Finite Group Databasebeta

← #29470444

Subgroups — #29470444

Order 15104.

1978 conjugacy classes of subgroups.

The subgroup lattice has 1776 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437704C211yesmaximal, characteristic, complemented
2#21437700C211yesmaximal, characteristic, complemented
3#21437179C211yesmaximal, characteristic, complemented
4#21437049C211yesmaximal, characteristic, complemented
5#21436856C211yesmaximal, characteristic, complemented
6#21436842C211yesmaximal, characteristic, complemented
7#21436702C211yesmaximal, characteristic, complemented
8#21436584C211yesmaximal, characteristic, complemented
9#21436578C211yesmaximal, characteristic, complemented
10#21436301C211yesmaximal, characteristic, complemented
11#21436300C211yesmaximal, characteristic, complemented
12#21436244C211yesmaximal, characteristic, complemented
13#21436230C211yesmaximal, characteristic, complemented
14#21436180C211yesmaximal, characteristic, complemented
15#21436174C211yesmaximal, characteristic, complemented
16#21435707C211yesmaximal, characteristic, complemented
17#21435574C211yesmaximal, characteristic, complemented
18#21435571C211yesmaximal, characteristic, complemented
19#21434689C211yesmaximal, characteristic, complemented
20#21434685C211yesmaximal, characteristic, complemented
21#21434664C211yesmaximal, characteristic, complemented
22#21434141C211yesmaximal, characteristic, complemented
23#21434141C211yesmaximal, characteristic, complemented
24#21434116C211yesmaximal, characteristic, complemented
25#21434110C211yesmaximal, characteristic, complemented
26#21434094C211yesmaximal, characteristic, complemented
27#21433060C211yesmaximal, characteristic, complemented
28C4×#14273753C211yesmaximal, characteristic, complemented
29C4×#14273751C211yesmaximal, characteristic, complemented
30C4×D8×D59C211yesmaximal, characteristic, complemented
31C59×#3100C211yesmaximal, characteristic, complemented
32C2×#14273753C2211yescharacteristic
33C2×#14273751C2211yescharacteristic
34C2×D8×D59C2211yescharacteristic
35#16838138C2211yescharacteristic, complemented
36#16838135C2211yescharacteristic, complemented
37#16838113C2211yescharacteristic, complemented
38#16838113C2211yescharacteristic, complemented
39#16838111C2211yescharacteristic, complemented
40#16838107C2211yescharacteristic, complemented
41#16838102C2211yescharacteristic
42#16838101—21no—
43#16838100C2211yescharacteristic, complemented
44#16838099—21no—
45#16838099C2211yescharacteristic
46#16838099C2211yescharacteristic, complemented
47#16838082—21no—
48#16838082—21no—
49#16838081—21no—
50#16838078—21no—
51#16838049—21no—
52#16838049C2211yescharacteristic
53#16838049C2211yescharacteristic, complemented
54#16838047C2211yescharacteristic
55#16838046C2211yescharacteristic, complemented
56#16838042—21no—
57#16838037C2211yescharacteristic, complemented
58D4×C22⋊D59C2211yescharacteristic, complemented
59#16837949C2211yescharacteristic, complemented
60#16837936C2211yescharacteristic, complemented
61#16837934—21no—
62#16837934C2211yescharacteristic, complemented
63#16837934C2211yescharacteristic, complemented
64#16837934C2211yescharacteristic, complemented
65#16837932—21no—
66#16837913—21no—
67#16837911—21no—
68#16837909—21no—
69#16837909—21no—
70C4×#11745685C2211yescharacteristic
71C4×#11745685C2211yescharacteristic, complemented
72C4×#11745687C2211yescharacteristic, complemented
73C2×C4×C22⋊D59—21no—
74C4×D4×D59—21no—
75C4×D4×D59C2211yescharacteristic, complemented
76C4×D4×D59C2211yescharacteristic, complemented
77C4×D4×D59C2211yescharacteristic, complemented
78#16837810C2211yescharacteristic, complemented
79#16837808C2211yescharacteristic, complemented
80#16837803C2211yescharacteristic, complemented
81#16837790C2211yescharacteristic, complemented
82#16837789C2211yescharacteristic, complemented
83#16837785C2211yescharacteristic, complemented
84#16837766C2211yescharacteristic, complemented
85#16837765C2211yescharacteristic, complemented
86#16837764C2211yescharacteristic, complemented
87#16837760C2211yescharacteristic, complemented
88#16837755C2211yescharacteristic, complemented
89#16837755C2211yescharacteristic, complemented
90#16837745C2211yescharacteristic, complemented
91#16837744C2211yescharacteristic, complemented
92#16837739C2211yescharacteristic, complemented
93#16837739C2211yescharacteristic, complemented
94#16837727C2211yescharacteristic, complemented
95#16837724C2211yescharacteristic, complemented
96#16837719C2211yescharacteristic, complemented
97#16837719C2211yescharacteristic, complemented
98#16837717C2211yescharacteristic, complemented
99#16837714C2211yescharacteristic, complemented
100#16837710C2211yescharacteristic, complemented
101#16837708C2211yescharacteristic, complemented
102#16837705C2211yescharacteristic, complemented
103#16837705C2211yescharacteristic, complemented
104#16837704C2211yescharacteristic, complemented
105#16837704C2211yescharacteristic, complemented
106#16837703C2211yescharacteristic, complemented
107#16837700C2211yescharacteristic, complemented
108#16837681C2211yescharacteristic, complemented
109#16837680C2211yescharacteristic, complemented
110#16837654C2211yescharacteristic, complemented
111#16837653C2211yescharacteristic, complemented
112#16837653C2211yescharacteristic, complemented
113#16837652C2211yescharacteristic, complemented
114#16837649C2211yescharacteristic, complemented
115#16837647C2211yescharacteristic, complemented
116#16837646C2211yescharacteristic, complemented
117#16837646C2211yescharacteristic, complemented
118#16837644C2211yescharacteristic, complemented
119#16837635C2211yescharacteristic
120#16837630C2211yescharacteristic, complemented
121#16837630C2211yescharacteristic, complemented
122#16837625C2211yescharacteristic, complemented
123#16837623C2211yescharacteristic, complemented
124#16837618C2211yescharacteristic, complemented
125#16837616C2211yescharacteristic, complemented
