Finite Group Databasebeta

← #29470608

Subgroups — #29470608

Order 15104.

2178 conjugacy classes of subgroups.

The subgroup lattice has 1832 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437700C211yesmaximal, characteristic, complemented
2#21437582C211yesmaximal, characteristic, complemented
3#21437141C211yesmaximal, characteristic, complemented
4#21436990C211yesmaximal, characteristic, complemented
5#21436891C211yesmaximal, characteristic, complemented
6#21436798C211yesmaximal, characteristic, complemented
7#21436573C211yesmaximal, characteristic, complemented
8#21436564C211yesmaximal, characteristic, complemented
9#21436451C211yesmaximal, characteristic, complemented
10#21436244C211yesmaximal, characteristic, complemented
11#21436235C211yesmaximal, characteristic, complemented
12#21436061C211yesmaximal, characteristic, complemented
13#21436054C211yesmaximal, characteristic, complemented
14#21435918C211yesmaximal, characteristic, complemented
15#21435902C211yesmaximal, characteristic, complemented
16#21435766C211yesmaximal, characteristic, complemented
17#21435571C211yesmaximal, characteristic, complemented
18#21435569C211yesmaximal, characteristic, complemented
19#21434831C211yesmaximal, characteristic, complemented
20#21434792C211yesmaximal, characteristic, complemented
21#21434788C211yesmaximal, characteristic, complemented
22#21434243C211yesmaximal, characteristic, complemented
23#21434236C211yesmaximal, characteristic, complemented
24#21434232C211yesmaximal, characteristic, complemented
25#21434185C211yesmaximal, characteristic, complemented
26#21434185C211yesmaximal, characteristic, complemented
27#21433105C211yesmaximal, characteristic, complemented
28#21432907C211yesmaximal, characteristic, complemented
29C2×#16837512C211yesmaximal, characteristic, complemented
30#442×D59C211yesmaximal, characteristic, complemented
31C59×#3109C211yesmaximal, characteristic, complemented
32C2×#41×D59—21no—
33C2×#14273751C2211yescharacteristic
34C22×#11745669C2211yescharacteristic
35C2×D8×D59C2211yescharacteristic
36#16838135C2211yescharacteristic, complemented
37#16838111C2211yescharacteristic, complemented
38#16838107C2211yescharacteristic, complemented
39#16838102C2211yescharacteristic, complemented
40#16838101—21no—
41#16838100C2211yescharacteristic, complemented
42#16838081—21no—
43#16838078—21no—
44#16838072C2211yescharacteristic, complemented
45#16838067C2211yescharacteristic, complemented
46#16838060—21no—
47#16838055C2211yescharacteristic, complemented
48#16838052C2211yescharacteristic
49#16838052C2211yescharacteristic, complemented
50#16838047C2211yescharacteristic, complemented
51#16838046C2211yescharacteristic, complemented
52#16838045—21no—
53#16838042—21no—
54#16838041—21no—
55#16838041—21no—
56#16838037C2211yescharacteristic, complemented
57#16838036C2211yescharacteristic
58#16838036C2211yescharacteristic, complemented
59D4×C22⋊D59C2211yescharacteristic, complemented
60#16837949C2211yescharacteristic, complemented
61#16837949C2211yescharacteristic, complemented
62#16837949C2211yescharacteristic, complemented
63#16837936C2211yescharacteristic, complemented
64#16837934C2211yescharacteristic, complemented
65#16837932—21no—
66#16837913—21no—
67#16837911—21no—
68#16837911—21no—
69#16837911—21no—
70#16837909—21no—
71C4×#11745685C2211yescharacteristic
72C4×#11745687C2211yescharacteristic, complemented
73C2×C4×D236C2211yescharacteristic, complemented
74C2×C4×C22⋊D59—21no—
75C4×D4×D59C2211yescharacteristic, complemented
76C4×D4×D59C2211yescharacteristic, complemented
77C4×D4×D59C2211yescharacteristic, complemented
78#16837809C2211yescharacteristic, complemented
79#16837808C2211yescharacteristic, complemented
80#16837799C2211yescharacteristic, complemented
81#16837790C2211yescharacteristic, complemented
82#16837789C2211yescharacteristic, complemented
83#16837777C2211yescharacteristic, complemented
84#16837766C2211yescharacteristic, complemented
85#16837765C2211yescharacteristic, complemented
86#16837764C2211yescharacteristic, complemented
87#16837760C2211yescharacteristic, complemented
88#16837747C2211yescharacteristic, complemented
89#16837747C2211yescharacteristic, complemented
90#16837734C2211yescharacteristic, complemented
91#16837733C2211yescharacteristic, complemented
92#16837728C2211yescharacteristic, complemented
93#16837724C2211yescharacteristic, complemented
94#16837722C2211yescharacteristic, complemented
95#16837722C2211yescharacteristic, complemented
96#16837719C2211yescharacteristic, complemented
97#16837719C2211yescharacteristic, complemented
98#16837716C2211yescharacteristic, complemented
99#16837714C2211yescharacteristic, complemented
100#16837703C2211yescharacteristic, complemented
101#16837703C2211yescharacteristic, complemented
102#16837701C2211yescharacteristic, complemented
103#16837700C2211yescharacteristic, complemented
104#16837691C2211yescharacteristic, complemented
105#16837691C2211yescharacteristic, complemented
106#16837690C2211yescharacteristic, complemented
107#16837690C2211yescharacteristic, complemented
108#16837686C2211yescharacteristic, complemented
109#16837680C2211yescharacteristic, complemented
110#16837656C2211yescharacteristic, complemented
111#16837654C2211yescharacteristic, complemented
112#16837654C2211yescharacteristic, complemented
113#16837652C2211yescharacteristic, complemented
114#16837637C2211yescharacteristic, complemented
115#16837636C2211yescharacteristic, complemented
116#16837636C2211yescharacteristic, complemented
117#16837635C2211yescharacteristic, complemented
118#16837632C2211yescharacteristic, complemented
119#16837630C2211yescharacteristic, complemented
120#16837629C2211yescharacteristic, complemented
121#16837629C2211yescharacteristic, complemented
122#16837618C2211yescharacteristic, complemented
