Finite Group Databasebeta

← #29474101

Subgroups — #29474101

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#21438136C211yesmaximal, characteristic, complemented
2#548×D59C211yesmaximal, characteristic, complemented
3#21436367C211yesmaximal, characteristic, complemented
4#21436365C211yesmaximal, characteristic, complemented
5#21436161C211yesmaximal, characteristic, complemented
6#21436159C211yesmaximal, characteristic, complemented
7#21436081C211yesmaximal, characteristic, complemented
8#21435981C211yesmaximal, characteristic, complemented
9#21435979C211yesmaximal, characteristic, complemented
10#21435834C211yesmaximal, characteristic, complemented
11#21435830C211yesmaximal, characteristic, complemented
12#21435750C211yesmaximal, characteristic, complemented
13#21435746C211yesmaximal, characteristic, complemented
14#21435671C211yesmaximal, characteristic, complemented
15#21435662C211yesmaximal, characteristic, complemented
16#21435657C211yesmaximal, characteristic, complemented
17#21435653C211yesmaximal, characteristic, complemented
18#21435100C211yesmaximal, characteristic, complemented
19#21435059C211yesmaximal, characteristic, complemented
20#21434921C211yesmaximal, characteristic, complemented
21#21434904C211yesmaximal, characteristic, complemented
22#21434870C211yesmaximal, characteristic, complemented
23#21434856C211yesmaximal, characteristic, complemented
24#21434265C211yesmaximal, characteristic, complemented
25#21434137C211yesmaximal, characteristic, complemented
26#21433357C211yesmaximal, characteristic, complemented
27#21433327C211yesmaximal, characteristic, complemented
28#21433311C211yesmaximal, characteristic, complemented
29C2×#16837559C211yesmaximal, characteristic, complemented
30#21433126C211yesmaximal, characteristic, complemented
31C59×#3308C211yesmaximal, characteristic, complemented
32C2×#41×D59C2211yescharacteristic
33C22×Q8×D59C2211yescharacteristic
34C2×#14273760C2211yescharacteristic, complemented
35C2×#14273757C2211yescharacteristic, complemented
36C2×#14273756C2211yescharacteristic, complemented
37C2×#14273756C2211yescharacteristic, complemented
38C2×#14273748C2211yescharacteristic, complemented
39C2×#14273746C2211yescharacteristic, complemented
40C22×Dic236C2211yescharacteristic, complemented
41C22×#11745672C2211yescharacteristic, complemented
42#16838126C2211yescharacteristic, complemented
43#16838110—21no—
44#16838087C2211yescharacteristic, complemented
45#16838087C2211yescharacteristic, complemented
46#16838075—21no—
47#16838075—21no—
48D4×Dic118C2211yescharacteristic, complemented
49#16838064C2211yescharacteristic
50#16838063C2211yescharacteristic
51#16838062—21no—
52#16838062C2211yescharacteristic
53#16838061—21no—
54#16838061C2211yescharacteristic
55#16838060—21no—
56#16838060C2211yescharacteristic
57#16838059C2211yescharacteristic
58#16838058—21no—
59#16838058C2211yescharacteristic
60#16838058C2211yescharacteristic, complemented
61#16838058C2211yescharacteristic, complemented
62#16838056C2211yescharacteristic, complemented
63#16838040—21no—
64#16838025—21no—
65#16837996—21no—
66#16837996—21no—
67#16837957C2211yescharacteristic
68#16837934C2211yescharacteristic
69#124×D59—21no—
70#124×D59C2211yescharacteristic
71#16837912C2211yescharacteristic
72#16837912C2211yescharacteristic
73C2×#14273707C2211yescharacteristic
74C2×#14273707C2211yescharacteristic
75C22⋊Q8×D59—21no—
76C22⋊Q8×D59C2211yescharacteristic
77#121×D59—21no—
78#121×D59C2211yescharacteristic
79#16837885—21no—
80C4×Q8×D59C2211yescharacteristic
81C4×D4×D59—21no—
82C4×D4×D59C2211yescharacteristic
83#16837797C2211yescharacteristic, complemented
84#16837796C2211yescharacteristic, complemented
85#16837785C2211yescharacteristic, complemented
86#16837783C2211yescharacteristic, complemented
87#16837764C2211yescharacteristic, complemented
88#16837758C2211yescharacteristic, complemented
89#16837755C2211yescharacteristic, complemented
90#16837745C2211yescharacteristic, complemented
91#16837741C2211yescharacteristic, complemented
92#16837739C2211yescharacteristic
93#16837739C2211yescharacteristic
94#16837739C2211yescharacteristic
95#16837737C2211yescharacteristic, complemented
96#16837729C2211yescharacteristic, complemented
97#16837725C2211yescharacteristic, complemented
98#16837719C2211yescharacteristic
99#16837715C2211yescharacteristic, complemented
100#16837708C2211yescharacteristic, complemented
101#16837707C2211yescharacteristic, complemented
102#16837694C2211yescharacteristic, complemented
