Finite Group Databasebeta

← #29474300

Subgroups — #29474300

Order 15104.

2086 conjugacy classes of subgroups.

The subgroup lattice has 1882 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438412C211yesmaximal, characteristic, complemented
2#21436390C211yesmaximal, characteristic, complemented
3#21436349C211yesmaximal, characteristic, complemented
4#21436282C211yesmaximal, characteristic, complemented
5#21436267C211yesmaximal, characteristic, complemented
6#21436147C211yesmaximal, characteristic, complemented
7#21436087C211yesmaximal, characteristic, complemented
8#21435983C211yesmaximal, characteristic, complemented
9#21435961C211yesmaximal, characteristic, complemented
10#21435804C211yesmaximal, characteristic, complemented
11D4×#11745671C211yesmaximal, characteristic, complemented
12#21435758C211yesmaximal, characteristic, complemented
13#21435728C211yesmaximal, characteristic, complemented
14#21435682C211yesmaximal, characteristic, complemented
15#21435607C211yesmaximal, characteristic, complemented
16#21435607C211yesmaximal, characteristic, complemented
17#21435592C211yesmaximal, characteristic, complemented
18#21435205C211yesmaximal, characteristic, complemented
19#21435157C211yesmaximal, characteristic, complemented
20#21434978C211yesmaximal, characteristic, complemented
21#21434963C211yesmaximal, characteristic, complemented
22#21434906C211yesmaximal, characteristic, complemented
23#21434884C211yesmaximal, characteristic, complemented
24#21434387C211yesmaximal, characteristic, complemented
25#21434325C211yesmaximal, characteristic, complemented
26#21433411C211yesmaximal, characteristic, complemented
27#21433382C211yesmaximal, characteristic, complemented
28#21433330C211yesmaximal, characteristic, complemented
29C2×#16837541C211yesmaximal, characteristic, complemented
30#21433144C211yesmaximal, characteristic, complemented
31C59×#3486C211yesmaximal, characteristic, complemented
32C2×#14273758C2211yescharacteristic, complemented
33C2×#14273758C2211yescharacteristic, complemented
34C2×#14273758C2211yescharacteristic, complemented
35C2×#14273752C2211yescharacteristic, complemented
36C2×#14273747C2211yescharacteristic, complemented
37C22×#11745671C2211yescharacteristic
38C22×#11745671C2211yescharacteristic
39C22×#11745671C2211yescharacteristic, complemented
40#16838148—21no—
41#16838140—21no—
42#16838117C2211yescharacteristic
43#16838098C2211yescharacteristic
44#16838092C2211yescharacteristic
45#16838079—21no—
46#16838073C2211yescharacteristic
47#16838056C2211yescharacteristic
48#16838048C2211yescharacteristic
49#16838048C2211yescharacteristic
50#16838041—21no—
51D4×D236C2211yescharacteristic
52#16838023C2211yescharacteristic
53#16838007C2211yescharacteristic
54#16838004—21no—
55#16837988—21no—
56#16837980C2211yescharacteristic
57#16837967—21no—
58#16837966C2211yescharacteristic
59#16837962—21no—
60#16837913C2211yescharacteristic
61C2×#14273701C2211yescharacteristic
62#16837794C2211yescharacteristic, complemented
63#16837792C2211yescharacteristic, complemented
64#16837784C2211yescharacteristic, complemented
65#16837776C2211yescharacteristic, complemented
66#16837770C2211yescharacteristic, complemented
67#16837761C2211yescharacteristic, complemented
68#16837756C2211yescharacteristic, complemented
69#16837752C2211yescharacteristic, complemented
70#16837743C2211yescharacteristic, complemented
71#16837740C2211yescharacteristic, complemented
72#16837740C2211yescharacteristic, complemented
73#16837740C2211yescharacteristic, complemented
74#16837735C2211yescharacteristic, complemented
75#16837730C2211yescharacteristic, complemented
76#16837730C2211yescharacteristic, complemented
77#16837726C2211yescharacteristic
78#16837726C2211yescharacteristic, complemented
79#16837726C2211yescharacteristic, complemented
80#16837723C2211yescharacteristic, complemented
81#16837713C2211yescharacteristic, complemented
82#16837709C2211yescharacteristic, complemented
83#16837709C2211yescharacteristic, complemented
84#16837697C2211yescharacteristic, complemented
85#16837687C2211yescharacteristic, complemented
86#16837658C2211yescharacteristic, complemented
87#16837653C2211yescharacteristic
88#16837653C2211yescharacteristic, complemented
89#16837650C2211yescharacteristic
90#16837650C2211yescharacteristic, complemented
91#16837650C2211yescharacteristic, complemented
92#16837650C2211yescharacteristic, complemented
93#16837650C2211yescharacteristic, complemented
94#16837641C2211yescharacteristic, complemented
95#16837641C2211yescharacteristic, complemented
96#16837636C2211yescharacteristic
97#16837633C2211yescharacteristic
98#16837633C2211yescharacteristic, complemented
99#16837633C2211yescharacteristic, complemented
100#16837633C2211yescharacteristic, complemented
101#16837629C2211yescharacteristic, complemented
102#16837624C2211yescharacteristic, complemented
103#16837624C2211yescharacteristic, complemented
104#16837621C2211yescharacteristic, complemented
105#16837614C2211yescharacteristic, complemented
106#16837614C2211yescharacteristic, complemented
107#16837614C2211yescharacteristic, complemented
108#16837609C2211yescharacteristic, complemented
109#16837604C2211yescharacteristic, complemented
110#16837604C2211yescharacteristic, complemented
111#16837604C2211yescharacteristic, complemented
112#16837602C2211yescharacteristic, complemented
113#16837602C2211yescharacteristic, complemented
114#16837564C2211yescharacteristic, complemented
115#16837564C2211yescharacteristic, complemented
116#16837562C2211yescharacteristic, complemented
117#16837562C2211yescharacteristic, complemented
118#16837562C2211yescharacteristic, complemented
119#16837558C2211yescharacteristic, complemented
120#16837558C2211yescharacteristic, complemented
121#16837558C2211yescharacteristic, complemented
122#16837558C2211yescharacteristic, complemented
123#16837558C2211yescharacteristic, complemented
124#16837552C2211yescharacteristic
125#16837552C2211yescharacteristic, complemented
126#16837552C2211yescharacteristic, complemented
127#16837547C2211yescharacteristic
128#16837547C2211yescharacteristic, complemented
129#16837547C2211yescharacteristic, complemented
