Finite Group Databasebeta

← #29485910

Subgroups — #29485910

Order 15104.

1716 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438729C211yesmaximal, characteristic, complemented
2#21438042C211yesmaximal, characteristic, complemented
3#21437051C211yesmaximal, characteristic, complemented
4#21436976C211yesmaximal, characteristic, complemented
5#21436863C211yesmaximal, characteristic, complemented
6#21436753C211yesmaximal, characteristic, complemented
7#21436690C211yesmaximal, characteristic, complemented
8#21436660C211yesmaximal, characteristic, complemented
9#21436659C211yesmaximal, characteristic, complemented
10#21436624C211yesmaximal, characteristic, complemented
11#21436535C211yesmaximal, characteristic, complemented
12#21436491C211yesmaximal, characteristic, complemented
13#21436325C211yesmaximal, characteristic, complemented
14#21436311C211yesmaximal, characteristic, complemented
15#21436295C211yesmaximal, characteristic, complemented
16#21436251C211yesmaximal, characteristic, complemented
17#21436235C211yesmaximal, characteristic, complemented
18#21435929C211yesmaximal, characteristic, complemented
19#21435552C211yesmaximal, characteristic, complemented
20#21435506C211yesmaximal, characteristic, complemented
21#21435499C211yesmaximal, characteristic, complemented
22#21435354C211yesmaximal, characteristic, complemented
23#21435279C211yesmaximal, characteristic, complemented
24#21434380C211yesmaximal, characteristic, complemented
25#21434282C211yesmaximal, characteristic, complemented
26#21434148C211yesmaximal, characteristic, complemented
27#21433950C211yesmaximal, characteristic, complemented
28#21433921C211yesmaximal, characteristic, complemented
29#21433894C211yesmaximal, characteristic, complemented
30#21433239C211yesmaximal, characteristic, complemented
31C59×#3244C211yesmaximal, characteristic, complemented
32#16838151—21no—
33#16838148—21no—
34#16838134C2211yescharacteristic
35#16838127C2211yescharacteristic, complemented
36#16838126—21no—
37#16838120C2211yescharacteristic
38#16838118C2211yescharacteristic, complemented
39#16838113C2211yescharacteristic
40#16838108C2211yescharacteristic, complemented
41#16838103—21no—
42#16838100C2211yescharacteristic
43#16838099C2211yescharacteristic
44#16838096C2211yescharacteristic, complemented
45#16838090C2211yescharacteristic, complemented
46#16838087C2211yescharacteristic, complemented
47#16838086—21no—
48#16838086C2211yescharacteristic
49#16838082—21no—
50#16838077—21no—
51#16838055C2211yescharacteristic
52#16838045—21no—
53#16838045C2211yescharacteristic
54#16838043C2211yescharacteristic
55#16838036C2211yescharacteristic
56#16838032C2211yescharacteristic, complemented
57#16838026C2211yescharacteristic, complemented
58#16838025—21no—
59#16838023C2211yescharacteristic, complemented
60#16838022—21no—
61#16838011—21no—
62#16838003C2211yescharacteristic
63#16838000—21no—
64#16837998—21no—
65#16837988—21no—
66#16837957C2211yescharacteristic, complemented
67#16837939C2211yescharacteristic
68#16837937C2211yescharacteristic, complemented
69#16837930C2211yescharacteristic
70#16837915—21no—
71#123×D59—21no—
72#16837884C2211yescharacteristic
73#16837876C2211yescharacteristic
74C4×D4×D59C2211yescharacteristic
75#16837810C2211yescharacteristic, complemented
76#16837802C2211yescharacteristic, complemented
77#16837802C2211yescharacteristic, complemented
78#16837802C2211yescharacteristic, complemented
79#16837765C2211yescharacteristic
80#16837758C2211yescharacteristic, complemented
81#16837758C2211yescharacteristic, complemented
82#16837747C2211yescharacteristic
83#16837744C2211yescharacteristic, complemented
84#16837741C2211yescharacteristic, complemented
85#16837741C2211yescharacteristic, complemented
86#16837739C2211yescharacteristic, complemented
87#16837734C2211yescharacteristic, complemented
88#16837728C2211yescharacteristic
89#16837728C2211yescharacteristic
90#16837728C2211yescharacteristic, complemented
91#16837727C2211yescharacteristic, complemented
92#16837725C2211yescharacteristic, complemented
93#16837722C2211yescharacteristic, complemented
94#16837722C2211yescharacteristic, complemented
95#16837719C2211yescharacteristic, complemented
96#16837717C2211yescharacteristic, complemented
97#16837712C2211yescharacteristic, complemented
98#16837712C2211yescharacteristic, complemented
99#16837711C2211yescharacteristic, complemented
100#16837705C2211yescharacteristic, complemented
101#16837701C2211yescharacteristic
102#16837701C2211yescharacteristic
103#16837701C2211yescharacteristic
104#16837701C2211yescharacteristic, complemented
105#16837700C2211yescharacteristic, complemented
106#16837700C2211yescharacteristic, complemented
107#16837699C2211yescharacteristic
108#16837699C2211yescharacteristic
109#16837699C2211yescharacteristic, complemented
110#16837699C2211yescharacteristic, complemented
111#16837697C2211yescharacteristic, complemented
112#16837695C2211yescharacteristic, complemented
113#16837694C2211yescharacteristic, complemented
114#16837693C2211yescharacteristic, complemented
115#16837689C2211yescharacteristic
116#16837689C2211yescharacteristic, complemented
117#16837683C2211yescharacteristic
118#16837682C2211yescharacteristic, complemented
119#16837681C2211yescharacteristic
120#16837679C2211yescharacteristic
121#16837679C2211yescharacteristic, complemented
122#16837679C2211yescharacteristic, complemented
123#16837659C2211yescharacteristic, complemented
124#16837656C2211yescharacteristic
125#16837656C2211yescharacteristic, complemented
126#16837651C2211yescharacteristic, complemented