103#16837660C2211yescharacteristic, complemented
104#16837658C2211yescharacteristic, complemented
105#16837649C2211yescharacteristic, complemented
106#16837649C2211yescharacteristic, complemented
107#16837647C2211yescharacteristic, complemented
108#16837647C2211yescharacteristic, complemented
109#16837646C2211yescharacteristic, complemented
110#16837644C2211yescharacteristic, complemented
111#16837644C2211yescharacteristic, complemented
112#16837642C2211yescharacteristic, complemented
113#16837642C2211yescharacteristic, complemented
114#16837636C2211yescharacteristic, complemented
115#16837631C2211yescharacteristic, complemented
116#16837629C2211yescharacteristic, complemented
117#16837627C2211yescharacteristic, complemented
118#16837627C2211yescharacteristic, complemented
119#16837625C2211yescharacteristic, complemented
120#16837623C2211yescharacteristic, complemented
121#16837623C2211yescharacteristic, complemented
122#16837623C2211yescharacteristic, complemented
123#16837622C2211yescharacteristic, complemented
124#16837621C2211yescharacteristic, complemented
125#16837617C2211yescharacteristic, complemented
126#16837613C2211yescharacteristic, complemented
127#16837612C2211yescharacteristic, complemented
128#16837567C2211yescharacteristic, complemented
129#16837567C2211yescharacteristic, complemented
130#16837566C2211yescharacteristic, complemented
131#16837565C2211yescharacteristic, complemented
132#16837565C2211yescharacteristic, complemented
133#16837565C2211yescharacteristic, complemented
134#16837564C2211yescharacteristic, complemented
135#16837561C2211yescharacteristic, complemented
136#16837560C2211yescharacteristic, complemented
137#16837560C2211yescharacteristic, complemented
138#16837559C2211yescharacteristic
139#16837559C2211yescharacteristic
140#16837559C2211yescharacteristic
141#16837559C2211yescharacteristic
142#16837559C2211yescharacteristic
143#16837559C2211yescharacteristic
144#16837559C2211yescharacteristic, complemented
145#16837559C2211yescharacteristic, complemented
146#16837559C2211yescharacteristic, complemented
147#16837559C2211yescharacteristic, complemented
148#16837558C2211yescharacteristic, complemented
149#16837557C2211yescharacteristic, complemented
150#16837554C2211yescharacteristic
151#16837554C2211yescharacteristic
152#16837554C2211yescharacteristic
153#16837548C2211yescharacteristic, complemented
154#16837545C2211yescharacteristic, complemented
155#16837544C2211yescharacteristic, complemented
156#16837543C2211yescharacteristic, complemented
157#16837540C2211yescharacteristic, complemented
158#16837540C2211yescharacteristic, complemented
159#16837539C2211yescharacteristic
160#16837539C2211yescharacteristic
161#16837534C2211yescharacteristic
162#16837510C2211yescharacteristic, complemented
163#16837507C2211yescharacteristic, complemented
164#16837502C2211yescharacteristic, complemented
165#16837496C2211yescharacteristic, complemented
166#16837496C2211yescharacteristic, complemented
167#16837494C2211yescharacteristic, complemented
168#16837494C2211yescharacteristic, complemented
169#16837478C2211yescharacteristic, complemented
170#16837477C2211yescharacteristic, complemented
171#16837475C2211yescharacteristic, complemented
172#16837474C2211yescharacteristic, complemented
173#16837472C2211yescharacteristic, complemented
174C8×C22⋊D59C2211yescharacteristic, complemented
175(C22⋊D59)⋊C8C2211yescharacteristic, complemented
176#16837457C2211yescharacteristic
177#16837454C2211yescharacteristic
178#16837409C2211yescharacteristic, complemented
179#16837409C2211yescharacteristic, complemented
180#16837401C2211yescharacteristic, complemented
181#16837397C2211yescharacteristic, complemented
182#16837395C2211yescharacteristic, complemented
183C2×#14273650C2211yescharacteristic, complemented
184#16837365C2211yescharacteristic
185#16837364C2211yescharacteristic
186C2×(C2×D59)⋊C8C2211yescharacteristic
187C22⋊C8×D59C2211yescharacteristic
188C59×#548C2211yescharacteristic
189C59×#547C2211yescharacteristic, complemented
190C59×#489C2211yescharacteristic, complemented
191C59×#484C2211yescharacteristic, complemented
192C59×#480C2211yescharacteristic, complemented
193C59×#477C2211yescharacteristic, complemented
194C59×#468C2211yescharacteristic, complemented
195C59×#466C2211yescharacteristic, complemented
196C59×#463C2211yescharacteristic, complemented
197C59×#449C2211yescharacteristic, complemented
198C59×#448C2211yescharacteristic, complemented
