Finite Group Databasebeta

← #29473890

Subgroups — #29473890

Order 15104.

2148 conjugacy classes of subgroups.

The subgroup lattice has 1888 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438121C211yesmaximal, characteristic
2D4×Q8×D59C211yesmaximal, characteristic, complemented
3#21436388C211yesmaximal, characteristic, complemented
4#21436386C211yesmaximal, characteristic, complemented
5#21436266C211yesmaximal, characteristic, complemented
6#21436264C211yesmaximal, characteristic, complemented
7#21436261C211yesmaximal, characteristic, complemented
8#21435970C211yesmaximal, characteristic, complemented
9#21435968C211yesmaximal, characteristic, complemented
10#21435789C211yesmaximal, characteristic, complemented
11#21435785C211yesmaximal, characteristic, complemented
12#21435760C211yesmaximal, characteristic, complemented
13#21435759C211yesmaximal, characteristic, complemented
14#21435612C211yesmaximal, characteristic, complemented
15#21435611C211yesmaximal, characteristic, complemented
16#21435608C211yesmaximal, characteristic, complemented
17#21435607C211yesmaximal, characteristic, complemented
18#21435124C211yesmaximal, characteristic, complemented
19#21435020C211yesmaximal, characteristic, complemented
20#21434901C211yesmaximal, characteristic, complemented
21#21434897C211yesmaximal, characteristic, complemented
22#21434881C211yesmaximal, characteristic, complemented
23#21434872C211yesmaximal, characteristic, complemented
24#21434216C211yesmaximal, characteristic, complemented
25#21434181C211yesmaximal, characteristic, complemented
26#21433332C211yesmaximal, characteristic, complemented
27#21433327C211yesmaximal, characteristic, complemented
28C2×#16837542C211yesmaximal, characteristic, complemented
29#448×D59C211yesmaximal, characteristic, complemented
30#21433126C211yesmaximal, characteristic, complemented
31C59×#3320C211yesmaximal, characteristic, complemented
32C22×Q8×D59C2211yescharacteristic, complemented
33C22×Q8×D59C2211yescharacteristic, complemented
34C2×#14273760C2211yescharacteristic, complemented
35C2×#14273758C2211yescharacteristic, complemented
36C2×#14273756C2211yescharacteristic, complemented
37C2×#14273756C2211yescharacteristic, complemented
38C22×#11745660C2211yescharacteristic, complemented
39C22×#11745671C2211yescharacteristic, complemented
40C2×SD16×D59C2211yescharacteristic, complemented
41C2×SD16×D59C2211yescharacteristic, complemented
42#16838115C2211yescharacteristic
43#16838107C2211yescharacteristic
44#16838105C2211yescharacteristic
45#16838103—21no—
46#16838070C2211yescharacteristic
47Q8×D236C2211yescharacteristic, complemented
48D4×Dic118—21no—
49D4×Dic118C2211yescharacteristic, complemented
50#16838067—21no—
51#16838067C2211yescharacteristic, complemented
52Q8×C22⋊D59C2211yescharacteristic
53Q8×C22⋊D59C2211yescharacteristic, complemented
54#16838065—21no—
55#16838065—21no—
56#16838065C2211yescharacteristic
57#16838065C2211yescharacteristic, complemented
58#16838048—21no—
59#16838048C2211yescharacteristic
60#16838047C2211yescharacteristic
61#16838044—21no—
62#16838036—21no—
63#16838036C2211yescharacteristic
64#16838004—21no—
65#16837991—21no—
66#16837989—21no—
67#16837949C2211yescharacteristic
68C4⋊Q8×D59—21no—
69C4⋊Q8×D59C2211yescharacteristic, complemented
70#16837937C2211yescharacteristic
71#16837914C2211yescharacteristic
72#16837912C2211yescharacteristic
73C22⋊Q8×D59—21no—
74C22⋊Q8×D59—21no—
75C22⋊Q8×D59C2211yescharacteristic, complemented
76C22⋊Q8×D59C2211yescharacteristic, complemented
77C2×#14273702C2211yescharacteristic
78#121×D59C2211yescharacteristic
79#16837874—21no—
80C4×Q8×D59C2211yescharacteristic, complemented
81C4×D4×D59—21no—
82C4×D4×D59C2211yescharacteristic
83#16837796C2211yescharacteristic, complemented
84#16837794C2211yescharacteristic, complemented
85#16837773C2211yescharacteristic, complemented
86#16837773C2211yescharacteristic, complemented
87#16837772C2211yescharacteristic, complemented
88#16837751C2211yescharacteristic, complemented
89#16837751C2211yescharacteristic, complemented
90#16837746C2211yescharacteristic, complemented
91#16837743C2211yescharacteristic, complemented
92#16837742C2211yescharacteristic, complemented
93#16837739C2211yescharacteristic, complemented
94#16837737C2211yescharacteristic, complemented
95#16837736C2211yescharacteristic, complemented
96#16837734C2211yescharacteristic, complemented
97#16837717C2211yescharacteristic
98#16837717C2211yescharacteristic, complemented
99#16837714C2211yescharacteristic, complemented
100#16837706C2211yescharacteristic, complemented
101#16837696C2211yescharacteristic, complemented
102#16837695C2211yescharacteristic, complemented
103#16837651C2211yescharacteristic, complemented
104#16837651C2211yescharacteristic, complemented
105#16837650C2211yescharacteristic, complemented
106#16837649C2211yescharacteristic, complemented
107#16837649C2211yescharacteristic, complemented
108#16837648C2211yescharacteristic, complemented
109#16837646C2211yescharacteristic, complemented
110#16837644C2211yescharacteristic, complemented
111#16837643C2211yescharacteristic, complemented
112#16837642C2211yescharacteristic, complemented
113#16837641C2211yescharacteristic, complemented
114#16837634C2211yescharacteristic, complemented
115#16837632C2211yescharacteristic, complemented
116#16837629C2211yescharacteristic, complemented
117#16837625C2211yescharacteristic, complemented
118#16837624C2211yescharacteristic, complemented
119#16837611C2211yescharacteristic, complemented
120#16837611C2211yescharacteristic, complemented
121#16837608C2211yescharacteristic, complemented
122#16837607C2211yescharacteristic, complemented
123#16837606C2211yescharacteristic, complemented
124#16837606C2211yescharacteristic, complemented
125#16837604C2211yescharacteristic, complemented
126#16837601C2211yescharacteristic, complemented
127#16837600C2211yescharacteristic, complemented
128#16837566C2211yescharacteristic, complemented
129#16837565C2211yescharacteristic, complemented
130#16837562C2211yescharacteristic, complemented
131#16837561C2211yescharacteristic, complemented
132#16837560C2211yescharacteristic, complemented
