—
1374C23—11816no—
1375C23—1188no—
1376C23—1182no—
1377C23—2362no—
1378C23—2364no—
1379C23—23616no—
1380C23C24×D5912yes—
1381C23C24×D5914yes—
1382C23C24×D5911yescharacteristic
1383Q8—24no—
1384Q8—44no—
1385Q8—1188no—
1386Q8—1184no—
1387Q8—2368no—
1388Q8—2364no—
1389D4—28no—
1390D4—24no—
1391D4—44no—
1392D4—48no—
1393D4—1188no—
1394D4—1188no—
1395D4—1188no—
1396D4—1188no—
1397D4—1184no—
1398D4—2364no—
1399D4—2368no—
1400D4—2368no—
1401D4—2368no—
1402D4—2368no—
1403C2×C4—22no—
1404C2×C4—24no—
1405C2×C4—24no—
1406C2×C4—28no—
1407C2×C4—42no—
1408C2×C4—48no—
1409C2×C4—42no—
1410C2×C4—594no—
1411C2×C4—591no—
1412C2×C4—591no—
1413C2×C4—594no—
1414C2×C4—594no—
1415C2×C4—594no—
1416C2×C4—594no—
1417C2×C4—594no—
1418C2×C4—592no—
1419C2×C4—594no—
1420C2×C4—598no—
1421C2×C4—592no—
1422C2×C4—592no—
1423C2×C4—1184no—
1424C2×C4—1184no—
1425C2×C4—1188no—
1426C2×C4—1184no—
1427C2×C4—1184no—
1428C2×C4—1188no—
1429C2×C4—1188no—
1430C2×C4—1184no—
1431C2×C4—11816no—
1432C2×C4—1184no—
1433C2×C4—1184no—
1434C2×C4—1184no—
1435C2×C4—1188no—
1436C2×C4—1182no—
1437C2×C4—1184no—
1438C2×C4—1184no—
1439C2×C4—1188no—
1440C2×C4—2364no—
1441C2×C4—2368no—
1442C2×C4—2362no—
1443C2×C4—2368no—
1444C2×C4—2362no—
1445C2×C4—2362no—
1446C2×C4—2368no—
1447C2×C4—2362no—
1448C2×C4#41×D5914yes—
1449C2×C4C24×D5914yes—
1450C2×C4C24×D5912yes—
1451C2×C4C24×D5914yes—
1452C2×C4C24×D5918yes—
1453C2×C4C24×D5912yes—
1454C2×C4C24×D5912yes—
1455C2×C4C24×D5911yescharacteristic
1456C2×C4C24×D5911yescharacteristic
1457C22—22no—
1458C22—22no—
1459C22—24no—
1460C22—28no—
1461C22—24no—
1462C22—44no—
1463C22—592no—
1464C22—594no—
1465C22—592no—
1466C22—1188no—
1467C22—1182no—
1468C22—1182no—
1469C22—1184no—
1470C22—1188no—
1471C22—1184no—
1472C22—2364no—
1473C22—2368no—
1474C22—23616no—
1475C22—2368no—
1476C22C2×#41×D5912yes—
1477C22C25×D5911yescharacteristic
1478C4—22no—
1479C4—24no—
1480C4—24no—
1481C4—22no—
1482C4—28no—
1483C4—22no—
1484C4—592no—
1485C4—592no—
1486C4—1182no—
1487C4—1184no—
1488C4—1184no—
1489C4—1182no—
1490C4—1188no—
1491C4—1182no—
1492C4C2×#41×D5912yes—
1493C4C2×#41×D5912yes—
1494C2—22no—
1495C2—42no—
1496C2—44no—
1497C2—594no—
1498C2—1182no—
1499C2—2362no—
1500C2—2364no—
1501C2C22×#41×D5911yescharacteristic
1502C2#585×D5912yes—
subgroupG/H
centerC2×C4C24×D59
commutator, socle, cosocleC22×C59C26
FrattiniC22C25×D59
FittingC59×#3455C2
hypercenter#3455D59
hypocenterC59C2×#3455
LCSG ▷ C22×C59 ▷ C59
UCSC1 ◁ C2×C4 ◁ #3455

