Finite Group Databasebeta

← #29470292

Subgroups — #29470292

Order 15104.

2126 conjugacy classes of subgroups.

The subgroup lattice has 1800 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437652C211yesmaximal, characteristic, complemented
2D4×#11745685C211yesmaximal, characteristic, complemented
3#21437119C211yesmaximal, characteristic, complemented
4#21436998C211yesmaximal, characteristic, complemented
5#21436809C211yesmaximal, characteristic, complemented
6#21436806C211yesmaximal, characteristic, complemented
7#21436684C211yesmaximal, characteristic, complemented
8#21436543C211yesmaximal, characteristic, complemented
9#21436539C211yesmaximal, characteristic, complemented
10#21436399C211yesmaximal, characteristic, complemented
11#21436331C211yesmaximal, characteristic, complemented
12#21436114C211yesmaximal, characteristic, complemented
13#21436110C211yesmaximal, characteristic, complemented
14#21436064C211yesmaximal, characteristic, complemented
15#21436060C211yesmaximal, characteristic, complemented
16#21435694C211yesmaximal, characteristic, complemented
17#21435582C211yesmaximal, characteristic, complemented
18#21435574C211yesmaximal, characteristic, complemented
19#21434692C211yesmaximal, characteristic, complemented
20#21434689C211yesmaximal, characteristic, complemented
21#21434652C211yesmaximal, characteristic, complemented
22#21434157C211yesmaximal, characteristic, complemented
23#21434154C211yesmaximal, characteristic, complemented
24#21434141C211yesmaximal, characteristic, complemented
25#21434102C211yesmaximal, characteristic, complemented
26#21434094C211yesmaximal, characteristic, complemented
27#21433060C211yesmaximal, characteristic, complemented
28C4×#14273754C211yesmaximal, characteristic, complemented
29C4×#14273753C211yesmaximal, characteristic, complemented
30C4×D8×D59C211yesmaximal, characteristic, complemented
31C59×#3105C211yesmaximal, characteristic, complemented
32C22×#11745685—21no—
33C2×#14273754C2211yescharacteristic
34C2×#14273753C2211yescharacteristic
35C2×D8×D59C2211yescharacteristic
36#16838121C2211yescharacteristic, complemented
37#16838116C2211yescharacteristic, complemented
38#16838108C2211yescharacteristic, complemented
39#16838097—21no—
40#16838090C2211yescharacteristic, complemented
41#16838088—21no—
42#16838086C2211yescharacteristic, complemented
43#16838080—21no—
44#16838077—21no—
45#16838073C2211yescharacteristic, complemented
46D4×Dic118C2211yescharacteristic, complemented
47#16838061—21no—
48#16838057C2211yescharacteristic
49#16838054C2211yescharacteristic, complemented
50#16838053C2211yescharacteristic
51#16838053C2211yescharacteristic, complemented
52#16838049C2211yescharacteristic, complemented
53#16838048—21no—
54#16838045C2211yescharacteristic, complemented
55#16838042—21no—
56#16838042—21no—
57D4×D236C2211yescharacteristic
58D4×C22⋊D59C2211yescharacteristic
59D4×C22⋊D59C2211yescharacteristic, complemented
60#16837956C2211yescharacteristic, complemented
61#16837952C2211yescharacteristic, complemented
62#16837949C2211yescharacteristic
63#16837949C2211yescharacteristic, complemented
64#16837934—21no—
65#16837934C2211yescharacteristic, complemented
66#16837930—21no—
67#16837913—21no—
68#16837911—21no—
69#16837911—21no—
70#16837911—21no—
71C4×#11745689C2211yescharacteristic, complemented
72C4×#11745685C2211yescharacteristic
73C4×#11745685C2211yescharacteristic, complemented
74C4×D4×D59C2211yescharacteristic
75C4×D4×D59C2211yescharacteristic, complemented
76C4×D4×D59C2211yescharacteristic, complemented
77#117×D59—21no—
78#16837812C2211yescharacteristic, complemented
79#16837810C2211yescharacteristic, complemented
80#16837799C2211yescharacteristic, complemented
81#16837792C2211yescharacteristic, complemented
82#16837790C2211yescharacteristic, complemented
83#16837773C2211yescharacteristic, complemented
84#16837768C2211yescharacteristic, complemented
85#16837765C2211yescharacteristic, complemented
86#16837761C2211yescharacteristic, complemented
87#16837760C2211yescharacteristic, complemented
88#16837751C2211yescharacteristic, complemented
89#16837747C2211yescharacteristic, complemented
90#16837739C2211yescharacteristic, complemented
91#16837734C2211yescharacteristic, complemented
92#16837731C2211yescharacteristic, complemented
93#16837728C2211yescharacteristic, complemented
94#16837727C2211yescharacteristic, complemented
95#16837727C2211yescharacteristic, complemented
96#16837724C2211yescharacteristic, complemented
97#16837719C2211yescharacteristic, complemented
98#16837717C2211yescharacteristic, complemented
99#16837714C2211yescharacteristic, complemented
100#16837705C2211yescharacteristic, complemented
101#16837704C2211yescharacteristic, complemented
102#16837698C2211yescharacteristic, complemented
103#16837695C2211yescharacteristic, complemented
104#16837693C2211yescharacteristic, complemented
105#16837691C2211yescharacteristic, complemented
106#16837691C2211yescharacteristic, complemented
107#16837690C2211yescharacteristic, complemented
108#16837681C2211yescharacteristic, complemented
109#16837680C2211yescharacteristic, complemented
110#16837654C2211yescharacteristic, complemented
111#16837653C2211yescharacteristic, complemented
112#16837653C2211yescharacteristic, complemented
113#16837652C2211yescharacteristic, complemented
114#16837650C2211yescharacteristic, complemented
115#16837650C2211yescharacteristic, complemented
116#16837649C2211yescharacteristic, complemented
117#16837647C2211yescharacteristic, complemented
118#16837634C2211yescharacteristic, complemented
119#16837632C2211yescharacteristic, complemented
120#16837630C2211yescharacteristic, complemented
121#16837628C2211yescharacteristic, complemented
122#16837616C2211yescharacteristic, complemented
123#16837615C2211yescharacteristic
124#16837606C2211yescharacteristic, complemented
125#16837605C2211yescharacteristic, complemented