133#16837559C2211yescharacteristic, complemented
134#16837559C2211yescharacteristic, complemented
135#16837559C2211yescharacteristic, complemented
136#16837559C2211yescharacteristic, complemented
137#16837559C2211yescharacteristic, complemented
138#16837558C2211yescharacteristic, complemented
139#16837555C2211yescharacteristic, complemented
140#16837554C2211yescharacteristic, complemented
141#16837552C2211yescharacteristic, complemented
142#16837551C2211yescharacteristic, complemented
143#16837543C2211yescharacteristic, complemented
144#16837542C2211yescharacteristic
145#16837542C2211yescharacteristic
146#16837542C2211yescharacteristic
147#16837542C2211yescharacteristic, complemented
148#16837542C2211yescharacteristic, complemented
149#16837542C2211yescharacteristic, complemented
150#16837542C2211yescharacteristic, complemented
151#16837542C2211yescharacteristic, complemented
152#16837542C2211yescharacteristic, complemented
153#16837542C2211yescharacteristic, complemented
154#16837542C2211yescharacteristic, complemented
155#16837542C2211yescharacteristic, complemented
156#16837541C2211yescharacteristic, complemented
157#16837540C2211yescharacteristic, complemented
158#16837540C2211yescharacteristic, complemented
159#16837539C2211yescharacteristic, complemented
160#16837539C2211yescharacteristic, complemented
161#16837539C2211yescharacteristic, complemented
162#16837504C2211yescharacteristic, complemented
163#16837502C2211yescharacteristic, complemented
164#16837500C2211yescharacteristic, complemented
165#16837496C2211yescharacteristic, complemented
166#16837494C2211yescharacteristic, complemented
167#16837489C2211yescharacteristic, complemented
168#16837487C2211yescharacteristic, complemented
169#16837478C2211yescharacteristic, complemented
170#16837477C2211yescharacteristic, complemented
171#16837475C2211yescharacteristic, complemented
172#16837474C2211yescharacteristic, complemented
173#16837472C2211yescharacteristic, complemented
174C8×C22⋊D59C2211yescharacteristic
175(C22⋊D59)⋊C8C2211yescharacteristic
176#16837457C2211yescharacteristic, complemented
177#16837454C2211yescharacteristic, complemented
178#16837410C2211yescharacteristic, complemented
179#16837409C2211yescharacteristic, complemented
180#16837409C2211yescharacteristic, complemented
181C2×#14273650C2211yescharacteristic, complemented
182#103×D59C2211yescharacteristic, complemented
183#103×D59C2211yescharacteristic, complemented
184#16837365C2211yescharacteristic, complemented
185#16837364C2211yescharacteristic, complemented
186C2×(C2×D59)⋊C8C2211yescharacteristic, complemented
187C22⋊C8×D59C2211yescharacteristic, complemented
188C59×#553C2211yescharacteristic
189D4×Q8×C59C2211yescharacteristic, complemented
190C59×#491C2211yescharacteristic, complemented
191C59×#485C2211yescharacteristic, complemented
192C59×#484C2211yescharacteristic, complemented
193C59×#479C2211yescharacteristic, complemented
194C59×#468C2211yescharacteristic, complemented
195C59×#465C2211yescharacteristic, complemented
196C59×#461C2211yescharacteristic, complemented
197C59×#448C2211yescharacteristic, complemented
198C59×#448C2211yescharacteristic, complemented
199C59×#440C2211yescharacteristic, complemented
200C59×#435C2211yescharacteristic, complemented
201C59×#419C2211yescharacteristic, complemented
202C2×#103×C59C2211yescharacteristic, complemented
203C2×#11745685—21no—
204C2×#11745685C2311yescharacteristic
205C2×#11745687C2311yescharacteristic
206C22×Dic118—21no—
207C22×Dic118—21no—
208C22×Dic118C2311yescharacteristic
209C22×Dic118C2311yescharacteristic
210C2×Q8×D59—21no—
211C2×Q8×D59—21no—
212C2×Q8×D59—21no—
213C2×Q8×D59—21no—
214C2×Q8×D59—42no—
215C2×Q8×D59—42no—
216C2×Q8×D59—42no—
217C2×Q8×D59—42no—
218C2×Q8×D59C2311yescharacteristic
219C2×Q8×D59C2311yescharacteristic
220C2×Q8×D59C2311yescharacteristic
221C2×Q8×D59C2311yescharacteristic
222C2×Q8×D59C2311yescharacteristic
223C2×Q8×D59C2311yescharacteristic
224C2×Q8×D59C2311yescharacteristic
225C22×D236—21no—
226C22×D236C2311yescharacteristic
227C2×D4×D59—21no—
228C2×D4×D59—21no—
229C2×D4×D59D411yescharacteristic
230C2×D4×D59C2311yescharacteristic
231C22×C4×D59—21no—
232C22×C4×D59—21no—
233C22×C4×D59C2311yescharacteristic
234C22×C4×D59C2311yescharacteristic
235#14273760—42no—
236#14273758—42no—
237#14273756—42no—
238#14273756—42no—
239C2×Dic236C2311yescharacteristic
240C2×Dic236C2311yescharacteristic
241C2×Dic236C2311yescharacteristic
242C2×#11745672C2311yescharacteristic
243C2×#11745672C2311yescharacteristic
244C2×#11745672C2311yescharacteristic
245C2×#11745660—42no—
246C2×#11745660C2311yescharacteristic
247C2×#11745660C2311yescharacteristic
248C2×#11745660C2311yescharacteristic
249C2×#11745660C2311yescharacteristic
250C2×#11745660C2311yescharacteristic
251C2×#11745660C2311yescharacteristic
252C2×#11745670C2311yescharacteristic
253C2×#11745670C2311yescharacteristic
254C2×#11745670C2311yescharacteristic
255C2×#11745671—42no—
256C2×#11745671C2311yescharacteristic
257C2×#11745671C2311yescharacteristic
258C2×#11745671C2311yescharacteristic
259C2×#11745671C2311yescharacteristic
260C2×#11745671C2311yescharacteristic
261C2×#11745671C2311yescharacteristic
262SD16×D59—42no—
263SD16×D59—42no—
264C2×#11745664C2311yescharacteristic
265C2×#11745659C2311yescharacteristic
266C2×#11745659C2311yescharacteristic
267C22×C59⋊C8C2311yescharacteristic
268C2×C8×D59C2311yescharacteristic
269C2×C8×D59C2311yescharacteristic
270#14273727—21no—
271#14273727C2311yescharacteristic
272#14273726—21no—
273#14273726—21no—
274#14273726—21no—
275#14273726—21no—
276#14273726—21no—
277#14273726—21no—
278#14273726C2311yescharacteristic
279#14273725—21no—
280#14273725—21no—
281#14273725C2311yescharacteristic
282#14273725C2311yescharacteristic
283#14273723—21no—
284#14273723C2311yescharacteristic
285#14273722—21no—
286#14273722—21no—
287#14273717—21no—
288#14273715—21no—
289#14273715C2311yescharacteristic
290#14273713—21no—
291#14273713—21no—
292#14273712—21no—
293#14273712—21no—
294#14273712—21no—
295#14273711—21no—
296#14273711—21no—
297#14273709—21no—
298#14273707—21no—
299#14273707—21no—