130#16837547C2211yescharacteristic, complemented
131#16837547C2211yescharacteristic, complemented
132#16837547C2211yescharacteristic, complemented
133#16837545C2211yescharacteristic, complemented
134#16837541C2211yescharacteristic
135#16837541C2211yescharacteristic
136#16837541C2211yescharacteristic
137#16837541C2211yescharacteristic
138#16837541C2211yescharacteristic
139#16837541C2211yescharacteristic
140#16837541C2211yescharacteristic, complemented
141#16837541C2211yescharacteristic, complemented
142#16837541C2211yescharacteristic, complemented
143#16837541C2211yescharacteristic, complemented
144#16837541C2211yescharacteristic, complemented
145#16837541C2211yescharacteristic, complemented
146#16837541C2211yescharacteristic, complemented
147#16837541C2211yescharacteristic, complemented
148#16837541C2211yescharacteristic, complemented
149#16837535C2211yescharacteristic
150#16837507C2211yescharacteristic, complemented
151#16837500C2211yescharacteristic, complemented
152#16837500C2211yescharacteristic, complemented
153#16837500C2211yescharacteristic, complemented
154C4×#11745672C2211yescharacteristic, complemented
155C4×#11745671C2211yescharacteristic, complemented
156C4×#11745671C2211yescharacteristic, complemented
157C4×#11745671C2211yescharacteristic, complemented
158#16837480C2211yescharacteristic, complemented
159#16837480C2211yescharacteristic, complemented
160#16837474C2211yescharacteristic
161#16837474C2211yescharacteristic, complemented
162#16837474C2211yescharacteristic, complemented
163#16837474C2211yescharacteristic, complemented
164D4×C59⋊C8C2211yescharacteristic
165D4×C59⋊C8C2211yescharacteristic, complemented
166#16837463C2211yescharacteristic, complemented
167#16837463C2211yescharacteristic, complemented
168#16837411C2211yescharacteristic, complemented
169#16837411C2211yescharacteristic, complemented
170#16837411C2211yescharacteristic, complemented
171#16837403C2211yescharacteristic, complemented
172#16837398C2211yescharacteristic, complemented
173C2×#14273651C2211yescharacteristic, complemented
174C2×#14273651C2211yescharacteristic, complemented
175C2×#14273651C2211yescharacteristic, complemented
176#16837369C2211yescharacteristic, complemented
177#16837369C2211yescharacteristic, complemented
178#16837366C2211yescharacteristic, complemented
179C2×C22⋊(C59⋊C8)C2211yescharacteristic, complemented
180C2×2−1+4×C59C2211yescharacteristic, complemented
181C23×Q8×C59C2211yescharacteristic, complemented
182D4×Q8×C59—21no—
183D4×Q8×C59—21no—
184D4×Q8×C59C2211yescharacteristic
185D4×Q8×C59C2211yescharacteristic, complemented
186D4×Q8×C59C2211yescharacteristic, complemented
187D4×Q8×C59C2211yescharacteristic, complemented
188C59×#548—21no—
189C59×#548—21no—
190C59×#548C2211yescharacteristic
191C59×#548C2211yescharacteristic, complemented
192C59×#548C2211yescharacteristic, complemented
193C59×#548C2211yescharacteristic, complemented
194C59×#536—21no—
195C59×#536—21no—
196C59×#536C2211yescharacteristic, complemented
197C59×#536C2211yescharacteristic, complemented
198C59×#525—21no—
199C59×#525—21no—
200C59×#525C2211yescharacteristic
201C59×#525C2211yescharacteristic, complemented
202C59×#519C2211yescharacteristic, complemented
203C2×#11745685C2311yescharacteristic
204C2×#11745685C2311yescharacteristic
205C2×#11745687—21no—
206C22×D236C2311yescharacteristic
207C22×D236C2311yescharacteristic
208C22×C22⋊D59—21no—
209C2×D4×D59—21no—
210#14273758—42no—
211#14273758—42no—
212#14273758—42no—
213#14273752—42no—
214#14273747—42no—
215C2×#11745672C2311yescharacteristic
216C2×#11745672C2311yescharacteristic
217C2×#11745672C2311yescharacteristic
218C2×#11745672C2311yescharacteristic
219C2×#11745672C2311yescharacteristic
220C2×#11745670C2311yescharacteristic
221C2×#11745671—42no—
222C2×#11745671—42no—
223C2×#11745671—42no—
224C2×#11745671C2311yescharacteristic
225C2×#11745671C2311yescharacteristic
226C2×#11745671C2311yescharacteristic
227C2×#11745671C2311yescharacteristic
228C2×#11745671C2311yescharacteristic
229C2×#11745671C2311yescharacteristic
230C2×#11745671C2311yescharacteristic
231C2×#11745671C2311yescharacteristic
232C2×#11745671C2311yescharacteristic
233C2×#11745671C2311yescharacteristic
234C2×#11745671C2311yescharacteristic
235C2×#11745671C2311yescharacteristic
236C2×#11745671C2311yescharacteristic
237C2×#11745671C2311yescharacteristic
238C2×#11745671C2311yescharacteristic
239C2×#11745669C2311yescharacteristic
240C2×#11745669C2311yescharacteristic
241C2×#11745669C2311yescharacteristic
242C2×#11745664C2311yescharacteristic
243C2×#11745664C2311yescharacteristic
244C2×#11745664C2311yescharacteristic
245C2×#11745664C2311yescharacteristic
246C22×C59⋊C8C2311yescharacteristic
247C22×C59⋊C8C2311yescharacteristic
248C22×C59⋊C8C2311yescharacteristic
249C22×C59⋊C8C2311yescharacteristic
250#14273727C2311yescharacteristic
251#14273724C2311yescharacteristic
252#14273723—21no—
253#14273723—21no—
254#14273722—21no—
255#14273722—21no—
256#14273720—21no—
257#14273719C2311yescharacteristic
258#14273717—21no—
259#14273716—21no—
260#14273715C2311yescharacteristic
261#14273713—21no—
262#14273713—21no—
263#14273713—21no—
264#14273712—21no—
265#14273712—21no—
266#14273712—21no—
267#14273712—21no—
268#14273711—21no—
269#14273711—21no—
270#14273710—21no—
271#14273709—21no—
272#14273709—21no—
273#14273708—21no—
274#14273707—21no—
275#14273706C2311yescharacteristic
276#14273706C2311yescharacteristic
277#14273706C2311yescharacteristic
278#14273705—21no—
279#14273703—21no—
280#14273702—21no—
281#14273701—21no—
282#14273701—21no—
283#14273701C2311yescharacteristic
284#14273701C2311yescharacteristic
285#14273701C2311yescharacteristic
286#14273701C2311yescharacteristic
287#14273701C2311yescharacteristic
288#14273701C2311yescharacteristic
289#14273701C2311yescharacteristic
290#14273701C2311yescharacteristic
291#14273701C2311yescharacteristic
292#14273700—21no—
293#14273700—21no—
294#14273700—21no—
295#14273700—21no—
296#14273700—21no—
297#14273700—21no—
298#14273699—21no—
299#14273699—21no—
300#14273699—21no—
301#14273698—21no—
302#14273698—21no—
303#14273697—21no—
304#14273697—21no—
305#14273696—21no—
306#14273695—21no—
307#14273695—21no—