126#16837603C2211yescharacteristic, complemented
127#16837600C2211yescharacteristic, complemented
128#16837598C2211yescharacteristic, complemented
129#16837596C2211yescharacteristic, complemented
130#16837596C2211yescharacteristic, complemented
131#16837595C2211yescharacteristic, complemented
132#16837554C2211yescharacteristic
133#16837554C2211yescharacteristic, complemented
134#16837551C2211yescharacteristic
135#16837550C2211yescharacteristic, complemented
136#16837549C2211yescharacteristic, complemented
137#16837549C2211yescharacteristic, complemented
138#16837546C2211yescharacteristic, complemented
139#16837537C2211yescharacteristic, complemented
140#16837534C2211yescharacteristic
141#16837534C2211yescharacteristic, complemented
142#16837531C2211yescharacteristic, complemented
143#16837531C2211yescharacteristic, complemented
144#16837513C2211yescharacteristic, complemented
145#16837512C2211yescharacteristic
146#16837512C2211yescharacteristic, complemented
147#16837511C2211yescharacteristic
148#16837505C2211yescharacteristic, complemented
149#16837503C2211yescharacteristic, complemented
150#16837502C2211yescharacteristic, complemented
151#16837502C2211yescharacteristic, complemented
152C4×#11745660C2211yescharacteristic, complemented
153C4×#11745660C2211yescharacteristic, complemented
154C4×#11745671C2211yescharacteristic, complemented
155C4×#11745671C2211yescharacteristic, complemented
156C4×#11745670C2211yescharacteristic, complemented
157C4×#11745670C2211yescharacteristic, complemented
158C4×D472C2211yescharacteristic, complemented
159C4×D472C2211yescharacteristic, complemented
160D8×Dic59C2211yescharacteristic
161#16837484C2211yescharacteristic, complemented
162C4×#11745669C2211yescharacteristic
163C4×#11745669C2211yescharacteristic, complemented
164C4×#11745669C2211yescharacteristic, complemented
165C4×#11745669C2211yescharacteristic, complemented
166#16837482C2211yescharacteristic
167#16837482C2211yescharacteristic, complemented
168#16837477C2211yescharacteristic, complemented
169#16837477C2211yescharacteristic, complemented
170#16837476C2211yescharacteristic, complemented
171#16837476C2211yescharacteristic, complemented
172#16837472C2211yescharacteristic, complemented
173#16837472C2211yescharacteristic, complemented
174#16837453C2211yescharacteristic, complemented
175#16837453C2211yescharacteristic, complemented
176#16837442C2211yescharacteristic, complemented
177#16837441C2211yescharacteristic, complemented
178#107×D59C2211yescharacteristic, complemented
179#16837407C2211yescharacteristic, complemented
180#16837405C2211yescharacteristic, complemented
181#16837402C2211yescharacteristic, complemented
182#16837401C2211yescharacteristic, complemented
183#102×D59C2211yescharacteristic
184#102×D59C2211yescharacteristic, complemented
185C4×#11745664C2211yescharacteristic, complemented
186C4×#11745659C2211yescharacteristic, complemented
187C4×C8×D59C2211yescharacteristic, complemented
188C59×#529C2211yescharacteristic, complemented
189C2×C4×D4×C59C2211yescharacteristic, complemented
190C59×#484C2211yescharacteristic, complemented
191C59×#481C2211yescharacteristic, complemented
192C59×#478C2211yescharacteristic, complemented
193C59×#478C2211yescharacteristic, complemented
194C59×#463C2211yescharacteristic
195C59×#463C2211yescharacteristic, complemented
196C59×#450C2211yescharacteristic, complemented
197C59×#447C2211yescharacteristic
198C4×SD16×C59C2211yescharacteristic, complemented
199C4×SD16×C59C2211yescharacteristic, complemented
200C4×D8×C59C2211yescharacteristic
201C4×D8×C59C2211yescharacteristic, complemented
202C59×#431C2211yescharacteristic, complemented
203C2×#11745689C2311yescharacteristic
204C2×#11745685—21no—
205C2×#11745685—21no—
206C2×#11745685—21no—
207C2×#11745685—21no—
208C2×#11745685—21no—
209C2×#11745685—21no—
210C2×#11745685—21no—
211C2×#11745685—48no—
212C2×#11745685D411yescharacteristic
213C2×#11745685C2311yescharacteristic
214C22×Dic118—21no—
215C22×D236—21no—
216C22×C22⋊D59—21no—
217C22×C22⋊D59—21no—
218C2×D4×D59C2311yescharacteristic
219C2×D4×D59C2311yescharacteristic
220C2×D4×D59C2311yescharacteristic
221C22×C4×D59—21no—
222C22×C4×D59—21no—
223C22×C4×D59—21no—
224#14273754—24no—
225#14273753—24no—
226C2×#11745660C2311yescharacteristic
227C2×#11745660C2311yescharacteristic
228C2×#11745670C2311yescharacteristic
229C2×#11745670C2311yescharacteristic
230C2×#11745671C2311yescharacteristic
231C2×#11745671C2311yescharacteristic
232C2×D472C2311yescharacteristic
233C2×D472C2311yescharacteristic
234C2×#11745669C2311yescharacteristic
235C2×#11745669C2311yescharacteristic
236C2×#11745669C2311yescharacteristic
237C2×#11745669C2311yescharacteristic
238D8×D59—24no—
239C2×#11745664C2311yescharacteristic
240C2×#11745664C2311yescharacteristic
241C2×#11745659C2311yescharacteristic
242C2×#11745659C2311yescharacteristic
243C2×C8×D59C2311yescharacteristic
244C2×C8×D59C2311yescharacteristic
245#14273727C2311yescharacteristic
246#14273726C2311yescharacteristic
247#14273726C2311yescharacteristic
248#14273726C2311yescharacteristic
249#14273725C2311yescharacteristic
250#14273724C2311yescharacteristic
251#14273723C2311yescharacteristic
252#14273723C2311yescharacteristic
253#14273722—21no—
254#14273720—21no—
255#14273720—21no—
256#14273720—21no—
257#14273720—21no—
258#14273718—21no—
259#14273718C2311yescharacteristic
260#14273717—21no—
261#14273717—21no—
262#14273715—21no—
263#14273714—21no—
264#14273714C2311yescharacteristic
265#14273713—21no—
266#14273713—21no—
267#14273713—21no—
268#14273712—21no—
269#14273712—21no—
270#14273712—21no—
271#14273712—21no—
272#14273710—21no—
273#14273710—21no—
274#14273709—21no—
275#14273709—21no—
276#14273709—21no—
277#14273709—21no—
278#14273709—21no—
279#14273709—21no—
280#14273709—21no—
281#14273707—21no—
282#14273707C2311yescharacteristic
283#14273707C2311yescharacteristic