123#16837618C2211yescharacteristic, complemented
124#16837616C2211yescharacteristic, complemented
125#16837615C2211yescharacteristic, complemented
126#16837601C2211yescharacteristic, complemented
127#16837596C2211yescharacteristic
128#16837596C2211yescharacteristic, complemented
129#16837595C2211yescharacteristic, complemented
130#16837595C2211yescharacteristic, complemented
131#16837595C2211yescharacteristic, complemented
132#16837555C2211yescharacteristic, complemented
133#16837554C2211yescharacteristic, complemented
134#16837548C2211yescharacteristic, complemented
135#16837544C2211yescharacteristic, complemented
136#16837538C2211yescharacteristic
137#16837537C2211yescharacteristic, complemented
138#16837537C2211yescharacteristic, complemented
139#16837534C2211yescharacteristic
140#16837534C2211yescharacteristic, complemented
141#16837534C2211yescharacteristic, complemented
142#16837531C2211yescharacteristic, complemented
143#16837531C2211yescharacteristic, complemented
144#16837515C2211yescharacteristic, complemented
145#16837515C2211yescharacteristic, complemented
146#16837514C2211yescharacteristic, complemented
147#16837513C2211yescharacteristic, complemented
148#16837512C2211yescharacteristic
149#16837512C2211yescharacteristic
150#16837512C2211yescharacteristic, complemented
151#16837512C2211yescharacteristic, complemented
152#16837512C2211yescharacteristic, complemented
153#16837512C2211yescharacteristic, complemented
154#16837512C2211yescharacteristic, complemented
155#16837512C2211yescharacteristic, complemented
156#16837512C2211yescharacteristic, complemented
157#16837512C2211yescharacteristic, complemented
158#16837511C2211yescharacteristic
159#16837511C2211yescharacteristic, complemented
160#16837504C2211yescharacteristic, complemented
161#16837504C2211yescharacteristic, complemented
162#16837502C2211yescharacteristic, complemented
163#16837502C2211yescharacteristic, complemented
164#16837493C2211yescharacteristic, complemented
165#16837489C2211yescharacteristic, complemented
166D8×Dic59C2211yescharacteristic, complemented
167#16837482C2211yescharacteristic
168#16837472C2211yescharacteristic, complemented
169#16837472C2211yescharacteristic, complemented
170#16837470C2211yescharacteristic, complemented
171#16837470C2211yescharacteristic, complemented
172(C22⋊D59)⋊C8C2211yescharacteristic, complemented
173(C22⋊D59)⋊C8C2211yescharacteristic, complemented
174#16837457C2211yescharacteristic, complemented
175#16837457C2211yescharacteristic, complemented
176#16837441C2211yescharacteristic, complemented
177C2×#14273658C2211yescharacteristic, complemented
178#106×D59C2211yescharacteristic, complemented
179#16837405C2211yescharacteristic, complemented
180#16837400C2211yescharacteristic, complemented
181C2×#14273648C2211yescharacteristic, complemented
182C2×#14273647C2211yescharacteristic, complemented
183#102×D59C2211yescharacteristic, complemented
184#102×D59C2211yescharacteristic, complemented
185#16837354C2211yescharacteristic, complemented
186C2×#14273638C2211yescharacteristic, complemented
187#97×D59C2211yescharacteristic, complemented
188C59×#532C2211yescharacteristic, complemented
189C2×C4×D4×C59C2211yescharacteristic, complemented
190C59×#481C2211yescharacteristic, complemented
191C59×#481C2211yescharacteristic, complemented
192C59×#476C2211yescharacteristic, complemented
193C59×#476C2211yescharacteristic, complemented
194C59×#459C2211yescharacteristic, complemented
195C59×#459C2211yescharacteristic, complemented
196C59×#447C2211yescharacteristic, complemented
197C59×#447C2211yescharacteristic, complemented
198C59×#442C2211yescharacteristic, complemented
199C59×#442C2211yescharacteristic, complemented
200C59×#442C2211yescharacteristic, complemented
201C59×#442C2211yescharacteristic, complemented
202C59×#432C2211yescharacteristic, complemented
203C2×#11745689—21no—
204C2×#11745685—21no—
205C2×#11745685—21no—
206C2×#11745685—21no—
207C2×#11745685D411yescharacteristic
208C2×#11745687—21no—
209C2×#11745687—21no—
210C2×#11745687—21no—
211C2×#11745687C2311yescharacteristic
212#41×D59—48no—
213C2×Q8×D59—21no—
214C22×D236C2311yescharacteristic
215C22×C22⋊D59—21no—
216C2×D4×D59—21no—
217C2×D4×D59—21no—
218C2×D4×D59—21no—
219C2×D4×D59C2311yescharacteristic
220C2×D4×D59C2311yescharacteristic
221C2×D4×D59C2311yescharacteristic
222C22×C4×D59—21no—
223C22×C4×D59—21no—
224C22×C4×D59—21no—
225C22×C4×D59—21no—
226#14273751—24no—
227C2×#11745660C2311yescharacteristic
228C2×#11745660C2311yescharacteristic
229C2×#11745670C2311yescharacteristic
230C2×#11745670C2311yescharacteristic
231C2×D472C2311yescharacteristic
232C2×D472C2311yescharacteristic
233C2×#11745669—24no—
234C2×#11745669C2311yescharacteristic
235C2×#11745669C2311yescharacteristic
236C2×#11745669C2311yescharacteristic
237C2×#11745669C2311yescharacteristic
238C2×#11745669C2311yescharacteristic
239C2×#11745669C2311yescharacteristic
240D8×D59—24no—
241C2×#11745659C2311yescharacteristic
242C2×#11745659C2311yescharacteristic
243C22×C59⋊C8C2311yescharacteristic
244C22×C59⋊C8C2311yescharacteristic
245C2×C8×D59C2311yescharacteristic
246C2×C8×D59C2311yescharacteristic
247#14273726C2311yescharacteristic
248#14273726C2311yescharacteristic
249#14273726C2311yescharacteristic
250#14273723C2311yescharacteristic
251#14273723C2311yescharacteristic
252#14273723C2311yescharacteristic
253#14273722—21no—
254#14273721—21no—
255#14273720—21no—
256#14273720—21no—
257#14273719C2311yescharacteristic
258#14273718C2311yescharacteristic
259#14273717—21no—
260#14273715C2311yescharacteristic
261#14273714C2311yescharacteristic
262#14273713—21no—
263#14273713—21no—
264#14273713—21no—
265#14273713—21no—
266#14273712—21no—
267#14273712—21no—
268#14273712—21no—
269#14273711—21no—
270#14273710—21no—
271#14273710—21no—
272#14273710—21no—
273#14273709—21no—
