Finite Group Databasebeta

← #29481242

Subgroups — #29481242

Order 15104.

1930 conjugacy classes of subgroups.

The subgroup lattice has 1806 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438051C211yesmaximal, characteristic, complemented
2#21437704C211yesmaximal, characteristic, complemented
3#21437181C211yesmaximal, characteristic, complemented
4#21437157C211yesmaximal, characteristic, complemented
5#21436922C211yesmaximal, characteristic, complemented
6#21436848C211yesmaximal, characteristic, complemented
7#21436353C211yesmaximal, characteristic, complemented
8#21436301C211yesmaximal, characteristic, complemented
9#21436260C211yesmaximal, characteristic, complemented
10#21436230C211yesmaximal, characteristic, complemented
11#21436206C211yesmaximal, characteristic, complemented
12#21436176C211yesmaximal, characteristic, complemented
13#21435730C211yesmaximal, characteristic, complemented
14#21435707C211yesmaximal, characteristic, complemented
15#21435609C211yesmaximal, characteristic, complemented
16#21435590C211yesmaximal, characteristic, complemented
17#21435575C211yesmaximal, characteristic, complemented
18#21435574C211yesmaximal, characteristic, complemented
19#21435494C211yesmaximal, characteristic, complemented
20#21435452C211yesmaximal, characteristic, complemented
21#21435445C211yesmaximal, characteristic, complemented
22#21435132C211yesmaximal, characteristic, complemented
23#21435059C211yesmaximal, characteristic, complemented
24#21434233C211yesmaximal, characteristic, complemented
25#21434207C211yesmaximal, characteristic, complemented
26#21434142C211yesmaximal, characteristic, complemented
27#21433586C211yesmaximal, characteristic, complemented
28#21433558C211yesmaximal, characteristic, complemented
29#463×D59C211yesmaximal, characteristic, complemented
30#21433215C211yesmaximal, characteristic, complemented
31C59×#3213C211yesmaximal, characteristic, complemented
32C2×#14273758C2211yescharacteristic, complemented
33C2×#14273754C2211yescharacteristic, complemented
34C2×#14273753C2211yescharacteristic
35C2×#14273751C2211yescharacteristic, complemented
36C2×SD16×D59C2211yescharacteristic, complemented
37C2×D8×D59C2211yescharacteristic
38#16838138C2211yescharacteristic, complemented
39#16838134C2211yescharacteristic, complemented
40#16838121C2211yescharacteristic, complemented
41#16838114—21no—
42#16838113C2211yescharacteristic, complemented
43#16838113C2211yescharacteristic, complemented
44#16838099—21no—
45#16838099C2211yescharacteristic
46#16838099C2211yescharacteristic, complemented
47#16838082—21no—
48#16838082—21no—
49#16838082—21no—
50#16838078—21no—
51Q8×C22⋊D59C2211yescharacteristic, complemented
52#16838063C2211yescharacteristic, complemented
53#16838060C2211yescharacteristic
54#16838049—21no—
55#16838049C2211yescharacteristic
56#16838049C2211yescharacteristic, complemented
57#16838046C2211yescharacteristic, complemented
58#16838045C2211yescharacteristic
59#16838042—21no—
60#16838037C2211yescharacteristic, complemented
61D4×C22⋊D59C2211yescharacteristic, complemented
62#16838016—21no—
63#16837990—21no—
64#16837986—21no—
65#16837951C2211yescharacteristic, complemented
66#16837936C2211yescharacteristic, complemented
67#16837934—21no—
68#16837934C2211yescharacteristic, complemented
69#16837934C2211yescharacteristic, complemented
70#16837931C2211yescharacteristic, complemented
71#16837931C2211yescharacteristic, complemented
72#124×D59C2211yescharacteristic, complemented
73#16837909—21no—
74#16837909—21no—
75#16837875—21no—
76C4×#11745685C2211yescharacteristic
77C4×#11745685C2211yescharacteristic, complemented
78C4×D4×D59—21no—
79C4×D4×D59C2211yescharacteristic, complemented
80C4×D4×D59C2211yescharacteristic, complemented
81#16837793C2211yescharacteristic, complemented
82#16837790C2211yescharacteristic, complemented
83#16837785C2211yescharacteristic, complemented
84#16837783C2211yescharacteristic, complemented
85#16837769C2211yescharacteristic, complemented
86#16837765C2211yescharacteristic, complemented
87#16837758C2211yescharacteristic, complemented
88#16837755C2211yescharacteristic, complemented
89#16837744C2211yescharacteristic, complemented
90#16837736C2211yescharacteristic, complemented
91#16837731C2211yescharacteristic, complemented
92#16837727C2211yescharacteristic, complemented
93#16837719C2211yescharacteristic, complemented
94#16837714C2211yescharacteristic, complemented
95#16837711C2211yescharacteristic, complemented
96#16837710C2211yescharacteristic, complemented
97#16837707C2211yescharacteristic, complemented
98#16837704C2211yescharacteristic, complemented
99#16837703C2211yescharacteristic, complemented
100#16837702C2211yescharacteristic, complemented
101#16837702C2211yescharacteristic, complemented
102#16837700C2211yescharacteristic, complemented
103#16837684C2211yescharacteristic, complemented
104#16837679C2211yescharacteristic, complemented
105#16837659C2211yescharacteristic, complemented
106#16837653C2211yescharacteristic, complemented
107#16837653C2211yescharacteristic, complemented
108#16837652C2211yescharacteristic
109#16837647C2211yescharacteristic, complemented
110#16837646C2211yescharacteristic, complemented
111#16837646C2211yescharacteristic, complemented
112#16837645C2211yescharacteristic, complemented
113#16837642C2211yescharacteristic, complemented
114#16837635C2211yescharacteristic
115#16837630C2211yescharacteristic, complemented
116#16837628C2211yescharacteristic, complemented
117#16837625C2211yescharacteristic, complemented
118#16837622C2211yescharacteristic, complemented
119#16837622C2211yescharacteristic, complemented
120#16837621C2211yescharacteristic, complemented
121#16837621C2211yescharacteristic, complemented
122#16837621C2211yescharacteristic, complemented
123#16837621C2211yescharacteristic, complemented
124#16837620C2211yescharacteristic, complemented
125#16837619C2211yescharacteristic, complemented
126#16837618C2211yescharacteristic, complemented
127#16837617C2211yescharacteristic, complemented
128#16837617C2211yescharacteristic, complemented
129#16837616C2211yescharacteristic
