Finite Group Databasebeta

← D59×#3512 #29497184

Subgroups — D59×#3512 #29497184

Order 15104.

7238 conjugacy classes of subgroups.

The subgroup lattice has 1522 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438020C211yesmaximal, characteristic, complemented
2#21438019C212yesmaximal, complemented
3#21438018C211yesmaximal, characteristic, complemented
4#21438017C212yesmaximal, complemented
5#21438016C211yesmaximal, characteristic, complemented
6#21438015C212yesmaximal, complemented
7#21438014C214yesmaximal, complemented
8#21438013C212yesmaximal, complemented
9#21438012C218yesmaximal, complemented
10#21438011C214yesmaximal, complemented
11#21438010C214yesmaximal, complemented
12#553×D59C214yesmaximal, complemented
13#553×D59C218yesmaximal, complemented
14#552×D59C214yesmaximal, complemented
15#541×D59C212yesmaximal, complemented
16#540×D59C212yesmaximal, complemented
17#537×D59C212yesmaximal, complemented
18#532×D59C211yesmaximal, characteristic, complemented
19#529×D59C214yesmaximal, complemented
20C2×#125×D59C211yesmaximal, characteristic, complemented
21#520×D59C212yesmaximal, complemented
22C4×#41×D59C211yesmaximal, characteristic, complemented
23C59×#3512C211yesmaximal, characteristic, complemented
24C2×#41×D59C2211yescharacteristic
25C2×#41×D59C2212yes—
26#16838105C2218yescomplemented
27#16838105C2214yescomplemented
28#16838104C2218yescomplemented
29#16838104C2214yescomplemented
30#16838103C2218yescomplemented
31#16838103C2218yescomplemented
32#16838103C2218yescomplemented
33#16838102C2218yescomplemented
34#16838102C2214yescomplemented
35#16838101C2218yescomplemented
36#16838101C2218yescomplemented
37#16838101C2218yescomplemented
38#16838100C2214yescomplemented
39#16838100C2218yescomplemented
40#16838099C2218yescomplemented
41#16838099C2214yescomplemented
42#16838098C2214yescomplemented
43#16838098C2218yescomplemented
44#16838097C2218yescomplemented
45#16838097C2218yescomplemented
46#16838097C2218yescomplemented
47#16838096C2218yescomplemented
48#16838096C2214yescomplemented
49#16838095C2218yescomplemented
50#16838095C2218yescomplemented
51#16838095C2218yescomplemented
52#16838094C2214yescomplemented
53#16838093C2214yescomplemented
54#16838092C2214yescomplemented
55#16838091C2214yescomplemented
56#16838090C2214yescomplemented
57#16838089C2218yescomplemented
58#16838088C2218yescomplemented
59#16838087C2214yescomplemented
60#16838086C2214yescomplemented
61#16838085C2218yescomplemented
62#16838084C2218yescomplemented
63#16838015C2212yescomplemented
64#16838014C2212yescomplemented
65#16838013C2212yescomplemented
66#16838012C2214yescomplemented
67#16838011C2218yescomplemented
68#16838010C2214yescomplemented
69#16838009C2218yescomplemented
70#16838008C2212yescomplemented
71#16838007C2212yescomplemented
72#16838006C2212yescomplemented
73#16838005C2214yescomplemented
74#16838004C2218yescomplemented
75#16838003C2214yescomplemented
76#16838002C2218yescomplemented
77#16837983C2212yescomplemented
78#16837982C2214yescomplemented
79#16837982C2214yescomplemented
80#16837981C2214yescomplemented
81#16837981C2214yescomplemented
82#16837980C2212yescomplemented
83#16837980C2212yescomplemented
84#16837979C2218yescomplemented
85#16837953C2211yescharacteristic, complemented
86#16837952C2211yescharacteristic, complemented
87#16837951C2212yescomplemented
88#16837950C2211yescharacteristic, complemented
89#16837949C2214yescomplemented
90#16837948C2212yescomplemented
91#16837947C2214yescomplemented
92C4⋊Q8×D59C2211yescharacteristic
93#127×D59C2211yescharacteristic
94#16837939C2214yescomplemented
95#16837938C2214yescomplemented
96#16837937C2214yescomplemented
97#16837936C2214yescomplemented
98#16837935C2218yescomplemented
99#16837934C2214yescomplemented
100#16837933C2214yescomplemented
101#16837932C2218yescomplemented
102#16837931C2214yescomplemented
103#16837930C2218yescomplemented
104#16837929C2218yescomplemented
105#126×D59C2218yes—
106#126×D59C2218yes—
107C2×#14273719C2211yescharacteristic, complemented
108C2×#14273718C2212yescomplemented
109C2×#14273717C2214yescomplemented
110#125×D59C2212yes—
111#125×D59C2218yes—
112#125×D59C2214yes—
113#125×D59C2212yes—
114#125×D59C2214yescomplemented
115#125×D59C2212yescomplemented
116#125×D59C2212yescomplemented
117#124×D59C2212yes—
118#123×D59C2218yes—
119#123×D59C2218yes—
120C22⋊Q8×D59C2214yes—
121C22⋊Q8×D59C2214yes—
122#121×D59C2214yes—
123#121×D59C2218yes—
124#121×D59C2214yes—
125#121×D59C2218yes—
126#121×D59C2214yes—
127#16837885C2212yescomplemented
128#16837884C2214yescomplemented
129#16837883C2214yescomplemented
130#16837883C2212yescomplemented
131#16837882C2214yescomplemented
132#16837882C2212yescomplemented