199C59×#440C2211yescharacteristic, complemented
200C59×#435C2211yescharacteristic, complemented
201C59×#417C2211yescharacteristic, complemented
202C2×#103×C59C2211yescharacteristic, complemented
203C2×#11745689C2311yescharacteristic
204C2×#11745685—21no—
205C2×#11745685C2311yescharacteristic
206C2×#11745687—21no—
207C2×#11745687C2311yescharacteristic
208C2×#11745687C2311yescharacteristic
209C2×#11745687C2311yescharacteristic
210#41×D59—42no—
211#41×D59—42no—
212C22×Dic118—21no—
213C22×Dic118C2311yescharacteristic
214C22×Dic118C2311yescharacteristic
215C22×Dic118C2311yescharacteristic
216C2×Q8×D59—21no—
217C2×Q8×D59—21no—
218C2×Q8×D59—42no—
219C2×Q8×D59—42no—
220C2×Q8×D59C2311yescharacteristic
221C2×Q8×D59C2311yescharacteristic
222C2×Q8×D59C2311yescharacteristic
223C2×Q8×D59C2311yescharacteristic
224C2×D4×D59—21no—
225C2×D4×D59—21no—
226C2×D4×D59D411yescharacteristic
227C2×D4×D59C2311yescharacteristic
228C22×C4×D59—21no—
229C22×C4×D59—21no—
230C22×C4×D59C2311yescharacteristic
231C22×C4×D59C2311yescharacteristic
232#14273760—42no—
233#14273757—42no—
234#14273756—42no—
235#14273756—42no—
236#14273748—42no—
237#14273746—42no—
238C2×Dic236—42no—
239C2×Dic236C2311yescharacteristic
240C2×Dic236C2311yescharacteristic
241C2×Dic236C2311yescharacteristic
242C2×Dic236C2311yescharacteristic
243C2×Dic236C2311yescharacteristic
244C2×Dic236C2311yescharacteristic
245C2×#11745672—42no—
246C2×#11745672C2311yescharacteristic
247C2×#11745672C2311yescharacteristic
248C2×#11745672C2311yescharacteristic
249C2×#11745672C2311yescharacteristic
250C2×#11745672C2311yescharacteristic
251C2×#11745672C2311yescharacteristic
252C2×#11745660C2311yescharacteristic
253C2×#11745660C2311yescharacteristic
254C2×#11745660C2311yescharacteristic
255C2×#11745670C2311yescharacteristic
256C2×#11745670C2311yescharacteristic
257C2×#11745670C2311yescharacteristic
258C2×#11745670C2311yescharacteristic
259C2×#11745670C2311yescharacteristic
260C2×#11745669C2311yescharacteristic
261C2×#11745664C2311yescharacteristic
262C2×#11745659C2311yescharacteristic
263C2×#11745659C2311yescharacteristic
264C22×C59⋊C8C2311yescharacteristic
265C2×C8×D59C2311yescharacteristic
266C2×C8×D59C2311yescharacteristic
267#14273727C2311yescharacteristic
268#14273726—21no—
269#14273722—21no—
270#14273722—21no—
271#14273722—21no—
272#14273722—21no—
273#14273720—21no—
274#14273718—21no—
275#14273718C2311yescharacteristic
276#14273717—21no—
277#14273717—21no—
278#14273716—21no—
279#14273716—21no—
280#14273716C2311yescharacteristic
281#14273715—21no—
282#14273715C2311yescharacteristic
283#14273714—21no—
284#14273714C2311yescharacteristic
285#14273714C2311yescharacteristic
286#14273713—21no—
287#14273713—21no—
288#14273713—21no—
289#14273713—21no—
290#14273713—21no—
291#14273713—21no—
292#14273713—21no—
293#14273713—21no—
294#14273711—21no—
295#14273711—21no—
296#14273710—21no—
297#14273710—21no—
298#14273709—21no—
299#14273709—21no—
300#14273709—21no—
301#14273707—21no—
302#14273707—21no—
303#14273707—21no—
304#14273707—21no—
305#14273707—21no—
306#14273707C2311yescharacteristic
307#14273707C2311yescharacteristic
308#14273707C2311yescharacteristic
309#14273707C2311yescharacteristic
310#14273707C2311yescharacteristic
311#14273707C2311yescharacteristic
312#14273707C2311yescharacteristic
313#14273707C2311yescharacteristic
314#14273706—21no—
315#14273706C2311yescharacteristic
316#14273706C2311yescharacteristic
317#14273706C2311yescharacteristic
318#14273705—21no—
319#14273705—21no—
320#14273705—21no—
321#14273704—21no—
322#14273704—21no—
323#14273704—21no—
324#14273704—21no—
325#14273704—21no—
326#14273704—21no—
327#14273704—21no—
328#14273703—21no—
329#14273703—21no—
330#14273703C2311yescharacteristic
331#14273702—21no—
332#14273702C2311yescharacteristic
333#14273701—21no—
334#14273701—21no—
335#14273701C2311yescharacteristic
336#14273700—21no—
337#14273700—21no—
338#14273700—21no—
339#14273699—21no—
340#14273699—21no—
341#14273699—21no—
342#14273699—21no—
343#14273699—21no—
344#14273698—21no—
345#14273698C2311yescharacteristic
346#14273698C2311yescharacteristic
347#14273695—21no—
348#14273695—21no—
349Q8×Dic59—21no—
350Q8×Dic59—21no—
351Q8×Dic59C2311yescharacteristic
352C4×Dic118—21no—
353C4×Dic118C2311yescharacteristic
354C4×Dic118C2311yescharacteristic
355#14273692—21no—
356#14273692C2311yescharacteristic
357#14273692C2311yescharacteristic
358#14273692C2311yescharacteristic
359C4×D236—21no—
360C4×D236C2311yescharacteristic
361D4×Dic59—21no—
362D4×Dic59—21no—
363D4×Dic59—21no—