127#16837650C2211yescharacteristic, complemented
128#16837649C2211yescharacteristic
129#16837647C2211yescharacteristic, complemented
130#16837646C2211yescharacteristic
131#16837641C2211yescharacteristic, complemented
132#16837637C2211yescharacteristic, complemented
133#16837636C2211yescharacteristic
134#16837632C2211yescharacteristic, complemented
135#16837627C2211yescharacteristic, complemented
136#16837624C2211yescharacteristic, complemented
137#16837621C2211yescharacteristic, complemented
138#16837620C2211yescharacteristic, complemented
139#16837618C2211yescharacteristic
140#16837618C2211yescharacteristic, complemented
141#16837617C2211yescharacteristic, complemented
142#16837614C2211yescharacteristic, complemented
143#16837601C2211yescharacteristic
144#16837596C2211yescharacteristic
145#16837567C2211yescharacteristic
146#16837555C2211yescharacteristic
147#16837554C2211yescharacteristic
148#16837550C2211yescharacteristic
149#16837538C2211yescharacteristic
150#16837537C2211yescharacteristic
151#16837530C2211yescharacteristic, complemented
152C8×Dic118C2211yescharacteristic, complemented
153#16837515C2211yescharacteristic
154#16837513C2211yescharacteristic
155#16837506C2211yescharacteristic, complemented
156#16837504C2211yescharacteristic, complemented
157#16837493C2211yescharacteristic, complemented
158C4×#11745660C2211yescharacteristic
159#16837489C2211yescharacteristic
160#16837489C2211yescharacteristic
161#16837487C2211yescharacteristic, complemented
162C4×D472C2211yescharacteristic, complemented
163#16837484C2211yescharacteristic
164#16837482C2211yescharacteristic, complemented
165#16837481C2211yescharacteristic, complemented
166#16837477C2211yescharacteristic
167#16837477C2211yescharacteristic, complemented
168#16837475C2211yescharacteristic, complemented
169#16837470C2211yescharacteristic
170(C22⋊D59)⋊C8C2211yescharacteristic, complemented
171#16837462C2211yescharacteristic, complemented
172#16837454C2211yescharacteristic, complemented
173#16837442C2211yescharacteristic, complemented
174#16837441C2211yescharacteristic, complemented
175#16837441C2211yescharacteristic, complemented
176#16837441C2211yescharacteristic, complemented
177#16837438C2211yescharacteristic, complemented
178#107×D59C2211yescharacteristic, complemented
179#16837429C2211yescharacteristic, complemented
180#16837427C2211yescharacteristic, complemented
181#16837424C2211yescharacteristic, complemented
182#16837406C2211yescharacteristic
183#16837405C2211yescharacteristic
184#16837405C2211yescharacteristic
185#16837402C2211yescharacteristic
186#16837397C2211yescharacteristic
187C2×#14273647C2211yescharacteristic
188C59×#544C2211yescharacteristic, complemented
189C59×#542C2211yescharacteristic
190C59×#501C2211yescharacteristic, complemented
191C59×#498C2211yescharacteristic, complemented
192C59×#489C2211yescharacteristic, complemented
193C59×#488C2211yescharacteristic, complemented
194C59×#485C2211yescharacteristic, complemented
195C59×#483C2211yescharacteristic, complemented
196C59×#482C2211yescharacteristic
197C59×#481C2211yescharacteristic
198C59×#479C2211yescharacteristic, complemented
199C59×#478C2211yescharacteristic, complemented
200C59×#476C2211yescharacteristic, complemented
201C59×#475C2211yescharacteristic, complemented
202C59×#433C2211yescharacteristic, complemented
203C2×#11745689—21no—
204C2×#11745689C2311yescharacteristic
205C22×D236C2311yescharacteristic
206C2×D4×D59—21no—
207C2×D4×D59C2311yescharacteristic
208C22×C4×D59—21no—
209C2×#11745672C2311yescharacteristic
210C2×#11745660C2311yescharacteristic
211C2×#11745660C2311yescharacteristic
212C2×#11745670C2311yescharacteristic
213C2×#11745671C2311yescharacteristic
214C2×D472C2311yescharacteristic
215C2×D472C2311yescharacteristic
216C2×#11745669C2311yescharacteristic
217C2×#11745664C2311yescharacteristic
218C2×#11745659C2311yescharacteristic
219C2×#11745659C2311yescharacteristic
220C2×#11745659C2311yescharacteristic
221C22×C59⋊C8C2311yescharacteristic
222C2×C8×D59C2311yescharacteristic
223#14273727C2311yescharacteristic
224#14273726—21no—
225#14273726C2311yescharacteristic
226#14273725—21no—
227#14273723C2311yescharacteristic
228#14273722—21no—
229#14273722—21no—
230#14273722—21no—
231#14273722—21no—
232#14273722—21no—
233#14273722—21no—
234#14273722—21no—
235#14273722D411yescharacteristic
236#14273721—21no—
237#14273721—21no—
238#14273720—21no—
239#14273720—21no—
240#14273720—21no—
241#14273720D411yescharacteristic
242#14273718—21no—
243#14273718C2311yescharacteristic
244#14273718C2311yescharacteristic
245#14273718C2311yescharacteristic
246#14273718C2311yescharacteristic
247#14273718C2311yescharacteristic
248#14273717—21no—
249#14273717—21no—
250#14273717—21no—
251#14273717—21no—
252#14273717—21no—
253#14273717D411yescharacteristic
254#14273716—21no—
255#14273716—21no—
256#14273716—21no—
257#14273716C2311yescharacteristic
258#14273715C2311yescharacteristic
259#14273713—21no—
260#14273713—21no—
261#14273713—21no—
262#14273713D411yescharacteristic
263#14273712—21no—
264#14273712—21no—
265#14273712—21no—
266#14273712—21no—
267#14273712—21no—
268#14273712—21no—
269#14273712—21no—
270#14273712—21no—
271#14273712D411yescharacteristic
272#14273711—21no—
273#14273710—21no—
274#14273710—21no—
275#14273709—21no—
276#14273709—21no—
277#14273709—21no—
278#14273709—21no—
279#14273709—21no—
280#14273709—21no—
281#14273709D411yescharacteristic
282#14273708—21no—
283#14273707—21no—
284#14273707—21no—
285#14273707—21no—
286#14273707—21no—
287#14273707C2311yescharacteristic
