Finite Group Databasebeta

← #29473850

Subgroups — #29473850

Order 15104.

2632 conjugacy classes of subgroups.

The subgroup lattice has 2070 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438121C211yesmaximal, characteristic, complemented
2D42×D59C211yesmaximal, characteristic, complemented
3#21436336C211yesmaximal, characteristic, complemented
4#21436334C211yesmaximal, characteristic, complemented
5#21436236C211yesmaximal, characteristic, complemented
6#21436234C211yesmaximal, characteristic, complemented
7#21436231C211yesmaximal, characteristic, complemented
8#21435918C211yesmaximal, characteristic, complemented
9#21435916C211yesmaximal, characteristic, complemented
10#21435770C211yesmaximal, characteristic, complemented
11#21435766C211yesmaximal, characteristic, complemented
12#21435714C211yesmaximal, characteristic, complemented
13#21435713C211yesmaximal, characteristic, complemented
14#21435581C211yesmaximal, characteristic, complemented
15#21435578C211yesmaximal, characteristic, complemented
16#21435572C211yesmaximal, characteristic, complemented
17#21435571C211yesmaximal, characteristic, complemented
18#21435115C211yesmaximal, characteristic, complemented
19#21435013C211yesmaximal, characteristic, complemented
20#21434895C211yesmaximal, characteristic, complemented
21#21434892C211yesmaximal, characteristic, complemented
22#21434865C211yesmaximal, characteristic, complemented
23#21434856C211yesmaximal, characteristic, complemented
24#21434185C211yesmaximal, characteristic, complemented
25#21434148C211yesmaximal, characteristic, complemented
26#21433325C211yesmaximal, characteristic, complemented
27#21433320C211yesmaximal, characteristic, complemented
28C2×#16837537C211yesmaximal, characteristic, complemented
29#447×D59C211yesmaximal, characteristic, complemented
30#21433126C211yesmaximal, characteristic, complemented
31C59×#3318C211yesmaximal, characteristic, complemented
32C22×D4×D59—21no—
33C22×D4×D59C2211yescharacteristic, complemented
34C22×D4×D59C2211yescharacteristic, complemented
35C2×#14273755C2211yescharacteristic, complemented
36C2×#14273753C2211yescharacteristic, complemented
37C2×#14273751C2211yescharacteristic, complemented
38C2×#14273751C2211yescharacteristic, complemented
39C22×D472C2211yescharacteristic, complemented
40C22×#11745669C2211yescharacteristic, complemented
41C2×D8×D59C2211yescharacteristic, complemented
42C2×D8×D59C2211yescharacteristic, complemented
43#16838115C2211yescharacteristic, complemented
44#16838107C2211yescharacteristic, complemented
45#16838105C2211yescharacteristic, complemented
46#16838103—21no—
47#16838070C2211yescharacteristic, complemented
48#16838048—21no—
49#16838048C2211yescharacteristic, complemented
50#16838047C2211yescharacteristic, complemented
51#16838044—21no—
52D4×D236C2211yescharacteristic, complemented
53D4×D236C2211yescharacteristic, complemented
54#16838037C2211yescharacteristic, complemented
55#16838036—21no—
56#16838036—21no—
57#16838036C2211yescharacteristic
58#16838036C2211yescharacteristic, complemented
59#16838036C2211yescharacteristic, complemented
60D4×C22⋊D59—21no—
61D4×C22⋊D59C2211yescharacteristic
62D4×C22⋊D59C2211yescharacteristic, complemented
63#16838034—21no—
64#16838034—21no—
65#16838004—21no—
66#16837991—21no—
67#16837989—21no—
68#16837949C2211yescharacteristic, complemented
69#127×D59C2211yescharacteristic, complemented
70#16837937C2211yescharacteristic, complemented
71#16837914C2211yescharacteristic, complemented
72#16837912C2211yescharacteristic, complemented
73C2×#14273702C2211yescharacteristic, complemented
74#121×D59—21no—
75#121×D59C2211yescharacteristic, complemented
76#121×D59C2211yescharacteristic, complemented
77#121×D59C2211yescharacteristic, complemented
78#120×D59—21no—
79#120×D59—21no—
80#16837874—21no—
81C4×D4×D59C2211yescharacteristic
82C4×D4×D59C2211yescharacteristic, complemented
83#16837791C2211yescharacteristic, complemented
84#16837789C2211yescharacteristic, complemented
85#16837777C2211yescharacteristic, complemented
86#16837777C2211yescharacteristic, complemented
87#16837768C2211yescharacteristic, complemented
88#16837747C2211yescharacteristic, complemented
89#16837747C2211yescharacteristic, complemented
90#16837739C2211yescharacteristic, complemented
91#16837729C2211yescharacteristic, complemented
92#16837726C2211yescharacteristic, complemented
93#16837725C2211yescharacteristic, complemented
94#16837722C2211yescharacteristic, complemented
95#16837722C2211yescharacteristic, complemented
96#16837722C2211yescharacteristic, complemented
97#16837720C2211yescharacteristic, complemented
98#16837719C2211yescharacteristic, complemented
99#16837719C2211yescharacteristic, complemented
100#16837699C2211yescharacteristic, complemented
101#16837691C2211yescharacteristic, complemented
102#16837690C2211yescharacteristic, complemented
103#16837656C2211yescharacteristic, complemented
104#16837656C2211yescharacteristic, complemented
105#16837655C2211yescharacteristic, complemented
106#16837654C2211yescharacteristic, complemented
107#16837654C2211yescharacteristic, complemented
108#16837653C2211yescharacteristic, complemented
109#16837653C2211yescharacteristic, complemented
110#16837639C2211yescharacteristic, complemented
111#16837637C2211yescharacteristic, complemented
112#16837636C2211yescharacteristic, complemented
113#16837632C2211yescharacteristic, complemented
114#16837631C2211yescharacteristic, complemented
115#16837630C2211yescharacteristic, complemented
116#16837629C2211yescharacteristic, complemented
117#16837618C2211yescharacteristic, complemented
118#16837617C2211yescharacteristic, complemented
119#16837601C2211yescharacteristic, complemented
120#16837601C2211yescharacteristic, complemented
121#16837598C2211yescharacteristic, complemented
122#16837597C2211yescharacteristic, complemented
123#16837596C2211yescharacteristic, complemented
124#16837596C2211yescharacteristic, complemented
125#16837596C2211yescharacteristic, complemented
126#16837595C2211yescharacteristic, complemented
127#16837594C2211yescharacteristic, complemented
128#16837555C2211yescharacteristic, complemented
129#16837554C2211yescharacteristic, complemented
130#16837554C2211yescharacteristic, complemented
131#16837554C2211yescharacteristic, complemented
132#16837554C2211yescharacteristic, complemented
133#16837554C2211yescharacteristic, complemented
134#16837553C2211yescharacteristic, complemented
135#16837549C2211yescharacteristic, complemented
136#16837548C2211yescharacteristic, complemented
137#16837545C2211yescharacteristic, complemented
138#16837544C2211yescharacteristic, complemented
139#16837538C2211yescharacteristic, complemented
140#16837538C2211yescharacteristic, complemented
141#16837537C2211yescharacteristic
142#16837537C2211yescharacteristic, complemented
143#16837537C2211yescharacteristic, complemented
144#16837537C2211yescharacteristic, complemented
145#16837537C2211yescharacteristic, complemented
146#16837537C2211yescharacteristic, complemented
147#16837537C2211yescharacteristic, complemented
148#16837537C2211yescharacteristic, complemented
149#16837537C2211yescharacteristic, complemented
150#16837537C2211yescharacteristic, complemented
151#16837537C2211yescharacteristic, complemented
152#16837537C2211yescharacteristic, complemented
153#16837537C2211yescharacteristic, complemented
154#16837536C2211yescharacteristic, complemented
155#16837535C2211yescharacteristic, complemented