130#16837615C2211yescharacteristic, complemented
131#16837615C2211yescharacteristic, complemented
132#16837615C2211yescharacteristic, complemented
133#16837614C2211yescharacteristic
134#16837614C2211yescharacteristic
135#16837614C2211yescharacteristic, complemented
136#16837614C2211yescharacteristic, complemented
137#16837606C2211yescharacteristic, complemented
138#16837605C2211yescharacteristic, complemented
139#16837599C2211yescharacteristic, complemented
140#16837596C2211yescharacteristic
141#16837595C2211yescharacteristic, complemented
142#16837594C2211yescharacteristic, complemented
143#16837567C2211yescharacteristic, complemented
144#16837566C2211yescharacteristic, complemented
145#16837565C2211yescharacteristic, complemented
146#16837559C2211yescharacteristic, complemented
147#16837554C2211yescharacteristic, complemented
148#16837551C2211yescharacteristic, complemented
149#16837551C2211yescharacteristic, complemented
150#16837549C2211yescharacteristic
151#16837546C2211yescharacteristic, complemented
152#16837544C2211yescharacteristic, complemented
153#16837539C2211yescharacteristic, complemented
154#16837534C2211yescharacteristic
155#16837534C2211yescharacteristic
156#16837534C2211yescharacteristic
157#16837530C2211yescharacteristic, complemented
158#16837530C2211yescharacteristic, complemented
159#16837515C2211yescharacteristic, complemented
160#16837514C2211yescharacteristic, complemented
161#16837511C2211yescharacteristic
162#16837510C2211yescharacteristic, complemented
163#16837505C2211yescharacteristic, complemented
164#16837504C2211yescharacteristic, complemented
165#16837504C2211yescharacteristic, complemented
166#16837503C2211yescharacteristic, complemented
167SD16×Dic59C2211yescharacteristic, complemented
168#16837487C2211yescharacteristic, complemented
169D8×Dic59C2211yescharacteristic, complemented
170#16837482C2211yescharacteristic, complemented
171#16837477C2211yescharacteristic, complemented
172#16837477C2211yescharacteristic, complemented
173#16837476C2211yescharacteristic, complemented
174#16837476C2211yescharacteristic, complemented
175#16837475C2211yescharacteristic, complemented
176#16837475C2211yescharacteristic, complemented
177#16837458C2211yescharacteristic, complemented
178#16837454C2211yescharacteristic, complemented
179#16837426C2211yescharacteristic, complemented
180#16837424C2211yescharacteristic, complemented
181C4⋊C8×D59C2211yescharacteristic, complemented
182#16837411C2211yescharacteristic, complemented
183#16837407C2211yescharacteristic, complemented
184#16837402C2211yescharacteristic, complemented
185#16837400C2211yescharacteristic, complemented
186#103×D59C2211yescharacteristic, complemented
187#102×D59C2211yescharacteristic, complemented
188C59×#532C2211yescharacteristic, complemented
189C2×#124×C59C2211yescharacteristic, complemented
190C59×#496C2211yescharacteristic
191C59×#496C2211yescharacteristic, complemented
192C59×#489C2211yescharacteristic, complemented
193C59×#489C2211yescharacteristic, complemented
194C59×#463C2211yescharacteristic, complemented
195C59×#463C2211yescharacteristic, complemented
196C59×#463C2211yescharacteristic, complemented
197C59×#463C2211yescharacteristic, complemented
198C59×#448C2211yescharacteristic, complemented
199C59×#448C2211yescharacteristic, complemented
200C59×#447C2211yescharacteristic, complemented
201C59×#447C2211yescharacteristic, complemented
202C59×#432C2211yescharacteristic, complemented
203C2×#11745689C2311yescharacteristic
204C2×#11745685D411yescharacteristic
205C2×#11745685C2311yescharacteristic
206C2×#11745687C2311yescharacteristic
207C2×Q8×D59C2311yescharacteristic
208C22×C22⋊D59—21no—
209C2×D4×D59—21no—
210C2×D4×D59C2311yescharacteristic
211C2×D4×D59C2311yescharacteristic
212C2×D4×D59C2311yescharacteristic
213C22×C4×D59—21no—
214C22×C4×D59—21no—
215#14273758—42no—
216#14273754—42no—
217#14273753—42no—
218#14273751—42no—
219C2×Dic236C2311yescharacteristic
220C2×#11745672C2311yescharacteristic
221C2×#11745672C2311yescharacteristic
222C2×#11745660C2311yescharacteristic
223C2×#11745660C2311yescharacteristic
224C2×#11745670C2311yescharacteristic
225C2×#11745670C2311yescharacteristic
226C2×#11745670C2311yescharacteristic
227C2×#11745670C2311yescharacteristic
228C2×#11745671C2311yescharacteristic
229C2×#11745671C2311yescharacteristic
230SD16×D59—42no—
231C2×D472C2311yescharacteristic
232C2×#11745669C2311yescharacteristic
233C2×#11745669C2311yescharacteristic
234C2×#11745669C2311yescharacteristic
235C2×#11745669C2311yescharacteristic
236D8×D59—42no—
237C2×#11745664C2311yescharacteristic
238C2×#11745664C2311yescharacteristic
239C2×#11745659C2311yescharacteristic
240C2×#11745659C2311yescharacteristic
241C2×C8×D59C2311yescharacteristic
242C2×C8×D59C2311yescharacteristic
243#14273725—21no—
244#14273725C2311yescharacteristic
245#14273723C2311yescharacteristic
246#14273721—21no—
247#14273720—21no—
248#14273720—21no—
249#14273720—21no—
250#14273720—21no—
251#14273720—21no—
252#14273720—21no—
253#14273720—21no—
254#14273720—21no—
255#14273719C2311yescharacteristic
256#14273718—21no—
257#14273718C2311yescharacteristic
258#14273718C2311yescharacteristic
259#14273716—21no—
260#14273716C2311yescharacteristic
261#14273715C2311yescharacteristic
262#14273714—21no—
263#14273714C2311yescharacteristic
264#14273714C2311yescharacteristic
265#14273714C2311yescharacteristic
266#14273713—21no—
267#14273713—21no—
268#14273713—21no—
269#14273713—21no—
270#14273711—21no—
271#14273710—21no—
272#14273709—21no—
273#14273709—21no—
274#14273709—21no—
275#14273709—21no—
276#14273709—21no—
277#14273709—21no—
278#14273709—21no—
279#14273709—21no—
280#14273708—21no—
281#14273708—21no—
282#14273708—21no—
283#14273708—21no—
284#14273708—21no—
285#14273707—21no—
286#14273707C2311yescharacteristic
287#14273707C2311yescharacteristic
288#14273706—21no—
289#14273706C2311yescharacteristic
290#14273704—21no—
291#14273704—21no—
292#14273703—21no—
293#14273703—21no—
294#14273703—21no—
295#14273703—21no—
296#14273703—21no—
297#14273703—21no—
298#14273703C2311yescharacteristic
299#14273703C2311yescharacteristic
300#14273701—21no—