300#14273707C2311yescharacteristic
301#14273707C2311yescharacteristic
302#14273707C2311yescharacteristic
303#14273707C2311yescharacteristic
304#14273706—21no—
305#14273706—21no—
306#14273706—21no—
307#14273706C2311yescharacteristic
308#14273706C2311yescharacteristic
309#14273706C2311yescharacteristic
310#14273705—21no—
311#14273705—21no—
312#14273705—21no—
313#14273705—21no—
314#14273705—21no—
315#14273705—21no—
316#14273705—21no—
317#14273704—21no—
318#14273704—21no—
319#14273704—21no—
320#14273704—21no—
321#14273704—21no—
322#14273704—21no—
323#14273703—21no—
324#14273703—21no—
325#14273703C2311yescharacteristic
326#14273703C2311yescharacteristic
327#14273702—21no—
328#14273702—21no—
329#14273702—21no—
330#14273702C2311yescharacteristic
331#14273702C2311yescharacteristic
332#14273702C2311yescharacteristic
333#14273702C2311yescharacteristic
334#14273702C2311yescharacteristic
335#14273701—21no—
336#14273701C2311yescharacteristic
337#14273700—21no—
338#14273700—21no—
339#14273700—21no—
340#14273700—21no—
341#14273700—21no—
342#14273700—21no—
343#14273699—21no—
344#14273699—21no—
345#14273698C2311yescharacteristic
346#14273697—21no—
347#14273697—21no—
348#14273697—21no—
349#14273695—21no—
350#14273695—21no—
351#14273695—21no—
352Q8×Dic59C2311yescharacteristic
353C4×Dic118—21no—
354C4×Dic118C2311yescharacteristic
355#14273692—21no—
356#14273692C2311yescharacteristic
357#14273692C2311yescharacteristic
358C4×D236—21no—
359C4×D236—21no—
360C4×D236—21no—
361C4×D236C2311yescharacteristic
362C4×D236C2311yescharacteristic
363D4×Dic59—21no—
364D4×Dic59—21no—
365D4×Dic59D411yescharacteristic
366#14273689—21no—
367#14273689—21no—
368#14273689—21no—
369#14273689D411yescharacteristic
370#14273689C2311yescharacteristic
371C4×C22⋊D59—21no—
372C4×C22⋊D59—21no—
373C4×C22⋊D59—21no—
374C4×C22⋊D59—21no—
375C4×C22⋊D59C2311yescharacteristic
376C4×C22⋊D59C2311yescharacteristic
377(C22⋊D59)⋊C4—21no—
378(C22⋊D59)⋊C4—21no—
379(C22⋊D59)⋊C4—21no—
380(C22⋊D59)⋊C4—21no—
381(C22⋊D59)⋊C4D411yescharacteristic
382(C22⋊D59)⋊C4D411yescharacteristic
383#14273685—21no—
384#14273685C2311yescharacteristic
385#14273684—21no—
386C4⋊C4×D59—21no—
387C4⋊C4×D59—21no—
388C4⋊C4×D59—21no—
389C4⋊C4×D59—21no—
390C4⋊C4×D59—21no—
391C4⋊C4×D59D411yescharacteristic
392C4⋊C4×D59C2311yescharacteristic
393C4⋊C4×D59C2311yescharacteristic
394C2×(C2×D59)⋊C4—21no—
395C2×(C2×D59)⋊C4—21no—
396C22⋊C4×D59—21no—
397C22⋊C4×D59—21no—
398C22⋊C4×D59—21no—
399C22⋊C4×D59—21no—
400C22⋊C4×D59D411yescharacteristic
401C22⋊C4×D59D411yescharacteristic
402C42×D59—21no—
403C42×D59C2311yescharacteristic
404#14273661C2311yescharacteristic
405#14273660C2311yescharacteristic
406#14273660C2311yescharacteristic
407#14273660C2311yescharacteristic
408#14273658C2311yescharacteristic
409C4⋊(C59⋊C8)C2311yescharacteristic
410Dic59⋊C8C2311yescharacteristic
411Dic59⋊C8C2311yescharacteristic
412#14273652C2311yescharacteristic
413#14273652C2311yescharacteristic
414#14273652C2311yescharacteristic
415#14273652C2311yescharacteristic
416#14273651C2311yescharacteristic
417#14273651C2311yescharacteristic
418#14273651C2311yescharacteristic
419#14273650C2311yescharacteristic
420#14273650C2311yescharacteristic
421#14273650C2311yescharacteristic
422#14273650C2311yescharacteristic
423#14273650C2311yescharacteristic
424#14273650C2311yescharacteristic
425#14273650C2311yescharacteristic
426#14273650C2311yescharacteristic
427#14273650C2311yescharacteristic
428#14273650C2311yescharacteristic
429#14273649C2311yescharacteristic
430#14273649C2311yescharacteristic
431#14273648C2311yescharacteristic
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
447C22×Q8×C59C2311yescharacteristic
448C22×Q8×C59C2311yescharacteristic
449C2×SD16×C59C2311yescharacteristic
450C2×SD16×C59C2311yescharacteristic
451C2×SD16×C59C2311yescharacteristic
452C2×M16×C59C2311yescharacteristic
453C22×C8×C59C2311yescharacteristic
454C4⋊Q8×C59—21no—
455C4⋊Q8×C59C2311yescharacteristic
456#126×C59—21no—
457#125×C59C2311yescharacteristic
458#123×C59—21no—
459C22⋊Q8×C59—21no—
460C22⋊Q8×C59—21no—
461C22⋊Q8×C59C2311yescharacteristic
462C22⋊Q8×C59C2311yescharacteristic
463#121×C59—21no—
464#121×C59C2311yescharacteristic
465#121×C59C2311yescharacteristic
466C4×Q8×C59C2311yescharacteristic
467C4×D4×C59—21no—
468C4×D4×C59—21no—
469C4×D4×C59C2311yescharacteristic
470C4×D4×C59C2311yescharacteristic
471#117×C59C2311yescharacteristic
472C2×C4⋊C4×C59C2311yescharacteristic
473#107×C59C2311yescharacteristic
474#107×C59C2311yescharacteristic
475#106×C59C2311yescharacteristic
476C4⋊C8×C59C2311yescharacteristic
477#103×C59C2311yescharacteristic
478#103×C59C2311yescharacteristic
479#103×C59C2311yescharacteristic
480#103×C59C2311yescharacteristic
481#103×C59C2311yescharacteristic
482#103×C59C2311yescharacteristic
483#103×C59C2311yescharacteristic
484#103×C59C2311yescharacteristic
485#103×C59C2311yescharacteristic
486#102×C59C2311yescharacteristic
487C22⋊C8×C59C2311yescharacteristic
488C22⋊C8×C59C2311yescharacteristic
489#97×C59C2311yescharacteristic
490C23×D59—21no—
491C23×D59—21no—
492C23×D59C2×D411yescharacteristic
493C23×D59C2×D411yescharacteristic
494C2×Q8×C59—21no—
495C2×Q8×C59—21no—
496C2×Q8×C59—22no—
497C2×Q8×C59—22no—
498C2×Q8×C59—41no—
499C2×Q8×C59—41no—
500C2×Q8×C59C2411yescharacteristic
501C2×Q8×C59C2411yescharacteristic
502C2×Q8×C59C2411yescharacteristic
503C2×D4×C59—21no—
504C2×D4×C59—21no—
505C2×D4×C59C2×D411yescharacteristic
506C2×D4×C59C2411yescharacteristic
507C22×C4×C59—21no—
508C22×C4×C59—21no—
509C22×C4×C59—21no—
510C22×C4×C59—21no—
511C22×C4×C59C2411yescharacteristic
512C22×C4×C59C2411yescharacteristic
513C2×C22⋊D59—21no—
514C2×C22⋊D59—21no—
515C2×C22⋊D59—21no—
516C2×C22⋊D59—21no—
517C2×C22⋊D59—21no—
518C2×C22⋊D59—21no—
519C2×C22⋊D59—21no—
520C2×C22⋊D59C2×D411yescharacteristic
521C2×C22⋊D59C2×D411yescharacteristic
522C22×Dic59—21no—
523C22×Dic59—21no—
524C22×Dic59—21no—
525C22×Dic59C2×D411yescharacteristic
526C22×Dic59C2×D411yescharacteristic
527Q8×D59—22no—
528Q8×D59—22no—
529Q8×D59—22no—
530Q8×D59—22no—
531Q8×D59—22no—
532Q8×D59—22no—
533Q8×D59—41no—
534Q8×D59—41no—
535Q8×D59—41no—
536Q8×D59—41no—
537Q8×D59—41no—
538Q8×D59—41no—