284#14273706—21no—
285#14273706—21no—
286#14273705—21no—
287#14273705—21no—
288#14273705—21no—
289#14273705—21no—
290#14273705—21no—
291#14273704—21no—
292#14273704—21no—
293#14273704—21no—
294#14273703C2311yescharacteristic
295#14273702C2311yescharacteristic
296#14273702C2311yescharacteristic
297#14273701—21no—
298#14273701—21no—
299#14273701—21no—
300#14273701C2311yescharacteristic
301#14273701C2311yescharacteristic
302#14273700—21no—
303#14273700—21no—
304#14273700—21no—
305#14273700—21no—
306#14273700—21no—
307#14273700—21no—
308#14273699—21no—
309#14273699—21no—
310#14273699—21no—
311#14273698—21no—
312#14273698C2311yescharacteristic
313#14273698C2311yescharacteristic
314#14273698C2311yescharacteristic
315#14273697—21no—
316#14273697—21no—
317#14273697—21no—
318#14273696—21no—
319#14273696—21no—
320#14273695—21no—
321#14273695—21no—
322#14273695—21no—
323Q8×Dic59C2311yescharacteristic
324C4×Dic118—21no—
325C4×Dic118D411yescharacteristic
326C4×Dic118C2311yescharacteristic
327C4×Dic118C2311yescharacteristic
328C4×Dic118C2311yescharacteristic
329C4×D236—21no—
330C4×D236—21no—
331C4×D236D411yescharacteristic
332C4×D236C2311yescharacteristic
333C4×D236C2311yescharacteristic
334C4×D236C2311yescharacteristic
335C4×D236C2311yescharacteristic
336C4×D236C2311yescharacteristic
337D4×Dic59C2311yescharacteristic
338D4×Dic59C2311yescharacteristic
339D4×Dic59C2311yescharacteristic
340#14273689—21no—
341#14273689C2311yescharacteristic
342#14273689C2311yescharacteristic
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⋊D59D411yescharacteristic
354C4×C22⋊D59D411yescharacteristic
355C4×C22⋊D59C2311yescharacteristic
356C4×C22⋊D59C2311yescharacteristic
357(C22⋊D59)⋊C4—21no—
358(C22⋊D59)⋊C4—21no—
359(C22⋊D59)⋊C4—21no—
360#14273686—21no—
361#14273686D411yescharacteristic
362#14273686C2311yescharacteristic
363#14273685—21no—
364#14273685—21no—
365#14273685—21no—
366#14273685C2311yescharacteristic
367#14273684—21no—
368#14273684—21no—
369#14273684D411yescharacteristic
370#14273684D411yescharacteristic
371#14273683—21no—
372#14273683—21no—
373C4⋊C4×D59—21no—
374C4⋊C4×D59—21no—
375C4⋊C4×D59C2311yescharacteristic
376C4⋊C4×D59C2311yescharacteristic
377C4⋊C4×D59C2311yescharacteristic
378C22⋊C4×D59—21no—
379C22⋊C4×D59—21no—
380C22⋊C4×D59—21no—
381C22⋊C4×D59—21no—
382C22⋊C4×D59—21no—
383C42×D59—21no—
384C42×D59—21no—
385C42×D59C2311yescharacteristic
386C42×D59C2311yescharacteristic
387#14273661C2311yescharacteristic
388#14273661C2311yescharacteristic
389#14273660C2311yescharacteristic
390#14273660C2311yescharacteristic
391#14273660C2311yescharacteristic
392#14273660C2311yescharacteristic
393#14273659C2311yescharacteristic
394#14273659C2311yescharacteristic
395#14273658C2311yescharacteristic
396#14273658C2311yescharacteristic
397#14273658C2311yescharacteristic
398#14273658C2311yescharacteristic
399Dic59⋊C8C2311yescharacteristic
400Dic59⋊C8C2311yescharacteristic
401Dic59⋊C8C2311yescharacteristic
402Dic59⋊C8C2311yescharacteristic
403#14273652C2311yescharacteristic
404#14273652C2311yescharacteristic
405#14273651C2311yescharacteristic
406#14273651C2311yescharacteristic
407#14273650C2311yescharacteristic
408#14273650C2311yescharacteristic
409#14273649C2311yescharacteristic
410#14273649C2311yescharacteristic
411#14273649C2311yescharacteristic
412#14273649C2311yescharacteristic
413#14273649C2311yescharacteristic
414#14273649C2311yescharacteristic
415#14273648C2311yescharacteristic
416#14273648C2311yescharacteristic
417#14273648C2311yescharacteristic
418#14273648C2311yescharacteristic
419#14273648C2311yescharacteristic
420#14273648C2311yescharacteristic
421#14273647C2311yescharacteristic
422#14273647C2311yescharacteristic
423#14273647C2311yescharacteristic
424#14273647C2311yescharacteristic
425#14273647C2311yescharacteristic
426#14273647C2311yescharacteristic
427(C2×D59)⋊C8C2311yescharacteristic
428(C2×D59)⋊C8C2311yescharacteristic
429(C2×D59)⋊C8C2311yescharacteristic
430(C2×D59)⋊C8C2311yescharacteristic
431#14273638C2311yescharacteristic
432#14273638C2311yescharacteristic
433#14273637C2311yescharacteristic
434#14273637C2311yescharacteristic
435C4×C59⋊C8C2311yescharacteristic
436C4×C59⋊C8C2311yescharacteristic
437C8×Dic59C2311yescharacteristic
438C8×Dic59C2311yescharacteristic
439C22×D4×C59C2311yescharacteristic
440C23×C4×C59—21no—
441C2×SD16×C59C2311yescharacteristic
442C2×SD16×C59C2311yescharacteristic
443C2×D8×C59C2311yescharacteristic
444C2×D8×C59C2311yescharacteristic
445#126×C59—21no—
446#125×C59C2311yescharacteristic
447#124×C59C2311yescharacteristic
448#123×C59—21no—
449C22⋊Q8×C59C2311yescharacteristic
450#121×C59C2311yescharacteristic
451C4×Q8×C59C2311yescharacteristic
452C4×D4×C59—21no—
453C4×D4×C59—21no—
454C4×D4×C59—21no—
455C4×D4×C59C2311yescharacteristic
456C4×D4×C59C2311yescharacteristic
457C4×D4×C59C2311yescharacteristic
458C4×D4×C59C2311yescharacteristic
459C4×D4×C59C2311yescharacteristic
460#117×C59—21no—
461C2×C4⋊C4×C59C2311yescharacteristic
462C2×C22⋊C4×C59—21no—
463C2×C42×C59C2311yescharacteristic
464#107×C59C2311yescharacteristic
465#107×C59C2311yescharacteristic
466#106×C59C2311yescharacteristic
467#106×C59C2311yescharacteristic
468C4⋊C8×C59C2311yescharacteristic
469C4⋊C8×C59C2311yescharacteristic
470#103×C59C2311yescharacteristic
471#103×C59C2311yescharacteristic
472#102×C59C2311yescharacteristic
473#102×C59C2311yescharacteristic
474#102×C59C2311yescharacteristic
475#102×C59C2311yescharacteristic
476#102×C59C2311yescharacteristic
477#102×C59C2311yescharacteristic
478C22⋊C8×C59C2311yescharacteristic
479C22⋊C8×C59C2311yescharacteristic
480C4×C8×C59C2311yescharacteristic
481C4×C8×C59C2311yescharacteristic
482C24×C59—21no—
483C23×D59—21no—
484C23×D59—21no—
485C23×D59—21no—
486C2×Q8×C59C2411yescharacteristic
487C2×D4×C59—22no—
488C2×D4×C59—21no—
489C2×D4×C59—21no—
490C2×D4×C59—41no—
491C2×D4×C59C2411yescharacteristic
492C2×D4×C59C2411yescharacteristic
