Finite Group Databasebeta

← #29474609

Subgroups — #29474609

Order 15104.

2156 conjugacy classes of subgroups.

The subgroup lattice has 1934 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438314C211yesmaximal, characteristic, complemented
2#21437760C211yesmaximal, characteristic, complemented
3#21436432C211yesmaximal, characteristic, complemented
4#21436429C211yesmaximal, characteristic, complemented
5#21436183C211yesmaximal, characteristic, complemented
6#21436175C211yesmaximal, characteristic, complemented
7#21436090C211yesmaximal, characteristic, complemented
8#21436082C211yesmaximal, characteristic, complemented
9#21435907C211yesmaximal, characteristic, complemented
10#21435904C211yesmaximal, characteristic, complemented
11#21435840C211yesmaximal, characteristic, complemented
12#21435835C211yesmaximal, characteristic, complemented
13#21435704C211yesmaximal, characteristic, complemented
14#21435700C211yesmaximal, characteristic, complemented
15#21435640C211yesmaximal, characteristic, complemented
16#21435633C211yesmaximal, characteristic, complemented
17#21435598C211yesmaximal, characteristic, complemented
18#21435594C211yesmaximal, characteristic, complemented
19#21435196C211yesmaximal, characteristic, complemented
20#21435188C211yesmaximal, characteristic, complemented
21#21434993C211yesmaximal, characteristic, complemented
22#21434901C211yesmaximal, characteristic, complemented
23#21434846C211yesmaximal, characteristic, complemented
24#21434361C211yesmaximal, characteristic, complemented
25#21434353C211yesmaximal, characteristic, complemented
26#21433403C211yesmaximal, characteristic, complemented
27#21433397C211yesmaximal, characteristic, complemented
28#21433345C211yesmaximal, characteristic, complemented
29#452×D59C211yesmaximal, characteristic, complemented
30#21433139C211yesmaximal, characteristic, complemented
31C59×#3203C211yesmaximal, characteristic, complemented
32C2×#14273773C2211yescharacteristic, complemented
33C2×#41×D59C2211yescharacteristic
34C2×#14273755C2211yescharacteristic, complemented
35C2×#14273754C2211yescharacteristic, complemented
36C2×#14273752C2211yescharacteristic, complemented
37C2×#14273751C2211yescharacteristic, complemented
38C2×#14273749C2211yescharacteristic, complemented
39C2×#14273747C2211yescharacteristic, complemented
40C2×Q16×D59C2211yescharacteristic, complemented
41C2×SD16×D59C2211yescharacteristic, complemented
42#16838147—21no—
43#16838147—21no—
44#16838110C2211yescharacteristic, complemented
45#16838107C2211yescharacteristic, complemented
46#16838070C2211yescharacteristic
47#16838070C2211yescharacteristic
48#16838062C2211yescharacteristic, complemented
49#16838062C2211yescharacteristic, complemented
50#16838062C2211yescharacteristic, complemented
51#16838059C2211yescharacteristic, complemented
52#16838053C2211yescharacteristic, complemented
53#16838052C2211yescharacteristic, complemented
54#16838049—21no—
55#16838049C2211yescharacteristic, complemented
56#16838043C2211yescharacteristic
57#16838043C2211yescharacteristic
58#16838041—21no—
59#16838041—21no—
60#16838041—21no—
61#16838040C2211yescharacteristic, complemented
62#16838036—21no—
63#16838036—21no—
64#16838036C2211yescharacteristic, complemented
65#16838036C2211yescharacteristic, complemented
66#16838027—21no—
67#16838025C2211yescharacteristic, complemented
68#16838019C2211yescharacteristic, complemented
69#16837998—21no—
70#16837984—21no—
71#16837982—21no—
72#16837981—21no—
73#16837980C2211yescharacteristic, complemented
74#16837968—21no—
75#16837966C2211yescharacteristic, complemented
76#16837915—21no—
77#16837909C2211yescharacteristic
78C22⋊Q8×D59C2211yescharacteristic, complemented
79C2×#14273702C2211yescharacteristic
80#121×D59—21no—
81#121×D59C2211yescharacteristic, complemented
82#16837883C2211yescharacteristic, complemented
83#16837790C2211yescharacteristic, complemented
84#16837788C2211yescharacteristic, complemented
85#16837787C2211yescharacteristic, complemented
86#16837783C2211yescharacteristic, complemented
87#16837763C2211yescharacteristic, complemented
88#16837763C2211yescharacteristic, complemented
89#16837747C2211yescharacteristic, complemented
90#16837747C2211yescharacteristic, complemented
91#16837737C2211yescharacteristic, complemented
92#16837735C2211yescharacteristic, complemented
93#16837717C2211yescharacteristic, complemented
94#16837717C2211yescharacteristic, complemented
95#16837717C2211yescharacteristic, complemented
96#16837717C2211yescharacteristic, complemented
97#16837715C2211yescharacteristic, complemented
98#16837713C2211yescharacteristic, complemented
99#16837696C2211yescharacteristic, complemented
100#16837696C2211yescharacteristic, complemented
101#16837681C2211yescharacteristic, complemented
102#16837681C2211yescharacteristic, complemented
103#16837651C2211yescharacteristic, complemented
104#16837651C2211yescharacteristic, complemented
105#16837650C2211yescharacteristic, complemented
106#16837649C2211yescharacteristic, complemented
107#16837649C2211yescharacteristic, complemented
108#16837646C2211yescharacteristic, complemented
109#16837641C2211yescharacteristic, complemented
110#16837639C2211yescharacteristic, complemented
111#16837639C2211yescharacteristic, complemented
112#16837637C2211yescharacteristic, complemented
113#16837637C2211yescharacteristic, complemented
114#16837636C2211yescharacteristic, complemented
115#16837627C2211yescharacteristic, complemented
116#16837627C2211yescharacteristic, complemented
117#16837626C2211yescharacteristic, complemented
118#16837623C2211yescharacteristic, complemented
119#16837620C2211yescharacteristic, complemented
120#16837620C2211yescharacteristic, complemented
121#16837619C2211yescharacteristic, complemented
122#16837616C2211yescharacteristic, complemented
123#16837601C2211yescharacteristic, complemented
124#16837600C2211yescharacteristic, complemented
125#16837596C2211yescharacteristic, complemented
126#16837595C2211yescharacteristic, complemented
127#16837567C2211yescharacteristic, complemented
128#16837566C2211yescharacteristic, complemented
129#16837566C2211yescharacteristic, complemented
130#16837565C2211yescharacteristic, complemented