539Q8×D59—41no—
540Q8×D59—41no—
541Q8×D59—44no—
542Q8×D59—44no—
543Q8×D59—44no—
544Q8×D59—44no—
545#11745687—41no—
546#11745687—41no—
547D4×D59—24no—
548D4×D59—41no—
549D4×D59—41no—
550D4×D59—44no—
551D4×D59—82no—
552#11745685—41no—
553#11745685—41no—
554#11745685—82no—
555C2×D236—21no—
556C2×D236—21no—
557C2×D236—21no—
558C2×D236—21no—
559C2×D236—21no—
560C2×D236—21no—
561C2×D236—41no—
562C2×D236—41no—
563C2×D236—82no—
564C2×D236C2×D411yescharacteristic
565C2×D236C2411yescharacteristic
566C2×D236C2411yescharacteristic
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—21no—
578C2×C4×D59—21no—
579C2×C4×D59—41no—
580C2×C4×D59—41no—
581C2×C4×D59—41no—
582C2×C4×D59—41no—
583C2×C4×D59—44no—
584C2×C4×D59—44no—
585C2×C4×D59C2×D411yescharacteristic
586C2×C4×D59C2×D411yescharacteristic
587C2×C4×D59C2×D411yescharacteristic
588C2×C4×D59C2×D411yescharacteristic
589C2×C4×D59C2×D411yescharacteristic
590C2×C4×D59C2×D411yescharacteristic
591C2×C4×D59C2411yescharacteristic
592C2×C4×D59C2411yescharacteristic
593C2×C4×D59C2411yescharacteristic
594C2×Dic118—21no—
595C2×Dic118—22no—
596C2×Dic118—22no—
597C2×Dic118—21no—
598C2×Dic118—21no—
599C2×Dic118—21no—
600C2×Dic118—21no—
601C2×Dic118—21no—
602C2×Dic118—21no—
603C2×Dic118—21no—
604C2×Dic118—21no—
605C2×Dic118—21no—
606C2×Dic118—41no—
607C2×Dic118—41no—
608C2×Dic118—44no—
609C2×Dic118—44no—
610C2×Dic118C2411yescharacteristic
611C2×Dic118C2411yescharacteristic
612C2×Dic118C2411yescharacteristic
613C2×Dic118C2411yescharacteristic
614SD16×C59—22no—
615SD16×C59—41no—
616SD16×C59—41no—
617M16×C59—41no—
618C2×C8×C59—41no—
619C2×C8×C59C2411yescharacteristic
620C2×C8×C59C2411yescharacteristic
621C2×C8×C59C2411yescharacteristic
622C2×C8×C59C2411yescharacteristic
623C4⋊C4×C59—21no—
624C4⋊C4×C59—21no—
625C4⋊C4×C59—21no—
626C4⋊C4×C59—21no—
627C4⋊C4×C59—21no—
628C4⋊C4×C59—21no—
629C4⋊C4×C59—21no—
630C4⋊C4×C59—21no—
631C4⋊C4×C59C2×D411yescharacteristic
632C4⋊C4×C59C2411yescharacteristic
633C4⋊C4×C59C2411yescharacteristic
634C4⋊C4×C59C2411yescharacteristic
635C4⋊C4×C59C2411yescharacteristic
636C22⋊C4×C59—21no—
637C22⋊C4×C59—21no—
638C22⋊C4×C59—21no—
639C22⋊C4×C59—21no—
640C22⋊C4×C59—21no—
641C22⋊C4×C59—21no—
642C22⋊C4×C59C2×D411yescharacteristic
643C22⋊C4×C59C2×D411yescharacteristic
644C42×C59—21no—
645C42×C59—21no—
646C42×C59C2411yescharacteristic
647C22⋊Dic59—21no—
648C22⋊Dic59—21no—
649C22⋊Dic59—21no—
650C22⋊Dic59—21no—
651C22⋊Dic59C2×D411yescharacteristic
652C22⋊Dic59C2×D411yescharacteristic
653#11745672—22no—
654#11745672—41no—
655#11745672—41no—
656#11745671—22no—
657#11745671—22no—
658#11745671—41no—
659#11745671—41no—
660#11745671—41no—
661#11745671—41no—
662#11745670—22no—
663#11745670—41no—
664#11745670—41no—
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)⋊C4—21no—
677(C2×D59)⋊C4—21no—
678(C2×D59)⋊C4—21no—
679(C2×D59)⋊C4—21no—
680(C2×D59)⋊C4—21no—
681(C2×D59)⋊C4—21no—
682(C2×D59)⋊C4C2×D411yescharacteristic
683(C2×D59)⋊C4C2×D411yescharacteristic
684(C2×D59)⋊C4C2×D411yescharacteristic
685(C2×D59)⋊C4C2×D411yescharacteristic
686C4⋊Dic59—21no—
687C4⋊Dic59—21no—
688C4⋊Dic59—21no—
689C4⋊Dic59—21no—
690C4⋊Dic59—21no—
691C4⋊Dic59—21no—
692C4⋊Dic59—21no—
693C4⋊Dic59C2×D411yescharacteristic
694C4⋊Dic59C2411yescharacteristic
695C4⋊Dic59C2411yescharacteristic
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⋊C4—21no—
707Dic59⋊C4—21no—
708Dic59⋊C4—21no—
709Dic59⋊C4—21no—
710Dic59⋊C4—21no—
711Dic59⋊C4C2×D411yescharacteristic
712Dic59⋊C4C2×D411yescharacteristic
713C4×Dic59—21no—
714C4×Dic59—21no—
715C4×Dic59—21no—
716C4×Dic59—21no—
717C4×Dic59—21no—
718C4×Dic59C2×D411yescharacteristic
719C4×Dic59C2×D411yescharacteristic
720C4×Dic59C2411yescharacteristic
721#11745664—41no—
722C2×C59⋊C8—41no—
723C2×C59⋊C8C2411yescharacteristic
724C2×C59⋊C8C2411yescharacteristic
725C2×C59⋊C8C2411yescharacteristic
726C2×C59⋊C8C2411yescharacteristic
727Dic236—22no—
728Dic236—41no—
729Dic236—41no—
730#11745660—22no—
731#11745660—22no—
732#11745660—41no—
733#11745660—41no—
734#11745660—41no—
735#11745660—41no—
736#11745659—41no—
737#11745659—41no—
738C8×D59—41no—
739C8×D59—41no—
740C23×C59—21no—
741C23×C59C22×D411yescharacteristic
742C23×C59C22×D411yescharacteristic
743C22×D59—22no—
744C22×D59—22no—
745C22×D59—22no—
746C22×D59—22no—
747C22×D59—21no—
748C22×D59—21no—
749C22×D59—41no—
750C22×D59—41no—
751C22×D59—42no—
752C22×D59—42no—
753C22×D59—81no—
754C22×D59—81no—
755C22×D59—81no—
756C22×D59—81no—
757C22×D59C22×D411yescharacteristic
758C22×D59C22×D411yescharacteristic
759C22×D59C22×D411yescharacteristic
760Q8×C59—21no—
761Q8×C59—21no—
762Q8×C59—21no—
763Q8×C59—21no—
764Q8×C59—21no—
765Q8×C59—42no—
766Q8×C59—42no—
767Q8×C59H(5,𝔽2)12yes—
768D4×C59—22no—
769D4×C59—21no—
770D4×C59—21no—
771D4×C59—42no—
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—21no—
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—42no—
795C22⋊D59—42no—
796C22⋊D59—81no—
797C22⋊D59—81no—
798C22⋊D59—81no—
799C22⋊D59—81no—
800C22⋊D59—81no—
801C22⋊D59#13714yescomplemented
802C2×Dic59—21no—
803C2×Dic59—21no—
804C2×Dic59—21no—
805C2×Dic59—21no—
806C2×Dic59—21no—
807C2×Dic59—21no—
808C2×Dic59—41no—
809C2×Dic59—41no—
810C2×Dic59—42no—
811C2×Dic59—42no—
812C2×Dic59—81no—
813C2×Dic59C22×D411yescharacteristic
814C2×Dic59C22×D411yescharacteristic
815C2×Dic59C22×D411yescharacteristic
816C2×Dic59C22×D411yescharacteristic
817C2×Dic59C22×D411yescharacteristic
818D236—22no—
819D236—21no—
820D236—21no—
821D236—21no—
822D236—21no—
823D236—42no—
824D236—42no—
825D236—42no—
826D236—81no—
827D236—81no—
828D236—81no—
829C4×D59—24no—
830C4×D59—22no—
831C4×D59—21no—
832C4×D59—21no—
833C4×D59—21no—
834C4×D59—21no—
835C4×D59—21no—
836C4×D59—21no—
837C4×D59—22no—
838C4×D59—41no—
839C4×D59—41no—
840C4×D59—41no—
841C4×D59—41no—
842C4×D59—42no—
843C4×D59—42no—
844C4×D59—42no—
845C4×D59—42no—
846C4×D59—42no—
847C4×D59—42no—
848C4×D59—42no—
849C4×D59—42no—
850C4×D59—81no—
851C4×D59—81no—
852C4×D59—81no—
853Dic118—24no—
854Dic118—21no—
855Dic118—21no—
856Dic118—21no—
857Dic118—21no—
858Dic118—21no—
859Dic118—21no—
860Dic118—21no—
861Dic118—42no—
862Dic118—42no—
863Dic118—42no—
864Dic118—42no—
865Dic118—42no—
866Dic118—42no—