493C2×D4×C59C2411yescharacteristic
494C22×C4×C59—21no—
495C22×C4×C59—21no—
496C22×C4×C59—21no—
497C22×C4×C59—21no—
498C22×C4×C59—21no—
499C22×C4×C59—21no—
500C22×C4×C59—44no—
501C22×C4×C59C2×D411yescharacteristic
502C22×C4×C59C2×D411yescharacteristic
503C22×C4×C59C2411yescharacteristic
504C2×C22⋊D59—21no—
505C2×C22⋊D59—21no—
506C2×C22⋊D59—21no—
507C2×C22⋊D59—21no—
508C2×C22⋊D59—21no—
509C2×C22⋊D59—21no—
510C2×C22⋊D59—21no—
511C2×C22⋊D59—21no—
512C2×C22⋊D59—21no—
513C2×C22⋊D59—21no—
514C2×C22⋊D59—21no—
515C2×C22⋊D59—21no—
516C2×C22⋊D59—21no—
517C2×C22⋊D59—44no—
518C2×C22⋊D59—44no—
519C2×C22⋊D59C2×D411yescharacteristic
520C2×C22⋊D59C2×D411yescharacteristic
521C22×Dic59—21no—
522C22×Dic59—21no—
523C22×Dic59—21no—
524#11745689—22no—
525#11745689—41no—
526D4×D59—22no—
527D4×D59—22no—
528D4×D59—22no—
529D4×D59—41no—
530D4×D59—41no—
531D4×D59—41no—
532#11745685—24no—
533#11745685—22no—
534#11745685—41no—
535#11745685—44no—
536#11745685—44no—
537#11745685—44no—
538#11745685—44no—
539#11745685—44no—
540#11745685—44no—
541#11745685—44no—
542C2×D236—21no—
543C2×D236—21no—
544C2×D236—21no—
545C2×D236—21no—
546C2×D236—21no—
547C2×D236—44no—
548C2×D236C2×D411yescharacteristic
549C2×D236C2411yescharacteristic
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—21no—
563C2×C4×D59—21no—
564C2×C4×D59—21no—
565C2×C4×D59—44no—
566C2×C4×D59—44no—
567C2×C4×D59—44no—
568C2×C4×D59C2×D411yescharacteristic
569C2×C4×D59C2×D411yescharacteristic
570C2×C4×D59C2×D411yescharacteristic
571C2×C4×D59C2×D411yescharacteristic
572C2×C4×D59C2411yescharacteristic
573C2×C4×D59C2411yescharacteristic
574C2×Dic118—21no—
575C2×Dic118—21no—
576C2×Dic118—21no—
577C2×Dic118—21no—
578C2×Dic118—44no—
579C2×Dic118C2×D411yescharacteristic
580C2×Dic118C2411yescharacteristic
581SD16×C59—22no—
582SD16×C59—41no—
583D8×C59—22no—
584D8×C59—41no—
585C2×C8×C59C2411yescharacteristic
586C2×C8×C59C2411yescharacteristic
587C2×C8×C59C2411yescharacteristic
588C2×C8×C59C2411yescharacteristic
589C4⋊C4×C59—21no—
590C4⋊C4×C59—21no—
591C4⋊C4×C59—21no—
592C4⋊C4×C59—21no—
593C4⋊C4×C59—21no—
594C4⋊C4×C59C2411yescharacteristic
595C4⋊C4×C59C2411yescharacteristic
596C4⋊C4×C59C2411yescharacteristic
597C4⋊C4×C59C2411yescharacteristic
598C22⋊C4×C59—21no—
599C22⋊C4×C59—21no—
600C22⋊C4×C59—21no—
601C22⋊C4×C59—21no—
602C22⋊C4×C59—21no—
603C22⋊C4×C59—21no—
604C22⋊C4×C59—21no—
605C22⋊C4×C59—21no—
606C22⋊C4×C59—21no—
607C42×C59—21no—
608C42×C59C2×D411yescharacteristic
609C42×C59C2×D411yescharacteristic
610C42×C59C2411yescharacteristic
611C42×C59C2411yescharacteristic
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#11745671—22no—
624#11745671—41no—
625#11745670—22no—
626#11745670—22no—
627#11745669—22no—
628#11745669—22no—
629#11745669—41no—
630#11745669#4114yescomplemented
631(C2×D59)⋊C4—21no—
632(C2×D59)⋊C4—21no—
633(C2×D59)⋊C4—21no—
634(C2×D59)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
648(C2×D59)⋊C4C2×D411yescharacteristic
649(C2×D59)⋊C4C2×D411yescharacteristic
650(C2×D59)⋊C4C2×D411yescharacteristic
651C4⋊Dic59—21no—
652C4⋊Dic59—21no—
653C4⋊Dic59—21no—
654C4⋊Dic59—21no—
655C4⋊Dic59—21no—
656C4⋊Dic59C2×D411yescharacteristic
657C4⋊Dic59C2×D411yescharacteristic
658C4⋊Dic59C2411yescharacteristic
659C4⋊Dic59C2411yescharacteristic
660C4⋊Dic59C2411yescharacteristic
661C4⋊Dic59C2411yescharacteristic
662Dic59⋊C4—21no—
663Dic59⋊C4—21no—
664Dic59⋊C4—21no—
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⋊C4C2×D411yescharacteristic
675Dic59⋊C4C2×D411yescharacteristic
676Dic59⋊C4C2×D411yescharacteristic
677Dic59⋊C4C2×D411yescharacteristic
678C4×Dic59—21no—
679C4×Dic59—21no—
680C4×Dic59—21no—
681C4×Dic59—21no—
682C4×Dic59—21no—
683C4×Dic59C2×D411yescharacteristic
684C4×Dic59C2×D411yescharacteristic
685C4×Dic59C2×D411yescharacteristic
686C4×Dic59C2×D411yescharacteristic
687C4×Dic59C2411yescharacteristic
688C4×Dic59C2411yescharacteristic
689#11745664—22no—
690#11745664—41no—
691C2×C59⋊C8C2411yescharacteristic
692C2×C59⋊C8C2411yescharacteristic
693C2×C59⋊C8C2411yescharacteristic
694C2×C59⋊C8C2411yescharacteristic
695D472—22no—
696D472—22no—
697#11745660—41no—
698#11745660—41no—
699#11745659—22no—
700#11745659—41no—
701C8×D59—22no—
702C8×D59—41no—
703C23×C59—21no—
704C23×C59—21no—
705C23×C59—21no—
706C23×C59—42no—
707C23×C59—42no—
708C23×C59—81no—
709C23×C59C22×D411yescharacteristic
710C22×D59—21no—
711C22×D59—21no—
712C22×D59—21no—
713C22×D59—42no—
714C22×D59—42no—
715C22×D59—42no—
716C22×D59—42no—
717C22×D59—42no—
718C22×D59—42no—
719C22×D59—81no—
720C22×D59—81no—
721C22×D59—81no—
722C22×D59C22×D411yescharacteristic
723C22×D59C22×D411yescharacteristic
724Q8×C59—21no—
725Q8×C59—21no—
726D4×C59—21no—
727D4×C59—21no—
728D4×C59—21no—
729D4×C59—21no—
730D4×C59—21no—
731D4×C59—42no—
732D4×C59—81no—
733D4×C59C2×#4112yes—
734C2×C4×C59—22no—
735C2×C4×C59—21no—
736C2×C4×C59—21no—
737C2×C4×C59—21no—
738C2×C4×C59—21no—
739C2×C4×C59—21no—
740C2×C4×C59—21no—
741C2×C4×C59—21no—
742C2×C4×C59—41no—
743C2×C4×C59—42no—
744C2×C4×C59—42no—
745C2×C4×C59—42no—
746C2×C4×C59—42no—
747C2×C4×C59—42no—
748C2×C4×C59—42no—
749C2×C4×C59C22×D411yescharacteristic
750C2×C4×C59C22×D411yescharacteristic
751C2×C4×C59C22×D411yescharacteristic
752C2×C4×C59C22×D411yescharacteristic
753C2×C4×C59C22×D411yescharacteristic
754C2×C4×C59C2511yescharacteristic
755C22⋊D59—22no—
756C22⋊D59—22no—
757C22⋊D59—42no—
758C22⋊D59—42no—
759C22⋊D59—42no—
760C22⋊D59—42no—
761C22⋊D59—42no—
762C22⋊D59—42no—
763C22⋊D59—42no—
764C22⋊D59—42no—
765C22⋊D59—42no—
766C22⋊D59—42no—
767C22⋊D59—81no—
768C22⋊D59—81no—
769C22⋊D59—81no—
770C2×Dic59—21no—
771C2×Dic59—21no—
772C2×Dic59—21no—
773C2×Dic59—21no—
774C2×Dic59—21no—
775C2×Dic59—42no—
776C2×Dic59—42no—
777C2×Dic59—42no—
778C2×Dic59C22×D411yescharacteristic
779C2×Dic59C22×D411yescharacteristic
780C2×Dic59C22×D411yescharacteristic
781C2×Dic59C22×D411yescharacteristic
782C2×Dic59C22×D411yescharacteristic