156#16837535C2211yescharacteristic, complemented
157#16837535C2211yescharacteristic, complemented
158#16837534C2211yescharacteristic, complemented
159#16837534C2211yescharacteristic, complemented
160#16837534C2211yescharacteristic, complemented
161#16837534C2211yescharacteristic, complemented
162#16837515C2211yescharacteristic, complemented
163#16837512C2211yescharacteristic, complemented
164#16837512C2211yescharacteristic, complemented
165#16837493C2211yescharacteristic, complemented
166#16837489C2211yescharacteristic, complemented
167#16837484C2211yescharacteristic, complemented
168#16837482C2211yescharacteristic, complemented
169#16837478C2211yescharacteristic, complemented
170#16837477C2211yescharacteristic, complemented
171#16837475C2211yescharacteristic, complemented
172#16837474C2211yescharacteristic, complemented
173#16837472C2211yescharacteristic, complemented
174C8×C22⋊D59C2211yescharacteristic, complemented
175(C22⋊D59)⋊C8C2211yescharacteristic, complemented
176#16837457C2211yescharacteristic, complemented
177#16837454C2211yescharacteristic, complemented
178#16837406C2211yescharacteristic, complemented
179#16837405C2211yescharacteristic, complemented
180#16837405C2211yescharacteristic, complemented
181C2×#14273647C2211yescharacteristic, complemented
182#102×D59C2211yescharacteristic, complemented
183#102×D59C2211yescharacteristic, complemented
184#16837365C2211yescharacteristic, complemented
185#16837364C2211yescharacteristic, complemented
186C2×(C2×D59)⋊C8C2211yescharacteristic, complemented
187C22⋊C8×D59C2211yescharacteristic, complemented
188C59×#553C2211yescharacteristic, complemented
189D42×C59C2211yescharacteristic, complemented
190C59×#490C2211yescharacteristic, complemented
191C59×#482C2211yescharacteristic, complemented
192C59×#481C2211yescharacteristic, complemented
193C59×#478C2211yescharacteristic, complemented
194C59×#469C2211yescharacteristic, complemented
195C59×#466C2211yescharacteristic, complemented
196C59×#459C2211yescharacteristic, complemented
197C59×#447C2211yescharacteristic, complemented
198C59×#447C2211yescharacteristic, complemented
199C59×#442C2211yescharacteristic, complemented
200C59×#435C2211yescharacteristic, complemented
201C59×#418C2211yescharacteristic, complemented
202C2×#102×C59C2211yescharacteristic, complemented
203C24×D59—21no—
204C24×D59—21no—
205C2×#11745685—21no—
206C2×#11745685C2311yescharacteristic, complemented
207C2×#11745687C2311yescharacteristic, complemented
208C22×D236—21no—
209C22×D236—21no—
210C22×D236C2311yescharacteristic
211C22×D236C2311yescharacteristic
212C22×D236C2311yescharacteristic, complemented
213C22×C22⋊D59—21no—
214C22×C22⋊D59—21no—
215C22×C22⋊D59—21no—
216C22×C22⋊D59—21no—
217C2×D4×D59—21no—
218C2×D4×D59—21no—
219C2×D4×D59—21no—
220C2×D4×D59—21no—
221C2×D4×D59—21no—
222C2×D4×D59—21no—
223C2×D4×D59—21no—
224C2×D4×D59—21no—
225C2×D4×D59—21no—
226C2×D4×D59—21no—
227C2×D4×D59—21no—
228C2×D4×D59—21no—
229C2×D4×D59—21no—
230C2×D4×D59—21no—
231C2×D4×D59—42no—
232C2×D4×D59—42no—
233C2×D4×D59—42no—
234C2×D4×D59—42no—
235C2×D4×D59—48no—
236C2×D4×D59D411yescharacteristic
237C2×D4×D59C2311yescharacteristic
238C2×D4×D59C2311yescharacteristic
239C2×D4×D59C2311yescharacteristic
240C2×D4×D59C2311yescharacteristic
241C2×D4×D59C2311yescharacteristic
242C2×D4×D59C2311yescharacteristic
243C2×D4×D59C2311yescharacteristic
244C2×D4×D59C2311yescharacteristic, complemented
245C22×C4×D59—21no—
246C22×C4×D59C2311yescharacteristic
247C22×C4×D59C2311yescharacteristic
248#14273755—42no—
249#14273753—42no—
250#14273751—42no—
251#14273751—42no—
252C2×#11745660C2311yescharacteristic
253C2×#11745660C2311yescharacteristic, complemented
254C2×#11745660C2311yescharacteristic, complemented
255C2×#11745670C2311yescharacteristic
256C2×#11745670C2311yescharacteristic, complemented
257C2×#11745670C2311yescharacteristic, complemented
258C2×D472—42no—
259C2×D472C2311yescharacteristic
260C2×D472C2311yescharacteristic
261C2×D472C2311yescharacteristic, complemented
262C2×D472C2311yescharacteristic, complemented
263C2×D472C2311yescharacteristic, complemented
264C2×D472C2311yescharacteristic, complemented
265C2×#11745669—42no—
266C2×#11745669C2311yescharacteristic
267C2×#11745669C2311yescharacteristic
268C2×#11745669C2311yescharacteristic
269C2×#11745669C2311yescharacteristic, complemented
270C2×#11745669C2311yescharacteristic, complemented
271C2×#11745669C2311yescharacteristic, complemented
272C2×#11745669C2311yescharacteristic, complemented
273C2×#11745669C2311yescharacteristic, complemented
274C2×#11745669C2311yescharacteristic, complemented
275D8×D59—42no—
276D8×D59—42no—
277C2×#11745664C2311yescharacteristic, complemented
278C2×#11745659C2311yescharacteristic, complemented
279C2×#11745659C2311yescharacteristic, complemented
280C22×C59⋊C8C2311yescharacteristic, complemented
281C2×C8×D59C2311yescharacteristic, complemented
282C2×C8×D59C2311yescharacteristic, complemented
283#14273726C2311yescharacteristic, complemented
284#14273724C2311yescharacteristic
285#14273723—21no—
286#14273723—21no—
287#14273723—21no—
288#14273723C2311yescharacteristic
289#14273723C2311yescharacteristic
290#14273723C2311yescharacteristic, complemented
291#14273722—21no—
292#14273722—21no—
293#14273717—21no—
294#14273715—21no—
295#14273715C2311yescharacteristic, complemented
296#14273713—21no—
297#14273713—21no—
298#14273712—21no—
299#14273712—21no—
300#14273712—21no—
301#14273711—21no—
302#14273711—21no—
303#14273709—21no—
304#14273707C2311yescharacteristic
305#14273707C2311yescharacteristic, complemented
306#14273706—21no—
307#14273706C2311yescharacteristic, complemented
308#14273705—21no—
309#14273702—21no—
310#14273702—21no—
311#14273702—21no—
312#14273702—21no—
313#14273702C2311yescharacteristic
314#14273702C2311yescharacteristic
315#14273702C2311yescharacteristic
316#14273702C2311yescharacteristic
317#14273702C2311yescharacteristic, complemented
318#14273702C2311yescharacteristic, complemented
319#14273702C2311yescharacteristic, complemented
320#14273701—21no—
321#14273701—21no—
322#14273701C2311yescharacteristic
323#14273701C2311yescharacteristic
324#14273701C2311yescharacteristic, complemented
325#14273700—21no—
326#14273700—21no—
327#14273700—21no—
328#14273700—21no—
329#14273700—21no—
330#14273700—21no—
331#14273700—21no—
332#14273700—21no—
333#14273700—21no—
334#14273700—21no—
335#14273699—21no—
336#14273699—21no—
337#14273699—21no—
338#14273699—21no—
339#14273699—21no—
340#14273699—21no—
341#14273698—21no—
342#14273698C2311yescharacteristic
343#14273698C2311yescharacteristic
344#14273698C2311yescharacteristic
345#14273697—21no—
346#14273697—21no—
347#14273697—21no—
348#14273697—21no—
349#14273697—21no—
350#14273697—21no—
351#14273697—21no—
352#14273697—21no—
353#14273697—21no—
354#14273696—21no—
355#14273696—21no—
356#14273695—21no—
357#14273695—21no—
358#14273695—21no—
359#14273695—21no—
360#14273695—21no—
361#14273695—21no—
362#14273695—21no—
363#14273695—21no—
364#14273695—21no—
365#14273692C2311yescharacteristic, complemented
366C4×D236—21no—
367C4×D236—21no—
368C4×D236C2311yescharacteristic
369C4×D236C2311yescharacteristic
370C4×D236C2311yescharacteristic, complemented
371D4×Dic59—21no—
372D4×Dic59D411yescharacteristic
373D4×Dic59C2311yescharacteristic
374#14273689—21no—
375#14273689—21no—
376#14273689D411yescharacteristic
377#14273689C2311yescharacteristic
378#14273689C2311yescharacteristic, complemented