867Dic118—42no—
868Dic118—42no—
869Dic118—81no—
870Dic118H(5,𝔽2)12yes—
871C8×C59—21no—
872C8×C59—21no—
873C8×C59—21no—
874C8×C59—21no—
875C59⋊C8—21no—
876C59⋊C8—21no—
877C59⋊C8—21no—
878C59⋊C8—21no—
879#61593—591nomaximal, Sylow
880C22×C59—21no—
881C22×C59—21no—
882C22×C59—21no—
883C22×C59—21no—
884C22×C59—21no—
885C22×C59—41no—
886C22×C59—41no—
887C22×C59—41no—
888C22×C59C2×#13712yes—
889C22×C59C23×D411yescharacteristic
890C2×D59—21no—
891C2×D59—21no—
892C2×D59—21no—
893C2×D59—21no—
894C2×D59—21no—
895C2×D59—21no—
896C2×D59—21no—
897C2×D59—44no—
898C2×D59—44no—
899C2×D59—41no—
900C2×D59—41no—
901C2×D59—41no—
902C2×D59—41no—
903C2×D59—41no—
904C2×D59—41no—
905C2×D59—162no—
906C2×D59—162no—
907C2×D59C2×#13712yes—
908C2×D59#57712yes—
909C4×C59—22no—
910C4×C59—21no—
911C4×C59—21no—
912C4×C59—21no—
913C4×C59—21no—
914C4×C59—41no—
915C4×C59—41no—
916C4×C59—41no—
917C4×C59—41no—
918C4×C59—41no—
919C4×C59—41no—
920C4×C59C2×H(5,𝔽2)11yescharacteristic
921C4×C59C2×H(5,𝔽2)11yescharacteristic
922Dic59—21no—
923Dic59—22no—
924Dic59—21no—
925Dic59—21no—
926Dic59—21no—
927Dic59—41no—
928Dic59—41no—
929Dic59—41no—
930Dic59—41no—
931Dic59—41no—
932Dic59C2×#13712yes—
933#3519—591no—
934C2×D4×Q8—591no—
935#3329—591no—
936#3329—591no—
937#3320—591no—
938#3320—591no—
939#3320—591no—
940#3320D5911yescharacteristic, complemented
941#3299—591no—
942#3299—591no—
943D4×SD16—591no—
944D4×SD16—591no—
945#3278—591no—
946#3278—591no—
947#3266—591no—
948#3266—591no—
949#3266—591no—
950#3266—591no—
951#3218—591no—
952#3206—591no—
953#3193—591no—
954#3193—591no—
955#3190—591no—
956#3190—591no—
957#3112—591no—
958#3108—591no—
959#3004—591no—
960#3004—591no—
961C2×#448—591no—
962C2×#448—591no—
963#2974—591no—
964C2×C59—22no—
965C2×C59—41no—
966C2×C59—81no—
967C2×C59#348411yescharacteristic
968C2×C59C22×#13711yescharacteristic
969C2×C59C2×#57711yescharacteristic
970D59—22no—
971D59—22no—
972D59—41no—
973D59—81no—
974D59—81no—
975C23×Q8—591no—
976C23×Q8—591no—
977C2×#137—591no—
978C2×#137—591no—
979C2×#137—591no—
980C2×#137—591no—
981C22×SD16—591no—
982C22×SD16—591no—
983C22×SD16—591no—
984C22×SD16—591no—
985#555—591no—
986#554—591no—
987#553—591no—
988#553—1181no—
989#553C2×D5911yescharacteristic
990#550—591no—
991D4×Q8—591no—
992D4×Q8—591no—
993D4×Q8—591no—
994D4×Q8—591no—
995D4×Q8—591no—
996D4×Q8—591no—
997D4×Q8—591no—
998D4×Q8—1181no—
999D4×Q8—1181no—
1000D4×Q8—1181no—
1001D4×Q8—1181no—
1002D4×Q8C2×D5911yescharacteristic, complemented
1003#546—591no—
1004#546—591no—
1005#546—1181no—
1006#546—1181no—
1007D42—591no—
1008D42—1181no—
1009#540—1181no—
1010#538—1181no—
1011#538—1181no—
1012#532—591no—
1013C2×C4⋊Q8—591no—
1014C2×C4⋊Q8—1181no—
1015#529—591no—
1016#525—591no—
1017#525—591no—
1018C2×C22⋊Q8—591no—
1019C2×C22⋊Q8—591no—
1020C2×C22⋊Q8—1181no—
1021C2×C22⋊Q8—1181no—
1022C2×#121—591no—
1023C2×#121—591no—
1024#518—1181no—
1025C2×C4×Q8—591no—
1026C2×C4×D4—591no—
1027C2×C4×D4—1181no—
1028#497—591no—
1029#497—591no—
1030#492—591no—
1031#492—591no—
1032#491—591no—
1033#491C2×D5911yescharacteristic, complemented
1034#487—591no—
1035#487—591no—
1036#485—591no—
1037#485—591no—
1038#485—591no—
1039#485C2×D5911yescharacteristic, complemented
1040#484—591no—
1041#484—591no—
1042#484—591no—
1043#484C2×D5911yescharacteristic, complemented
1044#483—591no—
1045#480—591no—
1046#480—591no—
1047#480—591no—
1048#479—591no—
1049#479C2×D5911yescharacteristic, complemented
1050#477—591no—
1051#477—591no—
1052#468—591no—
1053#468—591no—
1054#468—591no—
1055#468—591no—
1056#468—591no—
1057#468—591no—
1058#468—591no—
1059#468C2×D5911yescharacteristic, complemented
1060#467—591no—
1061#467—591no—
1062#467—591no—
1063#467—591no—
1064#465—591no—
1065#465—591no—
1066#465—591no—
1067#465C2×D5911yescharacteristic, complemented
1068#464—591no—
1069#464—591no—
1070#462—591no—
1071#462—591no—
1072#461—591no—
1073#461—591no—
1074#461—591no—
1075#461—591no—
1076#461—591no—
1077#461C2×D5911yescharacteristic, complemented
1078#460—591no—
1079#460—591no—
1080#452—591no—
1081#452—591no—
1082#452—591no—
1083#452—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#450—591no—
1095#448—591no—
1096#448—591no—
1097#448—591no—
1098#448—591no—
1099#448—591no—
1100#448—591no—
1101#448—591no—
1102#448—591no—
1103#448—591no—
1104#448—591no—
1105#448—591no—
1106#448—591no—
1107#448—591no—
1108#448—591no—
1109#448—591no—
1110#448—591no—
1111#448—591no—
1112#448—591no—
1113#448—591no—
1114#448C2×D5911yescharacteristic, complemented
1115#448C2×D5911yescharacteristic, complemented
1116#440—591no—
1117#440—591no—
1118#440—591no—
1119#440C2×D5911yescharacteristic, complemented
1120C4×Q16—591no—
1121C4×Q16—591no—
1122C4×SD16—591no—
1123C4×SD16—591no—
1124#436—591no—
1125#436—591no—
1126#435—591no—
1127#435—591no—
1128#435—591no—
1129#435C2×D5911yescharacteristic, complemented
1130C8×D4—591no—
1131C8×D4—591no—
1132#432—591no—
1133#431—591no—
1134#419—591no—
1135#419—591no—
1136#419—591no—
1137#419C2×D5911yescharacteristic, complemented
1138C2×#103—591no—
1139C2×#103—591no—
1140C2×#103—591no—
1141C2×#103C2×D5911yescharacteristic, complemented
1142#407—591no—
1143#407—591no—
1144C2×C22⋊C8—591no—
1145C2×C22⋊C8—591no—
1146C59#6159311yescharacteristic, complemented, Sylow
1147C2×#41—591no—
1148C2×#41—591no—
1149C2×#41—1181no—
1150C22×Q8—591no—
1151C22×Q8—591no—
1152C22×Q8—591no—
1153C22×Q8—591no—
1154C22×Q8—591no—
1155C22×Q8—591no—
1156C22×Q8—591no—
1157C22×Q8—591no—
1158C22×Q8—591no—
1159C22×Q8—1181no—
1160C22×Q8—1181no—
1161C22×Q8—1181no—
1162C22×Q8—1181no—
1163C22×Q8—1181no—
1164C22×Q8—1181no—
1165C22×Q8—2362no—
1166C22×Q8—2362no—
1167C22×Q8—2362no—
1168C22×Q8—2362no—
1169C22×Q8C22×D5911yescharacteristic
1170C22×Q8C22×D5911yescharacteristic
1171C22×D4—591no—
1172C22×D4—591no—
1173C22×D4—591no—
1174C22×D4—1181no—
1175C22×D4—1181no—
1176C22×D4—1181no—
1177C23×C4—591no—
1178C23×C4—591no—
1179C23×C4—1181no—
1180C23×C4—1181no—
1181#137—2362no—
1182#137—2362no—
1183#137—2362no—
1184#137—2362no—
1185C2×Q16—591no—
1186C2×Q16—591no—
1187C2×Q16—591no—
1188C2×Q16—591no—
1189C2×Q16—591no—
1190C2×Q16—591no—
1191C2×SD16—591no—
1192C2×SD16—591no—
1193C2×SD16—591no—
1194C2×SD16—591no—