301#14273701C2311yescharacteristic
302#14273700—21no—
303#14273700—21no—
304#14273700—21no—
305#14273700—21no—
306#14273699—21no—
307#14273699—21no—
308#14273698—21no—
309#14273698—21no—
310#14273698—21no—
311#14273698—21no—
312#14273698—21no—
313#14273698C2311yescharacteristic
314#14273698C2311yescharacteristic
315#14273698C2311yescharacteristic
316#14273698C2311yescharacteristic
317#14273697—21no—
318#14273696—21no—
319#14273696—21no—
320#14273695—21no—
321#14273695—21no—
322#14273695—21no—
323#14273695—21no—
324#14273695—21no—
325Q8×Dic59C2311yescharacteristic
326Q8×Dic59C2311yescharacteristic
327C4×Dic118D411yescharacteristic
328C4×Dic118C2311yescharacteristic
329C4×Dic118C2311yescharacteristic
330C4×Dic118C2311yescharacteristic
331C4×Dic118C2311yescharacteristic
332C4×D236D411yescharacteristic
333C4×D236C2311yescharacteristic
334C4×D236C2311yescharacteristic
335C4×D236C2311yescharacteristic
336C4×D236C2311yescharacteristic
337D4×Dic59—21no—
338D4×Dic59C2311yescharacteristic
339D4×Dic59C2311yescharacteristic
340D4×Dic59C2311yescharacteristic
341D4×Dic59C2311yescharacteristic
342#14273689—21no—
343#14273689C2311yescharacteristic
344#14273689C2311yescharacteristic
345C4×C22⋊D59—21no—
346C4×C22⋊D59—21no—
347C4×C22⋊D59—21no—
348C4×C22⋊D59—21no—
349C4×C22⋊D59—21no—
350C4×C22⋊D59—21no—
351C4×C22⋊D59—21no—
352C4×C22⋊D59—21no—
353C4×C22⋊D59—21no—
354C4×C22⋊D59D411yescharacteristic
355C4×C22⋊D59D411yescharacteristic
356C4×C22⋊D59C2311yescharacteristic
357C4×C22⋊D59C2311yescharacteristic
358(C22⋊D59)⋊C4—21no—
359(C22⋊D59)⋊C4—21no—
360(C22⋊D59)⋊C4—21no—
361(C22⋊D59)⋊C4—21no—
362(C22⋊D59)⋊C4—21no—
363(C22⋊D59)⋊C4—21no—
364(C22⋊D59)⋊C4—21no—
365(C22⋊D59)⋊C4—21no—
366(C22⋊D59)⋊C4—21no—
367(C22⋊D59)⋊C4—21no—
368#14273686—21no—
369#14273686—21no—
370#14273686D411yescharacteristic
371#14273686C2311yescharacteristic
372#14273684—21no—
373#14273684—21no—
374#14273684D411yescharacteristic
375#14273684D411yescharacteristic
376#14273683—21no—
377#14273683—21no—
378#14273683—21no—
379C4⋊C4×D59—21no—
380C4⋊C4×D59C2311yescharacteristic
381C4⋊C4×D59C2311yescharacteristic
382C2×C22⋊Dic59—21no—
383C22⋊C4×D59—21no—
384C22⋊C4×D59—21no—
385C22⋊C4×D59—21no—
386C22⋊C4×D59—21no—
387C22⋊C4×D59—21no—
388C22⋊C4×D59—21no—
389C22⋊C4×D59—21no—
390C42×D59—21no—
391C42×D59C2311yescharacteristic
392C42×D59C2311yescharacteristic
393#14273661C2311yescharacteristic
394#14273661C2311yescharacteristic
395#14273660C2311yescharacteristic
396#14273660C2311yescharacteristic
397#14273659C2311yescharacteristic
398#14273659C2311yescharacteristic
399#14273658C2311yescharacteristic
400#14273658C2311yescharacteristic
401C4⋊(C59⋊C8)C2311yescharacteristic
402C4⋊(C59⋊C8)C2311yescharacteristic
403C4⋊(C59⋊C8)C2311yescharacteristic
404C4⋊(C59⋊C8)C2311yescharacteristic
405Dic59⋊C8C2311yescharacteristic
406Dic59⋊C8C2311yescharacteristic
407Dic59⋊C8C2311yescharacteristic
408Dic59⋊C8C2311yescharacteristic
409#14273652C2311yescharacteristic
410#14273652C2311yescharacteristic
411#14273652C2311yescharacteristic
412#14273652C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273651C2311yescharacteristic
415#14273651C2311yescharacteristic
416#14273651C2311yescharacteristic
417#14273650C2311yescharacteristic
418#14273650C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273649C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273648C2311yescharacteristic
428#14273648C2311yescharacteristic
429#14273648C2311yescharacteristic
430#14273648C2311yescharacteristic
431#14273647C2311yescharacteristic
432#14273647C2311yescharacteristic
433(C2×D59)⋊C8C2311yescharacteristic
434(C2×D59)⋊C8C2311yescharacteristic
435(C2×D59)⋊C8C2311yescharacteristic
436(C2×D59)⋊C8C2311yescharacteristic
437#14273637C2311yescharacteristic
438#14273637C2311yescharacteristic
439C8×Dic59C2311yescharacteristic
440C8×Dic59C2311yescharacteristic
441C2×#41×C59—21no—
442C22×Q8×C59C2311yescharacteristic
443C22×D4×C59C2311yescharacteristic
444C2×SD16×C59C2311yescharacteristic
445C2×SD16×C59C2311yescharacteristic
446C2×SD16×C59C2311yescharacteristic
447C2×SD16×C59C2311yescharacteristic
448C2×D8×C59C2311yescharacteristic
449C2×D8×C59C2311yescharacteristic
450C2×D8×C59C2311yescharacteristic
451C2×D8×C59C2311yescharacteristic
452C4⋊Q8×C59C2311yescharacteristic
453#127×C59C2311yescharacteristic
454#124×C59—21no—
455#124×C59—21no—
456#124×C59—21no—
457#124×C59C2311yescharacteristic
458#124×C59C2311yescharacteristic
459#124×C59C2311yescharacteristic
460#124×C59C2311yescharacteristic
461#121×C59—21no—
462#121×C59C2311yescharacteristic
463#121×C59C2311yescharacteristic
464C4×D4×C59—21no—
465C4×D4×C59C2311yescharacteristic
466C4×D4×C59C2311yescharacteristic
467C2×C22⋊C4×C59—21no—
468C2×C22⋊C4×C59—21no—
469C2×C42×C59C2311yescharacteristic
470C4⋊C8×C59C2311yescharacteristic
471C4⋊C8×C59C2311yescharacteristic
472#103×C59C2311yescharacteristic
473#103×C59C2311yescharacteristic
474#103×C59C2311yescharacteristic
475#103×C59C2311yescharacteristic
476#102×C59C2311yescharacteristic
477#102×C59C2311yescharacteristic
478#102×C59C2311yescharacteristic
479#102×C59C2311yescharacteristic
480C22⋊C8×C59C2311yescharacteristic
481C22⋊C8×C59C2311yescharacteristic
482#97×C59C2311yescharacteristic
483#97×C59C2311yescharacteristic
484C24×C59—21no—
485C23×D59—21no—
486C23×D59—21no—
487C23×D59—21no—
488#41×C59—82no—
489C2×Q8×C59—21no—
490C2×Q8×C59—21no—
491C2×Q8×C59—41no—
492C2×Q8×C59—41no—
493C2×Q8×C59C2411yescharacteristic
494C2×Q8×C59C2411yescharacteristic
495C2×D4×C59—21no—
496C2×D4×C59—21no—
497C2×D4×C59—21no—
498C2×D4×C59—21no—
499C2×D4×C59—21no—
500C2×D4×C59—41no—
501C2×D4×C59—41no—
502C2×D4×C59C2411yescharacteristic
503C2×D4×C59C2411yescharacteristic
504C2×D4×C59C2411yescharacteristic
505C2×D4×C59C2411yescharacteristic
506C22×C4×C59—21no—
507C22×C4×C59—21no—
508C22×C4×C59—21no—
509C22×C4×C59C2×D411yescharacteristic
510C22×C4×C59C2×D411yescharacteristic
511C22×C4×C59C2411yescharacteristic
512C2×C22⋊D59—21no—
513C2×C22⋊D59—21no—
514C2×C22⋊D59—21no—
515C2×C22⋊D59—21no—
516C2×C22⋊D59—21no—
517C2×C22⋊D59—21no—
518C2×C22⋊D59—21no—
519C2×C22⋊D59—21no—
520C2×C22⋊D59—21no—
521C2×C22⋊D59—21no—