379C4×C22⋊D59—21no—
380C4×C22⋊D59—21no—
381C4×C22⋊D59—21no—
382C4×C22⋊D59C2311yescharacteristic
383C4×C22⋊D59C2311yescharacteristic
384(C22⋊D59)⋊C4—21no—
385(C22⋊D59)⋊C4—21no—
386(C22⋊D59)⋊C4—21no—
387(C22⋊D59)⋊C4D411yescharacteristic
388(C22⋊D59)⋊C4D411yescharacteristic
389#14273685—21no—
390#14273685C2311yescharacteristic, complemented
391#14273684—21no—
392C4⋊C4×D59D411yescharacteristic
393C4⋊C4×D59C2311yescharacteristic
394C4⋊C4×D59C2311yescharacteristic, complemented
395C2×(C2×D59)⋊C4—21no—
396C2×(C2×D59)⋊C4—21no—
397C22⋊C4×D59—21no—
398C22⋊C4×D59—21no—
399C22⋊C4×D59—21no—
400C22⋊C4×D59—21no—
401C22⋊C4×D59—21no—
402C22⋊C4×D59D411yescharacteristic
403C22⋊C4×D59D411yescharacteristic
404C42×D59C2311yescharacteristic
405#14273660C2311yescharacteristic, complemented
406#14273659C2311yescharacteristic, complemented
407#14273658C2311yescharacteristic, complemented
408#14273658C2311yescharacteristic, complemented
409#14273658C2311yescharacteristic, complemented
410C4⋊(C59⋊C8)C2311yescharacteristic, complemented
411Dic59⋊C8C2311yescharacteristic, complemented
412Dic59⋊C8C2311yescharacteristic, complemented
413#14273652C2311yescharacteristic, complemented
414#14273650C2311yescharacteristic, complemented
415#14273649C2311yescharacteristic
416#14273649C2311yescharacteristic, complemented
417#14273649C2311yescharacteristic, complemented
418#14273649C2311yescharacteristic, complemented
419#14273649C2311yescharacteristic, complemented
420#14273648C2311yescharacteristic
421#14273648C2311yescharacteristic, complemented
422#14273648C2311yescharacteristic, complemented
423#14273648C2311yescharacteristic, complemented
424#14273647C2311yescharacteristic
425#14273647C2311yescharacteristic
426#14273647C2311yescharacteristic
427#14273647C2311yescharacteristic, complemented
428#14273647C2311yescharacteristic, complemented
429#14273647C2311yescharacteristic, complemented
430#14273647C2311yescharacteristic, complemented
431#14273647C2311yescharacteristic, complemented
432#14273647C2311yescharacteristic, complemented
433#14273647C2311yescharacteristic, complemented
434#14273647C2311yescharacteristic, complemented
435C22⋊(C59⋊C8)C2311yescharacteristic, complemented
436C22⋊(C59⋊C8)C2311yescharacteristic, complemented
437(C2×D59)⋊C8C2311yescharacteristic
438(C2×D59)⋊C8C2311yescharacteristic
439(C2×D59)⋊C8C2311yescharacteristic
440(C2×D59)⋊C8C2311yescharacteristic
441(C2×D59)⋊C8C2311yescharacteristic, complemented
442(C2×D59)⋊C8C2311yescharacteristic, complemented
443(C2×D59)⋊C8C2311yescharacteristic, complemented
444(C2×D59)⋊C8C2311yescharacteristic, complemented
445#14273638C2311yescharacteristic, complemented
446C8×Dic59C2311yescharacteristic, complemented
447C8×Dic59C2311yescharacteristic, complemented
448C22×D4×C59—21no—
449C22×D4×C59C2311yescharacteristic
450C22×D4×C59C2311yescharacteristic
451C2×D8×C59C2311yescharacteristic
452C2×D8×C59C2311yescharacteristic, complemented
453C2×D8×C59C2311yescharacteristic, complemented
454C2×M16×C59C2311yescharacteristic, complemented
455C22×C8×C59C2311yescharacteristic, complemented
456#127×C59C2311yescharacteristic
457#126×C59—21no—
458#125×C59C2311yescharacteristic, complemented
459#123×C59—21no—
460#121×C59—21no—
461#121×C59—21no—
462#121×C59C2311yescharacteristic
463#121×C59C2311yescharacteristic
464#121×C59C2311yescharacteristic, complemented
465#121×C59C2311yescharacteristic, complemented
466#120×C59—21no—
467#120×C59—21no—
468C4×D4×C59—21no—
469C4×D4×C59C2311yescharacteristic
470C4×D4×C59C2311yescharacteristic
471C4×D4×C59C2311yescharacteristic, complemented
472#117×C59C2311yescharacteristic, complemented
473C2×C4⋊C4×C59C2311yescharacteristic, complemented
474#107×C59C2311yescharacteristic, complemented
475#106×C59C2311yescharacteristic, complemented
476#106×C59C2311yescharacteristic, complemented
477C4⋊C8×C59C2311yescharacteristic, complemented
478#102×C59C2311yescharacteristic
479#102×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic
481#102×C59C2311yescharacteristic, complemented
482#102×C59C2311yescharacteristic, complemented
483#102×C59C2311yescharacteristic, complemented
484#102×C59C2311yescharacteristic, complemented
485#102×C59C2311yescharacteristic, complemented
486#102×C59C2311yescharacteristic, complemented
487#102×C59C2311yescharacteristic, complemented
488C22⋊C8×C59C2311yescharacteristic, complemented
489C22⋊C8×C59C2311yescharacteristic, complemented
490#97×C59C2311yescharacteristic, complemented
491C24×C59—21no—
492C24×C59—21no—
493C23×D59—21no—
494C23×D59—21no—
495C23×D59—21no—
496C23×D59—21no—
497C23×D59—21no—
498C23×D59—21no—
499C23×D59—21no—
500C23×D59—21no—
501C23×D59—21no—
502C23×D59—21no—
503C23×D59—21no—
504C23×D59—44no—
505C23×D59—44no—
506C23×D59—44no—
507C23×D59—44no—
508C23×D59—82no—
509C23×D59—82no—
510C23×D59C2×D411yescharacteristic
511C23×D59C2×D411yescharacteristic
512C2×D4×C59—22no—
513C2×D4×C59—22no—
514C2×D4×C59—21no—
515C2×D4×C59—21no—
516C2×D4×C59—21no—
517C2×D4×C59—21no—
518C2×D4×C59—21no—
519C2×D4×C59—21no—
520C2×D4×C59—21no—
521C2×D4×C59—21no—
522C2×D4×C59—41no—
523C2×D4×C59—41no—
524C2×D4×C59—44no—
525C2×D4×C59C2×D411yescharacteristic
526C2×D4×C59C2411yescharacteristic
527C2×D4×C59C2411yescharacteristic
528C2×D4×C59C2411yescharacteristic
529C2×D4×C59C2411yescharacteristic
530C22×C4×C59—21no—
531C22×C4×C59—21no—
532C22×C4×C59—21no—
533C22×C4×C59C2411yescharacteristic
534C22×C4×C59C2411yescharacteristic
535C2×C22⋊D59—21no—
536C2×C22⋊D59—21no—
537C2×C22⋊D59—21no—
538C2×C22⋊D59—21no—
539C2×C22⋊D59—21no—
540C2×C22⋊D59—21no—
541C2×C22⋊D59—21no—
542C2×C22⋊D59—21no—
543C2×C22⋊D59—21no—
544C2×C22⋊D59—21no—
545C2×C22⋊D59—21no—
546C2×C22⋊D59—21no—
547C2×C22⋊D59—21no—
548C2×C22⋊D59—21no—
549C2×C22⋊D59—21no—
550C2×C22⋊D59—21no—
551C2×C22⋊D59—21no—
552C2×C22⋊D59—21no—
553C2×C22⋊D59—21no—
554C2×C22⋊D59—21no—
555C2×C22⋊D59—21no—
556C2×C22⋊D59—21no—
557C2×C22⋊D59—44no—
558C2×C22⋊D59—44no—
559C2×C22⋊D59—44no—
560C2×C22⋊D59—44no—
561C2×C22⋊D59C2×D411yescharacteristic
562C2×C22⋊D59C2×D411yescharacteristic
563C22×Dic59—21no—
564C22×Dic59—21no—
565C22×Dic59C2×D411yescharacteristic
566C22×Dic59C2×D411yescharacteristic
567#11745687—41no—
568#11745687—41no—
569D4×D59—22no—
570D4×D59—24no—
571D4×D59—22no—
572D4×D59—22no—
573D4×D59—22no—
574D4×D59—22no—
575D4×D59—22no—
576D4×D59—41no—
577D4×D59—41no—
578D4×D59—41no—
579D4×D59—41no—
580D4×D59—41no—
581D4×D59—41no—
582D4×D59—41no—
583D4×D59—41no—
584D4×D59—41no—
585D4×D59—41no—
586D4×D59—44no—
587D4×D59—44no—
588D4×D59—44no—
589D4×D59—44no—
590D4×D59—44no—
591D4×D59—44no—
592D4×D59—44no—
593D4×D59—44no—
594D4×D59—44no—
595D4×D59—44no—
596D4×D59—44no—
597D4×D59—44no—
598D4×D59—82no—
599D4×D59—82no—
600#11745685—41no—
601#11745685—41no—
602#11745685—82no—
603C2×D236—22no—
604C2×D236—22no—
605C2×D236—21no—
606C2×D236—21no—
607C2×D236—21no—
608C2×D236—21no—
609C2×D236—21no—
610C2×D236—21no—
611C2×D236—21no—
612C2×D236—21no—
613C2×D236—21no—
614C2×D236—21no—
615C2×D236—21no—
616C2×D236—21no—
617C2×D236—41no—
618C2×D236—41no—
619C2×D236—41no—
620C2×D236—41no—
621C2×D236—44no—
622C2×D236—82no—
623C2×D236C2×D411yescharacteristic
624C2×D236C2411yescharacteristic
625C2×D236C2411yescharacteristic
626C2×D236C2411yescharacteristic
627C2×D236C2411yescharacteristic
628C2×D236C2411yescharacteristic
629C2×C4×D59—21no—
630C2×C4×D59—21no—
631C2×C4×D59—21no—
632C2×C4×D59—21no—
633C2×C4×D59—21no—
634C2×C4×D59—21no—
635C2×C4×D59—21no—
636C2×C4×D59—41no—
637C2×C4×D59—41no—
638C2×C4×D59—41no—