126#16837616C2211yescharacteristic, complemented
127#16837615C2211yescharacteristic, complemented
128#16837615C2211yescharacteristic, complemented
129#16837615C2211yescharacteristic, complemented
130#16837596C2211yescharacteristic
131#16837595C2211yescharacteristic, complemented
132#16837566C2211yescharacteristic, complemented
133#16837565C2211yescharacteristic, complemented
134#16837554C2211yescharacteristic, complemented
135#16837554C2211yescharacteristic, complemented
136#16837549C2211yescharacteristic
137#16837544C2211yescharacteristic
138#16837537C2211yescharacteristic, complemented
139#16837534C2211yescharacteristic
140#16837534C2211yescharacteristic
141#16837534C2211yescharacteristic, complemented
142#16837531C2211yescharacteristic, complemented
143#16837531C2211yescharacteristic, complemented
144#16837514C2211yescharacteristic, complemented
145#16837512C2211yescharacteristic
146#16837512C2211yescharacteristic, complemented
147#16837511C2211yescharacteristic
148#16837502C2211yescharacteristic, complemented
149#16837502C2211yescharacteristic, complemented
150#16837501C2211yescharacteristic, complemented
151#16837499C2211yescharacteristic, complemented
152C4×Dic236C2211yescharacteristic, complemented
153C4×#11745660C2211yescharacteristic, complemented
154C4×#11745660C2211yescharacteristic, complemented
155C4×#11745670C2211yescharacteristic, complemented
156C4×#11745670C2211yescharacteristic, complemented
157C4×#11745670C2211yescharacteristic, complemented
158C4×#11745670C2211yescharacteristic, complemented
159C4×D472C2211yescharacteristic, complemented
160D8×Dic59C2211yescharacteristic, complemented
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#16837443C2211yescharacteristic, complemented
177#16837442C2211yescharacteristic, complemented
178#107×D59C2211yescharacteristic, complemented
179#16837407C2211yescharacteristic, complemented
180#16837405C2211yescharacteristic, complemented
181#16837401C2211yescharacteristic, complemented
182#16837400C2211yescharacteristic, complemented
183#102×D59C2211yescharacteristic, complemented
184#102×D59C2211yescharacteristic, complemented
185C4×#11745664C2211yescharacteristic, complemented
186C4×#11745659C2211yescharacteristic, complemented
187C4×C8×D59C2211yescharacteristic, complemented
188C59×#532C2211yescharacteristic, complemented
189C2×C4×D4×C59C2211yescharacteristic, complemented
190C59×#480C2211yescharacteristic, complemented
191C59×#480C2211yescharacteristic, complemented
192C59×#474C2211yescharacteristic, complemented
193C59×#474C2211yescharacteristic, complemented
194C59×#459C2211yescharacteristic
195C59×#459C2211yescharacteristic, complemented
196C59×#447C2211yescharacteristic, complemented
197C59×#447C2211yescharacteristic, complemented
198C4×D8×C59C2211yescharacteristic, complemented
199C4×D8×C59C2211yescharacteristic, complemented
200C4×D8×C59C2211yescharacteristic, complemented
201C4×D8×C59C2211yescharacteristic, complemented
202C59×#431C2211yescharacteristic, complemented
203C2×#11745685—21no—
204C2×#11745685D411yescharacteristic
205C2×#11745685C2311yescharacteristic
206C2×#11745687C2311yescharacteristic
207C22×C22⋊D59—21no—
208C2×D4×D59—21no—
209C2×D4×D59C2311yescharacteristic
210C2×D4×D59C2311yescharacteristic
211C2×D4×D59C2311yescharacteristic
212C22×C4×D59—21no—
213C22×C4×D59—21no—
214C22×C4×D59—21no—
215#14273753—24no—
216#14273751—24no—
217C2×Dic236C2311yescharacteristic
218C2×#11745660C2311yescharacteristic
219C2×#11745660C2311yescharacteristic
220C2×#11745670C2311yescharacteristic
221C2×#11745670C2311yescharacteristic
222C2×#11745670C2311yescharacteristic
223C2×#11745670C2311yescharacteristic
224C2×D472C2311yescharacteristic
225C2×#11745669C2311yescharacteristic
226C2×#11745669C2311yescharacteristic
227C2×#11745669C2311yescharacteristic
228C2×#11745669C2311yescharacteristic
229D8×D59—24no—
230C2×#11745664C2311yescharacteristic
231C2×#11745664C2311yescharacteristic
232C2×#11745659C2311yescharacteristic
233C2×#11745659C2311yescharacteristic
234C2×C8×D59C2311yescharacteristic
235C2×C8×D59C2311yescharacteristic
236#14273726C2311yescharacteristic
237#14273723C2311yescharacteristic
238#14273722—21no—
239#14273721—21no—
240#14273720—21no—
241#14273720—21no—
242#14273720—21no—
243#14273720—21no—
244#14273720—21no—
245#14273720—21no—
246#14273719C2311yescharacteristic
247#14273718—21no—
248#14273718C2311yescharacteristic
249#14273718C2311yescharacteristic
250#14273718C2311yescharacteristic
251#14273717—21no—
252#14273715C2311yescharacteristic
253#14273714—21no—
254#14273714C2311yescharacteristic
255#14273714C2311yescharacteristic
256#14273714C2311yescharacteristic
257#14273713—21no—
258#14273713—21no—
259#14273712—21no—
260#14273711—21no—
261#14273710—21no—
262#14273710—21no—
263#14273710—21no—
264#14273709—21no—
265#14273709—21no—
266#14273709—21no—
267#14273709—21no—
268#14273709—21no—
269#14273709—21no—
270#14273708—21no—
271#14273708—21no—
272#14273708—21no—
273#14273708—21no—
274#14273708—21no—
275#14273707—21no—
276#14273707C2311yescharacteristic
277#14273707C2311yescharacteristic
278#14273707C2311yescharacteristic
279#14273706—21no—
280#14273706—21no—
281#14273706C2311yescharacteristic
282#14273705—21no—
283#14273704—21no—
284#14273704—21no—
285#14273703—21no—
286#14273703—21no—
287#14273703—21no—
288#14273703—21no—
289#14273702C2311yescharacteristic
290#14273701—21no—
291#14273701—21no—
292#14273701C2311yescharacteristic
293#14273700—21no—
294#14273700—21no—
295#14273699—21no—
296#14273699—21no—
297#14273698—21no—
298#14273698—21no—
299#14273698—21no—
300#14273698—21no—
301#14273698—21no—
302#14273698C2311yescharacteristic
303#14273698C2311yescharacteristic
304#14273698C2311yescharacteristic
305#14273698C2311yescharacteristic
306#14273697—21no—
307#14273696—21no—
308#14273696—21no—
309#14273695—21no—
310#14273695—21no—
311#14273695—21no—
312#14273695—21no—
313#14273695—21no—
314C4×Dic118D411yescharacteristic
315C4×Dic118C2311yescharacteristic