Complements

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

NH ≅ G/Ntype
1. #21437488C2semidirect
2. #21437487C2semidirect
3. #21437486C2semidirect
4. #21437485C2semidirect
5. #21437484C2semidirect
6. #21437483C2semidirect
7. #21437482C2semidirect
8. #21437481C2semidirect
9. #21437480C2semidirect
10. #21437479C2semidirect
11. #21437478C2semidirect
12. #542×D59C2semidirect
13. #541×D59C2semidirect
14. #540×D59C2semidirect
15. #539×D59C2semidirect
16. #538×D59C2semidirect
17. #533×D59C2semidirect
18. #532×D59C2semidirect
19. #529×D59C2semidirect
20. #525×D59C2semidirect
21. C4×#41×D59C2semidirect
22. C2×#117×D59C2semidirect
23. C59×#3455C2semidirect
26. #16838026C22semidirect
27. #16838025C22semidirect
28. #16838024C22semidirect
29. #16838023C22semidirect
30. #16838022C22semidirect
31. #16838021C22semidirect
32. #16838020C22semidirect
33. #16838019C22semidirect
34. #16838018C22semidirect
35. #16838017C22semidirect
36. #16838016C22semidirect
37. #16838015C22semidirect
38. #16838014C22semidirect
39. #16838013C22semidirect
40. #16838012C22semidirect
41. #16838011C22semidirect
42. #16838010C22semidirect
43. #16838009C22semidirect
44. #16838008C22semidirect
45. #16838007C22semidirect
46. #16838006C22semidirect
47. #16838005C22semidirect
48. #16838004C22semidirect
49. #16838003C22semidirect
50. #16838002C22semidirect
51. #16838001C22semidirect
52. #16838000C22semidirect
53. #16837999C22semidirect
54. #16837998C22semidirect
55. #16837997C22semidirect
56. #16837996C22semidirect
57. #16837995C22semidirect
58. #16837994C22semidirect
59. #16837993C22semidirect
60. #16837992C22semidirect
61. #16837991C22semidirect
62. #16837990C22semidirect
63. #16837989C22semidirect
64. #16837988C22semidirect
65. #16837987C22semidirect
66. #16837986C22semidirect
67. #16837985C22semidirect
68. #16837984C22semidirect
69. #16837959C22semidirect
70. #16837958C22semidirect
71. #16837957C22semidirect
72. #16837956C22semidirect
73. #16837955C22semidirect
74. #16837954C22semidirect
75. #16837953C22semidirect
76. #16837952C22semidirect
77. #16837951C22semidirect
78. #16837950C22semidirect
79. #16837949C22semidirect
80. #16837948C22semidirect
81. #16837947C22semidirect
82. C4⋊Q8×D59C22semidirect
83. C4⋊Q8×D59C22semidirect
84. #127×D59C22semidirect
85. #16837939C22semidirect
86. #16837938C22semidirect
87. #16837937C22semidirect
88. #16837936C22semidirect
89. #16837935C22semidirect
90. #16837935C22semidirect
91. #16837934C22semidirect
92. #16837933C22semidirect
93. #16837932C22semidirect
94. #16837932C22semidirect
95. #16837931C22semidirect
96. #16837930C22semidirect
97. #16837930C22semidirect
98. #16837929C22semidirect
99. #16837929C22semidirect
101. #126×D59C22semidirect
102. #125×D59C22semidirect
103. #125×D59C22semidirect
105. #124×D59C22semidirect
106. #16837915C22semidirect
107. #16837914C22semidirect
108. #16837913C22semidirect
109. #16837912C22semidirect
110. #16837911C22semidirect
111. #16837910C22semidirect
112. #16837909C22semidirect
113. #16837908C22semidirect
116. #123×D59C22semidirect
119. C22⋊Q8×D59C22semidirect
124. #41×Dic59C22semidirect
125. C4×#11745689C22semidirect
126. C4×#11745685C22semidirect
127. C4×#11745685C22semidirect
128. #16837870C22semidirect
129. #16837870C22semidirect
130. C4×#11745687C22semidirect
131. C4×#11745687C22semidirect
132. C4×Q8×D59C22semidirect
133. C4×Q8×D59C22semidirect
136. C4×D4×D59C22semidirect
137. C4×D4×D59C22semidirect
138. C2×#14273686C22semidirect
139. C2×#14273685C22semidirect
140. C2×#14273684C22semidirect
141. C2×#14273684C22semidirect
142. C2×#14273683C22semidirect
147. #117×D59C22semidirect
148. #117×D59C22semidirect
149. #117×D59C22semidirect
150. #117×D59C22semidirect
155. C2×C42×D59C22semidirect
156. C59×#542C22semidirect
157. C59×#541C22semidirect
158. C59×#540C22semidirect
159. C59×#539C22semidirect
160. C59×#538C22semidirect