131#16837564C2211yescharacteristic, complemented
132#16837563C2211yescharacteristic, complemented
133#16837562C2211yescharacteristic, complemented
134#16837562C2211yescharacteristic, complemented
135#16837562C2211yescharacteristic, complemented
136#16837561C2211yescharacteristic, complemented
137#16837555C2211yescharacteristic, complemented
138#16837555C2211yescharacteristic, complemented
139#16837552C2211yescharacteristic, complemented
140#16837552C2211yescharacteristic, complemented
141#16837549C2211yescharacteristic
142#16837549C2211yescharacteristic, complemented
143#16837547C2211yescharacteristic, complemented
144#16837545C2211yescharacteristic
145#16837545C2211yescharacteristic, complemented
146#16837545C2211yescharacteristic, complemented
147#16837542C2211yescharacteristic, complemented
148#16837542C2211yescharacteristic, complemented
149#16837542C2211yescharacteristic, complemented
150#16837539C2211yescharacteristic, complemented
151#16837538C2211yescharacteristic, complemented
152#16837538C2211yescharacteristic, complemented
153#16837537C2211yescharacteristic, complemented
154#16837537C2211yescharacteristic, complemented
155#16837537C2211yescharacteristic, complemented
156#16837535C2211yescharacteristic, complemented
157#16837535C2211yescharacteristic, complemented
158#16837534C2211yescharacteristic, complemented
159#16837505C2211yescharacteristic, complemented
160#16837501C2211yescharacteristic, complemented
161#16837501C2211yescharacteristic, complemented
162#16837499C2211yescharacteristic, complemented
163#16837496C2211yescharacteristic, complemented
164#16837494C2211yescharacteristic, complemented
165#16837484C2211yescharacteristic, complemented
166#16837482C2211yescharacteristic, complemented
167#16837478C2211yescharacteristic, complemented
168#16837477C2211yescharacteristic, complemented
169#16837476C2211yescharacteristic, complemented
170#16837473C2211yescharacteristic, complemented
171#16837471C2211yescharacteristic, complemented
172#16837470C2211yescharacteristic, complemented
173C8×C22⋊D59C2211yescharacteristic, complemented
174(C22⋊D59)⋊C8C2211yescharacteristic, complemented
175#16837460C2211yescharacteristic, complemented
176#16837460C2211yescharacteristic, complemented
177#16837404C2211yescharacteristic, complemented
178#16837402C2211yescharacteristic, complemented
179#16837401C2211yescharacteristic, complemented
180#16837400C2211yescharacteristic, complemented
181#103×D59C2211yescharacteristic, complemented
182C2×#14273649C2211yescharacteristic, complemented
183C2×#14273647C2211yescharacteristic, complemented
184#102×D59C2211yescharacteristic, complemented
185#16837369C2211yescharacteristic, complemented
186#16837364C2211yescharacteristic, complemented
187C22⋊C8×D59C2211yescharacteristic, complemented
188C59×#537C2211yescharacteristic, complemented
189C59×#537C2211yescharacteristic, complemented
190C59×#484C2211yescharacteristic, complemented
191C59×#484C2211yescharacteristic, complemented
192C59×#480C2211yescharacteristic, complemented
193C59×#480C2211yescharacteristic, complemented
194C59×#468C2211yescharacteristic, complemented
195C59×#468C2211yescharacteristic, complemented
196C59×#467C2211yescharacteristic, complemented
197C59×#466C2211yescharacteristic, complemented
198C59×#452C2211yescharacteristic, complemented
199C59×#452C2211yescharacteristic, complemented
200C59×#449C2211yescharacteristic, complemented
201C59×#449C2211yescharacteristic, complemented
202C59×#408C2211yescharacteristic, complemented
203#14273773—42no—
204#14273773—42no—
205C2×#11745689—21no—
206C2×#11745689C2311yescharacteristic
207C2×#11745685—21no—
208C2×#11745685—21no—
209C2×#11745685C2311yescharacteristic
210C2×#11745685C2311yescharacteristic
211C2×#11745685C2311yescharacteristic
212C2×#11745685C2311yescharacteristic
213C2×#11745687—21no—
214C2×#11745687—21no—
215C2×#11745687C2311yescharacteristic
216#41×D59—42no—
217#41×D59—42no—
218C2×Q8×D59C2311yescharacteristic
219C2×Q8×D59C2311yescharacteristic
220C22×D236—21no—
221C22×D236C2311yescharacteristic
222C22×D236C2311yescharacteristic
223C22×D236C2311yescharacteristic
224C2×D4×D59—21no—
225C2×D4×D59—21no—
226C2×D4×D59—21no—
227C2×D4×D59—21no—
228C2×D4×D59—21no—
229C2×D4×D59—21no—
230C2×D4×D59—21no—
231C2×D4×D59C2311yescharacteristic
232C2×D4×D59C2311yescharacteristic
233C22×C4×D59—21no—
234C22×C4×D59C2311yescharacteristic
235#14273755—42no—
236#14273754—42no—
237#14273752—42no—
238#14273751—42no—
239#14273749—42no—
240#14273747—42no—
241C2×Dic236C2311yescharacteristic
242C2×#11745672C2311yescharacteristic
243C2×#11745672C2311yescharacteristic
244Q16×D59—42no—
245C2×#11745660C2311yescharacteristic
246C2×#11745660C2311yescharacteristic
247C2×#11745660C2311yescharacteristic
248C2×#11745660C2311yescharacteristic
249C2×#11745670C2311yescharacteristic
250C2×#11745670C2311yescharacteristic
251C2×#11745671C2311yescharacteristic
252C2×#11745671C2311yescharacteristic
253C2×#11745671C2311yescharacteristic
254C2×#11745671C2311yescharacteristic
255SD16×D59—42no—
256C2×D472C2311yescharacteristic
257C2×D472C2311yescharacteristic
258C2×D472C2311yescharacteristic
259C2×#11745669C2311yescharacteristic
260C2×#11745669C2311yescharacteristic
261C2×#11745669C2311yescharacteristic
262C2×#11745669C2311yescharacteristic
263C2×#11745664C2311yescharacteristic
264C2×#11745659C2311yescharacteristic
265C2×#11745659C2311yescharacteristic
266C22×C59⋊C8C2311yescharacteristic
267C2×C8×D59C2311yescharacteristic
268C2×C8×D59C2311yescharacteristic
269#14273726C2311yescharacteristic
270#14273726C2311yescharacteristic
271#14273723—21no—
272#14273723—21no—
273#14273723C2311yescharacteristic
274#14273723C2311yescharacteristic
275#14273722—21no—
276#14273720—21no—
277#14273717—21no—
278#14273717—21no—
279#14273716C2311yescharacteristic
280#14273716C2311yescharacteristic
281#14273716C2311yescharacteristic
282#14273714—21no—
283#14273714—21no—
284#14273714C2311yescharacteristic
285#14273713—21no—
286#14273713—21no—
287#14273713—21no—
288#14273713—21no—
289#14273712—21no—
290#14273712—21no—
291#14273712—21no—
292#14273710—21no—
293#14273710—21no—
294#14273709—21no—
295#14273709—21no—
296#14273709—21no—
297#14273708—21no—
298#14273708—21no—
299#14273708D411yescharacteristic
