Finite Group Databasebeta

← #29474121

Subgroups — #29474121

Order 15104.

2180 conjugacy classes of subgroups.

The subgroup lattice has 1916 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438121C211yesmaximal, characteristic, complemented
2#547×D59C211yesmaximal, characteristic, complemented
3#21436410C211yesmaximal, characteristic, complemented
4#21436408C211yesmaximal, characteristic, complemented
5#21436071C211yesmaximal, characteristic, complemented
6#21436069C211yesmaximal, characteristic, complemented
7#21436066C211yesmaximal, characteristic, complemented
8#21436022C211yesmaximal, characteristic, complemented
9#21436020C211yesmaximal, characteristic, complemented
10#21435824C211yesmaximal, characteristic, complemented
11#21435823C211yesmaximal, characteristic, complemented
12#21435693C211yesmaximal, characteristic, complemented
13#21435689C211yesmaximal, characteristic, complemented
14#21435627C211yesmaximal, characteristic, complemented
15#21435626C211yesmaximal, characteristic, complemented
16#21435623C211yesmaximal, characteristic, complemented
17#21435622C211yesmaximal, characteristic, complemented
18#21435124C211yesmaximal, characteristic, complemented
19#21435020C211yesmaximal, characteristic, complemented
20#21434930C211yesmaximal, characteristic, complemented
21#21434921C211yesmaximal, characteristic, complemented
22#21434852C211yesmaximal, characteristic, complemented
23#21434848C211yesmaximal, characteristic, complemented
24#21434185C211yesmaximal, characteristic, complemented
25#21434148C211yesmaximal, characteristic, complemented
26#21433349C211yesmaximal, characteristic, complemented
27#21433345C211yesmaximal, characteristic, complemented
28#21433316C211yesmaximal, characteristic, complemented
29#21433311C211yesmaximal, characteristic, complemented
30#21433126C211yesmaximal, characteristic, complemented
31C59×#3307C211yesmaximal, characteristic, complemented
32C2×#41×D59C2211yescharacteristic, complemented
33C2×#41×D59C2211yescharacteristic, complemented
34C2×#14273755C2211yescharacteristic, complemented
35C2×#14273754C2211yescharacteristic, complemented
36C2×#14273752C2211yescharacteristic, complemented
37C2×#14273751C2211yescharacteristic, complemented
38C2×#14273749C2211yescharacteristic, complemented
39C2×#14273748C2211yescharacteristic, complemented
40C2×#14273747C2211yescharacteristic, complemented
41C2×#14273746C2211yescharacteristic, complemented
42#16838115C2211yescharacteristic, complemented
43#16838107C2211yescharacteristic, complemented
44#16838105C2211yescharacteristic, complemented
45#16838103—21no—
46#16838070C2211yescharacteristic, complemented
47#16838057C2211yescharacteristic, complemented
48#16838056C2211yescharacteristic, complemented
49#16838055C2211yescharacteristic, complemented
50#16838054C2211yescharacteristic
51#16838054C2211yescharacteristic, complemented
52#16838053—21no—
53#16838052—21no—
54#16838051C2211yescharacteristic
55#16838051C2211yescharacteristic, complemented
56#16838050—21no—
57#16838050—21no—
58#16838048—21no—
59#16838048C2211yescharacteristic, complemented
60#16838047C2211yescharacteristic, complemented
61#16838044—21no—
62#16838036—21no—
63#16838036C2211yescharacteristic, complemented
64#16838004—21no—
65#16837991—21no—
66#16837989—21no—
67#16837949C2211yescharacteristic
68C4⋊Q8×D59C2211yescharacteristic, complemented
69#16837937C2211yescharacteristic
70#16837914C2211yescharacteristic
71#16837912C2211yescharacteristic
72#123×D59—21no—
73#123×D59—21no—
74C22⋊Q8×D59C2211yescharacteristic, complemented
75C22⋊Q8×D59C2211yescharacteristic, complemented
76C2×#14273702C2211yescharacteristic
77#121×D59—21no—
78#121×D59C2211yescharacteristic
79#16837874—21no—
80C4×D4×D59C2211yescharacteristic
81C4×D4×D59C2211yescharacteristic, complemented
82C2×C4⋊C4×D59—21no—
83#16837796C2211yescharacteristic, complemented
84#16837794C2211yescharacteristic, complemented
85#16837773C2211yescharacteristic, complemented
86#16837773C2211yescharacteristic, complemented
87#16837772C2211yescharacteristic, complemented
88#16837751C2211yescharacteristic, complemented
89#16837751C2211yescharacteristic, complemented
90#16837745C2211yescharacteristic, complemented
91#16837743C2211yescharacteristic, complemented
92#16837741C2211yescharacteristic, complemented
93#16837739C2211yescharacteristic, complemented
94#16837734C2211yescharacteristic, complemented
95#16837732C2211yescharacteristic, complemented
96#16837731C2211yescharacteristic, complemented
97#16837722C2211yescharacteristic
98#16837722C2211yescharacteristic, complemented
99#16837719C2211yescharacteristic, complemented
100#16837699C2211yescharacteristic, complemented
101#16837691C2211yescharacteristic, complemented
102#16837690C2211yescharacteristic, complemented
103#16837661C2211yescharacteristic, complemented
104#16837660C2211yescharacteristic, complemented
105#16837659C2211yescharacteristic, complemented
106#16837658C2211yescharacteristic, complemented
107#16837651C2211yescharacteristic, complemented
108#16837649C2211yescharacteristic, complemented
109#16837646C2211yescharacteristic, complemented
110#16837634C2211yescharacteristic, complemented
111#16837634C2211yescharacteristic, complemented
112#16837633C2211yescharacteristic, complemented
113#16837632C2211yescharacteristic, complemented
114#16837632C2211yescharacteristic, complemented
115#16837631C2211yescharacteristic, complemented
116#16837629C2211yescharacteristic, complemented
117#16837618C2211yescharacteristic, complemented
118#16837617C2211yescharacteristic, complemented
119#16837611C2211yescharacteristic, complemented
120#16837611C2211yescharacteristic, complemented
121#16837608C2211yescharacteristic, complemented
122#16837607C2211yescharacteristic, complemented
123#16837606C2211yescharacteristic, complemented
124#16837606C2211yescharacteristic, complemented
125#16837604C2211yescharacteristic, complemented
126#16837596C2211yescharacteristic, complemented
127#16837595C2211yescharacteristic, complemented
128#16837567C2211yescharacteristic, complemented
129#16837566C2211yescharacteristic, complemented
130#16837566C2211yescharacteristic, complemented
131#16837565C2211yescharacteristic, complemented
132#16837565C2211yescharacteristic, complemented
133#16837564C2211yescharacteristic, complemented
134#16837562C2211yescharacteristic, complemented
135#16837561C2211yescharacteristic, complemented