364D4×Dic59—21no—
365D4×Dic59—21no—
366D4×Dic59—21no—
367D4×Dic59D411yescharacteristic
368#14273689—21no—
369#14273689D411yescharacteristic
370C4×C22⋊D59—21no—
371C4×C22⋊D59—21no—
372C4×C22⋊D59—21no—
373C4×C22⋊D59C2311yescharacteristic
374C4×C22⋊D59C2311yescharacteristic
375(C22⋊D59)⋊C4—21no—
376(C22⋊D59)⋊C4—21no—
377(C22⋊D59)⋊C4—21no—
378(C22⋊D59)⋊C4—21no—
379(C22⋊D59)⋊C4D411yescharacteristic
380(C22⋊D59)⋊C4D411yescharacteristic
381#14273686—21no—
382#14273686—21no—
383#14273686—21no—
384#14273685—21no—
385#14273685C2311yescharacteristic
386#14273685C2311yescharacteristic
387C2×C4⋊Dic59—21no—
388C2×C4⋊Dic59—21no—
389C2×C4⋊Dic59—21no—
390C4⋊C4×D59—21no—
391C4⋊C4×D59—21no—
392C4⋊C4×D59D411yescharacteristic
393C4⋊C4×D59C2311yescharacteristic
394C2×(C2×D59)⋊C4—21no—
395C2×(C2×D59)⋊C4—21no—
396C22⋊C4×D59—21no—
397C22⋊C4×D59—21no—
398C22⋊C4×D59—21no—
399C22⋊C4×D59—21no—
400C22⋊C4×D59D411yescharacteristic
401C22⋊C4×D59D411yescharacteristic
402C42×D59—21no—
403C42×D59C2311yescharacteristic
404#14273660C2311yescharacteristic
405#14273660C2311yescharacteristic
406#14273660C2311yescharacteristic
407#14273659C2311yescharacteristic
408#14273658C2311yescharacteristic
409C4⋊(C59⋊C8)C2311yescharacteristic
410Dic59⋊C8C2311yescharacteristic
411Dic59⋊C8C2311yescharacteristic
412#14273652C2311yescharacteristic
413#14273652C2311yescharacteristic
414#14273652C2311yescharacteristic
415#14273652C2311yescharacteristic
416#14273652C2311yescharacteristic
417#14273651C2311yescharacteristic
418#14273651C2311yescharacteristic
419#14273650C2311yescharacteristic
420#14273650C2311yescharacteristic
421#14273650C2311yescharacteristic
422#14273650C2311yescharacteristic
423#14273650C2311yescharacteristic
424#14273650C2311yescharacteristic
425#14273650C2311yescharacteristic
426#14273650C2311yescharacteristic
427#14273650C2311yescharacteristic
428#14273649C2311yescharacteristic
429#14273648C2311yescharacteristic
430#14273648C2311yescharacteristic
431#14273647C2311yescharacteristic
432#14273647C2311yescharacteristic
433#14273647C2311yescharacteristic
434C22⋊(C59⋊C8)C2311yescharacteristic
435C22⋊(C59⋊C8)C2311yescharacteristic
436(C2×D59)⋊C8C2311yescharacteristic
437(C2×D59)⋊C8C2311yescharacteristic
438(C2×D59)⋊C8C2311yescharacteristic
439(C2×D59)⋊C8C2311yescharacteristic
440(C2×D59)⋊C8C2311yescharacteristic
441(C2×D59)⋊C8C2311yescharacteristic
442(C2×D59)⋊C8C2311yescharacteristic
443(C2×D59)⋊C8C2311yescharacteristic
444#14273638C2311yescharacteristic
445C8×Dic59C2311yescharacteristic
446C8×Dic59C2311yescharacteristic
447C2×#41×C59—21no—
448C2×#41×C59C2311yescharacteristic
449C22×Q8×C59C2311yescharacteristic
450C2×SD16×C59C2311yescharacteristic
451C2×SD16×C59C2311yescharacteristic
452C2×D8×C59C2311yescharacteristic
453C2×M16×C59C2311yescharacteristic
454C22×C8×C59C2311yescharacteristic
455C4⋊Q8×C59C2311yescharacteristic
456#124×C59—21no—
457#124×C59C2311yescharacteristic
458#123×C59—21no—
459#123×C59—21no—
460C22⋊Q8×C59—21no—
461C22⋊Q8×C59—21no—
462C22⋊Q8×C59C2311yescharacteristic
463#121×C59—21no—
464#121×C59C2311yescharacteristic
465#121×C59C2311yescharacteristic
466#121×C59C2311yescharacteristic
467C4×Q8×C59C2311yescharacteristic
468C4×D4×C59—21no—
469C4×D4×C59C2311yescharacteristic
470C4×D4×C59C2311yescharacteristic
471C2×C4⋊C4×C59C2311yescharacteristic
472C2×C4⋊C4×C59C2311yescharacteristic
473#107×C59C2311yescharacteristic
474#107×C59C2311yescharacteristic
475#107×C59C2311yescharacteristic
476C4⋊C8×C59C2311yescharacteristic
477#103×C59C2311yescharacteristic
478#103×C59C2311yescharacteristic
479#103×C59C2311yescharacteristic
480#103×C59C2311yescharacteristic
481#103×C59C2311yescharacteristic
482#103×C59C2311yescharacteristic
483#102×C59C2311yescharacteristic
484#102×C59C2311yescharacteristic
485#102×C59C2311yescharacteristic
486#102×C59C2311yescharacteristic
487C22⋊C8×C59C2311yescharacteristic
488C22⋊C8×C59C2311yescharacteristic
489#97×C59C2311yescharacteristic
490C23×D59—21no—
491C23×D59C2×D411yescharacteristic
492C23×D59C2×D411yescharacteristic
493#41×C59—22no—
494#41×C59—41no—
495#41×C59—44no—
496C2×Q8×C59—21no—
497C2×Q8×C59—21no—
498C2×Q8×C59—22no—
499C2×Q8×C59—41no—
500C2×Q8×C59C2411yescharacteristic
501C2×Q8×C59C2411yescharacteristic
502C2×D4×C59—21no—
503C2×D4×C59—21no—
504C2×D4×C59—21no—
505C2×D4×C59—21no—
506C2×D4×C59C2×D411yescharacteristic
507C2×D4×C59C2411yescharacteristic
508C2×D4×C59C2411yescharacteristic
509C22×C4×C59—21no—
510C22×C4×C59—21no—
511C22×C4×C59—21no—
512C22×C4×C59—21no—
513C22×C4×C59—21no—
