Finite Group Databasebeta

← #29474002

Subgroups — #29474002

Order 15104.

2392 conjugacy classes of subgroups.

The subgroup lattice has 1992 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437854C211yesmaximal, characteristic, complemented
2#21437585C211yesmaximal, characteristic, complemented
3#21436419C211yesmaximal, characteristic, complemented
4#21436399C211yesmaximal, characteristic, complemented
5#21436084C211yesmaximal, characteristic, complemented
6#21436056C211yesmaximal, characteristic, complemented
7#21436051C211yesmaximal, characteristic, complemented
8#21435957C211yesmaximal, characteristic, complemented
9#21435907C211yesmaximal, characteristic, complemented
10#21435785C211yesmaximal, characteristic, complemented
11#21435770C211yesmaximal, characteristic, complemented
12#21435709C211yesmaximal, characteristic, complemented
13#21435693C211yesmaximal, characteristic, complemented
14#21435593C211yesmaximal, characteristic, complemented
15#21435592C211yesmaximal, characteristic, complemented
16#21435582C211yesmaximal, characteristic, complemented
17#21435581C211yesmaximal, characteristic, complemented
18#21435092C211yesmaximal, characteristic, complemented
19#21435028C211yesmaximal, characteristic, complemented
20#21434911C211yesmaximal, characteristic, complemented
21#21434909C211yesmaximal, characteristic, complemented
22#21434866C211yesmaximal, characteristic, complemented
23#21434856C211yesmaximal, characteristic, complemented
24#21434245C211yesmaximal, characteristic, complemented
25#21434159C211yesmaximal, characteristic, complemented
26#21433349C211yesmaximal, characteristic, complemented
27#21433347C211yesmaximal, characteristic, complemented
28C2×#16837550C211yesmaximal, characteristic, complemented
29#449×D59C211yesmaximal, characteristic, complemented
30#21433126C211yesmaximal, characteristic, complemented
31C59×#3308C211yesmaximal, characteristic, complemented
32C2×#14273773—21no—
33C22×#11745689C2211yescharacteristic, complemented
34C2×#41×D59C2211yescharacteristic, complemented
35C2×#14273755C2211yescharacteristic, complemented
36C2×#14273754C2211yescharacteristic, complemented
37C2×#14273754C2211yescharacteristic, complemented
38C2×#14273752C2211yescharacteristic, complemented
39C22×#11745671C2211yescharacteristic, complemented
40C2×SD16×D59C2211yescharacteristic, complemented
41C22×D472C2211yescharacteristic, complemented
42C2×D8×D59C2211yescharacteristic, complemented
43#16838071C2211yescharacteristic, complemented
44Q8×C22⋊D59C2211yescharacteristic, complemented
45#16838064C2211yescharacteristic, complemented
46#16838055C2211yescharacteristic, complemented
47#16838054—21no—
48#16838054C2211yescharacteristic, complemented
49#16838053C2211yescharacteristic
50#16838053C2211yescharacteristic, complemented
51#16838048—21no—
52#16838048C2211yescharacteristic, complemented
53#16838045—21no—
54#16838045C2211yescharacteristic, complemented
55#16838044—21no—
56#16838044—21no—
57#16838043—21no—
58#16838040—21no—
59D4×D236C2211yescharacteristic, complemented
60D4×D236C2211yescharacteristic, complemented
61#16838036—21no—
62#16838036C2211yescharacteristic
63#16838036C2211yescharacteristic, complemented
64#16838036C2211yescharacteristic, complemented
65#16837982—21no—
66#16837963—21no—
67#16837963—21no—
68#16837953C2211yescharacteristic, complemented
69#16837951—21no—
70#16837951C2211yescharacteristic, complemented
71#16837949C2211yescharacteristic, complemented
72#16837915—21no—