288#14273707C2311yescharacteristic
289#14273706C2311yescharacteristic
290#14273705—21no—
291#14273705—21no—
292#14273705—21no—
293#14273705—21no—
294#14273705D411yescharacteristic
295#14273703—21no—
296#14273703—21no—
297#14273703—21no—
298#14273703—21no—
299#14273703—21no—
300#14273703C2311yescharacteristic
301#14273702—21no—
302#14273702—21no—
303#14273702C2311yescharacteristic
304#14273702C2311yescharacteristic
305#14273702C2311yescharacteristic
306#14273702C2311yescharacteristic
307#14273701—21no—
308#14273701—21no—
309#14273701C2311yescharacteristic
310#14273700—21no—
311#14273700—21no—
312#14273700—21no—
313#14273700—21no—
314#14273700D411yescharacteristic
315#14273698—21no—
316#14273698C2311yescharacteristic
317#14273697—21no—
318#14273697—21no—
319#14273697—21no—
320#14273695—21no—
321Q8×Dic59—21no—
322Q8×Dic59—21no—
323Q8×Dic59C2311yescharacteristic
324C4×Dic118—21no—
325C4×Dic118C2311yescharacteristic
326C4×Dic118C2311yescharacteristic
327#14273692—21no—
328#14273692C2311yescharacteristic
329#14273692C2311yescharacteristic
330C4×D236—21no—
331C4×D236—21no—
332C4×D236—21no—
333C4×D236C2311yescharacteristic
334C4×D236C2311yescharacteristic
335C4×D236C2311yescharacteristic
336C4×D236C2311yescharacteristic
337C4×D236C2311yescharacteristic
338C4×D236C2311yescharacteristic
339D4×Dic59C2311yescharacteristic
340#14273689—21no—
341#14273689—21no—
342#14273689—21no—
343#14273689—21no—
344#14273689C2311yescharacteristic
345#14273689C2311yescharacteristic
346#14273689C2311yescharacteristic
347#14273689C2311yescharacteristic
348C4×C22⋊D59—21no—
349C4×C22⋊D59—21no—
350C4×C22⋊D59C2311yescharacteristic
351C4×C22⋊D59C2311yescharacteristic
352(C22⋊D59)⋊C4—21no—
353(C22⋊D59)⋊C4—21no—
354(C22⋊D59)⋊C4—21no—
355#14273686—21no—
356#14273686C2311yescharacteristic
357#14273685—21no—
358#14273685—21no—
359#14273685—21no—
360#14273685—21no—
361#14273685C2311yescharacteristic
362#14273685C2311yescharacteristic
363#14273685C2311yescharacteristic
364#14273684—21no—
365#14273684—21no—
366#14273684C2311yescharacteristic
367C4⋊C4×D59—21no—
368C4⋊C4×D59—21no—
369C4⋊C4×D59—21no—
370C4⋊C4×D59C2311yescharacteristic
371C4⋊C4×D59C2311yescharacteristic
372C4⋊C4×D59C2311yescharacteristic
373C22⋊C4×D59—21no—
374C22⋊C4×D59—21no—
375C22⋊C4×D59—21no—
376C22⋊C4×D59—21no—
377C22⋊C4×D59—21no—
378C42×D59C2311yescharacteristic
379#14273661C2311yescharacteristic
380#14273661C2311yescharacteristic
381#14273660C2311yescharacteristic
382#14273660C2311yescharacteristic
383#14273660C2311yescharacteristic
384#14273660C2311yescharacteristic
385#14273660C2311yescharacteristic
386#14273660C2311yescharacteristic
387#14273660C2311yescharacteristic
388#14273660C2311yescharacteristic
389#14273659C2311yescharacteristic
390#14273659C2311yescharacteristic
391#14273658C2311yescharacteristic
392#14273658C2311yescharacteristic
393#14273658C2311yescharacteristic
394#14273658C2311yescharacteristic
395C4⋊(C59⋊C8)C2311yescharacteristic
396C4⋊(C59⋊C8)C2311yescharacteristic
397C4⋊(C59⋊C8)C2311yescharacteristic
398C4⋊(C59⋊C8)C2311yescharacteristic
399Dic59⋊C8C2311yescharacteristic
400Dic59⋊C8C2311yescharacteristic
401Dic59⋊C8C2311yescharacteristic
402Dic59⋊C8C2311yescharacteristic
403#14273652C2311yescharacteristic
404#14273652C2311yescharacteristic
405#14273651C2311yescharacteristic
406#14273651C2311yescharacteristic
407#14273650C2311yescharacteristic
408#14273650C2311yescharacteristic
409#14273649C2311yescharacteristic
410#14273649C2311yescharacteristic
411#14273649C2311yescharacteristic
412#14273649C2311yescharacteristic
413#14273649C2311yescharacteristic
414#14273649C2311yescharacteristic
415#14273648C2311yescharacteristic
416#14273648C2311yescharacteristic
417#14273647C2311yescharacteristic
418#14273647C2311yescharacteristic
419#14273647C2311yescharacteristic
420#14273647C2311yescharacteristic
421#14273647C2311yescharacteristic
422#14273647C2311yescharacteristic
423#14273647C2311yescharacteristic
424#14273647C2311yescharacteristic
425#14273647C2311yescharacteristic
426#14273647C2311yescharacteristic
427(C2×D59)⋊C8C2311yescharacteristic
428(C2×D59)⋊C8C2311yescharacteristic
429(C2×D59)⋊C8C2311yescharacteristic
430(C2×D59)⋊C8C2311yescharacteristic
431#14273637C2311yescharacteristic
432C8×Dic59C2311yescharacteristic
433C8×Dic59C2311yescharacteristic
434C8×Dic59C2311yescharacteristic
435C4⋊Q8×C59—21no—
436C4⋊Q8×C59C2311yescharacteristic
437C4⋊Q8×C59C2311yescharacteristic
438C4⋊Q8×C59C2311yescharacteristic
439#126×C59—21no—
440#125×C59—21no—
441#125×C59C2311yescharacteristic
442#125×C59C2311yescharacteristic
443#124×C59—21no—
444#124×C59C2311yescharacteristic
445#123×C59—21no—
446C22⋊Q8×C59—21no—
447C22⋊Q8×C59—21no—
448C22⋊Q8×C59—21no—
449C22⋊Q8×C59C2311yescharacteristic
450#121×C59C2311yescharacteristic
451C4×Q8×C59C2311yescharacteristic
452C4×D4×C59C2311yescharacteristic
453#117×C59C2311yescharacteristic
454#117×C59C2311yescharacteristic
455C2×C4⋊C4×C59C2311yescharacteristic
456#107×C59C2311yescharacteristic
457#107×C59C2311yescharacteristic
458#106×C59C2311yescharacteristic
459#106×C59C2311yescharacteristic
460#106×C59C2311yescharacteristic
461#106×C59C2311yescharacteristic
462#106×C59C2311yescharacteristic
463#106×C59C2311yescharacteristic
464C4⋊C8×C59C2311yescharacteristic
465C4⋊C8×C59C2311yescharacteristic
466#103×C59C2311yescharacteristic
467#103×C59C2311yescharacteristic
468#103×C59C2311yescharacteristic
469#103×C59C2311yescharacteristic
470#102×C59C2311yescharacteristic
471#102×C59C2311yescharacteristic
472#102×C59C2311yescharacteristic
473#102×C59C2311yescharacteristic