639C2×C4×D59—41no—
640C2×C4×D59—44no—
641C2×C4×D59C2×D411yescharacteristic
642C2×C4×D59C2×D411yescharacteristic
643C2×C4×D59C2×D411yescharacteristic
644C2×C4×D59C2×D411yescharacteristic
645C2×C4×D59C2×D411yescharacteristic
646C2×C4×D59C2×D411yescharacteristic
647C2×C4×D59C2411yescharacteristic
648C2×C4×D59C2411yescharacteristic
649C2×C4×D59C2411yescharacteristic
650C2×Dic118—21no—
651C2×Dic118C2411yescharacteristic
652D8×C59—22no—
653D8×C59—41no—
654D8×C59—41no—
655M16×C59—41no—
656C2×C8×C59—41no—
657C2×C8×C59C2411yescharacteristic
658C2×C8×C59C2411yescharacteristic
659C2×C8×C59C2411yescharacteristic
660C2×C8×C59C2411yescharacteristic
661C4⋊C4×C59—21no—
662C4⋊C4×C59—21no—
663C4⋊C4×C59—21no—
664C4⋊C4×C59C2×D411yescharacteristic
665C4⋊C4×C59C2411yescharacteristic
666C4⋊C4×C59C2411yescharacteristic
667C4⋊C4×C59C2411yescharacteristic
668C4⋊C4×C59C2411yescharacteristic
669C22⋊C4×C59—21no—
670C22⋊C4×C59—21no—
671C22⋊C4×C59—21no—
672C22⋊C4×C59—21no—
673C22⋊C4×C59—21no—
674C22⋊C4×C59—21no—
675C22⋊C4×C59—21no—
676C22⋊C4×C59C2×D411yescharacteristic
677C22⋊C4×C59C2×D411yescharacteristic
678C42×C59—21no—
679C42×C59C2411yescharacteristic
680C22⋊Dic59—21no—
681C22⋊Dic59—21no—
682C22⋊Dic59—21no—
683C22⋊Dic59—21no—
684C22⋊Dic59—21no—
685C22⋊Dic59C2×D411yescharacteristic
686C22⋊Dic59C2×D411yescharacteristic
687#11745670—22no—
688#11745670—41no—
689#11745670—41no—
690#11745669—22no—
691#11745669—22no—
692#11745669—22no—
693#11745669—41no—
694#11745669—41no—
695#11745669—41no—
696#11745669—41no—
697#11745669—41no—
698#11745669—41no—
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—
706(C2×D59)⋊C4—21no—
707(C2×D59)⋊C4—21no—
708(C2×D59)⋊C4—21no—
709(C2×D59)⋊C4—21no—
710(C2×D59)⋊C4—21no—
711(C2×D59)⋊C4—21no—
712(C2×D59)⋊C4—21no—
713(C2×D59)⋊C4—21no—
714(C2×D59)⋊C4—21no—
715(C2×D59)⋊C4—21no—
716(C2×D59)⋊C4—21no—
717(C2×D59)⋊C4—21no—
718(C2×D59)⋊C4C2×D411yescharacteristic
719(C2×D59)⋊C4C2×D411yescharacteristic
720(C2×D59)⋊C4C2×D411yescharacteristic
721(C2×D59)⋊C4C2×D411yescharacteristic
722C4⋊Dic59—21no—
723C4⋊Dic59—21no—
724C4⋊Dic59C2×D411yescharacteristic
725C4⋊Dic59C2411yescharacteristic
726C4⋊Dic59C2411yescharacteristic
727Dic59⋊C4—21no—
728Dic59⋊C4—21no—
729Dic59⋊C4—21no—
730Dic59⋊C4—21no—
731Dic59⋊C4—21no—
732Dic59⋊C4C2×D411yescharacteristic
733Dic59⋊C4C2×D411yescharacteristic
734C4×Dic59—21no—
735C4×Dic59—21no—
736C4×Dic59C2×D411yescharacteristic
737C4×Dic59C2×D411yescharacteristic
738C4×Dic59C2411yescharacteristic
739#11745664—41no—
740C2×C59⋊C8—41no—
741C2×C59⋊C8C2411yescharacteristic
742C2×C59⋊C8C2411yescharacteristic
743C2×C59⋊C8C2411yescharacteristic
744C2×C59⋊C8C2411yescharacteristic
745D472—22no—
746D472—22no—
747D472—41no—
748D472—41no—
749D472—41no—
750D472—41no—
751#11745660—22no—
752#11745660—41no—
753#11745660—41no—
754#11745659—41no—
755#11745659—41no—
756C8×D59—41no—
757C8×D59—41no—
758C23×C59—21no—
759C23×C59—21no—
760C23×C59—21no—
761C23×C59—21no—
762C23×C59—42no—
763C23×C59—42no—
764C23×C59—42no—
765C23×C59—42no—
766C23×C59—81no—
767C23×C59—81no—
768C23×C59C22×D411yescharacteristic
769C23×C59C22×D411yescharacteristic
770C22×D59—24no—
771C22×D59—22no—
772C22×D59—21no—
773C22×D59—22no—
774C22×D59—22no—
775C22×D59—22no—
776C22×D59—21no—
777C22×D59—21no—
778C22×D59—21no—
779C22×D59—21no—
780C22×D59—41no—
781C22×D59—41no—
782C22×D59—42no—
783C22×D59—42no—
784C22×D59—42no—
785C22×D59—42no—
786C22×D59—42no—
787C22×D59—42no—
788C22×D59—42no—
789C22×D59—42no—
790C22×D59—42no—
791C22×D59—42no—
792C22×D59—42no—
793C22×D59—42no—
794C22×D59—42no—
795C22×D59—42no—
796C22×D59—42no—
797C22×D59—42no—
798C22×D59—42no—
799C22×D59—42no—
800C22×D59—42no—
801C22×D59—42no—
802C22×D59—42no—
803C22×D59—42no—
804C22×D59—81no—
805C22×D59—81no—
806C22×D59—81no—
807C22×D59—81no—
808C22×D59—81no—
809C22×D59—81no—
810C22×D59—81no—
811C22×D59—81no—
812C22×D59—816no—
813C22×D59—816no—
814C22×D59—81no—
815C22×D59—81no—
816C22×D59C22×D411yescharacteristic
817C22×D59C22×D411yescharacteristic
818C22×D59C22×D411yescharacteristic
819D4×C59—22no—
820D4×C59—21no—
821D4×C59—21no—
822D4×C59—21no—
823D4×C59—21no—
824D4×C59—21no—
825D4×C59—21no—
826D4×C59—21no—
827D4×C59—42no—
828D4×C59—42no—
829D4×C59—42no—
830D4×C59—42no—
831D4×C59—42no—
832D4×C59—42no—
833D4×C59—81no—
834D4×C59—81no—
835D4×C59H(5,𝔽2)12yes—
836C2×C4×C59—21no—
837C2×C4×C59—21no—
838C2×C4×C59—21no—
839C2×C4×C59—21no—
840C2×C4×C59—21no—
841C2×C4×C59—21no—
842C2×C4×C59—21no—
843C2×C4×C59—21no—
844C2×C4×C59—42no—
845C2×C4×C59—81no—
846C2×C4×C59—81no—
847C2×C4×C59C22×D411yescharacteristic
848C2×C4×C59C22×D411yescharacteristic
849C2×C4×C59C22×D411yescharacteristic
850C2×C4×C59C22×D411yescharacteristic
851C2×C4×C59C2511yescharacteristic
852C22⋊D59—24no—
853C22⋊D59—22no—
854C22⋊D59—42no—
855C22⋊D59—42no—
856C22⋊D59—42no—
857C22⋊D59—42no—
858C22⋊D59—42no—
859C22⋊D59—42no—
860C22⋊D59—42no—
861C22⋊D59—42no—
862C22⋊D59—42no—
863C22⋊D59—42no—
864C22⋊D59—42no—
865C22⋊D59—42no—
866C22⋊D59—42no—
867C22⋊D59—42no—
868C22⋊D59—81no—
869C22⋊D59—81no—
870C22⋊D59—81no—
871C22⋊D59—81no—
872C22⋊D59—81no—
873C22⋊D59—81no—
874C22⋊D59—81no—
875C22⋊D59AGL(1,ℤ/8)14yescomplemented
876C2×Dic59—21no—
877C2×Dic59—21no—
878C2×Dic59—21no—
879C2×Dic59—41no—
880C2×Dic59—41no—
881C2×Dic59—42no—
882C2×Dic59—81no—
883C2×Dic59C22×D411yescharacteristic
884C2×Dic59C22×D411yescharacteristic
885C2×Dic59C22×D411yescharacteristic
886C2×Dic59C22×D411yescharacteristic
887C2×Dic59C22×D411yescharacteristic
888D236—22no—
889D236—21no—
890D236—21no—
891D236—21no—
892D236—21no—
893D236—21no—
894D236—21no—
895D236—21no—
896D236—21no—
897D236—21no—
898D236—42no—
899D236—42no—
900D236—42no—
901D236—42no—
902D236—42no—
903D236—42no—
904D236—42no—
905D236—42no—
906D236—81no—
907D236—81no—
908D236—81no—
909D236—81no—
910D236H(5,𝔽2)12yes—
911C4×D59—22no—
912C4×D59—21no—
913C4×D59—21no—
914C4×D59—21no—
915C4×D59—21no—
916C4×D59—21no—
917C4×D59—21no—
918C4×D59—22no—
919C4×D59—41no—
920C4×D59—41no—
921C4×D59—41no—
922C4×D59—41no—
923C4×D59—42no—
924C4×D59—42no—
925C4×D59—42no—
926C4×D59—42no—
927C4×D59—81no—
928C4×D59—81no—
929C4×D59—81no—
930Dic118—21no—
931Dic118—21no—
932Dic118—81no—
933C8×C59—21no—
934C8×C59—21no—
935C8×C59—21no—
936C8×C59—21no—
937C59⋊C8—21no—
938C59⋊C8—21no—
939C59⋊C8—21no—
940C59⋊C8—21no—
941#61591—591nomaximal, Sylow
942C22×C59—21no—
943C22×C59—21no—
944C22×C59—21no—
945C22×C59—22no—
946C22×C59—21no—
947C22×C59—21no—
948C22×C59—41no—
949C22×C59—41no—
950C22×C59—41no—
951C22×C59—41no—
952C22×C59—41no—
953C22×C59—41no—
954C22×C59—41no—
955C22×C59—41no—
956C22×C59—41no—
957C22×C59—41no—
958C22×C59—41no—
959C22×C59—84no—
960C22×C59—84no—
961C22×C59C2×AGL(1,ℤ/8)12yes—
962C22×C59C23×D411yescharacteristic
963C2×D59—21no—
964C2×D59—21no—
965C2×D59—21no—
966C2×D59—21no—
967C2×D59—21no—
968C2×D59—22no—
969C2×D59—21no—
970C2×D59—21no—
971C2×D59—44no—
972C2×D59—44no—
973C2×D59—48no—
974C2×D59—41no—
975C2×D59—41no—
976C2×D59—41no—
977C2×D59—41no—
978C2×D59—41no—
979C2×D59—41no—
980C2×D59—41no—
981C2×D59—41no—
982C2×D59—41no—
983C2×D59—41no—
984C2×D59—41no—
985C2×D59—41no—
986C2×D59—41no—
987C2×D59—41no—
988C2×D59—84no—
989C2×D59—84no—
990C2×D59—84no—
991C2×D59—84no—
992C2×D59—84no—
993C2×D59—84no—
994C2×D59—84no—
995C2×D59—84no—
996C2×D59—162no—
997C2×D59—162no—
998C2×D59C2×AGL(1,ℤ/8)12yes—
999C2×D59#57612yes—
1000C4×C59—21no—
1001C4×C59—21no—
1002C4×C59—21no—
1003C4×C59—21no—
1004C4×C59—41no—
1005C4×C59—41no—
1006C4×C59—41no—
1007C4×C59—41no—
1008C4×C59C2×H(5,𝔽2)11yescharacteristic