308#14273695—21no—
309#14273695—21no—
310C4×Dic118C2311yescharacteristic
311C4×D236C2311yescharacteristic
312C4×D236C2311yescharacteristic
313C4×D236C2311yescharacteristic
314#14273689—21no—
315C4×C22⋊D59—21no—
316C4×C22⋊D59—21no—
317(C22⋊D59)⋊C4—21no—
318#14273686C2311yescharacteristic
319#14273686C2311yescharacteristic
320#14273685—21no—
321#14273683—21no—
322C2×C4⋊Dic59C2311yescharacteristic
323C2×C4⋊Dic59C2311yescharacteristic
324C2×(C2×D59)⋊C4—21no—
325C22⋊C4×D59—21no—
326C22⋊C4×D59—21no—
327#14273660C2311yescharacteristic
328#14273660C2311yescharacteristic
329#14273660C2311yescharacteristic
330#14273660C2311yescharacteristic
331#14273658C2311yescharacteristic
332#14273658C2311yescharacteristic
333#14273658C2311yescharacteristic
334#14273658C2311yescharacteristic
335C4⋊(C59⋊C8)C2311yescharacteristic
336C4⋊(C59⋊C8)C2311yescharacteristic
337C4⋊(C59⋊C8)C2311yescharacteristic
338C4⋊(C59⋊C8)C2311yescharacteristic
339#14273651C2311yescharacteristic
340#14273651C2311yescharacteristic
341#14273651C2311yescharacteristic
342#14273651C2311yescharacteristic
343#14273651C2311yescharacteristic
344#14273651C2311yescharacteristic
345#14273651C2311yescharacteristic
346#14273651C2311yescharacteristic
347#14273651C2311yescharacteristic
348#14273651C2311yescharacteristic
349#14273651C2311yescharacteristic
350#14273651C2311yescharacteristic
351#14273651C2311yescharacteristic
352#14273651C2311yescharacteristic
353#14273651C2311yescharacteristic
354#14273651C2311yescharacteristic
355#14273651C2311yescharacteristic
356#14273651C2311yescharacteristic
357#14273651C2311yescharacteristic
358#14273651C2311yescharacteristic
359#14273650C2311yescharacteristic
360#14273650C2311yescharacteristic
361#14273648C2311yescharacteristic
362#14273648C2311yescharacteristic
363#14273648C2311yescharacteristic
364#14273648C2311yescharacteristic
365#14273647C2311yescharacteristic
366#14273647C2311yescharacteristic
367#14273647C2311yescharacteristic
368#14273647C2311yescharacteristic
369#14273647C2311yescharacteristic
370#14273647C2311yescharacteristic
371C22⋊(C59⋊C8)C2311yescharacteristic
372C22⋊(C59⋊C8)C2311yescharacteristic
373C22⋊(C59⋊C8)C2311yescharacteristic
374C22⋊(C59⋊C8)C2311yescharacteristic
375C22⋊(C59⋊C8)C2311yescharacteristic
376C22⋊(C59⋊C8)C2311yescharacteristic
377C22⋊(C59⋊C8)C2311yescharacteristic
378C22⋊(C59⋊C8)C2311yescharacteristic
379C22⋊(C59⋊C8)C2311yescharacteristic
380C22⋊(C59⋊C8)C2311yescharacteristic
381C22⋊(C59⋊C8)C2311yescharacteristic
382C22⋊(C59⋊C8)C2311yescharacteristic
383#14273638C2311yescharacteristic
384#14273638C2311yescharacteristic
385C4×C59⋊C8C2311yescharacteristic
386C4×C59⋊C8C2311yescharacteristic
3872−1+4×C59—42no—
3882−1+4×C59—42no—
389C2×#41×C59—21no—
390C2×#41×C59—21no—
391C2×#41×C59—21no—
392C2×#41×C59C2311yescharacteristic
393C2×#41×C59C2311yescharacteristic
394C2×#41×C59C2311yescharacteristic
395C2×#41×C59C2311yescharacteristic
396C22×Q8×C59—21no—
397C22×Q8×C59—21no—
398C22×Q8×C59—21no—
399C22×Q8×C59—21no—
400C22×Q8×C59—42no—
401C22×Q8×C59—42no—
402C22×Q8×C59C2311yescharacteristic
403C22×Q8×C59C2311yescharacteristic
404C22×Q8×C59C2311yescharacteristic
405C22×Q8×C59C2311yescharacteristic
406C22×Q8×C59C2311yescharacteristic
407C22×Q8×C59C2311yescharacteristic
408C22×Q8×C59C2311yescharacteristic
409C22×Q8×C59C2311yescharacteristic
410C23×C4×C59—21no—
411C23×C4×C59C2311yescharacteristic
412C4⋊Q8×C59—21no—
413C4⋊Q8×C59—21no—
414C4⋊Q8×C59—21no—
415C4⋊Q8×C59—21no—
416C4⋊Q8×C59—21no—
417C4⋊Q8×C59C2311yescharacteristic
418C4⋊Q8×C59C2311yescharacteristic
419#124×C59—21no—
420#124×C59—21no—
421#124×C59—21no—
422#124×C59—21no—
423#124×C59—21no—
424#124×C59C2311yescharacteristic
425#124×C59C2311yescharacteristic
426#123×C59—21no—
427#123×C59—21no—
428#123×C59—21no—
429#123×C59—21no—
430#123×C59—21no—
431#123×C59D411yescharacteristic
432#123×C59D411yescharacteristic
433C22⋊Q8×C59—21no—
434C22⋊Q8×C59—21no—
435C22⋊Q8×C59—21no—
436C22⋊Q8×C59—21no—
437C22⋊Q8×C59—21no—
438C22⋊Q8×C59—21no—
439C22⋊Q8×C59—21no—
440C22⋊Q8×C59—21no—
441C22⋊Q8×C59—21no—
442C22⋊Q8×C59—21no—
443C22⋊Q8×C59—21no—
444C22⋊Q8×C59—21no—
445C22⋊Q8×C59—21no—
446C22⋊Q8×C59—21no—
447C22⋊Q8×C59D411yescharacteristic
448C22⋊Q8×C59D411yescharacteristic
449C22⋊Q8×C59C2311yescharacteristic
450C22⋊Q8×C59C2311yescharacteristic
451C22⋊Q8×C59C2311yescharacteristic
452C22⋊Q8×C59C2311yescharacteristic
453C22⋊Q8×C59C2311yescharacteristic
454C22⋊Q8×C59C2311yescharacteristic
455#121×C59—21no—
456#121×C59—21no—
457#121×C59—21no—
458#121×C59—21no—
459#121×C59D411yescharacteristic
460#121×C59D411yescharacteristic
461#121×C59C2311yescharacteristic
462#121×C59C2311yescharacteristic
463#120×C59—21no—
464#120×C59D411yescharacteristic
465#120×C59D411yescharacteristic
466C4×Q8×C59—21no—
467C4×Q8×C59—21no—
468C4×Q8×C59C2311yescharacteristic
469C4×Q8×C59C2311yescharacteristic
470C4×Q8×C59C2311yescharacteristic
471C4×Q8×C59C2311yescharacteristic
472C4×D4×C59—21no—
473C4×D4×C59—21no—
474C4×D4×C59—21no—
475C4×D4×C59—21no—
476C4×D4×C59—21no—
477C4×D4×C59—21no—
478C4×D4×C59—21no—
479C4×D4×C59—21no—
480C4×D4×C59—21no—
481C4×D4×C59—21no—
482C4×D4×C59C2311yescharacteristic
483C4×D4×C59C2311yescharacteristic
484C4×D4×C59C2311yescharacteristic
485C4×D4×C59C2311yescharacteristic
486#117×C59—21no—
487#117×C59—21no—
488#117×C59C2311yescharacteristic
489#117×C59C2311yescharacteristic
490C24×C59C2×D411yescharacteristic
491C23×D59—21no—
492C23×D59—21no—
493#41×C59—22no—
494#41×C59—22no—
495#41×C59—41no—
496#41×C59—41no—
497#41×C59—41no—
498#41×C59—41no—
499#41×C59—41no—
500#41×C59—41no—
501#41×C59—44no—
502#41×C59—44no—
503#41×C59—44no—
504C2×Q8×C59—22no—
505C2×Q8×C59—22no—
506C2×Q8×C59—21no—
507C2×Q8×C59—21no—
508C2×Q8×C59—21no—
509C2×Q8×C59—21no—
510C2×Q8×C59—21no—
511C2×Q8×C59—21no—
512C2×Q8×C59—21no—
513C2×Q8×C59—21no—
514C2×Q8×C59—22no—
515C2×Q8×C59—22no—
516C2×Q8×C59—22no—
517C2×Q8×C59—22no—
518C2×Q8×C59—22no—
519C2×Q8×C59—22no—
520C2×Q8×C59—41no—
521C2×Q8×C59—41no—
522C2×Q8×C59—41no—
523C2×Q8×C59—41no—
524C2×Q8×C59—41no—
525C2×Q8×C59—41no—
526C2×Q8×C59—41no—
527C2×Q8×C59—41no—
528C2×Q8×C59—44no—
529C2×Q8×C59—44no—
530C2×Q8×C59—44no—
531C2×Q8×C59—44no—
532C2×Q8×C59C2×D411yescharacteristic
