Finite Group Databasebeta

← #29475935

Subgroups — #29475935

Order 15104.

2110 conjugacy classes of subgroups.

The subgroup lattice has 1918 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438462C211yesmaximal, characteristic, complemented
2#21437886C211yesmaximal, characteristic, complemented
3#21436356C211yesmaximal, characteristic, complemented
4#21436304C211yesmaximal, characteristic, complemented
5#21436161C211yesmaximal, characteristic, complemented
6#21436131C211yesmaximal, characteristic, complemented
7#21436086C211yesmaximal, characteristic, complemented
8#21436056C211yesmaximal, characteristic, complemented
9#21436005C211yesmaximal, characteristic, complemented
10#21435953C211yesmaximal, characteristic, complemented
11#21435809C211yesmaximal, characteristic, complemented
12#21435776C211yesmaximal, characteristic, complemented
13#21435733C211yesmaximal, characteristic, complemented
14#21435702C211yesmaximal, characteristic, complemented
15#21435680C211yesmaximal, characteristic, complemented
16#21435635C211yesmaximal, characteristic, complemented
17#21435590C211yesmaximal, characteristic, complemented
18#21435575C211yesmaximal, characteristic, complemented
19#21435061C211yesmaximal, characteristic, complemented
20#21434974C211yesmaximal, characteristic, complemented
21#21434966C211yesmaximal, characteristic, complemented
22#21434959C211yesmaximal, characteristic, complemented
23#21434944C211yesmaximal, characteristic, complemented
24#21434207C211yesmaximal, characteristic, complemented
25#21434150C211yesmaximal, characteristic, complemented
26#21433406C211yesmaximal, characteristic, complemented
27#21433395C211yesmaximal, characteristic, complemented
28#21433377C211yesmaximal, characteristic, complemented
29#21433359C211yesmaximal, characteristic, complemented
30#21433174C211yesmaximal, characteristic, complemented
31C59×#3213C211yesmaximal, characteristic, complemented
32C2×#14273775C2211yescharacteristic, complemented
33C2×#14273772C2211yescharacteristic, complemented
34C2×#14273756C2211yescharacteristic, complemented
35C2×#14273754C2211yescharacteristic, complemented
36C2×#14273751C2211yescharacteristic
37C2×#14273751C2211yescharacteristic, complemented
38C2×#14273748C2211yescharacteristic, complemented
39C2×#14273746C2211yescharacteristic, complemented
40C2×SD16×D59C2211yescharacteristic, complemented
41C2×D8×D59C2211yescharacteristic
42#16838140—21no—
43#16838140—21no—
44#16838126C2211yescharacteristic, complemented
45#16838102C2211yescharacteristic, complemented
46#16838102C2211yescharacteristic, complemented
47#16838072C2211yescharacteristic, complemented
48#16838071—21no—
49#16838060C2211yescharacteristic
50#16838060C2211yescharacteristic, complemented
51#16838060C2211yescharacteristic, complemented
52#16838060C2211yescharacteristic, complemented
53#16838055C2211yescharacteristic, complemented
54#16838047C2211yescharacteristic, complemented
55#16838047C2211yescharacteristic, complemented
56#16838045C2211yescharacteristic
57#16838045C2211yescharacteristic, complemented
58#16838045C2211yescharacteristic, complemented
59#16838045C2211yescharacteristic, complemented
60#16838042—21no—
61#16838042—21no—
62#16838042—21no—
63#16838042—21no—
64#16838040—21no—
65#16838037C2211yescharacteristic, complemented
66#16838021—21no—
67#16837985—21no—
68#16837985—21no—
69#16837981C2211yescharacteristic
70#16837981C2211yescharacteristic, complemented
71#16837976C2211yescharacteristic, complemented
72#16837972—21no—
73#16837970—21no—
74#16837970—21no—
75#16837969C2211yescharacteristic, complemented
76#16837968C2211yescharacteristic
77#16837968C2211yescharacteristic, complemented
78#16837952C2211yescharacteristic
79#16837951—21no—
80#16837936C2211yescharacteristic, complemented
81#124×D59—21no—
82C4×#11745685C2211yescharacteristic, complemented
83#16837784C2211yescharacteristic, complemented
84#16837784C2211yescharacteristic, complemented
85#16837756C2211yescharacteristic, complemented
86#16837756C2211yescharacteristic, complemented
87#16837744C2211yescharacteristic, complemented
88#16837742C2211yescharacteristic, complemented
89#16837741C2211yescharacteristic, complemented
90#16837736C2211yescharacteristic, complemented
91#16837731C2211yescharacteristic, complemented
92#16837727C2211yescharacteristic, complemented
93#16837725C2211yescharacteristic, complemented
94#16837724C2211yescharacteristic, complemented
95#16837723C2211yescharacteristic, complemented
96#16837723C2211yescharacteristic, complemented
97#16837719C2211yescharacteristic, complemented
98#16837714C2211yescharacteristic, complemented
99#16837710C2211yescharacteristic, complemented
100#16837703C2211yescharacteristic, complemented
101#16837694C2211yescharacteristic, complemented
102#16837689C2211yescharacteristic, complemented
103#16837659C2211yescharacteristic, complemented
104#16837654C2211yescharacteristic, complemented
105#16837652C2211yescharacteristic, complemented
106#16837652C2211yescharacteristic, complemented
107#16837651C2211yescharacteristic, complemented
108#16837647C2211yescharacteristic, complemented
109#16837645C2211yescharacteristic, complemented
110#16837645C2211yescharacteristic, complemented
111#16837642C2211yescharacteristic, complemented
112#16837637C2211yescharacteristic, complemented
113#16837635C2211yescharacteristic, complemented
114#16837635C2211yescharacteristic, complemented
115#16837634C2211yescharacteristic, complemented
116#16837630C2211yescharacteristic, complemented
117#16837628C2211yescharacteristic, complemented
118#16837628C2211yescharacteristic, complemented
119#16837625C2211yescharacteristic, complemented
120#16837621C2211yescharacteristic, complemented
121#16837621C2211yescharacteristic, complemented
122#16837618C2211yescharacteristic, complemented
123#16837614C2211yescharacteristic, complemented
124#16837614C2211yescharacteristic, complemented
125#16837599C2211yescharacteristic, complemented
126#16837594C2211yescharacteristic, complemented
127#16837567C2211yescharacteristic, complemented
128#16837566C2211yescharacteristic, complemented