783C2×Dic59C22×D411yescharacteristic
784D236—22no—
785D236—21no—
786D236—21no—
787D236—21no—
788D236—21no—
789D236—21no—
790D236—42no—
791D236—42no—
792D236—42no—
793D236—42no—
794D236—81no—
795D236C2×#4112yescomplemented
796C4×D59—22no—
797C4×D59—21no—
798C4×D59—21no—
799C4×D59—21no—
800C4×D59—21no—
801C4×D59—41no—
802C4×D59—41no—
803C4×D59—42no—
804C4×D59—42no—
805C4×D59—42no—
806C4×D59—42no—
807C4×D59—42no—
808C4×D59—42no—
809C4×D59—42no—
810C4×D59—42no—
811C4×D59—42no—
812C4×D59—42no—
813C4×D59—42no—
814C4×D59—81no—
815C4×D59—81no—
816C4×D59AGL(1,ℤ/8)14yescomplemented
817Dic118—22no—
818Dic118—21no—
819Dic118—21no—
820Dic118—42no—
821Dic118—42no—
822Dic118—42no—
823Dic118—81no—
824C8×C59—21no—
825C8×C59—21no—
826C8×C59—21no—
827C8×C59—21no—
828C59⋊C8—21no—
829C59⋊C8—21no—
830C59⋊C8—21no—
831C59⋊C8C2×#4112yescomplemented
832#61437—591nomaximal, Sylow
833C22×C59—21no—
834C22×C59—21no—
835C22×C59—22no—
836C22×C59—21no—
837C22×C59—41no—
838C22×C59—41no—
839C22×C59—41no—
840C22×C59—41no—
841C22×C59—41no—
842C22×C59—41no—
843C22×C59—41no—
844C22×C59—41no—
845C22×C59—84no—
846C22×C59C23×D411yescharacteristic
847C2×D59—21no—
848C2×D59—21no—
849C2×D59—21no—
850C2×D59—21no—
851C2×D59—22no—
852C2×D59—21no—
853C2×D59—41no—
854C2×D59—41no—
855C2×D59—41no—
856C2×D59—41no—
857C2×D59—41no—
858C2×D59—41no—
859C2×D59—41no—
860C2×D59—41no—
861C2×D59—84no—
862C2×D59—84no—
863C2×D59—84no—
864C2×D59C2×AGL(1,ℤ/8)12yes—
865C4×C59—21no—
866C4×C59—21no—
867C4×C59—21no—
868C4×C59—21no—
869C4×C59—41no—
870C4×C59—41no—
871C4×C59—41no—
872C4×C59—41no—
873C4×C59—41no—
874C4×C59C2×AGL(1,ℤ/8)12yes—
875C4×C59C22×#4111yescharacteristic
876C4×C59#58511yescharacteristic
877Dic59—21no—
878Dic59—21no—
879Dic59—21no—
880Dic59—21no—
881Dic59—21no—
882Dic59—41no—
883Dic59—41no—
884Dic59—41no—
885Dic59—41no—
886Dic59—41no—
887Dic59C2×AGL(1,ℤ/8)12yes—
888#3475—591no—
889D4×#41—591no—
890#3397—591no—
891#3384—591no—
892#3367—591no—
893#3366—591no—
894#3354—591no—
895#3343—591no—
896#3343—591no—
897#3330—591no—
898#3325—591no—
899#3310—591no—
900#3310—591no—
901#3306—591no—
902#3306—591no—
903#3272—591no—
904#3264—591no—
905#3264—591no—
906#3171—591no—
907#3171—591no—
908#3167—591no—
909#3106—591no—
910#3106—591no—
911#3105—591no—
912#3105D5911yescharacteristic, complemented
913#3101—591no—
914#3100—591no—
915#2965—591no—
916C4×AGL(1,ℤ/8)—591no—
917C4×AGL(1,ℤ/8)—591no—
918C2×C4×D8—591no—
919C2×C59—42no—
920C2×C59—41no—
921C2×C59—81no—
922C2×C59—81no—
923C2×C59D4×#4111yescharacteristic
924C2×C59C22×AGL(1,ℤ/8)11yescharacteristic
925C2×C59#358411yescharacteristic
926D59—22no—
927D59—41no—
928D59—42no—
929D59—81no—
930D59—81no—
931C22×#41—1181no—
932C2×AGL(1,ℤ/8)—591no—
933C2×AGL(1,ℤ/8)—591no—
934C22×D8—591no—
935#556—591no—
936#555—591no—
937#554—591no—
938#553—1181no—
939#552—591no—
940#552—591no—
941#552—1181no—
942#551—1181no—
943#551—1181no—
944#550—591no—
945D4×Q8—591no—
946#548—1181no—
947#547—591no—
948#547—591no—
949#547—591no—
950#547—591no—
951#546—591no—
952#546—591no—
953#546—1181no—
954#546—1181no—
955#546—1181no—
956D42—591no—
957D42—591no—
958D42—591no—
959#533—591no—
960#532—591no—
961#532—591no—
962#532—591no—
963#529—591no—
964#529—1181no—
965#529—1181no—
966#529C2×D5911yescharacteristic, complemented
967#525—1181no—
968#525—1181no—
969#525—1181no—
970#525—1181no—
971C4×#41—591no—
972C4×#41—591no—
973C4×#41—591no—
974C2×C4×D4—591no—
975C2×C4×D4—591no—
976C2×C4×D4—591no—
977C2×C4×D4C2×D5911yescharacteristic, complemented
978C2×#117—1181no—
979#501—591no—
980#501—591no—
981#498—591no—
982#496—591no—
983#496—591no—
984#492—591no—
985#490—591no—
986#490—591no—
987#489—591no—
988#489—591no—
989#487—591no—
990#486—591no—
991#484—591no—
992#484C2×D5911yescharacteristic, complemented
993#483—591no—
994#483—591no—
995#482—591no—
996#482—591no—
997#482—591no—
998#482—591no—
999#481—591no—
1000#481C2×D5911yescharacteristic, complemented
1001#480—591no—
1002#480—591no—
1003#478—591no—
1004#478—591no—
1005#478C2×D5911yescharacteristic, complemented
1006#478C2×D5911yescharacteristic, complemented
1007#477—591no—
1008#477—591no—
1009#476—591no—
1010#476—591no—
1011#476—591no—
1012#476—591no—
1013#474—591no—
1014#474—591no—
1015#469—591no—
1016#469—591no—
1017#469—591no—
1018#469—591no—
1019#468—591no—
1020#468—591no—
1021#468—591no—
1022#468—591no—
1023#465—591no—
1024#465—591no—
1025#465—591no—
1026#465—591no—
1027#463—591no—
1028#463—591no—
1029#463C2×D5911yescharacteristic
1030#463C2×D5911yescharacteristic, complemented
1031#461—591no—
1032#461—591no—
1033#460—591no—
1034#460—591no—
1035#459—591no—
1036#459—591no—
1037#459—591no—
1038#459—591no—
1039#450—591no—
1040#450—591no—
1041#450—591no—
1042#450C2×D5911yescharacteristic, complemented
1043#449—591no—
1044#449—591no—
1045#449—591no—
1046#449—591no—
1047#447—591no—
1048#447—591no—
1049#447—591no—
1050#447C2×D5911yescharacteristic
1051#446—591no—
1052#446—591no—
1053#442—591no—
1054#442—591no—
1055#442—591no—
1056#442—591no—
1057#440—591no—
1058#440—591no—
1059#440—591no—
1060#440—591no—
1061C4×SD16—591no—
1062C4×SD16—591no—
1063C4×SD16—591no—
1064C4×SD16—591no—
1065C4×SD16—591no—
1066C4×SD16—591no—
1067C4×SD16C2×D5911yescharacteristic, complemented
1068C4×SD16C2×D5911yescharacteristic, complemented
1069C4×D8—591no—
1070C4×D8—591no—
1071C4×D8—591no—
1072C4×D8—591no—
1073C4×D8—591no—
1074C4×D8—591no—
1075C4×D8—591no—
1076C4×D8—591no—
1077C4×D8—591no—
1078C4×D8—591no—
1079C4×D8C2×D5911yescharacteristic
1080C4×D8C2×D5911yescharacteristic, complemented
1081#436—591no—
1082#436—591no—
1083#435—591no—
1084#435—591no—
1085#435—591no—
1086#435—591no—
1087#431—591no—
1088#431—591no—
1089#431C2×D5911yescharacteristic, complemented
1090#428—591no—
1091#428—591no—
1092C2×#107—591no—
1093#418—591no—
1094#418—591no—
1095#417—591no—
1096#417—591no—
1097C2×#102—591no—
1098C2×#102—591no—
1099C4×M16—591no—
1100C4×M16—591no—
1101C2×C4×C8—591no—
