Finite Group Databasebeta

← #29474097

Subgroups — #29474097

Order 15104.

2110 conjugacy classes of subgroups.

The subgroup lattice has 1866 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438148C211yesmaximal, characteristic, complemented
2#548×D59C211yesmaximal, characteristic, complemented
3#21436370C211yesmaximal, characteristic, complemented
4#21436368C211yesmaximal, characteristic, complemented
5#21436164C211yesmaximal, characteristic, complemented
6#21436162C211yesmaximal, characteristic, complemented
7#21436094C211yesmaximal, characteristic, complemented
8#21436092C211yesmaximal, characteristic, complemented
9#21435978C211yesmaximal, characteristic, complemented
10#21435976C211yesmaximal, characteristic, complemented
11#21435835C211yesmaximal, characteristic, complemented
12#21435831C211yesmaximal, characteristic, complemented
13#21435747C211yesmaximal, characteristic, complemented
14#21435746C211yesmaximal, characteristic, complemented
15#21435672C211yesmaximal, characteristic, complemented
16#21435665C211yesmaximal, characteristic, complemented
17#21435647C211yesmaximal, characteristic, complemented
18#21435094C211yesmaximal, characteristic, complemented
19#21435059C211yesmaximal, characteristic, complemented
20#21434924C211yesmaximal, characteristic, complemented
21#21434897C211yesmaximal, characteristic, complemented
22#21434867C211yesmaximal, characteristic, complemented
23#21434859C211yesmaximal, characteristic, complemented
24#21434265C211yesmaximal, characteristic, complemented
25#21434134C211yesmaximal, characteristic, complemented
26#21433353C211yesmaximal, characteristic, complemented
27#21433328C211yesmaximal, characteristic, complemented
28#21433310C211yesmaximal, characteristic, complemented
29#451×D59C211yesmaximal, characteristic, complemented
30#21433126C211yesmaximal, characteristic, complemented
31C59×#3269C211yesmaximal, characteristic, complemented
32C2×#41×D59C2211yescharacteristic
33C22×Q8×D59C2211yescharacteristic
34C2×#14273759C2211yescharacteristic, complemented
35C2×#14273757C2211yescharacteristic, complemented
36C2×#14273756C2211yescharacteristic, complemented
37C2×#14273747C2211yescharacteristic, complemented
38C2×Q16×D59C2211yescharacteristic, complemented
39C2×Q16×D59C2211yescharacteristic, complemented
40#16838122C2211yescharacteristic, complemented
41#16838107—21no—
42#16838086C2211yescharacteristic, complemented
43#16838086C2211yescharacteristic, complemented
44#16838080—21no—
45#16838080—21no—
46#16838067C2211yescharacteristic, complemented
47#16838064C2211yescharacteristic
48#16838063C2211yescharacteristic
49#16838062—21no—
50#16838062C2211yescharacteristic
51#16838061—21no—
52#16838061C2211yescharacteristic
53#16838060—21no—
54#16838060C2211yescharacteristic
55#16838059C2211yescharacteristic
56#16838059C2211yescharacteristic, complemented
57#16838059C2211yescharacteristic, complemented
58#16838058—21no—
59#16838058C2211yescharacteristic
60#16838057C2211yescharacteristic, complemented
61#16838049—21no—
62#16838019—21no—
63#16837995—21no—
64#16837995—21no—
65#16837957C2211yescharacteristic
66#16837934C2211yescharacteristic
67#124×D59—21no—
68#124×D59C2211yescharacteristic
69#16837909C2211yescharacteristic
70#16837909C2211yescharacteristic
71C22⋊Q8×D59—21no—
72C22⋊Q8×D59C2211yescharacteristic
73C22⋊Q8×D59C2211yescharacteristic
74C22⋊Q8×D59C2211yescharacteristic
75#121×D59—21no—
76#121×D59C2211yescharacteristic
77#16837883—21no—
78C4×Q8×D59C2211yescharacteristic
79C4×D4×D59—21no—
80C4×D4×D59C2211yescharacteristic
81#16837794C2211yescharacteristic, complemented
82#16837785C2211yescharacteristic, complemented
83#16837783C2211yescharacteristic, complemented
84#16837762C2211yescharacteristic, complemented
85#16837761C2211yescharacteristic, complemented
86#16837758C2211yescharacteristic, complemented
87#16837755C2211yescharacteristic, complemented
88#16837744C2211yescharacteristic, complemented
89#16837740C2211yescharacteristic, complemented
90#16837739C2211yescharacteristic
91#16837739C2211yescharacteristic, complemented
92#16837736C2211yescharacteristic
93#16837736C2211yescharacteristic
94#16837736C2211yescharacteristic, complemented
95#16837727C2211yescharacteristic, complemented
96#16837723C2211yescharacteristic, complemented
97#16837719C2211yescharacteristic
98#16837717C2211yescharacteristic, complemented
99#16837714C2211yescharacteristic, complemented
100#16837708C2211yescharacteristic, complemented
101#16837707C2211yescharacteristic, complemented
102#16837698C2211yescharacteristic, complemented
103#16837697C2211yescharacteristic, complemented
104#16837659C2211yescharacteristic, complemented
105#16837657C2211yescharacteristic, complemented
106#16837650C2211yescharacteristic, complemented
107#16837648C2211yescharacteristic, complemented
108#16837647C2211yescharacteristic, complemented
109#16837646C2211yescharacteristic, complemented
110#16837645C2211yescharacteristic, complemented
111#16837643C2211yescharacteristic, complemented
112#16837641C2211yescharacteristic, complemented
113#16837641C2211yescharacteristic, complemented
114#16837637C2211yescharacteristic, complemented
115#16837635C2211yescharacteristic, complemented
116#16837634C2211yescharacteristic, complemented
117#16837628C2211yescharacteristic, complemented
118#16837626C2211yescharacteristic, complemented
119#16837626C2211yescharacteristic, complemented
120#16837625C2211yescharacteristic, complemented
121#16837623C2211yescharacteristic, complemented
122#16837622C2211yescharacteristic, complemented
123#16837622C2211yescharacteristic, complemented
124#16837622C2211yescharacteristic, complemented
125#16837621C2211yescharacteristic, complemented
126#16837617C2211yescharacteristic, complemented
127#16837609C2211yescharacteristic, complemented
128#16837566C2211yescharacteristic, complemented
129#16837564C2211yescharacteristic, complemented
130#16837564C2211yescharacteristic, complemented
131#16837563C2211yescharacteristic, complemented
132#16837562C2211yescharacteristic, complemented
133#16837561C2211yescharacteristic, complemented
134#16837560C2211yescharacteristic, complemented
135#16837559C2211yescharacteristic