161. C59×#533C22semidirect
162. C59×#532C22semidirect
163. C59×#529C22semidirect
164. C59×#525C22semidirect
165. C4×#41×C59C22semidirect
166. C2×#117×C59C22semidirect
194. #14273727C23semidirect
195. #14273727C23semidirect
196. #14273726C23semidirect
197. #14273726C23semidirect
198. #14273726C23semidirect
199. #14273725C23semidirect
200. #14273725C23semidirect
201. #14273724C23semidirect
202. #14273723C23semidirect
203. #14273723C23semidirect
207. #14273722C23semidirect
208. #14273722C23semidirect
209. #14273722C23semidirect
211. #14273721C23semidirect
215. #14273720C23semidirect
216. #14273720C23semidirect
217. #14273720C23semidirect
218. #14273719C23semidirect
219. #14273719C23semidirect
220. #14273718C23semidirect
221. #14273718C23semidirect
222. #14273718C23semidirect
223. #14273717C23semidirect
224. #14273717C23semidirect
225. #14273717C23semidirect
226. #14273717C23semidirect
227. #14273717C23semidirect
229. #14273716C23semidirect
231. #14273715C23semidirect
233. #14273714C23semidirect
238. #14273713C23semidirect
242. #14273712C23semidirect
243. #14273712C23semidirect
246. #14273711C23semidirect
249. #14273710C23semidirect
253. #14273709C23semidirect
254. #14273709C23semidirect
257. #14273708C23semidirect
260. #14273707C23semidirect
263. #14273706C23semidirect
266. #14273705C23semidirect
267. #14273705C23semidirect
270. #14273704C23semidirect
271. #14273704C23semidirect
274. #14273703C23semidirect
297. Q8×Dic59C23semidirect
298. Q8×Dic59C23semidirect
299. C4×Dic118C23semidirect
300. C4×Dic118C23semidirect
301. C4×Dic118C23semidirect
302. C4×Dic118C23semidirect
303. #14273692C23semidirect
304. #14273692C23semidirect
305. #14273692C23semidirect
306. #14273692C23semidirect
309. C4×D236C23semidirect
310. C4×D236C23semidirect
313. D4×Dic59C23semidirect
314. D4×Dic59C23semidirect
317. #14273689C23semidirect
318. #14273689C23semidirect
323. C4×C22⋊D59C23semidirect
324. C4×C22⋊D59C23semidirect
329. (C22⋊D59)⋊C4C23semidirect
330. (C22⋊D59)⋊C4C23semidirect
335. #14273686C23semidirect
341. #14273685C23semidirect
349. #14273684C23semidirect
350. #14273684C23semidirect
356. #14273683C23semidirect
386. C2×C4×Dic59C23semidirect
387. C2×C4×Dic59C23semidirect
400. C42×D59C23semidirect
401. C42×D59C23semidirect
402. C42×D59C23semidirect
405. C4⋊Q8×C59C23semidirect
406. C4⋊Q8×C59C23semidirect
407. #127×C59C23semidirect
409. #126×C59C23semidirect
410. #125×C59C23semidirect
411. #125×C59C23semidirect
413. #124×C59C23semidirect
416. #123×C59C23semidirect
419. C22⋊Q8×C59C23semidirect
424. C4×Q8×C59C23semidirect
425. C4×Q8×C59C23semidirect
428. C4×D4×C59C23semidirect
429. C4×D4×C59C23semidirect
434. #117×C59C23semidirect
439. C2×C42×C59C23semidirect
754. #3455D59direct (N × H)
774. D59#3455direct (N × H)
788. #542C2×D59semidirect
796. #541C2×D59semidirect
804. #540C2×D59semidirect
814. #539C2×D59semidirect
824. #538C2×D59semidirect
831. #533C2×D59semidirect
839. #532C2×D59semidirect
858. #529C2×D59semidirect
873. #525C2×D59semidirect
892. C4×#41C2×D59semidirect
912. C2×#117C2×D59semidirect
918. C59C2×#3455semidirect
955. C4⋊Q8C22×D59semidirect
956. C4⋊Q8C22×D59semidirect
960. #127C22×D59semidirect
976. #126C22×D59semidirect
987. #125C22×D59semidirect
988. #125C22×D59semidirect
1001. #124C22×D59semidirect
1023. #123C22×D59semidirect
1043. C22⋊Q8C22×D59semidirect
1080. C4×Q8C22×D59semidirect
1081. C4×Q8C22×D59semidirect
1108. C4×D4C22×D59semidirect
1109. C4×D4C22×D59semidirect
1140. #117C22×D59semidirect
1191. C2×C42C22×D59semidirect

Maximal subgroups

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

subgroupindex
#214374882
#214374872
#214374862
#214374852
#214374842
#214374832
#214374822
#214374812
#214374802
#214374792
#214374782
#542×D592
#541×D592
#540×D592
#539×D592
#538×D592
#533×D592
#532×D592
#529×D592
#525×D592
C4×#41×D592
C2×#117×D592
C59×#34552
C2×#345559