1102C59#6143711yescharacteristic, complemented, Sylow
1103C2×#41—591no—
1104C2×#41—591no—
1105C2×#41—591no—
1106C2×#41—1181no—
1107C2×#41—1181no—
1108C2×#41—1181no—
1109C2×#41—1181no—
1110C2×#41—1181no—
1111C2×#41—1181no—
1112C2×#41—1181no—
1113C2×#41—2368no—
1114C22×Q8—1181no—
1115C22×D4—591no—
1116C22×D4—591no—
1117C22×D4—591no—
1118C22×D4—1181no—
1119C22×D4—1181no—
1120C22×D4—1181no—
1121C22×D4C22×D5911yescharacteristic
1122C23×C4—21no—
1123C23×C4—1181no—
1124C23×C4—1181no—
1125C23×C4—1181no—
1126AGL(1,ℤ/8)—1184no—
1127AGL(1,ℤ/8)—1184no—
1128C2×SD16—591no—
1129C2×SD16—591no—
1130C2×SD16—591no—
1131C2×SD16—591no—
1132C2×SD16—591no—
1133C2×SD16—591no—
1134C2×SD16C22×D5911yescharacteristic
1135C2×SD16C22×D5911yescharacteristic
1136C2×D8—591no—
1137C2×D8—591no—
1138C2×D8—591no—
1139C2×D8—591no—
1140C2×D8—591no—
1141C2×D8—591no—
1142C2×D8—1184no—
1143C2×D8C22×D5911yescharacteristic
1144C2×D8C22×D5911yescharacteristic
1145C2×M16—591no—
1146C2×M16—591no—
1147C2×M16—591no—
1148C2×M16—591no—
1149C22×C8—591no—
1150C22×C8—591no—
1151C4⋊Q8—591no—
1152C4⋊Q8—591no—
1153C4⋊Q8—591no—
1154C4⋊Q8—591no—
1155C4⋊Q8—591no—
1156#127—591no—
1157#127—591no—
1158#127—591no—
1159#126—21no—
1160#126—1181no—
1161#126—1181no—
1162#126—1181no—
1163#126—1181no—
1164#126—1181no—
1165#125—591no—
1166#125—1181no—
1167#125—1181no—
1168#125—1181no—
1169#125C22×D5911yescharacteristic
1170#124—591no—
1171#124—1181no—
1172#124—1181no—
1173#124—1181no—
1174#124—1181no—
1175#124—1181no—
1176#124C22×D5911yescharacteristic
1177#123—21no—
1178#123—1181no—
1179#123—1181no—
1180#123—1181no—
1181#123—1181no—
1182#123—1181no—
1183#123—1181no—
1184#123—1181no—
1185#123—1181no—
1186#123—1181no—
1187#123—1181no—
1188#123—1181no—
1189#123—1181no—
1190#123—1181no—
1191C22⋊Q8—591no—
1192C22⋊Q8—591no—
1193C22⋊Q8—591no—
1194C22⋊Q8—1181no—
1195C22⋊Q8—1181no—
1196C22⋊Q8—1181no—
1197C22⋊Q8—1181no—
1198C22⋊Q8—1181no—
1199C22⋊Q8—1181no—
1200C22⋊Q8—1181no—
1201C22⋊Q8—1181no—
1202C22⋊Q8—1181no—
1203C22⋊Q8—1181no—
1204C22⋊Q8—1181no—
1205C22⋊Q8C22×D5911yescharacteristic
1206#121—591no—
1207#121—591no—
1208#121—591no—
1209#121—591no—
1210#121—591no—
1211#121—591no—
1212#121—591no—
1213#121—1181no—
1214#121—1181no—
1215#121—1181no—
1216#121—1181no—
1217#121—1181no—
1218#121—1181no—
1219#121—1181no—
1220#121—1181no—
1221#121—1181no—
1222#121—1181no—
1223#121—1181no—
1224#121—1181no—
1225#121—1181no—
1226#121C22×D5911yescharacteristic
1227#120—1181no—
1228#120—1181no—
1229#120—1181no—
1230#120—1181no—
1231#120—1181no—
1232#120—1181no—
1233#120—1181no—
1234#120—1181no—
1235C4×Q8—591no—
1236C4×Q8—591no—
1237C4×Q8—591no—
1238C4×Q8—591no—
1239C4×Q8—591no—
1240C4×Q8—1181no—
1241C4×Q8C22×D5911yescharacteristic
1242C4×D4—21no—
1243C4×D4—21no—
1244C4×D4—21no—
1245C4×D4—591no—
1246C4×D4—591no—
1247C4×D4—591no—
1248C4×D4—591no—
1249C4×D4—591no—
1250C4×D4—591no—
1251C4×D4—591no—
1252C4×D4—591no—
1253C4×D4—591no—
1254C4×D4—591no—
1255C4×D4—591no—
1256C4×D4—591no—
1257C4×D4—591no—
1258C4×D4—591no—
1259C4×D4—591no—
1260C4×D4—591no—
1261C4×D4—591no—
1262C4×D4—1181no—
1263C4×D4—1181no—
1264C4×D4—1181no—
1265C4×D4—1181no—
1266C4×D4—1181no—
1267C4×D4—1181no—
1268C4×D4—1181no—
1269C4×D4—1181no—
1270C4×D4—1181no—
1271C4×D4—1181no—
1272C4×D4—1181no—
1273C4×D4—1181no—
1274C4×D4—1181no—
1275C4×D4—1181no—
1276C4×D4C22×D5911yescharacteristic
1277C4×D4C22×D5911yescharacteristic
1278C4×D4C22×D5911yescharacteristic
1279C4×D4C22×D5911yescharacteristic
1280C4×D4C22×D5911yescharacteristic
1281#117—21no—
1282#117—591no—
1283#117—591no—
1284#117—591no—
1285#117—591no—
1286#117—591no—
1287#117—1181no—
1288#117—1181no—
1289#117—1181no—
1290#117—1181no—
1291#117—1181no—
1292#117—1181no—
1293#117—1181no—
1294#117—1181no—
1295C2×C4⋊C4—591no—
1296C2×C4⋊C4—591no—
1297C2×C4⋊C4—591no—
1298C2×C4⋊C4—1181no—
1299C2×C4⋊C4—1181no—
1300C2×C4⋊C4C22×D5911yescharacteristic
1301C2×C22⋊C4—21no—
1302C2×C22⋊C4—1181no—
1303C2×C22⋊C4—1181no—
1304C2×C22⋊C4—1181no—
1305C2×C22⋊C4—1181no—
1306C2×C22⋊C4—1181no—
1307C2×C42—591no—
1308C2×C42—591no—
1309C2×C42—1181no—
1310C2×C42—1181no—
1311C2×C42C22×D5911yescharacteristic
1312#107—591no—
1313#107—591no—
1314#107—591no—
1315#107—591no—
1316#107—591no—
1317#107—591no—
1318#107C22×D5911yescharacteristic
1319#107C22×D5911yescharacteristic
1320#106—591no—
1321#106—591no—
1322#106—591no—
1323#106—591no—
1324#106—591no—
1325#106—591no—
1326#106C22×D5911yescharacteristic
1327#106C22×D5911yescharacteristic
1328C4⋊C8—591no—
1329C4⋊C8—591no—
1330C4⋊C8—591no—
1331C4⋊C8—591no—
1332C4⋊C8C22×D5911yescharacteristic
1333C4⋊C8C22×D5911yescharacteristic
1334#103—591no—
1335#103—591no—
1336#103—591no—
1337#103—591no—
1338#103—591no—
1339#103—591no—
1340#103C22×D5911yescharacteristic
1341#103C22×D5911yescharacteristic
1342#102—591no—
1343#102—591no—
1344#102—591no—
1345#102—591no—
1346#102—591no—
1347#102—591no—
1348#102—591no—
1349#102—591no—
1350#102—591no—
1351#102—591no—
1352#102—591no—
1353#102—591no—
1354#102—591no—
1355#102—591no—
1356#102—591no—
1357#102—591no—
1358#102—591no—
1359#102—591no—
1360#102C22×D5911yescharacteristic
1361#102C22×D5911yescharacteristic
1362#102C22×D5911yescharacteristic
1363#102C22×D5911yescharacteristic
1364#102C22×D5911yescharacteristic
1365#102C22×D5911yescharacteristic
1366C22⋊C8—591no—
1367C22⋊C8—591no—
1368C22⋊C8—591no—
1369C22⋊C8—591no—
1370C22⋊C8C22×D5911yescharacteristic
1371C22⋊C8C22×D5911yescharacteristic
1372#97—591no—
1373#97—591no—
1374#97—591no—
1375#97—591no—
1376C4×C8—591no—
1377C4×C8—591no—
1378C4×C8—591no—
1379C4×C8—591no—
1380C4×C8C22×D5911yescharacteristic
1381C4×C8C22×D5911yescharacteristic
1382C24—21no—
1383C24—1181no—
1384C24—1181no—
1385C24—1181no—
1386#41—1184no—
1387#41—1182no—
1388#41—1182no—
1389#41—2361no—
1390#41—2364no—
1391#41—2364no—
1392#41—2364no—
1393#41—2364no—
1394#41—2364no—
1395#41—2364no—
1396#41—2364no—
1397#41—2361no—
1398C2×Q8—591no—
1399C2×Q8—591no—