133#16837881C2214yescomplemented
134#16837881C2218yescomplemented
135#41×Dic59C2211yescharacteristic, complemented
136C4×#11745689C2212yescomplemented
137C4×#11745685C2212yescomplemented
138C4×#11745685C2211yescharacteristic, complemented
139#16837870C2211yescharacteristic, complemented
140#16837870C2212yescomplemented
141C4×#11745687C2214yescomplemented
142C4×#11745687C2212yescomplemented
143C4×Q8×D59C2214yes—
144C4×Q8×D59C2212yes—
145C4×D4×D59C2214yes—
146C4×D4×D59C2214yes—
147C4×D4×D59C2212yes—
148C4×D4×D59C2218yes—
149C4×D4×D59C2214yes—
150C4×D4×D59C2218yes—
151#117×D59C2212yes—
152#117×D59C2211yescharacteristic
153#117×D59C2214yes—
154#117×D59C2218yes—
155C2×C4⋊C4×D59C2214yes—
156C2×C4⋊C4×D59C2212yes—
157C2×C4⋊C4×D59C2214yes—
158C2×C42×D59C2211yescharacteristic
159C2×C42×D59C2212yes—
160C59×#553C2218yescomplemented
161C59×#553C2214yescomplemented
162C59×#552C2214yescomplemented
163C59×#541C2212yescomplemented
164C59×#540C2212yescomplemented
165C59×#537C2212yescomplemented
166C59×#532C2211yescharacteristic, complemented
167C59×#529C2214yescomplemented
168C2×#125×C59C2211yescharacteristic, complemented
169C59×#520C2212yescomplemented
170C4×#41×C59C2211yescharacteristic, complemented
171C2×#11745689C2312yes—
172C2×#11745689C2311yescharacteristic
173C2×#11745685C2312yes—
174C2×#11745685C2314yes—
175C2×#11745685C2311yescharacteristic
176C2×#11745685C2312yes—
177C2×#11745687C2314yes—
178C2×#11745687C2312yes—
179C2×#11745687C2312yes—
180C2×#11745687C2311yescharacteristic
181#41×D59—28no—
182#41×D59—216no—
183C2×Q8×D59C2311yescharacteristic
184C2×Q8×D59C2312yes—
185C2×D4×D59C2314yes—
186C2×D4×D59C2312yes—
187C2×D4×D59C2311yescharacteristic
188C2×D4×D59C2312yes—
189C2×D4×D59C2318yes—
190C2×D4×D59C2314yes—
191C22×C4×D59C2312yes—
192C22×C4×D59C2314yes—
193C22×C4×D59C2312yes—
194C22×C4×D59C2314yes—
195C22×C4×D59C2318yes—
196C22×C4×D59C2314yes—
197C22×C4×D59C2311yescharacteristic
198#14273727C2311yescharacteristic
199#14273726C2314yes—
200#14273725C2312yes—
201#14273724C2311yescharacteristic
202#14273723C2314yes—
203#14273723C2312yes—
204#14273722C2318yes—
205#14273722C2318yes—
206#14273722C2318yes—
207#14273722C2318yes—
208#14273722C2318yes—
209#14273722C2318yes—
210#14273721C2318yes—
211#14273721C2318yes—
212#14273720C2318yes—
213#14273720C2318yes—
214#14273720C2318yes—
215#14273720C2318yes—
216#14273720C2318yes—
217#14273720C2318yes—
218#14273719C2312yes—
219#14273719C2312yes—
220#14273719C2314yes—
221#14273719C2318yes—
222#14273718C2314yes—
223#14273718C2314yes—
224#14273718C2314yes—
225#14273718C2314yes—
226#14273718C2318yes—
227#14273718C2318yes—
228#14273717C2318yes—
229#14273717C2318yes—
230#14273717C2318yes—
231#14273717C2318yes—
232#14273717C2318yes—
233#14273717C2318yes—
234#14273717C2318yes—
235#14273717C2318yes—
236#14273716C2312yes—
237#14273715C2312yes—
238#14273714C2312yes—
239#14273713C2314yes—
240#14273713C2314yes—
241#14273712C2318yes—
242#14273712C2318yes—
243#14273712C2318yes—
244#14273712C2318yes—
245#14273711C2318yes—
246#14273711C2318yes—
247#14273710C2318yes—
248#14273710C2318yes—
249#14273709C2318yes—
250#14273709C2318yes—
251#14273709C2318yes—
252#14273709C2318yes—
253#14273708C2318yes—
254#14273708C2318yes—
255#14273707C2314yes—
256#14273707C2314yes—
257#14273706C2314yes—
258#14273706C2314yes—
259#14273705C2318yes—
260#14273705C2318yes—
261#14273704C2318yes—
262#14273704C2318yes—
263#14273703C2314yes—
264#14273703C2314yes—
265#14273702C2314yes—
266#14273702C2314yes—
267#14273702C2318yes—
268#14273702C2314yes—
269#14273702C2318yes—
270#14273701C2314yes—
271#14273701C2314yes—
272#14273701C2318yes—
273#14273701C2314yes—
274#14273701C2318yes—
275#14273700C2318yes—
276#14273700C2314yes—
277#14273700C2314yes—
278#14273700C2318yes—
279#14273700C2318yes—
280#14273700C2318yes—
281#14273700C2318yes—
282#14273700C2318yes—
283#14273699C2318yes—
284#14273699C2314yes—
285#14273699C2314yes—
286#14273699C2318yes—
287#14273699C2318yes—
288#14273699C2318yes—
289#14273699C2318yes—
290#14273699C2318yes—
291#14273698C2314yes—
292#14273698C2314yes—
293#14273698C2314yes—
294#14273698C2318yes—
295#14273698C2318yes—
296Q8×Dic59C2314yes—
297Q8×Dic59C2312yes—
298C4×Dic118C2318yes—
299C4×Dic118C2314yes—
300C4×Dic118C2314yes—
301C4×Dic118C2312yes—
302#14273692C2318yes—
303#14273692C2314yes—
304#14273692C2314yes—
305#14273692C2312yes—
306C4×D236C2318yes—
307C4×D236C2314yes—
308C4×D236C2314yes—
309C4×D236C2314yes—
310C4×D236C2318yes—
311C4×D236C2312yes—
312D4×Dic59C2318yes—
313D4×Dic59C2314yes—
314D4×Dic59C2314yes—
315D4×Dic59C2318yes—
316D4×Dic59C2314yes—
317D4×Dic59C2312yes—
318#14273689C2318yes—
319#14273689C2314yes—
320#14273689C2314yes—