300#14273708D411yescharacteristic
301#14273707—21no—
302#14273707—21no—
303#14273707C2311yescharacteristic
304#14273706—21no—
305#14273706—21no—
306#14273706C2311yescharacteristic
307#14273706C2311yescharacteristic
308#14273705—21no—
309#14273705—21no—
310#14273705—21no—
311#14273705—21no—
312#14273705—21no—
313#14273705—21no—
314#14273704—21no—
315#14273704—21no—
316#14273704—21no—
317#14273704—21no—
318#14273703—21no—
319#14273703D411yescharacteristic
320#14273703D411yescharacteristic
321#14273703C2311yescharacteristic
322#14273702—21no—
323#14273702—21no—
324#14273702—21no—
325#14273702—21no—
326#14273702C2311yescharacteristic
327#14273702C2311yescharacteristic
328#14273702C2311yescharacteristic
329#14273702C2311yescharacteristic
330#14273702C2311yescharacteristic
331#14273701—21no—
332#14273701—21no—
333#14273701C2311yescharacteristic
334#14273701C2311yescharacteristic
335#14273700—21no—
336#14273700—21no—
337#14273700—21no—
338#14273700—21no—
339#14273700—21no—
340#14273700—21no—
341#14273700—21no—
342#14273700—21no—
343#14273699—21no—
344#14273699—21no—
345#14273699—21no—
346#14273699—21no—
347#14273699—21no—
348#14273699—21no—
349#14273698—21no—
350#14273698—21no—
351#14273698—21no—
352#14273698D411yescharacteristic
353#14273698D411yescharacteristic
354#14273698C2311yescharacteristic
355#14273697—21no—
356#14273697—21no—
357#14273697—21no—
358#14273697—21no—
359#14273695—21no—
360#14273695—21no—
361#14273695—21no—
362#14273695—21no—
363#14273695—21no—
364#14273695—21no—
365#14273695D411yescharacteristic
366#14273695D411yescharacteristic
367Q8×Dic59C2311yescharacteristic
368#14273692C2311yescharacteristic
369#14273692C2311yescharacteristic
370#14273692C2311yescharacteristic
371D4×Dic59C2311yescharacteristic
372#14273689—21no—
373#14273689—21no—
374#14273689—21no—
375#14273689C2311yescharacteristic
376#14273689C2311yescharacteristic
377#14273689C2311yescharacteristic
378C4×C22⋊D59—21no—
379C4×C22⋊D59—21no—
380C4×C22⋊D59—21no—
381C4×C22⋊D59—21no—
382C4×C22⋊D59C2311yescharacteristic
383C4×C22⋊D59C2311yescharacteristic
384C4×C22⋊D59C2311yescharacteristic
385C4×C22⋊D59C2311yescharacteristic
386(C22⋊D59)⋊C4—21no—
387(C22⋊D59)⋊C4—21no—
388(C22⋊D59)⋊C4—21no—
389#14273686C2311yescharacteristic
390#14273685—21no—
391C2×C4⋊Dic59C2311yescharacteristic
392C4⋊C4×D59—21no—
393C4⋊C4×D59—21no—
394C4⋊C4×D59C2311yescharacteristic
395C4⋊C4×D59C2311yescharacteristic
396C2×(C2×D59)⋊C4—21no—
397C2×(C2×D59)⋊C4—21no—
398C22⋊C4×D59—21no—
399C22⋊C4×D59—21no—
400C22⋊C4×D59—21no—
401C22⋊C4×D59—21no—
402C22⋊C4×D59—21no—
403#14273660C2311yescharacteristic
404#14273660C2311yescharacteristic
405#14273660C2311yescharacteristic
406#14273660C2311yescharacteristic
407Dic59⋊C8C2311yescharacteristic
408Dic59⋊C8C2311yescharacteristic
409Dic59⋊C8C2311yescharacteristic
410Dic59⋊C8C2311yescharacteristic
411#14273652C2311yescharacteristic
412#14273652C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273651C2311yescharacteristic
415#14273650C2311yescharacteristic
416#14273650C2311yescharacteristic
417#14273650C2311yescharacteristic
418#14273650C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273649C2311yescharacteristic
423#14273649C2311yescharacteristic
424#14273649C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273647C2311yescharacteristic
428#14273647C2311yescharacteristic
429#14273647C2311yescharacteristic
430#14273647C2311yescharacteristic
431#14273647C2311yescharacteristic
432#14273647C2311yescharacteristic
433#14273647C2311yescharacteristic
434#14273647C2311yescharacteristic
435C22⋊(C59⋊C8)C2311yescharacteristic
436C22⋊(C59⋊C8)C2311yescharacteristic
437C22⋊(C59⋊C8)C2311yescharacteristic
438C22⋊(C59⋊C8)C2311yescharacteristic
439(C2×D59)⋊C8C2311yescharacteristic
440(C2×D59)⋊C8C2311yescharacteristic
441(C2×D59)⋊C8C2311yescharacteristic
442(C2×D59)⋊C8C2311yescharacteristic
443#14273637C2311yescharacteristic
444#14273637C2311yescharacteristic
445C8×Dic59C2311yescharacteristic
446C8×Dic59C2311yescharacteristic
447C2×#41×C59C2311yescharacteristic
448C2×#41×C59C2311yescharacteristic
449C2×#41×C59C2311yescharacteristic
450C2×Q16×C59C2311yescharacteristic
451C2×SD16×C59C2311yescharacteristic
452C2×SD16×C59C2311yescharacteristic
453C2×D8×C59C2311yescharacteristic
454C2×M16×C59C2311yescharacteristic
455C22×C8×C59C2311yescharacteristic
456C22⋊Q8×C59—21no—
457C22⋊Q8×C59—21no—
458C22⋊Q8×C59C2311yescharacteristic
459C22⋊Q8×C59C2311yescharacteristic
460C22⋊Q8×C59C2311yescharacteristic
461C22⋊Q8×C59C2311yescharacteristic
462#121×C59—21no—
463#121×C59—21no—
464#121×C59—21no—
465#121×C59—21no—
466#121×C59—21no—
467#121×C59—21no—
468#121×C59C2311yescharacteristic
469#121×C59C2311yescharacteristic
470#121×C59C2311yescharacteristic
471#121×C59C2311yescharacteristic
472C2×C4⋊C4×C59C2311yescharacteristic
473C2×C4⋊C4×C59C2311yescharacteristic
474#107×C59C2311yescharacteristic
475#107×C59C2311yescharacteristic
476#107×C59C2311yescharacteristic
477#107×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
488C22⋊C8×C59C2311yescharacteristic
489C22⋊C8×C59C2311yescharacteristic
490C23×D59—21no—
491C23×D59—21no—
492C23×D59—21no—
493C23×D59—21no—
494C23×D59—21no—
495C23×D59C2×D411yescharacteristic
496#41×C59—41no—
497#41×C59—41no—
498#41×C59—41no—
499#41×C59—41no—
500#41×C59—41no—
501#41×C59—41no—
502C2×Q8×C59C2×D411yescharacteristic
503C2×Q8×C59C2411yescharacteristic
504C2×Q8×C59C2411yescharacteristic
505C2×D4×C59—21no—
506C2×D4×C59—21no—
507C2×D4×C59—21no—
508C2×D4×C59—21no—
509C2×D4×C59—21no—
510C2×D4×C59—21no—
511C2×D4×C59C2×D411yescharacteristic
512C2×D4×C59C2×D411yescharacteristic
513C2×D4×C59C2×D411yescharacteristic
514C2×D4×C59C2411yescharacteristic
515C2×D4×C59C2411yescharacteristic
516C22×C4×C59—21no—
517C22×C4×C59—21no—
518C22×C4×C59—21no—
519C22×C4×C59—21no—
520C22×C4×C59C2411yescharacteristic
521C22×C4×C59C2411yescharacteristic
522C22×C4×C59C2411yescharacteristic
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⋊D59C2×D411yescharacteristic
538C2×C22⋊D59C2×D411yescharacteristic
539C2×C22⋊D59C2×D411yescharacteristic
540C2×C22⋊D59C2×D411yescharacteristic
541C22×Dic59—21no—
542C22×Dic59—21no—
543C22×Dic59—21no—
544C22×Dic59C2×D411yescharacteristic
545#11745689—22no—