514C22×C4×C59C2411yescharacteristic
515C22×C4×C59C2411yescharacteristic
516C2×C22⋊D59—21no—
517C2×C22⋊D59—21no—
518C2×C22⋊D59—21no—
519C2×C22⋊D59—21no—
520C2×C22⋊D59—21no—
521C2×C22⋊D59—21no—
522C2×C22⋊D59—21no—
523C2×C22⋊D59—21no—
524C2×C22⋊D59C2×D411yescharacteristic
525C2×C22⋊D59C2×D411yescharacteristic
526C22×Dic59—21no—
527C22×Dic59—21no—
528C22×Dic59—21no—
529C22×Dic59—21no—
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—44no—
546#11745687—22no—
547#11745687—41no—
548#11745687—41no—
549#11745687—41no—
550#11745687—41no—
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—
561C2×D236—21no—
562C2×D236—21no—
563C2×D236C2×D411yescharacteristic
564C2×D236C2411yescharacteristic
565C2×C4×D59—21no—
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—41no—
573C2×C4×D59—41no—
574C2×C4×D59—41no—
575C2×C4×D59—41no—
576C2×C4×D59—44no—
577C2×C4×D59—44no—
578C2×C4×D59C2×D411yescharacteristic
579C2×C4×D59C2×D411yescharacteristic
580C2×C4×D59C2×D411yescharacteristic
581C2×C4×D59C2×D411yescharacteristic
582C2×C4×D59C2×D411yescharacteristic
583C2×C4×D59C2×D411yescharacteristic
584C2×C4×D59C2411yescharacteristic
585C2×C4×D59C2411yescharacteristic
586C2×C4×D59C2411yescharacteristic
587C2×Dic118—21no—
588C2×Dic118—22no—
589C2×Dic118—21no—
590C2×Dic118—21no—
591C2×Dic118—21no—
592C2×Dic118—21no—
593C2×Dic118—21no—
594C2×Dic118—21no—
595C2×Dic118—41no—
596C2×Dic118—41no—
597C2×Dic118—41no—
598C2×Dic118—41no—
599C2×Dic118—41no—
600C2×Dic118—44no—
601C2×Dic118C2411yescharacteristic
602C2×Dic118C2411yescharacteristic
603C2×Dic118C2411yescharacteristic
604C2×Dic118C2411yescharacteristic
605C2×Dic118C2411yescharacteristic
606SD16×C59—22no—
607SD16×C59—41no—
608D8×C59—41no—
609M16×C59—41no—
610C2×C8×C59—41no—
611C2×C8×C59C2411yescharacteristic
612C2×C8×C59C2411yescharacteristic
613C2×C8×C59C2411yescharacteristic
614C2×C8×C59C2411yescharacteristic
615C4⋊C4×C59—21no—
616C4⋊C4×C59—21no—
617C4⋊C4×C59—21no—
618C4⋊C4×C59—21no—
619C4⋊C4×C59—21no—
620C4⋊C4×C59C2×D411yescharacteristic
621C4⋊C4×C59C2411yescharacteristic
622C4⋊C4×C59C2411yescharacteristic
623C4⋊C4×C59C2411yescharacteristic
624C4⋊C4×C59C2411yescharacteristic
625C22⋊C4×C59—21no—
626C22⋊C4×C59—21no—
627C22⋊C4×C59—21no—
628C22⋊C4×C59—21no—
629C22⋊C4×C59—21no—
630C22⋊C4×C59—21no—
631C22⋊C4×C59—21no—
632C22⋊C4×C59C2×D411yescharacteristic
633C22⋊C4×C59C2×D411yescharacteristic
634C42×C59—21no—
635C42×C59C2411yescharacteristic
636C22⋊Dic59—21no—
637C22⋊Dic59—21no—
638C22⋊Dic59—21no—
639C22⋊Dic59—21no—
640C22⋊Dic59—21no—
641C22⋊Dic59—21no—
642C22⋊Dic59—21no—
643C22⋊Dic59—21no—
644C22⋊Dic59—21no—
645C22⋊Dic59C2×D411yescharacteristic
646C22⋊Dic59C2×D411yescharacteristic
647#11745672—22no—
648#11745672—22no—
649#11745672—22no—
650#11745672—41no—
651#11745672—41no—
652#11745672—41no—
653#11745670—22no—
654#11745670—41no—
655#11745670—41no—
656#11745670—41no—
657#11745670—41no—
658#11745669—41no—
659(C2×D59)⋊C4—21no—
660(C2×D59)⋊C4—21no—
661(C2×D59)⋊C4—21no—
662(C2×D59)⋊C4—21no—
663(C2×D59)⋊C4—21no—
664(C2×D59)⋊C4—21no—
665(C2×D59)⋊C4—21no—
666(C2×D59)⋊C4—21no—
667(C2×D59)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
677(C2×D59)⋊C4C2×D411yescharacteristic
678(C2×D59)⋊C4C2×D411yescharacteristic
679(C2×D59)⋊C4C2×D411yescharacteristic
680C4⋊Dic59—21no—
681C4⋊Dic59—21no—
682C4⋊Dic59—21no—
683C4⋊Dic59—21no—
684C4⋊Dic59—21no—
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
695Dic59⋊C4—21no—
696Dic59⋊C4—21no—
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⋊C4C2×D411yescharacteristic
707Dic59⋊C4C2×D411yescharacteristic
708C4×Dic59—21no—
709C4×Dic59—21no—
710C4×Dic59—21no—
711C4×Dic59—21no—
712C4×Dic59—21no—
713C4×Dic59—21no—
714C4×Dic59—21no—
715C4×Dic59—21no—
716C4×Dic59C2×D411yescharacteristic
717C4×Dic59C2×D411yescharacteristic
718C4×Dic59C2411yescharacteristic
719#11745664—41no—
720C2×C59⋊C8—41no—
721C2×C59⋊C8C2411yescharacteristic
722C2×C59⋊C8C2411yescharacteristic
723C2×C59⋊C8C2411yescharacteristic
724C2×C59⋊C8C2411yescharacteristic
725Dic236—22no—
726Dic236—22no—
727Dic236—22no—
728Dic236—41no—
729Dic236—41no—
730Dic236—41no—
731#11745660—41no—
732#11745660—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—42no—
759Q8×C59—42no—
760Q8×C59H(5,𝔽2)12yes—
761D4×C59—22no—
762D4×C59—21no—
763D4×C59—21no—
764D4×C59—21no—
765D4×C59—21no—
766D4×C59—42no—
767D4×C59—42no—
768D4×C59—42no—
769D4×C59—42no—
770C2×C4×C59—21no—
771C2×C4×C59—21no—
772C2×C4×C59—21no—
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—42no—
781C2×C4×C59—42no—