136#16837559C2211yescharacteristic
137#16837559C2211yescharacteristic, complemented
138#16837558C2211yescharacteristic, complemented
139#16837557C2211yescharacteristic, complemented
140#16837556C2211yescharacteristic
141#16837556C2211yescharacteristic
142#16837556C2211yescharacteristic
143#16837556C2211yescharacteristic
144#16837556C2211yescharacteristic, complemented
145#16837556C2211yescharacteristic, complemented
146#16837556C2211yescharacteristic, complemented
147#16837554C2211yescharacteristic
148#16837551C2211yescharacteristic
149#16837551C2211yescharacteristic
150#16837547C2211yescharacteristic, complemented
151#16837546C2211yescharacteristic, complemented
152#16837544C2211yescharacteristic, complemented
153#16837542C2211yescharacteristic, complemented
154#16837539C2211yescharacteristic
155#16837539C2211yescharacteristic
156#16837539C2211yescharacteristic, complemented
157#16837539C2211yescharacteristic, complemented
158#16837539C2211yescharacteristic, complemented
159#16837534C2211yescharacteristic
160#16837510C2211yescharacteristic, complemented
161#16837507C2211yescharacteristic, complemented
162#16837502C2211yescharacteristic, complemented
163Q16×Dic59C2211yescharacteristic, complemented
164Q16×Dic59C2211yescharacteristic, complemented
165#16837494C2211yescharacteristic, complemented
166#16837494C2211yescharacteristic, complemented
167#16837478C2211yescharacteristic, complemented
168#16837477C2211yescharacteristic, complemented
169#16837475C2211yescharacteristic, complemented
170#16837474C2211yescharacteristic, complemented
171#16837472C2211yescharacteristic, complemented
172C8×C22⋊D59C2211yescharacteristic, complemented
173(C22⋊D59)⋊C8C2211yescharacteristic, complemented
174#16837457C2211yescharacteristic
175#16837454C2211yescharacteristic
176#16837412C2211yescharacteristic, complemented
177#16837411C2211yescharacteristic, complemented
178#16837402C2211yescharacteristic, complemented
179#16837400C2211yescharacteristic, complemented
180#16837399C2211yescharacteristic, complemented
181#16837398C2211yescharacteristic, complemented
182#103×D59C2211yescharacteristic, complemented
183#103×D59C2211yescharacteristic, complemented
184#16837365C2211yescharacteristic
185#16837364C2211yescharacteristic
186C2×(C2×D59)⋊C8C2211yescharacteristic
187C22⋊C8×D59C2211yescharacteristic
188C2×#137×C59C2211yescharacteristic, complemented
189C2×#135×C59C2211yescharacteristic, complemented
190C59×#548C2211yescharacteristic
191C59×#547C2211yescharacteristic, complemented
192C59×#497C2211yescharacteristic, complemented
193C59×#468C2211yescharacteristic, complemented
194C59×#467C2211yescharacteristic, complemented
195C59×#463C2211yescharacteristic, complemented
196C59×#462C2211yescharacteristic, complemented
197C59×#452C2211yescharacteristic, complemented
198C59×#452C2211yescharacteristic, complemented
199C59×#451C2211yescharacteristic, complemented
200C59×#449C2211yescharacteristic, complemented
201C59×#440C2211yescharacteristic, complemented
202C59×#435C2211yescharacteristic, complemented
203C2×#11745689C2311yescharacteristic
204C2×#11745685—21no—
205C2×#11745685—21no—
206C2×#11745685C2311yescharacteristic
207C2×#11745687—21no—
208C2×#11745687C2311yescharacteristic
209#41×D59—42no—
210#41×D59—42no—
211C22×Dic118—21no—
212C22×Dic118C2311yescharacteristic
213C2×Q8×D59—21no—
214C2×Q8×D59—21no—
215C2×Q8×D59—42no—
216C2×Q8×D59—42no—
217C2×Q8×D59C2311yescharacteristic
218C2×Q8×D59C2311yescharacteristic
219C2×Q8×D59C2311yescharacteristic
220C2×Q8×D59C2311yescharacteristic
221C2×Q8×D59C2311yescharacteristic
222C2×Q8×D59C2311yescharacteristic
223C2×D4×D59—21no—
224C2×D4×D59—21no—
225C2×D4×D59D411yescharacteristic
226C2×D4×D59C2311yescharacteristic
227C22×C4×D59—21no—
228C22×C4×D59—21no—
229C22×C4×D59C2311yescharacteristic
230C22×C4×D59C2311yescharacteristic
231#14273759—42no—
232#14273757—42no—
233#14273756—42no—
234#14273747—42no—
235C2×Dic236C2311yescharacteristic
236C2×Dic236C2311yescharacteristic
237C2×#11745672C2311yescharacteristic
238C2×#11745672C2311yescharacteristic
239C2×#11745672C2311yescharacteristic
240C2×#11745672C2311yescharacteristic
241C2×#11745672C2311yescharacteristic
242C2×#11745672C2311yescharacteristic
243Q16×D59—42no—
244Q16×D59—42no—
245C2×#11745660C2311yescharacteristic
246C2×#11745670C2311yescharacteristic
247C2×#11745670C2311yescharacteristic
248C2×#11745670C2311yescharacteristic
249C2×#11745671C2311yescharacteristic
250C2×#11745671C2311yescharacteristic
251C2×#11745669C2311yescharacteristic
252C2×#11745664C2311yescharacteristic
253C2×#11745659C2311yescharacteristic
254C2×#11745659C2311yescharacteristic
255C22×C59⋊C8C2311yescharacteristic
256C2×C8×D59C2311yescharacteristic
257C2×C8×D59C2311yescharacteristic
258#14273727C2311yescharacteristic
259#14273726—21no—
260#14273720—21no—
261#14273720—21no—
262#14273720—21no—
263#14273720—21no—
264#14273720—21no—
265#14273718—21no—
266#14273718C2311yescharacteristic
267#14273717—21no—
268#14273717—21no—
269#14273716—21no—
270#14273716C2311yescharacteristic
271#14273715—21no—
272#14273715C2311yescharacteristic
273#14273714—21no—
274#14273714—21no—
275#14273714—21no—
276#14273714—21no—
277#14273714C2311yescharacteristic
278#14273714C2311yescharacteristic
279#14273713—21no—
280#14273713—21no—
281#14273713—21no—
282#14273713—21no—
283#14273713—21no—
284#14273713—21no—
285#14273709—21no—
286#14273709—21no—
287#14273709—21no—
288#14273709—21no—
289#14273709—21no—
290#14273708—21no—
291#14273708—21no—
292#14273707—21no—
293#14273707—21no—
294#14273707C2311yescharacteristic
295#14273707C2311yescharacteristic
296#14273706—21no—
297#14273706—21no—
298#14273706—21no—
299#14273706—21no—
300#14273706C2311yescharacteristic
301#14273706C2311yescharacteristic
302#14273706C2311yescharacteristic
303#14273705—21no—
304#14273705—21no—
305#14273705—21no—
306#14273705—21no—
307#14273705—21no—
308#14273705—21no—
309#14273705—21no—
310#14273704—21no—
311#14273704—21no—
312#14273704—21no—
313#14273704—21no—
314#14273704—21no—
315#14273703—21no—
316#14273703C2311yescharacteristic
317#14273703C2311yescharacteristic
318#14273703C2311yescharacteristic
319#14273703C2311yescharacteristic