533C2×Q8×C59C2411yescharacteristic
534C2×Q8×C59C2411yescharacteristic
535C2×Q8×C59C2411yescharacteristic
536C2×Q8×C59C2411yescharacteristic
537C2×Q8×C59C2411yescharacteristic
538C2×D4×C59—21no—
539C2×D4×C59—21no—
540C2×D4×C59—21no—
541C2×D4×C59—21no—
542C2×D4×C59—21no—
543C2×D4×C59C2×D411yescharacteristic
544C2×D4×C59C2×D411yescharacteristic
545C2×D4×C59C2×D411yescharacteristic
546C2×D4×C59C2×D411yescharacteristic
547C2×D4×C59C2×D411yescharacteristic
548C2×D4×C59C2×D411yescharacteristic
549C2×D4×C59C2×D411yescharacteristic
550C2×D4×C59C2411yescharacteristic
551C22×C4×C59—21no—
552C22×C4×C59—21no—
553C22×C4×C59—21no—
554C22×C4×C59—21no—
555C22×C4×C59—21no—
556C22×C4×C59—21no—
557C22×C4×C59—21no—
558C22×C4×C59—21no—
559C22×C4×C59—21no—
560C22×C4×C59—21no—
561C22×C4×C59—21no—
562C22×C4×C59—41no—
563C22×C4×C59—41no—
564C22×C4×C59—44no—
565C22×C4×C59C2×D411yescharacteristic
566C22×C4×C59C2×D411yescharacteristic
567C22×C4×C59C2×D411yescharacteristic
568C22×C4×C59C2411yescharacteristic
569C22×C4×C59C2411yescharacteristic
570C22×C4×C59C2411yescharacteristic
571C22×C4×C59C2411yescharacteristic
572C22×C4×C59C2411yescharacteristic
573C2×C22⋊D59—21no—
574C2×C22⋊D59—21no—
575C2×C22⋊D59—21no—
576C2×C22⋊D59—21no—
577C2×C22⋊D59—21no—
578C2×C22⋊D59—21no—
579C2×C22⋊D59—21no—
580C2×C22⋊D59—21no—
581C2×C22⋊D59—21no—
582C2×C22⋊D59—21no—
583C2×C22⋊D59—21no—
584C2×C22⋊D59—82no—
585C22×Dic59—21no—
586C22×Dic59—21no—
587#11745687—82no—
588D4×D59—82no—
589#11745685—41no—
590#11745685—41no—
591#11745685—41no—
592#11745685—41no—
593C2×D236—21no—
594C2×D236—21no—
595C2×D236—21no—
596C2×D236—21no—
597C2×D236—41no—
598C2×D236—41no—
599C2×D236—41no—
600C2×D236—41no—
601C2×D236C2411yescharacteristic
602C2×D236C2411yescharacteristic
603C2×D236C2411yescharacteristic
604C2×C4×D59—21no—
605C2×C4×D59—21no—
606C2×C4×D59—21no—
607C2×C4×D59—21no—
608C2×C4×D59—21no—
609C2×Dic118—21no—
610C2×Dic118C2411yescharacteristic
611C4⋊C4×C59—21no—
612C4⋊C4×C59—21no—
613C4⋊C4×C59—21no—
614C4⋊C4×C59—21no—
615C4⋊C4×C59—21no—
616C4⋊C4×C59—21no—
617C4⋊C4×C59—21no—
618C4⋊C4×C59—21no—
619C4⋊C4×C59—21no—
620C4⋊C4×C59—21no—
621C4⋊C4×C59—21no—
622C4⋊C4×C59—21no—
623C4⋊C4×C59—21no—
624C4⋊C4×C59—21no—
625C4⋊C4×C59C2×D411yescharacteristic
626C4⋊C4×C59C2×D411yescharacteristic
627C4⋊C4×C59C2×D411yescharacteristic
628C4⋊C4×C59C2×D411yescharacteristic
629C4⋊C4×C59C2×D411yescharacteristic
630C4⋊C4×C59C2×D411yescharacteristic
631C4⋊C4×C59C2411yescharacteristic
632C4⋊C4×C59C2411yescharacteristic
633C22⋊C4×C59—21no—
634C22⋊C4×C59—21no—
635C22⋊C4×C59—21no—
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×C59—21no—
643C22⋊C4×C59—21no—
644C22⋊C4×C59—21no—
645C22⋊C4×C59—21no—
646C22⋊C4×C59C2×D411yescharacteristic
647C22⋊C4×C59C2×D411yescharacteristic
648C22⋊C4×C59C2×D411yescharacteristic
649C22⋊C4×C59C2×D411yescharacteristic
650C22⋊C4×C59C2×D411yescharacteristic
651C22⋊C4×C59C2×D411yescharacteristic
652C22⋊C4×C59C2×D411yescharacteristic
653C22⋊C4×C59C2×D411yescharacteristic
654C22⋊C4×C59C2×D411yescharacteristic
655C22⋊C4×C59C2×D411yescharacteristic
656C42×C59—21no—
657C42×C59—21no—
658C42×C59—21no—
659C42×C59—21no—
660C42×C59—21no—
661C42×C59C2411yescharacteristic
662C42×C59C2411yescharacteristic
663C22⋊Dic59—21no—
664C22⋊Dic59—21no—
665C22⋊Dic59—21no—
666C22⋊Dic59—21no—
667C22⋊Dic59—21no—
668#11745672—22no—
669#11745672—22no—
670#11745672—41no—
671#11745672—41no—
672#11745672—41no—
673#11745671—22no—
674#11745671—22no—
675#11745671—22no—
676#11745671—22no—
677#11745671—22no—
678#11745671—22no—
679#11745671—41no—
680#11745671—41no—
681#11745671—41no—
682#11745671—41no—
683#11745671—41no—
684#11745671—41no—
685#11745671—41no—
686#11745671—41no—
687#11745671—41no—
688#11745670—41no—
689#11745669—41no—
690#11745669—41no—
691#11745669—41no—
692(C2×D59)⋊C4—21no—
693(C2×D59)⋊C4—21no—
694(C2×D59)⋊C4—21no—
695(C2×D59)⋊C4—21no—
696(C2×D59)⋊C4—21no—
697(C2×D59)⋊C4—21no—
698(C2×D59)⋊C4—21no—
699(C2×D59)⋊C4—21no—
700(C2×D59)⋊C4—21no—
701(C2×D59)⋊C4—21no—
702(C2×D59)⋊C4—21no—
703(C2×D59)⋊C4—21no—
704(C2×D59)⋊C4—21no—
705(C2×D59)⋊C4—21no—
706C4⋊Dic59—21no—
707C4⋊Dic59—21no—
708C4⋊Dic59—21no—
709C4⋊Dic59C2411yescharacteristic
710C4⋊Dic59C2411yescharacteristic
711C4⋊Dic59C2411yescharacteristic
712C4⋊Dic59C2411yescharacteristic
713Dic59⋊C4—21no—
714Dic59⋊C4—21no—
715Dic59⋊C4—21no—
716Dic59⋊C4—21no—
717Dic59⋊C4—21no—
718Dic59⋊C4—21no—
719C4×Dic59—21no—
720C4×Dic59—21no—
721C4×Dic59—21no—
722#11745664—41no—
723#11745664—41no—
724#11745664—41no—
725#11745664—41no—
726C2×C59⋊C8—41no—
727C2×C59⋊C8—41no—
728C2×C59⋊C8—41no—
729C2×C59⋊C8—41no—
730C2×C59⋊C8C2411yescharacteristic
731C2×C59⋊C8C2411yescharacteristic
732C2×C59⋊C8C2411yescharacteristic
733C2×C59⋊C8C2411yescharacteristic
734C2×C59⋊C8C2411yescharacteristic
735C2×C59⋊C8C2411yescharacteristic
736C2×C59⋊C8C2411yescharacteristic
737C2×C59⋊C8C2411yescharacteristic
738C23×C59—22no—
739C23×C59—21no—
740C23×C59—41no—
741C23×C59—41no—
742C23×C59C22×D411yescharacteristic
743C23×C59C22×D411yescharacteristic
744C23×C59C22×D411yescharacteristic
745C23×C59C22×D411yescharacteristic
746C23×C59C22×D411yescharacteristic
747C22×D59—21no—
748C22×D59—21no—
749C22×D59—21no—
750C22×D59—42no—
751C22×D59—81no—
752C22×D59—81no—
753C22×D59—81no—
754C22×D59—81no—
755C22×D59—81no—
756Q8×C59—24no—
757Q8×C59—21no—
758Q8×C59—21no—
759Q8×C59—21no—
760Q8×C59—21no—
761Q8×C59—21no—
762Q8×C59—21no—
763Q8×C59—21no—
764Q8×C59—21no—
765Q8×C59—41no—
766Q8×C59—42no—
767Q8×C59—42no—
768Q8×C59—42no—
769Q8×C59—42no—
770Q8×C59—42no—
771Q8×C59—42no—
772Q8×C59—42no—
773Q8×C59H(5,𝔽2)12yes—
774Q8×C59H(5,𝔽2)12yes—
775D4×C59—22no—
776D4×C59—22no—
777D4×C59—21no—
778D4×C59—21no—
779D4×C59—41no—
780D4×C59—41no—
781D4×C59—41no—
782D4×C59—41no—
783D4×C59—41no—
784D4×C59—42no—
785D4×C59—42no—
786D4×C59—42no—
787D4×C59—42no—
788D4×C59—42no—
789C2×C4×C59—24no—
790C2×C4×C59—21no—
791C2×C4×C59—21no—
792C2×C4×C59—21no—
793C2×C4×C59—21no—
794C2×C4×C59—21no—
795C2×C4×C59—21no—
796C2×C4×C59—21no—
797C2×C4×C59—21no—
798C2×C4×C59—21no—
799C2×C4×C59—21no—
800C2×C4×C59—21no—
801C2×C4×C59—21no—
802C2×C4×C59—21no—
803C2×C4×C59—21no—
804C2×C4×C59—21no—
805C2×C4×C59—21no—
806C2×C4×C59—21no—
807C2×C4×C59—41no—
808C2×C4×C59—41no—