274#14273709—21no—
275#14273709—21no—
276#14273709—21no—
277#14273708—21no—
278#14273708—21no—
279#14273708—21no—
280#14273707C2311yescharacteristic
281#14273706—21no—
282#14273706—21no—
283#14273706C2311yescharacteristic
284#14273705—21no—
285#14273705—21no—
286#14273705—21no—
287#14273704—21no—
288#14273704—21no—
289#14273704—21no—
290#14273704—21no—
291#14273703—21no—
292#14273703—21no—
293#14273702C2311yescharacteristic
294#14273702C2311yescharacteristic
295#14273702C2311yescharacteristic
296#14273701—21no—
297#14273701—21no—
298#14273701C2311yescharacteristic
299#14273700—21no—
300#14273700—21no—
301#14273700—21no—
302#14273700—21no—
303#14273700—21no—
304#14273700—21no—
305#14273699—21no—
306#14273699—21no—
307#14273699—21no—
308#14273699—21no—
309#14273698—21no—
310#14273698—21no—
311#14273698C2311yescharacteristic
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—
323#14273695—21no—
324#14273695—21no—
325C4×Dic118D411yescharacteristic
326C4×Dic118C2311yescharacteristic
327C4×Dic118C2311yescharacteristic
328#14273692C2311yescharacteristic
329C4×D236—21no—
330C4×D236—21no—
331C4×D236D411yescharacteristic
332C4×D236C2311yescharacteristic
333C4×D236C2311yescharacteristic
334C4×D236C2311yescharacteristic
335C4×D236C2311yescharacteristic
336C4×D236C2311yescharacteristic
337C4×D236C2311yescharacteristic
338D4×Dic59C2311yescharacteristic
339D4×Dic59C2311yescharacteristic
340D4×Dic59C2311yescharacteristic
341D4×Dic59C2311yescharacteristic
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⋊D59—21no—
354C4×C22⋊D59—21no—
355C4×C22⋊D59—21no—
356C4×C22⋊D59—21no—
357C4×C22⋊D59—21no—
358C4×C22⋊D59D411yescharacteristic
359C4×C22⋊D59D411yescharacteristic
360C4×C22⋊D59C2311yescharacteristic
361C4×C22⋊D59C2311yescharacteristic
362(C22⋊D59)⋊C4—21no—
363(C22⋊D59)⋊C4—21no—
364(C22⋊D59)⋊C4—21no—
365(C22⋊D59)⋊C4—21no—
366#14273686—21no—
367#14273686D411yescharacteristic
368#14273685C2311yescharacteristic
369#14273684—21no—
370#14273684D411yescharacteristic
371#14273684D411yescharacteristic
372#14273683—21no—
373C2×C4⋊Dic59C2311yescharacteristic
374C2×Dic59⋊C4—21no—
375C4⋊C4×D59C2311yescharacteristic
376C4⋊C4×D59C2311yescharacteristic
377C4⋊C4×D59C2311yescharacteristic
378C2×C22⋊Dic59—21no—
379C2×(C2×D59)⋊C4—21no—
380C2×(C2×D59)⋊C4—21no—
381C22⋊C4×D59—21no—
382C22⋊C4×D59—21no—
383C22⋊C4×D59—21no—
384C2×C4×Dic59—21no—
385C42×D59C2311yescharacteristic
386C42×D59C2311yescharacteristic
387#14273661C2311yescharacteristic
388#14273661C2311yescharacteristic
389#14273660C2311yescharacteristic
390#14273660C2311yescharacteristic
391#14273659C2311yescharacteristic
392#14273659C2311yescharacteristic
393#14273658C2311yescharacteristic
394#14273658C2311yescharacteristic
395#14273658C2311yescharacteristic
396#14273658C2311yescharacteristic
397#14273658C2311yescharacteristic
398#14273658C2311yescharacteristic
399Dic59⋊C8C2311yescharacteristic
400Dic59⋊C8C2311yescharacteristic
401Dic59⋊C8C2311yescharacteristic
402Dic59⋊C8C2311yescharacteristic
403#14273652C2311yescharacteristic
404#14273652C2311yescharacteristic
405#14273650C2311yescharacteristic
406#14273650C2311yescharacteristic
407#14273649C2311yescharacteristic
408#14273649C2311yescharacteristic
409#14273649C2311yescharacteristic
410#14273649C2311yescharacteristic
411#14273649C2311yescharacteristic
412#14273649C2311yescharacteristic
413#14273648C2311yescharacteristic
414#14273648C2311yescharacteristic
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#14273638C2311yescharacteristic
434#14273638C2311yescharacteristic
435#14273637C2311yescharacteristic
436#14273637C2311yescharacteristic
437C8×Dic59C2311yescharacteristic
438C8×Dic59C2311yescharacteristic
439C2×#41×C59—21no—
440C22×D4×C59C2311yescharacteristic
441C23×C4×C59—21no—
442C2×D8×C59C2311yescharacteristic
443C2×D8×C59C2311yescharacteristic
444C2×D8×C59C2311yescharacteristic
445C2×D8×C59C2311yescharacteristic
446C4⋊Q8×C59C2311yescharacteristic
447#127×C59C2311yescharacteristic
448#124×C59—21no—
449#121×C59—21no—
450#121×C59C2311yescharacteristic
451#121×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
460C4×D4×C59C2311yescharacteristic
461C2×C4⋊C4×C59C2311yescharacteristic
462C2×C22⋊C4×C59—21no—
463C2×C42×C59C2311yescharacteristic
464#106×C59C2311yescharacteristic
465#106×C59C2311yescharacteristic
466#106×C59C2311yescharacteristic
467#106×C59C2311yescharacteristic
468C4⋊C8×C59C2311yescharacteristic
469C4⋊C8×C59C2311yescharacteristic
470#102×C59C2311yescharacteristic
471#102×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
480#97×C59C2311yescharacteristic
481#97×C59C2311yescharacteristic
482C24×C59—21no—
483C23×D59—21no—
484C23×D59—21no—
485C23×D59—21no—
486C23×D59—21no—
487#41×C59—44no—
488C2×Q8×C59—21no—
489C2×D4×C59—22no—
490C2×D4×C59—21no—
491C2×D4×C59—21no—
492C2×D4×C59—21no—
493C2×D4×C59—21no—
494C2×D4×C59—21no—
495C2×D4×C59—41no—
496C2×D4×C59C2411yescharacteristic
497C2×D4×C59C2411yescharacteristic
498C2×D4×C59C2411yescharacteristic
499C2×D4×C59C2411yescharacteristic
500C22×C4×C59—21no—
501C22×C4×C59—21no—
502C22×C4×C59—21no—
503C22×C4×C59—21no—
504C22×C4×C59—21no—
505C22×C4×C59—21no—
506C22×C4×C59—21no—
507C22×C4×C59—82no—
508C22×C4×C59C2×D411yescharacteristic
509C22×C4×C59C2×D411yescharacteristic
510C22×C4×C59C2411yescharacteristic
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—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—21no—
525C2×C22⋊D59—21no—
526C2×C22⋊D59—44no—
527C2×C22⋊D59C2×D411yescharacteristic
528C2×C22⋊D59C2×D411yescharacteristic
529C22×Dic59—21no—
530C22×Dic59—21no—
531C22×Dic59—21no—
532C22×Dic59—21no—
533C22×Dic59—21no—
534C22×Dic59—21no—
535#11745689—44no—
536Q8×D59—44no—
537#11745687—22no—
538#11745687—41no—
539#11745687—44no—
540#11745687—44no—
541#11745687—44no—
542D4×D59—22no—
543D4×D59—22no—
544D4×D59—22no—
545D4×D59—41no—