316C4×Dic118C2311yescharacteristic
317C4×Dic118C2311yescharacteristic
318C4×Dic118C2311yescharacteristic
319#14273692C2311yescharacteristic
320C4×D236D411yescharacteristic
321C4×D236C2311yescharacteristic
322C4×D236C2311yescharacteristic
323C4×D236C2311yescharacteristic
324C4×D236C2311yescharacteristic
325D4×Dic59—21no—
326D4×Dic59C2311yescharacteristic
327D4×Dic59C2311yescharacteristic
328D4×Dic59C2311yescharacteristic
329D4×Dic59C2311yescharacteristic
330#14273689—21no—
331#14273689C2311yescharacteristic
332#14273689C2311yescharacteristic
333#14273689C2311yescharacteristic
334C4×C22⋊D59—21no—
335C4×C22⋊D59—21no—
336C4×C22⋊D59—21no—
337C4×C22⋊D59—21no—
338C4×C22⋊D59—21no—
339C4×C22⋊D59—21no—
340C4×C22⋊D59—21no—
341C4×C22⋊D59—21no—
342C4×C22⋊D59—21no—
343C4×C22⋊D59—21no—
344C4×C22⋊D59—21no—
345C4×C22⋊D59—21no—
346C4×C22⋊D59—21no—
347C4×C22⋊D59—21no—
348C4×C22⋊D59—21no—
349C4×C22⋊D59D411yescharacteristic
350C4×C22⋊D59D411yescharacteristic
351C4×C22⋊D59C2311yescharacteristic
352C4×C22⋊D59C2311yescharacteristic
353(C22⋊D59)⋊C4—21no—
354(C22⋊D59)⋊C4—21no—
355(C22⋊D59)⋊C4—21no—
356(C22⋊D59)⋊C4—21no—
357(C22⋊D59)⋊C4—21no—
358(C22⋊D59)⋊C4—21no—
359#14273686—21no—
360#14273686—21no—
361#14273686—21no—
362#14273686D411yescharacteristic
363#14273686C2311yescharacteristic
364#14273685C2311yescharacteristic
365#14273684—21no—
366#14273684—21no—
367#14273684D411yescharacteristic
368#14273684D411yescharacteristic
369#14273683—21no—
370C2×Dic59⋊C4—21no—
371C4⋊C4×D59—21no—
372C4⋊C4×D59C2311yescharacteristic
373C4⋊C4×D59C2311yescharacteristic
374C4⋊C4×D59C2311yescharacteristic
375C2×C22⋊Dic59—21no—
376C2×(C2×D59)⋊C4—21no—
377C22⋊C4×D59—21no—
378C22⋊C4×D59—21no—
379C22⋊C4×D59—21no—
380C22⋊C4×D59—21no—
381C22⋊C4×D59—21no—
382C2×C4×Dic59—21no—
383C42×D59—21no—
384C42×D59C2311yescharacteristic
385C42×D59C2311yescharacteristic
386#14273661C2311yescharacteristic
387#14273661C2311yescharacteristic
388#14273660C2311yescharacteristic
389#14273660C2311yescharacteristic
390#14273660C2311yescharacteristic
391#14273660C2311yescharacteristic
392#14273659C2311yescharacteristic
393#14273659C2311yescharacteristic
394#14273658C2311yescharacteristic
395#14273658C2311yescharacteristic
396#14273658C2311yescharacteristic
397#14273658C2311yescharacteristic
398Dic59⋊C8C2311yescharacteristic
399Dic59⋊C8C2311yescharacteristic
400Dic59⋊C8C2311yescharacteristic
401Dic59⋊C8C2311yescharacteristic
402#14273652C2311yescharacteristic
403#14273652C2311yescharacteristic
404#14273652C2311yescharacteristic
405#14273652C2311yescharacteristic
406#14273650C2311yescharacteristic
407#14273650C2311yescharacteristic
408#14273650C2311yescharacteristic
409#14273650C2311yescharacteristic
410#14273649C2311yescharacteristic
411#14273649C2311yescharacteristic
412#14273649C2311yescharacteristic
413#14273649C2311yescharacteristic
414#14273648C2311yescharacteristic
415#14273648C2311yescharacteristic
416#14273648C2311yescharacteristic
417#14273648C2311yescharacteristic
418#14273648C2311yescharacteristic
419#14273648C2311yescharacteristic
420#14273648C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273647C2311yescharacteristic
423#14273647C2311yescharacteristic
424#14273647C2311yescharacteristic
425#14273647C2311yescharacteristic
426(C2×D59)⋊C8C2311yescharacteristic
427(C2×D59)⋊C8C2311yescharacteristic
428(C2×D59)⋊C8C2311yescharacteristic
429(C2×D59)⋊C8C2311yescharacteristic
430#14273638C2311yescharacteristic
431#14273638C2311yescharacteristic
432#14273637C2311yescharacteristic
433#14273637C2311yescharacteristic
434C4×C59⋊C8C2311yescharacteristic
435C4×C59⋊C8C2311yescharacteristic
436C8×Dic59C2311yescharacteristic
437C8×Dic59C2311yescharacteristic
438C2×#41×C59—21no—
439C22×D4×C59C2311yescharacteristic
440C23×C4×C59—21no—
441C2×D8×C59C2311yescharacteristic
442C2×D8×C59C2311yescharacteristic
443C2×D8×C59C2311yescharacteristic
444C2×D8×C59C2311yescharacteristic
445C4⋊Q8×C59C2311yescharacteristic
446#127×C59C2311yescharacteristic
447#124×C59—21no—
448#121×C59—21no—
449#121×C59C2311yescharacteristic
450#121×C59C2311yescharacteristic
451C4×D4×C59—21no—
452C4×D4×C59—21no—
453C4×D4×C59—21no—
454C4×D4×C59C2311yescharacteristic
455C4×D4×C59C2311yescharacteristic
456C4×D4×C59C2311yescharacteristic
457C4×D4×C59C2311yescharacteristic
458C4×D4×C59C2311yescharacteristic
459C4×D4×C59C2311yescharacteristic
460C2×C4⋊C4×C59C2311yescharacteristic
461C2×C22⋊C4×C59—21no—
462C2×C42×C59C2311yescharacteristic
463#107×C59C2311yescharacteristic
464#107×C59C2311yescharacteristic
465#107×C59C2311yescharacteristic
466#107×C59C2311yescharacteristic
467C4⋊C8×C59C2311yescharacteristic
468C4⋊C8×C59C2311yescharacteristic
469#102×C59C2311yescharacteristic
470#102×C59C2311yescharacteristic
471#102×C59C2311yescharacteristic
472#102×C59C2311yescharacteristic
473#102×C59C2311yescharacteristic
474#102×C59C2311yescharacteristic
475#102×C59C2311yescharacteristic
476#102×C59C2311yescharacteristic
477C22⋊C8×C59C2311yescharacteristic
478C22⋊C8×C59C2311yescharacteristic
479C4×C8×C59C2311yescharacteristic
480C4×C8×C59C2311yescharacteristic
481C24×C59—21no—
482C23×D59—21no—
483C23×D59—21no—
484C23×D59—21no—
485#41×C59—82no—
486C2×Q8×C59—21no—
487C2×D4×C59—22no—
488C2×D4×C59—21no—
489C2×D4×C59—21no—
490C2×D4×C59—21no—
491C2×D4×C59—21no—
492C2×D4×C59—21no—
493C2×D4×C59—41no—
494C2×D4×C59C2411yescharacteristic
495C2×D4×C59C2411yescharacteristic
496C2×D4×C59C2411yescharacteristic
497C2×D4×C59C2411yescharacteristic
498C22×C4×C59—21no—
499C22×C4×C59—21no—
500C22×C4×C59—21no—
501C22×C4×C59—21no—
502C22×C4×C59—21no—
503C22×C4×C59—21no—
504C22×C4×C59—21no—
505C22×C4×C59—82no—
506C22×C4×C59C2×D411yescharacteristic
507C22×C4×C59C2×D411yescharacteristic
508C22×C4×C59C2411yescharacteristic
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—21no—
518C2×C22⋊D59—21no—
519C2×C22⋊D59—21no—
520C2×C22⋊D59—21no—
521C2×C22⋊D59—44no—
522C2×C22⋊D59C2×D411yescharacteristic
523C2×C22⋊D59C2×D411yescharacteristic