546#11745689—41no—
547#11745689—44no—
548Q8×D59—22no—
549Q8×D59—41no—
550Q8×D59—41no—
551Q8×D59—41no—
552#11745687—22no—
553#11745687—41no—
554#11745687—44no—
555#11745687—82no—
556D4×D59—22no—
557D4×D59—41no—
558D4×D59—41no—
559D4×D59—41no—
560D4×D59—44no—
561D4×D59—44no—
562D4×D59—44no—
563D4×D59—44no—
564D4×D59—82no—
565D4×D59—82no—
566D4×D59—82no—
567#11745685—22no—
568#11745685—22no—
569#11745685—22no—
570#11745685—22no—
571#11745685—41no—
572#11745685—41no—
573#11745685—41no—
574#11745685—41no—
575#11745685—44no—
576#11745685—82no—
577C2×D236—22no—
578C2×D236—22no—
579C2×D236—21no—
580C2×D236—21no—
581C2×D236—21no—
582C2×D236—21no—
583C2×D236—21no—
584C2×D236—21no—
585C2×D236—21no—
586C2×D236—21no—
587C2×D236—21no—
588C2×D236—41no—
589C2×D236—41no—
590C2×D236—41no—
591C2×D236—41no—
592C2×D236—82no—
593C2×D236C2411yescharacteristic
594C2×D236C2411yescharacteristic
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×D59—21no—
608C2×C4×D59—21no—
609C2×C4×D59—41no—
610C2×C4×D59—41no—
611C2×C4×D59—44no—
612C2×C4×D59C2×D411yescharacteristic
613C2×C4×D59C2×D411yescharacteristic
614C2×C4×D59C2411yescharacteristic
615C2×C4×D59C2411yescharacteristic
616C2×Dic118—21no—
617C2×Dic118—21no—
618C2×Dic118—21no—
619C2×Dic118—21no—
620C2×Dic118C2411yescharacteristic
621C2×Dic118C2411yescharacteristic
622Q16×C59—41no—
623SD16×C59—41no—
624SD16×C59—41no—
625D8×C59—41no—
626M16×C59—41no—
627C2×C8×C59—41no—
628C2×C8×C59C2411yescharacteristic
629C2×C8×C59C2411yescharacteristic
630C2×C8×C59C2411yescharacteristic
631C2×C8×C59C2411yescharacteristic
632C4⋊C4×C59—21no—
633C4⋊C4×C59—21no—
634C4⋊C4×C59—21no—
635C4⋊C4×C59—21no—
636C4⋊C4×C59—21no—
637C4⋊C4×C59—21no—
638C4⋊C4×C59C2411yescharacteristic
639C4⋊C4×C59C2411yescharacteristic
640C4⋊C4×C59C2411yescharacteristic
641C4⋊C4×C59C2411yescharacteristic
642C22⋊C4×C59—21no—
643C22⋊C4×C59—21no—
644C22⋊C4×C59—21no—
645C22⋊C4×C59—21no—
646C22⋊C4×C59—21no—
647C22⋊C4×C59—21no—
648C22⋊C4×C59—21no—
649C22⋊C4×C59—21no—
650C22⋊Dic59—21no—
651C22⋊Dic59—21no—
652C22⋊Dic59—21no—
653C22⋊Dic59—21no—
654C22⋊Dic59—21no—
655C22⋊Dic59—21no—
656C22⋊Dic59C2×D411yescharacteristic
657C22⋊Dic59C2×D411yescharacteristic
658C22⋊Dic59C2×D411yescharacteristic
659C22⋊Dic59C2×D411yescharacteristic
660C22⋊Dic59C2×D411yescharacteristic
661C22⋊Dic59C2×D411yescharacteristic
662#11745672—22no—
663#11745672—41no—
664#11745671—22no—
665#11745671—41no—
666#11745671—41no—
667#11745671—41no—
668#11745670—22no—
669#11745670—41no—
670#11745669—22no—
671#11745669—41no—
672#11745669—41no—
673#11745669—41no—
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)⋊C4—21no—
690(C2×D59)⋊C4—21no—
691(C2×D59)⋊C4—21no—
692(C2×D59)⋊C4C2×D411yescharacteristic
693(C2×D59)⋊C4C2×D411yescharacteristic
694(C2×D59)⋊C4C2×D411yescharacteristic
695(C2×D59)⋊C4C2×D411yescharacteristic
696C4⋊Dic59—21no—
697C4⋊Dic59—21no—
698C4⋊Dic59—21no—
699C4⋊Dic59C2×D411yescharacteristic
700C4⋊Dic59C2×D411yescharacteristic
701C4⋊Dic59C2411yescharacteristic
702C4⋊Dic59C2411yescharacteristic
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⋊C4C2×D411yescharacteristic
714Dic59⋊C4C2×D411yescharacteristic
715Dic59⋊C4C2×D411yescharacteristic
716Dic59⋊C4C2×D411yescharacteristic
717C4×Dic59—21no—
718C4×Dic59—21no—
719C4×Dic59—21no—
720C4×Dic59—21no—
721C4×Dic59C2411yescharacteristic
722C4×Dic59C2411yescharacteristic
723#11745664—41no—
724C2×C59⋊C8—41no—
725C2×C59⋊C8C2411yescharacteristic
726C2×C59⋊C8C2411yescharacteristic
727C2×C59⋊C8C2411yescharacteristic
728C2×C59⋊C8C2411yescharacteristic
729Dic236—22no—
730D472—22no—
731D472—41no—
732D472—41no—
733#11745660—22no—
734#11745660—22no—
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
745C23×C59C22×D411yescharacteristic
746C22×D59—21no—
747C22×D59—22no—
748C22×D59—21no—
749C22×D59—21no—
750C22×D59—21no—
751C22×D59—41no—
752C22×D59—41no—
753C22×D59—42no—
754C22×D59—42no—
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×D59—81no—
764C22×D59—81no—
765C22×D59—81no—
766C22×D59—81no—
767C22×D59—81no—
768C22×D59C22×D411yescharacteristic
769C22×D59C22×D411yescharacteristic
770Q8×C59—21no—
771Q8×C59—21no—
772Q8×C59—21no—
773Q8×C59—21no—
774Q8×C59—41no—
775D4×C59—21no—
776D4×C59—21no—
777D4×C59—21no—
778D4×C59—21no—
779D4×C59—41no—
780D4×C59—41no—
781D4×C59—41no—
782D4×C59—42no—
783D4×C59—81no—
784D4×C59—81no—
785D4×C59—81no—
786D4×C59—81no—
787D4×C59—81no—
788C2×C4×C59—21no—
789C2×C4×C59—21no—
790C2×C4×C59—21no—
791C2×C4×C59—21no—
792C2×C4×C59—21no—
793C2×C4×C59—21no—
794C2×C4×C59—21no—
795C2×C4×C59—21no—
796C2×C4×C59—21no—
797C2×C4×C59—21no—
798C2×C4×C59—21no—
799C2×C4×C59—21no—
800C2×C4×C59—42no—
801C2×C4×C59—81no—
802C2×C4×C59—81no—
803C2×C4×C59—81no—
804C2×C4×C59C22×D411yescharacteristic
805C2×C4×C59C22×D411yescharacteristic
806C2×C4×C59C22×D411yescharacteristic
807C2×C4×C59C2511yescharacteristic
808C22⋊D59—24no—
809C22⋊D59—22no—
810C22⋊D59—22no—
811C22⋊D59—41no—
812C22⋊D59—41no—
813C22⋊D59—42no—
814C22⋊D59—42no—
815C22⋊D59—42no—
816C22⋊D59—42no—
817C22⋊D59—42no—
818C22⋊D59—81no—
819C22⋊D59—81no—
820C22⋊D59—81no—
821C22⋊D59—81no—
822C22⋊D59—81no—
823C22⋊D59—81no—
824C22⋊D59—81no—
825C22⋊D59—81no—
826C2×Dic59—21no—
827C2×Dic59—21no—
828C2×Dic59—21no—
829C2×Dic59—21no—
830C2×Dic59—41no—
831C2×Dic59—42no—
832C2×Dic59—81no—
833C2×Dic59—81no—
834C2×Dic59C22×D411yescharacteristic
835C2×Dic59C22×D411yescharacteristic
836C2×Dic59C22×D411yescharacteristic
837C2×Dic59C22×D411yescharacteristic
838C2×Dic59C22×D411yescharacteristic
839C2×Dic59C22×D411yescharacteristic
840D236—21no—
841D236—21no—
842D236—21no—
843D236—21no—
844D236—21no—
845D236—21no—
846D236—21no—
847D236—42no—
848D236—42no—
849D236—42no—
850D236—42no—
851D236—42no—
852D236—42no—
853D236—42no—
854D236—81no—
855D236—81no—
856D236H(5,𝔽2)12yes—
857C4×D59—24no—
858C4×D59—21no—
859C4×D59—21no—
860C4×D59—21no—
861C4×D59—21no—
862C4×D59—41no—
863C4×D59—41no—
864C4×D59—42no—
865C4×D59—42no—
866C4×D59—42no—
867C4×D59—42no—
868C4×D59—42no—
869C4×D59—81no—
870C4×D59—81no—
871C4×D59—81no—
872C4×D59—81no—
873C4×D59—81no—
874C4×D59—81no—
875Dic118—21no—
876Dic118—21no—
877Dic118—21no—
878Dic118—42no—
879Dic118—81no—
880Dic118—81no—
881Dic118—81no—
882Dic118H(5,𝔽2)12yes—
883C8×C59—21no—
884C8×C59—21no—
885C8×C59—21no—