546D4×D59—41no—
547D4×D59—41no—
548D4×D59—44no—
549D4×D59—44no—
550D4×D59—44no—
551#11745685—24no—
552#11745685—44no—
553#11745685—44no—
554#11745685—82no—
555C2×D236—22no—
556C2×D236—21no—
557C2×D236—21no—
558C2×D236—21no—
559C2×D236—21no—
560C2×D236—41no—
561C2×D236C2×D411yescharacteristic
562C2×D236C2411yescharacteristic
563C2×D236C2411yescharacteristic
564C2×D236C2411yescharacteristic
565C2×C4×D59—21no—
566C2×C4×D59—21no—
567C2×C4×D59—21no—
568C2×C4×D59—21no—
569C2×C4×D59—21no—
570C2×C4×D59—21no—
571C2×C4×D59—21no—
572C2×C4×D59—21no—
573C2×C4×D59—21no—
574C2×C4×D59—21no—
575C2×C4×D59—21no—
576C2×C4×D59—44no—
577C2×C4×D59—44no—
578C2×C4×D59—44no—
579C2×C4×D59—82no—
580C2×C4×D59C2×D411yescharacteristic
581C2×C4×D59C2×D411yescharacteristic
582C2×C4×D59C2×D411yescharacteristic
583C2×C4×D59C2×D411yescharacteristic
584C2×C4×D59C2411yescharacteristic
585C2×C4×D59C2411yescharacteristic
586C2×Dic118—21no—
587C2×Dic118—21no—
588C2×Dic118—21no—
589C2×Dic118C2×D411yescharacteristic
590C2×Dic118C2411yescharacteristic
591D8×C59—22no—
592D8×C59—22no—
593D8×C59—41no—
594D8×C59—41no—
595C2×C8×C59C2411yescharacteristic
596C2×C8×C59C2411yescharacteristic
597C2×C8×C59C2411yescharacteristic
598C2×C8×C59C2411yescharacteristic
599C4⋊C4×C59—21no—
600C4⋊C4×C59—21no—
601C4⋊C4×C59C2411yescharacteristic
602C4⋊C4×C59C2411yescharacteristic
603C4⋊C4×C59C2411yescharacteristic
604C4⋊C4×C59C2411yescharacteristic
605C22⋊C4×C59—21no—
606C22⋊C4×C59—21no—
607C22⋊C4×C59—21no—
608C22⋊C4×C59—21no—
609C22⋊C4×C59—21no—
610C22⋊C4×C59—21no—
611C22⋊C4×C59—21no—
612C22⋊C4×C59—21no—
613C42×C59C2×D411yescharacteristic
614C42×C59C2×D411yescharacteristic
615C42×C59C2411yescharacteristic
616C42×C59C2411yescharacteristic
617C22⋊Dic59—21no—
618C22⋊Dic59—21no—
619C22⋊Dic59—21no—
620C22⋊Dic59—21no—
621C22⋊Dic59—21no—
622C22⋊Dic59—21no—
623C22⋊Dic59—21no—
624C22⋊Dic59—21no—
625C22⋊Dic59—21no—
626C22⋊Dic59—21no—
627C22⋊Dic59—21no—
628C22⋊Dic59C2×D411yescharacteristic
629C22⋊Dic59C2×D411yescharacteristic
630#11745670—22no—
631#11745670—41no—
632#11745669—22no—
633#11745669—22no—
634#11745669—22no—
635#11745669—22no—
636#11745669—41no—
637#11745669#4114yescomplemented
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)⋊C4—21no—
650(C2×D59)⋊C4—21no—
651(C2×D59)⋊C4—21no—
652(C2×D59)⋊C4—21no—
653(C2×D59)⋊C4—21no—
654(C2×D59)⋊C4C2×D411yescharacteristic
655(C2×D59)⋊C4C2×D411yescharacteristic
656(C2×D59)⋊C4C2×D411yescharacteristic
657(C2×D59)⋊C4C2×D411yescharacteristic
658C4⋊Dic59—21no—
659C4⋊Dic59—21no—
660C4⋊Dic59—21no—
661C4⋊Dic59C2×D411yescharacteristic
662C4⋊Dic59C2×D411yescharacteristic
663C4⋊Dic59C2411yescharacteristic
664C4⋊Dic59C2411yescharacteristic
665C4⋊Dic59C2411yescharacteristic
666C4⋊Dic59C2411yescharacteristic
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×Dic59C2×D411yescharacteristic
687C4×Dic59C2×D411yescharacteristic
688C4×Dic59C2×D411yescharacteristic
689C4×Dic59C2×D411yescharacteristic
690C4×Dic59C2411yescharacteristic
691C4×Dic59C2411yescharacteristic
692C2×C59⋊C8—22no—
693C2×C59⋊C8—41no—
694C2×C59⋊C8C2411yescharacteristic
695C2×C59⋊C8C2411yescharacteristic
696C2×C59⋊C8C2411yescharacteristic
697C2×C59⋊C8C2411yescharacteristic
698D472—22no—
699D472—41no—
700#11745660—22no—
701#11745660—41no—
702#11745659—22no—
703#11745659—41no—
704C8×D59—22no—
705C8×D59—41no—
706C23×C59—21no—
707C23×C59—21no—
708C23×C59—21no—
709C23×C59—21no—
710C23×C59—42no—
711C23×C59—42no—
712C23×C59—81no—
713C23×C59C22×D411yescharacteristic
714C22×D59—21no—
715C22×D59—21no—
716C22×D59—21no—
717C22×D59—42no—
718C22×D59—42no—
719C22×D59—42no—
720C22×D59—42no—
721C22×D59—42no—
722C22×D59—42no—
723C22×D59—42no—
724C22×D59—42no—
725C22×D59—81no—
726C22×D59—81no—
727C22×D59—81no—
728C22×D59—81no—
729C22×D59C22×D411yescharacteristic
730C22×D59C22×D411yescharacteristic
731Q8×C59—42no—
732D4×C59—21no—
733D4×C59—21no—
734D4×C59—21no—
735D4×C59—21no—
736D4×C59—21no—
737D4×C59—21no—
738D4×C59—21no—
739D4×C59—42no—
740D4×C59—42no—
741D4×C59—42no—
742D4×C59—42no—
743D4×C59—81no—
744D4×C59C2×#4112yescomplemented
745C2×C4×C59—22no—
746C2×C4×C59—21no—
747C2×C4×C59—21no—
748C2×C4×C59—21no—
749C2×C4×C59—21no—
750C2×C4×C59—21no—
751C2×C4×C59—21no—
752C2×C4×C59—41no—
753C2×C4×C59—42no—
754C2×C4×C59—42no—
755C2×C4×C59—42no—
756C2×C4×C59—42no—
757C2×C4×C59—81no—
758C2×C4×C59—81no—
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—42no—
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—42no—
777C22⋊D59—42no—
778C22⋊D59—81no—
779C22⋊D59—81no—
780C22⋊D59—81no—
781C22⋊D59—81no—
782C22⋊D59AGL(1,ℤ/8)14yescomplemented
783C2×Dic59—21no—
784C2×Dic59—21no—
785C2×Dic59—21no—
786C2×Dic59—21no—
787C2×Dic59—21no—
788C2×Dic59—42no—
789C2×Dic59—42no—
790C2×Dic59—42no—
791C2×Dic59—42no—
792C2×Dic59—42no—
793C2×Dic59—81no—
794C2×Dic59C22×D411yescharacteristic
795C2×Dic59C22×D411yescharacteristic
796C2×Dic59C22×D411yescharacteristic
797C2×Dic59C22×D411yescharacteristic
798C2×Dic59C22×D411yescharacteristic
799C2×Dic59C22×D411yescharacteristic
800D236—22no—
801D236—21no—
802D236—21no—
803D236—21no—
804D236—21no—
805D236—21no—
806D236—42no—
807D236—42no—
808D236—42no—
809D236—81no—
810D236C2×#4112yes—
811C4×D59—22no—
812C4×D59—21no—
813C4×D59—21no—
814C4×D59—21no—
815C4×D59—21no—
816C4×D59—22no—
817C4×D59—41no—
818C4×D59—41no—
819C4×D59—42no—
820C4×D59—42no—
821C4×D59—42no—
822C4×D59—42no—
823C4×D59—42no—
824C4×D59—42no—
825C4×D59—42no—
826C4×D59—42no—
827C4×D59—42no—
828C4×D59—81no—
829C4×D59—81no—
830Dic118—22no—
831Dic118—21no—
832Dic118—21no—
833Dic118—42no—
834Dic118—42no—
835Dic118—81no—
836C8×C59—21no—
837C8×C59—21no—
838C8×C59—21no—
839C8×C59—21no—
840C59⋊C8—21no—
841C59⋊C8—21no—
842C59⋊C8—21no—
843C59⋊C8C2×#4112yescomplemented
844#61451—591nomaximal, Sylow
845C22×C59—21no—
846C22×C59—21no—
847C22×C59—22no—
848C22×C59—41no—
849C22×C59—41no—
850C22×C59—41no—