321#14273689C2312yes—
322#14273689C2314yes—
323#14273689C2318yes—
324C4×C22⋊D59C2318yes—
325C4×C22⋊D59C2318yes—
326C4×C22⋊D59C2318yes—
327C4×C22⋊D59C2314yes—
328C4×C22⋊D59C2314yes—
329C4×C22⋊D59C2314yes—
330C4×C22⋊D59C2318yes—
331C4×C22⋊D59C2318yes—
332C4×C22⋊D59C2314yes—
333C4×C22⋊D59C2314yes—
334(C22⋊D59)⋊C4C2318yes—
335(C22⋊D59)⋊C4C2318yes—
336(C22⋊D59)⋊C4C2318yes—
337(C22⋊D59)⋊C4C2314yes—
338(C22⋊D59)⋊C4C2314yes—
339(C22⋊D59)⋊C4C2314yes—
340(C22⋊D59)⋊C4C2318yes—
341(C22⋊D59)⋊C4C2314yes—
342(C22⋊D59)⋊C4C2318yes—
343(C22⋊D59)⋊C4C2314yes—
344#14273686C2318yes—
345#14273686C2312yes—
346#14273686C2314yes—
347#14273686C2311yescharacteristic
348#14273685C2318yes—
349#14273685C2318yes—
350#14273685C2314yes—
351#14273685C2314yes—
352#14273685C2314yes—
353#14273685C2312yes—
354#14273684C2318yes—
355#14273684C2318yes—
356#14273684C2312yes—
357#14273684C2312yes—
358#14273684C2318yes—
359#14273684C2312yes—
360#14273683C2318yes—
361#14273683C2318yes—
362#14273683C2314yes—
363#14273683C2318yes—
364#14273683C2312yes—
365C2×C4⋊Dic59C2314yes—
366C2×C4⋊Dic59C2312yes—
367C2×C4⋊Dic59C2314yes—
368C2×Dic59⋊C4C2314yes—
369C2×Dic59⋊C4C2314yes—
370C2×Dic59⋊C4C2314yes—
371C2×Dic59⋊C4C2318yes—
372C4⋊C4×D59C2318yes—
373C4⋊C4×D59C2314yes—
374C4⋊C4×D59C2314yes—
375C4⋊C4×D59C2318yes—
376C4⋊C4×D59C2314yes—
377C4⋊C4×D59C2314yes—
378C4⋊C4×D59C2318yes—
379C4⋊C4×D59C2318yes—
380C4⋊C4×D59C2314yes—
381C4⋊C4×D59C2314yes—
382C4⋊C4×D59C2318yes—
383C4⋊C4×D59C2318yes—
384C4⋊C4×D59C2318yes—
385C4⋊C4×D59C2314yes—
386C4⋊C4×D59C2314yes—
387C4⋊C4×D59C2312yes—
388C22⋊C4×D59C2318yes—
389C22⋊C4×D59C2318yes—
390C22⋊C4×D59C2314yes—
391C22⋊C4×D59C2314yes—
392C22⋊C4×D59C2318yes—
393C22⋊C4×D59C2314yes—
394C22⋊C4×D59C2312yes—
395C2×C4×Dic59C2312yes—
396C2×C4×Dic59C2311yescharacteristic
397C2×C4×Dic59C2314yes—
398C2×C4×Dic59C2312yes—
399C42×D59C2311yescharacteristic
400C42×D59C2311yescharacteristic
401C42×D59C2312yes—
402C42×D59C2318yes—
403C42×D59C2312yes—
404C42×D59C2311yescharacteristic
405C42×D59C2311yescharacteristic
406C42×D59C2314yes—
407C42×D59C2314yes—
408C42×D59C2312yes—
409C42×D59C2312yes—
410C42×D59C2312yes—
411C2×#41×C59C2312yes—
412C2×#41×C59C2311yescharacteristic
413C4⋊Q8×C59C2311yescharacteristic
414#127×C59C2311yescharacteristic
415#126×C59C2318yes—
416#126×C59C2318yes—
417#125×C59C2312yes—
418#125×C59C2312yes—
419#125×C59C2314yes—
420#125×C59C2318yes—
421#124×C59C2312yes—
422#123×C59C2318yes—
423#123×C59C2318yes—
424C22⋊Q8×C59C2314yes—
425C22⋊Q8×C59C2314yes—
426#121×C59C2314yes—
427#121×C59C2314yes—
428#121×C59C2318yes—
429#121×C59C2314yes—
430#121×C59C2318yes—
431C4×Q8×C59C2314yes—
432C4×Q8×C59C2312yes—
433C4×D4×C59C2318yes—
434C4×D4×C59C2314yes—
435C4×D4×C59C2314yes—
436C4×D4×C59C2314yes—
437C4×D4×C59C2312yes—
438C4×D4×C59C2318yes—
439#117×C59C2318yes—
440#117×C59C2312yes—
441#117×C59C2311yescharacteristic
442#117×C59C2314yes—
443C2×C4⋊C4×C59C2314yes—
444C2×C4⋊C4×C59C2312yes—
445C2×C4⋊C4×C59C2314yes—
446C2×C42×C59C2311yescharacteristic
447C2×C42×C59C2312yes—
448C23×D59C2414yes—
449C23×D59C2412yes—
450C23×D59C2411yescharacteristic
451#41×C59—28no—
452#41×C59—24no—
453C2×Q8×C59C2411yescharacteristic
454C2×Q8×C59C2412yes—
455C2×D4×C59C2411yescharacteristic
456C2×D4×C59C2412yes—
457C2×D4×C59C2414yes—
458C2×D4×C59C2412yes—
459C2×D4×C59C2418yes—
460C2×D4×C59C2414yes—
461C22×C4×C59C2412yes—
462C22×C4×C59C2414yes—
463C22×C4×C59C2412yes—
464C22×C4×C59C2414yes—
465C22×C4×C59C2414yes—
466C22×C4×C59C2418yes—
467C22×C4×C59C2411yescharacteristic
468C2×C22⋊D59C2414yes—
469C2×C22⋊D59C2412yes—
470C2×C22⋊D59C2412yes—
471C2×C22⋊D59C2412yes—
472C2×C22⋊D59C2414yes—
473C2×C22⋊D59C2414yes—
474C2×C22⋊D59C2418yes—
475C2×C22⋊D59C2414yes—
476C2×C22⋊D59C2418yes—
477C2×C22⋊D59C2414yes—
478C22×Dic59C2412yes—
479C22×Dic59C2414yes—
480C22×Dic59C2412yes—
481C22×Dic59C2414yes—
482C22×Dic59C2414yes—
483C22×Dic59C2418yes—
484C22×Dic59C2411yescharacteristic
485#11745689—24no—
486#11745689—28no—
487Q8×D59—24no—
488Q8×D59—28no—
489#11745687—216no—
490#11745687—28no—
491#11745687—24no—
492#11745687—28no—
493D4×D59—216no—
494D4×D59—28no—
495D4×D59—24no—
496D4×D59—28no—
497D4×D59—416no—
498D4×D59—48no—
499#11745685—28no—
500#11745685—24no—
501#11745685—216no—
502#11745685—28no—
503C2×D236C2412yes—
504C2×D236C2414yes—
505C2×D236C2411yescharacteristic
506C2×D236C2412yes—
507C2×D236C2418yes—
508C2×D236C2414yes—
509C2×C4×D59—216no—
510C2×C4×D59—28no—
511C2×C4×D59—48no—
512C2×C4×D59—416no—
513C2×C4×D59—44no—
514C2×C4×D59—48no—
515C2×C4×D59#4118yes—
516C2×C4×D59C2412yes—
517C2×C4×D59C2414yes—
518C2×C4×D59C2414yes—
519C2×C4×D59C2412yes—
520C2×C4×D59C2412yes—
521C2×C4×D59C2412yes—
522C2×C4×D59C2412yes—
523C2×C4×D59C2418yes—