886C8×C59—21no—
887C59⋊C8—21no—
888C59⋊C8—21no—
889C59⋊C8—21no—
890C59⋊C8—21no—
891#61624—591nomaximal, Sylow
892C22×C59—21no—
893C22×C59—21no—
894C22×C59—21no—
895C22×C59—21no—
896C22×C59—21no—
897C22×C59—21no—
898C22×C59—21no—
899C22×C59—21no—
900C22×C59—21no—
901C22×C59—41no—
902C22×C59—41no—
903C22×C59—41no—
904C22×C59—41no—
905C22×C59—41no—
906C22×C59—41no—
907C22×C59C23×D411yescharacteristic
908C2×D59—21no—
909C2×D59—21no—
910C2×D59—21no—
911C2×D59—22no—
912C2×D59—21no—
913C2×D59—21no—
914C2×D59—41no—
915C2×D59—41no—
916C2×D59—41no—
917C2×D59—41no—
918C2×D59—41no—
919C2×D59—41no—
920C2×D59—41no—
921C2×D59—41no—
922C2×D59—41no—
923C2×D59—41no—
924C2×D59—41no—
925C2×D59—82no—
926C2×D59—84no—
927C2×D59—162no—
928C2×D59—162no—
929C2×D59—162no—
930C2×D59—162no—
931C2×D59#57612yes—
932C4×C59—21no—
933C4×C59—21no—
934C4×C59—21no—
935C4×C59—41no—
936C4×C59—41no—
937C4×C59—41no—
938C4×C59—41no—
939C4×C59—41no—
940C4×C59—41no—
941C4×C59C2×H(5,𝔽2)11yescharacteristic
942C4×C59C2×H(5,𝔽2)11yescharacteristic
943Dic59—21no—
944Dic59—21no—
945Dic59—22no—
946Dic59—21no—
947Dic59—21no—
948Dic59—21no—
949Dic59—21no—
950Dic59—41no—
951Dic59—41no—
952Dic59—41no—
953#3536—591no—
954#3488—591no—
955#3333—591no—
956#3333—591no—
957#3314—591no—
958#3314—591no—
959#3308—591no—
960#3308—591no—
961#3294—591no—
962#3294—591no—
963#3285—591no—
964#3285—591no—
965#3273—591no—
966#3273—591no—
967#3268—591no—
968#3268—591no—
969#3265—591no—
970#3265—591no—
971#3224—591no—
972#3224—591no—
973#3203—591no—
974#3203D5911yescharacteristic, complemented
975#3193—591no—
976#3186—591no—
977#3124—591no—
978#3124—591no—
979#3012—591no—
980#3012—591no—
981#3006—591no—
982C2×#452—591no—
983#2976—591no—
984C2×C59—41no—
985C2×C59—41no—
986C2×C59—41no—
987C2×C59—81no—
988C2×C59—81no—
989C2×C59#348411yescharacteristic
990C2×C59C2×#57611yescharacteristic
991C2×C59#358611yescharacteristic
992D59—22no—
993D59—41no—
994D59—42no—
995D59—81no—
996D59—81no—
997D59—81no—
998C2×H(5,𝔽2)—591no—
999C22×#41—591no—
1000C2×AGL(1,ℤ/8)—591no—
1001C2×AGL(1,ℤ/8)—591no—
1002C2×AGL(1,ℤ/8)—591no—
1003C2×AGL(1,ℤ/8)—591no—
1004C2×#135—591no—
1005C2×#135—591no—
1006C22×Q16—591no—
1007C22×SD16—591no—
1008#562—1181no—
1009#562—1181no—
1010#554—591no—
1011#554—591no—
1012#550—591no—
1013#550—591no—
1014#548—591no—
1015#548—591no—
1016#548—591no—
1017#548—591no—
1018#547—591no—
1019#547—591no—
1020#546—591no—
1021#546—591no—
1022#546—591no—
1023#546—591no—
1024#546—1181no—
1025#546—1181no—
1026#546—1181no—
1027#546—1181no—
1028D42—591no—
1029D42—591no—
1030D42—1181no—
1031D42—1181no—
1032#543—1181no—
1033#542—591no—
1034#542—591no—
1035#539—1181no—
1036#538—1181no—
1037#537—591no—
1038#537—1181no—
1039#537—1181no—
1040#537C2×D5911yescharacteristic, complemented
1041#537C2×D5911yescharacteristic, complemented
1042#535—591no—
1043#535—1181no—
1044#525—591no—
1045#525—1181no—
1046C2×C22⋊Q8—591no—
1047C2×#121—591no—
1048C2×#121—591no—
1049C2×#121—1181no—
1050#520—591no—
1051#496—591no—
1052#496—591no—
1053#495—591no—
1054#495—591no—
1055#489—591no—
1056#489—591no—
1057#486—591no—
1058#486—591no—
1059#484—591no—
1060#484—591no—
1061#484C2×D5911yescharacteristic, complemented
1062#484C2×D5911yescharacteristic, complemented
1063#480—591no—
1064#480—591no—
1065#480—591no—
1066#480—591no—
1067#480—591no—
1068#480—591no—
1069#480C2×D5911yescharacteristic, complemented
1070#480C2×D5911yescharacteristic, complemented
1071#477—591no—
1072#477—591no—
1073#474—591no—
1074#474—591no—
1075#468—591no—
1076#468—591no—
1077#468—591no—
1078#468—591no—
1079#468—591no—
1080#468—591no—
1081#468C2×D5911yescharacteristic, complemented
1082#468C2×D5911yescharacteristic, complemented
1083#467—591no—
1084#467C2×D5911yescharacteristic, complemented
1085#466—591no—
1086#466—591no—
1087#466—591no—
1088#466—591no—
1089#466—591no—
1090#466C2×D5911yescharacteristic, complemented
1091#464—591no—
1092#464—591no—
1093#464—591no—
1094#464—591no—
1095#463—591no—
1096#463—591no—
1097#463—591no—
1098#463—591no—
1099#460—591no—
1100#460—591no—
1101#459—591no—
1102#459—591no—
1103#452—591no—
1104#452—591no—
1105#452—591no—
1106#452—591no—
1107#452—591no—
1108#452—591no—
1109#452—591no—
1110#452—591no—
1111#452—591no—
1112#452—591no—
1113#452C2×D5911yescharacteristic, complemented
1114#452C2×D5911yescharacteristic, complemented
1115#450—591no—
1116#450—591no—
1117#450—591no—
1118#450—591no—
1119#449—591no—
1120#449—591no—
1121#449—591no—
1122#449—591no—
1123#449—591no—
1124#449—591no—
1125#449C2×D5911yescharacteristic, complemented
1126#449C2×D5911yescharacteristic, complemented
1127#448—591no—
1128#448—591no—
1129#448—591no—
1130#448—591no—
1131#447—591no—
1132#447—591no—
1133#447—591no—
1134#447—591no—
1135#447—591no—
1136#447—591no—
1137#447—591no—
1138#447—591no—
1139#440—591no—
1140#440—591no—
1141#440—591no—
1142#440—591no—
1143C4×Q16—591no—
1144C4×Q16—591no—
1145C4×D8—591no—
1146C4×D8—591no—
1147#436—591no—
1148#436—591no—
1149#435—591no—
1150#435—591no—
1151#435—591no—
1152#435—591no—
1153C8×D4—591no—
1154C8×D4—591no—
1155#433—591no—
1156#433—591no—
1157#417—591no—
1158#417—591no—
1159#417—591no—
1160#417—591no—
1161C2×#103—591no—
1162C2×#102—591no—
1163C2×#102—591no—
1164C2×#102—591no—
1165#408—591no—
1166#408C2×D5911yescharacteristic, complemented
1167#407—591no—
1168C2×C22⋊C8—591no—
1169C59#6162411yescharacteristic, complemented, Sylow
1170H(5,𝔽2)—2362no—
1171H(5,𝔽2)—2362no—
1172C2×#41—591no—
1173C2×#41—591no—
1174C2×#41—591no—
1175C2×#41—591no—
1176C2×#41—591no—
1177C2×#41—591no—
1178C2×#41—1181no—
1179C2×#41—1181no—
1180C2×#41—1181no—
1181C2×#41—1181no—
1182C2×#41—1181no—
1183C2×#41—2362no—
1184C2×#41—2362no—
1185C2×#41C22×D5911yescharacteristic
1186C2×#41C22×D5911yescharacteristic
1187C2×#41C22×D5911yescharacteristic
1188C22×Q8—591no—
1189C22×Q8—591no—
1190C22×D4—591no—
1191C22×D4—591no—
1192C22×D4—591no—
1193C22×D4—591no—
1194C22×D4—591no—
1195C22×D4—1181no—
1196C22×D4—1181no—
1197C22×D4—1181no—
1198C22×D4—1181no—
1199C22×D4—1181no—
1200C22×D4—1181no—
1201C22×D4—1181no—
1202C22×D4—1181no—
1203C23×C4—591no—
1204C23×C4—1181no—
1205AGL(1,ℤ/8)—2362no—
1206AGL(1,ℤ/8)—2362no—
1207AGL(1,ℤ/8)—2362no—
1208AGL(1,ℤ/8)—2362no—
1209#135—2362no—
1210#135—2362no—