320#14273703C2311yescharacteristic
321#14273702—21no—
322#14273702C2311yescharacteristic
323#14273701—21no—
324#14273701C2311yescharacteristic
325#14273700—21no—
326#14273700—21no—
327#14273700—21no—
328#14273699—21no—
329#14273699—21no—
330#14273699—21no—
331#14273698—21no—
332#14273698—21no—
333#14273698—21no—
334#14273698C2311yescharacteristic
335#14273698C2311yescharacteristic
336#14273698C2311yescharacteristic
337#14273698C2311yescharacteristic
338#14273695—21no—
339#14273695—21no—
340Q8×Dic59C2311yescharacteristic
341Q8×Dic59C2311yescharacteristic
342Q8×Dic59C2311yescharacteristic
343C4×Dic118—21no—
344C4×Dic118C2311yescharacteristic
345C4×Dic118C2311yescharacteristic
346#14273692—21no—
347#14273692—21no—
348#14273692—21no—
349#14273692C2311yescharacteristic
350C4×D236—21no—
351C4×D236C2311yescharacteristic
352D4×Dic59—21no—
353D4×Dic59D411yescharacteristic
354#14273689—21no—
355#14273689—21no—
356#14273689D411yescharacteristic
357C4×C22⋊D59—21no—
358C4×C22⋊D59—21no—
359C4×C22⋊D59—21no—
360C4×C22⋊D59—21no—
361C4×C22⋊D59—21no—
362C4×C22⋊D59—21no—
363C4×C22⋊D59—21no—
364C4×C22⋊D59—21no—
365C4×C22⋊D59—21no—
366C4×C22⋊D59C2311yescharacteristic
367C4×C22⋊D59C2311yescharacteristic
368(C22⋊D59)⋊C4—21no—
369(C22⋊D59)⋊C4—21no—
370(C22⋊D59)⋊C4D411yescharacteristic
371(C22⋊D59)⋊C4D411yescharacteristic
372#14273686—21no—
373#14273686C2311yescharacteristic
374#14273686C2311yescharacteristic
375#14273685—21no—
376#14273685—21no—
377#14273685—21no—
378C4⋊C4×D59—21no—
379C4⋊C4×D59—21no—
380C4⋊C4×D59—21no—
381C4⋊C4×D59—21no—
382C4⋊C4×D59D411yescharacteristic
383C4⋊C4×D59C2311yescharacteristic
384C4⋊C4×D59C2311yescharacteristic
385C4⋊C4×D59C2311yescharacteristic
386C22⋊C4×D59—21no—
387C22⋊C4×D59—21no—
388C22⋊C4×D59—21no—
389C22⋊C4×D59—21no—
390C22⋊C4×D59—21no—
391C22⋊C4×D59—21no—
392C22⋊C4×D59D411yescharacteristic
393C22⋊C4×D59D411yescharacteristic
394C42×D59—21no—
395C42×D59C2311yescharacteristic
396#14273661C2311yescharacteristic
397#14273661C2311yescharacteristic
398#14273660C2311yescharacteristic
399#14273660C2311yescharacteristic
400#14273660C2311yescharacteristic
401#14273659C2311yescharacteristic
402#14273658C2311yescharacteristic
403C4⋊(C59⋊C8)C2311yescharacteristic
404Dic59⋊C8C2311yescharacteristic
405Dic59⋊C8C2311yescharacteristic
406#14273652C2311yescharacteristic
407#14273652C2311yescharacteristic
408#14273652C2311yescharacteristic
409#14273652C2311yescharacteristic
410#14273652C2311yescharacteristic
411#14273652C2311yescharacteristic
412#14273652C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273651C2311yescharacteristic
415#14273651C2311yescharacteristic
416#14273651C2311yescharacteristic
417#14273651C2311yescharacteristic
418#14273651C2311yescharacteristic
419#14273651C2311yescharacteristic
420#14273651C2311yescharacteristic
421#14273650C2311yescharacteristic
422#14273650C2311yescharacteristic
423#14273650C2311yescharacteristic
424#14273649C2311yescharacteristic
425#14273649C2311yescharacteristic
426#14273649C2311yescharacteristic
427#14273648C2311yescharacteristic
428#14273648C2311yescharacteristic
429#14273648C2311yescharacteristic
430#14273648C2311yescharacteristic
431#14273647C2311yescharacteristic
432C22⋊(C59⋊C8)C2311yescharacteristic
433C22⋊(C59⋊C8)C2311yescharacteristic
434(C2×D59)⋊C8C2311yescharacteristic
435(C2×D59)⋊C8C2311yescharacteristic
436(C2×D59)⋊C8C2311yescharacteristic
437(C2×D59)⋊C8C2311yescharacteristic
438(C2×D59)⋊C8C2311yescharacteristic
439(C2×D59)⋊C8C2311yescharacteristic
440(C2×D59)⋊C8C2311yescharacteristic
441(C2×D59)⋊C8C2311yescharacteristic
442#14273638C2311yescharacteristic
443C8×Dic59C2311yescharacteristic
444C8×Dic59C2311yescharacteristic
445C2×#41×C59C2311yescharacteristic
446C2×#41×C59C2311yescharacteristic
447C2×#41×C59C2311yescharacteristic
448C22×Q8×C59C2311yescharacteristic
449#137×C59—42no—
450#135×C59—42no—
451C2×Q16×C59C2311yescharacteristic
452C2×Q16×C59C2311yescharacteristic
453C2×Q16×C59C2311yescharacteristic
454C2×Q16×C59C2311yescharacteristic
455C2×SD16×C59C2311yescharacteristic
456C2×SD16×C59C2311yescharacteristic
457C2×SD16×C59C2311yescharacteristic
458C2×SD16×C59C2311yescharacteristic
459C2×D8×C59C2311yescharacteristic
460C2×M16×C59C2311yescharacteristic
461C22×C8×C59C2311yescharacteristic
462C4⋊Q8×C59C2311yescharacteristic
463#124×C59—21no—
464#124×C59C2311yescharacteristic
465#123×C59—21no—
466#123×C59—21no—
467C22⋊Q8×C59—21no—
468C22⋊Q8×C59C2311yescharacteristic
469C22⋊Q8×C59C2311yescharacteristic
470C22⋊Q8×C59C2311yescharacteristic
471#121×C59—21no—
472#121×C59—21no—
473#121×C59C2311yescharacteristic
474C4×Q8×C59C2311yescharacteristic
475C4×D4×C59—21no—
476C4×D4×C59C2311yescharacteristic
477C4×D4×C59C2311yescharacteristic
478C2×C4⋊C4×C59—21no—
479#107×C59C2311yescharacteristic
480C4⋊C8×C59C2311yescharacteristic
481#103×C59C2311yescharacteristic
482#103×C59C2311yescharacteristic
483#103×C59C2311yescharacteristic
484#103×C59C2311yescharacteristic
485#102×C59C2311yescharacteristic
486#102×C59C2311yescharacteristic
487C22⋊C8×C59C2311yescharacteristic
488C22⋊C8×C59C2311yescharacteristic
489#97×C59C2311yescharacteristic
490C23×D59—21no—
491C23×D59C2×D411yescharacteristic
492C23×D59C2×D411yescharacteristic
493#41×C59—22no—
494#41×C59—41no—
495#41×C59—41no—
496#41×C59—41no—
497#41×C59—41no—
498#41×C59—41no—
499C2×Q8×C59—21no—
500C2×Q8×C59—22no—
501C2×Q8×C59—41no—
502C2×Q8×C59C2411yescharacteristic
503C2×Q8×C59C2411yescharacteristic
504C2×Q8×C59C2411yescharacteristic
505C2×Q8×C59C2411yescharacteristic
506C2×D4×C59—21no—
507C2×D4×C59—21no—
508C2×D4×C59—21no—
509C2×D4×C59—21no—
510C2×D4×C59C2×D411yescharacteristic
511C2×D4×C59C2411yescharacteristic
512C2×D4×C59C2411yescharacteristic
513C22×C4×C59—21no—
514C22×C4×C59—21no—
515C22×C4×C59—21no—
516C22×C4×C59—21no—
517C22×C4×C59—21no—
518C22×C4×C59C2411yescharacteristic
519C22×C4×C59C2411yescharacteristic
520C2×C22⋊D59—21no—
521C2×C22⋊D59—21no—
522C2×C22⋊D59—21no—
523C2×C22⋊D59—21no—
524C2×C22⋊D59—21no—
525C2×C22⋊D59—21no—
526C2×C22⋊D59—21no—
527C2×C22⋊D59—21no—
528C2×C22⋊D59C2×D411yescharacteristic
529C2×C22⋊D59C2×D411yescharacteristic
530C22×Dic59—21no—
531C22×Dic59—21no—
532C22×Dic59C2×D411yescharacteristic