129#16837565C2211yescharacteristic, complemented
130#16837561C2211yescharacteristic, complemented
131#16837561C2211yescharacteristic, complemented
132#16837559C2211yescharacteristic, complemented
133#16837558C2211yescharacteristic, complemented
134#16837554C2211yescharacteristic, complemented
135#16837553C2211yescharacteristic, complemented
136#16837551C2211yescharacteristic, complemented
137#16837551C2211yescharacteristic, complemented
138#16837550C2211yescharacteristic, complemented
139#16837549C2211yescharacteristic
140#16837548C2211yescharacteristic
141#16837546C2211yescharacteristic, complemented
142#16837546C2211yescharacteristic, complemented
143#16837545C2211yescharacteristic, complemented
144#16837545C2211yescharacteristic, complemented
145#16837544C2211yescharacteristic
146#16837544C2211yescharacteristic, complemented
147#16837544C2211yescharacteristic, complemented
148#16837544C2211yescharacteristic, complemented
149#16837542C2211yescharacteristic, complemented
150#16837541C2211yescharacteristic, complemented
151#16837539C2211yescharacteristic, complemented
152#16837539C2211yescharacteristic, complemented
153#16837537C2211yescharacteristic
154#16837536C2211yescharacteristic
155#16837534C2211yescharacteristic
156#16837534C2211yescharacteristic, complemented
157#16837534C2211yescharacteristic, complemented
158#16837534C2211yescharacteristic, complemented
159#16837515C2211yescharacteristic, complemented
160#16837510C2211yescharacteristic, complemented
161#16837504C2211yescharacteristic, complemented
162#16837504C2211yescharacteristic, complemented
163C4×#11745670C2211yescharacteristic, complemented
164C4×#11745670C2211yescharacteristic, complemented
165C4×#11745669C2211yescharacteristic, complemented
166C4×#11745669C2211yescharacteristic, complemented
167#16837479C2211yescharacteristic, complemented
168#16837479C2211yescharacteristic, complemented
169#16837475C2211yescharacteristic, complemented
170#16837475C2211yescharacteristic, complemented
171#16837475C2211yescharacteristic, complemented
172#16837475C2211yescharacteristic, complemented
173#16837467C2211yescharacteristic, complemented
174#16837467C2211yescharacteristic, complemented
175#16837455C2211yescharacteristic, complemented
176#16837409C2211yescharacteristic, complemented
177#16837405C2211yescharacteristic, complemented
178#16837402C2211yescharacteristic, complemented
179#16837400C2211yescharacteristic, complemented
180#16837397C2211yescharacteristic, complemented
181#16837395C2211yescharacteristic, complemented
182#103×D59C2211yescharacteristic, complemented
183#102×D59C2211yescharacteristic, complemented
184#16837367C2211yescharacteristic, complemented
185#16837367C2211yescharacteristic, complemented
186#16837367C2211yescharacteristic, complemented
187#16837367C2211yescharacteristic, complemented
188C59×#532C2211yescharacteristic, complemented
189C2×#124×C59C2211yescharacteristic, complemented
190C59×#496C2211yescharacteristic, complemented
191C59×#496C2211yescharacteristic, complemented
192C59×#489C2211yescharacteristic, complemented
193C59×#489C2211yescharacteristic, complemented
194C59×#463C2211yescharacteristic, complemented
195C59×#463C2211yescharacteristic, complemented
196C59×#463C2211yescharacteristic, complemented
197C59×#463C2211yescharacteristic, complemented
198C59×#448C2211yescharacteristic, complemented
199C59×#448C2211yescharacteristic, complemented
200C59×#447C2211yescharacteristic, complemented
201C59×#447C2211yescharacteristic, complemented
202C59×#432C2211yescharacteristic, complemented
203#14273775—42no—
204#14273775—42no—
205#14273772—42no—
206#14273772—42no—
207C2×#11745689—21no—
208C2×#11745689—21no—
209C2×#11745689C2311yescharacteristic
210C2×#11745689C2311yescharacteristic
211C2×#11745685—21no—
212C2×#11745685—21no—
213C2×#11745685C2311yescharacteristic
214C2×#11745685C2311yescharacteristic
215C2×#11745685C2311yescharacteristic
216C2×#11745687—21no—
217C2×#11745687C2311yescharacteristic
218C2×#11745687C2311yescharacteristic
219C2×#11745687C2311yescharacteristic
220C2×#11745687C2311yescharacteristic
221C2×Q8×D59—21no—
222C2×Q8×D59C2311yescharacteristic
223C2×Q8×D59C2311yescharacteristic
224C22×C22⋊D59—21no—
225C22×C22⋊D59—21no—
226C2×D4×D59—21no—
227C2×D4×D59—21no—
228C2×D4×D59C2311yescharacteristic
229C2×D4×D59C2311yescharacteristic
230C2×D4×D59C2311yescharacteristic
231C2×D4×D59C2311yescharacteristic
232#14273756—42no—
233#14273754—42no—
234#14273751—42no—
235#14273751—42no—
236#14273748—42no—
237#14273746—42no—
238C2×Dic236C2311yescharacteristic
239C2×#11745672C2311yescharacteristic
240C2×#11745672C2311yescharacteristic
241C2×#11745660C2311yescharacteristic
242C2×#11745660C2311yescharacteristic
243C2×#11745670C2311yescharacteristic
244C2×#11745670C2311yescharacteristic
245C2×#11745670C2311yescharacteristic
246C2×#11745670C2311yescharacteristic
247C2×#11745671C2311yescharacteristic
248C2×#11745671C2311yescharacteristic
249SD16×D59—42no—
250C2×D472C2311yescharacteristic
251C2×#11745669C2311yescharacteristic
252C2×#11745669C2311yescharacteristic
253C2×#11745669C2311yescharacteristic
254C2×#11745669C2311yescharacteristic
255D8×D59—42no—
256C2×#11745659C2311yescharacteristic
257C2×#11745659C2311yescharacteristic
258C2×#11745659C2311yescharacteristic
259C2×#11745659C2311yescharacteristic
260C2×C8×D59C2311yescharacteristic
261C2×C8×D59C2311yescharacteristic
262C2×C8×D59C2311yescharacteristic
263C2×C8×D59C2311yescharacteristic
264#14273727D411yescharacteristic
265#14273725—21no—
266#14273724D411yescharacteristic
267#14273723—21no—
268#14273723—21no—
269#14273723—21no—
270#14273723—21no—
271#14273722—21no—
272#14273722—21no—
273#14273721—21no—
274#14273720—21no—
275#14273720—21no—
276#14273719C2311yescharacteristic
277#14273716—21no—
278#14273716—21no—
279#14273715D411yescharacteristic
280#14273715D411yescharacteristic
281#14273715C2311yescharacteristic
282#14273714—21no—
283#14273713—21no—
284#14273713—21no—
285#14273713—21no—
286#14273713—21no—
287#14273713—21no—
288#14273713—21no—
289#14273712—21no—