136#16837559C2211yescharacteristic, complemented
137#16837559C2211yescharacteristic, complemented
138#16837555C2211yescharacteristic, complemented
139#16837554C2211yescharacteristic, complemented
140#16837554C2211yescharacteristic, complemented
141#16837552C2211yescharacteristic, complemented
142#16837551C2211yescharacteristic, complemented
143#16837550C2211yescharacteristic, complemented
144#16837550C2211yescharacteristic, complemented
145#16837550C2211yescharacteristic, complemented
146#16837549C2211yescharacteristic, complemented
147#16837548C2211yescharacteristic, complemented
148#16837548C2211yescharacteristic, complemented
149#16837548C2211yescharacteristic, complemented
150#16837547C2211yescharacteristic, complemented
151#16837545C2211yescharacteristic, complemented
152#16837545C2211yescharacteristic, complemented
153#16837542C2211yescharacteristic
154#16837542C2211yescharacteristic
155#16837542C2211yescharacteristic, complemented
156#16837542C2211yescharacteristic, complemented
157#16837539C2211yescharacteristic, complemented
158#16837539C2211yescharacteristic, complemented
159#16837537C2211yescharacteristic
160#16837537C2211yescharacteristic, complemented
161#16837534C2211yescharacteristic, complemented
162#16837515C2211yescharacteristic, complemented
163#16837512C2211yescharacteristic, complemented
164#16837512C2211yescharacteristic, complemented
165#16837493C2211yescharacteristic, complemented
166#16837489C2211yescharacteristic, complemented
167#16837484C2211yescharacteristic, complemented
168#16837482C2211yescharacteristic, complemented
169#16837478C2211yescharacteristic, complemented
170#16837477C2211yescharacteristic, complemented
171#16837475C2211yescharacteristic, complemented
172#16837474C2211yescharacteristic, complemented
173#16837472C2211yescharacteristic, complemented
174C8×C22⋊D59C2211yescharacteristic, complemented
175(C22⋊D59)⋊C8C2211yescharacteristic, complemented
176#16837457C2211yescharacteristic, complemented
177#16837454C2211yescharacteristic, complemented
178#16837402C2211yescharacteristic, complemented
179#16837401C2211yescharacteristic, complemented
180#16837400C2211yescharacteristic, complemented
181#16837397C2211yescharacteristic, complemented
182#16837396C2211yescharacteristic, complemented
183#16837395C2211yescharacteristic, complemented
184#16837365C2211yescharacteristic, complemented
185#16837364C2211yescharacteristic, complemented
186C2×(C2×D59)⋊C8C2211yescharacteristic, complemented
187C22⋊C8×D59C2211yescharacteristic, complemented
188C59×#553C2211yescharacteristic, complemented
189C59×#547C2211yescharacteristic, complemented
190C59×#491C2211yescharacteristic, complemented
191C59×#485C2211yescharacteristic, complemented
192C59×#483C2211yescharacteristic, complemented
193C59×#478C2211yescharacteristic, complemented
194C59×#468C2211yescharacteristic, complemented
195C59×#465C2211yescharacteristic, complemented
196C59×#461C2211yescharacteristic, complemented
197C59×#449C2211yescharacteristic, complemented
198C59×#449C2211yescharacteristic, complemented
199C59×#442C2211yescharacteristic, complemented
200C59×#435C2211yescharacteristic, complemented
201C59×#417C2211yescharacteristic, complemented
202C59×#416C2211yescharacteristic, complemented
203C2×#11745689C2311yescharacteristic
204C2×#11745689C2311yescharacteristic
205C2×#11745685—21no—
206C2×#11745685—21no—
207C2×#11745685—21no—
208C2×#11745685C2311yescharacteristic
209C2×#11745685C2311yescharacteristic
210C2×#11745685C2311yescharacteristic
211C2×#11745687—21no—
212C2×#11745687—21no—
213C2×#11745687C2311yescharacteristic
214C2×#11745687C2311yescharacteristic
215C2×#11745687C2311yescharacteristic
216#41×D59—42no—
217#41×D59—42no—
218#41×D59—42no—
219#41×D59—42no—
220C2×Q8×D59C2311yescharacteristic
221C2×Q8×D59C2311yescharacteristic
222C22×D236—21no—
223C22×D236C2311yescharacteristic
224C2×D4×D59—21no—
225C2×D4×D59—21no—
226C2×D4×D59—21no—
227C2×D4×D59—21no—
228C2×D4×D59D411yescharacteristic
229C2×D4×D59C2311yescharacteristic
230C2×D4×D59C2311yescharacteristic
231C22×C4×D59—21no—
232C22×C4×D59—21no—
233C22×C4×D59—21no—
234C22×C4×D59C2311yescharacteristic
235C22×C4×D59C2311yescharacteristic
236#14273755—42no—
237#14273754—42no—
238#14273752—42no—
239#14273751—42no—
240#14273749—42no—
241#14273748—42no—
242#14273747—42no—
243#14273746—42no—
244C2×Dic236C2311yescharacteristic
245C2×Dic236C2311yescharacteristic
246C2×#11745672C2311yescharacteristic
247C2×#11745672C2311yescharacteristic
248C2×#11745660C2311yescharacteristic
249C2×#11745660C2311yescharacteristic
250C2×#11745660C2311yescharacteristic
251C2×#11745660C2311yescharacteristic
252C2×#11745660C2311yescharacteristic
253C2×#11745670C2311yescharacteristic
254C2×#11745670C2311yescharacteristic
255C2×#11745670C2311yescharacteristic
256C2×#11745671C2311yescharacteristic
257C2×#11745671C2311yescharacteristic
258C2×#11745671C2311yescharacteristic
259C2×#11745671C2311yescharacteristic
260C2×D472C2311yescharacteristic
261C2×D472C2311yescharacteristic
262C2×#11745669C2311yescharacteristic
263C2×#11745669C2311yescharacteristic
264C2×#11745669C2311yescharacteristic
265C2×#11745664C2311yescharacteristic
266C2×#11745659C2311yescharacteristic
267C2×#11745659C2311yescharacteristic
268C22×C59⋊C8C2311yescharacteristic
269C2×C8×D59C2311yescharacteristic
270C2×C8×D59C2311yescharacteristic
271#14273727C2311yescharacteristic
272#14273726—21no—
273#14273726—21no—
274#14273726C2311yescharacteristic
275#14273725C2311yescharacteristic
276#14273725C2311yescharacteristic
277#14273723—21no—
278#14273723C2311yescharacteristic
279#14273722—21no—
280#14273722—21no—
281#14273717—21no—
282#14273715—21no—
283#14273715C2311yescharacteristic
284#14273713—21no—
285#14273713—21no—
286#14273712—21no—
287#14273712—21no—
288#14273712—21no—
289#14273712—21no—
290#14273712—21no—
291#14273712—21no—
292#14273712—21no—
293#14273711—21no—
294#14273711—21no—
295#14273711—21no—
296#14273711—21no—
297#14273710—21no—
298#14273710—21no—
299#14273709—21no—
300#14273709—21no—
301#14273709—21no—
302#14273709—21no—
303#14273709—21no—
304#14273708—21no—
305#14273708—21no—
306#14273707C2311yescharacteristic
307#14273707C2311yescharacteristic
308#14273707C2311yescharacteristic
309#14273707C2311yescharacteristic
310#14273706—21no—
311#14273706C2311yescharacteristic
312#14273706C2311yescharacteristic
313#14273706C2311yescharacteristic
314#14273705—21no—
315#14273705—21no—