524C22×Dic59—21no—
525C22×Dic59—21no—
526C22×Dic59—21no—
527C22×Dic59—21no—
528C22×Dic59—21no—
529#11745687—22no—
530#11745687—41no—
531D4×D59—22no—
532D4×D59—22no—
533D4×D59—22no—
534D4×D59—41no—
535D4×D59—41no—
536D4×D59—41no—
537D4×D59—44no—
538#11745685—22no—
539#11745685—41no—
540#11745685—42no—
541#11745685—82no—
542C2×D236—21no—
543C2×D236C2×D411yescharacteristic
544C2×D236C2411yescharacteristic
545C2×D236C2411yescharacteristic
546C2×C4×D59—21no—
547C2×C4×D59—21no—
548C2×C4×D59—21no—
549C2×C4×D59—21no—
550C2×C4×D59—21no—
551C2×C4×D59—21no—
552C2×C4×D59—21no—
553C2×C4×D59—21no—
554C2×C4×D59—21no—
555C2×C4×D59—21no—
556C2×C4×D59—82no—
557C2×C4×D59—82no—
558C2×C4×D59—82no—
559C2×C4×D59C2×D411yescharacteristic
560C2×C4×D59C2×D411yescharacteristic
561C2×C4×D59C2×D411yescharacteristic
562C2×C4×D59C2×D411yescharacteristic
563C2×C4×D59C2411yescharacteristic
564C2×C4×D59C2411yescharacteristic
565C2×Dic118—21no—
566C2×Dic118C2×D411yescharacteristic
567C2×Dic118C2411yescharacteristic
568C2×Dic118C2411yescharacteristic
569D8×C59—22no—
570D8×C59—22no—
571D8×C59—41no—
572D8×C59—41no—
573C2×C8×C59C2411yescharacteristic
574C2×C8×C59C2411yescharacteristic
575C2×C8×C59C2411yescharacteristic
576C2×C8×C59C2411yescharacteristic
577C4⋊C4×C59—21no—
578C4⋊C4×C59—21no—
579C4⋊C4×C59C2411yescharacteristic
580C4⋊C4×C59C2411yescharacteristic
581C4⋊C4×C59C2411yescharacteristic
582C4⋊C4×C59C2411yescharacteristic
583C22⋊C4×C59—21no—
584C22⋊C4×C59—21no—
585C22⋊C4×C59—21no—
586C22⋊C4×C59—21no—
587C22⋊C4×C59—21no—
588C22⋊C4×C59—21no—
589C22⋊C4×C59—21no—
590C22⋊C4×C59—21no—
591C42×C59C2×D411yescharacteristic
592C42×C59C2×D411yescharacteristic
593C42×C59C2411yescharacteristic
594C42×C59C2411yescharacteristic
595C22⋊Dic59—21no—
596C22⋊Dic59—21no—
597C22⋊Dic59—21no—
598C22⋊Dic59—21no—
599C22⋊Dic59—21no—
600C22⋊Dic59—21no—
601C22⋊Dic59—21no—
602C22⋊Dic59—21no—
603C22⋊Dic59—21no—
604C22⋊Dic59—21no—
605C22⋊Dic59—21no—
606C22⋊Dic59—21no—
607C22⋊Dic59—21no—
608C22⋊Dic59—21no—
609C22⋊Dic59—21no—
610C22⋊Dic59—21no—
611C22⋊Dic59C2×D411yescharacteristic
612C22⋊Dic59C2×D411yescharacteristic
613#11745670—22no—
614#11745670—22no—
615#11745670—22no—
616#11745670—41no—
617#11745669—22no—
618#11745669—22no—
619#11745669—41no—
620#11745669#4114yescomplemented
621(C2×D59)⋊C4—21no—
622(C2×D59)⋊C4—21no—
623(C2×D59)⋊C4—21no—
624(C2×D59)⋊C4—21no—
625(C2×D59)⋊C4—21no—
626(C2×D59)⋊C4—21no—
627(C2×D59)⋊C4—21no—
628(C2×D59)⋊C4—21no—
629(C2×D59)⋊C4—21no—
630(C2×D59)⋊C4—21no—
631(C2×D59)⋊C4—21no—
632(C2×D59)⋊C4—21no—
633(C2×D59)⋊C4—21no—
634(C2×D59)⋊C4—21no—
635(C2×D59)⋊C4C2×D411yescharacteristic
636(C2×D59)⋊C4C2×D411yescharacteristic
637(C2×D59)⋊C4C2×D411yescharacteristic
638(C2×D59)⋊C4C2×D411yescharacteristic
639C4⋊Dic59—21no—
640C4⋊Dic59—21no—
641C4⋊Dic59—21no—
642C4⋊Dic59—21no—
643C4⋊Dic59—21no—
644C4⋊Dic59—21no—
645C4⋊Dic59C2×D411yescharacteristic
646C4⋊Dic59C2×D411yescharacteristic
647C4⋊Dic59C2411yescharacteristic
648C4⋊Dic59C2411yescharacteristic
649C4⋊Dic59C2411yescharacteristic
650C4⋊Dic59C2411yescharacteristic
651Dic59⋊C4—21no—
652Dic59⋊C4—21no—
653Dic59⋊C4—21no—
654Dic59⋊C4—21no—
655Dic59⋊C4—21no—
656Dic59⋊C4—21no—
657Dic59⋊C4—21no—
658Dic59⋊C4—21no—
659Dic59⋊C4—21no—
660Dic59⋊C4—21no—
661Dic59⋊C4—21no—
662Dic59⋊C4—21no—
663Dic59⋊C4—21no—
664Dic59⋊C4—21no—
665Dic59⋊C4C2×D411yescharacteristic
666Dic59⋊C4C2×D411yescharacteristic
667Dic59⋊C4C2×D411yescharacteristic
668Dic59⋊C4C2×D411yescharacteristic
669C4×Dic59—21no—
670C4×Dic59—21no—
671C4×Dic59—21no—
672C4×Dic59—21no—
673C4×Dic59—21no—
674C4×Dic59—21no—
675C4×Dic59C2×D411yescharacteristic
676C4×Dic59C2×D411yescharacteristic
677C4×Dic59C2×D411yescharacteristic
678C4×Dic59C2×D411yescharacteristic
679C4×Dic59C2411yescharacteristic
680C4×Dic59C2411yescharacteristic
681#11745664—22no—
682#11745664—41no—
683C2×C59⋊C8C2411yescharacteristic
684C2×C59⋊C8C2411yescharacteristic
685C2×C59⋊C8C2411yescharacteristic
686C2×C59⋊C8C2411yescharacteristic
687Dic236—41no—
688D472—22no—
689#11745660—22no—
690#11745660—41no—
691#11745659—22no—
692#11745659—41no—
693C8×D59—22no—
694C8×D59—41no—
695C23×C59—21no—
696C23×C59—21no—
697C23×C59—21no—
698C23×C59—21no—
699C23×C59—42no—
700C23×C59—42no—
701C23×C59—81no—
702C23×C59C22×D411yescharacteristic
703C22×D59—21no—
704C22×D59—21no—
705C22×D59—42no—
706C22×D59—42no—
707C22×D59—42no—
708C22×D59—42no—
709C22×D59—42no—
710C22×D59—42no—
711C22×D59—81no—
712C22×D59—81no—
713C22×D59—81no—
714C22×D59C22×D411yescharacteristic
715C22×D59C22×D411yescharacteristic
716Q8×C59—81no—
717D4×C59—21no—
718D4×C59—21no—
719D4×C59—21no—
720D4×C59—21no—
721D4×C59—21no—
722D4×C59—21no—
723D4×C59—21no—
724D4×C59—42no—
725D4×C59—42no—
726D4×C59—81no—
727D4×C59—81no—
728D4×C59—81no—
729D4×C59C2×#4112yes—
730C2×C4×C59—22no—
731C2×C4×C59—21no—
732C2×C4×C59—21no—
733C2×C4×C59—21no—
734C2×C4×C59—21no—
735C2×C4×C59—21no—
736C2×C4×C59—21no—
737C2×C4×C59—41no—
738C2×C4×C59—42no—
739C2×C4×C59—42no—
740C2×C4×C59—42no—
741C2×C4×C59—42no—
742C2×C4×C59—81no—
743C2×C4×C59—81no—
744C2×C4×C59—81no—
745C2×C4×C59C22×D411yescharacteristic
746C2×C4×C59C22×D411yescharacteristic
747C2×C4×C59C22×D411yescharacteristic
748C2×C4×C59C22×D411yescharacteristic
749C2×C4×C59C22×D411yescharacteristic
750C2×C4×C59C2511yescharacteristic
751C22⋊D59—22no—
752C22⋊D59—41no—
753C22⋊D59—42no—
754C22⋊D59—42no—
755C22⋊D59—42no—
756C22⋊D59—42no—
757C22⋊D59—42no—
758C22⋊D59—42no—
759C22⋊D59—42no—
760C22⋊D59—42no—
761C22⋊D59—42no—
762C22⋊D59—42no—
763C22⋊D59—81no—
764C22⋊D59—81no—
765C2×Dic59—21no—
766C2×Dic59—21no—
767C2×Dic59—21no—
768C2×Dic59—21no—
769C2×Dic59—21no—
770C2×Dic59—21no—
771C2×Dic59—42no—
772C2×Dic59—42no—
773C2×Dic59—81no—
774C2×Dic59—81no—
775C2×Dic59—81no—
776C2×Dic59C22×D411yescharacteristic
777C2×Dic59C22×D411yescharacteristic
778C2×Dic59C22×D411yescharacteristic
779C2×Dic59C22×D411yescharacteristic
780C2×Dic59C22×D411yescharacteristic
781C2×Dic59C22×D411yescharacteristic
782D236—22no—
783D236—21no—
784D236—21no—