1009C4×C59C2×H(5,𝔽2)11yescharacteristic
1010Dic59—21no—
1011Dic59—21no—
1012Dic59—21no—
1013Dic59—21no—
1014Dic59—41no—
1015Dic59—41no—
1016Dic59—41no—
1017Dic59C2×AGL(1,ℤ/8)12yes—
1018#3519—591no—
1019C2×D42—591no—
1020#3325—591no—
1021#3325—591no—
1022#3318—591no—
1023#3318—591no—
1024#3318—591no—
1025#3318D5911yescharacteristic, complemented
1026#3295—591no—
1027#3295—591no—
1028D4×D8—591no—
1029D4×D8—591no—
1030#3274—591no—
1031#3274—591no—
1032#3264—591no—
1033#3264—591no—
1034#3264—591no—
1035#3264—591no—
1036#3217—591no—
1037#3205—591no—
1038#3192—591no—
1039#3192—591no—
1040#3188—591no—
1041#3188—591no—
1042#3109—591no—
1043#3105—591no—
1044#3003—591no—
1045#3003—591no—
1046C2×#447—591no—
1047C2×#447—591no—
1048#2974—591no—
1049C2×C59—22no—
1050C2×C59—41no—
1051C2×C59—42no—
1052C2×C59—81no—
1053C2×C59—81no—
1054C2×C59—81no—
1055C2×C59#348411yescharacteristic
1056C2×C59C22×AGL(1,ℤ/8)11yescharacteristic
1057C2×C59C2×#57611yescharacteristic
1058D59—22no—
1059D59—22no—
1060D59—41no—
1061D59—42no—
1062D59—81no—
1063D59—81no—
1064D59—81no—
1065D59—81no—
1066C23×D4—591no—
1067C23×D4—591no—
1068C23×D4—1181no—
1069C2×AGL(1,ℤ/8)—591no—
1070C2×AGL(1,ℤ/8)—591no—
1071C2×AGL(1,ℤ/8)—591no—
1072C2×AGL(1,ℤ/8)—591no—
1073C22×D8—591no—
1074C22×D8—591no—
1075C22×D8—591no—
1076C22×D8—591no—
1077#555—591no—
1078#554—591no—
1079#553—591no—
1080#553—1181no—
1081#553C2×D5911yescharacteristic, complemented
1082#550—591no—
1083#546—591no—
1084#546—591no—
1085#546—1181no—
1086#546—1181no—
1087D42—591no—
1088D42—591no—
1089D42—591no—
1090D42—591no—
1091D42—591no—
1092D42—591no—
1093D42—591no—
1094D42—591no—
1095D42—1181no—
1096D42—1181no—
1097D42—1181no—
1098D42—1181no—
1099D42—1181no—
1100D42C2×D5911yescharacteristic, complemented
1101#540—1181no—
1102#538—1181no—
1103#538—1181no—
1104#532—591no—
1105C2×#127—591no—
1106#529—591no—
1107#525—591no—
1108#525—591no—
1109C2×#121—591no—
1110C2×#121—591no—
1111C2×#121—591no—
1112C2×#121—591no—
1113C2×#121—1181no—
1114C2×#120—1181no—
1115C2×#120—1181no—
1116#518—1181no—
1117C2×C4×D4—591no—
1118C2×C4×D4—591no—
1119#496—591no—
1120#496—591no—
1121#493—591no—
1122#493—591no—
1123#490—591no—
1124#490C2×D5911yescharacteristic, complemented
1125#486—591no—
1126#486—591no—
1127#484—591no—
1128#482—591no—
1129#482—591no—
1130#482—591no—
1131#482C2×D5911yescharacteristic, complemented
1132#481—591no—
1133#481—591no—
1134#481—591no—
1135#481—591no—
1136#481—591no—
1137#481—591no—
1138#481C2×D5911yescharacteristic, complemented
1139#478—591no—
1140#478C2×D5911yescharacteristic, complemented
1141#476—591no—
1142#476—591no—
1143#469—591no—
1144#469—591no—
1145#469—591no—
1146#469—591no—
1147#469—591no—
1148#469—591no—
1149#469—591no—
1150#469C2×D5911yescharacteristic, complemented
1151#466—591no—
1152#466—591no—
1153#466—591no—
1154#466C2×D5911yescharacteristic, complemented
1155#465—591no—
1156#465—591no—
1157#465—591no—
1158#465—591no—
1159#463—591no—
1160#463—591no—
1161#460—591no—
1162#460—591no—
1163#459—591no—
1164#459—591no—
1165#459—591no—
1166#459—591no—
1167#459—591no—
1168#459—591no—
1169#459—591no—
1170#459C2×D5911yescharacteristic, complemented
1171#450—591no—
1172#450—591no—
1173#450—591no—
1174#450—591no—
1175#450—591no—
1176#450—591no—
1177#450—591no—
1178#449—591no—
1179#449—591no—
1180#449—591no—
1181#449—591no—
1182#447—591no—
1183#447—591no—
1184#447—591no—
1185#447—591no—
1186#447—591no—
1187#447—591no—
1188#447—591no—
1189#447—591no—
1190#447—591no—
1191#447—591no—
1192#447—591no—
1193#447—591no—
1194#447—591no—
1195#447—591no—
1196#447—591no—
1197#447—591no—
1198#447—591no—
1199#447—591no—
1200#447—591no—
1201#447—591no—
1202#447—591no—
1203#447—591no—
1204#447—591no—
1205#447C2×D5911yescharacteristic, complemented
1206#447C2×D5911yescharacteristic, complemented
1207#442—591no—
1208#442—591no—
1209#442—591no—
1210#442C2×D5911yescharacteristic, complemented
1211C4×SD16—591no—
1212C4×SD16—591no—
1213C4×D8—591no—
1214C4×D8—591no—
1215#436—591no—
1216#436—591no—
1217#435—591no—
1218#435—591no—
1219#435—591no—
1220#435C2×D5911yescharacteristic, complemented
1221C8×D4—591no—
1222C8×D4—591no—
1223#432—591no—
1224#431—591no—
1225#418—591no—
1226#418—591no—
1227#418—591no—
1228#418C2×D5911yescharacteristic, complemented
1229C2×#102—591no—
1230C2×#102—591no—
1231C2×#102—591no—
1232C2×#102C2×D5911yescharacteristic, complemented
1233#407—591no—
1234#407—591no—
1235C2×C22⋊C8—591no—
1236C2×C22⋊C8—591no—
1237C59#6159111yescharacteristic, complemented, Sylow
1238C25—1181no—
1239C25—1181no—
1240C2×#41—591no—
1241C2×#41—591no—
1242C2×#41—1181no—
1243C22×D4—21no—
1244C22×D4—591no—
1245C22×D4—591no—
1246C22×D4—591no—
1247C22×D4—591no—
1248C22×D4—591no—
1249C22×D4—591no—
1250C22×D4—591no—
1251C22×D4—591no—
1252C22×D4—591no—
1253C22×D4—591no—
1254C22×D4—591no—
1255C22×D4—591no—
1256C22×D4—1181no—
1257C22×D4—1181no—
1258C22×D4—1181no—
1259C22×D4—1181no—
1260C22×D4—1181no—
1261C22×D4—1181no—
1262C22×D4—1181no—
1263C22×D4—1181no—
1264C22×D4—1181no—
1265C22×D4—1181no—
1266C22×D4—1181no—
1267C22×D4—1181no—
1268C22×D4—1181no—
1269C22×D4—1181no—
1270C22×D4—1181no—
1271C22×D4—1181no—
1272C22×D4—1181no—
1273C22×D4—1181no—
1274C22×D4—1181no—
1275C22×D4—1181no—
1276C22×D4—2362no—
1277C22×D4—2362no—
1278C22×D4—2362no—
1279C22×D4—2362no—
1280C22×D4—2368no—
1281C22×D4C22×D5911yescharacteristic
1282C22×D4C22×D5911yescharacteristic
1283C23×C4—591no—
1284C23×C4—591no—
1285C23×C4—1181no—
1286AGL(1,ℤ/8)—2362no—
1287AGL(1,ℤ/8)—2362no—
1288AGL(1,ℤ/8)—2362no—
1289AGL(1,ℤ/8)—2362no—
1290C2×SD16—591no—
1291C2×SD16—591no—
1292C2×SD16—591no—
1293C2×SD16—591no—
1294C2×SD16—591no—
1295C2×SD16—591no—
1296C2×D8—591no—
1297C2×D8—591no—
1298C2×D8—591no—
1299C2×D8—591no—
1300C2×D8—591no—
1301C2×D8—591no—
1302C2×D8—591no—
1303C2×D8—591no—
1304C2×D8—591no—
1305C2×D8—591no—
1306C2×D8—591no—
1307C2×D8—591no—
1308C2×D8—591no—
1309C2×D8—591no—
1310C2×D8—591no—
1311C2×D8—2362no—
1312C2×D8—2362no—
1313C2×D8—2362no—
1314C2×D8—2362no—
1315C2×D8C22×D5911yescharacteristic
1316C2×D8C22×D5911yescharacteristic, complemented
1317C2×D8C22×D5911yescharacteristic, complemented
1318C2×M16—591no—
1319C2×M16—591no—
1320C2×M16—591no—
1321C2×M16C22×D5911yescharacteristic, complemented
1322C22×C8—591no—
1323C22×C8—591no—
1324C22×C8—591no—
1325C22×C8C22×D5911yescharacteristic, complemented
1326C4⋊Q8—591no—
1327#127—591no—
1328#127—591no—
1329#127—591no—
1330#127—591no—
1331#127—1181no—
1332#127—1181no—
1333#127—1181no—
1334#127C22×D5911yescharacteristic
1335#126—21no—
1336#126—1181no—
1337#126—1181no—
1338#125—1181no—
1339#125C22×D5911yescharacteristic, complemented
1340#124—591no—
1341#124—1181no—
1342#124—1181no—
1343#124—1181no—
1344#123—21no—
1345#123—1181no—
1346#123—1181no—
1347#123—1181no—
1348#123—1181no—
1349#123—1181no—
1350#123—1181no—
1351C22⋊Q8—591no—
1352C22⋊Q8—591no—
1353C22⋊Q8—591no—
1354C22⋊Q8—1181no—
1355C22⋊Q8—1181no—
1356#121—21no—
1357#121—21no—
1358#121—591no—
1359#121—591no—
1360#121—591no—
1361#121—591no—
1362#121—591no—
1363#121—591no—
1364#121—591no—
1365#121—591no—
1366#121—591no—
1367#121—591no—
1368#121—591no—
1369#121—591no—
1370#121—591no—
1371#121—1181no—
1372#121—1181no—
1373#121—1181no—
1374#121—1181no—
1375#121—1181no—
1376#121—1181no—
1377#121—1181no—
1378#121—1181no—
1379#121—1181no—
1380#121—1181no—
1381#121—1181no—
1382#121—1181no—
1383#121—1181no—
1384#121—1181no—
1385#121—1181no—
1386#121—1181no—
1387#121—1181no—
1388#121—1181no—
1389#121—1181no—