533C22×Dic59C2×D411yescharacteristic
534#11745689—22no—
535#11745689—41no—
536Q8×D59—22no—
537Q8×D59—22no—
538Q8×D59—22no—
539Q8×D59—22no—
540Q8×D59—41no—
541Q8×D59—41no—
542Q8×D59—41no—
543Q8×D59—41no—
544Q8×D59—44no—
545Q8×D59—41no—
546Q8×D59—41no—
547Q8×D59—41no—
548Q8×D59—41no—
549Q8×D59—44no—
550#11745687—22no—
551#11745687—41no—
552#11745687—44no—
553D4×D59—41no—
554D4×D59—41no—
555D4×D59—44no—
556D4×D59—42no—
557D4×D59—44no—
558#11745685—22no—
559#11745685—41no—
560#11745685—44no—
561#11745685—44no—
562C2×D236—21no—
563C2×D236—21no—
564C2×D236C2×D411yescharacteristic
565C2×D236C2411yescharacteristic
566C2×C4×D59—21no—
567C2×C4×D59—21no—
568C2×C4×D59—21no—
569C2×C4×D59—21no—
570C2×C4×D59—21no—
571C2×C4×D59—21no—
572C2×C4×D59—21no—
573C2×C4×D59—21no—
574C2×C4×D59—21no—
575C2×C4×D59—21no—
576C2×C4×D59—21no—
577C2×C4×D59—41no—
578C2×C4×D59—41no—
579C2×C4×D59—41no—
580C2×C4×D59—41no—
581C2×C4×D59—44no—
582C2×C4×D59—44no—
583C2×C4×D59C2×D411yescharacteristic
584C2×C4×D59C2×D411yescharacteristic
585C2×C4×D59C2×D411yescharacteristic
586C2×C4×D59C2×D411yescharacteristic
587C2×C4×D59C2×D411yescharacteristic
588C2×C4×D59C2×D411yescharacteristic
589C2×C4×D59C2411yescharacteristic
590C2×C4×D59C2411yescharacteristic
591C2×C4×D59C2411yescharacteristic
592C2×Dic118—21no—
593C2×Dic118—22no—
594C2×Dic118—21no—
595C2×Dic118—21no—
596C2×Dic118—21no—
597C2×Dic118—21no—
598C2×Dic118—21no—
599C2×Dic118—21no—
600C2×Dic118—21no—
601C2×Dic118—41no—
602C2×Dic118—44no—
603C2×Dic118C2411yescharacteristic
604C2×Dic118C2411yescharacteristic
605C2×Dic118C2411yescharacteristic
606Q16×C59—22no—
607Q16×C59—22no—
608Q16×C59—41no—
609Q16×C59—41no—
610SD16×C59—22no—
611SD16×C59—41no—
612SD16×C59—41no—
613SD16×C59—41no—
614D8×C59—41no—
615M16×C59—41no—
616C2×C8×C59—41no—
617C2×C8×C59C2411yescharacteristic
618C2×C8×C59C2411yescharacteristic
619C2×C8×C59C2411yescharacteristic
620C2×C8×C59C2411yescharacteristic
621C4⋊C4×C59—21no—
622C4⋊C4×C59—21no—
623C4⋊C4×C59—21no—
624C4⋊C4×C59—21no—
625C4⋊C4×C59—21no—
626C4⋊C4×C59—21no—
627C4⋊C4×C59C2×D411yescharacteristic
628C4⋊C4×C59C2411yescharacteristic
629C4⋊C4×C59C2411yescharacteristic
630C22⋊C4×C59—21no—
631C22⋊C4×C59—21no—
632C22⋊C4×C59—21no—
633C22⋊C4×C59—21no—
634C22⋊C4×C59—21no—
635C22⋊C4×C59—21no—
636C22⋊C4×C59—21no—
637C22⋊C4×C59C2×D411yescharacteristic
638C22⋊C4×C59C2×D411yescharacteristic
639C42×C59—21no—
640C42×C59C2411yescharacteristic
641C22⋊Dic59—21no—
642C22⋊Dic59—21no—
643C22⋊Dic59—21no—
644C22⋊Dic59—21no—
645C22⋊Dic59—21no—
646C22⋊Dic59—21no—
647C22⋊Dic59—21no—
648C22⋊Dic59—21no—
649C22⋊Dic59—21no—
650C22⋊Dic59—21no—
651C22⋊Dic59—21no—
652C22⋊Dic59—21no—
653C22⋊Dic59—21no—
654C22⋊Dic59C2×D411yescharacteristic
655C22⋊Dic59C2×D411yescharacteristic
656#11745672—22no—
657#11745672—22no—
658#11745672—22no—
659#11745672—41no—
660#11745672—41no—
661#11745672—41no—
662#11745671—41no—
663#11745671—41no—
664#11745670—22no—
665#11745670—41no—
666#11745670—41no—
667#11745669—41no—
668(C2×D59)⋊C4—21no—
669(C2×D59)⋊C4—21no—
670(C2×D59)⋊C4—21no—
671(C2×D59)⋊C4—21no—
672(C2×D59)⋊C4—21no—
673(C2×D59)⋊C4—21no—
674(C2×D59)⋊C4—21no—
675(C2×D59)⋊C4—21no—
676(C2×D59)⋊C4—21no—
677(C2×D59)⋊C4—21no—
678(C2×D59)⋊C4—21no—
679(C2×D59)⋊C4—21no—
680(C2×D59)⋊C4—21no—
681(C2×D59)⋊C4C2×D411yescharacteristic
682(C2×D59)⋊C4C2×D411yescharacteristic
683(C2×D59)⋊C4C2×D411yescharacteristic
684(C2×D59)⋊C4C2×D411yescharacteristic
685C4⋊Dic59—21no—
686C4⋊Dic59—21no—
687C4⋊Dic59—21no—
688C4⋊Dic59—21no—
689C4⋊Dic59—21no—
690C4⋊Dic59—21no—
691C4⋊Dic59—21no—
692C4⋊Dic59C2×D411yescharacteristic
693C4⋊Dic59C2411yescharacteristic
694C4⋊Dic59C2411yescharacteristic
695C4⋊Dic59C2411yescharacteristic
696C4⋊Dic59C2411yescharacteristic
697Dic59⋊C4—21no—
698Dic59⋊C4—21no—
699Dic59⋊C4—21no—
700Dic59⋊C4—21no—
701Dic59⋊C4—21no—
702Dic59⋊C4—21no—
703Dic59⋊C4—21no—
704Dic59⋊C4—21no—
705Dic59⋊C4—21no—
706Dic59⋊C4—21no—
707Dic59⋊C4—21no—
708Dic59⋊C4—21no—
709Dic59⋊C4—21no—
710Dic59⋊C4—21no—
711Dic59⋊C4—21no—
712Dic59⋊C4C2×D411yescharacteristic
713Dic59⋊C4C2×D411yescharacteristic
714C4×Dic59—21no—
715C4×Dic59—21no—
716C4×Dic59—21no—
717C4×Dic59—21no—
718C4×Dic59—21no—
719C4×Dic59—21no—
720C4×Dic59—21no—
721C4×Dic59—21no—
722C4×Dic59C2×D411yescharacteristic
723C4×Dic59C2×D411yescharacteristic
724C4×Dic59C2411yescharacteristic
725#11745664—41no—
726C2×C59⋊C8—41no—
727C2×C59⋊C8C2411yescharacteristic
728C2×C59⋊C8C2411yescharacteristic
729C2×C59⋊C8C2411yescharacteristic
730C2×C59⋊C8C2411yescharacteristic
731Dic236—22no—
732Dic236—41no—
733#11745660—41no—
734#11745659—41no—
735#11745659—41no—
736C8×D59—41no—
737C8×D59—41no—
738C23×C59—21no—
739C23×C59—21no—
740C23×C59C22×D411yescharacteristic
741C23×C59C22×D411yescharacteristic
742C22×D59—22no—
743C22×D59—22no—
744C22×D59—22no—
745C22×D59—21no—
746C22×D59—41no—
747C22×D59—41no—
748C22×D59—41no—
749C22×D59—42no—
750C22×D59—42no—
751C22×D59—42no—
752C22×D59C22×D411yescharacteristic
753C22×D59C22×D411yescharacteristic
754C22×D59C22×D411yescharacteristic
755Q8×C59—21no—
756Q8×C59—21no—
757Q8×C59—21no—
758Q8×C59—21no—
759Q8×C59—21no—
760Q8×C59—21no—
761Q8×C59—21no—
762Q8×C59—42no—
763Q8×C59H(5,𝔽2)12yes—
764D4×C59—21no—
765D4×C59—21no—
766D4×C59—21no—
767D4×C59—21no—
768D4×C59—41no—
769D4×C59—42no—
770D4×C59—42no—
771D4×C59—81no—
772D4×C59—81no—
773C2×C4×C59—21no—
774C2×C4×C59—21no—
775C2×C4×C59—21no—
776C2×C4×C59—21no—
777C2×C4×C59—21no—
778C2×C4×C59—21no—
779C2×C4×C59—21no—
780C2×C4×C59—21no—
781C2×C4×C59—21no—
782C2×C4×C59—21no—
783C2×C4×C59—42no—
784C2×C4×C59—42no—
785C2×C4×C59—42no—
786C2×C4×C59—81no—
787C2×C4×C59—81no—
788C2×C4×C59C22×D411yescharacteristic
789C2×C4×C59C22×D411yescharacteristic
790C2×C4×C59C22×D411yescharacteristic
791C2×C4×C59C22×D411yescharacteristic
792C2×C4×C59C2511yescharacteristic
793C22⋊D59—22no—
794C22⋊D59—41no—
795C22⋊D59—42no—
796C22⋊D59—42no—
797C22⋊D59—42no—
798C22⋊D59—42no—
799C22⋊D59—42no—
800C22⋊D59—42no—
801C22⋊D59—42no—
802C22⋊D59—42no—
803C2×Dic59—21no—
804C2×Dic59—21no—
805C2×Dic59—21no—
806C2×Dic59—21no—
807C2×Dic59—21no—
808C2×Dic59—21no—
809C2×Dic59—21no—
810C2×Dic59—41no—
811C2×Dic59—41no—
812C2×Dic59—42no—
813C2×Dic59—42no—
814C2×Dic59C22×D411yescharacteristic