290#14273712—21no—
291#14273711—21no—
292#14273711—21no—
293#14273710—21no—
294#14273710—21no—
295#14273710—21no—
296#14273710—21no—
297#14273710—21no—
298#14273709—21no—
299#14273709—21no—
300#14273709—21no—
301#14273709—21no—
302#14273707C2311yescharacteristic
303#14273707C2311yescharacteristic
304#14273706C2311yescharacteristic
305#14273704—21no—
306#14273704—21no—
307#14273704—21no—
308#14273704—21no—
309#14273704—21no—
310#14273704—21no—
311#14273703—21no—
312#14273703C2311yescharacteristic
313#14273703C2311yescharacteristic
314#14273703C2311yescharacteristic
315#14273703C2311yescharacteristic
316#14273702C2311yescharacteristic
317#14273702C2311yescharacteristic
318#14273701—21no—
319#14273701—21no—
320#14273701D411yescharacteristic
321#14273701D411yescharacteristic
322#14273701D411yescharacteristic
323#14273701D411yescharacteristic
324#14273701C2311yescharacteristic
325#14273700—21no—
326#14273700—21no—
327#14273700—21no—
328#14273700—21no—
329#14273700—21no—
330#14273700—21no—
331#14273700—21no—
332#14273700—21no—
333#14273700—21no—
334#14273700—21no—
335#14273700—21no—
336#14273700—21no—
337#14273699—21no—
338#14273699—21no—
339#14273699—21no—
340#14273699—21no—
341#14273698—21no—
342#14273698—21no—
343#14273698—21no—
344#14273698C2311yescharacteristic
345#14273698C2311yescharacteristic
346#14273698C2311yescharacteristic
347#14273698C2311yescharacteristic
348#14273698C2311yescharacteristic
349#14273698C2311yescharacteristic
350#14273698C2311yescharacteristic
351#14273698C2311yescharacteristic
352#14273697—21no—
353#14273697—21no—
354#14273697—21no—
355#14273697—21no—
356#14273697—21no—
357#14273697—21no—
358#14273697—21no—
359#14273697—21no—
360#14273696—21no—
361#14273696—21no—
362#14273695—21no—
363#14273695—21no—
364#14273695—21no—
365#14273695—21no—
366Q8×Dic59—21no—
367C4×Dic118C2311yescharacteristic
368C4×Dic118C2311yescharacteristic
369C4×Dic118C2311yescharacteristic
370C4×D236C2311yescharacteristic
371C4×D236C2311yescharacteristic
372C4×D236C2311yescharacteristic
373C4×D236C2311yescharacteristic
374C4×D236C2311yescharacteristic
375C4×D236C2311yescharacteristic
376C4×D236C2311yescharacteristic
377D4×Dic59—21no—
378C4×C22⋊D59—21no—
379C4×C22⋊D59—21no—
380C4×C22⋊D59—21no—
381C4×C22⋊D59—21no—
382C4×C22⋊D59—21no—
383(C22⋊D59)⋊C4—21no—
384(C22⋊D59)⋊C4—21no—
385(C22⋊D59)⋊C4—21no—
386(C22⋊D59)⋊C4—21no—
387#14273686C2311yescharacteristic
388#14273685C2311yescharacteristic
389#14273685C2311yescharacteristic
390#14273684—21no—
391#14273684—21no—
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—
400C42×D59—21no—
401#14273661C2311yescharacteristic
402#14273661C2311yescharacteristic
403#14273660C2311yescharacteristic
404#14273660C2311yescharacteristic
405#14273659C2311yescharacteristic
406#14273659C2311yescharacteristic
407#14273658C2311yescharacteristic
408#14273658C2311yescharacteristic
409C4⋊(C59⋊C8)C2311yescharacteristic
410C4⋊(C59⋊C8)C2311yescharacteristic
411#14273652C2311yescharacteristic
412#14273652C2311yescharacteristic
413#14273652C2311yescharacteristic
414#14273652C2311yescharacteristic
415#14273651C2311yescharacteristic
416#14273651C2311yescharacteristic
417#14273651C2311yescharacteristic
418#14273651C2311yescharacteristic
419#14273650C2311yescharacteristic
420#14273650C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273649C2311yescharacteristic
423#14273649C2311yescharacteristic
424#14273649C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273648C2311yescharacteristic
428#14273648C2311yescharacteristic
429#14273648C2311yescharacteristic
430#14273648C2311yescharacteristic
431#14273648C2311yescharacteristic
432#14273648C2311yescharacteristic
433#14273647C2311yescharacteristic
434#14273647C2311yescharacteristic
435C22⋊(C59⋊C8)C2311yescharacteristic
436C22⋊(C59⋊C8)C2311yescharacteristic
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(C2×D59)⋊C8C2311yescharacteristic
445C4×C59⋊C8C2311yescharacteristic
446C4×C59⋊C8C2311yescharacteristic
447C2×#41×C59—21no—
448C22×Q8×C59C2311yescharacteristic
449C22×D4×C59C2311yescharacteristic
450C2×SD16×C59C2311yescharacteristic
451C2×SD16×C59C2311yescharacteristic
452C2×SD16×C59C2311yescharacteristic
453C2×SD16×C59C2311yescharacteristic
454C2×D8×C59C2311yescharacteristic
455C2×D8×C59C2311yescharacteristic
456C2×D8×C59C2311yescharacteristic
457C2×D8×C59C2311yescharacteristic
458C4⋊Q8×C59C2311yescharacteristic
459#127×C59C2311yescharacteristic
460#124×C59—21no—
461#124×C59—21no—
462#124×C59—21no—
463#124×C59C2311yescharacteristic
464#124×C59C2311yescharacteristic
465#124×C59C2311yescharacteristic
466#124×C59C2311yescharacteristic
467#121×C59—21no—
468#121×C59C2311yescharacteristic
469#121×C59C2311yescharacteristic
470C4×D4×C59—21no—
471C4×D4×C59C2311yescharacteristic
472C4×D4×C59C2311yescharacteristic
473C2×C22⋊C4×C59—21no—
474C2×C22⋊C4×C59—21no—
475C2×C42×C59C2311yescharacteristic
476C4⋊C8×C59C2311yescharacteristic
477C4⋊C8×C59C2311yescharacteristic
478#103×C59C2311yescharacteristic
479#103×C59C2311yescharacteristic
480#103×C59C2311yescharacteristic
481#103×C59C2311yescharacteristic
482#102×C59C2311yescharacteristic
483#102×C59C2311yescharacteristic
484#102×C59C2311yescharacteristic
485#102×C59C2311yescharacteristic
486C22⋊C8×C59C2311yescharacteristic
487C22⋊C8×C59C2311yescharacteristic
488#97×C59C2311yescharacteristic
489#97×C59C2311yescharacteristic
490C24×C59—21no—
491C23×D59—21no—
492C23×D59—21no—
493C23×D59—21no—
494C23×D59—21no—
495#41×C59—82no—
496C2×Q8×C59—21no—
497C2×Q8×C59—21no—
498C2×Q8×C59—41no—
499C2×Q8×C59—41no—
500C2×Q8×C59C2411yescharacteristic
501C2×Q8×C59C2411yescharacteristic
502C2×D4×C59—21no—
503C2×D4×C59—21no—
504C2×D4×C59—21no—
505C2×D4×C59—21no—
506C2×D4×C59—21no—
507C2×D4×C59—41no—
508C2×D4×C59—41no—
509C2×D4×C59C2411yescharacteristic
510C2×D4×C59C2411yescharacteristic
511C2×D4×C59C2411yescharacteristic
512C2×D4×C59C2411yescharacteristic
513C22×C4×C59—21no—
514C22×C4×C59—21no—
515C22×C4×C59—21no—
516C22×C4×C59C2×D411yescharacteristic
517C22×C4×C59C2×D411yescharacteristic
518C22×C4×C59C2411yescharacteristic
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⋊D59—21no—