809C2×C4×C59—41no—
810C2×C4×C59—42no—
811C2×C4×C59—42no—
812C2×C4×C59—42no—
813C2×C4×C59—42no—
814C2×C4×C59—42no—
815C2×C4×C59—42no—
816C2×C4×C59—42no—
817C2×C4×C59—42no—
818C2×C4×C59—42no—
819C2×C4×C59—42no—
820C2×C4×C59C22×D411yescharacteristic
821C2×C4×C59C22×D411yescharacteristic
822C2×C4×C59C22×D411yescharacteristic
823C2×C4×C59C22×D411yescharacteristic
824C2×C4×C59C22×D411yescharacteristic
825C2×C4×C59C22×D411yescharacteristic
826C2×C4×C59C22×D411yescharacteristic
827C2×C4×C59C22×D411yescharacteristic
828C2×C4×C59C22×D411yescharacteristic
829C2×C4×C59C2511yescharacteristic
830C22⋊D59—42no—
831C22⋊D59—81no—
832C22⋊D59—81no—
833C22⋊D59—81no—
834C22⋊D59—81no—
835C22⋊D59—81no—
836C22⋊D59—81no—
837C22⋊D59—81no—
838C22⋊D59—81no—
839C22⋊D59—81no—
840C22⋊D59—81no—
841C2×Dic59—21no—
842C2×Dic59—21no—
843C2×Dic59—21no—
844C2×Dic59—21no—
845C2×Dic59—21no—
846C2×Dic59—42no—
847C2×Dic59—81no—
848D236—21no—
849D236—21no—
850D236—21no—
851D236—21no—
852D236—21no—
853D236—21no—
854D236—81no—
855D236—81no—
856D236—81no—
857D236—81no—
858C4×D59—81no—
859C4×D59—81no—
860C4×D59—81no—
861C4×D59—81no—
862C4×D59—81no—
863Dic118—21no—
864Dic118—21no—
865Dic118—81no—
866C59⋊C8—21no—
867C59⋊C8—21no—
868C59⋊C8—21no—
869C59⋊C8—21no—
870C59⋊C8—21no—
871C59⋊C8—21no—
872C59⋊C8—21no—
873C59⋊C8—21no—
874#61611—591nomaximal, Sylow
875C22×C59—21no—
876C22×C59—21no—
877C22×C59—21no—
878C22×C59—21no—
879C22×C59—21no—
880C22×C59—21no—
881C22×C59—21no—
882C22×C59—21no—
883C22×C59—21no—
884C22×C59—21no—
885C22×C59—21no—
886C22×C59—21no—
887C22×C59—21no—
888C22×C59—21no—
889C22×C59—44no—
890C22×C59—41no—
891C22×C59—41no—
892C22×C59—41no—
893C22×C59#57712yes—
894C22×C59C23×D411yescharacteristic
895C2×D59—41no—
896C2×D59—41no—
897C2×D59—41no—
898C2×D59—41no—
899C2×D59—41no—
900C2×D59—41no—
901C2×D59—41no—
902C2×D59—41no—
903C2×D59—41no—
904C2×D59—162no—
905C2×D59—162no—
906C4×C59—21no—
907C4×C59—21no—
908C4×C59—21no—
909C4×C59—21no—
910C4×C59—21no—
911C4×C59—21no—
912C4×C59—22no—
913C4×C59—22no—
914C4×C59—21no—
915C4×C59—21no—
916C4×C59—21no—
917C4×C59—41no—
918C4×C59—41no—
919C4×C59—41no—
920C4×C59—41no—
921C4×C59—41no—
922C4×C59C2×H(5,𝔽2)11yescharacteristic
923C4×C59C2×H(5,𝔽2)11yescharacteristic
924Dic59—41no—
925Dic59—41no—
926Dic59—41no—
927Dic59—41no—
928Dic59—41no—
929#3542—591no—
930#3486D5911yescharacteristic, complemented
931#3329—591no—
932#3326—591no—
933#3321—591no—
934#3320—591no—
935#3312—591no—
936#3308—591no—
937#3300—591no—
938#3298—591no—
939#3282—591no—
940D4×SD16—591no—
941#3278—591no—
942#3275—591no—
943#3271—591no—
944#3266—591no—
945#3266—591no—
946#3265—591no—
947#3225—591no—
948#3221—591no—
949#3201—591no—
950#3200—591no—
951#3194—591no—
952#3191—591no—
953#3126—591no—
954#3121—591no—
955#3013—591no—
956#3010—591no—
957#3004—591no—
958C2×#448—591no—
959#2976—591no—
960C2×C59—22no—
961C2×C59—41no—
962C2×C59—41no—
963C2×C59—41no—
964C2×C59—41no—
965C2×C59—81no—
966C2×C59#348411yescharacteristic
967C2×C59C2×#57711yescharacteristic
968C2×C59#358611yescharacteristic
969D59—81no—
970D59—81no—
971D59—81no—
972C2×2−1+4C2×D5911yescharacteristic, complemented
973C23×Q8C2×D5911yescharacteristic, complemented
974C2×#137—591no—
975C2×#137—591no—
976C2×#137—591no—
977C2×AGL(1,ℤ/8)—591no—
978C2×#135—591no—
979C22×SD16—591no—
980C22×SD16—591no—
981C22×SD16—591no—
982#562—1181no—
983#560—1181no—
984#555—591no—
985#553—591no—
986#552—591no—
987#551—1181no—
988#550—591no—
989D4×Q8—21no—
990D4×Q8—21no—
991D4×Q8C2×D5911yescharacteristic
992D4×Q8C2×D5911yescharacteristic, complemented
993D4×Q8C2×D5911yescharacteristic, complemented
994D4×Q8C2×D5911yescharacteristic, complemented
995#548—21no—
996#548—21no—
997#548C2×D5911yescharacteristic
998#548C2×D5911yescharacteristic, complemented
999#548C2×D5911yescharacteristic, complemented
1000#548C2×D5911yescharacteristic, complemented
1001#547—591no—
1002#546—591no—
1003#546—591no—
1004#546—1181no—
1005D42—591no—
1006#542—591no—
1007#540—591no—
1008#540—1181no—
1009#538—1181no—
1010#537—591no—
1011#536—21no—
1012#536—21no—
1013#536C2×D5911yescharacteristic, complemented
1014#536C2×D5911yescharacteristic, complemented
1015#535—591no—
1016#535—1181no—
1017#534—1181no—
1018#525—21no—
1019#525—21no—
1020#525—591no—
1021#525C2×D5911yescharacteristic
1022#525C2×D5911yescharacteristic, complemented
1023C2×#121—591no—
1024#519C2×D5911yescharacteristic, complemented
1025#497—591no—
1026#496—591no—
1027#495—591no—
1028#492—591no—
1029#491—591no—
1030#489—591no—
1031#488—591no—
1032#487—591no—
1033#485—591no—
1034#485—591no—
1035#485—591no—
1036#485—591no—
1037#484—591no—
1038#483—591no—
1039#483—591no—
1040#482—591no—
1041#482—591no—
1042#482—591no—
1043#482—591no—
1044#480—591no—
1045#479—591no—
1046#479—591no—
1047#477—591no—
1048#475—591no—
1049#470—591no—
1050#469—591no—
1051#469—591no—
1052#468—591no—
1053#468—591no—
1054#468—591no—
1055#468—591no—
1056#468—591no—
1057#467—591no—
1058#467—591no—
1059#466—591no—
1060#465—591no—
1061#465—591no—
1062#465—591no—
1063#465—591no—
1064#465—591no—
1065#464—591no—
1066#464—591no—
1067#464—591no—
1068#463—591no—
1069#463—591no—
1070#463—591no—
1071#462—591no—
1072#461—591no—
1073#461—591no—
1074#461—591no—
1075#460—591no—
1076#460—591no—
1077#452—591no—
1078#452—591no—
1079#452—591no—
1080#452—591no—
1081#452—591no—
1082#451—591no—
1083#451—591no—
1084#451—591no—
1085#451—591no—
1086#451—591no—
1087#450—591no—
1088#450—591no—
1089#450—591no—
1090#449—591no—
1091#449—591no—
1092#449—591no—
1093#449—591no—
1094#449—591no—
1095#449—591no—
1096#449—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#447—591no—
1113#441—591no—
1114#440—591no—
1115#440—591no—
1116#440—591no—
1117C4×Q16—591no—
1118C4×SD16—591no—
1119C4×SD16—591no—
1120C4×SD16—591no—
1121#436—591no—
1122#436—591no—
1123#435—591no—
1124#435—591no—
1125#435—591no—
1126#435—591no—
1127C8×D4—591no—
1128C8×D4—591no—
1129#433—591no—
1130#433—591no—
1131#419—591no—
1132#419—591no—
1133#419—591no—
1134#417—591no—
1135#416—591no—
1136C2×#103—591no—
1137C2×#103—591no—
1138C2×#103—591no—
1139#408—591no—
1140#408—591no—
1141#407—591no—
1142C2×C22⋊C8—591no—
1143C59#6161111yescharacteristic, complemented, Sylow