474C22⋊C8×C59C2311yescharacteristic
475C22⋊C8×C59C2311yescharacteristic
476#97×C59C2311yescharacteristic
477C4×C8×C59C2311yescharacteristic
478C23×D59—21no—
479C23×D59—21no—
480C2×Q8×C59—21no—
481C2×Q8×C59—21no—
482C2×Q8×C59—21no—
483C2×Q8×C59C2411yescharacteristic
484C2×D4×C59—21no—
485C2×D4×C59C2411yescharacteristic
486C22×C4×C59—21no—
487C22×C4×C59—21no—
488C22×C4×C59C2411yescharacteristic
489C2×C22⋊D59—21no—
490C2×C22⋊D59—21no—
491C2×C22⋊D59—21no—
492C2×C22⋊D59—21no—
493C2×C22⋊D59—21no—
494C2×C22⋊D59C2×D411yescharacteristic
495C2×C22⋊D59C2×D411yescharacteristic
496C22×Dic59—21no—
497#11745689—22no—
498#11745689—41no—
499#11745689—82no—
500D4×D59—22no—
501D4×D59—41no—
502D4×D59—82no—
503C2×D236—22no—
504C2×D236—21no—
505C2×D236—21no—
506C2×D236—21no—
507C2×D236—21no—
508C2×D236—21no—
509C2×D236—21no—
510C2×D236—41no—
511C2×D236C2×D411yescharacteristic
512C2×D236C2411yescharacteristic
513C2×D236C2411yescharacteristic
514C2×D236C2411yescharacteristic
515C2×C4×D59—21no—
516C2×C4×D59—21no—
517C2×C4×D59—21no—
518C2×C4×D59—21no—
519C2×C4×D59—21no—
520C2×C4×D59—21no—
521C2×C4×D59—21no—
522C2×C4×D59—21no—
523C2×C4×D59—21no—
524C2×C4×D59—21no—
525C2×C4×D59—21no—
526C2×C4×D59—21no—
527C2×C4×D59—21no—
528C2×C4×D59—82no—
529C2×C4×D59C2×D411yescharacteristic
530C2×C4×D59C2×D411yescharacteristic
531C2×C4×D59C2411yescharacteristic
532C2×C4×D59C2411yescharacteristic
533C2×Dic118—21no—
534C2×Dic118—21no—
535C2×Dic118C2×D411yescharacteristic
536C2×Dic118C2411yescharacteristic
537C2×C8×C59C2411yescharacteristic
538C2×C8×C59C2411yescharacteristic
539C2×C8×C59C2411yescharacteristic
540C2×C8×C59C2411yescharacteristic
541C4⋊C4×C59—21no—
542C4⋊C4×C59—21no—
543C4⋊C4×C59—21no—
544C4⋊C4×C59—21no—
545C4⋊C4×C59—21no—
546C4⋊C4×C59—21no—
547C4⋊C4×C59—21no—
548C4⋊C4×C59—21no—
549C4⋊C4×C59—21no—
550C4⋊C4×C59—21no—
551C4⋊C4×C59C2×D411yescharacteristic
552C4⋊C4×C59C2×D411yescharacteristic
553C4⋊C4×C59C2411yescharacteristic
554C4⋊C4×C59C2411yescharacteristic
555C4⋊C4×C59C2411yescharacteristic
556C4⋊C4×C59C2411yescharacteristic
557C4⋊C4×C59C2411yescharacteristic
558C4⋊C4×C59C2411yescharacteristic
559C22⋊C4×C59—21no—
560C22⋊C4×C59—21no—
561C22⋊C4×C59—21no—
562C22⋊C4×C59—21no—
563C22⋊C4×C59—21no—
564C22⋊C4×C59—21no—
565C22⋊C4×C59C2×D411yescharacteristic
566C22⋊C4×C59C2×D411yescharacteristic
567C42×C59—21no—
568C42×C59—21no—
569C42×C59C2411yescharacteristic
570C42×C59C2411yescharacteristic
571C22⋊Dic59—21no—
572C22⋊Dic59—21no—
573C22⋊Dic59—21no—
574C22⋊Dic59—21no—
575C22⋊Dic59C2×D411yescharacteristic
576C22⋊Dic59C2×D411yescharacteristic
577#11745672—41no—
578#11745671—41no—
579#11745670—41no—
580#11745669—41no—
581(C2×D59)⋊C4—21no—
582(C2×D59)⋊C4—21no—
583(C2×D59)⋊C4—21no—
584(C2×D59)⋊C4—21no—
585(C2×D59)⋊C4—21no—
586(C2×D59)⋊C4—21no—
587(C2×D59)⋊C4—21no—
588(C2×D59)⋊C4—21no—
589(C2×D59)⋊C4—21no—
590(C2×D59)⋊C4—21no—
591(C2×D59)⋊C4—21no—
592(C2×D59)⋊C4—21no—
593(C2×D59)⋊C4—21no—
594(C2×D59)⋊C4—21no—
595(C2×D59)⋊C4—21no—
596(C2×D59)⋊C4—21no—
597(C2×D59)⋊C4—21no—
598(C2×D59)⋊C4—21no—
599(C2×D59)⋊C4—21no—
600(C2×D59)⋊C4—21no—
601(C2×D59)⋊C4—21no—
602(C2×D59)⋊C4—21no—
603(C2×D59)⋊C4—21no—
604(C2×D59)⋊C4—21no—
605(C2×D59)⋊C4C2×D411yescharacteristic
606(C2×D59)⋊C4C2×D411yescharacteristic
607(C2×D59)⋊C4C2×D411yescharacteristic
608(C2×D59)⋊C4C2×D411yescharacteristic
609(C2×D59)⋊C4C2×D411yescharacteristic
610(C2×D59)⋊C4C2×D411yescharacteristic
611C4⋊Dic59—21no—
612C4⋊Dic59—21no—
613C4⋊Dic59—21no—
614C4⋊Dic59—21no—
615C4⋊Dic59—21no—
616C4⋊Dic59—21no—
617C4⋊Dic59—21no—
618C4⋊Dic59—21no—
619C4⋊Dic59—21no—
620C4⋊Dic59C2×D411yescharacteristic
621C4⋊Dic59C2×D411yescharacteristic
622C4⋊Dic59C2411yescharacteristic
623C4⋊Dic59C2411yescharacteristic
624C4⋊Dic59C2411yescharacteristic
625C4⋊Dic59C2411yescharacteristic
626Dic59⋊C4—21no—
627Dic59⋊C4—21no—
628Dic59⋊C4—21no—
629Dic59⋊C4—21no—
630Dic59⋊C4—21no—
631Dic59⋊C4—21no—
632Dic59⋊C4—21no—
633Dic59⋊C4—21no—
634Dic59⋊C4—21no—
635Dic59⋊C4—21no—
636Dic59⋊C4—21no—
637Dic59⋊C4—21no—
638Dic59⋊C4—21no—
639Dic59⋊C4—21no—
640Dic59⋊C4C2×D411yescharacteristic
641Dic59⋊C4C2×D411yescharacteristic
642Dic59⋊C4C2×D411yescharacteristic
643Dic59⋊C4C2×D411yescharacteristic
644Dic59⋊C4C2×D411yescharacteristic
645Dic59⋊C4C2×D411yescharacteristic
646C4×Dic59—21no—
647C4×Dic59—21no—
648C4×Dic59—21no—
649C4×Dic59—21no—
650C4×Dic59—21no—
651C4×Dic59—21no—
652C4×Dic59—21no—
653C4×Dic59—21no—
654C4×Dic59C2×D411yescharacteristic
655C4×Dic59C2×D411yescharacteristic
656C4×Dic59C2411yescharacteristic
657C4×Dic59C2411yescharacteristic
658#11745664—41no—
659C2×C59⋊C8—41no—
660C2×C59⋊C8C2411yescharacteristic
661C2×C59⋊C8C2411yescharacteristic
662C2×C59⋊C8C2411yescharacteristic
663C2×C59⋊C8C2411yescharacteristic
664D472—22no—
665D472—41no—
666#11745660—22no—
667#11745660—41no—
668#11745659—41no—
669#11745659—41no—
670#11745659—41no—
671C8×D59—41no—
672C23×C59—21no—
673C23×C59C22×D411yescharacteristic
674C22×D59—21no—
675C22×D59—21no—
676C22×D59—21no—
677C22×D59—42no—
678C22×D59—42no—
679C22×D59—42no—
680C22×D59—81no—
681C22×D59—81no—
682C22×D59—81no—
683C22×D59C22×D411yescharacteristic
684C22×D59C22×D411yescharacteristic
685Q8×C59—21no—
686Q8×C59—21no—
687Q8×C59—81no—
688Q8×C59—81no—
689Q8×C59—81no—
690D4×C59—21no—
691D4×C59—21no—
692D4×C59—81no—
693C2×C4×C59—21no—
694C2×C4×C59—21no—
695C2×C4×C59—21no—
696C2×C4×C59—21no—
697C2×C4×C59—21no—
698C2×C4×C59—21no—
699C2×C4×C59—21no—
700C2×C4×C59—21no—
701C2×C4×C59—21no—
702C2×C4×C59—81no—
703C2×C4×C59—81no—
704C2×C4×C59C22×D411yescharacteristic
705C2×C4×C59C22×D411yescharacteristic
706C2×C4×C59C22×D411yescharacteristic