73#16837915C2211yescharacteristic, complemented
74#16837912—21no—
75#16837912C2211yescharacteristic, complemented
76C2×#14273702C2211yescharacteristic, complemented
77C2×#14273702C2211yescharacteristic, complemented
78#121×D59C2211yescharacteristic, complemented
79#121×D59C2211yescharacteristic, complemented
80C4×#11745689C2211yescharacteristic, complemented
81C4×D4×D59—21no—
82C4×D4×D59C2211yescharacteristic
83#16837792C2211yescharacteristic, complemented
84#16837791C2211yescharacteristic, complemented
85#16837777C2211yescharacteristic, complemented
86#16837773C2211yescharacteristic, complemented
87#16837764C2211yescharacteristic, complemented
88#16837751C2211yescharacteristic, complemented
89#16837747C2211yescharacteristic, complemented
90#16837739C2211yescharacteristic, complemented
91#16837732C2211yescharacteristic, complemented
92#16837731C2211yescharacteristic, complemented
93#16837729C2211yescharacteristic, complemented
94#16837729C2211yescharacteristic, complemented
95#16837729C2211yescharacteristic, complemented
96#16837725C2211yescharacteristic, complemented
97#16837720C2211yescharacteristic, complemented
98#16837719C2211yescharacteristic, complemented
99#16837717C2211yescharacteristic, complemented
100#16837689C2211yescharacteristic, complemented
101#16837685C2211yescharacteristic, complemented
102#16837681C2211yescharacteristic, complemented
103#16837655C2211yescharacteristic, complemented
104#16837654C2211yescharacteristic, complemented
105#16837654C2211yescharacteristic, complemented
106#16837653C2211yescharacteristic, complemented
107#16837650C2211yescharacteristic, complemented
108#16837649C2211yescharacteristic, complemented
109#16837649C2211yescharacteristic, complemented
110#16837639C2211yescharacteristic, complemented
111#16837639C2211yescharacteristic, complemented
112#16837636C2211yescharacteristic, complemented
113#16837634C2211yescharacteristic, complemented
114#16837634C2211yescharacteristic, complemented
115#16837631C2211yescharacteristic, complemented
116#16837629C2211yescharacteristic, complemented
117#16837618C2211yescharacteristic, complemented
118#16837617C2211yescharacteristic, complemented
119#16837614C2211yescharacteristic, complemented
120#16837606C2211yescharacteristic, complemented
121#16837606C2211yescharacteristic, complemented
122#16837602C2211yescharacteristic, complemented
123#16837600C2211yescharacteristic, complemented
124#16837598C2211yescharacteristic, complemented
125#16837596C2211yescharacteristic, complemented
126#16837596C2211yescharacteristic, complemented
127#16837596C2211yescharacteristic, complemented
128#16837555C2211yescharacteristic, complemented
129#16837554C2211yescharacteristic, complemented
130#16837552C2211yescharacteristic, complemented
131#16837551C2211yescharacteristic, complemented
132#16837550C2211yescharacteristic, complemented
133#16837550C2211yescharacteristic, complemented
134#16837550C2211yescharacteristic, complemented
135#16837550C2211yescharacteristic, complemented
136#16837550C2211yescharacteristic, complemented
137#16837550C2211yescharacteristic, complemented
138#16837550C2211yescharacteristic, complemented
139#16837550C2211yescharacteristic, complemented
140#16837550C2211yescharacteristic, complemented
141#16837550C2211yescharacteristic, complemented
142#16837549C2211yescharacteristic, complemented
143#16837548C2211yescharacteristic, complemented
144#16837548C2211yescharacteristic, complemented
145#16837548C2211yescharacteristic, complemented