1400C2×Q8—1181no—
1401C2×Q8—1181no—
1402C2×Q8—1181no—
1403C2×Q8—1181no—
1404C2×Q8—2364no—
1405C2×Q8C23×D5911yescharacteristic
1406C2×D4—22no—
1407C2×D4—21no—
1408C2×D4—21no—
1409C2×D4—41no—
1410C2×D4—591no—
1411C2×D4—591no—
1412C2×D4—591no—
1413C2×D4—591no—
1414C2×D4—591no—
1415C2×D4—591no—
1416C2×D4—1181no—
1417C2×D4—1181no—
1418C2×D4—1181no—
1419C2×D4—1181no—
1420C2×D4—1181no—
1421C2×D4—1181no—
1422C2×D4—1181no—
1423C2×D4—1181no—
1424C2×D4—1181no—
1425C2×D4—1181no—
1426C2×D4—1182no—
1427C2×D4—1182no—
1428C2×D4—1182no—
1429C2×D4—1181no—
1430C2×D4—1181no—
1431C2×D4—1181no—
1432C2×D4—1181no—
1433C2×D4—1181no—
1434C2×D4—1181no—
1435C2×D4—1181no—
1436C2×D4—1181no—
1437C2×D4—2364no—
1438C2×D4—2361no—
1439C2×D4—2361no—
1440C2×D4—2361no—
1441C2×D4—2364no—
1442C2×D4—2364no—
1443C2×D4C23×D5911yescharacteristic
1444C2×D4C23×D5911yescharacteristic
1445C2×D4C23×D5911yescharacteristic
1446C22×C4—21no—
1447C22×C4—21no—
1448C22×C4—21no—
1449C22×C4—21no—
1450C22×C4—21no—
1451C22×C4—21no—
1452C22×C4—44no—
1453C22×C4—591no—
1454C22×C4—591no—
1455C22×C4—591no—
1456C22×C4—591no—
1457C22×C4—591no—
1458C22×C4—591no—
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—1181no—
1473C22×C4—1181no—
1474C22×C4—1181no—
1475C22×C4—2364no—
1476C22×C4—2364no—
1477C22×C4—2364no—
1478C22×C4D4×D5911yescharacteristic
1479C22×C4D4×D5911yescharacteristic
1480C22×C4C23×D5911yescharacteristic
1481SD16—22no—
1482SD16—41no—
1483SD16—1182no—
1484SD16—1182no—
1485SD16—1182no—
1486SD16—2361no—
1487SD16—2361no—
1488SD16—2361no—
1489D8—22no—
1490D8—41no—
1491D8—594no—
1492D8—1182no—
1493D8—1182no—
1494D8—1182no—
1495D8—1182no—
1496D8—2361no—
1497M16—1182no—
1498M16—1182no—
1499M16—2361no—
1500M16—2361no—
1501C2×C8—591no—
1502C2×C8—591no—
1503C2×C8—591no—
1504C2×C8—591no—
1505C2×C8—1182no—
1506C2×C8—2361no—
1507C2×C8C23×D5911yescharacteristic
1508C2×C8C23×D5911yescharacteristic
1509C2×C8C23×D5911yescharacteristic
1510C2×C8C23×D5911yescharacteristic
1511C4⋊C4—21no—
1512C4⋊C4—21no—
1513C4⋊C4—21no—
1514C4⋊C4—21no—
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⋊C4C23×D5911yescharacteristic
1544C4⋊C4C23×D5911yescharacteristic
1545C4⋊C4C23×D5911yescharacteristic
1546C4⋊C4C23×D5911yescharacteristic
1547C22⋊C4—21no—
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—591no—
1557C22⋊C4—591no—
1558C22⋊C4—591no—
1559C22⋊C4—591no—
1560C22⋊C4—591no—
1561C22⋊C4—591no—
1562C22⋊C4—1181no—
1563C22⋊C4—1181no—
1564C22⋊C4—1181no—
1565C22⋊C4—1181no—
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—
1587C42—21no—
1588C42—591no—
1589C42—591no—
1590C42—591no—
1591C42—591no—
1592C42—591no—
1593C42—591no—
1594C42—1181no—
1595C42—1181no—
1596C42—1181no—
1597C42—1181no—
1598C42—1181no—
1599C42D4×D5911yescharacteristic
1600C42D4×D5911yescharacteristic
1601C42C23×D5911yescharacteristic
1602C42C23×D5911yescharacteristic
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—42no—
1607C23—42no—
1608C23—81no—
1609C23—591no—
1610C23—591no—
1611C23—1181no—
1612C23—1181no—
1613C23—1181no—
1614C23—4721no—
1615C23—4721no—
1616C23—4721no—
1617C23—2362no—
1618C23—2362no—
1619C23—2362no—
1620C23—2362no—
1621C23—2362no—
1622C23—2362no—
1623C23C2×D4×D5911yescharacteristic
1624Q8—21no—
1625Q8—21no—
1626Q8—1182no—
1627Q8—1181no—
1628Q8—1181no—
1629Q8—4721no—
1630Q8—2362no—
1631Q8—2362no—
1632Q8—2362no—
1633D4—21no—
1634D4—21no—
1635D4—21no—
1636D4—21no—
1637D4—21no—
1638D4—42no—
1639D4—81no—
1640D4—592no—
1641D4—1182no—
1642D4—1182no—
1643D4—1182no—
1644D4—1181no—
1645D4—1181no—
1646D4—1181no—
1647D4—1181no—
1648D4—1181no—
1649D4—4721no—
1650D4—4721no—
1651D4—4721no—
1652D4—4721no—
1653D4—2362no—
1654D4—2362no—
1655D4—2362no—
1656D4—2362no—
1657D4—2362no—
1658D4—2362no—
1659D4—2362no—
1660D4—2362no—
1661D4—2362no—
1662D4—2362no—
1663D4—2362no—
1664D4—2362no—
1665D4—2362no—
1666D4—2362no—
1667D4#41×D5912yes—
1668C2×C4—22no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—41no—
1677C2×C4—42no—
1678C2×C4—42no—
1679C2×C4—42no—
1680C2×C4—42no—
1681C2×C4—42no—
1682C2×C4—42no—
1683C2×C4—591no—
1684C2×C4—594no—
1685C2×C4—591no—
1686C2×C4—591no—
1687C2×C4—591no—
1688C2×C4—591no—
1689C2×C4—591no—
1690C2×C4—1182no—
1691C2×C4—1181no—
1692C2×C4—1181no—
1693C2×C4—1181no—
1694C2×C4—1181no—
1695C2×C4—1181no—
1696C2×C4—1181no—
1697C2×C4—1181no—
1698C2×C4—1181no—
1699C2×C4—1181no—
1700C2×C4—4721no—
1701C2×C4—4721no—
1702C2×C4—2361no—
1703C2×C4—2361no—
1704C2×C4—2362no—
1705C2×C4—2362no—
1706C2×C4—2362no—
1707C2×C4—2362no—
1708C2×C4—2362no—
1709C2×C4—2362no—
1710C2×C4—2362no—
1711C2×C4—2362no—
1712C2×C4—2362no—
1713C2×C4—2362no—
1714C2×C4—2362no—
1715C2×C4—2362no—
1716C2×C4—2362no—
1717C2×C4—2362no—
1718C2×C4C2×D4×D5911yescharacteristic
1719C2×C4C2×D4×D5911yescharacteristic
1720C2×C4C2×D4×D5911yescharacteristic
1721C2×C4C2×D4×D5911yescharacteristic
1722C2×C4C2×D4×D5911yescharacteristic
1723C2×C4C24×D5911yescharacteristic
1724C8—21no—
1725C8—21no—
1726C8—21no—
1727C8—21no—
1728C8—592no—
1729C8—1181no—
1730C8—1181no—
1731C8—1181no—
1732C22—21no—
1733C22—21no—
1734C22—22no—
1735C22—21no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—84no—
1745C22—592no—
1746C22—1181no—
1747C22—1181no—
1748C22—1181no—
1749C22—1181no—
1750C22—1182no—
1751C22—1181no—
1752C22—4724no—
1753C22—4724no—
1754C22—4724no—
1755C22—2361no—
1756C22—2361no—
1757C22—2361no—
1758C22—2361no—
1759C22—2361no—
1760C22—2361no—
1761C22—2361no—
1762C22—2361no—
1763C22C22×D4×D5911yescharacteristic
1764C4—21no—
1765C4—21no—
1766C4—21no—
1767C4—21no—
1768C4—41no—
1769C4—41no—
1770C4—41no—
1771C4—41no—
1772C4—41no—
1773C4—592no—
1774C4—1181no—
1775C4—1181no—
1776C4—1181no—
1777C4—1181no—
1778C4—1181no—
1779C4—2361no—
1780C4—2361no—
1781C4—2361no—
1782C4—2361no—
1783C4—2361no—
1784C4AGL(1,ℤ/8)×D5912yes—
1785C4C2×#41×D5911yescharacteristic
1786C4#1683823811yescharacteristic
1787C2—41no—
1788C2—42no—
1789C2—81no—
1790C2—81no—
1791C2—1182no—
1792C2—4721no—