851C22×C59—41no—
852C22×C59—41no—
853C22×C59—41no—
854C22×C59—41no—
855C22×C59—41no—
856C22×C59—41no—
857C22×C59—41no—
858C22×C59—41no—
859C22×C59—84no—
860C22×C59C2×AGL(1,ℤ/8)12yes—
861C22×C59C23×D411yescharacteristic
862C2×D59—21no—
863C2×D59—21no—
864C2×D59—21no—
865C2×D59—21no—
866C2×D59—22no—
867C2×D59—21no—
868C2×D59—41no—
869C2×D59—41no—
870C2×D59—41no—
871C2×D59—41no—
872C2×D59—41no—
873C2×D59—41no—
874C2×D59—41no—
875C2×D59—41no—
876C2×D59—84no—
877C2×D59—84no—
878C2×D59—84no—
879C2×D59—84no—
880C2×D59C2×AGL(1,ℤ/8)12yes—
881C4×C59—21no—
882C4×C59—21no—
883C4×C59—21no—
884C4×C59—21no—
885C4×C59—21no—
886C4×C59—41no—
887C4×C59—41no—
888C4×C59—41no—
889C4×C59—41no—
890C4×C59C22×#4111yescharacteristic
891C4×C59#58511yescharacteristic
892Dic59—21no—
893Dic59—21no—
894Dic59—21no—
895Dic59—21no—
896Dic59—21no—
897Dic59—41no—
898Dic59—41no—
899Dic59—41no—
900Dic59—41no—
901Dic59—41no—
902Dic59C2×AGL(1,ℤ/8)12yes—
903#3481—591no—
904D4×#41—591no—
905#3399—591no—
906#3384—591no—
907#3373—591no—
908#3366—591no—
909#3345—591no—
910#3345—591no—
911#3335—591no—
912#3318—591no—
913#3318—591no—
914#3306—591no—
915#3306—591no—
916#3295—591no—
917#3294—591no—
918D4×D8—591no—
919#3264—591no—
920#3264—591no—
921#3184—591no—
922#3180—591no—
923#3180—591no—
924#3115—591no—
925#3114—591no—
926#3114—591no—
927#3109—591no—
928#3109—591no—
929#3109D5911yescharacteristic, complemented
930#2970—591no—
931C4×AGL(1,ℤ/8)—591no—
932C2×#442—591no—
933C2×#442—591no—
934C2×C59—22no—
935C2×C59—42no—
936C2×C59—81no—
937C2×C59—81no—
938C2×C59—81no—
939C2×C59D4×#4111yescharacteristic
940C2×C59C22×AGL(1,ℤ/8)11yescharacteristic
941C2×C59#358511yescharacteristic
942D59—22no—
943D59—41no—
944D59—42no—
945D59—81no—
946D59—81no—
947C22×#41—1181no—
948C2×AGL(1,ℤ/8)—591no—
949C22×D8—591no—
950C22×D8—591no—
951#559—591no—
952#554—591no—
953#554—591no—
954#553—591no—
955#553—591no—
956#553—1181no—
957#551—1181no—
958#551—1181no—
959#550—591no—
960D4×Q8—591no—
961#548—1181no—
962#547—591no—
963#547—591no—
964#547—591no—
965#546—591no—
966#546—591no—
967#546—1181no—
968#546—1181no—
969#546—1181no—
970#546—1181no—
971D42—591no—
972D42—591no—
973D42—591no—
974D42—591no—
975#532—591no—
976#532—591no—
977#532—591no—
978#532C2×D5911yescharacteristic, complemented
979#529—591no—
980#529—591no—
981#529—1181no—
982#525—1181no—
983#525—1181no—
984#525—1181no—
985#525—1181no—
986#525—1181no—
987C4×#41—591no—
988C4×#41—591no—
989C2×C4×D4—591no—
990C2×C4×D4—591no—
991C2×C4×D4—591no—
992C2×C4×D4—591no—
993C2×C4×D4—1181no—
994C2×C4×D4C2×D5911yescharacteristic, complemented
995#501—591no—
996#501—591no—
997#498—591no—
998#496—591no—
999#496—591no—
1000#493—591no—
1001#490—591no—
1002#490—591no—
1003#489—591no—
1004#489—591no—
1005#486—591no—
1006#486—591no—
1007#483—591no—
1008#483—591no—
1009#482—591no—
1010#482—591no—
1011#481—591no—
1012#481—591no—
1013#481—591no—
1014#481—591no—
1015#481C2×D5911yescharacteristic, complemented
1016#481C2×D5911yescharacteristic, complemented
1017#480—591no—
1018#480—591no—
1019#478—591no—
1020#478—591no—
1021#478—591no—
1022#478—591no—
1023#476—591no—
1024#476—591no—
1025#476—591no—
1026#476—591no—
1027#476C2×D5911yescharacteristic, complemented
1028#476C2×D5911yescharacteristic, complemented
1029#475—591no—
1030#474—591no—
1031#469—591no—
1032#469—591no—
1033#469—591no—
1034#469—591no—
1035#466—591no—
1036#466—591no—
1037#466—591no—
1038#466—591no—
1039#465—591no—
1040#465—591no—
1041#465—591no—
1042#465—591no—
1043#463—591no—
1044#463—591no—
1045#463—591no—
1046#463—591no—
1047#460—591no—
1048#459—591no—
1049#459—591no—
1050#459—591no—
1051#459—591no—
1052#459—591no—
1053#459C2×D5911yescharacteristic, complemented
1054#459C2×D5911yescharacteristic, complemented
1055#450—591no—
1056#450—591no—
1057#449—591no—
1058#449—591no—
1059#447—591no—
1060#447—591no—
1061#447—591no—
1062#447—591no—
1063#447—591no—
1064#447—591no—
1065#447C2×D5911yescharacteristic, complemented
1066#447C2×D5911yescharacteristic, complemented
1067#446—591no—
1068#446—591no—
1069#442—591no—
1070#442—591no—
1071#442—591no—
1072#442—591no—
1073#442—591no—
1074#442—591no—
1075#442—591no—
1076#442—591no—
1077#442—591no—
1078#442—591no—
1079#442—591no—
1080#442—591no—
1081#442—591no—
1082#442—591no—
1083#442—591no—
1084#442—591no—
1085#442C2×D5911yescharacteristic, complemented
1086#442C2×D5911yescharacteristic, complemented
1087#442C2×D5911yescharacteristic, complemented
1088#442C2×D5911yescharacteristic, complemented
1089#440—591no—
1090#440—591no—
1091#440—591no—
1092#440—591no—
1093C4×SD16—591no—
1094C4×SD16—591no—
1095C4×D8—591no—
1096C4×D8—591no—
1097#435—591no—
1098#435—591no—
1099#435—591no—
1100#435—591no—
1101C8×D4—591no—
1102C8×D4—591no—
1103#432—591no—
1104#432—591no—
1105#432C2×D5911yescharacteristic, complemented
1106#428—591no—
1107C2×#106—591no—
1108C2×#106—591no—
1109#418—591no—
1110#417—591no—
1111C2×#102—591no—
1112C2×#102—591no—
1113C2×#102—591no—
1114C2×#102—591no—
1115C4×M16—591no—
1116C2×#97—591no—
1117C2×#97—591no—
1118C59#6145111yescharacteristic, complemented, Sylow
1119C2×#41—21no—
1120C2×#41—591no—
1121C2×#41—591no—
1122C2×#41—1181no—
1123C2×#41—1181no—
1124C2×#41—1181no—
1125C2×#41—1181no—
1126C2×#41—1181no—
1127C2×#41—1181no—
1128C2×#41—1181no—
1129C2×#41—2368no—
1130C22×Q8—1181no—
1131C22×D4—591no—
1132C22×D4—591no—
1133C22×D4—591no—
1134C22×D4—591no—
1135C22×D4—1181no—
1136C22×D4—1181no—
1137C22×D4—1181no—
1138C22×D4—1181no—
1139C22×D4C22×D5911yescharacteristic
1140C23×C4—21no—
1141C23×C4—1181no—
1142C23×C4—1181no—
1143C23×C4—1181no—
1144C23×C4—1181no—
1145AGL(1,ℤ/8)—1184no—
1146C2×SD16—591no—
1147C2×SD16—591no—
1148C2×SD16—591no—
1149C2×SD16—591no—
1150C2×D8—591no—
1151C2×D8—591no—
1152C2×D8—591no—
1153C2×D8—591no—
1154C2×D8—591no—
1155C2×D8—591no—
1156C2×D8—591no—
1157C2×D8—591no—