524C2×C4×D59C2414yes—
525C2×C4×D59C2414yes—
526C2×C4×D59C2412yes—
527C2×C4×D59C2412yes—
528C2×C4×D59C2414yes—
529C2×C4×D59C2414yes—
530C2×C4×D59C2418yes—
531C2×C4×D59C2418yes—
532C2×C4×D59C2418yes—
533C2×C4×D59C2411yescharacteristic
534C2×C4×D59C2411yescharacteristic
535C2×C4×D59C2411yescharacteristic
536C2×C4×D59C2411yescharacteristic
537C2×Dic118C2412yes—
538C2×Dic118C2414yes—
539C2×Dic118C2411yescharacteristic
540C2×Dic118C2412yes—
541C4⋊C4×C59C2412yes—
542C4⋊C4×C59C2414yes—
543C4⋊C4×C59C2418yes—
544C4⋊C4×C59C2414yes—
545C4⋊C4×C59C2418yes—
546C4⋊C4×C59C2418yes—
547C4⋊C4×C59C2414yes—
548C4⋊C4×C59C2418yes—
549C4⋊C4×C59C2414yes—
550C22⋊C4×C59C2414yes—
551C22⋊C4×C59C2412yes—
552C22⋊C4×C59C2414yes—
553C22⋊C4×C59C2418yes—
554C22⋊C4×C59C2418yes—
555C22⋊C4×C59C2414yes—
556C22⋊C4×C59C2418yes—
557C42×C59C2411yescharacteristic
558C42×C59C2412yes—
559C42×C59C2414yes—
560C42×C59C2411yescharacteristic
561C42×C59C2412yes—
562C42×C59C2418yes—
563C22⋊Dic59C2414yes—
564C22⋊Dic59C2412yes—
565C22⋊Dic59C2414yes—
566C22⋊Dic59C2418yes—
567C22⋊Dic59C2418yes—
568C22⋊Dic59C2414yes—
569C22⋊Dic59C2418yes—
570(C2×D59)⋊C4C2414yes—
571(C2×D59)⋊C4C2414yes—
572(C2×D59)⋊C4C2414yes—
573(C2×D59)⋊C4C2418yes—
574(C2×D59)⋊C4C2414yes—
575(C2×D59)⋊C4C2414yes—
576(C2×D59)⋊C4C2418yes—
577(C2×D59)⋊C4C2418yes—
578(C2×D59)⋊C4C2418yes—
579(C2×D59)⋊C4C2414yes—
580(C2×D59)⋊C4C2414yes—
581(C2×D59)⋊C4C2418yes—
582(C2×D59)⋊C4C2418yes—
583C4⋊Dic59C2412yes—
584C4⋊Dic59C2414yes—
585C4⋊Dic59C2418yes—
586C4⋊Dic59C2414yes—
587C4⋊Dic59C2418yes—
588C4⋊Dic59C2418yes—
589C4⋊Dic59C2414yes—
590C4⋊Dic59C2418yes—
591C4⋊Dic59C2414yes—
592Dic59⋊C4C2414yes—
593Dic59⋊C4C2418yes—
594Dic59⋊C4C2418yes—
595Dic59⋊C4C2418yes—
596Dic59⋊C4C2418yes—
597Dic59⋊C4C2418yes—
598Dic59⋊C4C2418yes—
599Dic59⋊C4C2418yes—
600Dic59⋊C4C2418yes—
601Dic59⋊C4C2414yes—
602Dic59⋊C4C2414yes—
603Dic59⋊C4C2418yes—
604Dic59⋊C4C2418yes—
605Dic59⋊C4C2414yes—
606Dic59⋊C4C2414yes—
607C4×Dic59C2412yes—
608C4×Dic59C2411yescharacteristic
609C4×Dic59C2414yes—
610C4×Dic59C2414yes—
611C4×Dic59C2414yes—
612C4×Dic59C2412yes—
613C4×Dic59C2414yes—
614C4×Dic59C2412yes—
615C4×Dic59C2411yescharacteristic
616C4×Dic59C2412yes—
617C4×Dic59C2412yes—
618C4×Dic59C2412yes—
619C4×Dic59C2418yes—
620C4×Dic59C2418yes—
621C4×Dic59C2418yes—
622C23×C59C2514yes—
623C23×C59C2512yes—
624C23×C59C2511yescharacteristic
625C22×D59—24no—
626C22×D59—28no—
627C22×D59—24no—
628C22×D59—28no—
629C22×D59—28no—
630C22×D59—28no—
631C22×D59C2×#4114yes—
632C22×D59C2514yes—
633C22×D59C2512yes—
634C22×D59C2511yescharacteristic
635C22×D59C2511yescharacteristic
636Q8×C59—24no—
637Q8×C59—22no—
638D4×C59—28no—
639D4×C59—24no—
640D4×C59—24no—
641D4×C59—22no—
642D4×C59—48no—
643D4×C59—44no—
644C2×C4×C59—24no—
645C2×C4×C59—28no—
646C2×C4×C59—44no—
647C2×C4×C59—48no—
648C2×C4×C59—42no—
649C2×C4×C59—44no—
650C2×C4×C59C2×#4114yes—
651C2×C4×C59C2512yes—
652C2×C4×C59C2514yes—
653C2×C4×C59C2512yes—
654C2×C4×C59C2512yes—
655C2×C4×C59C2514yes—
656C2×C4×C59C2518yes—
657C2×C4×C59C2511yescharacteristic
658C2×C4×C59C2511yescharacteristic
659C22⋊D59—28no—
660C22⋊D59—24no—
661C22⋊D59—28no—
662C22⋊D59—24no—
663C22⋊D59—28no—
664C22⋊D59—24no—
665C22⋊D59—48no—
666C22⋊D59—48no—
667C22⋊D59—44no—
668C22⋊D59—44no—
669C2×Dic59—24no—
670C2×Dic59—28no—
671C2×Dic59—44no—
672C2×Dic59—48no—
673C2×Dic59—42no—
674C2×Dic59—44no—
675C2×Dic59C2×#4114yes—
676C2×Dic59C2512yes—
677C2×Dic59C2514yes—
678C2×Dic59C2512yes—
679C2×Dic59C2512yes—
680C2×Dic59C2514yes—
681C2×Dic59C2518yes—
682C2×Dic59C2511yescharacteristic
683C2×Dic59C2511yescharacteristic
684D236—24no—
685D236—28no—
686D236—24no—
687D236—22no—
688D236—48no—
689D236—44no—
690C4×D59—28no—
691C4×D59—24no—
692C4×D59—24no—
693C4×D59—28no—
694C4×D59—216no—
695C4×D59—24no—
696C4×D59—24no—
697C4×D59—28no—
698C4×D59—24no—
699C4×D59—28no—
700C4×D59—44no—
701C4×D59—44no—
702C4×D59—48no—
703C4×D59—42no—
704C4×D59—48no—
705C4×D59—48no—
706C4×D59—42no—
707C4×D59C2×#4114yes—
708C4×D59C2×#4114yes—
709C4×D59C2×#4114yes—
710C4×D59C2×#4114yes—
711Dic118—24no—
712Dic118—22no—
713Dic118—28no—
714Dic118—24no—
715C2×#3512—591nomaximal, Sylow
716C22×C59—22no—
717C22×C59—24no—
718C22×C59—22no—
719C22×C59—24no—
720C22×C59—24no—
721C22×C59—24no—
722C22×C59C22×#4112yes—
723C22×C59C2611yescharacteristic
724C2×D59—22no—
725C2×D59—28no—
726C2×D59—24no—
727C2×D59—22no—
728C2×D59—24no—
729C2×D59—24no—
730C2×D59—24no—
731C2×D59—416no—
732C2×D59—48no—
733C2×D59C22×#4112yes—
734C2×D59C22×#4112yes—
735C2×D59#58514yes—
736C4×C59—24no—
737C4×C59—22no—
738C4×C59—22no—
739C4×C59—24no—
740C4×C59—28no—
741C4×C59—22no—
742C4×C59C22×#4112yes—
743C4×C59C22×#4112yes—
744Dic59—24no—
745Dic59—22no—
746Dic59—22no—
747Dic59—24no—