707C2×C4×C59C22×D411yescharacteristic
708C2×C4×C59C22×D411yescharacteristic
709C2×C4×C59C2511yescharacteristic
710C22⋊D59—41no—
711C22⋊D59—41no—
712C22⋊D59—42no—
713C22⋊D59—81no—
714C22⋊D59—81no—
715C22⋊D59—81no—
716C22⋊D59—81no—
717C2×Dic59—21no—
718C2×Dic59—21no—
719C2×Dic59—21no—
720C2×Dic59—21no—
721C2×Dic59—21no—
722C2×Dic59—81no—
723C2×Dic59C22×D411yescharacteristic
724C2×Dic59C22×D411yescharacteristic
725C2×Dic59C22×D411yescharacteristic
726C2×Dic59C22×D411yescharacteristic
727C2×Dic59C22×D411yescharacteristic
728C2×Dic59C22×D411yescharacteristic
729D236—21no—
730D236—21no—
731D236—21no—
732D236—21no—
733D236—21no—
734D236—41no—
735D236—42no—
736D236—42no—
737D236—42no—
738D236—81no—
739D236—81no—
740D236—81no—
741D2362−1+412yes—
742C4×D59—21no—
743C4×D59—21no—
744C4×D59—21no—
745C4×D59—21no—
746C4×D59—41no—
747C4×D59—41no—
748C4×D59—42no—
749C4×D59—42no—
750C4×D59—81no—
751C4×D59—81no—
752C4×D59—81no—
753C4×D59—81no—
754C4×D59—81no—
755C4×D59—81no—
756C4×D59—81no—
757C4×D59—81no—
758C4×D59—81no—
759C4×D59—81no—
760C4×D59—81no—
761Dic118—21no—
762Dic118—21no—
763Dic118—41no—
764Dic118—81no—
765Dic118—81no—
766C8×C59—21no—
767C8×C59—21no—
768C8×C59—21no—
769C8×C59—21no—
770C59⋊C8—21no—
771C59⋊C8—21no—
772C59⋊C8—21no—
773C59⋊C8—21no—
774#62175—591nomaximal, Sylow
775C22×C59—21no—
776C22×C59—21no—
777C22×C59—21no—
778C22×C59—41no—
779C22×C59—41no—
780C22×C59—41no—
781C22×C59C23×D411yescharacteristic
782C2×D59—21no—
783C2×D59—21no—
784C2×D59—21no—
785C2×D59—21no—
786C2×D59—21no—
787C2×D59—21no—
788C2×D59—22no—
789C2×D59—41no—
790C2×D59—41no—
791C2×D59—41no—
792C2×D59—41no—
793C2×D59—41no—
794C2×D59—41no—
795C2×D59—41no—
796C2×D59—41no—
797C2×D59—84no—
798C2×D59—162no—
799C4×C59—21no—
800C4×C59—21no—
801C4×C59—21no—
802C4×C59—21no—
803C4×C59—21no—
804C4×C59—41no—
805C4×C59—41no—
806C4×C59—41no—
807C4×C59—41no—
808C4×C59—41no—
809C4×C59—41no—
810C4×C59—41no—
811C4×C59C2×2−1+411yescharacteristic
812C4×C59#58511yescharacteristic
813Dic59—21no—
814Dic59—21no—
815Dic59—21no—
816Dic59—21no—
817Dic59—21no—
818Dic59—21no—
819Dic59—41no—
820Dic59—41no—
821Dic59—41no—
822Dic59—41no—
823Dic59—41no—
824#3565—591no—
825#3513—591no—
826#3389—591no—
827#3381—591no—
828#3371—591no—
829#3361—591no—
830#3354—591no—
831#3351—591no—
832#3351—591no—
833#3349—591no—
834#3343—591no—
835#3339—591no—
836#3324—591no—
837#3323—591no—
838#3322—591no—
839#3319—591no—
840#3318—591no—
841#3296—591no—
842#3262—591no—
843#3257—591no—
844#3256—591no—
845#3244D5911yescharacteristic, complemented
846#3241—591no—
847#3233—591no—
848#3125—591no—
849#3118—591no—
850#3105—591no—
851#3083—591no—
852#3081—591no—
853#3077—591no—
854#2993—591no—
855C2×C59—41no—
856C2×C59—81no—
857C2×C59#348911yescharacteristic
858C2×C59#358411yescharacteristic
859C2×C59#358511yescharacteristic
860D59—41no—
861D59—41no—
862D59—42no—
863D59—81no—
864D59—81no—
865#563—1181no—
866#562—1181no—
867#559—591no—
868#557—591no—
869#556—591no—
870#556—1181no—
871#555—591no—
872#554—591no—
873#554—591no—
874#553—591no—
875#553—591no—
876#553—591no—
877#553—1181no—
878#552—591no—
879#552—591no—
880#552—591no—
881#552—1181no—
882#551—1181no—
883#551—1181no—
884#547—591no—
885#546—591no—
886#546—591no—
887#546—1181no—
888D42—591no—
889#544—591no—
890#544C2×D5911yescharacteristic, complemented
891#542—591no—
892#542—591no—
893#542—1181no—
894#542—1181no—
895#542C2×D5911yescharacteristic
896#541—1181no—
897#540—591no—
898#539—1181no—
899#539—1181no—
900#538—1181no—
901#533—591no—
902#529—591no—
903#529—591no—
904#529—591no—
905#525—1181no—
906C2×#123—1181no—
907#520—591no—
908#518—591no—
909C2×C4×D4—591no—
910#501—591no—
911#501C2×D5911yescharacteristic, complemented
912#499—591no—
913#499—591no—
914#499—591no—
915#498C2×D5911yescharacteristic, complemented
916#490—591no—
917#489C2×D5911yescharacteristic, complemented
918#488—591no—
919#488—591no—
920#488C2×D5911yescharacteristic, complemented
921#486—591no—
922#485—591no—
923#485—591no—
924#485—591no—
925#485C2×D5911yescharacteristic, complemented
926#484—591no—
927#483—591no—
928#483C2×D5911yescharacteristic, complemented
929#482—591no—
930#482—591no—
931#482—591no—
932#482—591no—
933#482—591no—
934#482C2×D5911yescharacteristic
935#481—591no—
936#481—591no—
937#481—591no—
938#481C2×D5911yescharacteristic
939#480—591no—
940#479—591no—
941#479—591no—
942#479—591no—
943#479C2×D5911yescharacteristic, complemented
944#478—591no—
945#478—591no—
946#478—591no—
947#478—591no—
948#478—591no—
949#478—591no—
950#478—591no—
951#478—591no—
952#478—591no—
953#478—591no—
954#478—591no—
955#478C2×D5911yescharacteristic, complemented
956#477—591no—
957#477—591no—
958#477—591no—
959#476—591no—
960#476—591no—
961#476—591no—
962#476C2×D5911yescharacteristic, complemented
963#475C2×D5911yescharacteristic, complemented
964#474—591no—
965#474—591no—
966#474—591no—
967#474—591no—
968#474—591no—
969#474—591no—
970#470—591no—
971#469—591no—
972#469—591no—
973#468—591no—
974#468—591no—
975#468—591no—
976#468—591no—
977#468—591no—
978#467—591no—
979#466—591no—
980#466—591no—
981#465—591no—
982#464—591no—
983#464—591no—
984#464—591no—
985#463—591no—
986#463—591no—
987#463—591no—
988#463—591no—
989#463—591no—
990#460—591no—
991#459—591no—
992#452—591no—
993#450—591no—
994#450—591no—
995#449—591no—
996#447—591no—
997#447—591no—
998#446—591no—
999C8×Q8—591no—
1000#442—591no—
1001#442—591no—
1002#441—591no—
1003#440—591no—
1004C4×SD16—591no—
1005C4×SD16—591no—
1006C4×SD16—591no—
1007C4×SD16—591no—
1008C4×SD16—591no—
1009C4×D8—591no—
1010C4×D8—591no—
1011C4×D8—591no—