11442−1+4—42no—
11452−1+4—42no—
1146C2×#41—21no—
1147C2×#41—21no—
1148C2×#41—21no—
1149C2×#41—591no—
1150C2×#41—591no—
1151C2×#41—1181no—
1152C2×#41C22×D5911yescharacteristic
1153C2×#41C22×D5911yescharacteristic
1154C2×#41C22×D5911yescharacteristic
1155C2×#41C22×D5911yescharacteristic
1156C22×Q8—21no—
1157C22×Q8—21no—
1158C22×Q8—21no—
1159C22×Q8—21no—
1160C22×Q8—42no—
1161C22×Q8—42no—
1162C22×Q8C22×D5911yescharacteristic
1163C22×Q8C22×D5911yescharacteristic
1164C22×Q8C22×D5911yescharacteristic
1165C22×Q8C22×D5911yescharacteristic
1166C22×Q8C22×D5911yescharacteristic
1167C22×Q8C22×D5911yescharacteristic
1168C22×Q8C22×D5911yescharacteristic
1169C22×Q8C22×D5911yescharacteristic
1170C22×D4—591no—
1171C22×D4—591no—
1172C22×D4—1181no—
1173C22×D4—1181no—
1174C23×C4—21no—
1175C23×C4C22×D5911yescharacteristic
1176#137—2362no—
1177#137—2362no—
1178#137—2362no—
1179AGL(1,ℤ/8)—2362no—
1180#135—2362no—
1181C2×Q16—591no—
1182C2×Q16—591no—
1183C2×Q16—591no—
1184C2×Q16—591no—
1185C2×Q16—591no—
1186C2×SD16—591no—
1187C2×SD16—591no—
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×SD16—591no—
1197C2×SD16—591no—
1198C2×SD16—591no—
1199C2×SD16—591no—
1200C2×SD16—591no—
1201C2×SD16—591no—
1202C2×SD16—2362no—
1203C2×SD16—2362no—
1204C2×SD16—2362no—
1205C2×D8—591no—
1206C2×D8—591no—
1207C2×D8—591no—
1208C2×M16—591no—
1209C2×M16—591no—
1210C2×M16—591no—
1211C2×M16—591no—
1212C22×C8—591no—
1213C22×C8—591no—
1214C22×C8—591no—
1215C22×C8—591no—
1216C4⋊Q8—21no—
1217C4⋊Q8—21no—
1218C4⋊Q8—21no—
1219C4⋊Q8—21no—
1220C4⋊Q8—21no—
1221C4⋊Q8—591no—
1222C4⋊Q8C22×D5911yescharacteristic
1223C4⋊Q8C22×D5911yescharacteristic
1224#127—591no—
1225#127—1181no—
1226#127—1181no—
1227#126—1181no—
1228#126—1181no—
1229#126—1181no—
1230#125—591no—
1231#125—1181no—
1232#124—21no—
1233#124—21no—
1234#124—21no—
1235#124—21no—
1236#124—21no—
1237#124—591no—
1238#124—1181no—
1239#124—1181no—
1240#124—1181no—
1241#124—1181no—
1242#124C22×D5911yescharacteristic
1243#124C22×D5911yescharacteristic
1244#123—21no—
1245#123—21no—
1246#123—21no—
1247#123—21no—
1248#123—21no—
1249#123—1181no—
1250#123—1181no—
1251#123—1181no—
1252#123—1181no—
1253#123—1181no—
1254#123—1181no—
1255#123—1181no—
1256#123—1181no—
1257#123—1181no—
1258#123—1181no—
1259#123C22⋊D5911yescharacteristic
1260#123C22⋊D5911yescharacteristic
1261C22⋊Q8—21no—
1262C22⋊Q8—21no—
1263C22⋊Q8—21no—
1264C22⋊Q8—21no—
1265C22⋊Q8—21no—
1266C22⋊Q8—21no—
1267C22⋊Q8—21no—
1268C22⋊Q8—21no—
1269C22⋊Q8—21no—
1270C22⋊Q8—21no—
1271C22⋊Q8—21no—
1272C22⋊Q8—21no—
1273C22⋊Q8—21no—
1274C22⋊Q8—21no—
1275C22⋊Q8—591no—
1276C22⋊Q8—591no—
1277C22⋊Q8—591no—
1278C22⋊Q8—1181no—
1279C22⋊Q8—1181no—
1280C22⋊Q8—1181no—
1281C22⋊Q8C22⋊D5911yescharacteristic
1282C22⋊Q8C22⋊D5911yescharacteristic
1283C22⋊Q8C22×D5911yescharacteristic
1284C22⋊Q8C22×D5911yescharacteristic
1285C22⋊Q8C22×D5911yescharacteristic
1286C22⋊Q8C22×D5911yescharacteristic
1287C22⋊Q8C22×D5911yescharacteristic
1288C22⋊Q8C22×D5911yescharacteristic
1289#121—21no—
1290#121—21no—
1291#121—21no—
1292#121—21no—
1293#121—591no—
1294#121—591no—
1295#121—591no—
1296#121—591no—
1297#121—591no—
1298#121—591no—
1299#121—591no—
1300#121—591no—
1301#121—591no—
1302#121—1181no—
1303#121—1181no—
1304#121—1181no—
1305#121—1181no—
1306#121—1181no—
1307#121—1181no—
1308#121—1181no—
1309#121—1181no—
1310#121—1181no—
1311#121—1181no—
1312#121—1181no—
1313#121—1181no—
1314#121—1181no—
1315#121—1181no—
1316#121C22⋊D5911yescharacteristic
1317#121C22⋊D5911yescharacteristic
1318#121C22×D5911yescharacteristic
1319#121C22×D5911yescharacteristic
1320#120—21no—
1321#120—1181no—
1322#120—1181no—
1323#120—1181no—
1324#120—1181no—
1325#120—1181no—
1326#120—1181no—
1327#120—1181no—
1328#120C22⋊D5911yescharacteristic
1329#120C22⋊D5911yescharacteristic
1330C4×Q8—21no—
1331C4×Q8—21no—
1332C4×Q8—591no—
1333C4×Q8C22×D5911yescharacteristic
1334C4×Q8C22×D5911yescharacteristic
1335C4×Q8C22×D5911yescharacteristic
1336C4×Q8C22×D5911yescharacteristic
1337C4×D4—21no—
1338C4×D4—21no—
1339C4×D4—21no—
1340C4×D4—21no—
1341C4×D4—21no—
1342C4×D4—21no—
1343C4×D4—21no—
1344C4×D4—21no—
1345C4×D4—21no—
1346C4×D4—21no—
1347C4×D4—591no—
1348C4×D4—591no—
1349C4×D4—591no—
1350C4×D4—1181no—
1351C4×D4—1181no—
1352C4×D4—1181no—
1353C4×D4—1181no—
1354C4×D4C22×D5911yescharacteristic
1355C4×D4C22×D5911yescharacteristic
1356C4×D4C22×D5911yescharacteristic
1357C4×D4C22×D5911yescharacteristic
1358#117—21no—
1359#117—21no—
1360#117—591no—
1361#117—591no—
1362#117—1181no—
1363#117—1181no—
1364#117C22×D5911yescharacteristic
1365#117C22×D5911yescharacteristic
1366C2×C4⋊C4—591no—
1367C2×C4⋊C4—591no—
1368C2×C22⋊C4—1181no—
1369C2×C22⋊C4—1181no—
1370C2×C22⋊C4—1181no—
1371#107—591no—
1372#107—591no—
1373#107—591no—
1374#107—591no—
1375#106—591no—
1376#106—591no—
1377#106—591no—
1378#106—591no—
1379C4⋊C8—591no—
1380C4⋊C8—591no—
1381C4⋊C8—591no—
1382C4⋊C8—591no—
1383#103—591no—
1384#103—591no—
1385#103—591no—
1386#103—591no—
1387#103—591no—
1388#103—591no—
1389#103—591no—
1390#103—591no—
1391#103—591no—
1392#103—591no—
1393#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#103—591no—
1404#103—591no—
1405#102—591no—
1406#102—591no—
1407#102—591no—
1408#102—591no—
1409#102—591no—
1410#102—591no—
1411#102—591no—
1412#102—591no—
1413#102—591no—
1414#102—591no—
1415C22⋊C8—591no—
1416C22⋊C8—591no—
1417C22⋊C8—591no—
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—
1427#97—591no—
1428#97—591no—
1429C4×C8—591no—
1430C4×C8—591no—
1431C24—1181no—
1432C24—1181no—
1433C24C2×C22⋊D5911yescharacteristic
1434#41—22no—
1435#41—22no—
1436#41—41no—
1437#41—41no—
1438#41—41no—
1439#41—41no—
1440#41—41no—
1441#41—41no—
1442#41—44no—
1443#41—44no—
1444#41—44no—
1445#41—4722no—
1446#41—2361no—
1447#41—2361no—
1448#41—2361no—
1449#41—2361no—
1450C2×Q8—22no—
1451C2×Q8—22no—
1452C2×Q8—21no—
1453C2×Q8—21no—
1454C2×Q8—21no—
1455C2×Q8—21no—
1456C2×Q8—21no—
1457C2×Q8—21no—
1458C2×Q8—21no—
1459C2×Q8—21no—
1460C2×Q8—22no—
1461C2×Q8—22no—
1462C2×Q8—22no—
1463C2×Q8—22no—
1464C2×Q8—22no—
1465C2×Q8—22no—
1466C2×Q8—41no—
1467C2×Q8—41no—
1468C2×Q8—41no—
1469C2×Q8—41no—
1470C2×Q8—41no—
1471C2×Q8—41no—
1472C2×Q8—41no—
1473C2×Q8—41no—
1474C2×Q8—44no—
1475C2×Q8—44no—
1476C2×Q8—44no—