1211C2×Q16—591no—
1212C2×Q16—591no—
1213C2×Q16—591no—
1214C2×Q16—2362no—
1215C2×Q16C22×D5911yescharacteristic
1216C2×SD16—591no—
1217C2×SD16—591no—
1218C2×SD16—591no—
1219C2×SD16—591no—
1220C2×SD16—591no—
1221C2×SD16—591no—
1222C2×SD16—591no—
1223C2×SD16—591no—
1224C2×SD16—591no—
1225C2×SD16—591no—
1226C2×SD16—2362no—
1227C2×SD16C22×D5911yescharacteristic
1228C2×SD16C22×D5911yescharacteristic
1229C2×D8—591no—
1230C2×D8—591no—
1231C2×D8—591no—
1232C2×D8—591no—
1233C2×D8—591no—
1234C2×D8—591no—
1235C2×D8—591no—
1236C2×D8C22×D5911yescharacteristic
1237C2×M16—591no—
1238C2×M16—591no—
1239C2×M16—591no—
1240C2×M16C22×D5911yescharacteristic
1241C22×C8—591no—
1242C22×C8—591no—
1243C22×C8—591no—
1244C22×C8C22×D5911yescharacteristic
1245C4⋊Q8—591no—
1246C4⋊Q8—591no—
1247#127—591no—
1248#127—591no—
1249#127—1181no—
1250#127—1181no—
1251#126—1181no—
1252#126—1181no—
1253#125—1181no—
1254#125—1181no—
1255#124—591no—
1256#124—591no—
1257#124—591no—
1258#124—591no—
1259#124—1181no—
1260#124—1181no—
1261#124—1181no—
1262#124—1181no—
1263#124—1181no—
1264#124—1181no—
1265#123—591no—
1266#123—591no—
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—21no—
1278C22⋊Q8—21no—
1279C22⋊Q8—591no—
1280C22⋊Q8—591no—
1281C22⋊Q8—591no—
1282C22⋊Q8—591no—
1283C22⋊Q8—591no—
1284C22⋊Q8—591no—
1285C22⋊Q8—1181no—
1286C22⋊Q8—1181no—
1287C22⋊Q8—1181no—
1288C22⋊Q8—1181no—
1289C22⋊Q8—1181no—
1290C22⋊Q8—1181no—
1291C22⋊Q8—1181no—
1292C22⋊Q8—1181no—
1293C22⋊Q8—1181no—
1294C22⋊Q8—1181no—
1295C22⋊Q8—1181no—
1296C22⋊Q8—1181no—
1297C22⋊Q8—1181no—
1298C22⋊Q8—1181no—
1299C22⋊Q8—1181no—
1300C22⋊Q8C22×D5911yescharacteristic
1301C22⋊Q8C22×D5911yescharacteristic
1302C22⋊Q8C22×D5911yescharacteristic
1303C22⋊Q8C22×D5911yescharacteristic
1304#121—21no—
1305#121—21no—
1306#121—21no—
1307#121—21no—
1308#121—21no—
1309#121—21no—
1310#121—591no—
1311#121—591no—
1312#121—591no—
1313#121—591no—
1314#121—591no—
1315#121—591no—
1316#121—591no—
1317#121—591no—
1318#121—591no—
1319#121—591no—
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#121—1181no—
1333#121—1181no—
1334#121—1181no—
1335#121—1181no—
1336#121—1181no—
1337#121—1181no—
1338#121—1181no—
1339#121—1181no—
1340#121—1181no—
1341#121—1181no—
1342#121—1181no—
1343#121C22×D5911yescharacteristic
1344#121C22×D5911yescharacteristic
1345#121C22×D5911yescharacteristic
1346#121C22×D5911yescharacteristic
1347#120—591no—
1348#120—591no—
1349#120—1181no—
1350#120—1181no—
1351#120—1181no—
1352#120—1181no—
1353#120—1181no—
1354#120—1181no—
1355#120—1181no—
1356#120—1181no—
1357#120—1181no—
1358#120—1181no—
1359C4×Q8—591no—
1360C4×Q8—591no—
1361C4×Q8—591no—
1362C4×Q8—591no—
1363C4×D4—591no—
1364C4×D4—591no—
1365C4×D4—591no—
1366C4×D4—591no—
1367C4×D4—591no—
1368C4×D4—591no—
1369C4×D4—591no—
1370C4×D4—591no—
1371C4×D4—1181no—
1372C4×D4—1181no—
1373C4×D4—1181no—
1374C4×D4—1181no—
1375C4×D4—1181no—
1376C4×D4—1181no—
1377C4×D4—1181no—
1378C4×D4—1181no—
1379C4×D4—1181no—
1380C4×D4—1181no—
1381#117—591no—
1382#117—1181no—
1383C2×C4⋊C4—591no—
1384C2×C4⋊C4—591no—
1385C2×C4⋊C4—591no—
1386C2×C4⋊C4—1181no—
1387C2×C4⋊C4—1181no—
1388C2×C4⋊C4C22×D5911yescharacteristic
1389C2×C4⋊C4C22×D5911yescharacteristic
1390C2×C22⋊C4—1181no—
1391C2×C22⋊C4—1181no—
1392C2×C22⋊C4—1181no—
1393C2×C22⋊C4—1181no—
1394C2×C22⋊C4—1181no—
1395C2×C22⋊C4—1181no—
1396C2×C22⋊C4—1181no—
1397#107—591no—
1398#107—591no—
1399#107—591no—
1400#107—591no—
1401#107C22×D5911yescharacteristic
1402#107C22×D5911yescharacteristic
1403#107C22×D5911yescharacteristic
1404#107C22×D5911yescharacteristic
1405C4⋊C8—591no—
1406C4⋊C8—591no—
1407C4⋊C8—591no—
1408C4⋊C8—591no—
1409#103—591no—
1410#103—591no—
1411#103—591no—
1412#103—591no—
1413#103—591no—
1414#103—591no—
1415#103—591no—
1416#103—591no—
1417#103C22×D5911yescharacteristic
1418#103C22×D5911yescharacteristic
1419#103C22×D5911yescharacteristic
1420#103C22×D5911yescharacteristic
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#102—591no—
1430#102—591no—
1431#102—591no—
1432#102—591no—
1433#102—591no—
1434#102—591no—
1435#102—591no—
1436#102—591no—
1437#102C22×D5911yescharacteristic
1438#102C22×D5911yescharacteristic
1439#102C22×D5911yescharacteristic
1440#102C22×D5911yescharacteristic
1441C22⋊C8—591no—
1442C22⋊C8—591no—
1443C22⋊C8—591no—
1444C22⋊C8—591no—
1445C22⋊C8—591no—
1446C22⋊C8—591no—
1447C22⋊C8—591no—
1448C22⋊C8—591no—
1449C22⋊C8C22×D5911yescharacteristic
1450C22⋊C8C22×D5911yescharacteristic
1451C22⋊C8C22×D5911yescharacteristic
1452C22⋊C8C22×D5911yescharacteristic
1453#97—591no—
1454#97—591no—
1455C4×C8—591no—
1456C4×C8—591no—
1457C24—591no—
1458C24—1181no—
1459C24—1181no—
1460C24—1181no—
1461C24—1181no—
1462C24—1181no—
1463#41—41no—
1464#41—41no—
1465#41—41no—
1466#41—41no—
1467#41—41no—
1468#41—41no—
1469#41—1182no—
1470#41—1182no—
1471#41—1182no—
1472#41—1182no—
1473#41—1182no—
1474#41—1182no—
1475#41—4722no—
1476#41—4722no—
1477#41—2361no—
1478#41—2361no—
1479#41—2361no—
1480#41—2361no—
1481#41—2364no—
1482#41—2361no—
1483#41—2361no—
1484#41—2364no—
1485#41—2364no—
1486C2×Q8—591no—
1487C2×Q8—591no—
1488C2×Q8—1181no—
1489C2×Q8—1181no—
1490C2×Q8—1181no—
1491C2×Q8—1181no—
1492C2×Q8—1182no—
1493C2×Q8—2361no—
1494C2×Q8—2361no—
1495C2×Q8—2361no—
1496C2×Q8D4×D5911yescharacteristic
1497C2×Q8C23×D5911yescharacteristic
1498C2×Q8C23×D5911yescharacteristic
1499C2×D4—21no—
1500C2×D4—21no—
1501C2×D4—21no—
1502C2×D4—21no—
1503C2×D4—21no—
1504C2×D4—21no—
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—1182no—
1514C2×D4—1182no—
1515C2×D4—1181no—
1516C2×D4—1181no—
1517C2×D4—1181no—
1518C2×D4—1181no—
1519C2×D4—1181no—
1520C2×D4—1181no—
1521C2×D4—1181no—
1522C2×D4—1181no—
1523C2×D4—1181no—
1524C2×D4—1181no—
1525C2×D4—1181no—
1526C2×D4—1181no—
1527C2×D4—1182no—
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—1181no—
1539C2×D4—4722no—
1540C2×D4—4722no—
1541C2×D4—4722no—
1542C2×D4—4722no—
1543C2×D4—2361no—
1544C2×D4—2361no—
1545C2×D4—2361no—
1546C2×D4—2361no—
1547C2×D4—2361no—
1548C2×D4—2361no—
1549C2×D4—2361no—
1550C2×D4—2364no—
1551C2×D4—2364no—
1552C2×D4—2364no—
1553C2×D4—2364no—
1554C2×D4D4×D5911yescharacteristic
1555C2×D4D4×D5911yescharacteristic
1556C2×D4D4×D5911yescharacteristic
1557C2×D4C23×D5911yescharacteristic
1558C2×D4C23×D5911yescharacteristic
1559C22×C4—21no—