1390#121—1181no—
1391#121—1181no—
1392#121—1181no—
1393#121—1181no—
1394#121C22×D5911yescharacteristic
1395#121C22×D5911yescharacteristic
1396#121C22×D5911yescharacteristic, complemented
1397#121C22×D5911yescharacteristic, complemented
1398#120—21no—
1399#120—21no—
1400#120—1181no—
1401#120—1181no—
1402#120—1181no—
1403#120—1181no—
1404#120—1181no—
1405#120—1181no—
1406#120—1181no—
1407#120—1181no—
1408#120—1181no—
1409#120—1181no—
1410#120—1181no—
1411#120—1181no—
1412#120—1181no—
1413#120—1181no—
1414#120—1181no—
1415#120—1181no—
1416#120—1181no—
1417#120—1181no—
1418#120—1181no—
1419#120—1181no—
1420C4×Q8—591no—
1421C4×D4—21no—
1422C4×D4—591no—
1423C4×D4—591no—
1424C4×D4—591no—
1425C4×D4—591no—
1426C4×D4—591no—
1427C4×D4—591no—
1428C4×D4—591no—
1429C4×D4—591no—
1430C4×D4—591no—
1431C4×D4—591no—
1432C4×D4—591no—
1433C4×D4—591no—
1434C4×D4—1181no—
1435C4×D4—1181no—
1436C4×D4—1181no—
1437C4×D4—1181no—
1438C4×D4—1181no—
1439C4×D4—1181no—
1440C4×D4—1181no—
1441C4×D4—1181no—
1442C4×D4—1181no—
1443C4×D4—1181no—
1444C4×D4—1181no—
1445C4×D4C22×D5911yescharacteristic
1446C4×D4C22×D5911yescharacteristic
1447C4×D4C22×D5911yescharacteristic, complemented
1448#117—591no—
1449#117—1181no—
1450#117—1181no—
1451#117C22×D5911yescharacteristic, complemented
1452C2×C4⋊C4—591no—
1453C2×C4⋊C4—591no—
1454C2×C4⋊C4—591no—
1455C2×C4⋊C4C22×D5911yescharacteristic, complemented
1456C2×C22⋊C4—591no—
1457C2×C22⋊C4—591no—
1458C2×C22⋊C4—1181no—
1459C2×C22⋊C4—1181no—
1460C2×C22⋊C4—1181no—
1461C2×C22⋊C4—1181no—
1462C2×C22⋊C4—1181no—
1463C2×C22⋊C4—1181no—
1464C2×C22⋊C4—1181no—
1465C2×C42—591no—
1466#107—591no—
1467#107C22×D5911yescharacteristic, complemented
1468#106—591no—
1469#106—591no—
1470#106—591no—
1471#106—591no—
1472#106C22×D5911yescharacteristic, complemented
1473#106C22×D5911yescharacteristic, complemented
1474C4⋊C8—591no—
1475C4⋊C8—591no—
1476C4⋊C8—591no—
1477C4⋊C8C22×D5911yescharacteristic, complemented
1478#103—591no—
1479#103—591no—
1480#102—591no—
1481#102—591no—
1482#102—591no—
1483#102—591no—
1484#102—591no—
1485#102—591no—
1486#102—591no—
1487#102—591no—
1488#102—591no—
1489#102—591no—
1490#102—591no—
1491#102—591no—
1492#102—591no—
1493#102—591no—
1494#102—591no—
1495#102—591no—
1496#102—591no—
1497#102—591no—
1498#102—591no—
1499#102—591no—
1500#102C22×D5911yescharacteristic
1501#102C22×D5911yescharacteristic
1502#102C22×D5911yescharacteristic
1503#102C22×D5911yescharacteristic, complemented
1504#102C22×D5911yescharacteristic, complemented
1505#102C22×D5911yescharacteristic, complemented
1506#102C22×D5911yescharacteristic, complemented
1507#102C22×D5911yescharacteristic, complemented
1508#102C22×D5911yescharacteristic, complemented
1509#102C22×D5911yescharacteristic, complemented
1510C22⋊C8—591no—
1511C22⋊C8—591no—
1512C22⋊C8—591no—
1513C22⋊C8—591no—
1514C22⋊C8—591no—
1515C22⋊C8—591no—
1516C22⋊C8—591no—
1517C22⋊C8—591no—
1518C22⋊C8—591no—
1519C22⋊C8—591no—
1520C22⋊C8C22×D5911yescharacteristic, complemented
1521C22⋊C8C22×D5911yescharacteristic, complemented
1522#97—591no—
1523#97C22×D5911yescharacteristic, complemented
1524C4×C8—591no—
1525C4×C8—591no—
1526C24—21no—
1527C24—21no—
1528C24—591no—
1529C24—591no—
1530C24—1181no—
1531C24—1181no—
1532C24—1181no—
1533C24—1181no—
1534C24—1181no—
1535C24—1181no—
1536C24—1181no—
1537C24—1181no—
1538C24—1181no—
1539C24—1181no—
1540C24—1181no—
1541C24—4722no—
1542C24—4722no—
1543C24—2364no—
1544C24—2364no—
1545C24—2364no—
1546C24—2364no—
1547#41—4722no—
1548#41—2361no—
1549#41—2361no—
1550#41—2361no—
1551#41—2361no—
1552C2×Q8—591no—
1553C2×Q8—1181no—
1554C2×D4—22no—
1555C2×D4—22no—
1556C2×D4—21no—
1557C2×D4—21no—
1558C2×D4—21no—
1559C2×D4—21no—
1560C2×D4—21no—
1561C2×D4—21no—
1562C2×D4—21no—
1563C2×D4—21no—
1564C2×D4—41no—
1565C2×D4—41no—
1566C2×D4—44no—
1567C2×D4—591no—
1568C2×D4—591no—
1569C2×D4—591no—
1570C2×D4—591no—
1571C2×D4—591no—
1572C2×D4—591no—
1573C2×D4—591no—
1574C2×D4—591no—
1575C2×D4—1182no—
1576C2×D4—1182no—
1577C2×D4—1181no—
1578C2×D4—1181no—
1579C2×D4—1181no—
1580C2×D4—1181no—
1581C2×D4—1181no—
1582C2×D4—1181no—
1583C2×D4—1181no—
1584C2×D4—1181no—
1585C2×D4—1181no—
1586C2×D4—1181no—
1587C2×D4—1181no—
1588C2×D4—1181no—
1589C2×D4—1181no—
1590C2×D4—1181no—
1591C2×D4—1181no—
1592C2×D4—1181no—
1593C2×D4—1181no—
1594C2×D4—1181no—
1595C2×D4—1181no—
1596C2×D4—1181no—
1597C2×D4—1181no—
1598C2×D4—1184no—
1599C2×D4—1182no—
1600C2×D4—1182no—
1601C2×D4—1182no—
1602C2×D4—1182no—
1603C2×D4—1182no—
1604C2×D4—1182no—
1605C2×D4—1181no—
1606C2×D4—1181no—
1607C2×D4—1181no—
1608C2×D4—1181no—
1609C2×D4—1181no—
1610C2×D4—1181no—
1611C2×D4—1181no—
1612C2×D4—1181no—
1613C2×D4—1181no—
1614C2×D4—1181no—
1615C2×D4—1181no—
1616C2×D4—1181no—
1617C2×D4—1181no—
1618C2×D4—4722no—
1619C2×D4—4722no—
1620C2×D4—4722no—
1621C2×D4—2361no—
1622C2×D4—2361no—
1623C2×D4—2361no—
1624C2×D4—2361no—
1625C2×D4—2364no—
1626C2×D4—2361no—
1627C2×D4—2361no—
1628C2×D4—2361no—
1629C2×D4—2361no—
1630C2×D4—2361no—
1631C2×D4—2361no—
1632C2×D4—2361no—
1633C2×D4—2361no—
1634C2×D4—2361no—
1635C2×D4—2361no—
1636C2×D4—2364no—
1637C2×D4—2364no—
1638C2×D4—2364no—
1639C2×D4—2364no—
1640C2×D4—2364no—
1641C2×D4—2364no—
1642C2×D4—2364no—
1643C2×D4—2364no—
1644C2×D4—2364no—
1645C2×D4—2364no—
1646C2×D4—2364no—
1647C2×D4—2364no—
1648C2×D4—2364no—
1649C2×D4—2364no—
1650C2×D4—2364no—
1651C2×D4—2364no—
1652C2×D4D4×D5911yescharacteristic
1653C2×D4C23×D5911yescharacteristic
1654C2×D4C23×D5911yescharacteristic
1655C2×D4C23×D5911yescharacteristic
1656C2×D4C23×D5911yescharacteristic
1657C22×C4—21no—
1658C22×C4—21no—
1659C22×C4—21no—
1660C22×C4—591no—
1661C22×C4—591no—
1662C22×C4—591no—
1663C22×C4—591no—
1664C22×C4—591no—
1665C22×C4—591no—
1666C22×C4—591no—
1667C22×C4—591no—
1668C22×C4—591no—
1669C22×C4—591no—
1670C22×C4—591no—
1671C22×C4—1181no—
1672C22×C4—1181no—
1673C22×C4—1181no—
1674C22×C4—1181no—
1675C22×C4—1181no—
1676C22×C4—1181no—
1677C22×C4—1181no—
1678C22×C4—1181no—
1679C22×C4—1181no—
1680C22×C4—2361no—
1681C22×C4—2361no—
1682C22×C4—2361no—
1683C22×C4—2361no—
1684C22×C4—2364no—
1685C22×C4C23×D5911yescharacteristic
1686C22×C4C23×D5911yescharacteristic
1687SD16—1182no—
1688SD16—1182no—
1689SD16—2361no—
1690SD16—2361no—
1691SD16—2361no—
1692SD16—2361no—
1693D8—22no—
1694D8—41no—
1695D8—41no—
1696D8—1182no—
1697D8—1182no—
1698D8—1182no—
1699D8—1182no—
1700D8—1182no—
1701D8—2361no—
1702D8—2361no—
1703D8—2361no—
1704D8—2361no—
1705D8—2361no—
1706D8—2361no—
1707D8—2361no—
1708D8—2361no—
1709D8—2361no—
1710D8—2361no—
1711M16—41no—
1712M16—2361no—
1713M16—2361no—
1714M16—2361no—
1715C2×C8—41no—
1716C2×C8—591no—
1717C2×C8—591no—
1718C2×C8—591no—
1719C2×C8—591no—
1720C2×C8—2361no—
1721C2×C8—2361no—
1722C2×C8—2361no—
1723C2×C8C23×D5911yescharacteristic
1724C2×C8C23×D5911yescharacteristic
1725C2×C8C23×D5911yescharacteristic
1726C2×C8C23×D5911yescharacteristic
1727C4⋊C4—21no—
1728C4⋊C4—21no—
1729C4⋊C4—21no—
1730C4⋊C4—591no—
1731C4⋊C4—591no—
1732C4⋊C4—591no—
1733C4⋊C4—591no—
1734C4⋊C4—591no—
1735C4⋊C4—1181no—
1736C4⋊C4—1181no—
1737C4⋊C4—1181no—
1738C4⋊C4—1181no—
1739C4⋊C4—1181no—
1740C4⋊C4—1181no—
1741C4⋊C4—1181no—
1742C4⋊C4D4×D5911yescharacteristic
1743C4⋊C4C23×D5911yescharacteristic
1744C4⋊C4C23×D5911yescharacteristic
1745C4⋊C4C23×D5911yescharacteristic
1746C4⋊C4C23×D5911yescharacteristic
1747C22⋊C4—21no—
1748C22⋊C4—21no—
1749C22⋊C4—21no—
1750C22⋊C4—21no—
1751C22⋊C4—21no—
1752C22⋊C4—21no—
1753C22⋊C4—21no—
1754C22⋊C4—591no—
1755C22⋊C4—591no—
1756C22⋊C4—591no—
1757C22⋊C4—591no—
1758C22⋊C4—591no—