815C2×Dic59C22×D411yescharacteristic
816C2×Dic59C22×D411yescharacteristic
817C2×Dic59C22×D411yescharacteristic
818C2×Dic59C22×D411yescharacteristic
819D236—22no—
820D236—21no—
821D236—21no—
822D236—42no—
823D236—42no—
824C4×D59—24no—
825C4×D59—22no—
826C4×D59—21no—
827C4×D59—21no—
828C4×D59—21no—
829C4×D59—21no—
830C4×D59—21no—
831C4×D59—21no—
832C4×D59—41no—
833C4×D59—41no—
834C4×D59—41no—
835C4×D59—41no—
836C4×D59—41no—
837C4×D59—42no—
838C4×D59—42no—
839C4×D59—42no—
840C4×D59—42no—
841C4×D59—42no—
842C4×D59—42no—
843C4×D59—42no—
844C4×D59—42no—
845C4×D59—81no—
846C4×D59—81no—
847Dic118—24no—
848Dic118—21no—
849Dic118—21no—
850Dic118—21no—
851Dic118—21no—
852Dic118—21no—
853Dic118—42no—
854Dic118—42no—
855Dic118—42no—
856Dic118—42no—
857Dic118—42no—
858Dic118—81no—
859Dic118—81no—
860Dic118H(5,𝔽2)12yes—
861C8×C59—21no—
862C8×C59—21no—
863C8×C59—21no—
864C8×C59—21no—
865C59⋊C8—21no—
866C59⋊C8—21no—
867C59⋊C8—21no—
868C59⋊C8—21no—
869#61603—591nomaximal, Sylow
870C22×C59—21no—
871C22×C59—21no—
872C22×C59—21no—
873C22×C59—21no—
874C22×C59—21no—
875C22×C59—21no—
876C22×C59—41no—
877C22×C59—41no—
878C22×C59—41no—
879C22×C59—41no—
880C22×C59—41no—
881C22×C59—41no—
882C22×C59C23×D411yescharacteristic
883C2×D59—21no—
884C2×D59—21no—
885C2×D59—21no—
886C2×D59—21no—
887C2×D59—21no—
888C2×D59—21no—
889C2×D59—21no—
890C2×D59—44no—
891C2×D59—41no—
892C2×D59—41no—
893C2×D59—41no—
894C2×D59—82no—
895C2×D59—84no—
896C2×D59#57512yes—
897C2×D59#57812yes—
898C4×C59—22no—
899C4×C59—21no—
900C4×C59—21no—
901C4×C59—21no—
902C4×C59—21no—
903C4×C59—41no—
904C4×C59—41no—
905C4×C59—41no—
906C4×C59—41no—
907C4×C59—41no—
908C4×C59C2×H(5,𝔽2)11yescharacteristic
909C4×C59C2×H(5,𝔽2)11yescharacteristic
910Dic59—21no—
911Dic59—22no—
912Dic59—21no—
913Dic59—21no—
914Dic59—21no—
915Dic59—21no—
916Dic59—41no—
917Dic59—41no—
918Dic59—41no—
919Dic59—41no—
920Dic59—41no—
921Dic59—41no—
922#3520—591no—
923C2×#548—591no—
924#3327—591no—
925#3327—591no—
926#3313—591no—
927#3313—591no—
928#3308—591no—
929#3308—591no—
930#3300—591no—
931#3300—591no—
932#3285—591no—
933#3285—591no—
934#3277—591no—
935#3277—591no—
936#3270—591no—
937#3270—591no—
938#3269—591no—
939#3269D5911yescharacteristic, complemented
940#3215—591no—
941#3211—591no—
942#3196—591no—
943#3193—591no—
944#3189—591no—
945#3188—591no—
946#3117—591no—
947#3104—591no—
948#3007—591no—
949#3004—591no—
950#3002—591no—
951C2×#451—591no—
952#2974—591no—
953C2×C59—41no—
954C2×C59—41no—
955C2×C59—81no—
956C2×C59—81no—
957C2×C59#348411yescharacteristic
958C2×C59C2×#57511yescharacteristic
959C2×C59C2×#57811yescharacteristic
960D59—22no—
961D59—22no—
962D59—41no—
963D59—81no—
964C22×#41—591no—
965C23×Q8—591no—
966C2×#137—591no—
967C2×#137—591no—
968C2×#137—591no—
969C2×#137C2×D5911yescharacteristic, complemented
970C2×#135—591no—
971C2×#135C2×D5911yescharacteristic, complemented
972C22×Q16—591no—
973C22×Q16—591no—
974#556—591no—
975#554—1181no—
976#552—591no—
977#552—591no—
978#551—1181no—
979#551—1181no—
980D4×Q8—591no—
981#548—591no—
982#548—591no—
983#548—591no—
984#548—591no—
985#548—591no—
986#548—591no—
987#548—591no—
988#548—591no—
989#548—591no—
990#548—1181no—
991#548—1181no—
992#548—1181no—
993#548—1181no—
994#548C2×D5911yescharacteristic
995#547—591no—
996#547C2×D5911yescharacteristic, complemented
997#546—1181no—
998#542—1181no—
999#539—1181no—
1000#539—1181no—
1001#533—591no—
1002#529—591no—
1003C2×#124—591no—
1004C2×#124—1181no—
1005#525—591no—
1006#525—591no—
1007C2×C22⋊Q8—591no—
1008C2×C22⋊Q8—591no—
1009C2×C22⋊Q8—591no—
1010C2×C22⋊Q8—1181no—
1011C2×#121—591no—
1012C2×#121—1181no—
1013#520—1181no—
1014C2×C4×Q8—591no—
1015C2×C4×D4—591no—
1016C2×C4×D4—1181no—
1017#497—591no—
1018#497C2×D5911yescharacteristic, complemented
1019#495—591no—
1020#495—591no—
1021#489—591no—
1022#489—591no—
1023#488—591no—
1024#488—591no—
1025#485—591no—
1026#485—591no—
1027#484—591no—
1028#484—591no—
1029#484—591no—
1030#484—591no—
1031#484—591no—
1032#482—591no—
1033#482—591no—
1034#481—591no—
1035#480—591no—
1036#480—591no—
1037#479—591no—
1038#479—591no—
1039#477—591no—
1040#477—591no—
1041#470—591no—
1042#470—591no—
1043#468—591no—
1044#468—591no—
1045#468—591no—
1046#468—591no—
1047#468—591no—
1048#468C2×D5911yescharacteristic, complemented
1049#467—591no—
1050#467—591no—
1051#467—591no—
1052#467C2×D5911yescharacteristic, complemented
1053#466—591no—
1054#466—591no—
1055#465—591no—
1056#465—591no—
1057#464—591no—
1058#464—591no—
1059#464—591no—
1060#464—591no—
1061#464—591no—
1062#464—591no—
1063#464—591no—
1064#464—591no—
1065#463—591no—
1066#463C2×D5911yescharacteristic, complemented
1067#462—591no—
1068#462C2×D5911yescharacteristic, complemented
1069#452—591no—
1070#452—591no—
1071#452—591no—
1072#452—591no—
1073#452—591no—
1074#452—591no—
1075#452C2×D5911yescharacteristic, complemented
1076#452C2×D5911yescharacteristic, complemented
1077#451—591no—
1078#451—591no—
1079#451—591no—
1080#451—591no—
1081#451—591no—
1082#451—591no—
1083#451—591no—
1084#451—591no—
1085#451—591no—
1086#451—591no—
1087#451—591no—
1088#451—591no—
1089#451—591no—
1090#451C2×D5911yescharacteristic, complemented
1091#450—591no—
1092#450—591no—
1093#450—591no—
1094#449—591no—
1095#449—591no—
1096#449—591no—
1097#449C2×D5911yescharacteristic, complemented
1098#448—591no—
1099#448—591no—
1100#448—591no—
1101#448—591no—
1102#448—591no—
1103#448—591no—
1104#447—591no—
1105#441—591no—
1106#441—591no—
1107#440—591no—
1108#440C2×D5911yescharacteristic, complemented
1109C4×Q16—591no—
1110C4×Q16—591no—
1111C4×Q16—591no—
1112C4×Q16—591no—
1113#436—591no—
1114#436—591no—
1115#435—591no—
1116#435—591no—
1117#435—591no—
1118#435C2×D5911yescharacteristic, complemented
1119C8×D4—591no—
1120C8×D4—591no—
1121#432—591no—
1122#431—591no—
1123#419—591no—
1124#419—591no—
1125#417—591no—
1126#417—591no—
1127#416—591no—
1128#416—591no—
1129C2×#103—591no—
1130C2×#103—591no—
1131#407—591no—
1132#407—591no—
1133C2×C22⋊C8—591no—
1134C2×C22⋊C8—591no—
1135C59#6160311yescharacteristic, complemented, Sylow
1136C2×#41—591no—
1137C2×#41—591no—
1138C2×#41—591no—
1139C2×#41—1181no—
1140C2×#41—1181no—
1141C2×#41—1181no—
1142C2×#41—2362no—
1143C2×#41—2362no—