1158C2×D8—1184no—
1159C2×D8—1184no—
1160C2×D8C22×D5911yescharacteristic
1161C2×D8C22×D5911yescharacteristic
1162C2×D8C22×D5911yescharacteristic
1163C2×D8C22×D5911yescharacteristic
1164C2×M16—591no—
1165C2×M16—591no—
1166C22×C8—591no—
1167C22×C8—591no—
1168C22×C8—591no—
1169C22×C8—591no—
1170C4⋊Q8—591no—
1171C4⋊Q8—591no—
1172C4⋊Q8—591no—
1173C4⋊Q8C22×D5911yescharacteristic
1174#127—591no—
1175#127—591no—
1176#127—591no—
1177#127C22×D5911yescharacteristic
1178#126—1181no—
1179#126—1181no—
1180#126—1181no—
1181#126—1181no—
1182#125—591no—
1183#125—591no—
1184#125—1181no—
1185#124—21no—
1186#124—591no—
1187#124—591no—
1188#124—1181no—
1189#124—1181no—
1190#124—1181no—
1191#124—1181no—
1192#123—1181no—
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—
1206C22⋊Q8—591no—
1207C22⋊Q8—591no—
1208C22⋊Q8—1181no—
1209C22⋊Q8—1181no—
1210C22⋊Q8—1181no—
1211C22⋊Q8—1181no—
1212C22⋊Q8—1181no—
1213C22⋊Q8—1181no—
1214C22⋊Q8—1181no—
1215C22⋊Q8—1181no—
1216C22⋊Q8—1181no—
1217C22⋊Q8—1181no—
1218C22⋊Q8—1181no—
1219#121—21no—
1220#121—591no—
1221#121—591no—
1222#121—591no—
1223#121—591no—
1224#121—591no—
1225#121—591no—
1226#121—591no—
1227#121—591no—
1228#121—1181no—
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#121—1181no—
1242#121C22×D5911yescharacteristic
1243#121C22×D5911yescharacteristic
1244#120—1181no—
1245#120—1181no—
1246#120—1181no—
1247#120—1181no—
1248#120—1181no—
1249#120—1181no—
1250#120—1181no—
1251#120—1181no—
1252#120—1181no—
1253#120—1181no—
1254C4×Q8—591no—
1255C4×Q8—591no—
1256C4×Q8—591no—
1257C4×Q8—591no—
1258C4×D4—21no—
1259C4×D4—21no—
1260C4×D4—21no—
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—591no—
1275C4×D4—591no—
1276C4×D4—591no—
1277C4×D4—591no—
1278C4×D4—591no—
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×D4—1181no—
1296C4×D4—1181no—
1297C4×D4—1181no—
1298C4×D4C22×D5911yescharacteristic
1299C4×D4C22×D5911yescharacteristic
1300C4×D4C22×D5911yescharacteristic
1301C4×D4C22×D5911yescharacteristic
1302C4×D4C22×D5911yescharacteristic
1303C4×D4C22×D5911yescharacteristic
1304#117—591no—
1305#117—591no—
1306#117—591no—
1307#117—591no—
1308#117—1181no—
1309#117—1181no—
1310#117—1181no—
1311C2×C4⋊C4—591no—
1312C2×C4⋊C4—591no—
1313C2×C4⋊C4—591no—
1314C2×C4⋊C4—591no—
1315C2×C4⋊C4—1181no—
1316C2×C4⋊C4C22×D5911yescharacteristic
1317C2×C22⋊C4—21no—
1318C2×C22⋊C4—1181no—
1319C2×C22⋊C4—1181no—
1320C2×C22⋊C4—1181no—
1321C2×C22⋊C4—1181no—
1322C2×C22⋊C4—1181no—
1323C2×C22⋊C4—1181no—
1324C2×C42—591no—
1325C2×C42—591no—
1326C2×C42—1181no—
1327C2×C42C22×D5911yescharacteristic
1328#107—591no—
1329#107—591no—
1330#107—591no—
1331#107—591no—
1332#106—591no—
1333#106—591no—
1334#106—591no—
1335#106—591no—
1336#106—591no—
1337#106—591no—
1338#106—591no—
1339#106—591no—
1340#106C22×D5911yescharacteristic
1341#106C22×D5911yescharacteristic
1342#106C22×D5911yescharacteristic
1343#106C22×D5911yescharacteristic
1344C4⋊C8—591no—
1345C4⋊C8—591no—
1346C4⋊C8—591no—
1347C4⋊C8—591no—
1348C4⋊C8C22×D5911yescharacteristic
1349C4⋊C8C22×D5911yescharacteristic
1350#103—591no—
1351#103—591no—
1352#103—591no—
1353#103—591no—
1354#102—591no—
1355#102—591no—
1356#102—591no—
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#102—591no—
1372#102—591no—
1373#102—591no—
1374#102C22×D5911yescharacteristic
1375#102C22×D5911yescharacteristic
1376#102C22×D5911yescharacteristic
1377#102C22×D5911yescharacteristic
1378#102C22×D5911yescharacteristic
1379#102C22×D5911yescharacteristic
1380#102C22×D5911yescharacteristic
1381#102C22×D5911yescharacteristic
1382C22⋊C8—591no—
1383C22⋊C8—591no—
1384C22⋊C8—591no—
1385C22⋊C8—591no—
1386C22⋊C8C22×D5911yescharacteristic
1387C22⋊C8C22×D5911yescharacteristic
1388#97—591no—
1389#97—591no—
1390#97—591no—
1391#97—591no—
1392#97—591no—
1393#97—591no—
1394#97C22×D5911yescharacteristic
1395#97C22×D5911yescharacteristic
1396C4×C8—591no—
1397C4×C8—591no—
1398C24—21no—
1399C24—1181no—
1400C24—1181no—
1401C24—1181no—
1402C24—1181no—
1403#41—44no—
1404#41—1184no—
1405#41—1182no—
1406#41—4722no—
1407#41—2364no—
1408#41—2364no—
1409#41—2361no—
1410#41—2364no—
1411#41—2364no—
1412#41—2364no—
1413#41—2364no—
1414C2×Q8—21no—
1415C2×Q8—591no—
1416C2×Q8—591no—
1417C2×Q8—1181no—
1418C2×Q8—1181no—
1419C2×Q8—1181no—
1420C2×Q8—2364no—
1421C2×D4—22no—
1422C2×D4—21no—
1423C2×D4—21no—
1424C2×D4—21no—
1425C2×D4—21no—
1426C2×D4—21no—
1427C2×D4—41no—
1428C2×D4—591no—
1429C2×D4—591no—
1430C2×D4—591no—
1431C2×D4—591no—
1432C2×D4—591no—
1433C2×D4—591no—
1434C2×D4—1182no—
1435C2×D4—1181no—
1436C2×D4—1181no—
1437C2×D4—1181no—
1438C2×D4—1181no—
1439C2×D4—1181no—
1440C2×D4—1181no—
1441C2×D4—1181no—
1442C2×D4—1181no—
1443C2×D4—1181no—
1444C2×D4—1181no—
1445C2×D4—1181no—
1446C2×D4—1181no—
1447C2×D4—1182no—
1448C2×D4—1182no—
1449C2×D4—1182no—
1450C2×D4—1181no—
1451C2×D4—1181no—
1452C2×D4—1181no—
1453C2×D4—1181no—
1454C2×D4—1181no—
1455C2×D4—1181no—
1456C2×D4—1181no—
1457C2×D4—2361no—
1458C2×D4—2361no—
1459C2×D4—2361no—
1460C2×D4—2361no—
1461C2×D4—2364no—
1462C2×D4—2364no—
1463C2×D4—2364no—
1464C2×D4—2364no—
1465C2×D4C23×D5911yescharacteristic
1466C2×D4C23×D5911yescharacteristic
1467C2×D4C23×D5911yescharacteristic
1468C2×D4C23×D5911yescharacteristic
1469C22×C4—21no—
1470C22×C4—21no—
1471C22×C4—21no—
1472C22×C4—21no—
1473C22×C4—21no—
1474C22×C4—21no—
1475C22×C4—21no—
1476C22×C4—82no—
1477C22×C4—591no—
1478C22×C4—591no—
1479C22×C4—591no—
1480C22×C4—591no—
1481C22×C4—591no—
1482C22×C4—591no—
1483C22×C4—1181no—
1484C22×C4—1181no—
1485C22×C4—1181no—
1486C22×C4—1181no—
1487C22×C4—1181no—
1488C22×C4—1181no—
1489C22×C4—1181no—
1490C22×C4—1181no—
1491C22×C4—1181no—
1492C22×C4—1181no—
1493C22×C4—1181no—
1494C22×C4—1181no—
1495C22×C4—1181no—
1496C22×C4—1181no—
1497C22×C4—1181no—
1498C22×C4—1181no—
1499C22×C4—1181no—
1500C22×C4—4722no—
1501C22×C4—2364no—
1502C22×C4—2364no—
1503C22×C4—2364no—