316#14273705—21no—
317#14273704—21no—
318#14273704—21no—
319#14273703C2311yescharacteristic
320#14273703C2311yescharacteristic
321#14273702—21no—
322#14273702—21no—
323#14273702—21no—
324#14273702—21no—
325#14273702C2311yescharacteristic
326#14273702C2311yescharacteristic
327#14273702C2311yescharacteristic
328#14273702C2311yescharacteristic
329#14273702C2311yescharacteristic
330#14273701—21no—
331#14273701—21no—
332#14273701C2311yescharacteristic
333#14273700—21no—
334#14273700—21no—
335#14273700—21no—
336#14273700—21no—
337#14273700—21no—
338#14273700—21no—
339#14273700—21no—
340#14273700—21no—
341#14273699—21no—
342#14273699—21no—
343#14273699—21no—
344#14273699—21no—
345#14273698—21no—
346#14273698C2311yescharacteristic
347#14273697—21no—
348#14273697—21no—
349#14273697—21no—
350#14273695—21no—
351#14273695—21no—
352#14273695—21no—
353#14273692C2311yescharacteristic
354C4×D236—21no—
355C4×D236—21no—
356C4×D236C2311yescharacteristic
357C4×D236C2311yescharacteristic
358C4×D236C2311yescharacteristic
359D4×Dic59—21no—
360D4×Dic59D411yescharacteristic
361D4×Dic59C2311yescharacteristic
362#14273689—21no—
363#14273689—21no—
364#14273689D411yescharacteristic
365#14273689C2311yescharacteristic
366#14273689C2311yescharacteristic
367C4×C22⋊D59—21no—
368C4×C22⋊D59—21no—
369C4×C22⋊D59—21no—
370C4×C22⋊D59C2311yescharacteristic
371C4×C22⋊D59C2311yescharacteristic
372(C22⋊D59)⋊C4—21no—
373(C22⋊D59)⋊C4—21no—
374(C22⋊D59)⋊C4—21no—
375(C22⋊D59)⋊C4D411yescharacteristic
376(C22⋊D59)⋊C4D411yescharacteristic
377#14273685—21no—
378#14273685C2311yescharacteristic
379#14273684—21no—
380C2×C4⋊Dic59—21no—
381C2×Dic59⋊C4—21no—
382C2×Dic59⋊C4—21no—
383C4⋊C4×D59—21no—
384C4⋊C4×D59—21no—
385C4⋊C4×D59—21no—
386C4⋊C4×D59—21no—
387C4⋊C4×D59—21no—
388C4⋊C4×D59—21no—
389C4⋊C4×D59—21no—
390C4⋊C4×D59—21no—
391C4⋊C4×D59D411yescharacteristic
392C4⋊C4×D59C2311yescharacteristic
393C4⋊C4×D59C2311yescharacteristic
394C2×(C2×D59)⋊C4—21no—
395C2×(C2×D59)⋊C4—21no—
396C22⋊C4×D59—21no—
397C22⋊C4×D59—21no—
398C22⋊C4×D59—21no—
399C22⋊C4×D59—21no—
400C22⋊C4×D59—21no—
401C22⋊C4×D59D411yescharacteristic
402C22⋊C4×D59D411yescharacteristic
403C42×D59C2311yescharacteristic
404#14273660C2311yescharacteristic
405#14273659C2311yescharacteristic
406#14273658C2311yescharacteristic
407#14273658C2311yescharacteristic
408#14273658C2311yescharacteristic
409C4⋊(C59⋊C8)C2311yescharacteristic
410Dic59⋊C8C2311yescharacteristic
411Dic59⋊C8C2311yescharacteristic
412#14273652C2311yescharacteristic
413#14273652C2311yescharacteristic
414#14273652C2311yescharacteristic
415#14273651C2311yescharacteristic
416#14273651C2311yescharacteristic
417#14273650C2311yescharacteristic
418#14273650C2311yescharacteristic
419#14273650C2311yescharacteristic
420#14273650C2311yescharacteristic
421#14273650C2311yescharacteristic
422#14273650C2311yescharacteristic
423#14273650C2311yescharacteristic
424#14273649C2311yescharacteristic
425#14273649C2311yescharacteristic
426#14273649C2311yescharacteristic
427#14273648C2311yescharacteristic
428#14273648C2311yescharacteristic
429#14273647C2311yescharacteristic
430#14273647C2311yescharacteristic
431#14273647C2311yescharacteristic
432#14273647C2311yescharacteristic
433#14273647C2311yescharacteristic
434C22⋊(C59⋊C8)C2311yescharacteristic
435C22⋊(C59⋊C8)C2311yescharacteristic
436(C2×D59)⋊C8C2311yescharacteristic
437(C2×D59)⋊C8C2311yescharacteristic
438(C2×D59)⋊C8C2311yescharacteristic
439(C2×D59)⋊C8C2311yescharacteristic
440(C2×D59)⋊C8C2311yescharacteristic
441(C2×D59)⋊C8C2311yescharacteristic
442(C2×D59)⋊C8C2311yescharacteristic
443(C2×D59)⋊C8C2311yescharacteristic
444#14273638C2311yescharacteristic
445C8×Dic59C2311yescharacteristic
446C8×Dic59C2311yescharacteristic
447C2×#41×C59C2311yescharacteristic
448C2×#41×C59C2311yescharacteristic
449C2×SD16×C59C2311yescharacteristic
450C2×SD16×C59C2311yescharacteristic
451C2×D8×C59C2311yescharacteristic
452C2×M16×C59C2311yescharacteristic
453C22×C8×C59C2311yescharacteristic
454C4⋊Q8×C59C2311yescharacteristic
455#126×C59—21no—
456#125×C59C2311yescharacteristic
457#123×C59—21no—
458#123×C59—21no—
459#123×C59—21no—
460C22⋊Q8×C59C2311yescharacteristic
461C22⋊Q8×C59C2311yescharacteristic
462#121×C59—21no—
463#121×C59—21no—
464#121×C59C2311yescharacteristic
465#121×C59C2311yescharacteristic
466C4×D4×C59—21no—
467C4×D4×C59C2311yescharacteristic
468C4×D4×C59C2311yescharacteristic
469C4×D4×C59C2311yescharacteristic
470#117×C59C2311yescharacteristic
471C2×C4⋊C4×C59—21no—
472C2×C4⋊C4×C59C2311yescharacteristic
473#107×C59C2311yescharacteristic
474#106×C59C2311yescharacteristic
475#106×C59C2311yescharacteristic
476C4⋊C8×C59C2311yescharacteristic
477#103×C59C2311yescharacteristic
478#103×C59C2311yescharacteristic
479#103×C59C2311yescharacteristic
480#103×C59C2311yescharacteristic
481#103×C59C2311yescharacteristic
482#103×C59C2311yescharacteristic
483#102×C59C2311yescharacteristic
484#102×C59C2311yescharacteristic
485#102×C59C2311yescharacteristic
486#102×C59C2311yescharacteristic
487C22⋊C8×C59C2311yescharacteristic
488C22⋊C8×C59C2311yescharacteristic
489#97×C59C2311yescharacteristic
490C23×D59—21no—
491C23×D59—21no—
492C23×D59—21no—
493C23×D59C2×D411yescharacteristic
494C23×D59C2×D411yescharacteristic
495#41×C59—22no—
496#41×C59—22no—
497#41×C59—41no—
498#41×C59—41no—
499C2×Q8×C59C2411yescharacteristic
500C2×Q8×C59C2411yescharacteristic
501C2×D4×C59—21no—
502C2×D4×C59—21no—
503C2×D4×C59—21no—
504C2×D4×C59—21no—
505C2×D4×C59C2×D411yescharacteristic
506C2×D4×C59C2411yescharacteristic
507C2×D4×C59C2411yescharacteristic
508C22×C4×C59—21no—
509C22×C4×C59—21no—
510C22×C4×C59—21no—
511C22×C4×C59—21no—
512C22×C4×C59—21no—
513C22×C4×C59C2411yescharacteristic
514C22×C4×C59C2411yescharacteristic
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—21no—
527C2×C22⋊D59C2×D411yescharacteristic
528C2×C22⋊D59C2×D411yescharacteristic
529C22×Dic59—21no—
530C22×Dic59—21no—
531C22×Dic59—21no—
532C22×Dic59—21no—
533C22×Dic59C2×D411yescharacteristic
534C22×Dic59C2×D411yescharacteristic
535#11745689—22no—
536#11745689—22no—
537#11745689—41no—
538#11745689—41no—
539Q8×D59—41no—
540Q8×D59—41no—
541Q8×D59—41no—
542Q8×D59—41no—
543#11745687—22no—
544#11745687—22no—
545#11745687—41no—
546#11745687—41no—
547#11745687—41no—
548#11745687—41no—
549#11745687—44no—
550#11745687—44no—
551D4×D59—22no—
552D4×D59—22no—
553D4×D59—41no—
554D4×D59—41no—
555D4×D59—42no—
556D4×D59—44no—
557D4×D59—44no—