1560C22×C4—21no—
1561C22×C4—21no—
1562C22×C4—21no—
1563C22×C4—591no—
1564C22×C4—591no—
1565C22×C4—591no—
1566C22×C4—591no—
1567C22×C4—591no—
1568C22×C4—1181no—
1569C22×C4—1181no—
1570C22×C4—1181no—
1571C22×C4—1181no—
1572C22×C4—1181no—
1573C22×C4—1181no—
1574C22×C4—1181no—
1575C22×C4—1181no—
1576C22×C4—1181no—
1577C22×C4—1181no—
1578C22×C4—1181no—
1579C22×C4—1181no—
1580C22×C4—1181no—
1581C22×C4—1181no—
1582C22×C4—1181no—
1583C22×C4—2361no—
1584C22×C4—2361no—
1585C22×C4—2364no—
1586C22×C4C23×D5911yescharacteristic
1587C22×C4C23×D5911yescharacteristic
1588C22×C4C23×D5911yescharacteristic
1589Q16—41no—
1590Q16—1182no—
1591Q16—1182no—
1592Q16—2361no—
1593SD16—41no—
1594SD16—41no—
1595SD16—1182no—
1596SD16—1182no—
1597SD16—1182no—
1598SD16—1182no—
1599SD16—2361no—
1600SD16—2361no—
1601SD16—2361no—
1602SD16—2361no—
1603SD16—2361no—
1604SD16—2361no—
1605D8—41no—
1606D8—1182no—
1607D8—1182no—
1608D8—2361no—
1609D8—2361no—
1610D8—2361no—
1611D8—2361no—
1612D8—2361no—
1613M16—41no—
1614M16—2361no—
1615M16—2361no—
1616M16—2361no—
1617C2×C8—41no—
1618C2×C8—591no—
1619C2×C8—591no—
1620C2×C8—591no—
1621C2×C8—591no—
1622C2×C8—2361no—
1623C2×C8—2361no—
1624C2×C8—2361no—
1625C2×C8C23×D5911yescharacteristic
1626C2×C8C23×D5911yescharacteristic
1627C2×C8C23×D5911yescharacteristic
1628C2×C8C23×D5911yescharacteristic
1629C4⋊C4—21no—
1630C4⋊C4—21no—
1631C4⋊C4—21no—
1632C4⋊C4—21no—
1633C4⋊C4—21no—
1634C4⋊C4—21no—
1635C4⋊C4—591no—
1636C4⋊C4—591no—
1637C4⋊C4—591no—
1638C4⋊C4—591no—
1639C4⋊C4—591no—
1640C4⋊C4—591no—
1641C4⋊C4—591no—
1642C4⋊C4—591no—
1643C4⋊C4—1181no—
1644C4⋊C4—1181no—
1645C4⋊C4—1181no—
1646C4⋊C4—1181no—
1647C4⋊C4—1181no—
1648C4⋊C4—1181no—
1649C4⋊C4—1181no—
1650C4⋊C4—1181no—
1651C4⋊C4—1181no—
1652C4⋊C4—1181no—
1653C4⋊C4—1181no—
1654C4⋊C4—1181no—
1655C4⋊C4—1181no—
1656C4⋊C4C23×D5911yescharacteristic
1657C4⋊C4C23×D5911yescharacteristic
1658C4⋊C4C23×D5911yescharacteristic
1659C4⋊C4C23×D5911yescharacteristic
1660C22⋊C4—21no—
1661C22⋊C4—21no—
1662C22⋊C4—21no—
1663C22⋊C4—21no—
1664C22⋊C4—21no—
1665C22⋊C4—21no—
1666C22⋊C4—21no—
1667C22⋊C4—21no—
1668C22⋊C4—591no—
1669C22⋊C4—591no—
1670C22⋊C4—591no—
1671C22⋊C4—591no—
1672C22⋊C4—591no—
1673C22⋊C4—591no—
1674C22⋊C4—591no—
1675C22⋊C4—591no—
1676C22⋊C4—591no—
1677C22⋊C4—591no—
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⋊C4—1181no—
1691C22⋊C4—1181no—
1692C22⋊C4—1181no—
1693C22⋊C4—1181no—
1694C22⋊C4—1181no—
1695C22⋊C4—1181no—
1696C22⋊C4—1181no—
1697C22⋊C4—1181no—
1698C22⋊C4—1181no—
1699C22⋊C4—1181no—
1700C22⋊C4—1181no—
1701C22⋊C4—1181no—
1702C42—591no—
1703C42—591no—
1704C42—1181no—
1705C42—1181no—
1706C42—1181no—
1707C42—1181no—
1708C23—21no—
1709C23—21no—
1710C23—591no—
1711C23—591no—
1712C23—1182no—
1713C23—1181no—
1714C23—1181no—
1715C23—1181no—
1716C23—1181no—
1717C23—4721no—
1718C23—4721no—
1719C23—4721no—
1720C23—4721no—
1721C23—4721no—
1722C23—4721no—
1723C23—4721no—
1724C23—4721no—
1725C23—4721no—
1726C23—2361no—
1727C23—2361no—
1728C23—2362no—
1729C23—2362no—
1730C23—2362no—
1731C23—2362no—
1732C23—2362no—
1733C23—2362no—
1734C23C2×D4×D5911yescharacteristic
1735C23C2×D4×D5911yescharacteristic
1736C23C2×D4×D5911yescharacteristic
1737Q8—21no—
1738Q8—21no—
1739Q8—21no—
1740Q8—21no—
1741Q8—41no—
1742Q8—592no—
1743Q8—1181no—
1744Q8—1181no—
1745Q8—1181no—
1746Q8—4721no—
1747Q8—4721no—
1748Q8—4721no—
1749Q8—2362no—
1750D4—21no—
1751D4—21no—
1752D4—21no—
1753D4—21no—
1754D4—41no—
1755D4—41no—
1756D4—41no—
1757D4—42no—
1758D4—81no—
1759D4—81no—
1760D4—81no—
1761D4—81no—
1762D4—81no—
1763D4—592no—
1764D4—1182no—
1765D4—1182no—
1766D4—1184no—
1767D4—1181no—
1768D4—1181no—
1769D4—1181no—
1770D4—1181no—
1771D4—1181no—
1772D4—1181no—
1773D4—1181no—
1774D4—4721no—
1775D4—4721no—
1776D4—4721no—
1777D4—4721no—
1778D4—4721no—
1779D4—4721no—
1780D4—4721no—
1781D4—4721no—
1782D4—4721no—
1783D4—4721no—
1784D4—2362no—
1785D4—2362no—
1786D4—2362no—
1787D4—2362no—
1788D4—2362no—
1789D4—2362no—
1790D4—2362no—
1791D4—2361no—
1792D4—2361no—
1793D4—2362no—
1794D4—2362no—
1795D4—2362no—
1796D4—2362no—
1797D4—2362no—
1798C2×C4—21no—
1799C2×C4—21no—
1800C2×C4—21no—
1801C2×C4—21no—
1802C2×C4—21no—
1803C2×C4—21no—
1804C2×C4—21no—
1805C2×C4—21no—
1806C2×C4—21no—
1807C2×C4—21no—
1808C2×C4—21no—
1809C2×C4—21no—
1810C2×C4—42no—
1811C2×C4—81no—
1812C2×C4—81no—
1813C2×C4—81no—
1814C2×C4—591no—
1815C2×C4—591no—
1816C2×C4—591no—
1817C2×C4—591no—
1818C2×C4—591no—
1819C2×C4—591no—
1820C2×C4—1184no—
1821C2×C4—1181no—
1822C2×C4—1181no—
1823C2×C4—1181no—
1824C2×C4—1181no—
1825C2×C4—1181no—
1826C2×C4—1181no—
1827C2×C4—1181no—
1828C2×C4—1181no—
1829C2×C4—4721no—
1830C2×C4—4721no—
1831C2×C4—4721no—
1832C2×C4—4721no—
1833C2×C4—4721no—
1834C2×C4—4721no—
1835C2×C4—4721no—
1836C2×C4—4721no—
1837C2×C4—2361no—
1838C2×C4—2361no—
1839C2×C4—2362no—
1840C2×C4—2362no—
1841C2×C4—2362no—
1842C2×C4—2362no—
1843C2×C4—2362no—
1844C2×C4—2361no—
1845C2×C4—2362no—
1846C2×C4C2×D4×D5911yescharacteristic
1847C2×C4C2×D4×D5911yescharacteristic
1848C2×C4C2×D4×D5911yescharacteristic
1849C2×C4C24×D5911yescharacteristic
1850C8—21no—
1851C8—21no—
1852C8—21no—
1853C8—21no—
1854C8—1181no—
1855C8—1181no—
1856C8—1181no—
1857C8—1181no—
1858C22—21no—
1859C22—21no—
1860C22—21no—
1861C22—21no—
1862C22—21no—
1863C22—21no—
1864C22—21no—
1865C22—21no—
1866C22—21no—
1867C22—41no—
1868C22—41no—
1869C22—41no—
1870C22—41no—
1871C22—41no—
1872C22—41no—
1873C22—592no—
1874C22—1181no—
1875C22—1181no—
1876C22—1182no—
1877C22—1181no—
1878C22—1181no—
1879C22—1181no—
1880C22—9442no—
1881C22—9442no—
1882C22—9442no—
1883C22—9442no—
1884C22—4722no—
1885C22—4724no—
1886C22—2361no—
1887C22—2361no—
1888C22—2361no—
1889C22—2361no—
1890C22—2361no—
1891C22—2361no—
1892C22—2361no—
1893C22—2361no—
1894C22—2361no—
1895C22—2361no—
1896C22—2361no—
1897C22C22×D4×D5911yescharacteristic
1898C4—21no—
1899C4—21no—
1900C4—21no—
1901C4—41no—
1902C4—41no—
1903C4—41no—
1904C4—41no—
1905C4—41no—
1906C4—41no—
1907C4—1181no—
1908C4—1181no—
1909C4—1182no—
1910C4—1181no—
1911C4—1181no—
1912C4—1181no—
1913C4—1181no—
1914C4—2361no—
1915C4—2361no—
1916C4—2361no—
1917C4H(5,𝔽2)×D5911yescharacteristic
1918C4H(5,𝔽2)×D5911yescharacteristic
1919C2—41no—
1920C2—41no—
1921C2—41no—
1922C2—81no—
1923C2—81no—
1924C2—1182no—
1925C2—4721no—