522C2×C22⋊D59—21no—
523C2×C22⋊D59—21no—
524C2×C22⋊D59—44no—
525C2×C22⋊D59C2×D411yescharacteristic
526C2×C22⋊D59C2×D411yescharacteristic
527C22×Dic59—21no—
528C22×Dic59—21no—
529C22×Dic59—21no—
530C22×Dic59—21no—
531C22×Dic59—21no—
532#11745689—41no—
533#11745689—41no—
534Q8×D59—41no—
535Q8×D59—41no—
536#11745687—41no—
537#11745687—41no—
538D4×D59—22no—
539D4×D59—22no—
540D4×D59—41no—
541D4×D59—41no—
542D4×D59—41no—
543D4×D59—41no—
544D4×D59—44no—
545#11745685—22no—
546#11745685—41no—
547#11745685—42no—
548C2×D236—21no—
549C2×D236C2×D411yescharacteristic
550C2×D236C2411yescharacteristic
551C2×D236C2411yescharacteristic
552C2×C4×D59—21no—
553C2×C4×D59—21no—
554C2×C4×D59—21no—
555C2×C4×D59—21no—
556C2×C4×D59—21no—
557C2×C4×D59—21no—
558C2×C4×D59—21no—
559C2×C4×D59—21no—
560C2×C4×D59—21no—
561C2×C4×D59—21no—
562C2×C4×D59—82no—
563C2×C4×D59—82no—
564C2×C4×D59C2×D411yescharacteristic
565C2×C4×D59C2×D411yescharacteristic
566C2×C4×D59C2×D411yescharacteristic
567C2×C4×D59C2×D411yescharacteristic
568C2×C4×D59C2411yescharacteristic
569C2×C4×D59C2411yescharacteristic
570C2×Dic118—21no—
571C2×Dic118C2×D411yescharacteristic
572C2×Dic118C2411yescharacteristic
573C2×Dic118C2411yescharacteristic
574SD16×C59—41no—
575SD16×C59—41no—
576SD16×C59—41no—
577SD16×C59—41no—
578D8×C59—41no—
579D8×C59—41no—
580D8×C59—41no—
581D8×C59—41no—
582C2×C8×C59C2411yescharacteristic
583C2×C8×C59C2411yescharacteristic
584C2×C8×C59C2411yescharacteristic
585C2×C8×C59C2411yescharacteristic
586C4⋊C4×C59—21no—
587C4⋊C4×C59C2411yescharacteristic
588C4⋊C4×C59C2411yescharacteristic
589C22⋊C4×C59—21no—
590C22⋊C4×C59—21no—
591C22⋊C4×C59—21no—
592C22⋊C4×C59—21no—
593C22⋊C4×C59—21no—
594C22⋊C4×C59—21no—
595C22⋊C4×C59—21no—
596C22⋊C4×C59—21no—
597C22⋊C4×C59—21no—
598C22⋊C4×C59—21no—
599C22⋊C4×C59—21no—
600C22⋊C4×C59—21no—
601C42×C59C2×D411yescharacteristic
602C42×C59C2×D411yescharacteristic
603C42×C59C2411yescharacteristic
604C42×C59C2411yescharacteristic
605C22⋊Dic59—21no—
606C22⋊Dic59—21no—
607C22⋊Dic59—21no—
608C22⋊Dic59—21no—
609C22⋊Dic59—21no—
610C22⋊Dic59—21no—
611C22⋊Dic59—21no—
612C22⋊Dic59—21no—
613C22⋊Dic59—21no—
614C22⋊Dic59—21no—
615C22⋊Dic59—21no—
616C22⋊Dic59—21no—
617C22⋊Dic59—21no—
618C22⋊Dic59—21no—
619C22⋊Dic59—21no—
620C22⋊Dic59—21no—
621C22⋊Dic59C2×D411yescharacteristic
622C22⋊Dic59C2×D411yescharacteristic
623#11745672—41no—
624#11745672—41no—
625#11745671—22no—
626#11745671—22no—
627#11745670—41no—
628#11745670—41no—
629#11745670—41no—
630#11745670—41no—
631#11745669—22no—
632#11745669—22no—
633#11745669—41no—
634#11745669—41no—
635(C2×D59)⋊C4—21no—
636(C2×D59)⋊C4—21no—
637(C2×D59)⋊C4—21no—
638(C2×D59)⋊C4—21no—
639(C2×D59)⋊C4—21no—
640(C2×D59)⋊C4—21no—
641(C2×D59)⋊C4—21no—
642(C2×D59)⋊C4—21no—
643(C2×D59)⋊C4—21no—
644(C2×D59)⋊C4—21no—
645(C2×D59)⋊C4—21no—
646(C2×D59)⋊C4—21no—
647(C2×D59)⋊C4—21no—
648(C2×D59)⋊C4—21no—
649(C2×D59)⋊C4C2×D411yescharacteristic
650(C2×D59)⋊C4C2×D411yescharacteristic
651(C2×D59)⋊C4C2×D411yescharacteristic
652(C2×D59)⋊C4C2×D411yescharacteristic
653C4⋊Dic59—21no—
654C4⋊Dic59—21no—
655C4⋊Dic59—21no—
656C4⋊Dic59—21no—
657C4⋊Dic59—21no—
658C4⋊Dic59—21no—
659C4⋊Dic59C2×D411yescharacteristic
660C4⋊Dic59C2×D411yescharacteristic
661C4⋊Dic59C2411yescharacteristic
662C4⋊Dic59C2411yescharacteristic
663C4⋊Dic59C2411yescharacteristic
664C4⋊Dic59C2411yescharacteristic
665Dic59⋊C4—21no—
666Dic59⋊C4—21no—
667Dic59⋊C4—21no—
668Dic59⋊C4—21no—
669Dic59⋊C4—21no—
670Dic59⋊C4—21no—
671Dic59⋊C4—21no—
672Dic59⋊C4—21no—
673Dic59⋊C4—21no—
674Dic59⋊C4—21no—
675Dic59⋊C4—21no—
676Dic59⋊C4—21no—
677Dic59⋊C4—21no—
678Dic59⋊C4—21no—
679Dic59⋊C4C2×D411yescharacteristic
680Dic59⋊C4C2×D411yescharacteristic
681Dic59⋊C4C2×D411yescharacteristic
682Dic59⋊C4C2×D411yescharacteristic
683C4×Dic59—21no—
684C4×Dic59—21no—
685C4×Dic59—21no—
686C4×Dic59—21no—
687C4×Dic59—21no—
688C4×Dic59—21no—
689C4×Dic59C2×D411yescharacteristic
690C4×Dic59C2×D411yescharacteristic
691C4×Dic59C2×D411yescharacteristic
692C4×Dic59C2×D411yescharacteristic
693C4×Dic59C2411yescharacteristic
694C4×Dic59C2411yescharacteristic
695#11745664—41no—
696#11745664—41no—
697C2×C59⋊C8C2411yescharacteristic
698C2×C59⋊C8C2411yescharacteristic
699C2×C59⋊C8C2411yescharacteristic
700C2×C59⋊C8C2411yescharacteristic
701Dic236—41no—
702D472—22no—
703#11745660—22no—
704#11745660—41no—
705#11745659—41no—
706#11745659—41no—
707C8×D59—41no—
708C8×D59—41no—
709C23×C59—21no—
710C23×C59—21no—
711C23×C59—21no—
712C23×C59—21no—
713C23×C59—42no—
714C23×C59—81no—
715C23×C59—81no—
716C23×C59C22×D411yescharacteristic
717C22×D59—21no—
718C22×D59—21no—
719C22×D59—42no—
720C22×D59—42no—
721C22×D59—42no—
722C22×D59—42no—
723C22×D59—42no—
724C22×D59—81no—
725C22×D59—81no—
726C22×D59—81no—
727C22×D59—81no—
728C22×D59C22×D411yescharacteristic
729C22×D59C22×D411yescharacteristic
730Q8×C59—21no—
731Q8×C59—21no—
732Q8×C59—21no—
733Q8×C59—21no—
734Q8×C59—81no—
735Q8×C59—81no—
736D4×C59—21no—
737D4×C59—21no—
738D4×C59—21no—
739D4×C59—21no—
740D4×C59—21no—
741D4×C59—21no—
742D4×C59—21no—
743D4×C59—21no—
744D4×C59—42no—
745D4×C59—81no—
746D4×C59—81no—
747D4×C59—81no—
748D4×C59—81no—
749C2×C4×C59—21no—
750C2×C4×C59—21no—
751C2×C4×C59—21no—
752C2×C4×C59—21no—
753C2×C4×C59—21no—
754C2×C4×C59—21no—
755C2×C4×C59—41no—
756C2×C4×C59—41no—
757C2×C4×C59—42no—
758C2×C4×C59—42no—
759C2×C4×C59—81no—
760C2×C4×C59C22×D411yescharacteristic
761C2×C4×C59C22×D411yescharacteristic
762C2×C4×C59C22×D411yescharacteristic
763C2×C4×C59C22×D411yescharacteristic
764C2×C4×C59C22×D411yescharacteristic
765C2×C4×C59C2511yescharacteristic
766C22⋊D59—22no—
767C22⋊D59—41no—
768C22⋊D59—42no—
769C22⋊D59—42no—
770C22⋊D59—42no—
771C22⋊D59—42no—
772C22⋊D59—42no—
773C22⋊D59—42no—
774C22⋊D59—42no—
775C22⋊D59—42no—
776C22⋊D59—81no—
777C22⋊D59—81no—
778C22⋊D59—81no—
779C22⋊D59—81no—
780C2×Dic59—21no—
781C2×Dic59—21no—
782C2×Dic59—21no—
783C2×Dic59—21no—
784C2×Dic59—21no—
785C2×Dic59—21no—
786C2×Dic59—42no—
787C2×Dic59—81no—
788C2×Dic59—81no—
789C2×Dic59—81no—
790C2×Dic59—81no—
791C2×Dic59C22×D411yescharacteristic
792C2×Dic59C22×D411yescharacteristic
793C2×Dic59C22×D411yescharacteristic