146#16837547C2211yescharacteristic, complemented
147#16837546C2211yescharacteristic, complemented
148#16837546C2211yescharacteristic, complemented
149#16837545C2211yescharacteristic, complemented
150#16837544C2211yescharacteristic, complemented
151#16837542C2211yescharacteristic, complemented
152#16837542C2211yescharacteristic, complemented
153#16837541C2211yescharacteristic, complemented
154#16837538C2211yescharacteristic, complemented
155#16837538C2211yescharacteristic, complemented
156#16837537C2211yescharacteristic, complemented
157#16837537C2211yescharacteristic, complemented
158#16837537C2211yescharacteristic, complemented
159#16837535C2211yescharacteristic, complemented
160#16837535C2211yescharacteristic, complemented
161#16837534C2211yescharacteristic, complemented
162#16837515C2211yescharacteristic, complemented
163#16837512C2211yescharacteristic, complemented
164#16837500C2211yescharacteristic, complemented
165#16837487C2211yescharacteristic, complemented
166#16837487C2211yescharacteristic, complemented
167#16837484C2211yescharacteristic, complemented
168#16837484C2211yescharacteristic, 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#16837402C2211yescharacteristic, complemented
179#16837402C2211yescharacteristic, complemented
180#16837401C2211yescharacteristic, complemented
181#103×D59C2211yescharacteristic, complemented
182C2×#14273647C2211yescharacteristic, complemented
183#102×D59C2211yescharacteristic, complemented
184#16837365C2211yescharacteristic, complemented
185#16837364C2211yescharacteristic, complemented
186C2×(C2×D59)⋊C8C2211yescharacteristic, complemented
187C22⋊C8×D59C2211yescharacteristic, complemented
188C59×#548C2211yescharacteristic, complemented
189C59×#547C2211yescharacteristic, complemented
190C59×#489C2211yescharacteristic, complemented
191C59×#484C2211yescharacteristic, complemented
192C59×#480C2211yescharacteristic, complemented
193C59×#477C2211yescharacteristic, complemented
194C59×#468C2211yescharacteristic, complemented
195C59×#466C2211yescharacteristic, complemented
196C59×#463C2211yescharacteristic, complemented
197C59×#449C2211yescharacteristic, complemented
198C59×#448C2211yescharacteristic, complemented
199C59×#440C2211yescharacteristic, complemented
200C59×#435C2211yescharacteristic, complemented
201C59×#417C2211yescharacteristic, complemented
202C2×#103×C59C2211yescharacteristic, complemented
203#14273773—48no—
204C2×#11745689—21no—
205C2×#11745689—21no—
206C2×#11745689—21no—
207C2×#11745689—21no—
208C2×#11745689—42no—
209C2×#11745689—42no—
210C2×#11745689C2311yescharacteristic
211C2×#11745689C2311yescharacteristic
212C2×#11745689C2311yescharacteristic
213C2×#11745689C2311yescharacteristic
214C2×#11745685—21no—
215C2×#11745685—21no—
216C2×#11745685—21no—
217C2×#11745685—21no—
218C2×#11745685C2311yescharacteristic
219C2×#11745687—21no—
220C2×#11745687C2311yescharacteristic
221#41×D59—42no—
222#41×D59—42no—
223C2×Q8×D59C2311yescharacteristic
224C22×D236—21no—
225C22×D236—21no—
226C22×D236—21no—
227C22×D236—21no—
228C22×D236C2311yescharacteristic
229C22×D236C2311yescharacteristic
230C22×D236C2311yescharacteristic
231C2×D4×D59—21no—
232C2×D4×D59—21no—
233C2×D4×D59—21no—
234C2×D4×D59—21no—
235C2×D4×D59—21no—
236C2×D4×D59—21no—
237C2×D4×D59—21no—
238C2×D4×D59D411yescharacteristic
239C2×D4×D59C2311yescharacteristic
240C2×D4×D59C2311yescharacteristic
241C2×D4×D59C2311yescharacteristic
242C22×C4×D59—21no—
243C22×C4×D59—21no—
244C22×C4×D59C2311yescharacteristic