558D4×D59—44no—
559D4×D59—82no—
560#11745685—22no—
561#11745685—22no—
562#11745685—41no—
563#11745685—41no—
564#11745685—41no—
565#11745685—41no—
566#11745685—44no—
567#11745685—44no—
568#11745685—82no—
569C2×D236—21no—
570C2×D236—21no—
571C2×D236—21no—
572C2×D236—21no—
573C2×D236—21no—
574C2×D236—21no—
575C2×D236—21no—
576C2×D236—21no—
577C2×D236—41no—
578C2×D236—41no—
579C2×D236—82no—
580C2×D236C2×D411yescharacteristic
581C2×D236C2411yescharacteristic
582C2×D236C2411yescharacteristic
583C2×D236C2411yescharacteristic
584C2×C4×D59—21no—
585C2×C4×D59—21no—
586C2×C4×D59—21no—
587C2×C4×D59—21no—
588C2×C4×D59—21no—
589C2×C4×D59—21no—
590C2×C4×D59—21no—
591C2×C4×D59—21no—
592C2×C4×D59—21no—
593C2×C4×D59—21no—
594C2×C4×D59—21no—
595C2×C4×D59—21no—
596C2×C4×D59—21no—
597C2×C4×D59—41no—
598C2×C4×D59—41no—
599C2×C4×D59—41no—
600C2×C4×D59—41no—
601C2×C4×D59—44no—
602C2×C4×D59—44no—
603C2×C4×D59—44no—
604C2×C4×D59C2×D411yescharacteristic
605C2×C4×D59C2×D411yescharacteristic
606C2×C4×D59C2×D411yescharacteristic
607C2×C4×D59C2×D411yescharacteristic
608C2×C4×D59C2×D411yescharacteristic
609C2×C4×D59C2×D411yescharacteristic
610C2×C4×D59C2411yescharacteristic
611C2×C4×D59C2411yescharacteristic
612C2×C4×D59C2411yescharacteristic
613C2×Dic118—21no—
614C2×Dic118—21no—
615C2×Dic118—21no—
616C2×Dic118C2411yescharacteristic
617C2×Dic118C2411yescharacteristic
618C2×Dic118C2411yescharacteristic
619SD16×C59—41no—
620SD16×C59—41no—
621D8×C59—22no—
622M16×C59—41no—
623C2×C8×C59—41no—
624C2×C8×C59C2411yescharacteristic
625C2×C8×C59C2411yescharacteristic
626C2×C8×C59C2411yescharacteristic
627C2×C8×C59C2411yescharacteristic
628C4⋊C4×C59—21no—
629C4⋊C4×C59—21no—
630C4⋊C4×C59—21no—
631C4⋊C4×C59—21no—
632C4⋊C4×C59—21no—
633C4⋊C4×C59—21no—
634C4⋊C4×C59—21no—
635C4⋊C4×C59C2×D411yescharacteristic
636C4⋊C4×C59C2411yescharacteristic
637C4⋊C4×C59C2411yescharacteristic
638C4⋊C4×C59C2411yescharacteristic
639C4⋊C4×C59C2411yescharacteristic
640C22⋊C4×C59—21no—
641C22⋊C4×C59—21no—
642C22⋊C4×C59—21no—
643C22⋊C4×C59—21no—
644C22⋊C4×C59—21no—
645C22⋊C4×C59—21no—
646C22⋊C4×C59—21no—
647C22⋊C4×C59C2×D411yescharacteristic
648C22⋊C4×C59C2×D411yescharacteristic
649C42×C59—21no—
650C42×C59C2411yescharacteristic
651C22⋊Dic59—21no—
652C22⋊Dic59—21no—
653C22⋊Dic59—21no—
654C22⋊Dic59—21no—
655C22⋊Dic59—21no—
656C22⋊Dic59C2×D411yescharacteristic
657C22⋊Dic59C2×D411yescharacteristic
658#11745672—41no—
659#11745672—41no—
660#11745671—41no—
661#11745671—41no—
662#11745671—41no—
663#11745671—41no—
664#11745670—22no—
665#11745670—41no—
666#11745670—41no—
667#11745669—22no—
668#11745669—22no—
669#11745669—22no—
670(C2×D59)⋊C4—21no—
671(C2×D59)⋊C4—21no—
672(C2×D59)⋊C4—21no—
673(C2×D59)⋊C4—21no—
674(C2×D59)⋊C4—21no—
675(C2×D59)⋊C4—21no—
676(C2×D59)⋊C4—21no—
677(C2×D59)⋊C4—21no—
678(C2×D59)⋊C4—21no—
679(C2×D59)⋊C4—21no—
680(C2×D59)⋊C4—21no—
681(C2×D59)⋊C4—21no—
682(C2×D59)⋊C4—21no—
683(C2×D59)⋊C4—21no—
684(C2×D59)⋊C4—21no—
685(C2×D59)⋊C4—21no—
686(C2×D59)⋊C4—21no—
687(C2×D59)⋊C4—21no—
688(C2×D59)⋊C4—21no—
689(C2×D59)⋊C4C2×D411yescharacteristic
690(C2×D59)⋊C4C2×D411yescharacteristic
691(C2×D59)⋊C4C2×D411yescharacteristic
692(C2×D59)⋊C4C2×D411yescharacteristic
693C4⋊Dic59—21no—
694C4⋊Dic59—21no—
695C4⋊Dic59—21no—
696C4⋊Dic59—21no—
697C4⋊Dic59—21no—
698C4⋊Dic59—21no—
699C4⋊Dic59C2×D411yescharacteristic
700C4⋊Dic59C2411yescharacteristic
701C4⋊Dic59C2411yescharacteristic
702Dic59⋊C4—21no—
703Dic59⋊C4—21no—
704Dic59⋊C4—21no—
705Dic59⋊C4—21no—
706Dic59⋊C4—21no—
707Dic59⋊C4—21no—
708Dic59⋊C4—21no—
709Dic59⋊C4—21no—
710Dic59⋊C4—21no—
711Dic59⋊C4—21no—
712Dic59⋊C4—21no—
713Dic59⋊C4—21no—
714Dic59⋊C4—21no—
715Dic59⋊C4C2×D411yescharacteristic
716Dic59⋊C4C2×D411yescharacteristic
717C4×Dic59—21no—
718C4×Dic59—21no—
719C4×Dic59C2×D411yescharacteristic
720C4×Dic59C2×D411yescharacteristic
721C4×Dic59C2411yescharacteristic
722#11745664—41no—
723C2×C59⋊C8—41no—
724C2×C59⋊C8C2411yescharacteristic
725C2×C59⋊C8C2411yescharacteristic
726C2×C59⋊C8C2411yescharacteristic
727C2×C59⋊C8C2411yescharacteristic
728Dic236—41no—
729Dic236—41no—
730D472—22no—
731D472—22no—
732#11745660—22no—
733#11745660—41no—
734#11745660—41no—
735#11745660—41no—
736#11745660—41no—
737#11745659—41no—
738#11745659—41no—
739C8×D59—41no—
740C8×D59—41no—
741C23×C59—21no—
742C23×C59—21no—
743C23×C59C22×D411yescharacteristic
744C23×C59C22×D411yescharacteristic
745C22×D59—24no—
746C22×D59—21no—
747C22×D59—22no—
748C22×D59—22no—
749C22×D59—21no—
750C22×D59—21no—
751C22×D59—41no—
752C22×D59—41no—
753C22×D59—41no—
754C22×D59—41no—
755C22×D59—42no—
756C22×D59—42no—
757C22×D59—42no—
758C22×D59—42no—
759C22×D59—81no—
760C22×D59—81no—
761C22×D59—81no—
762C22×D59—81no—
763C22×D59C22×D411yescharacteristic
764C22×D59C22×D411yescharacteristic
765C22×D59C22×D411yescharacteristic
766Q8×C59—21no—
767Q8×C59—21no—
768Q8×C59—21no—
769Q8×C59—21no—
770D4×C59—21no—
771D4×C59—21no—
772D4×C59—21no—
773D4×C59—41no—
774D4×C59—42no—
775D4×C59—42no—
776D4×C59—42no—
777D4×C59—81no—
778D4×C59H(5,𝔽2)12yes—
779C2×C4×C59—21no—
780C2×C4×C59—21no—
781C2×C4×C59—21no—
782C2×C4×C59—21no—
783C2×C4×C59—21no—
784C2×C4×C59—21no—
785C2×C4×C59—21no—
786C2×C4×C59—21no—
787C2×C4×C59—21no—
788C2×C4×C59—21no—
789C2×C4×C59—42no—
790C2×C4×C59—42no—
791C2×C4×C59—42no—
792C2×C4×C59—81no—
793C2×C4×C59—81no—
794C2×C4×C59C22×D411yescharacteristic
795C2×C4×C59C22×D411yescharacteristic
796C2×C4×C59C22×D411yescharacteristic
797C2×C4×C59C22×D411yescharacteristic
798C2×C4×C59C2511yescharacteristic
799C22⋊D59—24no—
800C22⋊D59—22no—
801C22⋊D59—22no—
802C22⋊D59—42no—
803C22⋊D59—42no—
804C22⋊D59—42no—
805C22⋊D59—42no—
806C22⋊D59—42no—
807C22⋊D59—42no—
808C22⋊D59—81no—
809C22⋊D59—81no—
810C22⋊D59—81no—
811C22⋊D59—81no—
812C22⋊D59—81no—
813C2×Dic59—21no—
814C2×Dic59—21no—
815C2×Dic59—21no—
816C2×Dic59—21no—
817C2×Dic59—21no—
818C2×Dic59—41no—
819C2×Dic59—41no—
820C2×Dic59—42no—
821C2×Dic59—42no—
822C2×Dic59—42no—
823C2×Dic59—81no—
824C2×Dic59C22×D411yescharacteristic
825C2×Dic59C22×D411yescharacteristic
826C2×Dic59C22×D411yescharacteristic
827C2×Dic59C22×D411yescharacteristic
828C2×Dic59C22×D411yescharacteristic
829D236—21no—
830D236—21no—
831D236—21no—
832D236—21no—
833D236—21no—
834D236—41no—
835D236—42no—
836D236—42no—
837D236—42no—
838D236—42no—
839D236—42no—
840D236—81no—
841D236—81no—
842D236—81no—
843D236H(5,𝔽2)12yes—
844C4×D59—22no—
845C4×D59—21no—
846C4×D59—21no—
847C4×D59—21no—
848C4×D59—21no—
849C4×D59—21no—