794C2×Dic59C22×D411yescharacteristic
795C2×Dic59C22×D411yescharacteristic
796C2×Dic59C22×D411yescharacteristic
797D236—22no—
798D236—21no—
799D236—21no—
800D236—21no—
801D236—81no—
802D236H(5,𝔽2)12yes—
803C4×D59—22no—
804C4×D59—21no—
805C4×D59—21no—
806C4×D59—21no—
807C4×D59—21no—
808C4×D59—41no—
809C4×D59—41no—
810C4×D59—41no—
811C4×D59—42no—
812C4×D59—42no—
813C4×D59—42no—
814C4×D59—81no—
815C4×D59—81no—
816C4×D59—81no—
817C4×D59—81no—
818C4×D59—81no—
819C4×D59—81no—
820C4×D59—81no—
821Dic118—21no—
822Dic118—21no—
823Dic118—21no—
824Dic118—21no—
825Dic118—41no—
826Dic118—81no—
827C8×C59—21no—
828C8×C59—21no—
829C8×C59—21no—
830C8×C59—21no—
831C59⋊C8—21no—
832C59⋊C8—21no—
833C59⋊C8—21no—
834C59⋊C8—21no—
835#61971—591nomaximal, Sylow
836C22×C59—21no—
837C22×C59—21no—
838C22×C59—21no—
839C22×C59—41no—
840C22×C59—41no—
841C22×C59—41no—
842C22×C59—41no—
843C22×C59—41no—
844C22×C59—41no—
845C22×C59—41no—
846C22×C59—41no—
847C22×C59—41no—
848C22×C59—41no—
849C22×C59—41no—
850C22×C59—41no—
851C22×C59—162no—
852C22×C59C23×D411yescharacteristic
853C2×D59—21no—
854C2×D59—21no—
855C2×D59—21no—
856C2×D59—21no—
857C2×D59—22no—
858C2×D59—21no—
859C2×D59—41no—
860C2×D59—41no—
861C2×D59—41no—
862C2×D59—41no—
863C2×D59—41no—
864C2×D59—84no—
865C2×D59—84no—
866C2×D59—162no—
867C2×D59#57512yes—
868C4×C59—21no—
869C4×C59—21no—
870C4×C59—21no—
871C4×C59—21no—
872C4×C59—21no—
873C4×C59—41no—
874C4×C59—41no—
875C4×C59—41no—
876C4×C59—41no—
877C4×C59C2×H(5,𝔽2)11yescharacteristic
878C4×C59#58511yescharacteristic
879Dic59—21no—
880Dic59—21no—
881Dic59—21no—
882Dic59—21no—
883Dic59—21no—
884Dic59—21no—
885Dic59—41no—
886Dic59—41no—
887Dic59—41no—
888Dic59—41no—
889Dic59—41no—
890Dic59—41no—
891#3514—591no—
892#3481—591no—
893#3403—591no—
894#3401—591no—
895#3376—591no—
896#3370—591no—
897#3326—591no—
898#3322—591no—
899#3320—591no—
900#3318—591no—
901#3316—591no—
902#3314—591no—
903#3275—591no—
904#3273—591no—
905#3266—591no—
906#3265—591no—
907#3264—591no—
908#3264—591no—
909#3256—591no—
910#3251—591no—
911#3250—591no—
912#3219—591no—
913#3213D5911yescharacteristic, complemented
914#3211—591no—
915#3114—591no—
916#3111—591no—
917#3105—591no—
918#3040—591no—
919#3036—591no—
920C2×#463—591no—
921#2989—591no—
922C2×C59—41no—
923C2×C59—81no—
924C2×C59—81no—
925C2×C59—81no—
926C2×C59—81no—
927C2×C59#348811yescharacteristic
928C2×C59C2×#57511yescharacteristic
929C2×C59#358511yescharacteristic
930D59—22no—
931D59—41no—
932D59—42no—
933D59—81no—
934C2×#137—591no—
935C2×AGL(1,ℤ/8)—591no—
936C2×AGL(1,ℤ/8)—591no—
937C2×AGL(1,ℤ/8)—591no—
938C22×SD16—591no—
939C22×D8—591no—
940#559—591no—
941#559—591no—
942#556—591no—
943#555—1181no—
944#554—591no—
945#554—591no—
946#553—591no—
947#553—591no—
948#553—1181no—
949#551—1181no—
950#551—1181no—
951#551—1181no—
952#551—1181no—
953D4×Q8—591no—
954#548—591no—
955#548—591no—
956#546—591no—
957#546—591no—
958#546—591no—
959#546—591no—
960#546—1181no—
961#546—1181no—
962D42—591no—
963D42—591no—
964#542—1181no—
965#538—1181no—
966#538—1181no—
967#532—591no—
968#532C2×D5911yescharacteristic, complemented
969#529—591no—
970#529—591no—
971#529—591no—
972#529—591no—
973#529—591no—
974#529—1181no—
975C2×#124—591no—
976C2×#124C2×D5911yescharacteristic, complemented
977#525—1181no—
978#525—1181no—
979#518—1181no—
980C4×#41—591no—
981C4×#41—591no—
982C2×C4×D4—591no—
983C2×C4×D4—591no—
984C2×C4×D4—1181no—
985#497—591no—
986#496—591no—
987#496C2×D5911yescharacteristic
988#496C2×D5911yescharacteristic, complemented
989#495—591no—
990#495—591no—
991#491—591no—
992#490—591no—
993#489C2×D5911yescharacteristic, complemented
994#489C2×D5911yescharacteristic, complemented
995#488—591no—
996#488—591no—
997#485—591no—
998#484—591no—
999#483—591no—
1000#482—591no—
1001#481—591no—
1002#480—591no—
1003#479—591no—
1004#479—591no—
1005#479—591no—
1006#478—591no—
1007#478—591no—
1008#478—591no—
1009#478—591no—
1010#478—591no—
1011#475—591no—
1012#474—591no—
1013#470—591no—
1014#469—591no—
1015#469—591no—
1016#469—591no—
1017#468—591no—
1018#468—591no—
1019#468—591no—
1020#468—591no—
1021#467—591no—
1022#466—591no—
1023#465—591no—
1024#465—591no—
1025#464—591no—
1026#464—591no—
1027#464—591no—
1028#464—591no—
1029#464—591no—
1030#464—591no—
1031#464—591no—
1032#463—591no—
1033#463—591no—
1034#463—591no—
1035#463—591no—
1036#463—591no—
1037#463—591no—
1038#463—591no—
1039#463—591no—
1040#463—591no—
1041#463—591no—
1042#463—591no—
1043#463—591no—
1044#463—591no—
1045#463C2×D5911yescharacteristic, complemented
1046#463C2×D5911yescharacteristic, complemented
1047#463C2×D5911yescharacteristic, complemented
1048#463C2×D5911yescharacteristic, complemented
1049#461—591no—
1050#461—591no—
1051#460—591no—
1052#459—591no—
1053#459—591no—
1054#459—591no—
1055#452—591no—
1056#452—591no—
1057#452—591no—
1058#451—591no—
1059#450—591no—
1060#450—591no—
1061#450—591no—
1062#449—591no—
1063#449—591no—
1064#449—591no—
1065#448—591no—
1066#448C2×D5911yescharacteristic, complemented
1067#448C2×D5911yescharacteristic, complemented
1068#447—591no—
1069#447—591no—
1070#447—591no—
1071#447C2×D5911yescharacteristic, complemented
1072#447C2×D5911yescharacteristic, complemented
1073#446—591no—
1074#446—591no—
1075#442—591no—
1076#442—591no—
1077#442—591no—
1078#441—591no—
1079#440—591no—
1080#440—591no—
1081#440—591no—
1082#440—591no—
1083C4×SD16—591no—
1084C4×SD16—591no—
1085C4×D8—591no—
1086C4×D8—591no—
1087#436—591no—
1088#436—591no—
1089#435—591no—
1090#435—591no—
1091#435—591no—
1092#435—591no—
1093#432—591no—
1094#432C2×D5911yescharacteristic, complemented
1095#431—591no—
1096#423—591no—
1097#423—591no—
1098C2×C4⋊C8—591no—
1099#419—591no—
1100#418—591no—
1101#417—591no—
1102#417—591no—
1103C2×#103—591no—
1104C2×#102—591no—
1105C59#6197111yescharacteristic, complemented, Sylow
1106C2×#41—21no—
1107C2×#41—591no—
1108C2×#41—591no—
1109C2×#41—591no—
1110C2×#41—591no—
1111C22×Q8—591no—
1112C22×Q8C22×D5911yescharacteristic
1113C22×D4—591no—
1114C22×D4—591no—
1115C22×D4—591no—
1116C22×D4—1181no—
1117C22×D4—1181no—
1118C22×D4C22×D5911yescharacteristic
1119C23×C4—1181no—
1120C23×C4—1181no—
1121#137—2362no—
1122AGL(1,ℤ/8)—2362no—