245C22×C4×D59C2311yescharacteristic
246#14273755—42no—
247#14273754—42no—
248#14273754—42no—
249#14273752—42no—
250C2×#11745660C2311yescharacteristic
251C2×#11745660C2311yescharacteristic
252C2×#11745660C2311yescharacteristic
253C2×#11745670C2311yescharacteristic
254C2×#11745671—42no—
255C2×#11745671C2311yescharacteristic
256C2×#11745671C2311yescharacteristic
257C2×#11745671C2311yescharacteristic
258C2×#11745671C2311yescharacteristic
259C2×#11745671C2311yescharacteristic
260C2×#11745671C2311yescharacteristic
261SD16×D59—42no—
262C2×D472—42no—
263C2×D472C2311yescharacteristic
264C2×D472C2311yescharacteristic
265C2×D472C2311yescharacteristic
266C2×D472C2311yescharacteristic
267C2×D472C2311yescharacteristic
268C2×D472C2311yescharacteristic
269C2×#11745669C2311yescharacteristic
270C2×#11745669C2311yescharacteristic
271C2×#11745669C2311yescharacteristic
272C2×#11745669C2311yescharacteristic
273C2×#11745669C2311yescharacteristic
274D8×D59—42no—
275C2×#11745664C2311yescharacteristic
276C2×#11745659C2311yescharacteristic
277C2×#11745659C2311yescharacteristic
278C22×C59⋊C8C2311yescharacteristic
279C2×C8×D59C2311yescharacteristic
280C2×C8×D59C2311yescharacteristic
281#14273726C2311yescharacteristic
282#14273725—21no—
283#14273725C2311yescharacteristic
284#14273724C2311yescharacteristic
285#14273723—21no—
286#14273723C2311yescharacteristic
287#14273723C2311yescharacteristic
288#14273716—21no—
289#14273715—21no—
290#14273715C2311yescharacteristic
291#14273713—21no—
292#14273712—21no—
293#14273712—21no—
294#14273712—21no—
295#14273712—21no—
296#14273712—21no—
297#14273712—21no—
298#14273712—21no—
299#14273710—21no—
300#14273710—21no—
301#14273709—21no—
302#14273709—21no—
303#14273709—21no—
304#14273707—21no—
305#14273707C2311yescharacteristic
306#14273706—21no—
307#14273706C2311yescharacteristic
308#14273705—21no—
309#14273705—21no—
310#14273703—21no—
311#14273703—21no—
312#14273703C2311yescharacteristic
313#14273702—21no—
314#14273702—21no—
315#14273702—21no—
316#14273702—21no—
317#14273702—21no—
318#14273702—21no—
319#14273702—21no—
320#14273702C2311yescharacteristic
321#14273702C2311yescharacteristic
322#14273702C2311yescharacteristic
323#14273702C2311yescharacteristic
324#14273702C2311yescharacteristic
325#14273702C2311yescharacteristic
326#14273702C2311yescharacteristic
327#14273702C2311yescharacteristic
328#14273701—21no—
329#14273701—21no—
330#14273701C2311yescharacteristic
331#14273701C2311yescharacteristic
332#14273701C2311yescharacteristic
333#14273700—21no—
334#14273700—21no—
335#14273700—21no—
336#14273700—21no—
337#14273700—21no—
338#14273700—21no—
339#14273700—21no—
340#14273700—21no—
341#14273700—21no—
342#14273700—21no—
343#14273700—21no—
344#14273699—21no—
345#14273699—21no—
346#14273698—21no—
347#14273698C2311yescharacteristic
348#14273698C2311yescharacteristic
349#14273697—21no—
350#14273697—21no—
351#14273697—21no—
352#14273697—21no—
353#14273697—21no—
354#14273697—21no—
355#14273697—21no—
356#14273697—21no—
357#14273697—21no—
358#14273695—21no—
359#14273695—21no—
360#14273695—21no—
361#14273695—21no—
362#14273695—21no—
363Q8×Dic59C2311yescharacteristic
364C4×D236—21no—
365C4×D236—21no—
366C4×D236C2311yescharacteristic
367C4×D236C2311yescharacteristic
368C4×D236C2311yescharacteristic
369D4×Dic59—21no—
370D4×Dic59D411yescharacteristic
371#14273689—21no—
372#14273689—21no—
373#14273689—21no—
374#14273689D411yescharacteristic
375#14273689C2311yescharacteristic
376#14273689C2311yescharacteristic
377#14273689C2311yescharacteristic