785D236—21no—
786D236—81no—
787D236C2×#4112yes—
788C4×D59—22no—
789C4×D59—22no—
790C4×D59—22no—
791C4×D59—21no—
792C4×D59—21no—
793C4×D59—21no—
794C4×D59—21no—
795C4×D59—41no—
796C4×D59—42no—
797C4×D59—42no—
798C4×D59—42no—
799C4×D59—42no—
800C4×D59—81no—
801C4×D59—81no—
802C4×D59—81no—
803C4×D59—81no—
804C4×D59—81no—
805C4×D59—81no—
806Dic118—21no—
807Dic118—21no—
808Dic118—21no—
809Dic118—21no—
810Dic118—41no—
811Dic118—81no—
812C8×C59—21no—
813C8×C59—21no—
814C8×C59—21no—
815C8×C59—21no—
816C59⋊C8—21no—
817C59⋊C8—21no—
818C59⋊C8—21no—
819C59⋊C8C2×#4112yes—
820#61444—591nomaximal, Sylow
821C22×C59—22no—
822C22×C59—21no—
823C22×C59—21no—
824C22×C59—21no—
825C22×C59—41no—
826C22×C59—41no—
827C22×C59—41no—
828C22×C59—41no—
829C22×C59—41no—
830C22×C59—41no—
831C22×C59—41no—
832C22×C59—41no—
833C22×C59—41no—
834C22×C59—41no—
835C22×C59—41no—
836C22×C59—84no—
837C22×C59C23×D411yescharacteristic
838C2×D59—21no—
839C2×D59—21no—
840C2×D59—21no—
841C2×D59—22no—
842C2×D59—21no—
843C2×D59—21no—
844C2×D59—41no—
845C2×D59—41no—
846C2×D59—41no—
847C2×D59—41no—
848C2×D59—41no—
849C2×D59—84no—
850C2×D59—84no—
851C2×D59—84no—
852C2×D59#57512yes—
853C4×C59—21no—
854C4×C59—21no—
855C4×C59—21no—
856C4×C59—21no—
857C4×C59—41no—
858C4×C59—41no—
859C4×C59—41no—
860C4×C59—41no—
861C4×C59#57612yes—
862C4×C59C22×#4111yescharacteristic
863C4×C59#58511yescharacteristic
864Dic59—21no—
865Dic59—21no—
866Dic59—21no—
867Dic59—21no—
868Dic59—21no—
869Dic59—21no—
870Dic59—41no—
871Dic59—41no—
872Dic59—41no—
873Dic59—41no—
874Dic59—41no—
875Dic59—41no—
876#3481—591no—
877#3481—591no—
878#3403—591no—
879#3389—591no—
880#3370—591no—
881#3370—591no—
882#3355—591no—
883#3346—591no—
884#3346—591no—
885#3322—591no—
886#3322—591no—
887#3318—591no—
888#3318—591no—
889#3314—591no—
890#3314—591no—
891#3273—591no—
892#3264—591no—
893#3264—591no—
894#3171—591no—
895#3171—591no—
896#3168—591no—
897#3105—591no—
898#3105—591no—
899#3102—591no—
900#3102—591no—
901#3100—591no—
902#3100D5911yescharacteristic, complemented
903#2965—591no—
904C4×AGL(1,ℤ/8)—591no—
905C4×AGL(1,ℤ/8)—591no—
906C2×C4×D8—591no—
907C2×C59—42no—
908C2×C59—41no—
909C2×C59—81no—
910C2×C59—81no—
911C2×C59—81no—
912C2×C59D4×#4111yescharacteristic
913C2×C59C2×#57511yescharacteristic
914C2×C59C2×#57611yescharacteristic
915D59—22no—
916D59—41no—
917D59—42no—
918D59—81no—
919C2×AGL(1,ℤ/8)—591no—
920C2×AGL(1,ℤ/8)—591no—
921C22×D8—591no—
922#559—591no—
923#559—591no—
924#554—591no—
925#554—591no—
926#554—591no—
927#554—591no—
928#553—591no—
929#553—591no—
930#553—591no—
931#553—591no—
932#553—1181no—
933#553—1181no—
934#551—1181no—
935#551—1181no—
936#551—1181no—
937#551—1181no—
938#546—591no—
939#546—591no—
940#546—591no—
941#546—591no—
942#546—1181no—
943#546—1181no—
944D42—591no—
945D42—591no—
946#532—591no—
947#532C2×D5911yescharacteristic, complemented
948#529—591no—
949#529—591no—
950#529—591no—
951#529—591no—
952#529—1181no—
953#529—1181no—
954#525—1181no—
955#525—1181no—
956#525—1181no—
957#525—1181no—
958C4×#41—591no—
959C4×#41—591no—
960C4×#41—591no—
961C2×C4×D4—591no—
962C2×C4×D4—591no—
963C2×C4×D4—591no—
964C2×C4×D4—1181no—
965C2×C4×D4—1181no—
966C2×C4×D4C2×D5911yescharacteristic, complemented
967#501—591no—
968#501—591no—
969#499—591no—
970#496—591no—
971#496—591no—
972#495—591no—
973#490—591no—
974#490—591no—
975#489—591no—
976#489—591no—
977#488—591no—
978#488—591no—
979#485—591no—
980#485—591no—
981#484—591no—
982#484—591no—
983#482—591no—
984#482—591no—
985#481—591no—
986#481—591no—
987#480—591no—
988#480—591no—
989#480C2×D5911yescharacteristic, complemented
990#480C2×D5911yescharacteristic, complemented
991#479—591no—
992#479—591no—
993#478—591no—
994#478—591no—
995#478—591no—
996#478—591no—
997#478—591no—
998#478—591no—
999#474—591no—
1000#474—591no—
1001#474C2×D5911yescharacteristic, complemented
1002#474C2×D5911yescharacteristic, complemented
1003#469—591no—
1004#469—591no—
1005#469—591no—
1006#469—591no—
1007#468—591no—
1008#468—591no—
1009#468—591no—
1010#468—591no—
1011#467—591no—
1012#466—591no—
1013#465—591no—
1014#465—591no—
1015#464—591no—
1016#464—591no—
1017#463—591no—
1018#463—591no—
1019#463—591no—
1020#463—591no—
1021#463—591no—
1022#463—591no—
1023#459—591no—
1024#459—591no—
1025#459C2×D5911yescharacteristic
1026#459C2×D5911yescharacteristic, complemented
1027#452—591no—
1028#452—591no—
1029#450—591no—
1030#450—591no—
1031#449—591no—
1032#449—591no—
1033#447—591no—
1034#447—591no—
1035#447—591no—
1036#447—591no—
1037#447C2×D5911yescharacteristic, complemented
1038#447C2×D5911yescharacteristic, complemented
1039#446—591no—
1040#446—591no—
1041#442—591no—
1042#442—591no—
1043#442—591no—
1044#442—591no—
1045#440—591no—
1046#440—591no—
1047#440—591no—
1048#440—591no—
1049C4×Q16—591no—
1050C4×SD16—591no—
1051C4×SD16—591no—
1052C4×SD16—591no—
1053C4×SD16—591no—
1054C4×SD16—591no—
1055C4×SD16—591no—
1056C4×D8—591no—
1057C4×D8—591no—
1058C4×D8—591no—
1059C4×D8—591no—
1060C4×D8—591no—
1061C4×D8—591no—
1062C4×D8—591no—
1063C4×D8—591no—
1064C4×D8—591no—
1065C4×D8C2×D5911yescharacteristic, complemented
1066C4×D8C2×D5911yescharacteristic, complemented
1067C4×D8C2×D5911yescharacteristic, complemented
1068C4×D8C2×D5911yescharacteristic, complemented
1069#436—591no—
1070#436—591no—
1071#435—591no—
1072#435—591no—
1073#435—591no—
1074#435—591no—
1075#431—591no—
1076#431—591no—
1077#431C2×D5911yescharacteristic, complemented
1078#428—591no—
1079#428—591no—
1080C2×#107—591no—
1081#418—591no—
1082#418—591no—
1083#417—591no—
1084#417—591no—
1085C2×#102—591no—
1086C2×#102—591no—
1087C4×M16—591no—
1088C4×M16—591no—
1089C2×C4×C8—591no—
1090C59#6144411yescharacteristic, complemented, Sylow
1091C2×#41—21no—
1092C2×#41—591no—
1093C2×#41—591no—
1094C2×#41—591no—
1095C2×#41—1181no—
1096C22×D4—591no—
1097C22×D4—591no—
1098C22×D4—591no—
1099C22×D4—1181no—
1100C22×D4—1181no—
1101C22×D4C22×D5911yescharacteristic
1102C23×C4—21no—
1103C23×C4—1181no—
1104C23×C4—1181no—