528C2×C22⋊D59—21no—
529C2×C22⋊D59—21no—
530C2×C22⋊D59—21no—
531C2×C22⋊D59—21no—
532C2×C22⋊D59—21no—
533C2×C22⋊D59—21no—
534C2×C22⋊D59—21no—
535C2×C22⋊D59—21no—
536C2×C22⋊D59—21no—
537C2×C22⋊D59—44no—
538C2×C22⋊D59—44no—
539C2×C22⋊D59C2×D411yescharacteristic
540C2×C22⋊D59C2×D411yescharacteristic
541C2×C22⋊D59C2×D411yescharacteristic
542C2×C22⋊D59C2×D411yescharacteristic
543C22×Dic59—21no—
544C22×Dic59—21no—
545C22×Dic59—21no—
546C22×Dic59—21no—
547#11745689—22no—
548#11745689—22no—
549#11745689—41no—
550#11745689—41no—
551#11745689—44no—
552#11745689—82no—
553Q8×D59—22no—
554Q8×D59—22no—
555Q8×D59—41no—
556Q8×D59—41no—
557Q8×D59—44no—
558#11745687—22no—
559#11745687—22no—
560#11745687—41no—
561#11745687—41no—
562#11745687—41no—
563#11745687—41no—
564#11745687—41no—
565#11745687—41no—
566#11745687—44no—
567D4×D59—22no—
568D4×D59—22no—
569D4×D59—41no—
570D4×D59—41no—
571D4×D59—41no—
572D4×D59—41no—
573D4×D59—41no—
574D4×D59—41no—
575D4×D59—44no—
576D4×D59—82no—
577#11745685—22no—
578#11745685—22no—
579#11745685—41no—
580#11745685—41no—
581#11745685—41no—
582#11745685—41no—
583#11745685—44no—
584#11745685—44no—
585C2×D236—21no—
586C2×D236—21no—
587C2×D236—21no—
588C2×D236—21no—
589C2×D236C2×D411yescharacteristic
590C2×D236C2×D411yescharacteristic
591C2×D236C2×D411yescharacteristic
592C2×D236C2×D411yescharacteristic
593C2×D236C2×D411yescharacteristic
594C2×D236C2×D411yescharacteristic
595C2×D236C2411yescharacteristic
596C2×D236C2411yescharacteristic
597C2×C4×D59—21no—
598C2×C4×D59—21no—
599C2×C4×D59—21no—
600C2×C4×D59—21no—
601C2×C4×D59—21no—
602C2×C4×D59—21no—
603C2×C4×D59—21no—
604C2×C4×D59—21no—
605C2×C4×D59—21no—
606C2×C4×D59—21no—
607C2×C4×D59C2411yescharacteristic
608C2×C4×D59C2411yescharacteristic
609C2×C4×D59C2411yescharacteristic
610C2×C4×D59C2411yescharacteristic
611C2×Dic118—21no—
612C2×Dic118—21no—
613C2×Dic118C2×D411yescharacteristic
614C2×Dic118C2×D411yescharacteristic
615C2×Dic118C2411yescharacteristic
616C2×Dic118C2411yescharacteristic
617SD16×C59—41no—
618SD16×C59—41no—
619SD16×C59—41no—
620SD16×C59—41no—
621D8×C59—41no—
622D8×C59—41no—
623D8×C59—41no—
624D8×C59—41no—
625C2×C8×C59C2411yescharacteristic
626C2×C8×C59C2411yescharacteristic
627C2×C8×C59C2411yescharacteristic
628C2×C8×C59C2411yescharacteristic
629C4⋊C4×C59—21no—
630C4⋊C4×C59C2411yescharacteristic
631C4⋊C4×C59C2411yescharacteristic
632C22⋊C4×C59—21no—
633C22⋊C4×C59—21no—
634C22⋊C4×C59—21no—
635C22⋊C4×C59—21no—
636C22⋊C4×C59—21no—
637C22⋊C4×C59—21no—
638C22⋊C4×C59—21no—
639C22⋊C4×C59—21no—
640C22⋊C4×C59—21no—
641C22⋊C4×C59—21no—
642C22⋊C4×C59—21no—
643C22⋊C4×C59—21no—
644C42×C59C2×D411yescharacteristic
645C42×C59C2×D411yescharacteristic
646C42×C59C2411yescharacteristic
647C42×C59C2411yescharacteristic
648C22⋊Dic59—21no—
649C22⋊Dic59—21no—
650C22⋊Dic59—21no—
651C22⋊Dic59—21no—
652C22⋊Dic59—21no—
653C22⋊Dic59—21no—
654C22⋊Dic59—21no—
655C22⋊Dic59—21no—
656C22⋊Dic59—21no—
657C22⋊Dic59—21no—
658#11745672—41no—
659#11745672—41no—
660#11745671—41no—
661#11745671—41no—
662#11745670—22no—
663#11745670—22no—
664#11745670—41no—
665#11745670—41no—
666#11745669—22no—
667#11745669—22no—
668#11745669—41no—
669#11745669—41no—
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)⋊C4C2×D411yescharacteristic
687(C2×D59)⋊C4C2×D411yescharacteristic
688(C2×D59)⋊C4C2×D411yescharacteristic
689(C2×D59)⋊C4C2×D411yescharacteristic
690(C2×D59)⋊C4C2×D411yescharacteristic
691(C2×D59)⋊C4C2×D411yescharacteristic
692(C2×D59)⋊C4C2×D411yescharacteristic
693(C2×D59)⋊C4C2×D411yescharacteristic
694C4⋊Dic59—21no—
695C4⋊Dic59—21no—
696C4⋊Dic59C2×D411yescharacteristic
697C4⋊Dic59C2×D411yescharacteristic
698C4⋊Dic59C2×D411yescharacteristic
699C4⋊Dic59C2×D411yescharacteristic
700C4⋊Dic59C2411yescharacteristic
701C4⋊Dic59C2411yescharacteristic
702C4⋊Dic59C2411yescharacteristic
703C4⋊Dic59C2411yescharacteristic
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⋊C4—21no—
716C4×Dic59—21no—
717C4×Dic59—21no—
718C4×Dic59—21no—
719C4×Dic59—21no—
720C4×Dic59—21no—
721C4×Dic59—21no—
722C2×C59⋊C8C2411yescharacteristic
723C2×C59⋊C8C2411yescharacteristic
724C2×C59⋊C8C2411yescharacteristic
725C2×C59⋊C8C2411yescharacteristic
726Dic236—22no—
727D472—22no—
728#11745660—22no—
729#11745660—22no—
730#11745659—41no—
731#11745659—41no—
732#11745659—41no—
733#11745659—41no—
734C8×D59—41no—
735C8×D59—41no—
736C8×D59—41no—
737C8×D59—41no—
738C23×C59—21no—
739C23×C59—21no—
740C23×C59—21no—
741C23×C59—21no—
742C23×C59—42no—
743C23×C59—81no—
744C23×C59—81no—
745C23×C59C22×D411yescharacteristic
746C22×D59—21no—
747C22×D59—21no—
748C22×D59—42no—
749C22×D59—42no—
750C22×D59—81no—
751C22×D59—81no—
752C22×D59—81no—
753C22×D59—81no—
754C22×D59—81no—
755C22×D59—81no—
756C22×D59—81no—
757C22×D59—81no—
758C22×D59—81no—
759C22×D59—81no—
760C22×D59C22×D411yescharacteristic
761C22×D59C22×D411yescharacteristic
762C22×D59C22×D411yescharacteristic
763C22×D59C22×D411yescharacteristic
764Q8×C59—21no—
765Q8×C59—21no—
766Q8×C59—21no—
767Q8×C59—21no—
768Q8×C59—42no—
769Q8×C59—42no—
770D4×C59—21no—
771D4×C59—21no—
772D4×C59—21no—
773D4×C59—21no—
774D4×C59—21no—
775D4×C59—21no—
776D4×C59—21no—
777D4×C59—21no—
778D4×C59—42no—
779D4×C59—42no—
780D4×C59—81no—
781D4×C59—81no—
782D4×C59—81no—
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—41no—
790C2×C4×C59—41no—
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×C59C22×D411yescharacteristic
799C2×C4×C59C2511yescharacteristic
800C22⋊D59—24no—
801C22⋊D59—41no—
802C22⋊D59—41no—
803C22⋊D59—41no—
804C22⋊D59—41no—
805C22⋊D59—42no—
806C22⋊D59—42no—
807C22⋊D59—42no—
808C22⋊D59—42no—
809C22⋊D59—81no—
810C22⋊D59—81no—
811C22⋊D59—81no—
812C22⋊D59—81no—
813C22⋊D59—81no—
814C22⋊D59—81no—
815C22⋊D59—81no—
816C22⋊D59—81no—
817C22⋊D59—81no—
818C22⋊D59—81no—
819C22⋊D59—81no—
820C22⋊D59—81no—
821C22⋊D59—81no—
822C2×Dic59—21no—
823C2×Dic59—21no—
824C2×Dic59—21no—
825C2×Dic59—21no—
826C2×Dic59—21no—
827C2×Dic59—21no—
828C2×Dic59—42no—
829C2×Dic59—42no—
830C2×Dic59—81no—
831C2×Dic59—81no—
832C2×Dic59C22×D411yescharacteristic
833C2×Dic59C22×D411yescharacteristic