1759C22⋊C4—591no—
1760C22⋊C4—1181no—
1761C22⋊C4—1181no—
1762C22⋊C4—1181no—
1763C22⋊C4—1181no—
1764C22⋊C4—1181no—
1765C22⋊C4—1181no—
1766C22⋊C4—1181no—
1767C22⋊C4—1181no—
1768C22⋊C4—1181no—
1769C22⋊C4—1181no—
1770C22⋊C4—1181no—
1771C22⋊C4—1181no—
1772C22⋊C4—1181no—
1773C22⋊C4—1181no—
1774C22⋊C4—1181no—
1775C22⋊C4—1181no—
1776C22⋊C4—1181no—
1777C22⋊C4—1181no—
1778C22⋊C4—1181no—
1779C22⋊C4—1181no—
1780C22⋊C4—1181no—
1781C22⋊C4—1181no—
1782C22⋊C4—1181no—
1783C22⋊C4—1181no—
1784C22⋊C4D4×D5911yescharacteristic
1785C22⋊C4D4×D5911yescharacteristic
1786C42—21no—
1787C42—591no—
1788C42—591no—
1789C42—591no—
1790C42—1181no—
1791C42—1181no—
1792C42C23×D5911yescharacteristic
1793C23—21no—
1794C23—21no—
1795C23—21no—
1796C23—21no—
1797C23—42no—
1798C23—42no—
1799C23—42no—
1800C23—42no—
1801C23—81no—
1802C23—81no—
1803C23—591no—
1804C23—591no—
1805C23—591no—
1806C23—1182no—
1807C23—1182no—
1808C23—1182no—
1809C23—1184no—
1810C23—1182no—
1811C23—1181no—
1812C23—1181no—
1813C23—1181no—
1814C23—1181no—
1815C23—1181no—
1816C23—4721no—
1817C23—4721no—
1818C23—4721no—
1819C23—4721no—
1820C23—4721no—
1821C23—4721no—
1822C23—4721no—
1823C23—4721no—
1824C23—4721no—
1825C23—4721no—
1826C23—47216no—
1827C23—47216no—
1828C23—2361no—
1829C23—2361no—
1830C23—2362no—
1831C23—2362no—
1832C23—2362no—
1833C23—2362no—
1834C23—2362no—
1835C23—2362no—
1836C23—2362no—
1837C23—2362no—
1838C23—2362no—
1839C23—2362no—
1840C23—2362no—
1841C23—2362no—
1842C23—2362no—
1843C23—2362no—
1844C23—2362no—
1845C23—2362no—
1846C23—2362no—
1847C23—2362no—
1848C23—2362no—
1849C23—2362no—
1850C23—2362no—
1851C23—2362no—
1852C23C2×D4×D5911yescharacteristic
1853C23C2×D4×D5911yescharacteristic
1854Q8—1181no—
1855Q8—1181no—
1856Q8—4721no—
1857D4—22no—
1858D4—21no—
1859D4—21no—
1860D4—21no—
1861D4—21no—
1862D4—21no—
1863D4—21no—
1864D4—21no—
1865D4—42no—
1866D4—42no—
1867D4—42no—
1868D4—42no—
1869D4—42no—
1870D4—42no—
1871D4—81no—
1872D4—81no—
1873D4—594no—
1874D4—592no—
1875D4—1182no—
1876D4—1182no—
1877D4—1184no—
1878D4—1181no—
1879D4—1181no—
1880D4—1181no—
1881D4—1181no—
1882D4—1181no—
1883D4—1181no—
1884D4—1181no—
1885D4—1181no—
1886D4—1181no—
1887D4—4721no—
1888D4—4721no—
1889D4—4721no—
1890D4—4721no—
1891D4—4721no—
1892D4—4721no—
1893D4—4721no—
1894D4—4721no—
1895D4—4721no—
1896D4—4721no—
1897D4—4721no—
1898D4—2362no—
1899D4—2362no—
1900D4—2362no—
1901D4—2362no—
1902D4—2362no—
1903D4—2362no—
1904D4—2362no—
1905D4—2362no—
1906D4—2362no—
1907D4—2362no—
1908D4—2362no—
1909D4—2362no—
1910D4—2362no—
1911D4—2362no—
1912D4—2362no—
1913D4—2362no—
1914D4—2362no—
1915D4—2362no—
1916D4—2362no—
1917D4—2362no—
1918D4—2362no—
1919D4—2362no—
1920D4#1427377312yes—
1921C2×C4—21no—
1922C2×C4—21no—
1923C2×C4—21no—
1924C2×C4—21no—
1925C2×C4—21no—
1926C2×C4—21no—
1927C2×C4—21no—
1928C2×C4—21no—
1929C2×C4—42no—
1930C2×C4—81no—
1931C2×C4—81no—
1932C2×C4—591no—
1933C2×C4—591no—
1934C2×C4—591no—
1935C2×C4—591no—
1936C2×C4—591no—
1937C2×C4—1182no—
1938C2×C4—1182no—
1939C2×C4—1181no—
1940C2×C4—1181no—
1941C2×C4—1181no—
1942C2×C4—1181no—
1943C2×C4—1181no—
1944C2×C4—1181no—
1945C2×C4—1181no—
1946C2×C4—1181no—
1947C2×C4—1181no—
1948C2×C4—4721no—
1949C2×C4—4721no—
1950C2×C4—4721no—
1951C2×C4—4721no—
1952C2×C4—2361no—
1953C2×C4—2361no—
1954C2×C4—2361no—
1955C2×C4—2361no—
1956C2×C4—2362no—
1957C2×C4—2362no—
1958C2×C4—2362no—
1959C2×C4—2362no—
1960C2×C4—2362no—
1961C2×C4—2361no—
1962C2×C4—2361no—
1963C2×C4C2×D4×D5911yescharacteristic
1964C2×C4C2×D4×D5911yescharacteristic
1965C2×C4C2×D4×D5911yescharacteristic
1966C2×C4C2×D4×D5911yescharacteristic
1967C2×C4C24×D5911yescharacteristic
1968C8—21no—
1969C8—21no—
1970C8—21no—
1971C8—21no—
1972C8—1181no—
1973C8—1181no—
1974C8—1181no—
1975C8—1181no—
1976C22—21no—
1977C22—21no—
1978C22—21no—
1979C22—22no—
1980C22—21no—
1981C22—21no—
1982C22—41no—
1983C22—41no—
1984C22—41no—
1985C22—41no—
1986C22—41no—
1987C22—41no—
1988C22—41no—
1989C22—41no—
1990C22—41no—
1991C22—41no—
1992C22—41no—
1993C22—84no—
1994C22—84no—
1995C22—592no—
1996C22—592no—
1997C22—1181no—
1998C22—1181no—
1999C22—1181no—
2000C22—1181no—
2001C22—1181no—
2002C22—1182no—
2003C22—1181no—
2004C22—1181no—
2005C22—9442no—
2006C22—9442no—
2007C22—4724no—
2008C22—4724no—
2009C22—4724no—
2010C22—4724no—
2011C22—4724no—
2012C22—4724no—
2013C22—4724no—
2014C22—4724no—
2015C22—2364no—
2016C22—2364no—
2017C22—2368no—
2018C22—2361no—
2019C22—2361no—
2020C22—2361no—
2021C22—2361no—
2022C22—2361no—
2023C22—2361no—
2024C22—2361no—
2025C22—2361no—
2026C22—2361no—
2027C22—2361no—
2028C22—2361no—
2029C22—2361no—
2030C22—2361no—
2031C22—2361no—
2032C22AGL(1,ℤ/8)×D5912yes—
2033C22C22×D4×D5911yescharacteristic
2034C4—21no—
2035C4—21no—
2036C4—21no—
2037C4—21no—
2038C4—41no—
2039C4—41no—
2040C4—41no—
2041C4—41no—
2042C4—592no—
2043C4—1181no—
2044C4—1181no—
2045C4—1181no—
2046C4—1181no—
2047C4—2361no—
2048C4—2361no—
2049C4—2361no—
2050C4H(5,𝔽2)×D5911yescharacteristic
2051C4C2×#1427377311yescharacteristic
2052C2—22no—
2053C2—41no—
2054C2—42no—
2055C2—81no—
2056C2—81no—
2057C2—81no—
2058C2—1182no—
2059C2—1182no—
2060C2—4721no—
2061C2—4721no—
2062C2—4721no—
2063C2—4721no—
2064C2—2361no—
2065C2—2362no—
2066C2#2143772611yescharacteristic
2067C2C2×AGL(1,ℤ/8)×D5911yescharacteristic
2068C2#576×D5911yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3318C2
socleC22×C59C23×D4
hypercenter#3318D59
hypocenterC59#61591
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3318

Complements

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

NH ≅ G/Ntype
1. #21438121C2semidirect
2. D42×D59C2semidirect
3. #21436336C2semidirect
4. #21436334C2semidirect
5. #21436236C2semidirect
6. #21436234C2semidirect
7. #21436231C2semidirect
8. #21435918C2semidirect
9. #21435916C2semidirect
10. #21435770C2semidirect
11. #21435766C2semidirect
12. #21435714C2semidirect
13. #21435713C2semidirect
14. #21435581C2semidirect
15. #21435578C2semidirect
16. #21435572C2semidirect
17. #21435571C2semidirect
18. #21435115C2semidirect
19. #21435013C2semidirect
20. #21434895C2semidirect
21. #21434892C2semidirect
22. #21434865C2semidirect
23. #21434856C2semidirect
24. #21434185C2semidirect
25. #21434148C2semidirect
26. #21433325C2semidirect
27. #21433320C2semidirect
28. C2×#16837537C2semidirect
29. #447×D59C2semidirect
30. #21433126C2semidirect
31. C59×#3318C2semidirect
33. C22×D4×D59C22semidirect
34. C22×D4×D59C22semidirect
35. C2×#14273755C22semidirect
36. C2×#14273753C22semidirect
37. C2×#14273751C22semidirect
38. C2×#14273751C22semidirect
39. C22×D472C22semidirect
40. C22×#11745669C22semidirect
41. C2×D8×D59C22semidirect
42. C2×D8×D59C22semidirect
43. #16838115C22semidirect
44. #16838107C22semidirect
45. #16838105C22semidirect
47. #16838070C22semidirect
49. #16838048C22semidirect
50. #16838047C22semidirect
52. D4×D236C22semidirect
53. D4×D236C22semidirect
54. #16838037C22semidirect
58. #16838036C22semidirect
59. #16838036C22semidirect
62. D4×C22⋊D59C22semidirect
68. #16837949C22semidirect
69. #127×D59C22semidirect
70. #16837937C22semidirect
71. #16837914C22semidirect
72. #16837912C22semidirect
73. C2×#14273702C22semidirect
75. #121×D59C22semidirect
76. #121×D59C22semidirect
77. #121×D59C22semidirect
82. C4×D4×D59C22semidirect
83. #16837791C22semidirect
84. #16837789C22semidirect
85. #16837777C22semidirect
86. #16837777C22semidirect
87. #16837768C22semidirect
88. #16837747C22semidirect
89. #16837747C22semidirect
90. #16837739C22semidirect
91. #16837729C22semidirect
92. #16837726C22semidirect