782C2×C4×C59—42no—
783C2×C4×C59—42no—
784C2×C4×C59—42no—
785C2×C4×C59C22×D411yescharacteristic
786C2×C4×C59C22×D411yescharacteristic
787C2×C4×C59C22×D411yescharacteristic
788C2×C4×C59C22×D411yescharacteristic
789C2×C4×C59C2511yescharacteristic
790C22⋊D59—22no—
791C22⋊D59—41no—
792C22⋊D59—42no—
793C22⋊D59—42no—
794C22⋊D59—42no—
795C22⋊D59—42no—
796C22⋊D59—42no—
797C22⋊D59—42no—
798C22⋊D59—81no—
799C22⋊D59—81no—
800C2×Dic59—21no—
801C2×Dic59—21no—
802C2×Dic59—21no—
803C2×Dic59—21no—
804C2×Dic59—21no—
805C2×Dic59—21no—
806C2×Dic59—21no—
807C2×Dic59—41no—
808C2×Dic59—41no—
809C2×Dic59—42no—
810C2×Dic59—42no—
811C2×Dic59—81no—
812C2×Dic59—81no—
813C2×Dic59—81no—
814C2×Dic59—81no—
815C2×Dic59C22×D411yescharacteristic
816C2×Dic59C22×D411yescharacteristic
817C2×Dic59C22×D411yescharacteristic
818C2×Dic59C22×D411yescharacteristic
819C2×Dic59C22×D411yescharacteristic
820D236—21no—
821D236—21no—
822D236—41no—
823D236—42no—
824D236—42no—
825C4×D59—24no—
826C4×D59—22no—
827C4×D59—21no—
828C4×D59—21no—
829C4×D59—21no—
830C4×D59—21no—
831C4×D59—21no—
832C4×D59—21no—
833C4×D59—41no—
834C4×D59—41no—
835C4×D59—41no—
836C4×D59—41no—
837C4×D59—41no—
838C4×D59—42no—
839C4×D59—42no—
840C4×D59—42no—
841C4×D59—42no—
842C4×D59—42no—
843C4×D59—42no—
844Dic118—24no—
845Dic118—21no—
846Dic118—21no—
847Dic118—21no—
848Dic118—21no—
849Dic118—21no—
850Dic118—21no—
851Dic118—21no—
852Dic118—21no—
853Dic118—21no—
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—41no—
876C22×C59—41no—
877C22×C59—41no—
878C22×C59—41no—
879C22×C59—41no—
880C22×C59—41no—
881C22×C59#57512yes—
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—21no—
891C2×D59—44no—
892C2×D59—41no—
893C2×D59—41no—
894C2×D59—41no—
895C2×D59—82no—
896C2×D59—84no—
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#3308D5911yescharacteristic, complemented
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#3269—591no—
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—22no—
954C2×C59—41no—
955C2×C59—81no—
956C2×C59—81no—
957C2×C59#348411yescharacteristic
958C2×C59C2×#57511yescharacteristic
959C2×C59C2×#57811yescharacteristic
960D59—22no—
961D59—41no—
962D59—41no—
963D59—81no—
964C22×#41—591no—
965C23×Q8—591no—
966C2×#137—591no—
967C2×#137—591no—
968C2×#137—591no—
969C2×#137—591no—
970C2×#135—591no—
971C2×#135—591no—
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#497—591no—
1019#495—591no—
1020#495—591no—
1021#489—591no—
1022#489C2×D5911yescharacteristic, complemented
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#484C2×D5911yescharacteristic, complemented
1032#482—591no—
1033#482—591no—
1034#481—591no—
1035#480—591no—
1036#480C2×D5911yescharacteristic, complemented
1037#479—591no—
1038#479—591no—
1039#477—591no—
1040#477C2×D5911yescharacteristic, complemented
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#467—591no—
1053#466—591no—
1054#466C2×D5911yescharacteristic, complemented
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#462—591no—
1069#452—591no—
1070#452—591no—
1071#452—591no—
1072#452—591no—
1073#452—591no—
1074#452—591no—
1075#452—591no—
1076#452—591no—
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#451—591no—
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#448C2×D5911yescharacteristic, complemented
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#417C2×D5911yescharacteristic, complemented
1127#416—591no—
1128#416—591no—
1129C2×#103—591no—
1130C2×#103C2×D5911yescharacteristic, complemented
1131#407—591no—
1132#407—591no—
1133C2×C22⋊C8—591no—
1134C2×C22⋊C8—591no—
1135C59#6160311yescharacteristic, complemented, Sylow
1136C2×#41—21no—
1137C2×#41—591no—
1138C2×#41—591no—
1139C2×#41—591no—
1140C2×#41—591no—
1141C2×#41—591no—
1142C2×#41—1181no—
1143C2×#41—1181no—
1144C2×#41—2362no—
1145C2×#41—2362no—
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—2362no—
1169#137—2362no—
1170#137—2362no—
1171#137—2362no—
1172#135—2362no—
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—591no—
1183C2×Q16—591no—
1184C2×Q16—591no—
1185C2×Q16—591no—
1186C2×Q16—2362no—
1187C2×Q16—2362no—
1188C2×SD16—591no—
1189C2×SD16—591no—
1190C2×SD16—591no—
1191C2×SD16—591no—
1192C2×SD16—591no—
1193C2×SD16—591no—
1194C2×SD16—591no—
1195C2×SD16—591no—
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—21no—
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—591no—
1259C22⋊Q8—591no—
1260C22⋊Q8—591no—
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⋊Q8—1181no—
1278C22⋊Q8—1181no—
1279C22⋊Q8C22×D5911yescharacteristic