1926C2—4721no—
1927C2—4721no—
1928C2—2361no—
1929C2—2362no—
1930C2#2143772811yescharacteristic
1931C2#576×D5911yescharacteristic
1932C2#2143888111yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3203C2
socleC22×C59C23×D4
hypercenter#3203D59
hypocenterC59#61624
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C2×#41 ◁ #3203

Complements

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

NH ≅ G/Ntype
1. #21438314C2semidirect
2. #21437760C2semidirect
3. #21436432C2semidirect
4. #21436429C2semidirect
5. #21436183C2semidirect
6. #21436175C2semidirect
7. #21436090C2semidirect
8. #21436082C2semidirect
9. #21435907C2semidirect
10. #21435904C2semidirect
11. #21435840C2semidirect
12. #21435835C2semidirect
13. #21435704C2semidirect
14. #21435700C2semidirect
15. #21435640C2semidirect
16. #21435633C2semidirect
17. #21435598C2semidirect
18. #21435594C2semidirect
19. #21435196C2semidirect
20. #21435188C2semidirect
21. #21434993C2semidirect
22. #21434901C2semidirect
23. #21434846C2semidirect
24. #21434361C2semidirect
25. #21434353C2semidirect
26. #21433403C2semidirect
27. #21433397C2semidirect
28. #21433345C2semidirect
29. #452×D59C2semidirect
30. #21433139C2semidirect
31. C59×#3203C2semidirect
32. C2×#14273773C22semidirect
34. C2×#14273755C22semidirect
35. C2×#14273754C22semidirect
36. C2×#14273752C22semidirect
37. C2×#14273751C22semidirect
38. C2×#14273749C22semidirect
39. C2×#14273747C22semidirect
40. C2×Q16×D59C22semidirect
41. C2×SD16×D59C22semidirect
44. #16838110C22semidirect
45. #16838107C22semidirect
48. #16838062C22semidirect
49. #16838062C22semidirect
50. #16838062C22semidirect
51. #16838059C22semidirect
52. #16838053C22semidirect
53. #16838052C22semidirect
55. #16838049C22semidirect
61. #16838040C22semidirect
64. #16838036C22semidirect
65. #16838036C22semidirect
67. #16838025C22semidirect
68. #16838019C22semidirect
73. #16837980C22semidirect
75. #16837966C22semidirect
78. C22⋊Q8×D59C22semidirect
81. #121×D59C22semidirect
82. #16837883C22semidirect
83. #16837790C22semidirect
84. #16837788C22semidirect
85. #16837787C22semidirect
86. #16837783C22semidirect
87. #16837763C22semidirect
88. #16837763C22semidirect
89. #16837747C22semidirect
90. #16837747C22semidirect
91. #16837737C22semidirect
92. #16837735C22semidirect
93. #16837717C22semidirect
94. #16837717C22semidirect
95. #16837717C22semidirect
96. #16837717C22semidirect
97. #16837715C22semidirect
98. #16837713C22semidirect
99. #16837696C22semidirect
100. #16837696C22semidirect
101. #16837681C22semidirect
102. #16837681C22semidirect
103. #16837651C22semidirect
104. #16837651C22semidirect
105. #16837650C22semidirect
106. #16837649C22semidirect
107. #16837649C22semidirect
108. #16837646C22semidirect
109. #16837641C22semidirect
110. #16837639C22semidirect
111. #16837639C22semidirect
112. #16837637C22semidirect
113. #16837637C22semidirect
114. #16837636C22semidirect
115. #16837627C22semidirect
116. #16837627C22semidirect
117. #16837626C22semidirect
118. #16837623C22semidirect
119. #16837620C22semidirect
120. #16837620C22semidirect
121. #16837619C22semidirect
122. #16837616C22semidirect
123. #16837601C22semidirect
124. #16837600C22semidirect
125. #16837596C22semidirect
126. #16837595C22semidirect
127. #16837567C22semidirect
128. #16837566C22semidirect
129. #16837566C22semidirect
130. #16837565C22semidirect
131. #16837564C22semidirect
132. #16837563C22semidirect
133. #16837562C22semidirect
134. #16837562C22semidirect
135. #16837562C22semidirect
136. #16837561C22semidirect
137. #16837555C22semidirect
138. #16837555C22semidirect
139. #16837552C22semidirect
140. #16837552C22semidirect
142. #16837549C22semidirect
143. #16837547C22semidirect
145. #16837545C22semidirect
146. #16837545C22semidirect
147. #16837542C22semidirect
148. #16837542C22semidirect
149. #16837542C22semidirect
150. #16837539C22semidirect
151. #16837538C22semidirect
152. #16837538C22semidirect
153. #16837537C22semidirect
154. #16837537C22semidirect
155. #16837537C22semidirect
156. #16837535C22semidirect
157. #16837535C22semidirect
158. #16837534C22semidirect
159. #16837505C22semidirect
160. #16837501C22semidirect
161. #16837501C22semidirect
162. #16837499C22semidirect
163. #16837496C22semidirect
164. #16837494C22semidirect
165. #16837484C22semidirect
166. #16837482C22semidirect
167. #16837478C22semidirect
168. #16837477C22semidirect
169. #16837476C22semidirect
170. #16837473C22semidirect
171. #16837471C22semidirect
172. #16837470C22semidirect
173. C8×C22⋊D59C22semidirect
174. (C22⋊D59)⋊C8C22semidirect
175. #16837460C22semidirect
176. #16837460C22semidirect
177. #16837404C22semidirect
178. #16837402C22semidirect
179. #16837401C22semidirect
180. #16837400C22semidirect
181. #103×D59C22semidirect
182. C2×#14273649C22semidirect
183. C2×#14273647C22semidirect
184. #102×D59C22semidirect
185. #16837369C22semidirect
186. #16837364C22semidirect
187. C22⋊C8×D59C22semidirect
188. C59×#537C22semidirect
189. C59×#537C22semidirect
190. C59×#484C22semidirect
191. C59×#484C22semidirect
192. C59×#480C22semidirect
193. C59×#480C22semidirect
194. C59×#468C22semidirect
195. C59×#468C22semidirect
196. C59×#467C22semidirect
197. C59×#466C22semidirect
198. C59×#452C22semidirect
199. C59×#452C22semidirect
200. C59×#449C22semidirect
201. C59×#449C22semidirect
202. C59×#408C22semidirect
974. #3203D59semidirect
1040. #537C2×D59semidirect
1041. #537C2×D59semidirect
1061. #484C2×D59semidirect
1062. #484C2×D59semidirect
1069. #480C2×D59semidirect
1070. #480C2×D59semidirect
1081. #468C2×D59semidirect
1082. #468C2×D59semidirect
1084. #467C2×D59semidirect
1090. #466C2×D59semidirect
1113. #452C2×D59semidirect
1114. #452C2×D59semidirect
1125. #449C2×D59semidirect
1126. #449C2×D59semidirect
1166. #408C2×D59semidirect
1169. C59#61624semidirect

Maximal subgroups

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

subgroupindex
#214383142
#214377602
#214364322
#214364292
#214361832
#214361752
#214360902
#214360822
#214359072
#214359042
#214358402
#214358352
#214357042
#214357002
#214356402
#214356332
#214355982
#214355942
#214351962
#214351882
#214349932
#214349012
#214348462
#214343612
#214343532
#214334032
#214333972
#214333452
#452×D592
#214331392
C59×#32032
#6162459