1012#436—591no—
1013#436—591no—
1014#436—591no—
1015#435—591no—
1016#435—591no—
1017C8×D4—591no—
1018#433—591no—
1019#433C2×D5911yescharacteristic, complemented
1020#431—591no—
1021#428—591no—
1022#428—591no—
1023#428—591no—
1024#428—591no—
1025#427—591no—
1026C2×#107—591no—
1027#424—591no—
1028#424—591no—
1029#423—591no—
1030#418—591no—
1031#418—591no—
1032#418—591no—
1033#417—591no—
1034#416—591no—
1035C2×#102—591no—
1036C59#6217511yescharacteristic, complemented, Sylow
1037C2×#41—591no—
1038C2×#41—1181no—
1039C22×D4—591no—
1040C22×D4—591no—
1041C22×D4—1181no—
1042C23×C4—1181no—
1043C2×Q16—591no—
1044C2×SD16—591no—
1045C2×SD16—591no—
1046C2×SD16—591no—
1047C2×SD16—591no—
1048C2×D8—591no—
1049C2×D8—591no—
1050C2×D8—591no—
1051C2×M16—591no—
1052C2×M16—591no—
1053C2×M16—591no—
1054C2×M16—591no—
1055C22×C8—591no—
1056C22×C8—591no—
1057C4⋊Q8—21no—
1058C4⋊Q8—591no—
1059C4⋊Q8—591no—
1060C4⋊Q8—1181no—
1061C4⋊Q8—1181no—
1062C4⋊Q8C22×D5911yescharacteristic
1063C4⋊Q8C22×D5911yescharacteristic
1064C4⋊Q8C22×D5911yescharacteristic
1065#127—591no—
1066#126—21no—
1067#126—591no—
1068#126—591no—
1069#126—1181no—
1070#126—1181no—
1071#126—1181no—
1072#126—1181no—
1073#126—1181no—
1074#126—1181no—
1075#126—1181no—
1076#126—1181no—
1077#126—1181no—
1078#126—1181no—
1079#126—1181no—
1080#126—1181no—
1081#125—21no—
1082#125—591no—
1083#125—591no—
1084#125—591no—
1085#125—591no—
1086#125—591no—
1087#125—591no—
1088#125—1181no—
1089#125—1181no—
1090#125—1181no—
1091#125—1181no—
1092#125—1181no—
1093#125—1181no—
1094#125C22×D5911yescharacteristic
1095#125C22×D5911yescharacteristic
1096#124—21no—
1097#124—591no—
1098#124—591no—
1099#124—591no—
1100#124—1181no—
1101#124—1181no—
1102#124—1181no—
1103#124—1181no—
1104#124—1181no—
1105#124—1181no—
1106#124C22×D5911yescharacteristic
1107#123—21no—
1108#123—591no—
1109#123—591no—
1110#123—1181no—
1111#123—1181no—
1112#123—1181no—
1113#123—1181no—
1114#123—1181no—
1115#123—1181no—
1116#123—1181no—
1117#123—1181no—
1118#123—1181no—
1119#123—1181no—
1120#123—1181no—
1121#123—1181no—
1122#123—1181no—
1123#123—1181no—
1124#123—1181no—
1125#123—1181no—
1126#123—1181no—
1127#123—1181no—
1128C22⋊Q8—21no—
1129C22⋊Q8—21no—
1130C22⋊Q8—21no—
1131C22⋊Q8—591no—
1132C22⋊Q8—591no—
1133C22⋊Q8—591no—
1134C22⋊Q8—591no—
1135C22⋊Q8—591no—
1136C22⋊Q8—1181no—
1137C22⋊Q8—1181no—
1138C22⋊Q8—1181no—
1139C22⋊Q8—1181no—
1140C22⋊Q8—1181no—
1141C22⋊Q8—1181no—
1142C22⋊Q8—1181no—
1143C22⋊Q8—1181no—
1144C22⋊Q8—1181no—
1145C22⋊Q8—1181no—
1146C22⋊Q8—1181no—
1147C22⋊Q8—1181no—
1148C22⋊Q8—1181no—
1149C22⋊Q8C22×D5911yescharacteristic
1150#121—591no—
1151#121—591no—
1152#121—591no—
1153#121—591no—
1154#121—591no—
1155#121—591no—
1156#121—591no—
1157#121—1181no—
1158#121—1181no—
1159#121—1181no—
1160#121—1181no—
1161#121—1181no—
1162#121—1181no—
1163#121—1181no—
1164#121—1181no—
1165#121—1181no—
1166#121C22×D5911yescharacteristic
1167#120—1181no—
1168#120—1181no—
1169#120—1181no—
1170#120—1181no—
1171C4×Q8—591no—
1172C4×Q8—591no—
1173C4×Q8—591no—
1174C4×Q8—591no—
1175C4×Q8—591no—
1176C4×Q8—1181no—
1177C4×Q8—1181no—
1178C4×Q8—1181no—
1179C4×Q8—1181no—
1180C4×Q8C22×D5911yescharacteristic
1181C4×D4—591no—
1182C4×D4—591no—
1183C4×D4—591no—
1184C4×D4—591no—
1185C4×D4—591no—
1186C4×D4—591no—
1187C4×D4—591no—
1188C4×D4—591no—
1189C4×D4—591no—
1190C4×D4—591no—
1191C4×D4—591no—
1192C4×D4—591no—
1193C4×D4—591no—
1194C4×D4—1181no—
1195C4×D4—1181no—
1196C4×D4—1181no—
1197C4×D4—1181no—
1198C4×D4—1181no—
1199C4×D4—1181no—
1200C4×D4—1181no—
1201C4×D4—1181no—
1202C4×D4—1181no—
1203C4×D4—1181no—
1204C4×D4—1181no—
1205C4×D4—1181no—
1206C4×D4C22×D5911yescharacteristic
1207#117—591no—
1208#117—591no—
1209#117—591no—
1210#117—591no—
1211#117—591no—
1212#117—1181no—
1213#117—1181no—
1214#117—1181no—
1215#117—1181no—
1216#117—1181no—
1217#117—1181no—
1218#117—1181no—
1219#117C22×D5911yescharacteristic
1220#117C22×D5911yescharacteristic
1221C2×C4⋊C4—591no—
1222C2×C4⋊C4—591no—
1223C2×C4⋊C4—591no—
1224C2×C4⋊C4—1181no—
1225C2×C4⋊C4—1181no—
1226C2×C4⋊C4—1181no—
1227C2×C4⋊C4C22×D5911yescharacteristic
1228C2×C22⋊C4—1181no—
1229C2×C22⋊C4—1181no—
1230C2×C22⋊C4—1181no—
1231C2×C22⋊C4—1181no—
1232C2×C22⋊C4—1181no—
1233C2×C42—591no—
1234#107—591no—
1235#107—591no—
1236#107—591no—
1237#107—591no—
1238#107—591no—
1239#107—591no—
1240#107—591no—
1241#107—591no—
1242#107—591no—
1243#107—591no—
1244#107C22×D5911yescharacteristic
1245#107C22×D5911yescharacteristic
1246#106—591no—
1247#106—591no—
1248#106—591no—
1249#106—591no—
1250#106—591no—
1251#106—591no—
1252#106C22×D5911yescharacteristic
1253#106C22×D5911yescharacteristic
1254#106C22×D5911yescharacteristic
1255#106C22×D5911yescharacteristic
1256#106C22×D5911yescharacteristic
1257#106C22×D5911yescharacteristic
1258C4⋊C8—591no—
1259C4⋊C8—591no—
1260C4⋊C8—591no—
1261C4⋊C8—591no—
1262C4⋊C8—591no—
1263C4⋊C8—591no—
1264C4⋊C8—591no—
1265C4⋊C8—591no—
1266C4⋊C8C22×D5911yescharacteristic
1267C4⋊C8C22×D5911yescharacteristic
1268#103—591no—
1269#103—591no—
1270#103—591no—
1271#103—591no—
1272#103—591no—
1273#103—591no—
1274#103C22×D5911yescharacteristic
1275#103C22×D5911yescharacteristic
1276#103C22×D5911yescharacteristic
1277#103C22×D5911yescharacteristic
1278#102—591no—
1279#102—591no—
1280#102—591no—
1281#102—591no—
1282#102—591no—
1283#102—591no—
1284#102—591no—
1285#102—591no—
1286#102—591no—
1287#102—591no—
1288#102—591no—
1289#102—591no—
1290#102—591no—
1291#102—591no—
1292#102—591no—
1293#102—591no—
1294#102—591no—
1295#102—591no—
1296#102C22×D5911yescharacteristic
1297#102C22×D5911yescharacteristic
1298#102C22×D5911yescharacteristic