1504C22×C4D4×D5911yescharacteristic
1505C22×C4D4×D5911yescharacteristic
1506C22×C4C23×D5911yescharacteristic
1507SD16—1182no—
1508SD16—1182no—
1509SD16—2361no—
1510SD16—2361no—
1511D8—22no—
1512D8—22no—
1513D8—41no—
1514D8—41no—
1515D8—594no—
1516D8—1182no—
1517D8—1182no—
1518D8—1182no—
1519D8—1182no—
1520D8—1182no—
1521D8—2361no—
1522D8—2361no—
1523M16—1182no—
1524M16—2361no—
1525C2×C8—591no—
1526C2×C8—591no—
1527C2×C8—591no—
1528C2×C8—591no—
1529C2×C8—1182no—
1530C2×C8—1182no—
1531C2×C8—2361no—
1532C2×C8—2361no—
1533C2×C8C23×D5911yescharacteristic
1534C2×C8C23×D5911yescharacteristic
1535C2×C8C23×D5911yescharacteristic
1536C2×C8C23×D5911yescharacteristic
1537C4⋊C4—21no—
1538C4⋊C4—21no—
1539C4⋊C4—591no—
1540C4⋊C4—591no—
1541C4⋊C4—591no—
1542C4⋊C4—591no—
1543C4⋊C4—591no—
1544C4⋊C4—591no—
1545C4⋊C4—591no—
1546C4⋊C4—591no—
1547C4⋊C4—591no—
1548C4⋊C4—591no—
1549C4⋊C4—1181no—
1550C4⋊C4—1181no—
1551C4⋊C4—1181no—
1552C4⋊C4—1181no—
1553C4⋊C4—1181no—
1554C4⋊C4—1181no—
1555C4⋊C4—1181no—
1556C4⋊C4—1181no—
1557C4⋊C4—1181no—
1558C4⋊C4—1181no—
1559C4⋊C4—1181no—
1560C4⋊C4—1181no—
1561C4⋊C4—1181no—
1562C4⋊C4—1181no—
1563C4⋊C4—1181no—
1564C4⋊C4C23×D5911yescharacteristic
1565C4⋊C4C23×D5911yescharacteristic
1566C4⋊C4C23×D5911yescharacteristic
1567C4⋊C4C23×D5911yescharacteristic
1568C22⋊C4—21no—
1569C22⋊C4—21no—
1570C22⋊C4—21no—
1571C22⋊C4—21no—
1572C22⋊C4—21no—
1573C22⋊C4—21no—
1574C22⋊C4—21no—
1575C22⋊C4—21no—
1576C22⋊C4—591no—
1577C22⋊C4—591no—
1578C22⋊C4—591no—
1579C22⋊C4—591no—
1580C22⋊C4—591no—
1581C22⋊C4—591no—
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—
1596C22⋊C4—1181no—
1597C22⋊C4—1181no—
1598C22⋊C4—1181no—
1599C22⋊C4—1181no—
1600C22⋊C4—1181no—
1601C22⋊C4—1181no—
1602C22⋊C4—1181no—
1603C22⋊C4—1181no—
1604C22⋊C4—1181no—
1605C22⋊C4—1181no—
1606C22⋊C4—1181no—
1607C22⋊C4—1181no—
1608C22⋊C4—1181no—
1609C42—591no—
1610C42—591no—
1611C42—591no—
1612C42—591no—
1613C42—591no—
1614C42—591no—
1615C42—1181no—
1616C42—1181no—
1617C42—1181no—
1618C42D4×D5911yescharacteristic
1619C42D4×D5911yescharacteristic
1620C42C23×D5911yescharacteristic
1621C42C23×D5911yescharacteristic
1622C23—21no—
1623C23—21no—
1624C23—21no—
1625C23—21no—
1626C23—42no—
1627C23—42no—
1628C23—81no—
1629C23—591no—
1630C23—591no—
1631C23—1181no—
1632C23—1181no—
1633C23—1181no—
1634C23—4721no—
1635C23—4721no—
1636C23—4721no—
1637C23—4721no—
1638C23—2362no—
1639C23—2362no—
1640C23—2362no—
1641C23—2362no—
1642C23—2362no—
1643C23—2362no—
1644C23—2362no—
1645C23—2362no—
1646C23C2×D4×D5911yescharacteristic
1647Q8—42no—
1648Q8—1182no—
1649Q8—1181no—
1650Q8—1181no—
1651Q8—4721no—
1652Q8—2362no—
1653Q8—2362no—
1654D4—21no—
1655D4—21no—
1656D4—21no—
1657D4—21no—
1658D4—21no—
1659D4—21no—
1660D4—21no—
1661D4—42no—
1662D4—42no—
1663D4—42no—
1664D4—42no—
1665D4—81no—
1666D4—594no—
1667D4—592no—
1668D4—1182no—
1669D4—1182no—
1670D4—1181no—
1671D4—1181no—
1672D4—1181no—
1673D4—1181no—
1674D4—1181no—
1675D4—4721no—
1676D4—4721no—
1677D4—4721no—
1678D4—4721no—
1679D4—4721no—
1680D4—2362no—
1681D4—2362no—
1682D4—2362no—
1683D4—2362no—
1684D4—2362no—
1685D4—2362no—
1686D4—2362no—
1687D4—2362no—
1688D4—2362no—
1689D4—2362no—
1690D4—2362no—
1691D4—2362no—
1692D4—2362no—
1693D4—2362no—
1694D4#41×D5912yescomplemented
1695C2×C4—22no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—41no—
1703C2×C4—42no—
1704C2×C4—42no—
1705C2×C4—42no—
1706C2×C4—42no—
1707C2×C4—81no—
1708C2×C4—81no—
1709C2×C4—81no—
1710C2×C4—591no—
1711C2×C4—591no—
1712C2×C4—591no—
1713C2×C4—591no—
1714C2×C4—591no—
1715C2×C4—591no—
1716C2×C4—1182no—
1717C2×C4—1182no—
1718C2×C4—1181no—
1719C2×C4—1181no—
1720C2×C4—1181no—
1721C2×C4—1181no—
1722C2×C4—1181no—
1723C2×C4—1181no—
1724C2×C4—1181no—
1725C2×C4—1181no—
1726C2×C4—1181no—
1727C2×C4—4721no—
1728C2×C4—4721no—
1729C2×C4—4721no—
1730C2×C4—2361no—
1731C2×C4—2361no—
1732C2×C4—2362no—
1733C2×C4—2362no—
1734C2×C4—2362no—
1735C2×C4—2362no—
1736C2×C4—2362no—
1737C2×C4—2362no—
1738C2×C4—2362no—
1739C2×C4—2362no—
1740C2×C4—2362no—
1741C2×C4—2362no—
1742C2×C4—2362no—
1743C2×C4—2362no—
1744C2×C4—2362no—
1745C2×C4—2362no—
1746C2×C4C2×D4×D5911yescharacteristic
1747C2×C4C2×D4×D5911yescharacteristic
1748C2×C4C2×D4×D5911yescharacteristic
1749C2×C4C2×D4×D5911yescharacteristic
1750C2×C4C2×D4×D5911yescharacteristic
1751C2×C4C24×D5911yescharacteristic
1752C8—21no—
1753C8—21no—
1754C8—21no—
1755C8—21no—
1756C8—592no—
1757C8—1181no—
1758C8—1181no—
1759C8—1181no—
1760C22—21no—
1761C22—21no—
1762C22—22no—
1763C22—41no—
1764C22—41no—
1765C22—41no—
1766C22—41no—
1767C22—41no—
1768C22—41no—
1769C22—41no—
1770C22—41no—
1771C22—41no—
1772C22—41no—
1773C22—41no—
1774C22—84no—
1775C22—592no—
1776C22—1181no—
1777C22—1181no—
1778C22—1181no—
1779C22—1181no—
1780C22—1182no—
1781C22—1181no—
1782C22—4724no—
1783C22—4724no—
1784C22—4724no—
1785C22—4724no—
1786C22—2361no—
1787C22—2361no—
1788C22—2361no—
1789C22—2361no—
1790C22—2361no—
1791C22—2361no—
1792C22—2361no—
1793C22—2361no—
1794C22AGL(1,ℤ/8)×D5912yes—
1795C22C22×D4×D5911yescharacteristic
1796C4—21no—
1797C4—21no—
1798C4—21no—
1799C4—21no—
1800C4—21no—
1801C4—41no—
1802C4—41no—
1803C4—41no—
1804C4—41no—
1805C4—592no—
1806C4—1181no—
1807C4—1181no—
1808C4—1181no—
1809C4—1181no—
1810C4—1181no—
1811C4—2361no—
1812C4—2361no—
1813C4—2361no—
1814C4—2361no—
1815C4—2361no—
1816C4C2×#41×D5911yescharacteristic
1817C4#1683823811yescharacteristic
1818C2—22no—
1819C2—42no—
1820C2—81no—
1821C2—81no—
1822C2—81no—
1823C2—1182no—
1824C2—4721no—
1825C2—4721no—
1826C2—2361no—
1827C2—2362no—
1828C2#2143757911yescharacteristic
1829C2C2×AGL(1,ℤ/8)×D5911yescharacteristic
1830C2#2143887211yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3109C2
socleC22×C59C23×D4
hypercenter#3109D59
hypocenterC59#61451
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3109

Complements

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