1477C2×Q8—44no—
1478C2×Q8—591no—
1479C2×Q8—1181no—
1480C2×Q8C2×C22⋊D5911yescharacteristic
1481C2×Q8C23×D5911yescharacteristic
1482C2×Q8C23×D5911yescharacteristic
1483C2×Q8C23×D5911yescharacteristic
1484C2×Q8C23×D5911yescharacteristic
1485C2×Q8C23×D5911yescharacteristic
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—21no—
1489C2×D4—21no—
1490C2×D4—21no—
1491C2×D4—591no—
1492C2×D4—591no—
1493C2×D4—591no—
1494C2×D4—1181no—
1495C2×D4—1181no—
1496C2×D4—1181no—
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—1181no—
1506C2×D4—1181no—
1507C2×D4—1181no—
1508C2×D4—1181no—
1509C2×D4—4722no—
1510C2×D4—4722no—
1511C2×D4—2361no—
1512C2×D4—2361no—
1513C2×D4—2361no—
1514C2×D4—2361no—
1515C2×D4C2×C22⋊D5911yescharacteristic
1516C2×D4C2×C22⋊D5911yescharacteristic
1517C2×D4C2×C22⋊D5911yescharacteristic
1518C2×D4C2×C22⋊D5911yescharacteristic
1519C2×D4C2×C22⋊D5911yescharacteristic
1520C2×D4C2×C22⋊D5911yescharacteristic
1521C2×D4C2×C22⋊D5911yescharacteristic
1522C2×D4C23×D5911yescharacteristic
1523C22×C4—21no—
1524C22×C4—21no—
1525C22×C4—21no—
1526C22×C4—21no—
1527C22×C4—21no—
1528C22×C4—21no—
1529C22×C4—21no—
1530C22×C4—21no—
1531C22×C4—21no—
1532C22×C4—21no—
1533C22×C4—21no—
1534C22×C4—41no—
1535C22×C4—41no—
1536C22×C4—44no—
1537C22×C4—1181no—
1538C22×C4—1181no—
1539C22×C4—1181no—
1540C22×C4—1181no—
1541C22×C4—1181no—
1542C22×C4—1181no—
1543C22×C4—1181no—
1544C22×C4C2×C22⋊D5911yescharacteristic
1545C22×C4C2×C22⋊D5911yescharacteristic
1546C22×C4C2×C22⋊D5911yescharacteristic
1547C22×C4C23×D5911yescharacteristic
1548C22×C4C23×D5911yescharacteristic
1549C22×C4C23×D5911yescharacteristic
1550C22×C4C23×D5911yescharacteristic
1551C22×C4C23×D5911yescharacteristic
1552Q16—1182no—
1553Q16—1182no—
1554Q16—2361no—
1555Q16—2361no—
1556Q16—2361no—
1557SD16—1182no—
1558SD16—1182no—
1559SD16—1182no—
1560SD16—1182no—
1561SD16—1182no—
1562SD16—1182no—
1563SD16—2361no—
1564SD16—2361no—
1565SD16—2361no—
1566SD16—2361no—
1567SD16—2361no—
1568SD16—2361no—
1569SD16—2361no—
1570SD16—2361no—
1571SD16—2361no—
1572SD16—2361no—
1573D8—2361no—
1574D8—2361no—
1575D8—2361no—
1576M16—2361no—
1577M16—2361no—
1578M16—2361no—
1579M16—2361no—
1580C2×C8—591no—
1581C2×C8—591no—
1582C2×C8—591no—
1583C2×C8—591no—
1584C2×C8—591no—
1585C2×C8—591no—
1586C2×C8—591no—
1587C2×C8—591no—
1588C2×C8—2361no—
1589C2×C8—2361no—
1590C2×C8—2361no—
1591C2×C8—2361no—
1592C4⋊C4—21no—
1593C4⋊C4—21no—
1594C4⋊C4—21no—
1595C4⋊C4—21no—
1596C4⋊C4—21no—
1597C4⋊C4—21no—
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—1181no—
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⋊C4C2×C22⋊D5911yescharacteristic
1620C4⋊C4C2×C22⋊D5911yescharacteristic
1621C4⋊C4C2×C22⋊D5911yescharacteristic
1622C4⋊C4C2×C22⋊D5911yescharacteristic
1623C4⋊C4C2×C22⋊D5911yescharacteristic
1624C4⋊C4C2×C22⋊D5911yescharacteristic
1625C4⋊C4C23×D5911yescharacteristic
1626C4⋊C4C23×D5911yescharacteristic
1627C22⋊C4—21no—
1628C22⋊C4—21no—
1629C22⋊C4—21no—
1630C22⋊C4—21no—
1631C22⋊C4—21no—
1632C22⋊C4—21no—
1633C22⋊C4—21no—
1634C22⋊C4—21no—
1635C22⋊C4—21no—
1636C22⋊C4—21no—
1637C22⋊C4—21no—
1638C22⋊C4—21no—
1639C22⋊C4—21no—
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⋊C4—1181no—
1657C22⋊C4—1181no—
1658C22⋊C4—1181no—
1659C22⋊C4C2×C22⋊D5911yescharacteristic
1660C22⋊C4C2×C22⋊D5911yescharacteristic
1661C22⋊C4C2×C22⋊D5911yescharacteristic
1662C22⋊C4C2×C22⋊D5911yescharacteristic
1663C22⋊C4C2×C22⋊D5911yescharacteristic
1664C22⋊C4C2×C22⋊D5911yescharacteristic
1665C22⋊C4C2×C22⋊D5911yescharacteristic
1666C22⋊C4C2×C22⋊D5911yescharacteristic
1667C22⋊C4C2×C22⋊D5911yescharacteristic
1668C22⋊C4C2×C22⋊D5911yescharacteristic
1669C42—21no—
1670C42—21no—
1671C42—21no—
1672C42—21no—
1673C42—21no—
1674C42—1181no—
1675C42—1181no—
1676C42—1181no—
1677C42C23×D5911yescharacteristic
1678C42C23×D5911yescharacteristic
1679C23—22no—
1680C23—21no—
1681C23—41no—
1682C23—41no—
1683C23—1181no—
1684C23—1181no—
1685C23—1181no—
1686C23—4721no—
1687C23—4721no—
1688C23—4721no—
1689C23—4721no—
1690C23—4721no—
1691C23—2362no—
1692C23C22×C22⋊D5911yescharacteristic
1693C23C22×C22⋊D5911yescharacteristic
1694C23C22×C22⋊D5911yescharacteristic
1695C23C22×C22⋊D5911yescharacteristic
1696C23C22×C22⋊D5911yescharacteristic
1697Q8—24no—
1698Q8—21no—
1699Q8—21no—
1700Q8—21no—
1701Q8—21no—
1702Q8—21no—
1703Q8—21no—
1704Q8—21no—
1705Q8—21no—
1706Q8—41no—
1707Q8—42no—
1708Q8—42no—
1709Q8—42no—
1710Q8—42no—
1711Q8—42no—
1712Q8—42no—
1713Q8—42no—
1714Q8—1181no—
1715Q8—1181no—
1716Q8—4721no—
1717Q8#1427377212yes—
1718Q8#1427377212yes—
1719D4—22no—
1720D4—22no—
1721D4—21no—
1722D4—21no—
1723D4—41no—
1724D4—41no—
1725D4—41no—
1726D4—41no—
1727D4—41no—
1728D4—42no—
1729D4—42no—
1730D4—42no—
1731D4—42no—
1732D4—42no—
1733D4—1181no—
1734D4—1181no—
1735D4—1181no—
1736D4—1181no—
1737D4—1181no—
1738D4—1181no—
1739D4—4721no—
1740D4—4721no—
1741D4—4721no—
1742D4—4721no—
1743D4—4721no—
1744D4—4721no—
1745D4—4721no—
1746D4—4721no—
1747D4—4721no—
1748D4—4721no—
1749D4—4721no—
1750D4—4721no—
1751D4—4721no—
1752D4—4721no—
1753D4—2362no—
1754C2×C4—24no—
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—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—41no—
1773C2×C4—41no—
1774C2×C4—41no—
1775C2×C4—42no—
1776C2×C4—42no—
1777C2×C4—42no—
1778C2×C4—42no—
1779C2×C4—42no—
1780C2×C4—42no—
1781C2×C4—42no—
1782C2×C4—42no—
1783C2×C4—42no—
1784C2×C4—42no—
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—4721no—
1795C2×C4—4721no—
1796C2×C4—2362no—
1797C2×C4C22×C22⋊D5911yescharacteristic
1798C2×C4C22×C22⋊D5911yescharacteristic
1799C2×C4C22×C22⋊D5911yescharacteristic
1800C2×C4C22×C22⋊D5911yescharacteristic
1801C2×C4C22×C22⋊D5911yescharacteristic
1802C2×C4C22×C22⋊D5911yescharacteristic
1803C2×C4C22×C22⋊D5911yescharacteristic
1804C2×C4C22×C22⋊D5911yescharacteristic
1805C2×C4C22×C22⋊D5911yescharacteristic
1806C2×C4C24×D5911yescharacteristic
1807C8—1181no—
1808C8—1181no—
1809C8—1181no—
1810C8—1181no—
1811C8—1181no—
1812C8—1181no—
1813C8—1181no—
1814C8—1181no—
1815C22—21no—
1816C22—21no—
1817C22—21no—
1818C22—21no—
1819C22—21no—
1820C22—21no—
1821C22—21no—
1822C22—21no—
1823C22—21no—
1824C22—21no—
1825C22—21no—
1826C22—21no—
1827C22—21no—
1828C22—21no—
1829C22—44no—
1830C22—41no—