1793C2—4721no—
1794C2—2361no—
1795C2—2362no—
1796C2#2143757911yescharacteristic
1797C2C2×AGL(1,ℤ/8)×D5911yescharacteristic
1798C2#2143886511yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3105C2
socleC22×C59C23×D4
hypercenter#3105D59
hypocenterC59#61437
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ #3105

Complements

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

NH ≅ G/Ntype
1. #21437652C2semidirect
2. D4×#11745685C2semidirect
3. #21437119C2semidirect
4. #21436998C2semidirect
5. #21436809C2semidirect
6. #21436806C2semidirect
7. #21436684C2semidirect
8. #21436543C2semidirect
9. #21436539C2semidirect
10. #21436399C2semidirect
11. #21436331C2semidirect
12. #21436114C2semidirect
13. #21436110C2semidirect
14. #21436064C2semidirect
15. #21436060C2semidirect
16. #21435694C2semidirect
17. #21435582C2semidirect
18. #21435574C2semidirect
19. #21434692C2semidirect
20. #21434689C2semidirect
21. #21434652C2semidirect
22. #21434157C2semidirect
23. #21434154C2semidirect
24. #21434141C2semidirect
25. #21434102C2semidirect
26. #21434094C2semidirect
27. #21433060C2semidirect
28. C4×#14273754C2semidirect
29. C4×#14273753C2semidirect
30. C4×D8×D59C2semidirect
31. C59×#3105C2semidirect
36. #16838121C22semidirect
37. #16838116C22semidirect
38. #16838108C22semidirect
40. #16838090C22semidirect
42. #16838086C22semidirect
45. #16838073C22semidirect
46. D4×Dic118C22semidirect
49. #16838054C22semidirect
51. #16838053C22semidirect
52. #16838049C22semidirect
54. #16838045C22semidirect
59. D4×C22⋊D59C22semidirect
60. #16837956C22semidirect
61. #16837952C22semidirect
63. #16837949C22semidirect
65. #16837934C22semidirect
71. C4×#11745689C22semidirect
73. C4×#11745685C22semidirect
75. C4×D4×D59C22semidirect
76. C4×D4×D59C22semidirect
78. #16837812C22semidirect
79. #16837810C22semidirect
80. #16837799C22semidirect
81. #16837792C22semidirect
82. #16837790C22semidirect
83. #16837773C22semidirect
84. #16837768C22semidirect
85. #16837765C22semidirect
86. #16837761C22semidirect
87. #16837760C22semidirect
88. #16837751C22semidirect
89. #16837747C22semidirect
90. #16837739C22semidirect
91. #16837734C22semidirect
92. #16837731C22semidirect
93. #16837728C22semidirect
94. #16837727C22semidirect
95. #16837727C22semidirect
96. #16837724C22semidirect
97. #16837719C22semidirect
98. #16837717C22semidirect
99. #16837714C22semidirect
100. #16837705C22semidirect
101. #16837704C22semidirect
102. #16837698C22semidirect
103. #16837695C22semidirect
104. #16837693C22semidirect
105. #16837691C22semidirect
106. #16837691C22semidirect
107. #16837690C22semidirect
108. #16837681C22semidirect
109. #16837680C22semidirect
110. #16837654C22semidirect
111. #16837653C22semidirect
112. #16837653C22semidirect
113. #16837652C22semidirect
114. #16837650C22semidirect
115. #16837650C22semidirect
116. #16837649C22semidirect
117. #16837647C22semidirect
118. #16837634C22semidirect
119. #16837632C22semidirect
120. #16837630C22semidirect
121. #16837628C22semidirect
122. #16837616C22semidirect
124. #16837606C22semidirect
125. #16837605C22semidirect
126. #16837603C22semidirect
127. #16837600C22semidirect
128. #16837598C22semidirect
129. #16837596C22semidirect
130. #16837596C22semidirect
131. #16837595C22semidirect
133. #16837554C22semidirect
135. #16837550C22semidirect
136. #16837549C22semidirect
137. #16837549C22semidirect
138. #16837546C22semidirect
139. #16837537C22semidirect
141. #16837534C22semidirect
142. #16837531C22semidirect
143. #16837531C22semidirect
144. #16837513C22semidirect
146. #16837512C22semidirect
148. #16837505C22semidirect
149. #16837503C22semidirect
150. #16837502C22semidirect
151. #16837502C22semidirect
152. C4×#11745660C22semidirect
153. C4×#11745660C22semidirect
154. C4×#11745671C22semidirect
155. C4×#11745671C22semidirect
156. C4×#11745670C22semidirect
157. C4×#11745670C22semidirect
158. C4×D472C22semidirect
159. C4×D472C22semidirect
161. #16837484C22semidirect
163. C4×#11745669C22semidirect
164. C4×#11745669C22semidirect
165. C4×#11745669C22semidirect
167. #16837482C22semidirect
168. #16837477C22semidirect
169. #16837477C22semidirect
170. #16837476C22semidirect
171. #16837476C22semidirect
172. #16837472C22semidirect
173. #16837472C22semidirect
174. #16837453C22semidirect
175. #16837453C22semidirect
176. #16837442C22semidirect
177. #16837441C22semidirect
178. #107×D59C22semidirect
179. #16837407C22semidirect
180. #16837405C22semidirect
181. #16837402C22semidirect
182. #16837401C22semidirect
184. #102×D59C22semidirect
185. C4×#11745664C22semidirect
186. C4×#11745659C22semidirect
187. C4×C8×D59C22semidirect
188. C59×#529C22semidirect
189. C2×C4×D4×C59C22semidirect
190. C59×#484C22semidirect
191. C59×#481C22semidirect
192. C59×#478C22semidirect
193. C59×#478C22semidirect
195. C59×#463C22semidirect
196. C59×#450C22semidirect
198. C4×SD16×C59C22semidirect
199. C4×SD16×C59C22semidirect
201. C4×D8×C59C22semidirect
202. C59×#431C22semidirect
630. #11745669#41semidirect
795. D236C2×#41semidirect
816. C4×D59AGL(1,ℤ/8)semidirect
831. C59⋊C8C2×#41semidirect
912. #3105D59semidirect
966. #529C2×D59semidirect
977. C2×C4×D4C2×D59semidirect
992. #484C2×D59semidirect
1000. #481C2×D59semidirect
1005. #478C2×D59semidirect
1006. #478C2×D59semidirect
1030. #463C2×D59semidirect
1042. #450C2×D59semidirect
1067. C4×SD16C2×D59semidirect
1068. C4×SD16C2×D59semidirect
1080. C4×D8C2×D59semidirect
1089. #431C2×D59semidirect
1102. C59#61437semidirect

Maximal subgroups

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

subgroupindex
#214376522
D4×#117456852
#214371192
#214369982
#214368092
#214368062
#214366842
#214365432
#214365392
#214363992
#214363312
#214361142
#214361102
#214360642
#214360602
#214356942
#214355822
#214355742
#214346922
#214346892
#214346522
#214341572
#214341542
#214341412
#214341022
#214340942
#214330602
C4×#142737542
C4×#142737532
C4×D8×D592
C59×#31052
#6143759