1105C23×C4—1181no—
1106AGL(1,ℤ/8)—1184no—
1107AGL(1,ℤ/8)—1184no—
1108C2×Q16—591no—
1109C2×SD16—591no—
1110C2×SD16—591no—
1111C2×SD16—591no—
1112C2×SD16—591no—
1113C2×SD16—591no—
1114C2×SD16—591no—
1115C2×D8—591no—
1116C2×D8—591no—
1117C2×D8—591no—
1118C2×D8—591no—
1119C2×D8—591no—
1120C2×D8—1184no—
1121C2×D8C22×D5911yescharacteristic
1122C2×D8C22×D5911yescharacteristic
1123C2×D8C22×D5911yescharacteristic
1124C2×D8C22×D5911yescharacteristic
1125C2×M16—591no—
1126C2×M16—591no—
1127C2×M16—591no—
1128C2×M16—591no—
1129C22×C8—591no—
1130C22×C8—591no—
1131C4⋊Q8—591no—
1132C4⋊Q8C22×D5911yescharacteristic
1133#127—591no—
1134#127C22×D5911yescharacteristic
1135#126—1181no—
1136#126—1181no—
1137#126—1181no—
1138#126—1181no—
1139#126—1181no—
1140#126—1181no—
1141#126—1181no—
1142#126—1181no—
1143#125—591no—
1144#125—591no—
1145#125—591no—
1146#125—591no—
1147#125—1181no—
1148#125—1181no—
1149#124—21no—
1150#124—591no—
1151#124—591no—
1152#124—591no—
1153#124—591no—
1154#124—1181no—
1155#124—1181no—
1156#124—1181no—
1157#123—1181no—
1158#123—1181no—
1159#123—1181no—
1160#123—1181no—
1161#123—1181no—
1162#123—1181no—
1163#123—1181no—
1164#123—1181no—
1165#123—1181no—
1166#123—1181no—
1167#123—1181no—
1168#123—1181no—
1169#123—1181no—
1170#123—1181no—
1171#123—1181no—
1172#123—1181no—
1173C22⋊Q8—591no—
1174C22⋊Q8—591no—
1175C22⋊Q8—591no—
1176C22⋊Q8—591no—
1177C22⋊Q8—1181no—
1178C22⋊Q8—1181no—
1179C22⋊Q8—1181no—
1180C22⋊Q8—1181no—
1181C22⋊Q8—1181no—
1182C22⋊Q8—1181no—
1183C22⋊Q8—1181no—
1184C22⋊Q8—1181no—
1185C22⋊Q8—1181no—
1186C22⋊Q8—1181no—
1187#121—21no—
1188#121—591no—
1189#121—591no—
1190#121—591no—
1191#121—591no—
1192#121—591no—
1193#121—591no—
1194#121—1181no—
1195#121—1181no—
1196#121—1181no—
1197#121—1181no—
1198#121—1181no—
1199#121—1181no—
1200#121—1181no—
1201#121—1181no—
1202#121—1181no—
1203#121—1181no—
1204#121—1181no—
1205#121C22×D5911yescharacteristic
1206#121C22×D5911yescharacteristic
1207#120—1181no—
1208#120—1181no—
1209#120—1181no—
1210#120—1181no—
1211#120—1181no—
1212#120—1181no—
1213#120—1181no—
1214#120—1181no—
1215C4×Q8—591no—
1216C4×Q8—591no—
1217C4×Q8—591no—
1218C4×Q8—591no—
1219C4×Q8—591no—
1220C4×Q8—591no—
1221C4×D4—21no—
1222C4×D4—21no—
1223C4×D4—21no—
1224C4×D4—591no—
1225C4×D4—591no—
1226C4×D4—591no—
1227C4×D4—591no—
1228C4×D4—591no—
1229C4×D4—591no—
1230C4×D4—591no—
1231C4×D4—591no—
1232C4×D4—591no—
1233C4×D4—591no—
1234C4×D4—591no—
1235C4×D4—591no—
1236C4×D4—591no—
1237C4×D4—591no—
1238C4×D4—591no—
1239C4×D4—591no—
1240C4×D4—1181no—
1241C4×D4—1181no—
1242C4×D4—1181no—
1243C4×D4—1181no—
1244C4×D4—1181no—
1245C4×D4—1181no—
1246C4×D4—1181no—
1247C4×D4—1181no—
1248C4×D4—1181no—
1249C4×D4—1181no—
1250C4×D4—1181no—
1251C4×D4—1181no—
1252C4×D4—1181no—
1253C4×D4—1181no—
1254C4×D4—1181no—
1255C4×D4—1181no—
1256C4×D4—1181no—
1257C4×D4—1181no—
1258C4×D4—1181no—
1259C4×D4—1181no—
1260C4×D4—1181no—
1261C4×D4—1181no—
1262C4×D4—1181no—
1263C4×D4C22×D5911yescharacteristic
1264C4×D4C22×D5911yescharacteristic
1265C4×D4C22×D5911yescharacteristic
1266C4×D4C22×D5911yescharacteristic
1267C4×D4C22×D5911yescharacteristic
1268C4×D4C22×D5911yescharacteristic
1269#117—591no—
1270#117—591no—
1271#117—591no—
1272#117—591no—
1273#117—591no—
1274#117—1181no—
1275#117—1181no—
1276#117—1181no—
1277#117—1181no—
1278#117—1181no—
1279#117—1181no—
1280C2×C4⋊C4—591no—
1281C2×C4⋊C4—591no—
1282C2×C4⋊C4—591no—
1283C2×C4⋊C4—1181no—
1284C2×C4⋊C4—1181no—
1285C2×C4⋊C4C22×D5911yescharacteristic
1286C2×C22⋊C4—21no—
1287C2×C22⋊C4—1181no—
1288C2×C22⋊C4—1181no—
1289C2×C22⋊C4—1181no—
1290C2×C22⋊C4—1181no—
1291C2×C22⋊C4—1181no—
1292C2×C22⋊C4—1181no—
1293C2×C22⋊C4—1181no—
1294C2×C42—591no—
1295C2×C42—591no—
1296C2×C42—1181no—
1297C2×C42—1181no—
1298C2×C42C22×D5911yescharacteristic
1299#107—591no—
1300#107—591no—
1301#107—591no—
1302#107—591no—
1303#107—591no—
1304#107—591no—
1305#107C22×D5911yescharacteristic
1306#107C22×D5911yescharacteristic
1307#107C22×D5911yescharacteristic
1308#107C22×D5911yescharacteristic
1309#106—591no—
1310#106—591no—
1311#106—591no—
1312#106—591no—
1313#106—591no—
1314#106—591no—
1315C4⋊C8—591no—
1316C4⋊C8—591no—
1317C4⋊C8—591no—
1318C4⋊C8—591no—
1319C4⋊C8C22×D5911yescharacteristic
1320C4⋊C8C22×D5911yescharacteristic
1321#103—591no—
1322#103—591no—
1323#103—591no—
1324#103—591no—
1325#103—591no—
1326#103—591no—
1327#103—591no—
1328#103—591no—
1329#102—591no—
1330#102—591no—
1331#102—591no—
1332#102—591no—
1333#102—591no—
1334#102—591no—
1335#102—591no—
1336#102—591no—
1337#102—591no—
1338#102—591no—
1339#102—591no—
1340#102—591no—
1341#102—591no—
1342#102—591no—
1343#102—591no—
1344#102—591no—
1345#102C22×D5911yescharacteristic
1346#102C22×D5911yescharacteristic
1347#102C22×D5911yescharacteristic
1348#102C22×D5911yescharacteristic
1349#102C22×D5911yescharacteristic
1350#102C22×D5911yescharacteristic
1351#102C22×D5911yescharacteristic
1352#102C22×D5911yescharacteristic
1353C22⋊C8—591no—
1354C22⋊C8—591no—
1355C22⋊C8—591no—
1356C22⋊C8—591no—
1357C22⋊C8C22×D5911yescharacteristic
1358C22⋊C8C22×D5911yescharacteristic
1359#97—591no—
1360#97—591no—
1361#97—591no—
1362#97—591no—
1363C4×C8—591no—
1364C4×C8—591no—
1365C4×C8—591no—
1366C4×C8—591no—
1367C4×C8C22×D5911yescharacteristic
1368C4×C8C22×D5911yescharacteristic
1369C24—21no—
1370C24—1181no—
1371C24—1181no—
1372C24—1181no—
1373#41—82no—
1374#41—1182no—
1375#41—1182no—
1376#41—4722no—
1377#41—2361no—
1378#41—2362no—
1379#41—2361no—
1380C2×Q8—21no—
1381C2×Q8—591no—
1382C2×Q8—591no—
1383C2×Q8—591no—
1384C2×Q8—1181no—
1385C2×D4—22no—
1386C2×D4—21no—
1387C2×D4—21no—
1388C2×D4—21no—
1389C2×D4—21no—
1390C2×D4—21no—
1391C2×D4—41no—
1392C2×D4—591no—
1393C2×D4—591no—
1394C2×D4—591no—
1395C2×D4—591no—
1396C2×D4—591no—
1397C2×D4—1181no—
1398C2×D4—1181no—
1399C2×D4—1181no—
1400C2×D4—1181no—
1401C2×D4—1181no—
1402C2×D4—1181no—
1403C2×D4—1182no—
1404C2×D4—1182no—
1405C2×D4—1182no—
1406C2×D4—1181no—
1407C2×D4—1181no—
1408C2×D4—1181no—
1409C2×D4—1181no—
1410C2×D4—1181no—