1123AGL(1,ℤ/8)—2362no—
1124AGL(1,ℤ/8)—2362no—
1125C2×Q16—591no—
1126C2×Q16—591no—
1127C2×Q16—591no—
1128C2×SD16—591no—
1129C2×SD16—591no—
1130C2×SD16—591no—
1131C2×SD16—591no—
1132C2×SD16—591no—
1133C2×SD16—591no—
1134C2×SD16—591no—
1135C2×SD16—591no—
1136C2×SD16—2362no—
1137C2×SD16C22×D5911yescharacteristic
1138C2×SD16C22×D5911yescharacteristic
1139C2×SD16C22×D5911yescharacteristic
1140C2×SD16C22×D5911yescharacteristic
1141C2×D8—591no—
1142C2×D8—591no—
1143C2×D8—591no—
1144C2×D8—591no—
1145C2×D8—591no—
1146C2×D8—2362no—
1147C2×D8C22×D5911yescharacteristic
1148C2×D8C22×D5911yescharacteristic
1149C2×D8C22×D5911yescharacteristic
1150C2×D8C22×D5911yescharacteristic
1151C2×M16—591no—
1152C2×M16—591no—
1153C2×M16—591no—
1154C2×M16—591no—
1155C22×C8—591no—
1156C22×C8—591no—
1157C4⋊Q8—591no—
1158C4⋊Q8—1181no—
1159C4⋊Q8C22×D5911yescharacteristic
1160#127—591no—
1161#127C22×D5911yescharacteristic
1162#126—1181no—
1163#126—1181no—
1164#126—1181no—
1165#126—1181no—
1166#126—1181no—
1167#126—1181no—
1168#126—1181no—
1169#126—1181no—
1170#126—1181no—
1171#125—591no—
1172#125—591no—
1173#125—591no—
1174#125—1181no—
1175#124—21no—
1176#124—21no—
1177#124—21no—
1178#124—591no—
1179#124—591no—
1180#124—591no—
1181#124—591no—
1182#124—591no—
1183#124—1181no—
1184#124—1181no—
1185#124—1181no—
1186#124—1181no—
1187#124—1181no—
1188#124—1181no—
1189#124C22×D5911yescharacteristic
1190#124C22×D5911yescharacteristic
1191#124C22×D5911yescharacteristic
1192#124C22×D5911yescharacteristic
1193#123—1181no—
1194#123—1181no—
1195#123—1181no—
1196#123—1181no—
1197#123—1181no—
1198#123—1181no—
1199#123—1181no—
1200#123—1181no—
1201#123—1181no—
1202#123—1181no—
1203#123—1181no—
1204#123—1181no—
1205#123—1181no—
1206#123—1181no—
1207#123—1181no—
1208C22⋊Q8—591no—
1209C22⋊Q8—591no—
1210C22⋊Q8—591no—
1211C22⋊Q8—591no—
1212C22⋊Q8—591no—
1213C22⋊Q8—1181no—
1214C22⋊Q8—1181no—
1215C22⋊Q8—1181no—
1216C22⋊Q8—1181no—
1217C22⋊Q8—1181no—
1218C22⋊Q8—1181no—
1219C22⋊Q8—1181no—
1220C22⋊Q8—1181no—
1221C22⋊Q8—1181no—
1222C22⋊Q8—1181no—
1223#121—21no—
1224#121—591no—
1225#121—591no—
1226#121—591no—
1227#121—591no—
1228#121—591no—
1229#121—1181no—
1230#121—1181no—
1231#121—1181no—
1232#121—1181no—
1233#121—1181no—
1234#121—1181no—
1235#121—1181no—
1236#121—1181no—
1237#121—1181no—
1238#121—1181no—
1239#121—1181no—
1240#121—1181no—
1241#121C22×D5911yescharacteristic
1242#121C22×D5911yescharacteristic
1243#120—1181no—
1244#120—1181no—
1245#120—1181no—
1246#120—1181no—
1247#120—1181no—
1248#120—1181no—
1249#120—1181no—
1250#120—1181no—
1251C4×Q8—591no—
1252C4×Q8—591no—
1253C4×Q8—591no—
1254C4×Q8—591no—
1255C4×Q8—591no—
1256C4×Q8—591no—
1257C4×Q8—591no—
1258C4×D4—21no—
1259C4×D4—591no—
1260C4×D4—591no—
1261C4×D4—591no—
1262C4×D4—591no—
1263C4×D4—591no—
1264C4×D4—591no—
1265C4×D4—591no—
1266C4×D4—591no—
1267C4×D4—591no—
1268C4×D4—591no—
1269C4×D4—591no—
1270C4×D4—591no—
1271C4×D4—591no—
1272C4×D4—591no—
1273C4×D4—591no—
1274C4×D4—1181no—
1275C4×D4—1181no—
1276C4×D4—1181no—
1277C4×D4—1181no—
1278C4×D4—1181no—
1279C4×D4—1181no—
1280C4×D4—1181no—
1281C4×D4—1181no—
1282C4×D4—1181no—
1283C4×D4—1181no—
1284C4×D4—1181no—
1285C4×D4—1181no—
1286C4×D4—1181no—
1287C4×D4—1181no—
1288C4×D4—1181no—
1289C4×D4—1181no—
1290C4×D4—1181no—
1291C4×D4—1181no—
1292C4×D4—1181no—
1293C4×D4—1181no—
1294C4×D4—1181no—
1295C4×D4C22×D5911yescharacteristic
1296C4×D4C22×D5911yescharacteristic
1297#117—591no—
1298#117—591no—
1299#117—591no—
1300#117—591no—
1301#117—1181no—
1302#117—1181no—
1303#117—1181no—
1304#117—1181no—
1305#117—1181no—
1306#117—1181no—
1307#117—1181no—
1308C2×C4⋊C4—591no—
1309C2×C4⋊C4—591no—
1310C2×C4⋊C4—1181no—
1311C2×C22⋊C4—21no—
1312C2×C22⋊C4—21no—
1313C2×C22⋊C4—1181no—
1314C2×C22⋊C4—1181no—
1315C2×C22⋊C4—1181no—
1316C2×C22⋊C4—1181no—
1317C2×C22⋊C4—1181no—
1318C2×C22⋊C4—1181no—
1319C2×C22⋊C4—1181no—
1320C2×C22⋊C4—1181no—
1321C2×C42—591no—
1322C2×C42—591no—
1323C2×C42—1181no—
1324C2×C42C22×D5911yescharacteristic
1325#107—591no—
1326#107—591no—
1327#107—591no—
1328#107—591no—
1329#106—591no—
1330#106—591no—
1331#106—591no—
1332#106—591no—
1333C4⋊C8—591no—
1334C4⋊C8—591no—
1335C4⋊C8—591no—
1336C4⋊C8—591no—
1337C4⋊C8—591no—
1338C4⋊C8—591no—
1339C4⋊C8—591no—
1340C4⋊C8—591no—
1341C4⋊C8C22×D5911yescharacteristic
1342C4⋊C8C22×D5911yescharacteristic
1343#103—591no—
1344#103—591no—
1345#103—591no—
1346#103—591no—
1347#103—591no—
1348#103—591no—
1349#103—591no—
1350#103—591no—
1351#103—591no—
1352#103—591no—
1353#103C22×D5911yescharacteristic
1354#103C22×D5911yescharacteristic
1355#103C22×D5911yescharacteristic
1356#103C22×D5911yescharacteristic
1357#102—591no—
1358#102—591no—
1359#102—591no—
1360#102—591no—
1361#102—591no—
1362#102—591no—
1363#102—591no—
1364#102—591no—
1365#102—591no—
1366#102—591no—
1367#102—591no—
1368#102—591no—
1369#102—591no—
1370#102—591no—
1371#102C22×D5911yescharacteristic
1372#102C22×D5911yescharacteristic
1373#102C22×D5911yescharacteristic
1374#102C22×D5911yescharacteristic
1375C22⋊C8—591no—
1376C22⋊C8—591no—
1377C22⋊C8—591no—
1378C22⋊C8—591no—
1379C22⋊C8C22×D5911yescharacteristic
1380C22⋊C8C22×D5911yescharacteristic
1381#97—591no—
1382#97—591no—
1383#97C22×D5911yescharacteristic
1384#97C22×D5911yescharacteristic
1385C4×C8—591no—
1386C4×C8—591no—
1387C24—21no—
1388C24—1181no—
1389C24—1181no—
1390C24—1181no—
1391#41—82no—
1392#41—1182no—
1393#41—2361no—
1394#41—2362no—
1395#41—2361no—
1396#41—2361no—
1397#41—2361no—
1398#41—2361no—
1399C2×Q8—21no—
1400C2×Q8—21no—
1401C2×Q8—41no—
1402C2×Q8—41no—
1403C2×Q8—591no—
1404C2×Q8—591no—
1405C2×Q8—591no—
1406C2×Q8—1181no—
1407C2×Q8—2361no—
1408C2×Q8—2361no—
1409C2×Q8C23×D5911yescharacteristic
1410C2×Q8C23×D5911yescharacteristic
1411C2×D4—21no—
1412C2×D4—21no—
1413C2×D4—21no—
1414C2×D4—21no—
1415C2×D4—21no—
1416C2×D4—41no—
1417C2×D4—41no—
1418C2×D4—591no—
1419C2×D4—591no—
1420C2×D4—591no—
1421C2×D4—591no—
1422C2×D4—591no—
1423C2×D4—1181no—
1424C2×D4—1181no—
1425C2×D4—1181no—
1426C2×D4—1181no—
1427C2×D4—1181no—
1428C2×D4—1181no—
1429C2×D4—1182no—
1430C2×D4—1182no—
1431C2×D4—1181no—
1432C2×D4—1181no—
1433C2×D4—1181no—
1434C2×D4—1181no—
1435C2×D4—1181no—