1195C2×SD16—591no—
1196C2×SD16—591no—
1197C2×SD16—591no—
1198C2×SD16—591no—
1199C2×SD16—591no—
1200C2×SD16—591no—
1201C2×SD16—591no—
1202C2×SD16—591no—
1203C2×SD16—591no—
1204C2×SD16—591no—
1205C2×SD16—591no—
1206C2×SD16—2362no—
1207C2×SD16—2362no—
1208C2×SD16—2362no—
1209C2×SD16—2362no—
1210C2×SD16C22×D5911yescharacteristic
1211C2×SD16C22×D5911yescharacteristic
1212C2×SD16C22×D5911yescharacteristic
1213C2×M16—591no—
1214C2×M16—591no—
1215C2×M16—591no—
1216C2×M16C22×D5911yescharacteristic
1217C22×C8—591no—
1218C22×C8—591no—
1219C22×C8—591no—
1220C22×C8C22×D5911yescharacteristic
1221C4⋊Q8—21no—
1222C4⋊Q8—591no—
1223C4⋊Q8—591no—
1224C4⋊Q8—591no—
1225C4⋊Q8—591no—
1226C4⋊Q8—1181no—
1227C4⋊Q8—1181no—
1228C4⋊Q8—1181no—
1229C4⋊Q8—1181no—
1230C4⋊Q8—1181no—
1231C4⋊Q8—1181no—
1232C4⋊Q8—1181no—
1233C4⋊Q8—1181no—
1234C4⋊Q8—1181no—
1235C4⋊Q8C22×D5911yescharacteristic
1236#127—591no—
1237#127—1181no—
1238#126—21no—
1239#126—1181no—
1240#126—1181no—
1241#125—1181no—
1242#125C22×D5911yescharacteristic
1243#124—591no—
1244#124—1181no—
1245#124—1181no—
1246#124—1181no—
1247#123—21no—
1248#123—1181no—
1249#123—1181no—
1250#123—1181no—
1251#123—1181no—
1252#123—1181no—
1253#123—1181no—
1254C22⋊Q8—21no—
1255C22⋊Q8—21no—
1256C22⋊Q8—591no—
1257C22⋊Q8—591no—
1258C22⋊Q8—591no—
1259C22⋊Q8—591no—
1260C22⋊Q8—591no—
1261C22⋊Q8—591no—
1262C22⋊Q8—591no—
1263C22⋊Q8—591no—
1264C22⋊Q8—591no—
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⋊Q8—1181no—
1280C22⋊Q8—1181no—
1281C22⋊Q8—1181no—
1282C22⋊Q8—1181no—
1283C22⋊Q8—1181no—
1284C22⋊Q8—1181no—
1285C22⋊Q8C22×D5911yescharacteristic
1286C22⋊Q8C22×D5911yescharacteristic
1287#121—21no—
1288#121—591no—
1289#121—591no—
1290#121—591no—
1291#121—591no—
1292#121—591no—
1293#121—591no—
1294#121—591no—
1295#121—1181no—
1296#121—1181no—
1297#121—1181no—
1298#121—1181no—
1299#121—1181no—
1300#121—1181no—
1301#121—1181no—
1302#121—1181no—
1303#121—1181no—
1304#121—1181no—
1305#121—1181no—
1306#121—1181no—
1307#121C22×D5911yescharacteristic
1308#121C22×D5911yescharacteristic
1309#120—1181no—
1310#120—1181no—
1311#120—1181no—
1312#120—1181no—
1313#120—1181no—
1314#120—1181no—
1315C4×Q8—591no—
1316C4×Q8—591no—
1317C4×Q8—591no—
1318C4×Q8—591no—
1319C4×Q8—1181no—
1320C4×Q8—1181no—
1321C4×Q8C22×D5911yescharacteristic
1322C4×D4—21no—
1323C4×D4—21no—
1324C4×D4—591no—
1325C4×D4—591no—
1326C4×D4—591no—
1327C4×D4—591no—
1328C4×D4—591no—
1329C4×D4—591no—
1330C4×D4—591no—
1331C4×D4—591no—
1332C4×D4—591no—
1333C4×D4—1181no—
1334C4×D4—1181no—
1335C4×D4—1181no—
1336C4×D4—1181no—
1337C4×D4—1181no—
1338C4×D4—1181no—
1339C4×D4—1181no—
1340C4×D4—1181no—
1341C4×D4—1181no—
1342C4×D4—1181no—
1343C4×D4—1181no—
1344C4×D4—1181no—
1345C4×D4—1181no—
1346C4×D4—1181no—
1347C4×D4—1181no—
1348C4×D4—1181no—
1349C4×D4C22×D5911yescharacteristic
1350C4×D4C22×D5911yescharacteristic
1351#117—591no—
1352#117—1181no—
1353#117—1181no—
1354#117C22×D5911yescharacteristic
1355C2×C4⋊C4—591no—
1356C2×C4⋊C4—591no—
1357C2×C4⋊C4—591no—
1358C2×C4⋊C4—1181no—
1359C2×C4⋊C4—1181no—
1360C2×C4⋊C4—1181no—
1361C2×C4⋊C4—1181no—
1362C2×C4⋊C4—1181no—
1363C2×C4⋊C4C22×D5911yescharacteristic
1364C2×C22⋊C4—591no—
1365C2×C22⋊C4—591no—
1366C2×C22⋊C4—1181no—
1367C2×C22⋊C4—1181no—
1368C2×C22⋊C4—1181no—
1369C2×C22⋊C4—1181no—
1370C2×C22⋊C4—1181no—
1371C2×C22⋊C4—1181no—
1372C2×C42—591no—
1373C2×C42—1181no—
1374#107—591no—
1375#107—591no—
1376#107—591no—
1377#107—591no—
1378#107C22×D5911yescharacteristic
1379#107C22×D5911yescharacteristic
1380#106—591no—
1381#106C22×D5911yescharacteristic
1382C4⋊C8—591no—
1383C4⋊C8—591no—
1384C4⋊C8—591no—
1385C4⋊C8C22×D5911yescharacteristic
1386#103—591no—
1387#103—591no—
1388#103—591no—
1389#103—591no—
1390#103—591no—
1391#103—591no—
1392#103—591no—
1393#103—591no—
1394#103—591no—
1395#103—591no—
1396#103—591no—
1397#103—591no—
1398#103—591no—
1399#103—591no—
1400#103—591no—
1401#103—591no—
1402#103—591no—
1403#103C22×D5911yescharacteristic
1404#103C22×D5911yescharacteristic
1405#103C22×D5911yescharacteristic
1406#103C22×D5911yescharacteristic
1407#103C22×D5911yescharacteristic
1408#103C22×D5911yescharacteristic
1409#103C22×D5911yescharacteristic
1410#103C22×D5911yescharacteristic
1411#103C22×D5911yescharacteristic
1412#102—591no—
1413#102—591no—
1414#102—591no—
1415#102—591no—
1416#102—591no—
1417#102C22×D5911yescharacteristic
1418C22⋊C8—591no—
1419C22⋊C8—591no—
1420C22⋊C8—591no—
1421C22⋊C8—591no—
1422C22⋊C8—591no—
1423C22⋊C8—591no—
1424C22⋊C8—591no—
1425C22⋊C8—591no—
1426C22⋊C8—591no—
1427C22⋊C8—591no—
1428C22⋊C8C22×D5911yescharacteristic
1429C22⋊C8C22×D5911yescharacteristic
1430#97—591no—
1431#97C22×D5911yescharacteristic
1432C4×C8—591no—
1433C4×C8—591no—
1434C24—591no—
1435C24—591no—
1436C24—1181no—
1437C24—1181no—
1438#41—4722no—
1439#41—2361no—
1440#41—2361no—
1441#41—2361no—
1442#41—2361no—
1443C2×Q8—21no—
1444C2×Q8—21no—
1445C2×Q8—22no—
1446C2×Q8—22no—
1447C2×Q8—41no—
1448C2×Q8—41no—
1449C2×Q8—591no—
1450C2×Q8—591no—
1451C2×Q8—591no—
1452C2×Q8—591no—
1453C2×Q8—1181no—
1454C2×Q8—1181no—
1455C2×Q8—1181no—
1456C2×Q8—1181no—
1457C2×Q8—1181no—
1458C2×Q8—1181no—
1459C2×Q8—1181no—
1460C2×Q8—1181no—
1461C2×Q8—1182no—
1462C2×Q8—1182no—
1463C2×Q8—1182no—
1464C2×Q8—1182no—
1465C2×Q8—1181no—
1466C2×Q8—1181no—
1467C2×Q8—1182no—
1468C2×Q8—1182no—
1469C2×Q8—1182no—
1470C2×Q8—1182no—
1471C2×Q8—2361no—
1472C2×Q8—2361no—
1473C2×Q8—2364no—
1474C2×Q8—2364no—
1475C2×Q8—2361no—
1476C2×Q8—2361no—
1477C2×Q8—2361no—
1478C2×Q8—2361no—
1479C2×Q8—2361no—
1480C2×Q8—2361no—
1481C2×Q8—2361no—
1482C2×Q8—2361no—
1483C2×Q8—2364no—
1484C2×Q8—2364no—
1485C2×Q8—2364no—
1486C2×Q8—2364no—
1487C2×Q8C23×D5911yescharacteristic
1488C2×Q8C23×D5911yescharacteristic
1489C2×Q8C23×D5911yescharacteristic
1490C2×D4—21no—
1491C2×D4—21no—
1492C2×D4—591no—
1493C2×D4—591no—
1494C2×D4—591no—
1495C2×D4—591no—
1496C2×D4—591no—
1497C2×D4—1181no—
1498C2×D4—1181no—
1499C2×D4—1181no—
1500C2×D4—1181no—
1501C2×D4—1181no—
1502C2×D4—1181no—
1503C2×D4—1181no—
1504C2×D4—1181no—
1505C2×D4—1184no—
1506C2×D4—1181no—
1507C2×D4—1181no—
1508C2×D4—1181no—
1509C2×D4—1181no—
1510C2×D4—1181no—
1511C2×D4—4722no—
1512C2×D4—4722no—
1513C2×D4—2361no—
1514C2×D4—2361no—