834C2×Dic59C22×D411yescharacteristic
835C2×Dic59C22×D411yescharacteristic
836D236—21no—
837D236—21no—
838D236—21no—
839D236—41no—
840D236—41no—
841D236—41no—
842D236—41no—
843D236—41no—
844D236—41no—
845D236—42no—
846D236—42no—
847D236—81no—
848D236—81no—
849D236H(5,𝔽2)12yes—
850C4×D59—24no—
851C4×D59—21no—
852C4×D59—21no—
853C4×D59—21no—
854C4×D59—21no—
855C4×D59—21no—
856C4×D59—21no—
857C4×D59—21no—
858C4×D59—21no—
859C4×D59—42no—
860C4×D59—42no—
861C4×D59—42no—
862C4×D59—42no—
863C4×D59—42no—
864C4×D59—81no—
865C4×D59—81no—
866C4×D59—81no—
867C4×D59—81no—
868Dic118—21no—
869Dic118—21no—
870Dic118—21no—
871Dic118—41no—
872Dic118—41no—
873Dic118—42no—
874Dic118—42no—
875Dic118H(5,𝔽2)12yes—
876C8×C59—21no—
877C8×C59—21no—
878C8×C59—21no—
879C8×C59—21no—
880C59⋊C8—21no—
881C59⋊C8—21no—
882C59⋊C8—21no—
883C59⋊C8—21no—
884#61690—591nomaximal, Sylow
885C22×C59—21no—
886C22×C59—21no—
887C22×C59—21no—
888C22×C59—41no—
889C22×C59—41no—
890C22×C59—41no—
891C22×C59—41no—
892C22×C59—41no—
893C22×C59—41no—
894C22×C59—41no—
895C22×C59—41no—
896C22×C59—41no—
897C22×C59—41no—
898C22×C59—41no—
899C22×C59—41no—
900C22×C59—162no—
901C22×C59C23×D411yescharacteristic
902C2×D59—21no—
903C2×D59—21no—
904C2×D59—21no—
905C2×D59—21no—
906C2×D59—21no—
907C2×D59—21no—
908C2×D59—21no—
909C2×D59—21no—
910C2×D59—22no—
911C2×D59—21no—
912C2×D59—21no—
913C2×D59—21no—
914C2×D59—21no—
915C2×D59—41no—
916C2×D59—41no—
917C2×D59—41no—
918C2×D59—41no—
919C2×D59—41no—
920C2×D59—162no—
921C2×D59—162no—
922C2×D59—162no—
923C2×D59—162no—
924C4×C59—21no—
925C4×C59—21no—
926C4×C59—21no—
927C4×C59—21no—
928C4×C59—21no—
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—22no—
936Dic59—21no—
937Dic59—21no—
938Dic59—21no—
939Dic59—21no—
940Dic59—41no—
941Dic59—41no—
942Dic59—41no—
943Dic59—41no—
944Dic59—41no—
945#3546—591no—
946#3500—591no—
947#3326—591no—
948#3322—591no—
949#3313—591no—
950#3311—591no—
951#3308—591no—
952#3306—591no—
953#3301—591no—
954#3297—591no—
955#3282—591no—
956#3280—591no—
957#3275—591no—
958#3273—591no—
959#3271—591no—
960#3268—591no—
961#3265—591no—
962#3264—591no—
963#3213D5911yescharacteristic, complemented
964#3211—591no—
965#3201—591no—
966#3200—591no—
967#3199—591no—
968#3198—591no—
969#3111—591no—
970#3106—591no—
971#3013—591no—
972#3012—591no—
973#3010—591no—
974#3008—591no—
975#2981—591no—
976C2×C59—41no—
977C2×C59—81no—
978C2×C59—81no—
979C2×C59—81no—
980C2×C59—81no—
981C2×C59#348411yescharacteristic
982C2×C59#358411yescharacteristic
983C2×C59#358511yescharacteristic
984D59—41no—
985D59—41no—
986D59—41no—
987D59—41no—
988D59—42no—
989D59—81no—
990C2×2−1+4—591no—
991C2×H(5,𝔽2)—591no—
992C2×#137—591no—
993C2×AGL(1,ℤ/8)—591no—
994C2×AGL(1,ℤ/8)—591no—
995C2×AGL(1,ℤ/8)—591no—
996C2×#135—591no—
997C2×#135—591no—
998C22×SD16—591no—
999C22×D8—591no—
1000#560—1181no—
1001#560—1181no—
1002#556—591no—
1003#553—591no—
1004#553—591no—
1005#550—591no—
1006#550—1181no—
1007#548—591no—
1008#548—591no—
1009#548—591no—
1010#548—591no—
1011#547—591no—
1012#546—591no—
1013#546—591no—
1014#546—591no—
1015#546—591no—
1016#546—591no—
1017#546—591no—
1018#546—1181no—
1019#546—1181no—
1020#546—1181no—
1021#546—1181no—
1022#546—1181no—
1023D42—591no—
1024#542—1181no—
1025#538—1181no—
1026#538—1181no—
1027#537—591no—
1028#537—591no—
1029#536—591no—
1030#536—1181no—
1031#535—591no—
1032#535—591no—
1033#535—591no—
1034#535—1181no—
1035#535—1181no—
1036#532—591no—
1037#532—1181no—
1038#532C2×D5911yescharacteristic, complemented
1039#529—591no—
1040C2×#124—1181no—
1041C2×#124C2×D5911yescharacteristic, complemented
1042C4×#41—591no—
1043#496C2×D5911yescharacteristic, complemented
1044#496C2×D5911yescharacteristic, complemented
1045#495—591no—
1046#495—591no—
1047#489C2×D5911yescharacteristic, complemented
1048#489C2×D5911yescharacteristic, complemented
1049#488—591no—
1050#488—591no—
1051#485—591no—
1052#485—591no—
1053#485—591no—
1054#484—591no—
1055#483—591no—
1056#482—591no—
1057#482—591no—
1058#482—591no—
1059#482—591no—
1060#482—591no—
1061#481—591no—
1062#480—591no—
1063#479—591no—
1064#478—591no—
1065#477—591no—
1066#476—591no—
1067#470—591no—
1068#469—591no—
1069#469—591no—
1070#469—591no—
1071#468—591no—
1072#468—591no—
1073#468—591no—
1074#468—591no—
1075#467—591no—
1076#466—591no—
1077#466—591no—
1078#466—591no—
1079#465—591no—
1080#465—591no—
1081#465—591no—
1082#465—591no—
1083#464—591no—
1084#464—591no—
1085#464—591no—
1086#463—591no—
1087#463—591no—
1088#463—591no—
1089#463C2×D5911yescharacteristic, complemented
1090#463C2×D5911yescharacteristic, complemented
1091#463C2×D5911yescharacteristic, complemented
1092#463C2×D5911yescharacteristic, complemented
1093#460—591no—
1094#459—591no—
1095#452—591no—
1096#452—591no—
1097#452—591no—
1098#452—591no—
1099#452—591no—
1100#451—591no—
1101#451—591no—
1102#450—591no—
1103#450—591no—
1104#450—591no—
1105#450—591no—
1106#449—591no—
1107#449—591no—
1108#449—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#448—591no—
1118#448—591no—
1119#448—591no—
1120#448—591no—
1121#448C2×D5911yescharacteristic, complemented
1122#448C2×D5911yescharacteristic, complemented
1123#447—591no—
1124#447—591no—
1125#447—591no—
1126#447—591no—
1127#447—591no—
1128#447—591no—
1129#447C2×D5911yescharacteristic, complemented
1130#447C2×D5911yescharacteristic, complemented
1131#442—591no—
1132#441—591no—
1133#440—591no—
1134#440—591no—
1135C4×SD16—591no—
1136C4×SD16—591no—
1137C4×D8—591no—
1138C4×D8—591no—
1139#436—591no—
1140#436—591no—
1141#435—591no—
1142#435—591no—
1143#435—591no—
1144#435—591no—
1145C8×D4—591no—
1146C8×D4—591no—
1147#432C2×D5911yescharacteristic, complemented
1148#431—591no—
1149#419—591no—
1150#418—591no—
1151#417—591no—
1152#417—591no—
1153#416—591no—
1154#416—591no—
1155C2×#103—591no—
1156C2×#102—591no—
1157#408—591no—
1158#408—591no—
1159#408—591no—
1160#408—591no—
1161C59#6169011yescharacteristic, complemented, Sylow
11622−1+4—2362no—
11632−1+4—2362no—
1164H(5,𝔽2)—2362no—
1165H(5,𝔽2)—2362no—
1166C2×#41—21no—
1167C2×#41—591no—
1168C2×#41—591no—
1169C2×#41—591no—
1170C2×#41—591no—
1171C2×#41—591no—