1411C2×D4—1181no—
1412C2×D4—1181no—
1413C2×D4—2361no—
1414C2×D4—2361no—
1415C2×D4—2361no—
1416C2×D4—2364no—
1417C2×D4—2364no—
1418C2×D4C23×D5911yescharacteristic
1419C2×D4C23×D5911yescharacteristic
1420C2×D4C23×D5911yescharacteristic
1421C2×D4C23×D5911yescharacteristic
1422C22×C4—21no—
1423C22×C4—21no—
1424C22×C4—21no—
1425C22×C4—21no—
1426C22×C4—21no—
1427C22×C4—21no—
1428C22×C4—21no—
1429C22×C4—82no—
1430C22×C4—591no—
1431C22×C4—591no—
1432C22×C4—591no—
1433C22×C4—591no—
1434C22×C4—591no—
1435C22×C4—591no—
1436C22×C4—1181no—
1437C22×C4—1181no—
1438C22×C4—1181no—
1439C22×C4—1181no—
1440C22×C4—1181no—
1441C22×C4—1181no—
1442C22×C4—1181no—
1443C22×C4—1181no—
1444C22×C4—1181no—
1445C22×C4—1181no—
1446C22×C4—1181no—
1447C22×C4—1181no—
1448C22×C4—1181no—
1449C22×C4—1181no—
1450C22×C4—1181no—
1451C22×C4—4722no—
1452C22×C4—4722no—
1453C22×C4—4722no—
1454C22×C4D4×D5911yescharacteristic
1455C22×C4D4×D5911yescharacteristic
1456C22×C4C23×D5911yescharacteristic
1457Q16—2361no—
1458SD16—1182no—
1459SD16—1182no—
1460SD16—1182no—
1461SD16—1182no—
1462SD16—2361no—
1463SD16—2361no—
1464D8—22no—
1465D8—22no—
1466D8—41no—
1467D8—41no—
1468D8—594no—
1469D8—1182no—
1470D8—1182no—
1471D8—1182no—
1472D8—2361no—
1473M16—1182no—
1474M16—1182no—
1475M16—2361no—
1476M16—2361no—
1477C2×C8—591no—
1478C2×C8—591no—
1479C2×C8—591no—
1480C2×C8—591no—
1481C2×C8—1182no—
1482C2×C8—2361no—
1483C2×C8C23×D5911yescharacteristic
1484C2×C8C23×D5911yescharacteristic
1485C2×C8C23×D5911yescharacteristic
1486C2×C8C23×D5911yescharacteristic
1487C4⋊C4—21no—
1488C4⋊C4—21no—
1489C4⋊C4—591no—
1490C4⋊C4—591no—
1491C4⋊C4—591no—
1492C4⋊C4—591no—
1493C4⋊C4—591no—
1494C4⋊C4—591no—
1495C4⋊C4—591no—
1496C4⋊C4—591no—
1497C4⋊C4—591no—
1498C4⋊C4—591no—
1499C4⋊C4—1181no—
1500C4⋊C4—1181no—
1501C4⋊C4—1181no—
1502C4⋊C4—1181no—
1503C4⋊C4—1181no—
1504C4⋊C4—1181no—
1505C4⋊C4—1181no—
1506C4⋊C4—1181no—
1507C4⋊C4—1181no—
1508C4⋊C4—1181no—
1509C4⋊C4—1181no—
1510C4⋊C4—1181no—
1511C4⋊C4—1181no—
1512C4⋊C4—1181no—
1513C4⋊C4—1181no—
1514C4⋊C4—1181no—
1515C4⋊C4—1181no—
1516C4⋊C4—1181no—
1517C4⋊C4—1181no—
1518C4⋊C4—1181no—
1519C4⋊C4C23×D5911yescharacteristic
1520C4⋊C4C23×D5911yescharacteristic
1521C4⋊C4C23×D5911yescharacteristic
1522C4⋊C4C23×D5911yescharacteristic
1523C22⋊C4—21no—
1524C22⋊C4—21no—
1525C22⋊C4—21no—
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—591no—
1532C22⋊C4—591no—
1533C22⋊C4—591no—
1534C22⋊C4—591no—
1535C22⋊C4—591no—
1536C22⋊C4—591no—
1537C22⋊C4—1181no—
1538C22⋊C4—1181no—
1539C22⋊C4—1181no—
1540C22⋊C4—1181no—
1541C22⋊C4—1181no—
1542C22⋊C4—1181no—
1543C22⋊C4—1181no—
1544C22⋊C4—1181no—
1545C22⋊C4—1181no—
1546C22⋊C4—1181no—
1547C22⋊C4—1181no—
1548C22⋊C4—1181no—
1549C22⋊C4—1181no—
1550C22⋊C4—1181no—
1551C22⋊C4—1181no—
1552C22⋊C4—1181no—
1553C22⋊C4—1181no—
1554C22⋊C4—1181no—
1555C22⋊C4—1181no—
1556C22⋊C4—1181no—
1557C22⋊C4—1181no—
1558C22⋊C4—1181no—
1559C22⋊C4—1181no—
1560C22⋊C4—1181no—
1561C22⋊C4—1181no—
1562C22⋊C4—1181no—
1563C22⋊C4—1181no—
1564C22⋊C4—1181no—
1565C22⋊C4—1181no—
1566C22⋊C4—1181no—
1567C42—591no—
1568C42—591no—
1569C42—591no—
1570C42—591no—
1571C42—591no—
1572C42—591no—
1573C42—1181no—
1574C42—1181no—
1575C42—1181no—
1576C42—1181no—
1577C42—1181no—
1578C42—1181no—
1579C42D4×D5911yescharacteristic
1580C42D4×D5911yescharacteristic
1581C42C23×D5911yescharacteristic
1582C42C23×D5911yescharacteristic
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—42no—
1588C23—42no—
1589C23—81no—
1590C23—591no—
1591C23—591no—
1592C23—1181no—
1593C23—1181no—
1594C23—4721no—
1595C23—4721no—
1596C23—4721no—
1597C23—2362no—
1598C23—2362no—
1599C23—2362no—
1600C23—2362no—
1601C23—2362no—
1602C23—2362no—
1603C23C2×D4×D5911yescharacteristic
1604Q8—81no—
1605Q8—1181no—
1606Q8—1181no—
1607Q8—1181no—
1608Q8—1181no—
1609Q8—4721no—
1610Q8—2361no—
1611D4—21no—
1612D4—21no—
1613D4—21no—
1614D4—21no—
1615D4—21no—
1616D4—21no—
1617D4—21no—
1618D4—42no—
1619D4—42no—
1620D4—81no—
1621D4—81no—
1622D4—81no—
1623D4—592no—
1624D4—1182no—
1625D4—1182no—
1626D4—1181no—
1627D4—1181no—
1628D4—1181no—
1629D4—4721no—
1630D4—4721no—
1631D4—4721no—
1632D4—2361no—
1633D4—2362no—
1634D4—2362no—
1635D4—2362no—
1636D4—2362no—
1637D4—2362no—
1638D4—2362no—
1639D4—2362no—
1640D4—2362no—
1641D4—2362no—
1642D4—2362no—
1643D4#41×D5912yes—
1644C2×C4—22no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—41no—
1652C2×C4—42no—
1653C2×C4—42no—
1654C2×C4—42no—
1655C2×C4—42no—
1656C2×C4—81no—
1657C2×C4—81no—
1658C2×C4—81no—
1659C2×C4—591no—
1660C2×C4—591no—
1661C2×C4—591no—
1662C2×C4—591no—
1663C2×C4—591no—
1664C2×C4—591no—
1665C2×C4—1182no—
1666C2×C4—1182no—
1667C2×C4—1182no—
1668C2×C4—1181no—
1669C2×C4—1181no—
1670C2×C4—1181no—
1671C2×C4—1181no—
1672C2×C4—1181no—
1673C2×C4—1181no—
1674C2×C4—1181no—
1675C2×C4—1181no—
1676C2×C4—1181no—
1677C2×C4—1181no—
1678C2×C4—4721no—
1679C2×C4—4721no—
1680C2×C4—4721no—
1681C2×C4—4721no—
1682C2×C4—4721no—
1683C2×C4—4721no—
1684C2×C4—4721no—
1685C2×C4—4721no—
1686C2×C4—4721no—
1687C2×C4—2361no—
1688C2×C4—2362no—
1689C2×C4—2362no—
1690C2×C4—2362no—
1691C2×C4—2362no—
1692C2×C4—2362no—
1693C2×C4—2362no—
1694C2×C4C2×D4×D5911yescharacteristic
1695C2×C4C2×D4×D5911yescharacteristic
1696C2×C4C2×D4×D5911yescharacteristic
1697C2×C4C2×D4×D5911yescharacteristic
1698C2×C4C2×D4×D5911yescharacteristic
1699C2×C4C24×D5911yescharacteristic
1700C8—21no—
1701C8—21no—
1702C8—21no—
1703C8—21no—
1704C8—592no—
1705C8—1181no—
1706C8—1181no—
1707C8—1181no—
1708C22—21no—
1709C22—21no—
1710C22—21no—
1711C22—22no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—84no—
1724C22—592no—
1725C22—1181no—
1726C22—1181no—
1727C22—1181no—
1728C22—1181no—
1729C22—1181no—
1730C22—1182no—
1731C22—4724no—
1732C22—4724no—
1733C22—4724no—
1734C22—2361no—
1735C22—2361no—
1736C22—2361no—
1737C22—2361no—
1738C22—2361no—
1739C22C22×D4×D5911yescharacteristic
1740C4—21no—
1741C4—21no—
1742C4—21no—
1743C4—21no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—41no—
1748C4—1181no—