1144C2×#41C22×D5911yescharacteristic
1145C2×#41C22×D5911yescharacteristic
1146C2×#41C22×D5911yescharacteristic
1147C22×Q8—591no—
1148C22×Q8—591no—
1149C22×Q8—591no—
1150C22×Q8—591no—
1151C22×Q8—591no—
1152C22×Q8—591no—
1153C22×Q8—591no—
1154C22×Q8—1181no—
1155C22×Q8—1181no—
1156C22×Q8—1181no—
1157C22×Q8—2362no—
1158C22×Q8—2362no—
1159C22×Q8C22×D5911yescharacteristic
1160C22×D4—591no—
1161C22×D4—591no—
1162C22×D4—1181no—
1163C22×D4—1181no—
1164C23×C4—591no—
1165C23×C4—591no—
1166C23×C4—1181no—
1167C23×C4—1181no—
1168#137—42no—
1169#137—2362no—
1170#137—2362no—
1171#137—2362no—
1172#135—42no—
1173#135—2362no—
1174C2×Q16—591no—
1175C2×Q16—591no—
1176C2×Q16—591no—
1177C2×Q16—591no—
1178C2×Q16—591no—
1179C2×Q16—591no—
1180C2×Q16—591no—
1181C2×Q16—591no—
1182C2×Q16—2362no—
1183C2×Q16—2362no—
1184C2×Q16C22×D5911yescharacteristic
1185C2×Q16C22×D5911yescharacteristic
1186C2×Q16C22×D5911yescharacteristic
1187C2×Q16C22×D5911yescharacteristic
1188C2×SD16—591no—
1189C2×SD16—591no—
1190C2×SD16—591no—
1191C2×SD16—591no—
1192C2×SD16—591no—
1193C2×SD16—591no—
1194C2×SD16C22×D5911yescharacteristic
1195C2×SD16C22×D5911yescharacteristic
1196C2×SD16C22×D5911yescharacteristic
1197C2×SD16C22×D5911yescharacteristic
1198C2×D8—591no—
1199C2×D8C22×D5911yescharacteristic
1200C2×M16—591no—
1201C2×M16—591no—
1202C2×M16—591no—
1203C2×M16C22×D5911yescharacteristic
1204C22×C8—591no—
1205C22×C8—591no—
1206C22×C8—591no—
1207C22×C8C22×D5911yescharacteristic
1208C4⋊Q8—591no—
1209C4⋊Q8—1181no—
1210C4⋊Q8C22×D5911yescharacteristic
1211#126—1181no—
1212#126—1181no—
1213#126—1181no—
1214#126—1181no—
1215#126—1181no—
1216#125—591no—
1217#125—1181no—
1218#125—1181no—
1219#125—1181no—
1220#124—21no—
1221#124—591no—
1222#124—591no—
1223#124—591no—
1224#124—591no—
1225#124—1181no—
1226#124—1181no—
1227#124—1181no—
1228#124—1181no—
1229#124—1181no—
1230#124—1181no—
1231#124—1181no—
1232#124—1181no—
1233#124—1181no—
1234#124—1181no—
1235#124—1181no—
1236#124—1181no—
1237#124C22×D5911yescharacteristic
1238#123—21no—
1239#123—21no—
1240#123—1181no—
1241#123—1181no—
1242#123—1181no—
1243#123—1181no—
1244#123—1181no—
1245#123—1181no—
1246#123—1181no—
1247C22⋊Q8—21no—
1248C22⋊Q8—591no—
1249C22⋊Q8—591no—
1250C22⋊Q8—591no—
1251C22⋊Q8—591no—
1252C22⋊Q8—591no—
1253C22⋊Q8—591no—
1254C22⋊Q8—591no—
1255C22⋊Q8—591no—
1256C22⋊Q8—591no—
1257C22⋊Q8—591no—
1258C22⋊Q8—1181no—
1259C22⋊Q8—1181no—
1260C22⋊Q8—1181no—
1261C22⋊Q8—1181no—
1262C22⋊Q8—1181no—
1263C22⋊Q8—1181no—
1264C22⋊Q8—1181no—
1265C22⋊Q8—1181no—
1266C22⋊Q8—1181no—
1267C22⋊Q8—1181no—
1268C22⋊Q8—1181no—
1269C22⋊Q8—1181no—
1270C22⋊Q8—1181no—
1271C22⋊Q8—1181no—
1272C22⋊Q8—1181no—
1273C22⋊Q8—1181no—
1274C22⋊Q8—1181no—
1275C22⋊Q8—1181no—
1276C22⋊Q8—1181no—
1277C22⋊Q8C22×D5911yescharacteristic
1278C22⋊Q8C22×D5911yescharacteristic
1279C22⋊Q8C22×D5911yescharacteristic
1280#121—21no—
1281#121—21no—
1282#121—591no—
1283#121—591no—
1284#121—591no—
1285#121—591no—
1286#121—591no—
1287#121—591no—
1288#121—1181no—
1289#121—1181no—
1290#121—1181no—
1291#121—1181no—
1292#121—1181no—
1293#121—1181no—
1294#121—1181no—
1295#121—1181no—
1296#121—1181no—
1297#121—1181no—
1298#121—1181no—
1299#121C22×D5911yescharacteristic
1300#120—1181no—
1301#120—1181no—
1302C4×Q8—591no—
1303C4×Q8—591no—
1304C4×Q8—591no—
1305C4×Q8—591no—
1306C4×Q8—591no—
1307C4×Q8—591no—
1308C4×Q8—1181no—
1309C4×Q8—1181no—
1310C4×Q8—1181no—
1311C4×Q8—1181no—
1312C4×Q8C22×D5911yescharacteristic
1313C4×D4—21no—
1314C4×D4—591no—
1315C4×D4—591no—
1316C4×D4—591no—
1317C4×D4—591no—
1318C4×D4—591no—
1319C4×D4—591no—
1320C4×D4—591no—
1321C4×D4—1181no—
1322C4×D4—1181no—
1323C4×D4—1181no—
1324C4×D4—1181no—
1325C4×D4—1181no—
1326C4×D4—1181no—
1327C4×D4—1181no—
1328C4×D4—1181no—
1329C4×D4—1181no—
1330C4×D4—1181no—
1331C4×D4—1181no—
1332C4×D4—1181no—
1333C4×D4—1181no—
1334C4×D4—1181no—
1335C4×D4—1181no—
1336C4×D4C22×D5911yescharacteristic
1337C4×D4C22×D5911yescharacteristic
1338#117—591no—
1339#117—591no—
1340#117—1181no—
1341#117—1181no—
1342#117—1181no—
1343#117—1181no—
1344C2×C4⋊C4—21no—
1345C2×C4⋊C4—591no—
1346C2×C4⋊C4—591no—
1347C2×C4⋊C4—591no—
1348C2×C4⋊C4—591no—
1349C2×C4⋊C4—1181no—
1350C2×C4⋊C4—1181no—
1351C2×C4⋊C4—1181no—
1352C2×C4⋊C4—1181no—
1353C2×C22⋊C4—591no—
1354C2×C22⋊C4—591no—
1355C2×C22⋊C4—1181no—
1356C2×C22⋊C4—1181no—
1357C2×C22⋊C4—1181no—
1358C2×C22⋊C4—1181no—
1359C2×C22⋊C4—1181no—
1360C2×C22⋊C4—1181no—
1361C2×C42—591no—
1362C2×C42—1181no—
1363#107—591no—
1364#107—591no—
1365#107—591no—
1366#107—591no—
1367#107—591no—
1368#107C22×D5911yescharacteristic
1369#106—591no—
1370#106—591no—
1371C4⋊C8—591no—
1372C4⋊C8—591no—
1373C4⋊C8—591no—
1374C4⋊C8C22×D5911yescharacteristic
1375#103—591no—
1376#103—591no—
1377#103—591no—
1378#103—591no—
1379#103—591no—
1380#103—591no—
1381#103—591no—
1382#103—591no—
1383#103—591no—
1384#103—591no—
1385#103—591no—
1386#103—591no—
1387#103—591no—
1388#103—591no—
1389#103—591no—
1390#103—591no—
1391#103—591no—
1392#103—591no—
1393#103C22×D5911yescharacteristic
1394#103C22×D5911yescharacteristic
1395#103C22×D5911yescharacteristic
1396#103C22×D5911yescharacteristic
1397#102—591no—
1398#102—591no—
1399#102—591no—
1400#102—591no—
1401#102—591no—
1402#102—591no—
1403#102—591no—
1404#102—591no—
1405#102C22×D5911yescharacteristic
1406#102C22×D5911yescharacteristic
1407C22⋊C8—591no—
1408C22⋊C8—591no—
1409C22⋊C8—591no—
1410C22⋊C8—591no—
1411C22⋊C8—591no—
1412C22⋊C8—591no—
1413C22⋊C8—591no—
1414C22⋊C8—591no—
1415C22⋊C8—591no—
1416C22⋊C8—591no—
1417C22⋊C8C22×D5911yescharacteristic
1418C22⋊C8C22×D5911yescharacteristic
1419#97—591no—
1420#97C22×D5911yescharacteristic
1421C4×C8—591no—
1422C4×C8—591no—
1423C24—591no—
1424C24—591no—
1425C24—1181no—
1426#41—22no—
1427#41—41no—
1428#41—41no—
1429#41—41no—
1430#41—41no—
1431#41—41no—
1432#41—1182no—
1433#41—1182no—
1434#41—1182no—
1435#41—2361no—
1436#41—2364no—
1437#41—2364no—
1438#41—2361no—
1439#41—2361no—
1440#41—2364no—
1441C2×Q8—21no—
1442C2×Q8—22no—
1443C2×Q8—41no—
1444C2×Q8—591no—
1445C2×Q8—591no—
1446C2×Q8—591no—
1447C2×Q8—1181no—
1448C2×Q8—1181no—
1449C2×Q8—1181no—
1450C2×Q8—1181no—
1451C2×Q8—1181no—
1452C2×Q8—1181no—
1453C2×Q8—1182no—
1454C2×Q8—1182no—
1455C2×Q8—1182no—
1456C2×Q8—1181no—
1457C2×Q8—1181no—