1299#102C22×D5911yescharacteristic
1300C22⋊C8—591no—
1301C22⋊C8—591no—
1302C22⋊C8—591no—
1303C22⋊C8—591no—
1304C22⋊C8C22×D5911yescharacteristic
1305C22⋊C8C22×D5911yescharacteristic
1306#97—591no—
1307#97C22×D5911yescharacteristic
1308C4×C8—591no—
1309C4×C8—591no—
1310C4×C8—591no—
1311C4×C8C22×D5911yescharacteristic
1312C24—1181no—
1313C24—1181no—
1314#41—1182no—
1315#41—4722no—
1316#41—2361no—
1317C2×Q8—21no—
1318C2×Q8—21no—
1319C2×Q8—21no—
1320C2×Q8—591no—
1321C2×Q8—591no—
1322C2×Q8—1181no—
1323C2×Q8—1181no—
1324C2×Q8C23×D5911yescharacteristic
1325C2×D4—21no—
1326C2×D4—591no—
1327C2×D4—591no—
1328C2×D4—591no—
1329C2×D4—591no—
1330C2×D4—591no—
1331C2×D4—591no—
1332C2×D4—1182no—
1333C2×D4—1181no—
1334C2×D4—1181no—
1335C2×D4—1181no—
1336C2×D4—1181no—
1337C2×D4—1181no—
1338C2×D4—1181no—
1339C2×D4—1181no—
1340C2×D4—1181no—
1341C2×D4—1182no—
1342C2×D4—1181no—
1343C2×D4—1181no—
1344C2×D4—1181no—
1345C2×D4—4722no—
1346C2×D4—2361no—
1347C2×D4—2361no—
1348C2×D4C23×D5911yescharacteristic
1349C22×C4—21no—
1350C22×C4—21no—
1351C22×C4—591no—
1352C22×C4—591no—
1353C22×C4—591no—
1354C22×C4—591no—
1355C22×C4—1181no—
1356C22×C4—1181no—
1357C22×C4—1181no—
1358C22×C4—1181no—
1359C22×C4—1181no—
1360C22×C4—1181no—
1361C22×C4—1181no—
1362C22×C4—1181no—
1363C22×C4—1181no—
1364C22×C4—1181no—
1365C22×C4—1181no—
1366C22×C4—1181no—
1367C22×C4—1181no—
1368C22×C4—1181no—
1369C22×C4—4722no—
1370C22×C4C23×D5911yescharacteristic
1371Q16—2361no—
1372SD16—1182no—
1373SD16—2361no—
1374SD16—2361no—
1375SD16—2361no—
1376D8—1182no—
1377D8—2361no—
1378D8—2361no—
1379M16—2361no—
1380M16—2361no—
1381M16—2361no—
1382M16—2361no—
1383C2×C8—591no—
1384C2×C8—591no—
1385C2×C8—591no—
1386C2×C8—591no—
1387C2×C8—2361no—
1388C2×C8—2361no—
1389C2×C8C23×D5911yescharacteristic
1390C2×C8C23×D5911yescharacteristic
1391C2×C8C23×D5911yescharacteristic
1392C2×C8C23×D5911yescharacteristic
1393C4⋊C4—21no—
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—21no—
1401C4⋊C4—21no—
1402C4⋊C4—21no—
1403C4⋊C4—591no—
1404C4⋊C4—591no—
1405C4⋊C4—591no—
1406C4⋊C4—591no—
1407C4⋊C4—591no—
1408C4⋊C4—591no—
1409C4⋊C4—591no—
1410C4⋊C4—591no—
1411C4⋊C4—591no—
1412C4⋊C4—591no—
1413C4⋊C4—591no—
1414C4⋊C4—591no—
1415C4⋊C4—1181no—
1416C4⋊C4—1181no—
1417C4⋊C4—1181no—
1418C4⋊C4—1181no—
1419C4⋊C4—1181no—
1420C4⋊C4—1181no—
1421C4⋊C4—1181no—
1422C4⋊C4—1181no—
1423C4⋊C4—1181no—
1424C4⋊C4—1181no—
1425C4⋊C4—1181no—
1426C4⋊C4—1181no—
1427C4⋊C4—1181no—
1428C4⋊C4—1181no—
1429C4⋊C4—1181no—
1430C4⋊C4—1181no—
1431C4⋊C4—1181no—
1432C4⋊C4—1181no—
1433C4⋊C4—1181no—
1434C4⋊C4—1181no—
1435C4⋊C4—1181no—
1436C4⋊C4—1181no—
1437C4⋊C4—1181no—
1438C4⋊C4D4×D5911yescharacteristic
1439C4⋊C4D4×D5911yescharacteristic
1440C4⋊C4C23×D5911yescharacteristic
1441C4⋊C4C23×D5911yescharacteristic
1442C4⋊C4C23×D5911yescharacteristic
1443C4⋊C4C23×D5911yescharacteristic
1444C4⋊C4C23×D5911yescharacteristic
1445C4⋊C4C23×D5911yescharacteristic
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—591no—
1453C22⋊C4—591no—
1454C22⋊C4—591no—
1455C22⋊C4—591no—
1456C22⋊C4—591no—
1457C22⋊C4—591no—
1458C22⋊C4—591no—
1459C22⋊C4—591no—
1460C22⋊C4—1181no—
1461C22⋊C4—1181no—
1462C22⋊C4—1181no—
1463C22⋊C4—1181no—
1464C22⋊C4—1181no—
1465C22⋊C4—1181no—
1466C22⋊C4—1181no—
1467C22⋊C4—1181no—
1468C22⋊C4—1181no—
1469C22⋊C4—1181no—
1470C22⋊C4—1181no—
1471C22⋊C4—1181no—
1472C22⋊C4—1181no—
1473C22⋊C4—1181no—
1474C22⋊C4—1181no—
1475C22⋊C4—1181no—
1476C22⋊C4—1181no—
1477C22⋊C4—1181no—
1478C22⋊C4—1181no—
1479C22⋊C4—1181no—
1480C22⋊C4—1181no—
1481C22⋊C4—1181no—
1482C22⋊C4—1181no—
1483C22⋊C4—1181no—
1484C22⋊C4—1181no—
1485C22⋊C4—1181no—
1486C22⋊C4—1181no—
1487C22⋊C4—1181no—
1488C22⋊C4D4×D5911yescharacteristic
1489C22⋊C4D4×D5911yescharacteristic
1490C42—21no—
1491C42—21no—
1492C42—591no—
1493C42—591no—
1494C42—591no—
1495C42—591no—
1496C42—1181no—
1497C42—1181no—
1498C42—1181no—
1499C42—1181no—
1500C42—1181no—
1501C42—1181no—
1502C42—1181no—
1503C42—1181no—
1504C42C23×D5911yescharacteristic
1505C42C23×D5911yescharacteristic
1506C23—21no—
1507C23—591no—
1508C23—591no—
1509C23—1181no—
1510C23—1181no—
1511C23—1181no—
1512C23—4721no—
1513C23—4721no—
1514C23—4721no—
1515C23—2362no—
1516C23—2362no—
1517C23—2362no—
1518C23C2×D4×D5911yescharacteristic
1519Q8—21no—
1520Q8—21no—
1521Q8—81no—
1522Q8—81no—
1523Q8—81no—
1524Q8—1181no—
1525Q8—1181no—
1526Q8—4721no—
1527Q8—4721no—
1528Q8—2361no—
1529D4—21no—
1530D4—21no—
1531D4—81no—
1532D4—592no—
1533D4—1181no—
1534D4—1181no—
1535D4—1181no—
1536D4—1181no—
1537D4—1181no—
1538D4—4721no—
1539D4—4721no—
1540D4—4721no—
1541D4—4721no—
1542D4—4721no—
1543D4—4721no—
1544D4—4721no—
1545D4—2361no—
1546D4—2362no—
1547D4—2362no—
1548D4—2362no—
1549D4—2361no—
1550D4—2361no—
1551D4—2362no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—81no—
1562C2×C4—81no—
1563C2×C4—591no—
1564C2×C4—591no—
1565C2×C4—591no—
1566C2×C4—591no—
1567C2×C4—591no—
1568C2×C4—591no—
1569C2×C4—1181no—
1570C2×C4—1181no—
1571C2×C4—1181no—
1572C2×C4—1181no—
1573C2×C4—1181no—
1574C2×C4—1181no—
1575C2×C4—1181no—
1576C2×C4—1181no—
1577C2×C4—1181no—
1578C2×C4—4721no—
1579C2×C4—4721no—
1580C2×C4—4721no—
1581C2×C4—4721no—
1582C2×C4—4721no—
1583C2×C4—4721no—
1584C2×C4—4721no—
1585C2×C4—4721no—
1586C2×C4—4721no—
1587C2×C4—4721no—
1588C2×C4—4721no—
1589C2×C4—4721no—
1590C2×C4—2361no—
1591C2×C4—2361no—
1592C2×C4—2362no—
1593C2×C4—2362no—
1594C2×C4C2×D4×D5911yescharacteristic
1595C2×C4C2×D4×D5911yescharacteristic
1596C2×C4C2×D4×D5911yescharacteristic
1597C2×C4C2×D4×D5911yescharacteristic
1598C2×C4C2×D4×D5911yescharacteristic
1599C2×C4C24×D5911yescharacteristic
1600C8—21no—