850C4×D59—21no—
851C4×D59—22no—
852C4×D59—41no—
853C4×D59—41no—
854C4×D59—41no—
855C4×D59—41no—
856C4×D59—42no—
857C4×D59—42no—
858C4×D59—42no—
859C4×D59—42no—
860C4×D59—42no—
861C4×D59—42no—
862C4×D59—42no—
863C4×D59—42no—
864C4×D59—42no—
865C4×D59—42no—
866C4×D59—81no—
867C4×D59—81no—
868C4×D59—81no—
869Dic118—21no—
870Dic118—21no—
871Dic118—21no—
872Dic118—21no—
873Dic118—21no—
874Dic118—21no—
875Dic118—42no—
876Dic118—42no—
877Dic118—81no—
878C8×C59—21no—
879C8×C59—21no—
880C8×C59—21no—
881C8×C59—21no—
882C59⋊C8—21no—
883C59⋊C8—21no—
884C59⋊C8—21no—
885C59⋊C8—21no—
886#61604—591nomaximal, Sylow
887C22×C59—22no—
888C22×C59—21no—
889C22×C59—21no—
890C22×C59—21no—
891C22×C59—21no—
892C22×C59—21no—
893C22×C59—21no—
894C22×C59—41no—
895C22×C59—41no—
896C22×C59—41no—
897C22×C59—41no—
898C22×C59—41no—
899C22×C59C23×D411yescharacteristic
900C2×D59—21no—
901C2×D59—21no—
902C2×D59—21no—
903C2×D59—21no—
904C2×D59—22no—
905C2×D59—21no—
906C2×D59—21no—
907C2×D59—21no—
908C2×D59—21no—
909C2×D59—48no—
910C2×D59—41no—
911C2×D59—41no—
912C2×D59—41no—
913C2×D59—41no—
914C2×D59—41no—
915C2×D59—41no—
916C2×D59—41no—
917C2×D59—41no—
918C2×D59—82no—
919C2×D59—82no—
920C2×D59—162no—
921C2×D59—162no—
922C2×D59#57712yes—
923C4×C59—21no—
924C4×C59—21no—
925C4×C59—21no—
926C4×C59—21no—
927C4×C59—41no—
928C4×C59—41no—
929C4×C59—41no—
930C4×C59—41no—
931C4×C59—41no—
932C4×C59—41no—
933C4×C59C2×H(5,𝔽2)11yescharacteristic
934C4×C59C2×H(5,𝔽2)11yescharacteristic
935Dic59—21no—
936Dic59—21no—
937Dic59—21no—
938Dic59—21no—
939Dic59—41no—
940Dic59—41no—
941Dic59—41no—
942Dic59—41no—
943Dic59—41no—
944Dic59#57512yes—
945#3519—591no—
946C2×#547—591no—
947#3331—591no—
948#3331—591no—
949#3307—591no—
950#3307—591no—
951#3307—591no—
952#3307D5911yescharacteristic, complemented
953#3303—591no—
954#3303—591no—
955#3284—591no—
956#3284—591no—
957#3272—591no—
958#3272—591no—
959#3267—591no—
960#3267—591no—
961#3267—591no—
962#3267—591no—
963#3218—591no—
964#3206—591no—
965#3196—591no—
966#3196—591no—
967#3187—591no—
968#3187—591no—
969#3109—591no—
970#3105—591no—
971#3006—591no—
972#3006—591no—
973#3002—591no—
974#3002—591no—
975#2974—591no—
976C2×C59—42no—
977C2×C59—41no—
978C2×C59—41no—
979C2×C59—81no—
980C2×C59#348411yescharacteristic
981C2×C59C2×#57511yescharacteristic
982C2×C59C2×#57711yescharacteristic
983D59—22no—
984D59—41no—
985D59—41no—
986D59—42no—
987D59—81no—
988D59—81no—
989C22×#41—591no—
990C22×#41—591no—
991C2×AGL(1,ℤ/8)—591no—
992C2×AGL(1,ℤ/8)—591no—
993C2×AGL(1,ℤ/8)—591no—
994C2×AGL(1,ℤ/8)—591no—
995C2×#135—591no—
996C2×#135—591no—
997C2×#135—591no—
998C2×#135—591no—
999#555—591no—
1000#554—591no—
1001#553—591no—
1002#553—1181no—
1003#553C2×D5911yescharacteristic, complemented
1004#550—591no—
1005#547—591no—
1006#547—591no—
1007#547—591no—
1008#547—591no—
1009#547—591no—
1010#547—591no—
1011#547—591no—
1012#547—1181no—
1013#547—1181no—
1014#547—1181no—
1015#547—1181no—
1016#547C2×D5911yescharacteristic, complemented
1017#546—591no—
1018#546—591no—
1019#546—1181no—
1020#546—1181no—
1021D42—591no—
1022D42—1181no—
1023#540—1181no—
1024#538—1181no—
1025#538—1181no—
1026#532—591no—
1027C2×C4⋊Q8—591no—
1028#529—591no—
1029#525—591no—
1030#525—591no—
1031C2×#123—1181no—
1032C2×#123—1181no—
1033C2×C22⋊Q8—591no—
1034C2×C22⋊Q8—591no—
1035C2×#121—591no—
1036C2×#121—591no—
1037C2×#121—1181no—
1038#518—1181no—
1039C2×C4×D4—591no—
1040C2×C4×D4—591no—
1041C22×C4⋊C4—1181no—
1042#497—591no—
1043#497—591no—
1044#492—591no—
1045#492—591no—
1046#491—591no—
1047#491C2×D5911yescharacteristic, complemented
1048#487—591no—
1049#487—591no—
1050#485—591no—
1051#485—591no—
1052#485—591no—
1053#485C2×D5911yescharacteristic, complemented
1054#484—591no—
1055#483—591no—
1056#483—591no—
1057#483—591no—
1058#483C2×D5911yescharacteristic, complemented
1059#481—591no—
1060#481—591no—
1061#481—591no—
1062#478—591no—
1063#478C2×D5911yescharacteristic, complemented
1064#476—591no—
1065#476—591no—
1066#470—591no—
1067#470—591no—
1068#470—591no—
1069#470—591no—
1070#468—591no—
1071#468—591no—
1072#468—591no—
1073#468C2×D5911yescharacteristic, complemented
1074#465—591no—
1075#465—591no—
1076#465—591no—
1077#465—591no—
1078#465—591no—
1079#465—591no—
1080#465—591no—
1081#465C2×D5911yescharacteristic, complemented
1082#463—591no—
1083#463—591no—
1084#462—591no—
1085#462—591no—
1086#461—591no—
1087#461—591no—
1088#461—591no—
1089#461—591no—
1090#461—591no—
1091#461C2×D5911yescharacteristic, complemented
1092#459—591no—
1093#459—591no—
1094#452—591no—
1095#452—591no—
1096#452—591no—
1097#452—591no—
1098#452—591no—
1099#452—591no—
1100#452—591no—
1101#452—591no—
1102#451—591no—
1103#451—591no—
1104#450—591no—
1105#450—591no—
1106#450—591no—
1107#450—591no—
1108#450—591no—
1109#449—591no—
1110#449—591no—
1111#449—591no—
1112#449—591no—
1113#449—591no—
1114#449—591no—
1115#449—591no—
1116#449—591no—
1117#449—591no—
1118#449—591no—
1119#449C2×D5911yescharacteristic, complemented
1120#449C2×D5911yescharacteristic, complemented
1121#448—591no—
1122#448—591no—
1123#448—591no—
1124#448—591no—
1125#448—591no—
1126#448—591no—
1127#447—591no—
1128#447—591no—
1129#447—591no—
1130#442—591no—
1131#442—591no—
1132#442—591no—
1133#442C2×D5911yescharacteristic, complemented
1134C4×SD16—591no—
1135C4×SD16—591no—
1136C4×D8—591no—
1137C4×D8—591no—
1138#436—591no—
1139#436—591no—
1140#435—591no—
1141#435—591no—
1142#435—591no—
1143#435C2×D5911yescharacteristic, complemented
1144C8×D4—591no—
1145C8×D4—591no—
1146#432—591no—
1147#431—591no—
1148#417—591no—
1149#417—591no—
1150#417—591no—
1151#417C2×D5911yescharacteristic, complemented
1152#416—591no—
1153#416—591no—
1154#416—591no—
1155#416C2×D5911yescharacteristic, complemented
1156#407—591no—
1157#407—591no—
1158C2×C22⋊C8—591no—
1159C2×C22⋊C8—591no—
1160C59#6160411yescharacteristic, complemented, Sylow
1161C2×#41—591no—
1162C2×#41—591no—
1163C2×#41—591no—
1164C2×#41—591no—
1165C2×#41—591no—
1166C2×#41—591no—
1167C2×#41—591no—
1168C2×#41—591no—
1169C2×#41—1181no—
1170C2×#41—1181no—
1171C2×#41—1181no—
1172C2×#41—1181no—
1173C2×#41—1181no—
1174C2×#41—2362no—
1175C2×#41—2362no—
1176C2×#41—2362no—
1177C2×#41—2362no—
1178C2×#41C22×D5911yescharacteristic
1179C2×#41C22×D5911yescharacteristic
1180C22×Q8—591no—
1181C22×Q8—591no—
1182C22×D4—591no—
1183C22×D4—591no—
1184C22×D4—591no—
1185C22×D4—591no—
1186C22×D4—1181no—
1187C22×D4—1181no—
1188C22×D4—1181no—
1189C22×D4—1181no—
1190C22×D4—1181no—