378C4×C22⋊D59—21no—
379C4×C22⋊D59—21no—
380C4×C22⋊D59—21no—
381C4×C22⋊D59C2311yescharacteristic
382C4×C22⋊D59C2311yescharacteristic
383(C22⋊D59)⋊C4—21no—
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
391C4⋊C4×D59—21no—
392C4⋊C4×D59D411yescharacteristic
393C4⋊C4×D59C2311yescharacteristic
394C4⋊C4×D59C2311yescharacteristic
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×D59D411yescharacteristic
402C22⋊C4×D59D411yescharacteristic
403C42×D59—21no—
404C42×D59C2311yescharacteristic
405#14273660C2311yescharacteristic
406#14273659C2311yescharacteristic
407#14273658C2311yescharacteristic
408#14273658C2311yescharacteristic
409#14273658C2311yescharacteristic
410C4⋊(C59⋊C8)C2311yescharacteristic
411Dic59⋊C8C2311yescharacteristic
412Dic59⋊C8C2311yescharacteristic
413#14273652C2311yescharacteristic
414#14273651C2311yescharacteristic
415#14273651C2311yescharacteristic
416#14273650C2311yescharacteristic
417#14273650C2311yescharacteristic
418#14273650C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273649C2311yescharacteristic
423#14273649C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273647C2311yescharacteristic
427#14273647C2311yescharacteristic
428#14273647C2311yescharacteristic
429#14273647C2311yescharacteristic
430#14273647C2311yescharacteristic
431#14273647C2311yescharacteristic
432#14273647C2311yescharacteristic
433#14273647C2311yescharacteristic
434#14273647C2311yescharacteristic
435C22⋊(C59⋊C8)C2311yescharacteristic
436C22⋊(C59⋊C8)C2311yescharacteristic
437(C2×D59)⋊C8C2311yescharacteristic
438(C2×D59)⋊C8C2311yescharacteristic
439(C2×D59)⋊C8C2311yescharacteristic
440(C2×D59)⋊C8C2311yescharacteristic
441(C2×D59)⋊C8C2311yescharacteristic
442(C2×D59)⋊C8C2311yescharacteristic
443(C2×D59)⋊C8C2311yescharacteristic
444(C2×D59)⋊C8C2311yescharacteristic
445#14273638C2311yescharacteristic
446C8×Dic59C2311yescharacteristic
447C8×Dic59C2311yescharacteristic
448C2×#41×C59—21no—
449C2×#41×C59C2311yescharacteristic
450C22×Q8×C59C2311yescharacteristic
451C2×SD16×C59C2311yescharacteristic
452C2×SD16×C59C2311yescharacteristic
453C2×D8×C59C2311yescharacteristic
454C2×M16×C59C2311yescharacteristic
455C22×C8×C59C2311yescharacteristic
456C4⋊Q8×C59C2311yescharacteristic
457#124×C59—21no—
458#124×C59C2311yescharacteristic
459#123×C59—21no—
460#123×C59—21no—
461C22⋊Q8×C59—21no—
462C22⋊Q8×C59—21no—
463C22⋊Q8×C59C2311yescharacteristic
464#121×C59—21no—
465#121×C59C2311yescharacteristic
466#121×C59C2311yescharacteristic
467#121×C59C2311yescharacteristic
468C4×Q8×C59C2311yescharacteristic
469C4×D4×C59—21no—
470C4×D4×C59C2311yescharacteristic
471C4×D4×C59C2311yescharacteristic
472C2×C4⋊C4×C59C2311yescharacteristic
473C2×C4⋊C4×C59C2311yescharacteristic
474#107×C59C2311yescharacteristic
475#107×C59C2311yescharacteristic
476#107×C59C2311yescharacteristic
477C4⋊C8×C59C2311yescharacteristic
478#103×C59C2311yescharacteristic
479#103×C59C2311yescharacteristic
480#103×C59C2311yescharacteristic
481#103×C59C2311yescharacteristic
482#103×C59C2311yescharacteristic
483#103×C59C2311yescharacteristic
484#102×C59C2311yescharacteristic
485#102×C59C2311yescharacteristic
486#102×C59C2311yescharacteristic
487#102×C59C2311yescharacteristic
488C22⋊C8×C59C2311yescharacteristic
489C22⋊C8×C59C2311yescharacteristic
490#97×C59C2311yescharacteristic
491C23×D59—21no—
492C23×D59—21no—
493C23×D59—21no—
494C23×D59—21no—
495C23×D59—21no—
496C23×D59—21no—
497C23×D59C2×D411yescharacteristic
498C23×D59C2×D411yescharacteristic
499#41×C59—22no—