1172C2×#41—591no—
1173C2×#41—591no—
1174C2×#41—591no—
1175C2×#41—591no—
1176C2×#41—1181no—
1177C2×#41—1181no—
1178C2×#41—1181no—
1179C2×#41—1181no—
1180C2×#41—1181no—
1181C22×Q8—591no—
1182C22×Q8—591no—
1183C22×Q8—1181no—
1184C22×Q8C22×D5911yescharacteristic
1185C22×D4—591no—
1186C22×D4—591no—
1187C22×D4—591no—
1188C22×D4—591no—
1189C22×D4—1181no—
1190C22×D4—1181no—
1191C22×D4—1181no—
1192C22×D4—1181no—
1193C22×D4C22×D5911yescharacteristic
1194#137—2362no—
1195AGL(1,ℤ/8)—2362no—
1196AGL(1,ℤ/8)—2362no—
1197AGL(1,ℤ/8)—2362no—
1198#135—2362no—
1199#135—2362no—
1200C2×Q16—591no—
1201C2×Q16—591no—
1202C2×Q16—591no—
1203C2×SD16—591no—
1204C2×SD16—591no—
1205C2×SD16—591no—
1206C2×SD16—591no—
1207C2×SD16—591no—
1208C2×SD16—591no—
1209C2×SD16—591no—
1210C2×SD16—591no—
1211C2×SD16—2362no—
1212C2×SD16C22×D5911yescharacteristic
1213C2×SD16C22×D5911yescharacteristic
1214C2×SD16C22×D5911yescharacteristic
1215C2×SD16C22×D5911yescharacteristic
1216C2×D8—591no—
1217C2×D8—591no—
1218C2×D8—591no—
1219C2×D8—591no—
1220C2×D8—591no—
1221C2×D8—2362no—
1222C2×D8C22×D5911yescharacteristic
1223C2×D8C22×D5911yescharacteristic
1224C2×D8C22×D5911yescharacteristic
1225C2×D8C22×D5911yescharacteristic
1226C2×M16—591no—
1227C2×M16—591no—
1228C2×M16—591no—
1229C2×M16—591no—
1230C22×C8—591no—
1231C22×C8—591no—
1232C22×C8—591no—
1233C22×C8—591no—
1234C4⋊Q8—591no—
1235C4⋊Q8—1181no—
1236C4⋊Q8C22×D5911yescharacteristic
1237#127—591no—
1238#127—1181no—
1239#127—1181no—
1240#127—1181no—
1241#127—1181no—
1242#127C22×D5911yescharacteristic
1243#126—1181no—
1244#126—1181no—
1245#126—1181no—
1246#126—1181no—
1247#126—1181no—
1248#125—591no—
1249#124—21no—
1250#124—21no—
1251#124—21no—
1252#124—591no—
1253#124—591no—
1254#124—591no—
1255#124—1181no—
1256#124—1181no—
1257#124—1181no—
1258#124—1181no—
1259#124—1181no—
1260#124—1181no—
1261#124—1181no—
1262#124—1181no—
1263#124—1181no—
1264#124C22×D5911yescharacteristic
1265#124C22×D5911yescharacteristic
1266#124C22×D5911yescharacteristic
1267#124C22×D5911yescharacteristic
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—
1277#123—1181no—
1278#123—1181no—
1279#123—1181no—
1280#123—1181no—
1281C22⋊Q8—591no—
1282C22⋊Q8—591no—
1283C22⋊Q8—591no—
1284C22⋊Q8—591no—
1285C22⋊Q8—591no—
1286C22⋊Q8—591no—
1287C22⋊Q8—591no—
1288C22⋊Q8—1181no—
1289C22⋊Q8—1181no—
1290C22⋊Q8—1181no—
1291C22⋊Q8—1181no—
1292C22⋊Q8—1181no—
1293C22⋊Q8—1181no—
1294C22⋊Q8—1181no—
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—591no—
1304#121—591no—
1305#121—591no—
1306#121—591no—
1307#121—591no—
1308#121—591no—
1309#121—591no—
1310#121—591no—
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#121—1181no—
1323#121—1181no—
1324#121—1181no—
1325#121—1181no—
1326#121—1181no—
1327#121—1181no—
1328#121—1181no—
1329#121—1181no—
1330#121—1181no—
1331#121—1181no—
1332#121C22×D5911yescharacteristic
1333#121C22×D5911yescharacteristic
1334#120—1181no—
1335#120—1181no—
1336#120—1181no—
1337#120—1181no—
1338#120—1181no—
1339#120—1181no—
1340#120—1181no—
1341#120—1181no—
1342#120—1181no—
1343#120—1181no—
1344#120—1181no—
1345#120—1181no—
1346#120—1181no—
1347#120—1181no—
1348C4×Q8—591no—
1349C4×Q8—591no—
1350C4×Q8—591no—
1351C4×Q8—1181no—
1352C4×D4—21no—
1353C4×D4—591no—
1354C4×D4—591no—
1355C4×D4—591no—
1356C4×D4—591no—
1357C4×D4—591no—
1358C4×D4—591no—
1359C4×D4—591no—
1360C4×D4—1181no—
1361C4×D4—1181no—
1362C4×D4—1181no—
1363C4×D4—1181no—
1364C4×D4—1181no—
1365C4×D4—1181no—
1366C4×D4—1181no—
1367C4×D4—1181no—
1368C4×D4—1181no—
1369C4×D4—1181no—
1370C4×D4C22×D5911yescharacteristic
1371C4×D4C22×D5911yescharacteristic
1372#117—591no—
1373#117—591no—
1374#117—591no—
1375#117—1181no—
1376#117—1181no—
1377C2×C4⋊C4—591no—
1378C2×C4⋊C4—591no—
1379C2×C22⋊C4—21no—
1380C2×C22⋊C4—21no—
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—1181no—
1388C2×C42C22×D5911yescharacteristic
1389#107—591no—
1390#107—591no—
1391#107—591no—
1392#107—591no—
1393#106—591no—
1394#106—591no—
1395#106—591no—
1396#106—591no—
1397C4⋊C8—591no—
1398C4⋊C8—591no—
1399C4⋊C8C22×D5911yescharacteristic
1400C4⋊C8C22×D5911yescharacteristic
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#103C22×D5911yescharacteristic
1412#103C22×D5911yescharacteristic
1413#103C22×D5911yescharacteristic
1414#103C22×D5911yescharacteristic
1415#102—591no—
1416#102—591no—
1417#102—591no—
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#102—591no—
1429#102C22×D5911yescharacteristic
1430#102C22×D5911yescharacteristic
1431#102C22×D5911yescharacteristic
1432#102C22×D5911yescharacteristic
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⋊C8—591no—
1443C22⋊C8C22×D5911yescharacteristic
1444C22⋊C8C22×D5911yescharacteristic
1445#97C22×D5911yescharacteristic
1446#97C22×D5911yescharacteristic
1447C4×C8—591no—
1448C4×C8—591no—
1449C24—21no—
1450C24—1181no—
1451C24—1181no—
1452C24—1181no—
1453C24—1181no—
1454#41—82no—
1455#41—1182no—
1456#41—1182no—
1457#41—1182no—
1458#41—1182no—
1459#41—1182no—
1460#41—1182no—
1461#41—4722no—
1462#41—2361no—
1463#41—2361no—
1464#41—2361no—
1465#41—2361no—
1466#41—2364no—
1467#41—2364no—
1468#41—2361no—
1469#41—2361no—
1470#41—2361no—
1471#41—2361no—
1472#41—2361no—
1473#41—2361no—
1474#41—2364no—
1475#41—2361no—
1476#41—2361no—
1477#41—2364no—
1478C2×Q8—21no—
1479C2×Q8—21no—
1480C2×Q8—41no—
1481C2×Q8—41no—
1482C2×Q8—591no—
1483C2×Q8—591no—
1484C2×Q8—591no—
1485C2×Q8—591no—
1486C2×Q8—1181no—
1487C2×Q8—1181no—
1488C2×Q8—1182no—
1489C2×Q8—1182no—
1490C2×Q8—2361no—
1491C2×Q8—2361no—
1492C2×Q8—2364no—
1493C2×Q8C23×D5911yescharacteristic
1494C2×Q8C23×D5911yescharacteristic
1495C2×D4—21no—
1496C2×D4—21no—
1497C2×D4—21no—
1498C2×D4—21no—
1499C2×D4—21no—
1500C2×D4—41no—
1501C2×D4—41no—
1502C2×D4—591no—
1503C2×D4—591no—
1504C2×D4—591no—
1505C2×D4—591no—
1506C2×D4—591no—
1507C2×D4—591no—
1508C2×D4—591no—
1509C2×D4—591no—
1510C2×D4—591no—
1511C2×D4—591no—
1512C2×D4—591no—
1513C2×D4—591no—
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—1182no—
1523C2×D4—1182no—
1524C2×D4—1181no—
1525C2×D4—1181no—
1526C2×D4—1181no—
1527C2×D4—1181no—
1528C2×D4—1181no—
1529C2×D4—1181no—
1530C2×D4—1181no—