1601C8—21no—
1602C8—21no—
1603C8—21no—
1604C8—1181no—
1605C8—1181no—
1606C8—1181no—
1607C8—1181no—
1608C22—21no—
1609C22—21no—
1610C22—21no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—1181no—
1615C22—1181no—
1616C22—1182no—
1617C22—1181no—
1618C22—1181no—
1619C22—1181no—
1620C22—1181no—
1621C22—9442no—
1622C22—4724no—
1623C22—2361no—
1624C22—2361no—
1625C22—2361no—
1626C22—2361no—
1627C22—2361no—
1628C22—2361no—
1629C22—2361no—
1630C22—2361no—
1631C22C22×D4×D5911yescharacteristic
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—21no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—1181no—
1645C4—1181no—
1646C4—1181no—
1647C4—1181no—
1648C4—1181no—
1649C4—1181no—
1650C4—2361no—
1651C4—2361no—
1652C4—2361no—
1653C4—2361no—
1654C4—2361no—
1655C42−1+4×D5911yescharacteristic
1656C4#1683823911yescharacteristic
1657C2—41no—
1658C2—81no—
1659C2—4721no—
1660C2—4721no—
1661C2—2361no—
1662C2—2361no—
1663C2—2362no—
1664C2#2143777411yescharacteristic
1665C2#2143886811yescharacteristic
1666C2#2143887411yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3244C2
socleC22×C59C23×D4
hypercenter#3244D59
hypocenterC59#62175
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ #117 ◁ #3244

Complements

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

NH ≅ G/Ntype
1. #21438729C2semidirect
2. #21438042C2semidirect
3. #21437051C2semidirect
4. #21436976C2semidirect
5. #21436863C2semidirect
6. #21436753C2semidirect
7. #21436690C2semidirect
8. #21436660C2semidirect
9. #21436659C2semidirect
10. #21436624C2semidirect
11. #21436535C2semidirect
12. #21436491C2semidirect
13. #21436325C2semidirect
14. #21436311C2semidirect
15. #21436295C2semidirect
16. #21436251C2semidirect
17. #21436235C2semidirect
18. #21435929C2semidirect
19. #21435552C2semidirect
20. #21435506C2semidirect
21. #21435499C2semidirect
22. #21435354C2semidirect
23. #21435279C2semidirect
24. #21434380C2semidirect
25. #21434282C2semidirect
26. #21434148C2semidirect
27. #21433950C2semidirect
28. #21433921C2semidirect
29. #21433894C2semidirect
30. #21433239C2semidirect
31. C59×#3244C2semidirect
35. #16838127C22semidirect
38. #16838118C22semidirect
40. #16838108C22semidirect
44. #16838096C22semidirect
45. #16838090C22semidirect
46. #16838087C22semidirect
56. #16838032C22semidirect
57. #16838026C22semidirect
59. #16838023C22semidirect
66. #16837957C22semidirect
68. #16837937C22semidirect
75. #16837810C22semidirect
76. #16837802C22semidirect
77. #16837802C22semidirect
78. #16837802C22semidirect
80. #16837758C22semidirect
81. #16837758C22semidirect
83. #16837744C22semidirect
84. #16837741C22semidirect
85. #16837741C22semidirect
86. #16837739C22semidirect
87. #16837734C22semidirect
90. #16837728C22semidirect
91. #16837727C22semidirect
92. #16837725C22semidirect
93. #16837722C22semidirect
94. #16837722C22semidirect
95. #16837719C22semidirect
96. #16837717C22semidirect
97. #16837712C22semidirect
98. #16837712C22semidirect
99. #16837711C22semidirect
100. #16837705C22semidirect
104. #16837701C22semidirect
105. #16837700C22semidirect
106. #16837700C22semidirect
109. #16837699C22semidirect
110. #16837699C22semidirect
111. #16837697C22semidirect
112. #16837695C22semidirect
113. #16837694C22semidirect
114. #16837693C22semidirect
116. #16837689C22semidirect
118. #16837682C22semidirect
121. #16837679C22semidirect
122. #16837679C22semidirect
123. #16837659C22semidirect
125. #16837656C22semidirect
126. #16837651C22semidirect
127. #16837650C22semidirect
129. #16837647C22semidirect
131. #16837641C22semidirect
132. #16837637C22semidirect
134. #16837632C22semidirect
135. #16837627C22semidirect
136. #16837624C22semidirect
137. #16837621C22semidirect
138. #16837620C22semidirect
140. #16837618C22semidirect
141. #16837617C22semidirect
142. #16837614C22semidirect
151. #16837530C22semidirect
152. C8×Dic118C22semidirect
155. #16837506C22semidirect
156. #16837504C22semidirect
157. #16837493C22semidirect
161. #16837487C22semidirect
162. C4×D472C22semidirect
164. #16837482C22semidirect
165. #16837481C22semidirect
167. #16837477C22semidirect
168. #16837475C22semidirect
170. (C22⋊D59)⋊C8C22semidirect
171. #16837462C22semidirect
172. #16837454C22semidirect
173. #16837442C22semidirect
174. #16837441C22semidirect
175. #16837441C22semidirect
176. #16837441C22semidirect
177. #16837438C22semidirect
178. #107×D59C22semidirect
179. #16837429C22semidirect
180. #16837427C22semidirect
181. #16837424C22semidirect
188. C59×#544C22semidirect
190. C59×#501C22semidirect
191. C59×#498C22semidirect
192. C59×#489C22semidirect
193. C59×#488C22semidirect
194. C59×#485C22semidirect
195. C59×#483C22semidirect
198. C59×#479C22semidirect
199. C59×#478C22semidirect
200. C59×#476C22semidirect
201. C59×#475C22semidirect
202. C59×#433C22semidirect
845. #3244D59semidirect
890. #544C2×D59semidirect
911. #501C2×D59semidirect
915. #498C2×D59semidirect
917. #489C2×D59semidirect
920. #488C2×D59semidirect
925. #485C2×D59semidirect
928. #483C2×D59semidirect
943. #479C2×D59semidirect
955. #478C2×D59semidirect
962. #476C2×D59semidirect
963. #475C2×D59semidirect
1019. #433C2×D59semidirect
1036. C59#62175semidirect

Maximal subgroups

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

subgroupindex
#214387292
#214380422
#214370512
#214369762
#214368632
#214367532
#214366902
#214366602
#214366592
#214366242
#214365352
#214364912
#214363252
#214363112
#214362952
#214362512
#214362352
#214359292
#214355522
#214355062
#214354992
#214353542
#214352792
#214343802
#214342822
#214341482
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