1458C2×Q8—1182no—
1459C2×Q8—1182no—
1460C2×Q8—2361no—
1461C2×Q8—2364no—
1462C2×Q8—2361no—
1463C2×Q8—2361no—
1464C2×Q8—2361no—
1465C2×Q8—2361no—
1466C2×Q8—2361no—
1467C2×Q8—2361no—
1468C2×Q8—2361no—
1469C2×Q8—2361no—
1470C2×Q8—2364no—
1471C2×Q8—2364no—
1472C2×Q8C23×D5911yescharacteristic
1473C2×Q8C23×D5911yescharacteristic
1474C2×Q8C23×D5911yescharacteristic
1475C2×Q8C23×D5911yescharacteristic
1476C2×D4—21no—
1477C2×D4—21no—
1478C2×D4—21no—
1479C2×D4—21no—
1480C2×D4—591no—
1481C2×D4—591no—
1482C2×D4—591no—
1483C2×D4—591no—
1484C2×D4—1181no—
1485C2×D4—1181no—
1486C2×D4—1181no—
1487C2×D4—1181no—
1488C2×D4—1181no—
1489C2×D4—1181no—
1490C2×D4—1181no—
1491C2×D4—1181no—
1492C2×D4—1181no—
1493C2×D4—1181no—
1494C2×D4—2361no—
1495C2×D4—2361no—
1496C2×D4—2364no—
1497C2×D4—2362no—
1498C2×D4—2364no—
1499C2×D4D4×D5911yescharacteristic
1500C2×D4C23×D5911yescharacteristic
1501C2×D4C23×D5911yescharacteristic
1502C22×C4—21no—
1503C22×C4—21no—
1504C22×C4—21no—
1505C22×C4—21no—
1506C22×C4—21no—
1507C22×C4—591no—
1508C22×C4—591no—
1509C22×C4—591no—
1510C22×C4—591no—
1511C22×C4—591no—
1512C22×C4—591no—
1513C22×C4—591no—
1514C22×C4—591no—
1515C22×C4—591no—
1516C22×C4—591no—
1517C22×C4—591no—
1518C22×C4—1181no—
1519C22×C4—1181no—
1520C22×C4—1181no—
1521C22×C4—1181no—
1522C22×C4—1181no—
1523C22×C4—1181no—
1524C22×C4—1181no—
1525C22×C4—1181no—
1526C22×C4—1181no—
1527C22×C4—1181no—
1528C22×C4—1181no—
1529C22×C4—1181no—
1530C22×C4—1181no—
1531C22×C4—2361no—
1532C22×C4—2361no—
1533C22×C4—2361no—
1534C22×C4—2361no—
1535C22×C4—2364no—
1536C22×C4—2364no—
1537C22×C4C23×D5911yescharacteristic
1538C22×C4C23×D5911yescharacteristic
1539Q16—22no—
1540Q16—22no—
1541Q16—41no—
1542Q16—41no—
1543Q16—1182no—
1544Q16—1182no—
1545Q16—1182no—
1546Q16—1182no—
1547Q16—2361no—
1548Q16—2361no—
1549Q16—2361no—
1550Q16—2361no—
1551SD16—22no—
1552SD16—41no—
1553SD16—41no—
1554SD16—41no—
1555SD16—1182no—
1556SD16—2361no—
1557SD16—2361no—
1558SD16—2361no—
1559SD16—2361no—
1560SD16—2361no—
1561D8—41no—
1562D8—2361no—
1563M16—41no—
1564M16—2361no—
1565M16—2361no—
1566M16—2361no—
1567C2×C8—41no—
1568C2×C8—591no—
1569C2×C8—591no—
1570C2×C8—591no—
1571C2×C8—591no—
1572C2×C8—2361no—
1573C2×C8—2361no—
1574C2×C8—2361no—
1575C2×C8C23×D5911yescharacteristic
1576C2×C8C23×D5911yescharacteristic
1577C2×C8C23×D5911yescharacteristic
1578C2×C8C23×D5911yescharacteristic
1579C4⋊C4—21no—
1580C4⋊C4—21no—
1581C4⋊C4—21no—
1582C4⋊C4—21no—
1583C4⋊C4—21no—
1584C4⋊C4—21no—
1585C4⋊C4—591no—
1586C4⋊C4—591no—
1587C4⋊C4—591no—
1588C4⋊C4—591no—
1589C4⋊C4—591no—
1590C4⋊C4—591no—
1591C4⋊C4—591no—
1592C4⋊C4—1181no—
1593C4⋊C4—1181no—
1594C4⋊C4—1181no—
1595C4⋊C4—1181no—
1596C4⋊C4—1181no—
1597C4⋊C4—1181no—
1598C4⋊C4—1181no—
1599C4⋊C4—1181no—
1600C4⋊C4—1181no—
1601C4⋊C4—1181no—
1602C4⋊C4—1181no—
1603C4⋊C4—1181no—
1604C4⋊C4—1181no—
1605C4⋊C4—1181no—
1606C4⋊C4—1181no—
1607C4⋊C4—1181no—
1608C4⋊C4—1181no—
1609C4⋊C4—1181no—
1610C4⋊C4—1181no—
1611C4⋊C4—1181no—
1612C4⋊C4—1181no—
1613C4⋊C4—1181no—
1614C4⋊C4D4×D5911yescharacteristic
1615C4⋊C4C23×D5911yescharacteristic
1616C4⋊C4C23×D5911yescharacteristic
1617C22⋊C4—21no—
1618C22⋊C4—21no—
1619C22⋊C4—21no—
1620C22⋊C4—21no—
1621C22⋊C4—21no—
1622C22⋊C4—21no—
1623C22⋊C4—21no—
1624C22⋊C4—591no—
1625C22⋊C4—591no—
1626C22⋊C4—591no—
1627C22⋊C4—591no—
1628C22⋊C4—591no—
1629C22⋊C4—591no—
1630C22⋊C4—1181no—
1631C22⋊C4—1181no—
1632C22⋊C4—1181no—
1633C22⋊C4—1181no—
1634C22⋊C4—1181no—
1635C22⋊C4—1181no—
1636C22⋊C4—1181no—
1637C22⋊C4—1181no—
1638C22⋊C4—1181no—
1639C22⋊C4—1181no—
1640C22⋊C4—1181no—
1641C22⋊C4—1181no—
1642C22⋊C4—1181no—
1643C22⋊C4—1181no—
1644C22⋊C4—1181no—
1645C22⋊C4—1181no—
1646C22⋊C4—1181no—
1647C22⋊C4—1181no—
1648C22⋊C4—1181no—
1649C22⋊C4—1181no—
1650C22⋊C4—1181no—
1651C22⋊C4—1181no—
1652C22⋊C4—1181no—
1653C22⋊C4—1181no—
1654C22⋊C4—1181no—
1655C22⋊C4—1181no—
1656C22⋊C4D4×D5911yescharacteristic
1657C22⋊C4D4×D5911yescharacteristic
1658C42—21no—
1659C42—591no—
1660C42—591no—
1661C42—591no—
1662C42—1181no—
1663C42—1181no—
1664C42—1181no—
1665C42—1181no—
1666C42—1181no—
1667C42—1181no—
1668C42—1181no—
1669C42—1181no—
1670C42C23×D5911yescharacteristic
1671C23—21no—
1672C23—21no—
1673C23—591no—
1674C23—591no—
1675C23—591no—
1676C23—1182no—
1677C23—1182no—
1678C23—1182no—
1679C23—1181no—
1680C23—2361no—
1681C23—2361no—
1682C23—2361no—
1683C23—2362no—
1684C23—2362no—
1685C23—2362no—
1686C23C2×D4×D5911yescharacteristic
1687C23C2×D4×D5911yescharacteristic
1688Q8—21no—
1689Q8—21no—
1690Q8—21no—
1691Q8—21no—
1692Q8—21no—
1693Q8—21no—
1694Q8—21no—
1695Q8—42no—
1696Q8—592no—
1697Q8—1184no—
1698Q8—1181no—
1699Q8—1181no—
1700Q8—1181no—
1701Q8—1181no—
1702Q8—1181no—
1703Q8—4721no—
1704Q8—4721no—
1705Q8—2362no—
1706Q8—2362no—
1707Q8—2362no—
1708Q8—2362no—
1709Q8—2362no—
1710Q8#1427377212yes—
1711D4—21no—
1712D4—21no—
1713D4—21no—
1714D4—21no—
1715D4—41no—
1716D4—42no—
1717D4—42no—
1718D4—81no—
1719D4—81no—
1720D4—1182no—
1721D4—1182no—
1722D4—1181no—
1723D4—1181no—
1724D4—2362no—
1725D4—2362no—
1726D4—2361no—
1727D4—2362no—
1728D4—2362no—
1729D4—2362no—
1730D4—2362no—
1731D4—2362no—
1732D4—2362no—
1733D4—2362no—
1734D4—2362no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—42no—
1746C2×C4—42no—
1747C2×C4—42no—
1748C2×C4—81no—
1749C2×C4—81no—
1750C2×C4—591no—
1751C2×C4—591no—
1752C2×C4—591no—
1753C2×C4—591no—
1754C2×C4—591no—
1755C2×C4—1182no—
1756C2×C4—1184no—
1757C2×C4—1181no—
1758C2×C4—1181no—
1759C2×C4—1181no—
1760C2×C4—1181no—
1761C2×C4—1181no—
1762C2×C4—1181no—
1763C2×C4—1181no—
1764C2×C4—1181no—
1765C2×C4—1181no—
1766C2×C4—1181no—
1767C2×C4—1181no—
1768C2×C4—1181no—
1769C2×C4—1181no—
1770C2×C4—4721no—
1771C2×C4—4721no—
1772C2×C4—2361no—
1773C2×C4—2361no—
1774C2×C4—2361no—
1775C2×C4—2361no—
1776C2×C4—2361no—
1777C2×C4—2362no—
1778C2×C4—2362no—
1779C2×C4—2362no—
1780C2×C4—2362no—
1781C2×C4—2362no—
1782C2×C4—2362no—
1783C2×C4—2362no—
1784C2×C4—2362no—
1785C2×C4—2361no—
1786C2×C4—2361no—
1787C2×C4—2362no—
1788C2×C4—2362no—
1789C2×C4C2×D4×D5911yescharacteristic
1790C2×C4C2×D4×D5911yescharacteristic
1791C2×C4C2×D4×D5911yescharacteristic
1792C2×C4C2×D4×D5911yescharacteristic
1793C2×C4C24×D5911yescharacteristic
1794C8—21no—
1795C8—21no—
1796C8—21no—
1797C8—21no—