1531C2×D4—1181no—
1532C2×D4—1181no—
1533C2×D4—1181no—
1534C2×D4—1181no—
1535C2×D4—1181no—
1536C2×D4—1181no—
1537C2×D4—1181no—
1538C2×D4—4722no—
1539C2×D4—2361no—
1540C2×D4—2361no—
1541C2×D4—2361no—
1542C2×D4—2361no—
1543C2×D4—2361no—
1544C2×D4—2361no—
1545C2×D4—2364no—
1546C2×D4—2364no—
1547C2×D4—2364no—
1548C2×D4C23×D5911yescharacteristic
1549C2×D4C23×D5911yescharacteristic
1550C2×D4C23×D5911yescharacteristic
1551C2×D4C23×D5911yescharacteristic
1552C22×C4—21no—
1553C22×C4—21no—
1554C22×C4—21no—
1555C22×C4—591no—
1556C22×C4—591no—
1557C22×C4—591no—
1558C22×C4—591no—
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—1181no—
1569C22×C4—1181no—
1570C22×C4—1181no—
1571C22×C4—1181no—
1572C22×C4—1181no—
1573C22×C4D4×D5911yescharacteristic
1574C22×C4D4×D5911yescharacteristic
1575C22×C4C23×D5911yescharacteristic
1576Q16—1182no—
1577Q16—2361no—
1578Q16—2361no—
1579SD16—41no—
1580SD16—41no—
1581SD16—41no—
1582SD16—41no—
1583SD16—1182no—
1584SD16—1182no—
1585SD16—1182no—
1586SD16—1182no—
1587SD16—2361no—
1588SD16—2361no—
1589SD16—2361no—
1590SD16—2361no—
1591D8—41no—
1592D8—41no—
1593D8—41no—
1594D8—41no—
1595D8—1182no—
1596D8—1182no—
1597D8—1182no—
1598D8—2361no—
1599D8—2361no—
1600M16—2361no—
1601M16—2361no—
1602M16—2361no—
1603M16—2361no—
1604C2×C8—591no—
1605C2×C8—591no—
1606C2×C8—591no—
1607C2×C8—591no—
1608C2×C8—2361no—
1609C2×C8—2361no—
1610C2×C8—2361no—
1611C2×C8—2361no—
1612C2×C8C23×D5911yescharacteristic
1613C2×C8C23×D5911yescharacteristic
1614C2×C8C23×D5911yescharacteristic
1615C2×C8C23×D5911yescharacteristic
1616C4⋊C4—21no—
1617C4⋊C4—591no—
1618C4⋊C4—591no—
1619C4⋊C4—591no—
1620C4⋊C4—591no—
1621C4⋊C4—591no—
1622C4⋊C4—591no—
1623C4⋊C4—591no—
1624C4⋊C4—591no—
1625C4⋊C4—1181no—
1626C4⋊C4—1181no—
1627C4⋊C4—1181no—
1628C4⋊C4—1181no—
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⋊C4C23×D5911yescharacteristic
1640C4⋊C4C23×D5911yescharacteristic
1641C22⋊C4—21no—
1642C22⋊C4—21no—
1643C22⋊C4—21no—
1644C22⋊C4—21no—
1645C22⋊C4—21no—
1646C22⋊C4—21no—
1647C22⋊C4—21no—
1648C22⋊C4—21no—
1649C22⋊C4—21no—
1650C22⋊C4—21no—
1651C22⋊C4—21no—
1652C22⋊C4—21no—
1653C22⋊C4—591no—
1654C22⋊C4—591no—
1655C22⋊C4—591no—
1656C22⋊C4—591no—
1657C22⋊C4—591no—
1658C22⋊C4—591no—
1659C22⋊C4—591no—
1660C22⋊C4—591no—
1661C22⋊C4—1181no—
1662C22⋊C4—1181no—
1663C22⋊C4—1181no—
1664C22⋊C4—1181no—
1665C22⋊C4—1181no—
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—
1687C42—1181no—
1688C42—1181no—
1689C42—1181no—
1690C42—1181no—
1691C42—1181no—
1692C42—1181no—
1693C42D4×D5911yescharacteristic
1694C42D4×D5911yescharacteristic
1695C42C23×D5911yescharacteristic
1696C42C23×D5911yescharacteristic
1697C23—21no—
1698C23—21no—
1699C23—21no—
1700C23—21no—
1701C23—42no—
1702C23—81no—
1703C23—81no—
1704C23—591no—
1705C23—591no—
1706C23—591no—
1707C23—591no—
1708C23—1181no—
1709C23—1181no—
1710C23—4721no—
1711C23—4721no—
1712C23—4721no—
1713C23—4721no—
1714C23—4721no—
1715C23—4721no—
1716C23—4721no—
1717C23—4721no—
1718C23—4721no—
1719C23—4721no—
1720C23—2362no—
1721C23—2362no—
1722C23C2×D4×D5911yescharacteristic
1723Q8—21no—
1724Q8—21no—
1725Q8—21no—
1726Q8—21no—
1727Q8—42no—
1728Q8—42no—
1729Q8—592no—
1730Q8—1181no—
1731Q8—1181no—
1732Q8—1181no—
1733Q8—2361no—
1734Q8—2361no—
1735Q8—2362no—
1736Q8—2362no—
1737D4—21no—
1738D4—21no—
1739D4—21no—
1740D4—21no—
1741D4—21no—
1742D4—21no—
1743D4—21no—
1744D4—21no—
1745D4—42no—
1746D4—42no—
1747D4—81no—
1748D4—81no—
1749D4—81no—
1750D4—592no—
1751D4—1184no—
1752D4—1181no—
1753D4—1181no—
1754D4—1181no—
1755D4—4721no—
1756D4—4721no—
1757D4—4721no—
1758D4—4721no—
1759D4—4721no—
1760D4—4721no—
1761D4—4721no—
1762D4—4721no—
1763D4—4721no—
1764D4—4721no—
1765D4—4721no—
1766D4—4721no—
1767D4—4721no—
1768D4—4721no—
1769D4—4721no—
1770D4—2361no—
1771D4—2361no—
1772D4—2361no—
1773D4—2361no—
1774D4—2361no—
1775D4—2361no—
1776D4—2362no—
1777D4—2362no—
1778D4—2361no—
1779D4—2361no—
1780D4—2361no—
1781D4—2361no—
1782D4—2362no—
1783D4—2362no—
1784D4—2362no—
1785D4—2362no—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—41no—
1793C2×C4—41no—
1794C2×C4—42no—
1795C2×C4—81no—
1796C2×C4—81no—
1797C2×C4—591no—
1798C2×C4—591no—
1799C2×C4—591no—
1800C2×C4—591no—
1801C2×C4—1184no—
1802C2×C4—1181no—
1803C2×C4—1181no—
1804C2×C4—1181no—
1805C2×C4—1181no—
1806C2×C4—1181no—
1807C2×C4—1181no—
1808C2×C4—1181no—
1809C2×C4—1181no—
1810C2×C4—1181no—
1811C2×C4—1181no—
1812C2×C4—1181no—
1813C2×C4—1181no—
1814C2×C4—1181no—
1815C2×C4—1181no—
1816C2×C4—4721no—
1817C2×C4—4721no—
1818C2×C4—4721no—
1819C2×C4—4721no—
1820C2×C4—4721no—
1821C2×C4—4721no—
1822C2×C4—2362no—
1823C2×C4—2362no—
1824C2×C4—2362no—
1825C2×C4—2362no—
1826C2×C4—2362no—
1827C2×C4—2362no—
1828C2×C4—2362no—
1829C2×C4C2×D4×D5911yescharacteristic
1830C2×C4C2×D4×D5911yescharacteristic
1831C2×C4C2×D4×D5911yescharacteristic
1832C2×C4C2×D4×D5911yescharacteristic
1833C2×C4C2×D4×D5911yescharacteristic
1834C2×C4C24×D5911yescharacteristic
1835C8—21no—
1836C8—21no—
1837C8—21no—
1838C8—21no—
1839C8—1181no—
1840C8—1181no—
1841C8—1181no—
1842C8—1181no—
1843C22—21no—
1844C22—21no—
1845C22—21no—
1846C22—41no—
1847C22—41no—
1848C22—41no—
1849C22—41no—
1850C22—41no—
1851C22—41no—
1852C22—41no—
1853C22—41no—
1854C22—41no—
1855C22—41no—
1856C22—41no—
1857C22—41no—
1858C22—162no—
1859C22—1182no—
1860C22—1181no—
1861C22—1181no—
1862C22—1181no—
1863C22—1181no—
1864C22—1181no—
1865C22—1181no—
1866C22—1181no—
1867C22—1181no—
1868C22—1181no—
1869C22—1181no—
1870C22—1181no—
1871C22—1181no—
1872C22—9442no—
1873C22—9442no—
1874C22—9442no—
1875C22—9442no—
1876C22—2361no—
1877C22—2361no—
1878C22—2361no—
1879C22—2361no—
1880C22—2361no—
1881C22C22×D4×D5911yescharacteristic
1882C4—21no—
1883C4—21no—
1884C4—21no—
1885C4—21no—
1886C4—21no—
1887C4—41no—
1888C4—41no—
1889C4—41no—
1890C4—41no—
1891C4—1181no—
1892C4—1181no—
1893C4—1181no—
1894C4—1181no—
1895C4—1182no—
1896C4—2361no—
1897C4—2361no—
1898C4—2361no—
1899C4—2361no—
1900C4—2361no—
1901C4H(5,𝔽2)×D5911yescharacteristic
1902C4H(5,𝔽2)×D5911yescharacteristic
1903C2—41no—
1904C2—81no—
1905C2—81no—
1906C2—81no—
1907C2—81no—
1908C2—4721no—
1909C2—2361no—
1910C2—2361no—