1515C2×D4—2361no—
1516C2×D4—2361no—
1517C2×D4—2364no—
1518C2×D4D4×D5911yescharacteristic
1519C2×D4C23×D5911yescharacteristic
1520C22×C4—21no—
1521C22×C4—21no—
1522C22×C4—21no—
1523C22×C4—21no—
1524C22×C4—591no—
1525C22×C4—591no—
1526C22×C4—591no—
1527C22×C4—591no—
1528C22×C4—591no—
1529C22×C4—591no—
1530C22×C4—591no—
1531C22×C4—591no—
1532C22×C4—591no—
1533C22×C4—591no—
1534C22×C4—591no—
1535C22×C4—1181no—
1536C22×C4—1181no—
1537C22×C4—1181no—
1538C22×C4—1181no—
1539C22×C4—1181no—
1540C22×C4—1181no—
1541C22×C4—1181no—
1542C22×C4—1181no—
1543C22×C4—1181no—
1544C22×C4—1181no—
1545C22×C4—1181no—
1546C22×C4—1181no—
1547C22×C4—1181no—
1548C22×C4—1181no—
1549C22×C4—1181no—
1550C22×C4—2361no—
1551C22×C4—2361no—
1552C22×C4—2361no—
1553C22×C4—2361no—
1554C22×C4—2364no—
1555C22×C4—2364no—
1556C22×C4C23×D5911yescharacteristic
1557C22×C4C23×D5911yescharacteristic
1558Q16—1182no—
1559Q16—1182no—
1560Q16—2361no—
1561Q16—2361no—
1562Q16—2361no—
1563Q16—2361no—
1564SD16—22no—
1565SD16—41no—
1566SD16—41no—
1567SD16—1182no—
1568SD16—1182no—
1569SD16—1182no—
1570SD16—1182no—
1571SD16—1182no—
1572SD16—2361no—
1573SD16—2361no—
1574SD16—2361no—
1575SD16—2361no—
1576SD16—2361no—
1577SD16—2361no—
1578SD16—2361no—
1579SD16—2361no—
1580SD16—2361no—
1581SD16—2361no—
1582M16—41no—
1583M16—2361no—
1584M16—2361no—
1585M16—2361no—
1586C2×C8—41no—
1587C2×C8—591no—
1588C2×C8—591no—
1589C2×C8—591no—
1590C2×C8—591no—
1591C2×C8—2361no—
1592C2×C8—2361no—
1593C2×C8—2361no—
1594C2×C8C23×D5911yescharacteristic
1595C2×C8C23×D5911yescharacteristic
1596C2×C8C23×D5911yescharacteristic
1597C2×C8C23×D5911yescharacteristic
1598C4⋊C4—21no—
1599C4⋊C4—21no—
1600C4⋊C4—21no—
1601C4⋊C4—21no—
1602C4⋊C4—21no—
1603C4⋊C4—21no—
1604C4⋊C4—21no—
1605C4⋊C4—21no—
1606C4⋊C4—591no—
1607C4⋊C4—591no—
1608C4⋊C4—591no—
1609C4⋊C4—591no—
1610C4⋊C4—591no—
1611C4⋊C4—1181no—
1612C4⋊C4—1181no—
1613C4⋊C4—1181no—
1614C4⋊C4—1181no—
1615C4⋊C4—1181no—
1616C4⋊C4—1181no—
1617C4⋊C4—1181no—
1618C4⋊C4—1181no—
1619C4⋊C4—1181no—
1620C4⋊C4—1181no—
1621C4⋊C4—1181no—
1622C4⋊C4—1181no—
1623C4⋊C4—1181no—
1624C4⋊C4—1181no—
1625C4⋊C4—1181no—
1626C4⋊C4—1181no—
1627C4⋊C4—1181no—
1628C4⋊C4—1181no—
1629C4⋊C4—1181no—
1630C4⋊C4—1181no—
1631C4⋊C4—1181no—
1632C4⋊C4—1181no—
1633C4⋊C4D4×D5911yescharacteristic
1634C4⋊C4C23×D5911yescharacteristic
1635C4⋊C4C23×D5911yescharacteristic
1636C4⋊C4C23×D5911yescharacteristic
1637C4⋊C4C23×D5911yescharacteristic
1638C22⋊C4—21no—
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—21no—
1643C22⋊C4—21no—
1644C22⋊C4—591no—
1645C22⋊C4—591no—
1646C22⋊C4—591no—
1647C22⋊C4—591no—
1648C22⋊C4—591no—
1649C22⋊C4—591no—
1650C22⋊C4—1181no—
1651C22⋊C4—1181no—
1652C22⋊C4—1181no—
1653C22⋊C4—1181no—
1654C22⋊C4—1181no—
1655C22⋊C4—1181no—
1656C22⋊C4—1181no—
1657C22⋊C4—1181no—
1658C22⋊C4—1181no—
1659C22⋊C4—1181no—
1660C22⋊C4—1181no—
1661C22⋊C4—1181no—
1662C22⋊C4—1181no—
1663C22⋊C4—1181no—
1664C22⋊C4—1181no—
1665C22⋊C4—1181no—
1666C22⋊C4—1181no—
1667C22⋊C4—1181no—
1668C22⋊C4—1181no—
1669C22⋊C4—1181no—
1670C22⋊C4—1181no—
1671C22⋊C4D4×D5911yescharacteristic
1672C22⋊C4D4×D5911yescharacteristic
1673C42—21no—
1674C42—21no—
1675C42—591no—
1676C42—591no—
1677C42—591no—
1678C42—1181no—
1679C42—1181no—
1680C42—1181no—
1681C42—1181no—
1682C42—1181no—
1683C42C23×D5911yescharacteristic
1684C23—21no—
1685C23—591no—
1686C23—591no—
1687C23—591no—
1688C23—1182no—
1689C23—1182no—
1690C23—1182no—
1691C23—1182no—
1692C23—1181no—
1693C23—1181no—
1694C23—4721no—
1695C23—4721no—
1696C23—4721no—
1697C23—4721no—
1698C23—2361no—
1699C23—2361no—
1700C23—2362no—
1701C23—2362no—
1702C23C2×D4×D5911yescharacteristic
1703C23C2×D4×D5911yescharacteristic
1704Q8—21no—
1705Q8—21no—
1706Q8—21no—
1707Q8—21no—
1708Q8—21no—
1709Q8—42no—
1710Q8—42no—
1711Q8—592no—
1712Q8—1184no—
1713Q8—1181no—
1714Q8—1181no—
1715Q8—1181no—
1716Q8—1181no—
1717Q8—1181no—
1718Q8—1181no—
1719Q8—1181no—
1720Q8—4721no—
1721Q8—2362no—
1722Q8—2362no—
1723Q8—2362no—
1724Q8—2362no—
1725Q8—2362no—
1726Q8—2362no—
1727Q8—2362no—
1728Q8—2362no—
1729Q8#1427377312yes—
1730D4—22no—
1731D4—21no—
1732D4—21no—
1733D4—42no—
1734D4—81no—
1735D4—594no—
1736D4—1182no—
1737D4—1182no—
1738D4—1181no—
1739D4—1181no—
1740D4—1181no—
1741D4—1181no—
1742D4—4721no—
1743D4—4721no—
1744D4—4721no—
1745D4—4721no—
1746D4—4721no—
1747D4—4721no—
1748D4—4721no—
1749D4—4721no—
1750D4—2362no—
1751D4—2362no—
1752D4—2362no—
1753D4—2362no—
1754D4—2362no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—42no—
1767C2×C4—42no—
1768C2×C4—81no—
1769C2×C4—81no—
1770C2×C4—591no—
1771C2×C4—591no—
1772C2×C4—591no—
1773C2×C4—591no—
1774C2×C4—591no—
1775C2×C4—1182no—
1776C2×C4—1182no—
1777C2×C4—1184no—
1778C2×C4—1181no—
1779C2×C4—1181no—
1780C2×C4—1181no—
1781C2×C4—1181no—
1782C2×C4—1181no—
1783C2×C4—1181no—
1784C2×C4—1181no—
1785C2×C4—1181no—
1786C2×C4—1181no—
1787C2×C4—1181no—
1788C2×C4—1181no—
1789C2×C4—1181no—
1790C2×C4—4721no—
1791C2×C4—4721no—
1792C2×C4—4721no—
1793C2×C4—4721no—
1794C2×C4—2361no—
1795C2×C4—2361no—
1796C2×C4—2361no—
1797C2×C4—2361no—
1798C2×C4—2362no—
1799C2×C4—2362no—
1800C2×C4—2362no—
1801C2×C4—2362no—
1802C2×C4—2362no—
1803C2×C4—2362no—
1804C2×C4—2362no—
1805C2×C4—2362no—
1806C2×C4—2361no—
1807C2×C4—2361no—
1808C2×C4—2362no—
1809C2×C4—2362no—
1810C2×C4C2×D4×D5911yescharacteristic
1811C2×C4C2×D4×D5911yescharacteristic
1812C2×C4C2×D4×D5911yescharacteristic
1813C2×C4C2×D4×D5911yescharacteristic
1814C2×C4C24×D5911yescharacteristic
1815C8—21no—
1816C8—21no—
1817C8—21no—
1818C8—21no—
1819C8—1181no—
1820C8—1181no—
1821C8—1181no—
1822C8—1181no—
1823C22—21no—
1824C22—21no—
1825C22—21no—
1826C22—21no—
1827C22—21no—
1828C22—41no—
1829C22—41no—
1830C22—41no—
1831C22—592no—
1832C22—592no—
1833C22—1181no—
1834C22—1181no—
1835C22—1181no—
1836C22—1181no—
1837C22—1181no—
1838C22—1181no—
1839C22—1181no—
1840C22—9442no—
1841C22—9442no—
1842C22—2364no—
1843C22—2364no—
1844C22—2361no—
1845C22—2361no—
1846C22—2361no—
1847C22—2361no—
1848C22—2361no—
1849C22—2361no—
1850C22#137×D5912yes—
1851C22C22×D4×D5911yescharacteristic
1852C4—21no—
1853C4—21no—
1854C4—22no—
1855C4—21no—
1856C4—21no—
1857C4—41no—
1858C4—41no—
1859C4—41no—
1860C4—41no—
1861C4—41no—
1862C4—41no—