748Dic59—28no—
749Dic59—22no—
750Dic59C22×#4112yes—
751Dic59C22×#4112yes—
752#3512—598no—
753#3512—594no—
754#3512—594no—
755#3512—592no—
756#3512—592no—
757#3512—592no—
758#3512—591no—
759#3512—594no—
760#3512—591no—
761#3512—592no—
762#3512—591no—
763#3512D5911yescharacteristic, direct product factor
764C2×#553—594no—
765C2×#553—598no—
766C2×#552—594no—
767C2×#541—592no—
768C2×#540—592no—
769C2×#537—592no—
770C2×#532—591no—
771C2×#529—594no—
772C22×#125—591no—
773C2×#520—592no—
774C2×C4×#41—591no—
775C2×C59—22no—
776C2×C59—44no—
777C2×C59—42no—
778C2×C59C23×#4111yescharacteristic
779C2×C59C2×#58512yes—
780D59—22no—
781D59—44no—
782D59—42no—
783D59#351214yesdirect product factor
784C22×#41—591no—
785C22×#41—592no—
786#553—598no—
787#553—598no—
788#553—598no—
789#553—594no—
790#553—598no—
791#553—598no—
792#553—598no—
793#553—598no—
794#553—598no—
795#553—598no—
796#553—598no—
797#553—594no—
798#553—598no—
799#553—594no—
800#553—598no—
801#553—594no—
802#553—598no—
803#553—598no—
804#553—598no—
805#553—598no—
806#553—594no—
807#553—598no—
808#553—594no—
809#553—598no—
810#553—594no—
811#553—598no—
812#553C2×D5914yescomplemented
813#553C2×D5918yescomplemented
814#552—598no—
815#552—598no—
816#552—594no—
817#552—598no—
818#552—594no—
819#552—594no—
820#552—594no—
821#552—594no—
822#552—598no—
823#552—594no—
824#552—594no—
825#552C2×D5914yescomplemented
826#541—592no—
827#541—598no—
828#541—598no—
829#541—592no—
830#541—594no—
831#541—594no—
832#541—592no—
833#541C2×D5912yescomplemented
834#540—592no—
835#540—592no—
836#540—598no—
837#540—598no—
838#540—594no—
839#540—594no—
840#540—592no—
841#540C2×D5912yescomplemented
842#537—592no—
843#537—592no—
844#537—594no—
845#537—594no—
846#537—598no—
847#537—594no—
848#537—594no—
849#537—592no—
850#537C2×D5912yescomplemented
851#532—592no—
852#532—591no—
853#532—591no—
854#532—592no—
855#532—594no—
856#532—594no—
857#532—591no—
858#532C2×D5911yescharacteristic, complemented
859C2×C4⋊Q8—591no—
860C2×#127—591no—
861#529—598no—
862#529—594no—
863#529—594no—
864#529—598no—
865#529—594no—
866#529—594no—
867#529—594no—
868#529—598no—
869#529—594no—
870#529—598no—
871#529—594no—
872#529C2×D5914yescomplemented
873C2×#126—598no—
874C2×#126—598no—
875C2×#125—592no—
876C2×#125—592no—
877C2×#125—594no—
878C2×#125—598no—
879C2×#125—594no—
880C2×#125—592no—
881C2×#125—592no—
882C2×#125—594no—
883C2×#125—592no—
884C2×#125—591no—
885C2×#125C2×D5911yescharacteristic, complemented
886C2×#124—592no—
887C2×#123—598no—
888C2×#123—598no—
889C2×C22⋊Q8—594no—
890C2×C22⋊Q8—594no—
891C2×#121—594no—
892C2×#121—594no—
893C2×#121—598no—
894C2×#121—594no—
895C2×#121—598no—
896#520—592no—
897#520—594no—
898#520—598no—
899#520—594no—
900#520—592no—
901#520—594no—
902#520—594no—
903#520—592no—
904#520C2×D5912yescomplemented
905C4×#41—591no—
906C4×#41—592no—
907C4×#41—594no—
908C4×#41—592no—
909C4×#41—591no—
910C4×#41—592no—
911C4×#41—592no—
912C4×#41—591no—
913C4×#41C2×D5911yescharacteristic, complemented
914C2×C4×Q8—592no—
915C2×C4×Q8—594no—
916C2×C4×D4—594no—
917C2×C4×D4—592no—
918C2×C4×D4—594no—
919C2×C4×D4—598no—
920C2×C4×D4—598no—
921C2×C4×D4—594no—
922C2×#117—591no—
923C2×#117—592no—
924C2×#117—594no—
925C2×#117—598no—
926C22×C4⋊C4—592no—
927C22×C4⋊C4—594no—
928C22×C4⋊C4—594no—
929C22×C42—591no—
930C22×C42—592no—
931C59C2×#351211yescharacteristic, complemented, Sylow
932C2×#41—591no—
933C2×#41—592no—
934C2×#41—592no—
935C2×#41—591no—
936C2×#41—594no—
937C2×#41—592no—
938C2×#41—592no—
939C2×#41—591no—
940C2×#41—594no—
941C2×#41—592no—
942C2×#41—1188no—
943C2×#41—11816no—
944C2×#41C22×D5911yescharacteristic
945C2×#41C22×D5912yes—
946C22×Q8—591no—
947C22×Q8—592no—
948C22×D4—591no—
949C22×D4—592no—
950C22×D4—594no—
951C22×D4—592no—
952C22×D4—598no—
953C22×D4—594no—
954C23×C4—591no—
955C23×C4—594no—
956C23×C4—592no—
957C23×C4—594no—
958C23×C4—592no—
959C23×C4—598no—
960C23×C4—594no—
961C4⋊Q8—592no—
962C4⋊Q8—594no—
963C4⋊Q8—591no—
964C4⋊Q8C22×D5911yescharacteristic
965#127—594no—
966#127—592no—
967#127—591no—
968#127C22×D5911yescharacteristic
969#126—598no—
970#126—598no—
971#126—598no—
972#126—598no—
973#126—598no—
974#126—598no—
975#126—598no—
976#126—598no—
977#126—598no—
978#126—598no—
979#126—598no—
980#126—598no—
981#126—598no—
982#126—598no—
983#126C22×D5918yes—
984#126C22×D5918yes—
985#125—598no—
986#125—594no—
987#125—598no—
988#125—594no—
989#125—598no—
990#125—598no—
991#125—594no—
992#125—594no—
993#125—598no—
994#125—598no—
995#125—598no—
996#125—598no—
997#125—598no—
998#125—598no—
999#125—592no—
1000#125—592no—
1001#125—594no—
1002#125—598no—
1003#125C22×D5912yes—
1004#125C22×D5912yes—
1005#125C22×D5914yes—