1280#121—21no—
1281#121—591no—
1282#121—591no—
1283#121—591no—
1284#121—591no—
1285#121—1181no—
1286#121—1181no—
1287#121—1181no—
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#121C22×D5911yescharacteristic
1298#121C22×D5911yescharacteristic
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—591no—
1345C2×C4⋊C4—591no—
1346C2×C4⋊C4—1181no—
1347C2×C4⋊C4—1181no—
1348C2×C4⋊C4—1181no—
1349C2×C4⋊C4—1181no—
1350C2×C4⋊C4—1181no—
1351C2×C4⋊C4C22×D5911yescharacteristic
1352C2×C4⋊C4C22×D5911yescharacteristic
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#107C22×D5911yescharacteristic
1367#107C22×D5911yescharacteristic
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#103C22×D5911yescharacteristic
1392#103C22×D5911yescharacteristic
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#102C22×D5911yescharacteristic
1404#102C22×D5911yescharacteristic
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—44no—
1429#41—1182no—
1430#41—1182no—
1431#41—1182no—
1432#41—2361no—
1433#41—2364no—
1434#41—2361no—
1435#41—2361no—
1436#41—2361no—
1437#41—2361no—
1438#41—2361no—
1439#41—2361no—
1440#41—2364no—
1441C2×Q8—21no—
1442C2×Q8—21no—
1443C2×Q8—22no—
1444C2×Q8—41no—
1445C2×Q8—591no—
1446C2×Q8—591no—
1447C2×Q8—591no—
1448C2×Q8—591no—
1449C2×Q8—591no—
1450C2×Q8—1181no—
1451C2×Q8—1181no—
1452C2×Q8—1181no—
1453C2×Q8—1181no—
1454C2×Q8—1182no—
1455C2×Q8—1182no—
1456C2×Q8—1182no—
1457C2×Q8—1181no—
1458C2×Q8—1181no—
1459C2×Q8—1181no—
1460C2×Q8—1182no—
1461C2×Q8—1182no—
1462C2×Q8—2361no—
1463C2×Q8—2361no—
1464C2×Q8—2361no—
1465C2×Q8—2361no—
1466C2×Q8—2361no—
1467C2×Q8—2364no—
1468C2×Q8—2361no—
1469C2×Q8—2361no—
1470C2×Q8—2361no—
1471C2×Q8—2361no—
1472C2×Q8—2364no—
1473C2×Q8—2364no—
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—1182no—
1540Q16—1182no—
1541Q16—1182no—
1542Q16—1182no—
1543Q16—1182no—
1544Q16—1182no—
1545Q16—2361no—
1546Q16—2361no—
1547Q16—2361no—
1548Q16—2361no—
1549Q16—2361no—
1550Q16—2361no—
1551SD16—22no—
1552SD16—41no—
1553SD16—1182no—
1554SD16—2361no—
1555SD16—2361no—
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—591no—
1585C4⋊C4—591no—
1586C4⋊C4—591no—
1587C4⋊C4—591no—
1588C4⋊C4—591no—
1589C4⋊C4—1181no—
1590C4⋊C4—1181no—
1591C4⋊C4—1181no—
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⋊C4D4×D5911yescharacteristic
1613C4⋊C4C23×D5911yescharacteristic
1614C4⋊C4C23×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—42no—
1692Q8—42no—
1693Q8—592no—
1694Q8—1184no—
1695Q8—1181no—
1696Q8—1181no—
1697Q8—1181no—
1698Q8—1181no—
1699Q8—1181no—
1700Q8—1181no—
1701Q8—1181no—
1702Q8—1181no—
1703Q8—1181no—
1704Q8—4721no—
1705Q8—4721no—
1706Q8—2362no—
1707Q8—2362no—
1708Q8—2362no—
1709Q8—2362no—
1710Q8#1427377312yes—
1711D4—22no—
1712D4—21no—
1713D4—21no—
1714D4—21no—
1715D4—21no—
1716D4—42no—
1717D4—42no—
1718D4—42no—
1719D4—42no—
1720D4—1182no—
1721D4—1181no—
1722D4—1181no—
1723D4—4721no—
1724D4—4721no—
1725D4—2361no—
1726D4—2362no—
1727D4—2362no—
1728D4—2361no—
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—42no—
1749C2×C4—42no—
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—4721no—
1773C2×C4—4721no—
1774C2×C4—2361no—
1775C2×C4—2361no—
1776C2×C4—2361no—
1777C2×C4—2361no—
1778C2×C4—2361no—
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—41no—
1808C22—41no—
1809C22—41no—
1810C22—41no—
1811C22—41no—
1812C22—41no—
1813C22—592no—
1814C22—1181no—
1815C22—1181no—
1816C22—1181no—
1817C22—1181no—
1818C22—1181no—
1819C22—1181no—
1820C22—1181no—
1821C22—1181no—
1822C22—4722no—
1823C22—4724no—
1824C22—2364no—
1825C22—2361no—
1826C22—2361no—
1827C22—2361no—
1828C22#1683819812yes—
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×#1427377311yescharacteristic
1854C2—22no—
1855C2—41no—
1856C2—81no—
1857C2—81no—
1858C2—1182no—
1859C2—4721no—
1860C2—2361no—
1861C2—2361no—
1862C2#2143772611yescharacteristic
1863C2C2×#1683819811yescharacteristic
1864C2#578×D5911yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3308C2
socleC22×C59C23×D4
hypercenter#3308D59
hypocenterC59#61603
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3308

Complements

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

NH ≅ G/Ntype
1. #21438136C2semidirect
2. #548×D59C2semidirect
3. #21436367C2semidirect
4. #21436365C2semidirect
5. #21436161C2semidirect
6. #21436159C2semidirect
7. #21436081C2semidirect
8. #21435981C2semidirect
9. #21435979C2semidirect
10. #21435834C2semidirect
11. #21435830C2semidirect
12. #21435750C2semidirect
13. #21435746C2semidirect