1191C23×C4—591no—
1192C23×C4—591no—
1193C23×C4—1181no—
1194C23×C4—1181no—
1195C23×C4—1181no—
1196AGL(1,ℤ/8)—2362no—
1197AGL(1,ℤ/8)—2362no—
1198AGL(1,ℤ/8)—2362no—
1199AGL(1,ℤ/8)—2362no—
1200#135—2362no—
1201#135—2362no—
1202#135—2362no—
1203#135—2362no—
1204C2×Q16—591no—
1205C2×Q16—591no—
1206C2×Q16—591no—
1207C2×Q16—591no—
1208C2×SD16—591no—
1209C2×SD16—591no—
1210C2×SD16—591no—
1211C2×SD16—591no—
1212C2×SD16—591no—
1213C2×SD16—591no—
1214C2×SD16—591no—
1215C2×SD16—591no—
1216C2×SD16—591no—
1217C2×SD16—591no—
1218C2×SD16—591no—
1219C2×SD16—591no—
1220C2×SD16C22×D5911yescharacteristic
1221C2×SD16C22×D5911yescharacteristic
1222C2×D8—591no—
1223C2×D8—591no—
1224C2×D8—591no—
1225C2×D8—591no—
1226C2×D8—591no—
1227C2×D8C22×D5911yescharacteristic
1228C2×M16—591no—
1229C2×M16—591no—
1230C2×M16—591no—
1231C2×M16C22×D5911yescharacteristic
1232C22×C8—591no—
1233C22×C8—591no—
1234C22×C8—591no—
1235C22×C8C22×D5911yescharacteristic
1236C4⋊Q8—591no—
1237C4⋊Q8—591no—
1238C4⋊Q8—591no—
1239C4⋊Q8—591no—
1240C4⋊Q8—1181no—
1241C4⋊Q8—1181no—
1242C4⋊Q8C22×D5911yescharacteristic
1243#127—591no—
1244#127—1181no—
1245#126—21no—
1246#126—1181no—
1247#126—1181no—
1248#125—1181no—
1249#125C22×D5911yescharacteristic
1250#124—591no—
1251#124—1181no—
1252#124—1181no—
1253#124—1181no—
1254#123—21no—
1255#123—21no—
1256#123—21no—
1257#123—1181no—
1258#123—1181no—
1259#123—1181no—
1260#123—1181no—
1261#123—1181no—
1262#123—1181no—
1263#123—1181no—
1264#123—1181no—
1265#123—1181no—
1266#123—1181no—
1267#123—1181no—
1268#123—1181no—
1269#123—1181no—
1270#123—1181no—
1271#123—1181no—
1272#123—1181no—
1273#123—1181no—
1274#123—1181no—
1275#123—1181no—
1276#123—1181no—
1277C22⋊Q8—591no—
1278C22⋊Q8—591no—
1279C22⋊Q8—591no—
1280C22⋊Q8—591no—
1281C22⋊Q8—591no—
1282C22⋊Q8—591no—
1283C22⋊Q8—591no—
1284C22⋊Q8—591no—
1285C22⋊Q8—591no—
1286C22⋊Q8—1181no—
1287C22⋊Q8—1181no—
1288C22⋊Q8—1181no—
1289C22⋊Q8—1181no—
1290C22⋊Q8—1181no—
1291C22⋊Q8—1181no—
1292C22⋊Q8C22×D5911yescharacteristic
1293C22⋊Q8C22×D5911yescharacteristic
1294#121—21no—
1295#121—21no—
1296#121—591no—
1297#121—591no—
1298#121—591no—
1299#121—591no—
1300#121—591no—
1301#121—591no—
1302#121—591no—
1303#121—1181no—
1304#121—1181no—
1305#121—1181no—
1306#121—1181no—
1307#121—1181no—
1308#121—1181no—
1309#121—1181no—
1310#121—1181no—
1311#121—1181no—
1312#121—1181no—
1313#121—1181no—
1314#121—1181no—
1315#121—1181no—
1316#121—1181no—
1317#121—1181no—
1318#121—1181no—
1319#121—1181no—
1320#121—1181no—
1321#121—1181no—
1322#121C22×D5911yescharacteristic
1323#121C22×D5911yescharacteristic
1324#120—1181no—
1325#120—1181no—
1326#120—1181no—
1327#120—1181no—
1328#120—1181no—
1329#120—1181no—
1330C4×Q8—591no—
1331C4×D4—21no—
1332C4×D4—591no—
1333C4×D4—591no—
1334C4×D4—591no—
1335C4×D4—591no—
1336C4×D4—591no—
1337C4×D4—591no—
1338C4×D4—591no—
1339C4×D4—591no—
1340C4×D4—591no—
1341C4×D4—591no—
1342C4×D4—591no—
1343C4×D4—591no—
1344C4×D4—1181no—
1345C4×D4—1181no—
1346C4×D4—1181no—
1347C4×D4—1181no—
1348C4×D4—1181no—
1349C4×D4—1181no—
1350C4×D4—1181no—
1351C4×D4—1181no—
1352C4×D4—1181no—
1353C4×D4—1181no—
1354C4×D4—1181no—
1355C4×D4C22×D5911yescharacteristic
1356C4×D4C22×D5911yescharacteristic
1357C4×D4C22×D5911yescharacteristic
1358#117—591no—
1359#117—1181no—
1360#117—1181no—
1361#117C22×D5911yescharacteristic
1362C2×C4⋊C4—21no—
1363C2×C4⋊C4—591no—
1364C2×C4⋊C4—591no—
1365C2×C4⋊C4—591no—
1366C2×C4⋊C4—1181no—
1367C2×C4⋊C4—1181no—
1368C2×C4⋊C4—1181no—
1369C2×C4⋊C4—1181no—
1370C2×C4⋊C4—1181no—
1371C2×C4⋊C4—1181no—
1372C2×C4⋊C4—1181no—
1373C2×C4⋊C4—1181no—
1374C2×C4⋊C4—1181no—
1375C2×C4⋊C4—1181no—
1376C2×C4⋊C4—1181no—
1377C2×C4⋊C4C22×D5911yescharacteristic
1378C2×C22⋊C4—591no—
1379C2×C22⋊C4—591no—
1380C2×C22⋊C4—1181no—
1381C2×C22⋊C4—1181no—
1382C2×C22⋊C4—1181no—
1383C2×C22⋊C4—1181no—
1384C2×C22⋊C4—1181no—
1385C2×C22⋊C4—1181no—
1386C2×C22⋊C4—1181no—
1387C2×C42—591no—
1388#107—591no—
1389#107C22×D5911yescharacteristic
1390#106—591no—
1391#106—591no—
1392#106—591no—
1393#106—591no—
1394#106C22×D5911yescharacteristic
1395#106C22×D5911yescharacteristic
1396C4⋊C8—591no—
1397C4⋊C8—591no—
1398C4⋊C8—591no—
1399C4⋊C8C22×D5911yescharacteristic
1400#103—591no—
1401#103—591no—
1402#103—591no—
1403#103—591no—
1404#103—591no—
1405#103—591no—
1406#103—591no—
1407#103—591no—
1408#103—591no—
1409#103—591no—
1410#103—591no—
1411#103—591no—
1412#103C22×D5911yescharacteristic
1413#103C22×D5911yescharacteristic
1414#103C22×D5911yescharacteristic
1415#103C22×D5911yescharacteristic
1416#103C22×D5911yescharacteristic
1417#103C22×D5911yescharacteristic
1418#102—591no—
1419#102—591no—
1420#102—591no—
1421#102—591no—
1422#102—591no—
1423#102—591no—
1424#102—591no—
1425#102—591no—
1426#102—591no—
1427#102—591no—
1428#102C22×D5911yescharacteristic
1429#102C22×D5911yescharacteristic
1430#102C22×D5911yescharacteristic
1431#102C22×D5911yescharacteristic
1432C22⋊C8—591no—
1433C22⋊C8—591no—
1434C22⋊C8—591no—
1435C22⋊C8—591no—
1436C22⋊C8—591no—
1437C22⋊C8—591no—
1438C22⋊C8—591no—
1439C22⋊C8—591no—
1440C22⋊C8—591no—
1441C22⋊C8—591no—
1442C22⋊C8C22×D5911yescharacteristic
1443C22⋊C8C22×D5911yescharacteristic
1444#97—591no—
1445#97C22×D5911yescharacteristic
1446C4×C8—591no—
1447C4×C8—591no—
1448C24—591no—
1449C24—591no—
1450C24—1181no—
1451C24—1181no—
1452C24—1181no—
1453#41—22no—
1454#41—22no—
1455#41—41no—
1456#41—41no—
1457#41—1182no—
1458#41—1182no—
1459#41—1182no—
1460#41—1182no—
1461#41—1182no—
1462#41—1182no—
1463#41—4722no—
1464#41—2361no—
1465#41—2361no—
1466#41—2361no—
1467#41—2361no—
1468#41—2364no—
1469#41—2364no—
1470#41—2361no—
1471#41—2361no—
1472#41—2361no—
1473#41—2361no—
1474#41—2361no—
1475#41—2361no—
1476#41—2364no—
1477#41—2364no—
1478C2×Q8—591no—
1479C2×Q8—591no—
1480C2×Q8—591no—
1481C2×Q8—1181no—
1482C2×Q8—1181no—
1483C2×Q8—1181no—
1484C2×Q8—2361no—
1485C2×Q8—2361no—
1486C2×Q8—2361no—
1487C2×Q8—2361no—
1488C2×Q8C23×D5911yescharacteristic
1489C2×Q8C23×D5911yescharacteristic
1490C2×D4—21no—
1491C2×D4—21no—
1492C2×D4—21no—
1493C2×D4—21no—
1494C2×D4—591no—
1495C2×D4—591no—
1496C2×D4—591no—
1497C2×D4—591no—
1498C2×D4—591no—
1499C2×D4—591no—
1500C2×D4—1181no—
1501C2×D4—1181no—
1502C2×D4—1181no—
1503C2×D4—1181no—
1504C2×D4—1181no—
1505C2×D4—1181no—
1506C2×D4—1181no—
1507C2×D4—1181no—
1508C2×D4—1181no—
1509C2×D4—1181no—
1510C2×D4—1181no—
1511C2×D4—1182no—
1512C2×D4—1182no—
1513C2×D4—1181no—
1514C2×D4—1181no—
1515C2×D4—1181no—
1516C2×D4—1181no—
1517C2×D4—1181no—