NH ≅ G/Ntype
1. #21437700C2semidirect
2. #21437582C2semidirect
3. #21437141C2semidirect
4. #21436990C2semidirect
5. #21436891C2semidirect
6. #21436798C2semidirect
7. #21436573C2semidirect
8. #21436564C2semidirect
9. #21436451C2semidirect
10. #21436244C2semidirect
11. #21436235C2semidirect
12. #21436061C2semidirect
13. #21436054C2semidirect
14. #21435918C2semidirect
15. #21435902C2semidirect
16. #21435766C2semidirect
17. #21435571C2semidirect
18. #21435569C2semidirect
19. #21434831C2semidirect
20. #21434792C2semidirect
21. #21434788C2semidirect
22. #21434243C2semidirect
23. #21434236C2semidirect
24. #21434232C2semidirect
25. #21434185C2semidirect
26. #21434185C2semidirect
27. #21433105C2semidirect
28. #21432907C2semidirect
29. C2×#16837512C2semidirect
30. #442×D59C2semidirect
31. C59×#3109C2semidirect
36. #16838135C22semidirect
37. #16838111C22semidirect
38. #16838107C22semidirect
39. #16838102C22semidirect
41. #16838100C22semidirect
44. #16838072C22semidirect
45. #16838067C22semidirect
47. #16838055C22semidirect
49. #16838052C22semidirect
50. #16838047C22semidirect
51. #16838046C22semidirect
56. #16838037C22semidirect
58. #16838036C22semidirect
59. D4×C22⋊D59C22semidirect
60. #16837949C22semidirect
61. #16837949C22semidirect
62. #16837949C22semidirect
63. #16837936C22semidirect
64. #16837934C22semidirect
72. C4×#11745687C22semidirect
73. C2×C4×D236C22semidirect
75. C4×D4×D59C22semidirect
76. C4×D4×D59C22semidirect
77. C4×D4×D59C22semidirect
78. #16837809C22semidirect
79. #16837808C22semidirect
80. #16837799C22semidirect
81. #16837790C22semidirect
82. #16837789C22semidirect
83. #16837777C22semidirect
84. #16837766C22semidirect
85. #16837765C22semidirect
86. #16837764C22semidirect
87. #16837760C22semidirect
88. #16837747C22semidirect
89. #16837747C22semidirect
90. #16837734C22semidirect
91. #16837733C22semidirect
92. #16837728C22semidirect
93. #16837724C22semidirect
94. #16837722C22semidirect
95. #16837722C22semidirect
96. #16837719C22semidirect
97. #16837719C22semidirect
98. #16837716C22semidirect
99. #16837714C22semidirect
100. #16837703C22semidirect
101. #16837703C22semidirect
102. #16837701C22semidirect
103. #16837700C22semidirect
104. #16837691C22semidirect
105. #16837691C22semidirect
106. #16837690C22semidirect
107. #16837690C22semidirect
108. #16837686C22semidirect
109. #16837680C22semidirect
110. #16837656C22semidirect
111. #16837654C22semidirect
112. #16837654C22semidirect
113. #16837652C22semidirect
114. #16837637C22semidirect
115. #16837636C22semidirect
116. #16837636C22semidirect
117. #16837635C22semidirect
118. #16837632C22semidirect
119. #16837630C22semidirect
120. #16837629C22semidirect
121. #16837629C22semidirect
122. #16837618C22semidirect
123. #16837618C22semidirect
124. #16837616C22semidirect
125. #16837615C22semidirect
126. #16837601C22semidirect
128. #16837596C22semidirect
129. #16837595C22semidirect
130. #16837595C22semidirect
131. #16837595C22semidirect
132. #16837555C22semidirect
133. #16837554C22semidirect
134. #16837548C22semidirect
135. #16837544C22semidirect
137. #16837537C22semidirect
138. #16837537C22semidirect
140. #16837534C22semidirect
141. #16837534C22semidirect
142. #16837531C22semidirect
143. #16837531C22semidirect
144. #16837515C22semidirect
145. #16837515C22semidirect
146. #16837514C22semidirect
147. #16837513C22semidirect
150. #16837512C22semidirect
151. #16837512C22semidirect
152. #16837512C22semidirect
153. #16837512C22semidirect
154. #16837512C22semidirect
155. #16837512C22semidirect
156. #16837512C22semidirect
157. #16837512C22semidirect
159. #16837511C22semidirect
160. #16837504C22semidirect
161. #16837504C22semidirect
162. #16837502C22semidirect
163. #16837502C22semidirect
164. #16837493C22semidirect
165. #16837489C22semidirect
166. D8×Dic59C22semidirect
168. #16837472C22semidirect
169. #16837472C22semidirect
170. #16837470C22semidirect
171. #16837470C22semidirect
172. (C22⋊D59)⋊C8C22semidirect
173. (C22⋊D59)⋊C8C22semidirect
174. #16837457C22semidirect
175. #16837457C22semidirect
176. #16837441C22semidirect
177. C2×#14273658C22semidirect
178. #106×D59C22semidirect
179. #16837405C22semidirect
180. #16837400C22semidirect
181. C2×#14273648C22semidirect
182. C2×#14273647C22semidirect
183. #102×D59C22semidirect
184. #102×D59C22semidirect
185. #16837354C22semidirect
186. C2×#14273638C22semidirect
187. #97×D59C22semidirect
188. C59×#532C22semidirect
189. C2×C4×D4×C59C22semidirect
190. C59×#481C22semidirect
191. C59×#481C22semidirect
192. C59×#476C22semidirect
193. C59×#476C22semidirect
194. C59×#459C22semidirect
195. C59×#459C22semidirect
196. C59×#447C22semidirect
197. C59×#447C22semidirect
198. C59×#442C22semidirect
199. C59×#442C22semidirect
200. C59×#442C22semidirect
201. C59×#442C22semidirect
202. C59×#432C22semidirect
637. #11745669#41semidirect
744. D4×C59C2×#41semidirect
782. C22⋊D59AGL(1,ℤ/8)semidirect
843. C59⋊C8C2×#41semidirect
929. #3109D59semidirect
978. #532C2×D59semidirect
994. C2×C4×D4C2×D59semidirect
1015. #481C2×D59semidirect
1016. #481C2×D59semidirect
1027. #476C2×D59semidirect
1028. #476C2×D59semidirect
1053. #459C2×D59semidirect
1054. #459C2×D59semidirect
1065. #447C2×D59semidirect
1066. #447C2×D59semidirect
1085. #442C2×D59semidirect
1086. #442C2×D59semidirect
1087. #442C2×D59semidirect
1088. #442C2×D59semidirect
1105. #432C2×D59semidirect
1118. C59#61451semidirect
1694. D4#41×D59semidirect

Maximal subgroups

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

subgroupindex
#214377002
#214375822
#214371412
#214369902
#214368912
#214367982
#214365732
#214365642
#214364512
#214362442
#214362352
#214360612
#214360542
#214359182
#214359022
#214357662
#214355712
#214355692
#214348312
#214347922
#214347882
#214342432
#214342362
#214342322
#214341852
#214331052
#214329072
C2×#168375122
#442×D592
C59×#31092
#6145159