1749C4—1181no—
1750C4—1181no—
1751C4—1181no—
1752C4—1181no—
1753C4—1181no—
1754C4—2361no—
1755C4—2361no—
1756C4—2361no—
1757C4—2361no—
1758C4—2361no—
1759C4—2361no—
1760C4#1683820312yes—
1761C4C2×#41×D5911yescharacteristic
1762C4#1683823811yescharacteristic
1763C2—41no—
1764C2—42no—
1765C2—81no—
1766C2—81no—
1767C2—81no—
1768C2—1182no—
1769C2—4721no—
1770C2—2361no—
1771C2—2362no—
1772C2#2143757911yescharacteristic
1773C2#575×D5911yescharacteristic
1774C2C2×#1683820311yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3100C2
socleC22×C59C23×D4
hypercenter#3100D59
hypocenterC59#61444
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ #3100

Complements

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

NH ≅ G/Ntype
1. #21437704C2semidirect
2. #21437700C2semidirect
3. #21437179C2semidirect
4. #21437049C2semidirect
5. #21436856C2semidirect
6. #21436842C2semidirect
7. #21436702C2semidirect
8. #21436584C2semidirect
9. #21436578C2semidirect
10. #21436301C2semidirect
11. #21436300C2semidirect
12. #21436244C2semidirect
13. #21436230C2semidirect
14. #21436180C2semidirect
15. #21436174C2semidirect
16. #21435707C2semidirect
17. #21435574C2semidirect
18. #21435571C2semidirect
19. #21434689C2semidirect
20. #21434685C2semidirect
21. #21434664C2semidirect
22. #21434141C2semidirect
23. #21434141C2semidirect
24. #21434116C2semidirect
25. #21434110C2semidirect
26. #21434094C2semidirect
27. #21433060C2semidirect
28. C4×#14273753C2semidirect
29. C4×#14273751C2semidirect
30. C4×D8×D59C2semidirect
31. C59×#3100C2semidirect
35. #16838138C22semidirect
36. #16838135C22semidirect
37. #16838113C22semidirect
38. #16838113C22semidirect
39. #16838111C22semidirect
40. #16838107C22semidirect
43. #16838100C22semidirect
46. #16838099C22semidirect
53. #16838049C22semidirect
55. #16838046C22semidirect
57. #16838037C22semidirect
58. D4×C22⋊D59C22semidirect
59. #16837949C22semidirect
60. #16837936C22semidirect
62. #16837934C22semidirect
63. #16837934C22semidirect
64. #16837934C22semidirect
71. C4×#11745685C22semidirect
72. C4×#11745687C22semidirect
75. C4×D4×D59C22semidirect
76. C4×D4×D59C22semidirect
77. C4×D4×D59C22semidirect
78. #16837810C22semidirect
79. #16837808C22semidirect
80. #16837803C22semidirect
81. #16837790C22semidirect
82. #16837789C22semidirect
83. #16837785C22semidirect
84. #16837766C22semidirect
85. #16837765C22semidirect
86. #16837764C22semidirect
87. #16837760C22semidirect
88. #16837755C22semidirect
89. #16837755C22semidirect
90. #16837745C22semidirect
91. #16837744C22semidirect
92. #16837739C22semidirect
93. #16837739C22semidirect
94. #16837727C22semidirect
95. #16837724C22semidirect
96. #16837719C22semidirect
97. #16837719C22semidirect
98. #16837717C22semidirect
99. #16837714C22semidirect
100. #16837710C22semidirect
101. #16837708C22semidirect
102. #16837705C22semidirect
103. #16837705C22semidirect
104. #16837704C22semidirect
105. #16837704C22semidirect
106. #16837703C22semidirect
107. #16837700C22semidirect
108. #16837681C22semidirect
109. #16837680C22semidirect
110. #16837654C22semidirect
111. #16837653C22semidirect
112. #16837653C22semidirect
113. #16837652C22semidirect
114. #16837649C22semidirect
115. #16837647C22semidirect
116. #16837646C22semidirect
117. #16837646C22semidirect
118. #16837644C22semidirect
120. #16837630C22semidirect
121. #16837630C22semidirect
122. #16837625C22semidirect
123. #16837623C22semidirect
124. #16837618C22semidirect
125. #16837616C22semidirect
126. #16837616C22semidirect
127. #16837615C22semidirect
128. #16837615C22semidirect
129. #16837615C22semidirect
131. #16837595C22semidirect
132. #16837566C22semidirect
133. #16837565C22semidirect
134. #16837554C22semidirect
135. #16837554C22semidirect
138. #16837537C22semidirect
141. #16837534C22semidirect
142. #16837531C22semidirect
143. #16837531C22semidirect
144. #16837514C22semidirect
146. #16837512C22semidirect
148. #16837502C22semidirect
149. #16837502C22semidirect
150. #16837501C22semidirect
151. #16837499C22semidirect
152. C4×Dic236C22semidirect
153. C4×#11745660C22semidirect
154. C4×#11745660C22semidirect
155. C4×#11745670C22semidirect
156. C4×#11745670C22semidirect
157. C4×#11745670C22semidirect
158. C4×#11745670C22semidirect
159. C4×D472C22semidirect
160. D8×Dic59C22semidirect
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. #16837443C22semidirect
177. #16837442C22semidirect
178. #107×D59C22semidirect
179. #16837407C22semidirect
180. #16837405C22semidirect
181. #16837401C22semidirect
182. #16837400C22semidirect
183. #102×D59C22semidirect
184. #102×D59C22semidirect
185. C4×#11745664C22semidirect
186. C4×#11745659C22semidirect
187. C4×C8×D59C22semidirect
188. C59×#532C22semidirect
189. C2×C4×D4×C59C22semidirect
190. C59×#480C22semidirect
191. C59×#480C22semidirect
192. C59×#474C22semidirect
193. C59×#474C22semidirect
195. C59×#459C22semidirect
196. C59×#447C22semidirect
197. C59×#447C22semidirect
198. C4×D8×C59C22semidirect
199. C4×D8×C59C22semidirect
200. C4×D8×C59C22semidirect
201. C4×D8×C59C22semidirect
202. C59×#431C22semidirect
620. #11745669#41semidirect
902. #3100D59semidirect
947. #532C2×D59semidirect
966. C2×C4×D4C2×D59semidirect
989. #480C2×D59semidirect
990. #480C2×D59semidirect
1001. #474C2×D59semidirect
1002. #474C2×D59semidirect
1026. #459C2×D59semidirect
1037. #447C2×D59semidirect
1038. #447C2×D59semidirect
1065. C4×D8C2×D59semidirect
1066. C4×D8C2×D59semidirect
1067. C4×D8C2×D59semidirect
1068. C4×D8C2×D59semidirect
1077. #431C2×D59semidirect
1090. C59#61444semidirect

Maximal subgroups

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

subgroupindex
#214377042
#214377002
#214371792
#214370492
#214368562
#214368422
#214367022
#214365842
#214365782
#214363012
#214363002
#214362442
#214362302
#214361802
#214361742
#214357072
#214355742
#214355712
#214346892
#214346852
#214346642
#214341412
#214341162
#214341102
#214340942
#214330602
C4×#142737532
C4×#142737512
C4×D8×D592
C59×#31002
#6144459