1436C2×D4—1181no—
1437C2×D4—1181no—
1438C2×D4—2361no—
1439C2×D4—2361no—
1440C2×D4—2361no—
1441C2×D4—2361no—
1442C2×D4—2364no—
1443C2×D4—2364no—
1444C2×D4C23×D5911yescharacteristic
1445C2×D4C23×D5911yescharacteristic
1446C2×D4C23×D5911yescharacteristic
1447C2×D4C23×D5911yescharacteristic
1448C22×C4—21no—
1449C22×C4—21no—
1450C22×C4—21no—
1451C22×C4—591no—
1452C22×C4—591no—
1453C22×C4—591no—
1454C22×C4—591no—
1455C22×C4—591no—
1456C22×C4—591no—
1457C22×C4—1181no—
1458C22×C4—1181no—
1459C22×C4—1181no—
1460C22×C4—1181no—
1461C22×C4—1181no—
1462C22×C4—1181no—
1463C22×C4—1181no—
1464C22×C4—1181no—
1465C22×C4—1181no—
1466C22×C4—1181no—
1467C22×C4—1181no—
1468C22×C4—1181no—
1469C22×C4—1181no—
1470C22×C4—1181no—
1471C22×C4—1181no—
1472C22×C4—4722no—
1473C22×C4—4722no—
1474C22×C4D4×D5911yescharacteristic
1475C22×C4D4×D5911yescharacteristic
1476C22×C4C23×D5911yescharacteristic
1477Q16—2361no—
1478Q16—2361no—
1479Q16—2361no—
1480SD16—41no—
1481SD16—41no—
1482SD16—41no—
1483SD16—41no—
1484SD16—1182no—
1485SD16—1182no—
1486SD16—1182no—
1487SD16—2361no—
1488SD16—2361no—
1489SD16—2361no—
1490SD16—2361no—
1491SD16—2361no—
1492D8—41no—
1493D8—41no—
1494D8—41no—
1495D8—41no—
1496D8—1182no—
1497D8—1182no—
1498D8—1182no—
1499D8—2361no—
1500D8—2361no—
1501M16—2361no—
1502M16—2361no—
1503M16—2361no—
1504M16—2361no—
1505C2×C8—591no—
1506C2×C8—591no—
1507C2×C8—591no—
1508C2×C8—591no—
1509C2×C8—2361no—
1510C2×C8—2361no—
1511C2×C8C23×D5911yescharacteristic
1512C2×C8C23×D5911yescharacteristic
1513C2×C8C23×D5911yescharacteristic
1514C2×C8C23×D5911yescharacteristic
1515C4⋊C4—21no—
1516C4⋊C4—591no—
1517C4⋊C4—591no—
1518C4⋊C4—591no—
1519C4⋊C4—591no—
1520C4⋊C4—591no—
1521C4⋊C4—591no—
1522C4⋊C4—591no—
1523C4⋊C4—591no—
1524C4⋊C4—591no—
1525C4⋊C4—591no—
1526C4⋊C4—1181no—
1527C4⋊C4—1181no—
1528C4⋊C4—1181no—
1529C4⋊C4—1181no—
1530C4⋊C4—1181no—
1531C4⋊C4—1181no—
1532C4⋊C4—1181no—
1533C4⋊C4—1181no—
1534C4⋊C4—1181no—
1535C4⋊C4—1181no—
1536C4⋊C4—1181no—
1537C4⋊C4—1181no—
1538C4⋊C4—1181no—
1539C4⋊C4—1181no—
1540C4⋊C4—1181no—
1541C4⋊C4—1181no—
1542C4⋊C4—1181no—
1543C4⋊C4—1181no—
1544C4⋊C4—1181no—
1545C4⋊C4—1181no—
1546C4⋊C4C23×D5911yescharacteristic
1547C4⋊C4C23×D5911yescharacteristic
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—21no—
1551C22⋊C4—21no—
1552C22⋊C4—21no—
1553C22⋊C4—21no—
1554C22⋊C4—21no—
1555C22⋊C4—21no—
1556C22⋊C4—21no—
1557C22⋊C4—21no—
1558C22⋊C4—21no—
1559C22⋊C4—21no—
1560C22⋊C4—591no—
1561C22⋊C4—591no—
1562C22⋊C4—591no—
1563C22⋊C4—591no—
1564C22⋊C4—591no—
1565C22⋊C4—591no—
1566C22⋊C4—1181no—
1567C22⋊C4—1181no—
1568C22⋊C4—1181no—
1569C22⋊C4—1181no—
1570C22⋊C4—1181no—
1571C22⋊C4—1181no—
1572C22⋊C4—1181no—
1573C22⋊C4—1181no—
1574C22⋊C4—1181no—
1575C22⋊C4—1181no—
1576C22⋊C4—1181no—
1577C22⋊C4—1181no—
1578C22⋊C4—1181no—
1579C22⋊C4—1181no—
1580C22⋊C4—1181no—
1581C22⋊C4—1181no—
1582C22⋊C4—1181no—
1583C22⋊C4—1181no—
1584C22⋊C4—1181no—
1585C22⋊C4—1181no—
1586C22⋊C4—1181no—
1587C22⋊C4—1181no—
1588C22⋊C4—1181no—
1589C22⋊C4—1181no—
1590C22⋊C4—1181no—
1591C22⋊C4—1181no—
1592C22⋊C4—1181no—
1593C22⋊C4—1181no—
1594C22⋊C4—1181no—
1595C22⋊C4—1181no—
1596C42—591no—
1597C42—591no—
1598C42—591no—
1599C42—591no—
1600C42—591no—
1601C42—591no—
1602C42—1181no—
1603C42—1181no—
1604C42—1181no—
1605C42—1181no—
1606C42—1181no—
1607C42—1181no—
1608C42D4×D5911yescharacteristic
1609C42D4×D5911yescharacteristic
1610C42C23×D5911yescharacteristic
1611C42C23×D5911yescharacteristic
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—21no—
1616C23—42no—
1617C23—81no—
1618C23—81no—
1619C23—591no—
1620C23—591no—
1621C23—1181no—
1622C23—1181no—
1623C23—4721no—
1624C23—4721no—
1625C23—4721no—
1626C23—4721no—
1627C23—2362no—
1628C23—2362no—
1629C23—2362no—
1630C23—2362no—
1631C23—2362no—
1632C23C2×D4×D5911yescharacteristic
1633Q8—21no—
1634Q8—21no—
1635Q8—21no—
1636Q8—21no—
1637Q8—81no—
1638Q8—81no—
1639Q8—1181no—
1640Q8—1181no—
1641Q8—1181no—
1642Q8—1181no—
1643Q8—4721no—
1644Q8—2361no—
1645D4—21no—
1646D4—21no—
1647D4—21no—
1648D4—21no—
1649D4—21no—
1650D4—21no—
1651D4—21no—
1652D4—21no—
1653D4—42no—
1654D4—81no—
1655D4—81no—
1656D4—81no—
1657D4—81no—
1658D4—592no—
1659D4—1182no—
1660D4—1182no—
1661D4—1181no—
1662D4—1181no—
1663D4—1181no—
1664D4—4721no—
1665D4—4721no—
1666D4—4721no—
1667D4—4721no—
1668D4—4721no—
1669D4—2361no—
1670D4—2362no—
1671D4—2362no—
1672D4—2362no—
1673D4—2362no—
1674D4—2362no—
1675D4—2362no—
1676D4—2362no—
1677D4—2362no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—41no—
1685C2×C4—41no—
1686C2×C4—42no—
1687C2×C4—42no—
1688C2×C4—81no—
1689C2×C4—591no—
1690C2×C4—591no—
1691C2×C4—591no—
1692C2×C4—591no—
1693C2×C4—591no—
1694C2×C4—591no—
1695C2×C4—1182no—
1696C2×C4—1181no—
1697C2×C4—1181no—
1698C2×C4—1181no—
1699C2×C4—1181no—
1700C2×C4—1181no—
1701C2×C4—1181no—
1702C2×C4—1181no—
1703C2×C4—1181no—
1704C2×C4—1181no—
1705C2×C4—1181no—
1706C2×C4—4721no—
1707C2×C4—4721no—
1708C2×C4—4721no—
1709C2×C4—4721no—
1710C2×C4—4721no—
1711C2×C4—4721no—
1712C2×C4—4721no—
1713C2×C4—4721no—
1714C2×C4—4721no—
1715C2×C4—4721no—
1716C2×C4—4721no—
1717C2×C4—2361no—
1718C2×C4—2361no—
1719C2×C4—2361no—
1720C2×C4—2362no—
1721C2×C4—2362no—
1722C2×C4—2362no—
1723C2×C4—2362no—
1724C2×C4C2×D4×D5911yescharacteristic
1725C2×C4C2×D4×D5911yescharacteristic
1726C2×C4C2×D4×D5911yescharacteristic
1727C2×C4C2×D4×D5911yescharacteristic
1728C2×C4C2×D4×D5911yescharacteristic
1729C2×C4C24×D5911yescharacteristic
1730C8—21no—
1731C8—21no—
1732C8—21no—
1733C8—21no—
1734C8—1181no—
1735C8—1181no—
1736C8—1181no—
1737C8—1181no—
1738C22—21no—
1739C22—21no—
1740C22—21no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—41no—
1751C22—41no—
1752C22—41no—
1753C22—162no—
1754C22—592no—
1755C22—1181no—
1756C22—1181no—
1757C22—1181no—
1758C22—1182no—
1759C22—1181no—
1760C22—1181no—
1761C22—9442no—
1762C22—4724no—
1763C22—4724no—
1764C22—2361no—
1765C22—2361no—
1766C22—2361no—
1767C22—2361no—
1768C22—2361no—
1769C22C22×D4×D5911yescharacteristic
1770C4—21no—
1771C4—21no—
1772C4—21no—
1773C4—21no—
1774C4—21no—
1775C4—41no—
1776C4—41no—
1777C4—41no—
1778C4—41no—
1779C4—1181no—
1780C4—1181no—
1781C4—1181no—
1782C4—1181no—
1783C4—1181no—