1006#125C22×D5918yes—
1007#124—592no—
1008#124—592no—
1009#124—594no—
1010#124—594no—
1011#124—592no—
1012#124C22×D5912yes—
1013#123—598no—
1014#123—598no—
1015#123—598no—
1016#123—598no—
1017#123—598no—
1018#123—598no—
1019#123—598no—
1020#123—598no—
1021#123—598no—
1022#123—598no—
1023#123—598no—
1024#123—598no—
1025#123—598no—
1026#123—598no—
1027#123C22×D5918yes—
1028#123C22×D5918yes—
1029C22⋊Q8—594no—
1030C22⋊Q8—594no—
1031C22⋊Q8—594no—
1032C22⋊Q8—594no—
1033C22⋊Q8—598no—
1034C22⋊Q8—594no—
1035C22⋊Q8—598no—
1036C22⋊Q8—594no—
1037C22⋊Q8—598no—
1038C22⋊Q8—598no—
1039C22⋊Q8C22×D5914yes—
1040C22⋊Q8C22×D5914yes—
1041#121—594no—
1042#121—598no—
1043#121—594no—
1044#121—594no—
1045#121—594no—
1046#121—598no—
1047#121—594no—
1048#121—598no—
1049#121—598no—
1050#121—598no—
1051#121—598no—
1052#121—598no—
1053#121—598no—
1054#121—594no—
1055#121—594no—
1056#121—598no—
1057#121—594no—
1058#121—598no—
1059#121—594no—
1060#121—594no—
1061#121—598no—
1062#121—594no—
1063#121—598no—
1064#121—598no—
1065#121—594no—
1066#121—594no—
1067#121—598no—
1068#121—598no—
1069#121—598no—
1070#121—598no—
1071#121—598no—
1072#121C22×D5914yes—
1073#121C22×D5914yes—
1074#121C22×D5918yes—
1075#121C22×D5914yes—
1076#121C22×D5918yes—
1077C4×Q8—592no—
1078C4×Q8—594no—
1079C4×Q8—594no—
1080C4×Q8—592no—
1081C4×Q8—598no—
1082C4×Q8—594no—
1083C4×Q8—592no—
1084C4×Q8—594no—
1085C4×Q8—598no—
1086C4×Q8—594no—
1087C4×Q8C22×D5912yes—
1088C4×Q8C22×D5914yes—
1089C4×D4—594no—
1090C4×D4—592no—
1091C4×D4—594no—
1092C4×D4—598no—
1093C4×D4—598no—
1094C4×D4—594no—
1095C4×D4—594no—
1096C4×D4—594no—
1097C4×D4—594no—
1098C4×D4—598no—
1099C4×D4—598no—
1100C4×D4—598no—
1101C4×D4—598no—
1102C4×D4—598no—
1103C4×D4—594no—
1104C4×D4—594no—
1105C4×D4—594no—
1106C4×D4—592no—
1107C4×D4—594no—
1108C4×D4—598no—
1109C4×D4—598no—
1110C4×D4—594no—
1111C4×D4—594no—
1112C4×D4—594no—
1113C4×D4—594no—
1114C4×D4—598no—
1115C4×D4—598no—
1116C4×D4—598no—
1117C4×D4—598no—
1118C4×D4—598no—
1119C4×D4—594no—
1120C4×D4—594no—
1121C4×D4—594no—
1122C4×D4—592no—
1123C4×D4—594no—
1124C4×D4—598no—
1125C4×D4—598no—
1126C4×D4—594no—
1127C4×D4C22×D5914yes—
1128C4×D4C22×D5912yes—
1129C4×D4C22×D5914yes—
1130C4×D4C22×D5918yes—
1131C4×D4C22×D5918yes—
1132C4×D4C22×D5914yes—
1133#117—591no—
1134#117—592no—
1135#117—594no—
1136#117—598no—
1137#117—592no—
1138#117—594no—
1139#117—594no—
1140#117—594no—
1141#117—598no—
1142#117—598no—
1143#117—592no—
1144#117—594no—
1145#117—598no—
1146#117—598no—
1147#117—598no—
1148#117—592no—
1149#117—592no—
1150#117—592no—
1151#117—598no—
1152#117—598no—
1153#117—598no—
1154#117C22×D5911yescharacteristic
1155#117C22×D5912yes—
1156#117C22×D5914yes—
1157#117C22×D5918yes—
1158C2×C4⋊C4—594no—
1159C2×C4⋊C4—592no—
1160C2×C4⋊C4—598no—
1161C2×C4⋊C4—594no—
1162C2×C4⋊C4—594no—
1163C2×C4⋊C4—594no—
1164C2×C4⋊C4—594no—
1165C2×C4⋊C4—592no—
1166C2×C4⋊C4—594no—
1167C2×C4⋊C4—598no—
1168C2×C4⋊C4—594no—
1169C2×C4⋊C4—598no—
1170C2×C4⋊C4—594no—
1171C2×C4⋊C4—594no—
1172C2×C4⋊C4—598no—
1173C2×C4⋊C4—594no—
1174C2×C4⋊C4—594no—
1175C2×C4⋊C4—598no—
1176C2×C4⋊C4—598no—
1177C2×C4⋊C4—598no—
1178C2×C4⋊C4—594no—
1179C2×C4⋊C4—598no—
1180C2×C4⋊C4—594no—
1181C2×C4⋊C4C22×D5912yes—
1182C2×C4⋊C4C22×D5914yes—
1183C2×C4⋊C4C22×D5914yes—
1184C2×C22⋊C4—594no—
1185C2×C22⋊C4—592no—
1186C2×C22⋊C4—594no—
1187C2×C22⋊C4—598no—
1188C2×C22⋊C4—598no—
1189C2×C22⋊C4—594no—
1190C2×C22⋊C4—598no—
1191C2×C42—592no—
1192C2×C42—591no—
1193C2×C42—594no—
1194C2×C42—592no—
1195C2×C42—592no—
1196C2×C42—598no—
1197C2×C42—594no—
1198C2×C42—591no—
1199C2×C42—592no—
1200C2×C42—592no—
1201C2×C42—591no—
1202C2×C42—591no—
1203C2×C42—594no—
1204C2×C42—592no—
1205C2×C42—592no—
1206C2×C42—591no—
1207C2×C42C22×D5911yescharacteristic
1208C2×C42C22×D5912yes—
1209C24—591no—
1210C24—594no—
1211C24—592no—
1212#41—24no—
1213#41—28no—
1214#41—1188no—
1215#41—11816no—
1216#41—1188no—
1217#41—11816no—
1218#41—1184no—
1219#41—1188no—
1220#41—1184no—
1221#41—1188no—
1222#41—1184no—
1223#41—1188no—
1224C2×Q8—592no—
1225C2×Q8—591no—
1226C2×Q8—594no—
1227C2×Q8—592no—
1228C2×Q8—1184no—
1229C2×Q8—1188no—
1230C2×Q8C23×D5911yescharacteristic
1231C2×Q8C23×D5912yes—
1232C2×D4—592no—
1233C2×D4—592no—
1234C2×D4—594no—
1235C2×D4—592no—
1236C2×D4—594no—
1237C2×D4—594no—
1238C2×D4—598no—
1239C2×D4—598no—
1240C2×D4—594no—
1241C2×D4—594no—
1242C2×D4—592no—
1243C2×D4—594no—
1244C2×D4—591no—
1245C2×D4—592no—
1246C2×D4—598no—
1247C2×D4—594no—
1248C2×D4—1184no—
1249C2×D4—1188no—
1250C2×D4—1188no—
1251C2×D4—11816no—
1252C2×D4—23616no—
1253C2×D4—2368no—
1254C2×D4C23×D5912yes—
1255C2×D4C23×D5914yes—
1256C2×D4C23×D5911yescharacteristic
1257C2×D4C23×D5912yes—
1258C2×D4C23×D5918yes—
1259C2×D4C23×D5914yes—