1518C2×D4—1181no—
1519C2×D4—1181no—
1520C2×D4—1181no—
1521C2×D4—1181no—
1522C2×D4—4722no—
1523C2×D4—4722no—
1524C2×D4—2361no—
1525C2×D4—2361no—
1526C2×D4—2361no—
1527C2×D4—2361no—
1528C2×D4—2362no—
1529C2×D4—2364no—
1530C2×D4—2364no—
1531C2×D4—2364no—
1532C2×D4D4×D5911yescharacteristic
1533C2×D4C23×D5911yescharacteristic
1534C2×D4C23×D5911yescharacteristic
1535C22×C4—21no—
1536C22×C4—21no—
1537C22×C4—21no—
1538C22×C4—21no—
1539C22×C4—21no—
1540C22×C4—591no—
1541C22×C4—591no—
1542C22×C4—591no—
1543C22×C4—591no—
1544C22×C4—591no—
1545C22×C4—591no—
1546C22×C4—591no—
1547C22×C4—591no—
1548C22×C4—591no—
1549C22×C4—591no—
1550C22×C4—591no—
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—
1567C22×C4—1181no—
1568C22×C4—2361no—
1569C22×C4—2361no—
1570C22×C4—2361no—
1571C22×C4—2361no—
1572C22×C4—2364no—
1573C22×C4—2364no—
1574C22×C4—2364no—
1575C22×C4C23×D5911yescharacteristic
1576C22×C4C23×D5911yescharacteristic
1577Q16—2361no—
1578Q16—2361no—
1579Q16—2361no—
1580Q16—2361no—
1581SD16—41no—
1582SD16—41no—
1583SD16—1182no—
1584SD16—1182no—
1585SD16—2361no—
1586SD16—2361no—
1587SD16—2361no—
1588SD16—2361no—
1589SD16—2361no—
1590SD16—2361no—
1591SD16—2361no—
1592SD16—2361no—
1593SD16—2361no—
1594SD16—2361no—
1595D8—22no—
1596D8—1182no—
1597D8—1182no—
1598D8—1182no—
1599D8—1182no—
1600D8—1182no—
1601M16—41no—
1602M16—2361no—
1603M16—2361no—
1604M16—2361no—
1605C2×C8—41no—
1606C2×C8—591no—
1607C2×C8—591no—
1608C2×C8—591no—
1609C2×C8—591no—
1610C2×C8—2361no—
1611C2×C8—2361no—
1612C2×C8—2361no—
1613C2×C8C23×D5911yescharacteristic
1614C2×C8C23×D5911yescharacteristic
1615C2×C8C23×D5911yescharacteristic
1616C2×C8C23×D5911yescharacteristic
1617C4⋊C4—21no—
1618C4⋊C4—21no—
1619C4⋊C4—21no—
1620C4⋊C4—21no—
1621C4⋊C4—21no—
1622C4⋊C4—21no—
1623C4⋊C4—21no—
1624C4⋊C4—591no—
1625C4⋊C4—591no—
1626C4⋊C4—591no—
1627C4⋊C4—591no—
1628C4⋊C4—591no—
1629C4⋊C4—1181no—
1630C4⋊C4—1181no—
1631C4⋊C4—1181no—
1632C4⋊C4—1181no—
1633C4⋊C4—1181no—
1634C4⋊C4—1181no—
1635C4⋊C4—1181no—
1636C4⋊C4—1181no—
1637C4⋊C4—1181no—
1638C4⋊C4—1181no—
1639C4⋊C4—1181no—
1640C4⋊C4—1181no—
1641C4⋊C4—1181no—
1642C4⋊C4—1181no—
1643C4⋊C4—1181no—
1644C4⋊C4—1181no—
1645C4⋊C4—1181no—
1646C4⋊C4—1181no—
1647C4⋊C4—1181no—
1648C4⋊C4D4×D5911yescharacteristic
1649C4⋊C4C23×D5911yescharacteristic
1650C4⋊C4C23×D5911yescharacteristic
1651C4⋊C4C23×D5911yescharacteristic
1652C4⋊C4C23×D5911yescharacteristic
1653C22⋊C4—21no—
1654C22⋊C4—21no—
1655C22⋊C4—21no—
1656C22⋊C4—21no—
1657C22⋊C4—21no—
1658C22⋊C4—21no—
1659C22⋊C4—21no—
1660C22⋊C4—591no—
1661C22⋊C4—591no—
1662C22⋊C4—591no—
1663C22⋊C4—591no—
1664C22⋊C4—591no—
1665C22⋊C4—591no—
1666C22⋊C4—1181no—
1667C22⋊C4—1181no—
1668C22⋊C4—1181no—
1669C22⋊C4—1181no—
1670C22⋊C4—1181no—
1671C22⋊C4—1181no—
1672C22⋊C4—1181no—
1673C22⋊C4—1181no—
1674C22⋊C4—1181no—
1675C22⋊C4—1181no—
1676C22⋊C4—1181no—
1677C22⋊C4—1181no—
1678C22⋊C4—1181no—
1679C22⋊C4—1181no—
1680C22⋊C4—1181no—
1681C22⋊C4—1181no—
1682C22⋊C4—1181no—
1683C22⋊C4—1181no—
1684C22⋊C4—1181no—
1685C22⋊C4—1181no—
1686C22⋊C4—1181no—
1687C22⋊C4—1181no—
1688C22⋊C4—1181no—
1689C22⋊C4—1181no—
1690C22⋊C4D4×D5911yescharacteristic
1691C22⋊C4D4×D5911yescharacteristic
1692C42—21no—
1693C42—591no—
1694C42—591no—
1695C42—591no—
1696C42—1181no—
1697C42—1181no—
1698C42C23×D5911yescharacteristic
1699C23—21no—
1700C23—21no—
1701C23—591no—
1702C23—591no—
1703C23—591no—
1704C23—1182no—
1705C23—1182no—
1706C23—1184no—
1707C23—1181no—
1708C23—1181no—
1709C23—1181no—
1710C23—4721no—
1711C23—4721no—
1712C23—4721no—
1713C23—4721no—
1714C23—2361no—
1715C23—2361no—
1716C23—2361no—
1717C23—2361no—
1718C23—2362no—
1719C23—2362no—
1720C23—2362no—
1721C23—2362no—
1722C23C2×D4×D5911yescharacteristic
1723C23C2×D4×D5911yescharacteristic
1724Q8—21no—
1725Q8—21no—
1726Q8—21no—
1727Q8—21no—
1728Q8—1181no—
1729Q8—1181no—
1730Q8—1181no—
1731Q8—1181no—
1732Q8—1181no—
1733Q8—1181no—
1734Q8—4721no—
1735Q8—2362no—
1736Q8—2362no—
1737D4—21no—
1738D4—21no—
1739D4—21no—
1740D4—41no—
1741D4—42no—
1742D4—42no—
1743D4—42no—
1744D4—81no—
1745D4—592no—
1746D4—1182no—
1747D4—1182no—
1748D4—1184no—
1749D4—1181no—
1750D4—1181no—
1751D4—1181no—
1752D4—1181no—
1753D4—1181no—
1754D4—4721no—
1755D4—4721no—
1756D4—4721no—
1757D4—4721no—
1758D4—4721no—
1759D4—4721no—
1760D4—4721no—
1761D4—4721no—
1762D4—2361no—
1763D4—2362no—
1764D4—2362no—
1765D4—2362no—
1766D4—2362no—
1767D4—2362no—
1768D4—2362no—
1769D4—2362no—
1770D4—2362no—
1771D4—2362no—
1772D4—2362no—
1773D4—2362no—
1774D4#1427377312yes—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—21no—
1781C2×C4—21no—
1782C2×C4—21no—
1783C2×C4—21no—
1784C2×C4—21no—
1785C2×C4—42no—
1786C2×C4—42no—
1787C2×C4—42no—
1788C2×C4—81no—
1789C2×C4—81no—
1790C2×C4—591no—
1791C2×C4—591no—
1792C2×C4—591no—
1793C2×C4—591no—
1794C2×C4—591no—
1795C2×C4—1182no—
1796C2×C4—1182no—
1797C2×C4—1181no—
1798C2×C4—1181no—
1799C2×C4—1181no—
1800C2×C4—1181no—
1801C2×C4—1181no—
1802C2×C4—1181no—
1803C2×C4—1181no—
1804C2×C4—1181no—
1805C2×C4—1181no—
1806C2×C4—1181no—
1807C2×C4—1181no—
1808C2×C4—4721no—
1809C2×C4—4721no—
1810C2×C4—4721no—
1811C2×C4—4721no—
1812C2×C4—2361no—
1813C2×C4—2361no—
1814C2×C4—2361no—
1815C2×C4—2361no—
1816C2×C4—2362no—
1817C2×C4—2362no—
1818C2×C4—2362no—
1819C2×C4—2362no—
1820C2×C4—2362no—
1821C2×C4—2362no—
1822C2×C4—2362no—
1823C2×C4—2362no—
1824C2×C4—2362no—
1825C2×C4—2362no—
1826C2×C4—2362no—
1827C2×C4—2361no—
1828C2×C4—2361no—
1829C2×C4—2362no—
1830C2×C4—2362no—
1831C2×C4C2×D4×D5911yescharacteristic
1832C2×C4C2×D4×D5911yescharacteristic
1833C2×C4C2×D4×D5911yescharacteristic
1834C2×C4C2×D4×D5911yescharacteristic
1835C2×C4C24×D5911yescharacteristic
1836C8—21no—
1837C8—21no—
1838C8—21no—
1839C8—21no—
1840C8—1181no—
1841C8—1181no—
1842C8—1181no—
1843C8—1181no—
1844C22—21no—
1845C22—21no—
1846C22—22no—
1847C22—21no—
1848C22—21no—
1849C22—21no—
1850C22—21no—
1851C22—41no—
1852C22—41no—
1853C22—41no—
1854C22—41no—
1855C22—41no—
1856C22—592no—
1857C22—1181no—
1858C22—1181no—
1859C22—1181no—
1860C22—1181no—
1861C22—1182no—
1862C22—1181no—
1863C22—1181no—
1864C22—1181no—
1865C22—1181no—
1866C22—9442no—
1867C22—9442no—
1868C22—4722no—
1869C22—4722no—
1870C22—2368no—
1871C22—2361no—
1872C22—2361no—
1873C22—2361no—
1874C22—2361no—
1875C22—2361no—
1876C22—2361no—
1877C22—2361no—
1878C22—2361no—
1879C22C22×D4×D5911yescharacteristic
1880C4—21no—
1881C4—21no—
1882C4—21no—
1883C4—21no—
1884C4—41no—
1885C4—41no—
1886C4—41no—
1887C4—41no—
1888C4—41no—
1889C4—41no—