14. #21435671C2semidirect
15. #21435662C2semidirect
16. #21435657C2semidirect
17. #21435653C2semidirect
18. #21435100C2semidirect
19. #21435059C2semidirect
20. #21434921C2semidirect
21. #21434904C2semidirect
22. #21434870C2semidirect
23. #21434856C2semidirect
24. #21434265C2semidirect
25. #21434137C2semidirect
26. #21433357C2semidirect
27. #21433327C2semidirect
28. #21433311C2semidirect
29. C2×#16837559C2semidirect
30. #21433126C2semidirect
31. C59×#3308C2semidirect
34. C2×#14273760C22semidirect
35. C2×#14273757C22semidirect
36. C2×#14273756C22semidirect
37. C2×#14273756C22semidirect
38. C2×#14273748C22semidirect
39. C2×#14273746C22semidirect
40. C22×Dic236C22semidirect
41. C22×#11745672C22semidirect
42. #16838126C22semidirect
44. #16838087C22semidirect
45. #16838087C22semidirect
48. D4×Dic118C22semidirect
60. #16838058C22semidirect
61. #16838058C22semidirect
62. #16838056C22semidirect
83. #16837797C22semidirect
84. #16837796C22semidirect
85. #16837785C22semidirect
86. #16837783C22semidirect
87. #16837764C22semidirect
88. #16837758C22semidirect
89. #16837755C22semidirect
90. #16837745C22semidirect
91. #16837741C22semidirect
95. #16837737C22semidirect
96. #16837729C22semidirect
97. #16837725C22semidirect
99. #16837715C22semidirect
100. #16837708C22semidirect
101. #16837707C22semidirect
102. #16837694C22semidirect
103. #16837660C22semidirect
104. #16837658C22semidirect
105. #16837649C22semidirect
106. #16837649C22semidirect
107. #16837647C22semidirect
108. #16837647C22semidirect
109. #16837646C22semidirect
110. #16837644C22semidirect
111. #16837644C22semidirect
112. #16837642C22semidirect
113. #16837642C22semidirect
114. #16837636C22semidirect
115. #16837631C22semidirect
116. #16837629C22semidirect
117. #16837627C22semidirect
118. #16837627C22semidirect
119. #16837625C22semidirect
120. #16837623C22semidirect
121. #16837623C22semidirect
122. #16837623C22semidirect
123. #16837622C22semidirect
124. #16837621C22semidirect
125. #16837617C22semidirect
126. #16837613C22semidirect
127. #16837612C22semidirect
128. #16837567C22semidirect
129. #16837567C22semidirect
130. #16837566C22semidirect
131. #16837565C22semidirect
132. #16837565C22semidirect
133. #16837565C22semidirect
134. #16837564C22semidirect
135. #16837561C22semidirect
136. #16837560C22semidirect
137. #16837560C22semidirect
144. #16837559C22semidirect
145. #16837559C22semidirect
146. #16837559C22semidirect
147. #16837559C22semidirect
148. #16837558C22semidirect
149. #16837557C22semidirect
153. #16837548C22semidirect
154. #16837545C22semidirect
155. #16837544C22semidirect
156. #16837543C22semidirect
157. #16837540C22semidirect
158. #16837540C22semidirect
162. #16837510C22semidirect
163. #16837507C22semidirect
164. #16837502C22semidirect
165. #16837496C22semidirect
166. #16837496C22semidirect
167. #16837494C22semidirect
168. #16837494C22semidirect
169. #16837478C22semidirect
170. #16837477C22semidirect
171. #16837475C22semidirect
172. #16837474C22semidirect
173. #16837472C22semidirect
174. C8×C22⋊D59C22semidirect
175. (C22⋊D59)⋊C8C22semidirect
178. #16837409C22semidirect
179. #16837409C22semidirect
180. #16837401C22semidirect
181. #16837397C22semidirect
182. #16837395C22semidirect
183. C2×#14273650C22semidirect
189. C59×#547C22semidirect
190. C59×#489C22semidirect
191. C59×#484C22semidirect
192. C59×#480C22semidirect
193. C59×#477C22semidirect
194. C59×#468C22semidirect
195. C59×#466C22semidirect
196. C59×#463C22semidirect
197. C59×#449C22semidirect
198. C59×#448C22semidirect
199. C59×#440C22semidirect
200. C59×#435C22semidirect
201. C59×#417C22semidirect
202. C2×#103×C59C22semidirect
929. #3308D59semidirect
996. #547C2×D59semidirect
1022. #489C2×D59semidirect
1031. #484C2×D59semidirect
1036. #480C2×D59semidirect
1040. #477C2×D59semidirect
1048. #468C2×D59semidirect
1054. #466C2×D59semidirect
1066. #463C2×D59semidirect
1097. #449C2×D59semidirect
1103. #448C2×D59semidirect
1108. #440C2×D59semidirect
1118. #435C2×D59semidirect
1126. #417C2×D59semidirect
1130. C2×#103C2×D59semidirect
1135. C59#61603semidirect

Maximal subgroups

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

subgroupindex
#214381362
#548×D592
#214363672
#214363652
#214361612
#214361592
#214360812
#214359812
#214359792
#214358342
#214358302
#214357502
#214357462
#214356712
#214356622
#214356572
#214356532
#214351002
#214350592
#214349212
#214349042
#214348702
#214348562
#214342652
#214341372
#214333572
#214333272
#214333112
C2×#168375592
#214331262
C59×#33082
#6160359