1784C4—1181no—
1785C4—2361no—
1786C4—2361no—
1787C4—2361no—
1788C4—2361no—
1789C4—2361no—
1790C4—2361no—
1791C4H(5,𝔽2)×D5911yescharacteristic
1792C4#1683823711yescharacteristic
1793C2—41no—
1794C2—81no—
1795C2—81no—
1796C2—81no—
1797C2—81no—
1798C2—1182no—
1799C2—4721no—
1800C2—2361no—
1801C2—2362no—
1802C2#2143776311yescharacteristic
1803C2#575×D5911yescharacteristic
1804C2#2143887211yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3213C2
socleC22×C59C23×D4
hypercenter#3213D59
hypocenterC59#61971
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3213

Complements

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

NH ≅ G/Ntype
1. #21438051C2semidirect
2. #21437704C2semidirect
3. #21437181C2semidirect
4. #21437157C2semidirect
5. #21436922C2semidirect
6. #21436848C2semidirect
7. #21436353C2semidirect
8. #21436301C2semidirect
9. #21436260C2semidirect
10. #21436230C2semidirect
11. #21436206C2semidirect
12. #21436176C2semidirect
13. #21435730C2semidirect
14. #21435707C2semidirect
15. #21435609C2semidirect
16. #21435590C2semidirect
17. #21435575C2semidirect
18. #21435574C2semidirect
19. #21435494C2semidirect
20. #21435452C2semidirect
21. #21435445C2semidirect
22. #21435132C2semidirect
23. #21435059C2semidirect
24. #21434233C2semidirect
25. #21434207C2semidirect
26. #21434142C2semidirect
27. #21433586C2semidirect
28. #21433558C2semidirect
29. #463×D59C2semidirect
30. #21433215C2semidirect
31. C59×#3213C2semidirect
32. C2×#14273758C22semidirect
33. C2×#14273754C22semidirect
35. C2×#14273751C22semidirect
36. C2×SD16×D59C22semidirect
38. #16838138C22semidirect
39. #16838134C22semidirect
40. #16838121C22semidirect
42. #16838113C22semidirect
43. #16838113C22semidirect
46. #16838099C22semidirect
51. Q8×C22⋊D59C22semidirect
52. #16838063C22semidirect
56. #16838049C22semidirect
57. #16838046C22semidirect
60. #16838037C22semidirect
61. D4×C22⋊D59C22semidirect
65. #16837951C22semidirect
66. #16837936C22semidirect
68. #16837934C22semidirect
69. #16837934C22semidirect
70. #16837931C22semidirect
71. #16837931C22semidirect
72. #124×D59C22semidirect
77. C4×#11745685C22semidirect
79. C4×D4×D59C22semidirect
80. C4×D4×D59C22semidirect
81. #16837793C22semidirect
82. #16837790C22semidirect
83. #16837785C22semidirect
84. #16837783C22semidirect
85. #16837769C22semidirect
86. #16837765C22semidirect
87. #16837758C22semidirect
88. #16837755C22semidirect
89. #16837744C22semidirect
90. #16837736C22semidirect
91. #16837731C22semidirect
92. #16837727C22semidirect
93. #16837719C22semidirect
94. #16837714C22semidirect
95. #16837711C22semidirect
96. #16837710C22semidirect
97. #16837707C22semidirect
98. #16837704C22semidirect
99. #16837703C22semidirect
100. #16837702C22semidirect
101. #16837702C22semidirect
102. #16837700C22semidirect
103. #16837684C22semidirect
104. #16837679C22semidirect
105. #16837659C22semidirect
106. #16837653C22semidirect
107. #16837653C22semidirect
109. #16837647C22semidirect
110. #16837646C22semidirect
111. #16837646C22semidirect
112. #16837645C22semidirect
113. #16837642C22semidirect
115. #16837630C22semidirect
116. #16837628C22semidirect
117. #16837625C22semidirect
118. #16837622C22semidirect
119. #16837622C22semidirect
120. #16837621C22semidirect
121. #16837621C22semidirect
122. #16837621C22semidirect
123. #16837621C22semidirect
124. #16837620C22semidirect
125. #16837619C22semidirect
126. #16837618C22semidirect
127. #16837617C22semidirect
128. #16837617C22semidirect
130. #16837615C22semidirect
131. #16837615C22semidirect
132. #16837615C22semidirect
135. #16837614C22semidirect
136. #16837614C22semidirect
137. #16837606C22semidirect
138. #16837605C22semidirect
139. #16837599C22semidirect
141. #16837595C22semidirect
142. #16837594C22semidirect
143. #16837567C22semidirect
144. #16837566C22semidirect
145. #16837565C22semidirect
146. #16837559C22semidirect
147. #16837554C22semidirect
148. #16837551C22semidirect
149. #16837551C22semidirect
151. #16837546C22semidirect
152. #16837544C22semidirect
153. #16837539C22semidirect
157. #16837530C22semidirect
158. #16837530C22semidirect
159. #16837515C22semidirect
160. #16837514C22semidirect
162. #16837510C22semidirect
163. #16837505C22semidirect
164. #16837504C22semidirect
165. #16837504C22semidirect
166. #16837503C22semidirect
167. SD16×Dic59C22semidirect
168. #16837487C22semidirect
169. D8×Dic59C22semidirect
170. #16837482C22semidirect
171. #16837477C22semidirect
172. #16837477C22semidirect
173. #16837476C22semidirect
174. #16837476C22semidirect
175. #16837475C22semidirect
176. #16837475C22semidirect
177. #16837458C22semidirect
178. #16837454C22semidirect
179. #16837426C22semidirect
180. #16837424C22semidirect
181. C4⋊C8×D59C22semidirect
182. #16837411C22semidirect
183. #16837407C22semidirect
184. #16837402C22semidirect
185. #16837400C22semidirect
186. #103×D59C22semidirect
187. #102×D59C22semidirect
188. C59×#532C22semidirect
189. C2×#124×C59C22semidirect
191. C59×#496C22semidirect
192. C59×#489C22semidirect
193. C59×#489C22semidirect
194. C59×#463C22semidirect
195. C59×#463C22semidirect
196. C59×#463C22semidirect
197. C59×#463C22semidirect
198. C59×#448C22semidirect
199. C59×#448C22semidirect
200. C59×#447C22semidirect
201. C59×#447C22semidirect
202. C59×#432C22semidirect
913. #3213D59semidirect
968. #532C2×D59semidirect
976. C2×#124C2×D59semidirect
988. #496C2×D59semidirect
993. #489C2×D59semidirect
994. #489C2×D59semidirect
1045. #463C2×D59semidirect
1046. #463C2×D59semidirect
1047. #463C2×D59semidirect
1048. #463C2×D59semidirect
1066. #448C2×D59semidirect
1067. #448C2×D59semidirect
1071. #447C2×D59semidirect
1072. #447C2×D59semidirect
1094. #432C2×D59semidirect
1105. C59#61971semidirect

Maximal subgroups

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

subgroupindex
#214380512
#214377042
#214371812
#214371572
#214369222
#214368482
#214363532
#214363012
#214362602
#214362302
#214362062
#214361762
#214357302
#214357072
#214356092
#214355902
#214355752
#214355742
#214354942
#214354522
#214354452
#214351322
#214350592
#214342332
#214342072
#214341422
#214335862
#214335582
#463×D592
#214332152
C59×#32132
#6197159