1890C4—592no—
1891C4—1181no—
1892C4—1181no—
1893C4—1181no—
1894C4—1181no—
1895C4—2361no—
1896C4—2361no—
1897C4—2361no—
1898C4—2361no—
1899C4—2361no—
1900C4H(5,𝔽2)×D5911yescharacteristic
1901C4C2×#1427377311yescharacteristic
1902C2—41no—
1903C2—41no—
1904C2—42no—
1905C2—81no—
1906C2—1182no—
1907C2—4721no—
1908C2—4721no—
1909C2—2361no—
1910C2—2361no—
1911C2—2362no—
1912C2#2143772611yescharacteristic
1913C2#575×D5911yescharacteristic
1914C2#577×D5911yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3307C2
socleC22×C59C23×D4
hypercenter#3307D59
hypocenterC59#61604
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3307

Complements

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

NH ≅ G/Ntype
1. #21438121C2semidirect
2. #547×D59C2semidirect
3. #21436410C2semidirect
4. #21436408C2semidirect
5. #21436071C2semidirect
6. #21436069C2semidirect
7. #21436066C2semidirect
8. #21436022C2semidirect
9. #21436020C2semidirect
10. #21435824C2semidirect
11. #21435823C2semidirect
12. #21435693C2semidirect
13. #21435689C2semidirect
14. #21435627C2semidirect
15. #21435626C2semidirect
16. #21435623C2semidirect
17. #21435622C2semidirect
18. #21435124C2semidirect
19. #21435020C2semidirect
20. #21434930C2semidirect
21. #21434921C2semidirect
22. #21434852C2semidirect
23. #21434848C2semidirect
24. #21434185C2semidirect
25. #21434148C2semidirect
26. #21433349C2semidirect
27. #21433345C2semidirect
28. #21433316C2semidirect
29. #21433311C2semidirect
30. #21433126C2semidirect
31. C59×#3307C2semidirect
32. C2×#41×D59C22semidirect
33. C2×#41×D59C22semidirect
34. C2×#14273755C22semidirect
35. C2×#14273754C22semidirect
36. C2×#14273752C22semidirect
37. C2×#14273751C22semidirect
38. C2×#14273749C22semidirect
39. C2×#14273748C22semidirect
40. C2×#14273747C22semidirect
41. C2×#14273746C22semidirect
42. #16838115C22semidirect
43. #16838107C22semidirect
44. #16838105C22semidirect
46. #16838070C22semidirect
47. #16838057C22semidirect
48. #16838056C22semidirect
49. #16838055C22semidirect
51. #16838054C22semidirect
55. #16838051C22semidirect
59. #16838048C22semidirect
60. #16838047C22semidirect
63. #16838036C22semidirect
68. C4⋊Q8×D59C22semidirect
74. C22⋊Q8×D59C22semidirect
75. C22⋊Q8×D59C22semidirect
81. C4×D4×D59C22semidirect
83. #16837796C22semidirect
84. #16837794C22semidirect
85. #16837773C22semidirect
86. #16837773C22semidirect
87. #16837772C22semidirect
88. #16837751C22semidirect
89. #16837751C22semidirect
90. #16837745C22semidirect
91. #16837743C22semidirect
92. #16837741C22semidirect
93. #16837739C22semidirect
94. #16837734C22semidirect
95. #16837732C22semidirect
96. #16837731C22semidirect
98. #16837722C22semidirect
99. #16837719C22semidirect
100. #16837699C22semidirect
101. #16837691C22semidirect
102. #16837690C22semidirect
103. #16837661C22semidirect
104. #16837660C22semidirect
105. #16837659C22semidirect
106. #16837658C22semidirect
107. #16837651C22semidirect
108. #16837649C22semidirect
109. #16837646C22semidirect
110. #16837634C22semidirect
111. #16837634C22semidirect
112. #16837633C22semidirect
113. #16837632C22semidirect
114. #16837632C22semidirect
115. #16837631C22semidirect
116. #16837629C22semidirect
117. #16837618C22semidirect
118. #16837617C22semidirect
119. #16837611C22semidirect
120. #16837611C22semidirect
121. #16837608C22semidirect
122. #16837607C22semidirect
123. #16837606C22semidirect
124. #16837606C22semidirect
125. #16837604C22semidirect
126. #16837596C22semidirect
127. #16837595C22semidirect
128. #16837567C22semidirect
129. #16837566C22semidirect
130. #16837566C22semidirect
131. #16837565C22semidirect
132. #16837565C22semidirect
133. #16837564C22semidirect
134. #16837562C22semidirect
135. #16837561C22semidirect
136. #16837559C22semidirect
137. #16837559C22semidirect
138. #16837555C22semidirect
139. #16837554C22semidirect
140. #16837554C22semidirect
141. #16837552C22semidirect
142. #16837551C22semidirect
143. #16837550C22semidirect
144. #16837550C22semidirect
145. #16837550C22semidirect
146. #16837549C22semidirect
147. #16837548C22semidirect
148. #16837548C22semidirect
149. #16837548C22semidirect
150. #16837547C22semidirect
151. #16837545C22semidirect
152. #16837545C22semidirect
155. #16837542C22semidirect
156. #16837542C22semidirect
157. #16837539C22semidirect
158. #16837539C22semidirect
160. #16837537C22semidirect
161. #16837534C22semidirect
162. #16837515C22semidirect
163. #16837512C22semidirect
164. #16837512C22semidirect
165. #16837493C22semidirect
166. #16837489C22semidirect
167. #16837484C22semidirect
168. #16837482C22semidirect
169. #16837478C22semidirect
170. #16837477C22semidirect
171. #16837475C22semidirect
172. #16837474C22semidirect
173. #16837472C22semidirect
174. C8×C22⋊D59C22semidirect
175. (C22⋊D59)⋊C8C22semidirect
176. #16837457C22semidirect
177. #16837454C22semidirect
178. #16837402C22semidirect
179. #16837401C22semidirect
180. #16837400C22semidirect
181. #16837397C22semidirect
182. #16837396C22semidirect
183. #16837395C22semidirect
184. #16837365C22semidirect
185. #16837364C22semidirect
186. C2×(C2×D59)⋊C8C22semidirect
187. C22⋊C8×D59C22semidirect
188. C59×#553C22semidirect
189. C59×#547C22semidirect
190. C59×#491C22semidirect
191. C59×#485C22semidirect
192. C59×#483C22semidirect
193. C59×#478C22semidirect
194. C59×#468C22semidirect
195. C59×#465C22semidirect
196. C59×#461C22semidirect
197. C59×#449C22semidirect
198. C59×#449C22semidirect
199. C59×#442C22semidirect
200. C59×#435C22semidirect
201. C59×#417C22semidirect
202. C59×#416C22semidirect
952. #3307D59semidirect
1003. #553C2×D59semidirect
1016. #547C2×D59semidirect
1047. #491C2×D59semidirect
1053. #485C2×D59semidirect
1058. #483C2×D59semidirect
1063. #478C2×D59semidirect
1073. #468C2×D59semidirect
1081. #465C2×D59semidirect
1091. #461C2×D59semidirect
1119. #449C2×D59semidirect
1120. #449C2×D59semidirect
1133. #442C2×D59semidirect
1143. #435C2×D59semidirect
1151. #417C2×D59semidirect
1155. #416C2×D59semidirect
1160. C59#61604semidirect

Maximal subgroups

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

subgroupindex
#214381212
#547×D592
#214364102
#214364082
#214360712
#214360692
#214360662
#214360222
#214360202
#214358242
#214358232
#214356932
#214356892
#214356272
#214356262
#214356232
#214356222
#214351242
#214350202
#214349302
#214349212
#214348522
#214348482
#214341852
#214341482
#214333492
#214333452
#214333162
#214333112
#214331262
C59×#33072
#6160459