1831C22—41no—
1832C22—41no—
1833C22—9442no—
1834C22—9442no—
1835C22—2361no—
1836C22—2361no—
1837C22—2361no—
1838C22—2361no—
1839C22—2361no—
1840C22—2361no—
1841C22—2361no—
1842C22—2361no—
1843C22—2361no—
1844C22#1683821012yes—
1845C22C23×C22⋊D5911yescharacteristic
1846C4—22no—
1847C4—22no—
1848C4—21no—
1849C4—21no—
1850C4—21no—
1851C4—21no—
1852C4—21no—
1853C4—21no—
1854C4—21no—
1855C4—21no—
1856C4—21no—
1857C4—41no—
1858C4—41no—
1859C4—41no—
1860C4—41no—
1861C4—41no—
1862C4—2361no—
1863C4—2361no—
1864C4—2361no—
1865C4—2361no—
1866C4—2361no—
1867C4C2×#1427377211yescharacteristic
1868C4C2×#1427377211yescharacteristic
1869C2—22no—
1870C2—41no—
1871C2—41no—
1872C2—41no—
1873C2—41no—
1874C2—81no—
1875C2—4721no—
1876C2—4721no—
1877C2—4721no—
1878C2#2143773111yescharacteristic
1879C2C2×#1683821011yescharacteristic
1880C2#2143888311yescharacteristic
subgroupG/H
centerC22C23×C22⋊D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3486C2
socleC22×C59C23×D4
hypercenter#3486D59
hypocenterC59#61611
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ #525 ◁ #3486

Complements

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

NH ≅ G/Ntype
1. #21438412C2semidirect
2. #21436390C2semidirect
3. #21436349C2semidirect
4. #21436282C2semidirect
5. #21436267C2semidirect
6. #21436147C2semidirect
7. #21436087C2semidirect
8. #21435983C2semidirect
9. #21435961C2semidirect
10. #21435804C2semidirect
11. D4×#11745671C2semidirect
12. #21435758C2semidirect
13. #21435728C2semidirect
14. #21435682C2semidirect
15. #21435607C2semidirect
16. #21435607C2semidirect
17. #21435592C2semidirect
18. #21435205C2semidirect
19. #21435157C2semidirect
20. #21434978C2semidirect
21. #21434963C2semidirect
22. #21434906C2semidirect
23. #21434884C2semidirect
24. #21434387C2semidirect
25. #21434325C2semidirect
26. #21433411C2semidirect
27. #21433382C2semidirect
28. #21433330C2semidirect
29. C2×#16837541C2semidirect
30. #21433144C2semidirect
31. C59×#3486C2semidirect
32. C2×#14273758C22semidirect
33. C2×#14273758C22semidirect
34. C2×#14273758C22semidirect
35. C2×#14273752C22semidirect
36. C2×#14273747C22semidirect
39. C22×#11745671C22semidirect
62. #16837794C22semidirect
63. #16837792C22semidirect
64. #16837784C22semidirect
65. #16837776C22semidirect
66. #16837770C22semidirect
67. #16837761C22semidirect
68. #16837756C22semidirect
69. #16837752C22semidirect
70. #16837743C22semidirect
71. #16837740C22semidirect
72. #16837740C22semidirect
73. #16837740C22semidirect
74. #16837735C22semidirect
75. #16837730C22semidirect
76. #16837730C22semidirect
78. #16837726C22semidirect
79. #16837726C22semidirect
80. #16837723C22semidirect
81. #16837713C22semidirect
82. #16837709C22semidirect
83. #16837709C22semidirect
84. #16837697C22semidirect
85. #16837687C22semidirect
86. #16837658C22semidirect
88. #16837653C22semidirect
90. #16837650C22semidirect
91. #16837650C22semidirect
92. #16837650C22semidirect
93. #16837650C22semidirect
94. #16837641C22semidirect
95. #16837641C22semidirect
98. #16837633C22semidirect
99. #16837633C22semidirect
100. #16837633C22semidirect
101. #16837629C22semidirect
102. #16837624C22semidirect
103. #16837624C22semidirect
104. #16837621C22semidirect
105. #16837614C22semidirect
106. #16837614C22semidirect
107. #16837614C22semidirect
108. #16837609C22semidirect
109. #16837604C22semidirect
110. #16837604C22semidirect
111. #16837604C22semidirect
112. #16837602C22semidirect
113. #16837602C22semidirect
114. #16837564C22semidirect
115. #16837564C22semidirect
116. #16837562C22semidirect
117. #16837562C22semidirect
118. #16837562C22semidirect
119. #16837558C22semidirect
120. #16837558C22semidirect
121. #16837558C22semidirect
122. #16837558C22semidirect
123. #16837558C22semidirect
125. #16837552C22semidirect
126. #16837552C22semidirect
128. #16837547C22semidirect
129. #16837547C22semidirect
130. #16837547C22semidirect
131. #16837547C22semidirect
132. #16837547C22semidirect
133. #16837545C22semidirect
140. #16837541C22semidirect
141. #16837541C22semidirect
142. #16837541C22semidirect
143. #16837541C22semidirect
144. #16837541C22semidirect
145. #16837541C22semidirect
146. #16837541C22semidirect
147. #16837541C22semidirect
148. #16837541C22semidirect
150. #16837507C22semidirect
151. #16837500C22semidirect
152. #16837500C22semidirect
153. #16837500C22semidirect
154. C4×#11745672C22semidirect
155. C4×#11745671C22semidirect
156. C4×#11745671C22semidirect
157. C4×#11745671C22semidirect
158. #16837480C22semidirect
159. #16837480C22semidirect
161. #16837474C22semidirect
162. #16837474C22semidirect
163. #16837474C22semidirect
165. D4×C59⋊C8C22semidirect
166. #16837463C22semidirect
167. #16837463C22semidirect
168. #16837411C22semidirect
169. #16837411C22semidirect
170. #16837411C22semidirect
171. #16837403C22semidirect
172. #16837398C22semidirect
173. C2×#14273651C22semidirect
174. C2×#14273651C22semidirect
175. C2×#14273651C22semidirect
176. #16837369C22semidirect
177. #16837369C22semidirect
178. #16837366C22semidirect
179. C2×C22⋊(C59⋊C8)C22semidirect
180. C2×2−1+4×C59C22semidirect
181. C23×Q8×C59C22semidirect
185. D4×Q8×C59C22semidirect
186. D4×Q8×C59C22semidirect
187. D4×Q8×C59C22semidirect
191. C59×#548C22semidirect
192. C59×#548C22semidirect
193. C59×#548C22semidirect
196. C59×#536C22semidirect
197. C59×#536C22semidirect
201. C59×#525C22semidirect
202. C59×#519C22semidirect
930. #3486D59semidirect
972. C2×2−1+4C2×D59semidirect
973. C23×Q8C2×D59semidirect
992. D4×Q8C2×D59semidirect
993. D4×Q8C2×D59semidirect
994. D4×Q8C2×D59semidirect
998. #548C2×D59semidirect
999. #548C2×D59semidirect
1000. #548C2×D59semidirect
1013. #536C2×D59semidirect
1014. #536C2×D59semidirect
1022. #525C2×D59semidirect
1024. #519C2×D59semidirect
1143. C59#61611semidirect

Maximal subgroups

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

subgroupindex
#214384122
#214363902
#214363492
#214362822
#214362672
#214361472
#214360872
#214359832
#214359612
#214358042
D4×#117456712
#214357582
#214357282
#214356822
#214356072
#214355922
#214352052
#214351572
#214349782
#214349632
#214349062
#214348842
#214343872
#214343252
#214334112
#214333822
#214333302
C2×#168375412
#214331442
C59×#34862
#6161159