1911C2—2361no—
1912C2—2361no—
1913C2—2362no—
1914C2#2143773011yescharacteristic
1915C2#2143886911yescharacteristic
1916C2#2143887211yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3213C2
socleC22×C59C23×D4
hypercenter#3213D59
hypocenterC59#61690
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3213

Complements

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

NH ≅ G/Ntype
1. #21438462C2semidirect
2. #21437886C2semidirect
3. #21436356C2semidirect
4. #21436304C2semidirect
5. #21436161C2semidirect
6. #21436131C2semidirect
7. #21436086C2semidirect
8. #21436056C2semidirect
9. #21436005C2semidirect
10. #21435953C2semidirect
11. #21435809C2semidirect
12. #21435776C2semidirect
13. #21435733C2semidirect
14. #21435702C2semidirect
15. #21435680C2semidirect
16. #21435635C2semidirect
17. #21435590C2semidirect
18. #21435575C2semidirect
19. #21435061C2semidirect
20. #21434974C2semidirect
21. #21434966C2semidirect
22. #21434959C2semidirect
23. #21434944C2semidirect
24. #21434207C2semidirect
25. #21434150C2semidirect
26. #21433406C2semidirect
27. #21433395C2semidirect
28. #21433377C2semidirect
29. #21433359C2semidirect
30. #21433174C2semidirect
31. C59×#3213C2semidirect
32. C2×#14273775C22semidirect
33. C2×#14273772C22semidirect
34. C2×#14273756C22semidirect
35. C2×#14273754C22semidirect
37. C2×#14273751C22semidirect
38. C2×#14273748C22semidirect
39. C2×#14273746C22semidirect
40. C2×SD16×D59C22semidirect
44. #16838126C22semidirect
45. #16838102C22semidirect
46. #16838102C22semidirect
47. #16838072C22semidirect
50. #16838060C22semidirect
51. #16838060C22semidirect
52. #16838060C22semidirect
53. #16838055C22semidirect
54. #16838047C22semidirect
55. #16838047C22semidirect
57. #16838045C22semidirect
58. #16838045C22semidirect
59. #16838045C22semidirect
65. #16838037C22semidirect
70. #16837981C22semidirect
71. #16837976C22semidirect
75. #16837969C22semidirect
77. #16837968C22semidirect
80. #16837936C22semidirect
82. C4×#11745685C22semidirect
83. #16837784C22semidirect
84. #16837784C22semidirect
85. #16837756C22semidirect
86. #16837756C22semidirect
87. #16837744C22semidirect
88. #16837742C22semidirect
89. #16837741C22semidirect
90. #16837736C22semidirect
91. #16837731C22semidirect
92. #16837727C22semidirect
93. #16837725C22semidirect
94. #16837724C22semidirect
95. #16837723C22semidirect
96. #16837723C22semidirect
97. #16837719C22semidirect
98. #16837714C22semidirect
99. #16837710C22semidirect
100. #16837703C22semidirect
101. #16837694C22semidirect
102. #16837689C22semidirect
103. #16837659C22semidirect
104. #16837654C22semidirect
105. #16837652C22semidirect
106. #16837652C22semidirect
107. #16837651C22semidirect
108. #16837647C22semidirect
109. #16837645C22semidirect
110. #16837645C22semidirect
111. #16837642C22semidirect
112. #16837637C22semidirect
113. #16837635C22semidirect
114. #16837635C22semidirect
115. #16837634C22semidirect
116. #16837630C22semidirect
117. #16837628C22semidirect
118. #16837628C22semidirect
119. #16837625C22semidirect
120. #16837621C22semidirect
121. #16837621C22semidirect
122. #16837618C22semidirect
123. #16837614C22semidirect
124. #16837614C22semidirect
125. #16837599C22semidirect
126. #16837594C22semidirect
127. #16837567C22semidirect
128. #16837566C22semidirect
129. #16837565C22semidirect
130. #16837561C22semidirect
131. #16837561C22semidirect
132. #16837559C22semidirect
133. #16837558C22semidirect
134. #16837554C22semidirect
135. #16837553C22semidirect
136. #16837551C22semidirect
137. #16837551C22semidirect
138. #16837550C22semidirect
141. #16837546C22semidirect
142. #16837546C22semidirect
143. #16837545C22semidirect
144. #16837545C22semidirect
146. #16837544C22semidirect
147. #16837544C22semidirect
148. #16837544C22semidirect
149. #16837542C22semidirect
150. #16837541C22semidirect
151. #16837539C22semidirect
152. #16837539C22semidirect
156. #16837534C22semidirect
157. #16837534C22semidirect
158. #16837534C22semidirect
159. #16837515C22semidirect
160. #16837510C22semidirect
161. #16837504C22semidirect
162. #16837504C22semidirect
163. C4×#11745670C22semidirect
164. C4×#11745670C22semidirect
165. C4×#11745669C22semidirect
166. C4×#11745669C22semidirect
167. #16837479C22semidirect
168. #16837479C22semidirect
169. #16837475C22semidirect
170. #16837475C22semidirect
171. #16837475C22semidirect
172. #16837475C22semidirect
173. #16837467C22semidirect
174. #16837467C22semidirect
175. #16837455C22semidirect
176. #16837409C22semidirect
177. #16837405C22semidirect
178. #16837402C22semidirect
179. #16837400C22semidirect
180. #16837397C22semidirect
181. #16837395C22semidirect
182. #103×D59C22semidirect
183. #102×D59C22semidirect
184. #16837367C22semidirect
185. #16837367C22semidirect
186. #16837367C22semidirect
187. #16837367C22semidirect
188. C59×#532C22semidirect
189. C2×#124×C59C22semidirect
190. C59×#496C22semidirect
191. C59×#496C22semidirect
192. C59×#489C22semidirect
193. C59×#489C22semidirect
194. C59×#463C22semidirect
195. C59×#463C22semidirect
196. C59×#463C22semidirect
197. C59×#463C22semidirect
198. C59×#448C22semidirect
199. C59×#448C22semidirect
200. C59×#447C22semidirect
201. C59×#447C22semidirect
202. C59×#432C22semidirect
963. #3213D59semidirect
1038. #532C2×D59semidirect
1041. C2×#124C2×D59semidirect
1043. #496C2×D59semidirect
1044. #496C2×D59semidirect
1047. #489C2×D59semidirect
1048. #489C2×D59semidirect
1089. #463C2×D59semidirect
1090. #463C2×D59semidirect
1091. #463C2×D59semidirect
1092. #463C2×D59semidirect
1121. #448C2×D59semidirect
1122. #448C2×D59semidirect
1129. #447C2×D59semidirect
1130. #447C2×D59semidirect
1147. #432C2×D59semidirect
1161. C59#61690semidirect

Maximal subgroups

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

subgroupindex
#214384622
#214378862
#214363562
#214363042
#214361612
#214361312
#214360862
#214360562
#214360052
#214359532
#214358092
#214357762
#214357332
#214357022
#214356802
#214356352
#214355902
#214355752
#214350612
#214349742
#214349662
#214349592
#214349442
#214342072
#214341502
#214334062
#214333952
#214333772
#214333592
#214331742
C59×#32132
#6169059