1260C22×C4—591no—
1261C22×C4—598no—
1262C22×C4—591no—
1263C22×C4—591no—
1264C22×C4—591no—
1265C22×C4—591no—
1266C22×C4—592no—
1267C22×C4—594no—
1268C22×C4—592no—
1269C22×C4—594no—
1270C22×C4—594no—
1271C22×C4—598no—
1272C22×C4—594no—
1273C22×C4—592no—
1274C22×C4—594no—
1275C22×C4—592no—
1276C22×C4—592no—
1277C22×C4—592no—
1278C22×C4—592no—
1279C22×C4—598no—
1280C22×C4—594no—
1281C22×C4—594no—
1282C22×C4—592no—
1283C22×C4—592no—
1284C22×C4—594no—
1285C22×C4—594no—
1286C22×C4—598no—
1287C22×C4—598no—
1288C22×C4—598no—
1289C22×C4—11816no—
1290C22×C4—1188no—
1291C22×C4—2368no—
1292C22×C4—23616no—
1293C22×C4—2364no—
1294C22×C4—2368no—
1295C22×C4C23×D5912yes—
1296C22×C4C23×D5914yes—
1297C22×C4C23×D5912yes—
1298C22×C4C23×D5914yes—
1299C22×C4C23×D5914yes—
1300C22×C4C23×D5918yes—
1301C22×C4C23×D5911yescharacteristic
1302C4⋊C4—594no—
1303C4⋊C4—592no—
1304C4⋊C4—598no—
1305C4⋊C4—594no—
1306C4⋊C4—598no—
1307C4⋊C4—598no—
1308C4⋊C4—598no—
1309C4⋊C4—598no—
1310C4⋊C4—594no—
1311C4⋊C4—598no—
1312C4⋊C4—598no—
1313C4⋊C4—598no—
1314C4⋊C4—598no—
1315C4⋊C4—598no—
1316C4⋊C4—598no—
1317C4⋊C4—594no—
1318C4⋊C4—594no—
1319C4⋊C4—594no—
1320C4⋊C4—598no—
1321C4⋊C4—598no—
1322C4⋊C4—598no—
1323C4⋊C4—594no—
1324C4⋊C4—594no—
1325C4⋊C4—594no—
1326C4⋊C4C23×D5912yes—
1327C4⋊C4C23×D5914yes—
1328C4⋊C4C23×D5918yes—
1329C4⋊C4C23×D5914yes—
1330C4⋊C4C23×D5918yes—
1331C4⋊C4C23×D5918yes—
1332C4⋊C4C23×D5914yes—
1333C4⋊C4C23×D5918yes—
1334C4⋊C4C23×D5914yes—
1335C22⋊C4—594no—
1336C22⋊C4—592no—
1337C22⋊C4—594no—
1338C22⋊C4—598no—
1339C22⋊C4—598no—
1340C22⋊C4—594no—
1341C22⋊C4—598no—
1342C22⋊C4—594no—
1343C22⋊C4—594no—
1344C22⋊C4—594no—
1345C22⋊C4—594no—
1346C22⋊C4—594no—
1347C22⋊C4—598no—
1348C22⋊C4—598no—
1349C22⋊C4—598no—
1350C22⋊C4—598no—
1351C22⋊C4—594no—
1352C22⋊C4—594no—
1353C22⋊C4—598no—
1354C22⋊C4—598no—
1355C22⋊C4C23×D5914yes—
1356C22⋊C4C23×D5912yes—
1357C22⋊C4C23×D5914yes—
1358C22⋊C4C23×D5918yes—
1359C22⋊C4C23×D5918yes—
1360C22⋊C4C23×D5914yes—
1361C22⋊C4C23×D5918yes—
1362C42—592no—
1363C42—591no—
1364C42—594no—
1365C42—592no—
1366C42—594no—
1367C42—594no—
1368C42—594no—
1369C42—592no—
1370C42—591no—
1371C42—592no—
1372C42—592no—
1373C42—592no—
1374C42—598no—
1375C42—598no—
1376C42—598no—
1377C42C23×D5911yescharacteristic
1378C42C23×D5912yes—
1379C42C23×D5914yes—
1380C42C23×D5911yescharacteristic
1381C42C23×D5912yes—
1382C42C23×D5918yes—
1383C23—591no—
1384C23—594no—
1385C23—591no—
1386C23—594no—
1387C23—592no—
1388C23—1184no—
1389C23—1188no—
1390C23—1184no—
1391C23—1188no—
1392C23—1188no—
1393C23—1188no—
1394C23C24×D5914yes—
1395C23C24×D5912yes—
1396C23C24×D5911yescharacteristic
1397Q8—22no—
1398Q8—24no—
1399Q8—1184no—
1400Q8—1188no—
1401Q8—1182no—
1402Q8—1184no—
1403D4—24no—
1404D4—28no—
1405D4—22no—
1406D4—24no—
1407D4—48no—
1408D4—44no—
1409D4—1184no—
1410D4—1188no—
1411D4—1184no—
1412D4—1188no—
1413D4—1184no—
1414D4—1188no—
1415D4—1184no—
1416D4—1188no—
1417D4—1182no—
1418D4—1184no—
1419D4—2368no—
1420D4—2364no—
1421D4—2368no—
1422D4—2368no—
1423D4—2364no—
1424D4—2364no—
1425C2×C4—28no—
1426C2×C4—24no—
1427C2×C4—44no—
1428C2×C4—48no—
1429C2×C4—42no—
1430C2×C4—44no—
1431C2×C4—594no—
1432C2×C4—591no—
1433C2×C4—591no—
1434C2×C4—594no—
1435C2×C4—594no—
1436C2×C4—594no—
1437C2×C4—594no—
1438C2×C4—592no—
1439C2×C4—594no—
1440C2×C4—592no—
1441C2×C4—594no—
1442C2×C4—592no—
1443C2×C4—598no—
1444C2×C4—1188no—
1445C2×C4—1184no—
1446C2×C4—1188no—
1447C2×C4—1184no—
1448C2×C4—1188no—
1449C2×C4—1184no—
1450C2×C4—11816no—
1451C2×C4—1184no—
1452C2×C4—1188no—
1453C2×C4—1184no—
1454C2×C4—1188no—
1455C2×C4—1184no—
1456C2×C4—2364no—
1457C2×C4—2364no—
1458C2×C4—2368no—
1459C2×C4—2362no—
1460C2×C4—2368no—
1461C2×C4—2368no—
1462C2×C4—2362no—
1463C2×C4—2364no—
1464C2×C4—2368no—
1465C2×C4—2362no—
1466C2×C4—2364no—
1467C2×C4#41×D5914yes—
1468C2×C4C24×D5912yes—
1469C2×C4C24×D5914yes—
1470C2×C4C24×D5912yes—
1471C2×C4C24×D5914yes—
1472C2×C4C24×D5912yes—
1473C2×C4C24×D5918yes—
1474C2×C4C24×D5911yescharacteristic
1475C2×C4C24×D5911yescharacteristic
1476C22—22no—
1477C22—24no—
1478C22—22no—
1479C22—24no—
1480C22—24no—
1481C22—24no—
1482C22—592no—
1483C22—594no—
1484C22—592no—
1485C22—1188no—
1486C22—1182no—
1487C22—1184no—
1488C22—1182no—
1489C22—1184no—
1490C22—1184no—
1491C22—1184no—
1492C22—23616no—
1493C22—2368no—
1494C22C2×#41×D5912yes—
1495C22C25×D5911yescharacteristic
1496C4—24no—
1497C4—22no—
1498C4—22no—
1499C4—24no—
1500C4—28no—
1501C4—22no—
1502C4—592no—
1503C4—592no—
1504C4—1182no—
1505C4—1184no—
1506C4—1182no—
1507C4—1184no—
1508C4—1188no—
1509C4—1182no—
1510C4C2×#41×D5912yes—
1511C4C2×#41×D5912yes—
1512C2—22no—
1513C2—44no—
1514C2—42no—
1515C2—594no—
1516C2—1182no—
1517C2—2364no—
1518C2—2362no—