1863C4—592no—
1864C4—1181no—
1865C4—1181no—
1866C4—1181no—
1867C4—1182no—
1868C4—1181no—
1869C4—2361no—
1870C4—2361no—
1871C4—2361no—
1872C4—2361no—
1873C4—2361no—
1874C4H(5,𝔽2)×D5911yescharacteristic
1875C4C2×#1427377311yescharacteristic
1876C2—22no—
1877C2—41no—
1878C2—81no—
1879C2—1182no—
1880C2—1182no—
1881C2—4721no—
1882C2—4721no—
1883C2—2361no—
1884C2#2143772611yescharacteristic
1885C2C2×#137×D5911yescharacteristic
1886C2#577×D5911yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3320C2
socleC22×C59C23×D4
prime radical#21438121C2
hypercenter#3320D59
hypocenterC59#61593
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3320

Complements

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

NH ≅ G/Ntype
2. D4×Q8×D59C2semidirect
3. #21436388C2semidirect
4. #21436386C2semidirect
5. #21436266C2semidirect
6. #21436264C2semidirect
7. #21436261C2semidirect
8. #21435970C2semidirect
9. #21435968C2semidirect
10. #21435789C2semidirect
11. #21435785C2semidirect
12. #21435760C2semidirect
13. #21435759C2semidirect
14. #21435612C2semidirect
15. #21435611C2semidirect
16. #21435608C2semidirect
17. #21435607C2semidirect
18. #21435124C2semidirect
19. #21435020C2semidirect
20. #21434901C2semidirect
21. #21434897C2semidirect
22. #21434881C2semidirect
23. #21434872C2semidirect
24. #21434216C2semidirect
25. #21434181C2semidirect
26. #21433332C2semidirect
27. #21433327C2semidirect
28. C2×#16837542C2semidirect
29. #448×D59C2semidirect
30. #21433126C2semidirect
31. C59×#3320C2semidirect
32. C22×Q8×D59C22semidirect
33. C22×Q8×D59C22semidirect
34. C2×#14273760C22semidirect
35. C2×#14273758C22semidirect
36. C2×#14273756C22semidirect
37. C2×#14273756C22semidirect
38. C22×#11745660C22semidirect
39. C22×#11745671C22semidirect
40. C2×SD16×D59C22semidirect
41. C2×SD16×D59C22semidirect
47. Q8×D236C22semidirect
49. D4×Dic118C22semidirect
51. #16838067C22semidirect
53. Q8×C22⋊D59C22semidirect
57. #16838065C22semidirect
69. C4⋊Q8×D59C22semidirect
75. C22⋊Q8×D59C22semidirect
76. C22⋊Q8×D59C22semidirect
80. C4×Q8×D59C22semidirect
83. #16837796C22semidirect
84. #16837794C22semidirect
85. #16837773C22semidirect
86. #16837773C22semidirect
87. #16837772C22semidirect
88. #16837751C22semidirect
89. #16837751C22semidirect
90. #16837746C22semidirect
91. #16837743C22semidirect
92. #16837742C22semidirect
93. #16837739C22semidirect
94. #16837737C22semidirect
95. #16837736C22semidirect
96. #16837734C22semidirect
98. #16837717C22semidirect
99. #16837714C22semidirect
100. #16837706C22semidirect
101. #16837696C22semidirect
102. #16837695C22semidirect
103. #16837651C22semidirect
104. #16837651C22semidirect
105. #16837650C22semidirect
106. #16837649C22semidirect
107. #16837649C22semidirect
108. #16837648C22semidirect
109. #16837646C22semidirect
110. #16837644C22semidirect
111. #16837643C22semidirect
112. #16837642C22semidirect
113. #16837641C22semidirect
114. #16837634C22semidirect
115. #16837632C22semidirect
116. #16837629C22semidirect
117. #16837625C22semidirect
118. #16837624C22semidirect
119. #16837611C22semidirect
120. #16837611C22semidirect
121. #16837608C22semidirect
122. #16837607C22semidirect
123. #16837606C22semidirect
124. #16837606C22semidirect
125. #16837604C22semidirect
126. #16837601C22semidirect
127. #16837600C22semidirect
128. #16837566C22semidirect
129. #16837565C22semidirect
130. #16837562C22semidirect
131. #16837561C22semidirect
132. #16837560C22semidirect
133. #16837559C22semidirect
134. #16837559C22semidirect
135. #16837559C22semidirect
136. #16837559C22semidirect
137. #16837559C22semidirect
138. #16837558C22semidirect
139. #16837555C22semidirect
140. #16837554C22semidirect
141. #16837552C22semidirect
142. #16837551C22semidirect
143. #16837543C22semidirect
147. #16837542C22semidirect
148. #16837542C22semidirect
149. #16837542C22semidirect
150. #16837542C22semidirect
151. #16837542C22semidirect
152. #16837542C22semidirect
153. #16837542C22semidirect
154. #16837542C22semidirect
155. #16837542C22semidirect
156. #16837541C22semidirect
157. #16837540C22semidirect
158. #16837540C22semidirect
159. #16837539C22semidirect
160. #16837539C22semidirect
161. #16837539C22semidirect
162. #16837504C22semidirect
163. #16837502C22semidirect
164. #16837500C22semidirect
165. #16837496C22semidirect
166. #16837494C22semidirect
167. #16837489C22semidirect
168. #16837487C22semidirect
169. #16837478C22semidirect
170. #16837477C22semidirect
171. #16837475C22semidirect
172. #16837474C22semidirect
173. #16837472C22semidirect
176. #16837457C22semidirect
177. #16837454C22semidirect
178. #16837410C22semidirect
179. #16837409C22semidirect
180. #16837409C22semidirect
181. C2×#14273650C22semidirect
182. #103×D59C22semidirect
183. #103×D59C22semidirect
184. #16837365C22semidirect
185. #16837364C22semidirect
186. C2×(C2×D59)⋊C8C22semidirect
187. C22⋊C8×D59C22semidirect
189. D4×Q8×C59C22semidirect
190. C59×#491C22semidirect
191. C59×#485C22semidirect
192. C59×#484C22semidirect
193. C59×#479C22semidirect
194. C59×#468C22semidirect
195. C59×#465C22semidirect
196. C59×#461C22semidirect
197. C59×#448C22semidirect
198. C59×#448C22semidirect
199. C59×#440C22semidirect
200. C59×#435C22semidirect
201. C59×#419C22semidirect
202. C2×#103×C59C22semidirect
801. C22⋊D59#137semidirect
940. #3320D59semidirect
1002. D4×Q8C2×D59semidirect
1033. #491C2×D59semidirect
1039. #485C2×D59semidirect
1043. #484C2×D59semidirect
1049. #479C2×D59semidirect
1059. #468C2×D59semidirect
1067. #465C2×D59semidirect
1077. #461C2×D59semidirect
1114. #448C2×D59semidirect
1115. #448C2×D59semidirect
1119. #440C2×D59semidirect
1129. #435C2×D59semidirect
1137. #419C2×D59semidirect
1141. C2×#103C2×D59semidirect
1146. C59#61593semidirect

Maximal subgroups

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

subgroupindex
#214381212
D4×Q8×D592
#214363882
#214363862
#214362662
#214362642
#214362612
#214359702
#214359682
#214357892
#214357852
#214357602
#214357592
#214356122
#214356112
#214356082
#214356072
#214351242
#214350202
#214349012
#214348972
#214348812
#214348722
#214342162
#214341812
#214333322
#214333272
C2×#168375422
#448×D592
#214331262
C59×#33202
#6159359