93. #16837725C22semidirect
94. #16837722C22semidirect
95. #16837722C22semidirect
96. #16837722C22semidirect
97. #16837720C22semidirect
98. #16837719C22semidirect
99. #16837719C22semidirect
100. #16837699C22semidirect
101. #16837691C22semidirect
102. #16837690C22semidirect
103. #16837656C22semidirect
104. #16837656C22semidirect
105. #16837655C22semidirect
106. #16837654C22semidirect
107. #16837654C22semidirect
108. #16837653C22semidirect
109. #16837653C22semidirect
110. #16837639C22semidirect
111. #16837637C22semidirect
112. #16837636C22semidirect
113. #16837632C22semidirect
114. #16837631C22semidirect
115. #16837630C22semidirect
116. #16837629C22semidirect
117. #16837618C22semidirect
118. #16837617C22semidirect
119. #16837601C22semidirect
120. #16837601C22semidirect
121. #16837598C22semidirect
122. #16837597C22semidirect
123. #16837596C22semidirect
124. #16837596C22semidirect
125. #16837596C22semidirect
126. #16837595C22semidirect
127. #16837594C22semidirect
128. #16837555C22semidirect
129. #16837554C22semidirect
130. #16837554C22semidirect
131. #16837554C22semidirect
132. #16837554C22semidirect
133. #16837554C22semidirect
134. #16837553C22semidirect
135. #16837549C22semidirect
136. #16837548C22semidirect
137. #16837545C22semidirect
138. #16837544C22semidirect
139. #16837538C22semidirect
140. #16837538C22semidirect
142. #16837537C22semidirect
143. #16837537C22semidirect
144. #16837537C22semidirect
145. #16837537C22semidirect
146. #16837537C22semidirect
147. #16837537C22semidirect
148. #16837537C22semidirect
149. #16837537C22semidirect
150. #16837537C22semidirect
151. #16837537C22semidirect
152. #16837537C22semidirect
153. #16837537C22semidirect
154. #16837536C22semidirect
155. #16837535C22semidirect
156. #16837535C22semidirect
157. #16837535C22semidirect
158. #16837534C22semidirect
159. #16837534C22semidirect
160. #16837534C22semidirect
161. #16837534C22semidirect
162. #16837515C22semidirect
163. #16837512C22semidirect
164. #16837512C22semidirect
165. #16837493C22semidirect
166. #16837489C22semidirect
167. #16837484C22semidirect
168. #16837482C22semidirect
169. #16837478C22semidirect
170. #16837477C22semidirect
171. #16837475C22semidirect
172. #16837474C22semidirect
173. #16837472C22semidirect
174. C8×C22⋊D59C22semidirect
175. (C22⋊D59)⋊C8C22semidirect
176. #16837457C22semidirect
177. #16837454C22semidirect
178. #16837406C22semidirect
179. #16837405C22semidirect
180. #16837405C22semidirect
181. C2×#14273647C22semidirect
182. #102×D59C22semidirect
183. #102×D59C22semidirect
184. #16837365C22semidirect
185. #16837364C22semidirect
186. C2×(C2×D59)⋊C8C22semidirect
187. C22⋊C8×D59C22semidirect
188. C59×#553C22semidirect
189. D42×C59C22semidirect
190. C59×#490C22semidirect
191. C59×#482C22semidirect
192. C59×#481C22semidirect
193. C59×#478C22semidirect
194. C59×#469C22semidirect
195. C59×#466C22semidirect
196. C59×#459C22semidirect
197. C59×#447C22semidirect
198. C59×#447C22semidirect
199. C59×#442C22semidirect
200. C59×#435C22semidirect
201. C59×#418C22semidirect
202. C2×#102×C59C22semidirect
206. C2×#11745685C23semidirect
207. C2×#11745687C23semidirect
212. C22×D236C23semidirect
244. C2×D4×D59C23semidirect
253. C2×#11745660C23semidirect
254. C2×#11745660C23semidirect
256. C2×#11745670C23semidirect
257. C2×#11745670C23semidirect
261. C2×D472C23semidirect
262. C2×D472C23semidirect
263. C2×D472C23semidirect
264. C2×D472C23semidirect
269. C2×#11745669C23semidirect
270. C2×#11745669C23semidirect
271. C2×#11745669C23semidirect
272. C2×#11745669C23semidirect
273. C2×#11745669C23semidirect
274. C2×#11745669C23semidirect
277. C2×#11745664C23semidirect
278. C2×#11745659C23semidirect
279. C2×#11745659C23semidirect
280. C22×C59⋊C8C23semidirect
281. C2×C8×D59C23semidirect
282. C2×C8×D59C23semidirect
283. #14273726C23semidirect
290. #14273723C23semidirect
295. #14273715C23semidirect
305. #14273707C23semidirect
307. #14273706C23semidirect
317. #14273702C23semidirect
318. #14273702C23semidirect
319. #14273702C23semidirect
324. #14273701C23semidirect
365. #14273692C23semidirect
370. C4×D236C23semidirect
378. #14273689C23semidirect
390. #14273685C23semidirect
394. C4⋊C4×D59C23semidirect
405. #14273660C23semidirect
406. #14273659C23semidirect
407. #14273658C23semidirect
408. #14273658C23semidirect
409. #14273658C23semidirect
410. C4⋊(C59⋊C8)C23semidirect
411. Dic59⋊C8C23semidirect
412. Dic59⋊C8C23semidirect
413. #14273652C23semidirect
414. #14273650C23semidirect
416. #14273649C23semidirect
417. #14273649C23semidirect
418. #14273649C23semidirect
419. #14273649C23semidirect
421. #14273648C23semidirect
422. #14273648C23semidirect
423. #14273648C23semidirect
427. #14273647C23semidirect
428. #14273647C23semidirect
429. #14273647C23semidirect
430. #14273647C23semidirect
431. #14273647C23semidirect
432. #14273647C23semidirect
433. #14273647C23semidirect
434. #14273647C23semidirect
435. C22⋊(C59⋊C8)C23semidirect
436. C22⋊(C59⋊C8)C23semidirect
441. (C2×D59)⋊C8C23semidirect
442. (C2×D59)⋊C8C23semidirect
443. (C2×D59)⋊C8C23semidirect
444. (C2×D59)⋊C8C23semidirect
445. #14273638C23semidirect
446. C8×Dic59C23semidirect
447. C8×Dic59C23semidirect
452. C2×D8×C59C23semidirect
453. C2×D8×C59C23semidirect
454. C2×M16×C59C23semidirect
455. C22×C8×C59C23semidirect
458. #125×C59C23semidirect
464. #121×C59C23semidirect
465. #121×C59C23semidirect
471. C4×D4×C59C23semidirect
472. #117×C59C23semidirect
473. C2×C4⋊C4×C59C23semidirect
474. #107×C59C23semidirect
475. #106×C59C23semidirect
476. #106×C59C23semidirect
477. C4⋊C8×C59C23semidirect
481. #102×C59C23semidirect
482. #102×C59C23semidirect
483. #102×C59C23semidirect
484. #102×C59C23semidirect
485. #102×C59C23semidirect
486. #102×C59C23semidirect
487. #102×C59C23semidirect
488. C22⋊C8×C59C23semidirect
489. C22⋊C8×C59C23semidirect
490. #97×C59C23semidirect
875. C22⋊D59AGL(1,ℤ/8)semidirect
1025. #3318D59semidirect
1081. #553C2×D59semidirect
1100. D42C2×D59semidirect
1124. #490C2×D59semidirect
1131. #482C2×D59semidirect
1138. #481C2×D59semidirect
1140. #478C2×D59semidirect
1150. #469C2×D59semidirect
1154. #466C2×D59semidirect
1170. #459C2×D59semidirect
1205. #447C2×D59semidirect
1206. #447C2×D59semidirect
1210. #442C2×D59semidirect
1220. #435C2×D59semidirect
1228. #418C2×D59semidirect
1232. C2×#102C2×D59semidirect
1237. C59#61591semidirect
1316. C2×D8C22×D59semidirect
1317. C2×D8C22×D59semidirect
1321. C2×M16C22×D59semidirect
1325. C22×C8C22×D59semidirect
1339. #125C22×D59semidirect
1396. #121C22×D59semidirect
1397. #121C22×D59semidirect
1447. C4×D4C22×D59semidirect
1451. #117C22×D59semidirect
1455. C2×C4⋊C4C22×D59semidirect
1467. #107C22×D59semidirect
1472. #106C22×D59semidirect
1473. #106C22×D59semidirect
1477. C4⋊C8C22×D59semidirect
1503. #102C22×D59semidirect
1504. #102C22×D59semidirect
1505. #102C22×D59semidirect
1506. #102C22×D59semidirect
1507. #102C22×D59semidirect
1508. #102C22×D59semidirect
1509. #102C22×D59semidirect
1520. C22⋊C8C22×D59semidirect
1521. C22⋊C8C22×D59semidirect
1523. #97C22×D59semidirect

Maximal subgroups

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

subgroupindex
#214381212
D42×D592
#214363362
#214363342
#214362362
#214362342
#214362312
#214359182
#214359162
#214357702
#214357662
#214357142
#214357132
#214355812
#214355782
#214355722
#214355712
#214351152
#214350132
#214348952
#214348922
#214348652
#214348562
#214341852
#214341482
#214333252
#214333202
C2×#168375372
#447×D592
#214331262
C59×#33182
#6159159