1519C2C22×#41×D5911yescharacteristic
1520C2#585×D5912yes—
subgroupG/H
center, FrattiniC22C25×D59
commutator, socle, cosocleC22×C59C26
FittingC59×#3512C2
hypercenter#3512D59
hypocenterC59C2×#3512
LCSG ▷ C22×C59 ▷ C59
UCSC1 ◁ C22 ◁ #3512

Complements

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

NH ≅ G/Ntype
1. #21438020C2semidirect
2. #21438019C2semidirect
3. #21438018C2semidirect
4. #21438017C2semidirect
5. #21438016C2semidirect
6. #21438015C2semidirect
7. #21438014C2semidirect
8. #21438013C2semidirect
9. #21438012C2semidirect
10. #21438011C2semidirect
11. #21438010C2semidirect
12. #553×D59C2semidirect
13. #553×D59C2semidirect
14. #552×D59C2semidirect
15. #541×D59C2semidirect
16. #540×D59C2semidirect
17. #537×D59C2semidirect
18. #532×D59C2semidirect
19. #529×D59C2semidirect
20. C2×#125×D59C2semidirect
21. #520×D59C2semidirect
22. C4×#41×D59C2semidirect
23. C59×#3512C2semidirect
26. #16838105C22semidirect
27. #16838105C22semidirect
28. #16838104C22semidirect
29. #16838104C22semidirect
30. #16838103C22semidirect
31. #16838103C22semidirect
32. #16838103C22semidirect
33. #16838102C22semidirect
34. #16838102C22semidirect
35. #16838101C22semidirect
36. #16838101C22semidirect
37. #16838101C22semidirect
38. #16838100C22semidirect
39. #16838100C22semidirect
40. #16838099C22semidirect
41. #16838099C22semidirect
42. #16838098C22semidirect
43. #16838098C22semidirect
44. #16838097C22semidirect
45. #16838097C22semidirect
46. #16838097C22semidirect
47. #16838096C22semidirect
48. #16838096C22semidirect
49. #16838095C22semidirect
50. #16838095C22semidirect
51. #16838095C22semidirect
52. #16838094C22semidirect
53. #16838093C22semidirect
54. #16838092C22semidirect
55. #16838091C22semidirect
56. #16838090C22semidirect
57. #16838089C22semidirect
58. #16838088C22semidirect
59. #16838087C22semidirect
60. #16838086C22semidirect
61. #16838085C22semidirect
62. #16838084C22semidirect
63. #16838015C22semidirect
64. #16838014C22semidirect
65. #16838013C22semidirect
66. #16838012C22semidirect
67. #16838011C22semidirect
68. #16838010C22semidirect
69. #16838009C22semidirect
70. #16838008C22semidirect
71. #16838007C22semidirect
72. #16838006C22semidirect
73. #16838005C22semidirect
74. #16838004C22semidirect
75. #16838003C22semidirect
76. #16838002C22semidirect
77. #16837983C22semidirect
78. #16837982C22semidirect
79. #16837982C22semidirect
80. #16837981C22semidirect
81. #16837981C22semidirect
82. #16837980C22semidirect
83. #16837980C22semidirect
84. #16837979C22semidirect
85. #16837953C22semidirect
86. #16837952C22semidirect
87. #16837951C22semidirect
88. #16837950C22semidirect
89. #16837949C22semidirect
90. #16837948C22semidirect
91. #16837947C22semidirect
94. #16837939C22semidirect
95. #16837938C22semidirect
96. #16837937C22semidirect
97. #16837936C22semidirect
98. #16837935C22semidirect
99. #16837934C22semidirect
100. #16837933C22semidirect
101. #16837932C22semidirect
102. #16837931C22semidirect
103. #16837930C22semidirect
104. #16837929C22semidirect
107. C2×#14273719C22semidirect
108. C2×#14273718C22semidirect
109. C2×#14273717C22semidirect
114. #125×D59C22semidirect
115. #125×D59C22semidirect
116. #125×D59C22semidirect
127. #16837885C22semidirect
128. #16837884C22semidirect
129. #16837883C22semidirect
130. #16837883C22semidirect
131. #16837882C22semidirect
132. #16837882C22semidirect
133. #16837881C22semidirect
134. #16837881C22semidirect
135. #41×Dic59C22semidirect
136. C4×#11745689C22semidirect
137. C4×#11745685C22semidirect
138. C4×#11745685C22semidirect
139. #16837870C22semidirect
140. #16837870C22semidirect
141. C4×#11745687C22semidirect
142. C4×#11745687C22semidirect
160. C59×#553C22semidirect
161. C59×#553C22semidirect
162. C59×#552C22semidirect
163. C59×#541C22semidirect
164. C59×#540C22semidirect
165. C59×#537C22semidirect
166. C59×#532C22semidirect
167. C59×#529C22semidirect
168. C2×#125×C59C22semidirect
169. C59×#520C22semidirect
170. C4×#41×C59C22semidirect
763. #3512D59direct (N × H)
783. D59#3512direct (N × H)
812. #553C2×D59semidirect
813. #553C2×D59semidirect
825. #552C2×D59semidirect
833. #541C2×D59semidirect
841. #540C2×D59semidirect
850. #537C2×D59semidirect
858. #532C2×D59semidirect
872. #529C2×D59semidirect
885. C2×#125C2×D59semidirect
904. #520C2×D59semidirect
913. C4×#41C2×D59semidirect
931. C59C2×#3512semidirect

Maximal subgroups

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

subgroupindex
#214380202
#214380192
#214380182
#214380172
#214380162
#214380152
#214380142
#214380132
#214380122
#214380112
#214380102
#553×D592
#552×D592
#541×D592
#540×D592
#537×D592
#532×D592
#529×D592
C2×#125×D592
#520×D592
C4×#41×D592
C59×#35122
C2×#351259