1798C8—1181no—
1799C8—1181no—
1800C8—1181no—
1801C8—1181no—
1802C22—21no—
1803C22—21no—
1804C22—21no—
1805C22—21no—
1806C22—21no—
1807C22—21no—
1808C22—41no—
1809C22—41no—
1810C22—41no—
1811C22—41no—
1812C22—41no—
1813C22—41no—
1814C22—592no—
1815C22—592no—
1816C22—1181no—
1817C22—1181no—
1818C22—1181no—
1819C22—1181no—
1820C22—1181no—
1821C22—1181no—
1822C22—1181no—
1823C22—4722no—
1824C22—4724no—
1825C22—2364no—
1826C22—2361no—
1827C22—2361no—
1828C22—2361no—
1829C22C22×D4×D5911yescharacteristic
1830C4—21no—
1831C4—21no—
1832C4—22no—
1833C4—21no—
1834C4—21no—
1835C4—41no—
1836C4—41no—
1837C4—41no—
1838C4—41no—
1839C4—41no—
1840C4—1181no—
1841C4—1181no—
1842C4—1181no—
1843C4—1182no—
1844C4—1181no—
1845C4—1181no—
1846C4—2361no—
1847C4—2361no—
1848C4—2361no—
1849C4—2361no—
1850C4—2361no—
1851C4—2361no—
1852C4H(5,𝔽2)×D5911yescharacteristic
1853C4C2×#1427377211yescharacteristic
1854C2—41no—
1855C2—41no—
1856C2—81no—
1857C2—81no—
1858C2—1182no—
1859C2—1182no—
1860C2—4721no—
1861C2—2361no—
1862C2#2143772411yescharacteristic
1863C2#575×D5911yescharacteristic
1864C2#578×D5911yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3269C2
socleC22×C59C23×D4
hypercenter#3269D59
hypocenterC59#61603
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3269

Complements

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

NH ≅ G/Ntype
1. #21438148C2semidirect
2. #548×D59C2semidirect
3. #21436370C2semidirect
4. #21436368C2semidirect
5. #21436164C2semidirect
6. #21436162C2semidirect
7. #21436094C2semidirect
8. #21436092C2semidirect
9. #21435978C2semidirect
10. #21435976C2semidirect
11. #21435835C2semidirect
12. #21435831C2semidirect
13. #21435747C2semidirect
14. #21435746C2semidirect
15. #21435672C2semidirect
16. #21435665C2semidirect
17. #21435647C2semidirect
18. #21435094C2semidirect
19. #21435059C2semidirect
20. #21434924C2semidirect
21. #21434897C2semidirect
22. #21434867C2semidirect
23. #21434859C2semidirect
24. #21434265C2semidirect
25. #21434134C2semidirect
26. #21433353C2semidirect
27. #21433328C2semidirect
28. #21433310C2semidirect
29. #451×D59C2semidirect
30. #21433126C2semidirect
31. C59×#3269C2semidirect
34. C2×#14273759C22semidirect
35. C2×#14273757C22semidirect
36. C2×#14273756C22semidirect
37. C2×#14273747C22semidirect
38. C2×Q16×D59C22semidirect
39. C2×Q16×D59C22semidirect
40. #16838122C22semidirect
42. #16838086C22semidirect
43. #16838086C22semidirect
46. #16838067C22semidirect
56. #16838059C22semidirect
57. #16838059C22semidirect
60. #16838057C22semidirect
81. #16837794C22semidirect
82. #16837785C22semidirect
83. #16837783C22semidirect
84. #16837762C22semidirect
85. #16837761C22semidirect
86. #16837758C22semidirect
87. #16837755C22semidirect
88. #16837744C22semidirect
89. #16837740C22semidirect
91. #16837739C22semidirect
94. #16837736C22semidirect
95. #16837727C22semidirect
96. #16837723C22semidirect
98. #16837717C22semidirect
99. #16837714C22semidirect
100. #16837708C22semidirect
101. #16837707C22semidirect
102. #16837698C22semidirect
103. #16837697C22semidirect
104. #16837659C22semidirect
105. #16837657C22semidirect
106. #16837650C22semidirect
107. #16837648C22semidirect
108. #16837647C22semidirect
109. #16837646C22semidirect
110. #16837645C22semidirect
111. #16837643C22semidirect
112. #16837641C22semidirect
113. #16837641C22semidirect
114. #16837637C22semidirect
115. #16837635C22semidirect
116. #16837634C22semidirect
117. #16837628C22semidirect
118. #16837626C22semidirect
119. #16837626C22semidirect
120. #16837625C22semidirect
121. #16837623C22semidirect
122. #16837622C22semidirect
123. #16837622C22semidirect
124. #16837622C22semidirect
125. #16837621C22semidirect
126. #16837617C22semidirect
127. #16837609C22semidirect
128. #16837566C22semidirect
129. #16837564C22semidirect
130. #16837564C22semidirect
131. #16837563C22semidirect
132. #16837562C22semidirect
133. #16837561C22semidirect
134. #16837560C22semidirect
137. #16837559C22semidirect
138. #16837558C22semidirect
139. #16837557C22semidirect
144. #16837556C22semidirect
145. #16837556C22semidirect
146. #16837556C22semidirect
150. #16837547C22semidirect
151. #16837546C22semidirect
152. #16837544C22semidirect
153. #16837542C22semidirect
156. #16837539C22semidirect
157. #16837539C22semidirect
158. #16837539C22semidirect
160. #16837510C22semidirect
161. #16837507C22semidirect
162. #16837502C22semidirect
163. Q16×Dic59C22semidirect
164. Q16×Dic59C22semidirect
165. #16837494C22semidirect
166. #16837494C22semidirect
167. #16837478C22semidirect
168. #16837477C22semidirect
169. #16837475C22semidirect
170. #16837474C22semidirect
171. #16837472C22semidirect
172. C8×C22⋊D59C22semidirect
173. (C22⋊D59)⋊C8C22semidirect
176. #16837412C22semidirect
177. #16837411C22semidirect
178. #16837402C22semidirect
179. #16837400C22semidirect
180. #16837399C22semidirect
181. #16837398C22semidirect
182. #103×D59C22semidirect
183. #103×D59C22semidirect
188. C2×#137×C59C22semidirect
189. C2×#135×C59C22semidirect
191. C59×#547C22semidirect
192. C59×#497C22semidirect
193. C59×#468C22semidirect
194. C59×#467C22semidirect
195. C59×#463C22semidirect
196. C59×#462C22semidirect
197. C59×#452C22semidirect
198. C59×#452C22semidirect
199. C59×#451C22semidirect
200. C59×#449C22semidirect
201. C59×#440C22semidirect
202. C59×#435C22semidirect
939. #3269D59semidirect
969. C2×#137C2×D59semidirect
971. C2×#135C2×D59semidirect
996. #547C2×D59semidirect
1018. #497C2×D59semidirect
1048. #468C2×D59semidirect
1052. #467C2×D59semidirect
1066. #463C2×D59semidirect
1068. #462C2×D59semidirect
1075. #452C2×D59semidirect
1076. #452C2×D59semidirect
1090. #451C2×D59semidirect
1097. #449C2×D59semidirect
1108. #440C2×D59semidirect
1118. #435C2×D59semidirect
1135. C59#61603semidirect

Maximal subgroups

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

subgroupindex
#214381482
#548×D592
#214363702
#214363682
#214361642
#214361622
#214360942
#214360922
#214359782
#214359762
#214358352
#214358312
#214357472
#214357462
#214356722
#214356652
#214356472
#214350942
#214350592
#214349242
#214348972
#214348672
#214348592
#214342652
#214341342
#214333532
#214333282
#214333102
#451×D592
#214331262
C59×#32692
#6160359