500#41×C59—41no—
501#41×C59—44no—
502C2×Q8×C59—21no—
503C2×Q8×C59—21no—
504C2×Q8×C59—22no—
505C2×Q8×C59—41no—
506C2×Q8×C59C2411yescharacteristic
507C2×Q8×C59C2411yescharacteristic
508C2×D4×C59—21no—
509C2×D4×C59—21no—
510C2×D4×C59—21no—
511C2×D4×C59—21no—
512C2×D4×C59C2×D411yescharacteristic
513C2×D4×C59C2411yescharacteristic
514C2×D4×C59C2411yescharacteristic
515C22×C4×C59—21no—
516C22×C4×C59—21no—
517C22×C4×C59—21no—
518C22×C4×C59—21no—
519C22×C4×C59—21no—
520C22×C4×C59C2411yescharacteristic
521C22×C4×C59C2411yescharacteristic
522C2×C22⋊D59—21no—
523C2×C22⋊D59—21no—
524C2×C22⋊D59—21no—
525C2×C22⋊D59—21no—
526C2×C22⋊D59—21no—
527C2×C22⋊D59—21no—
528C2×C22⋊D59—21no—
529C2×C22⋊D59—21no—
530C2×C22⋊D59—21no—
531C2×C22⋊D59—21no—
532C2×C22⋊D59—21no—
533C2×C22⋊D59—21no—
534C2×C22⋊D59—21no—
535C2×C22⋊D59—21no—
536C2×C22⋊D59C2×D411yescharacteristic
537C2×C22⋊D59C2×D411yescharacteristic
538C22×Dic59—21no—
539C22×Dic59C2×D411yescharacteristic
540C22×Dic59C2×D411yescharacteristic
541#11745689—22no—
542#11745689—22no—
543#11745689—22no—
544#11745689—22no—
545#11745689—41no—
546#11745689—41no—
547#11745689—41no—
548#11745689—41no—
549#11745689—44no—
550#11745689—44no—
551#11745689—44no—
552#11745689—44no—
553Q8×D59—22no—
554Q8×D59—41no—
555#11745687—41no—
556#11745687—41no—
557#11745687—44no—
558D4×D59—24no—
559D4×D59—22no—
560D4×D59—41no—
561D4×D59—41no—
562D4×D59—41no—
563D4×D59—41no—
564D4×D59—41no—
565D4×D59—44no—
566D4×D59—44no—
567D4×D59—44no—
568D4×D59—44no—
569D4×D59—44no—
570D4×D59—44no—
571D4×D59—44no—
572#11745685—22no—
573#11745685—41no—
574#11745685—44no—
575#11745685—44no—
576#11745685—44no—
577#11745685—44no—
578C2×D236—21no—
579C2×D236—22no—
580C2×D236—21no—
581C2×D236—21no—
582C2×D236—21no—
583C2×D236—21no—
584C2×D236—21no—
585C2×D236—21no—
586C2×D236—21no—
587C2×D236—21no—
588C2×D236—21no—
589C2×D236—21no—
590C2×D236—21no—
591C2×D236—21no—
592C2×D236—21no—
593C2×D236—21no—
594C2×D236—21no—
595C2×D236—21no—
596C2×D236—41no—
597C2×D236—41no—
598C2×D236—41no—
599C2×D236—41no—
600C2×D236—41no—
601C2×D236—44no—
602C2×D236—44no—
603C2×D236—44no—
604C2×D236—44no—
605C2×D236C2×D411yescharacteristic
606C2×D236C2411yescharacteristic
607C2×D236C2411yescharacteristic
608C2×D236C2411yescharacteristic
609C2×D236C2411yescharacteristic
610C2×D236C2411yescharacteristic
611C2×C4×D59—21no—
612C2×C4×D59—21no—
613C2×C4×D59—21no—
614C2×C4×D59—21no—
615C2×C4×D59—21no—
616C2×C4×D59—21no—
617C2×C4×D59—21no—
618C2×C4×D59—21no—
619C2×C4×D59—21no—
620C2×C4×D59—21no—
621C2×C4×D59—21no—
622C2×C4×D59—21no—
623C2×C4×D59—21no—
624C2×C4×D59—41no—
625C2×C4×D59—41no—
626C2×C4×D59—41no—
627C2×C4×D59—41no—
628C2×C4×D59—44no—
629C2×C4×D59—44no—
630C2×C4×D59C2×D411yescharacteristic
631C2×C4×D59C2×D411yescharacteristic
632C2×C4×D59C2×D411yescharacteristic
633C2×C4×D59C2×D411yescharacteristic
634C2×C4×D59C2×D411yescharacteristic
635C2×C4×D59C2×D411yescharacteristic
636C2×C4×D59C2411yescharacteristic
637C2×C4×D59C2411yescharacteristic
638C2×C4×D59C2411yescharacteristic
639C2×Dic118—21no—
640C2×Dic118—21no—
641C2×Dic118C2411yescharacteristic
642SD16×C59—22no—
643SD16×C59—41no—
644D8×C59—41no—
645M16×C59—41no—
646C2×C8×C59—41no—
647C2×C8×C59C2411yescharacteristic
648C2×C8×C59C2411yescharacteristic
649C2×C8×C59C2411yescharacteristic
650C2×C8×C59C2411yescharacteristic
651C4⋊C4×C59—21no—
652C4⋊C4×C59—21no—
653C4⋊C4×C59—21no—
654C4⋊C4×C59—21no—
655C4⋊C4×C59—21no—
656C4⋊C4×C59C2×D411yescharacteristic
657C4⋊C4×C59C2411yescharacteristic
658C4⋊C4×C59C2411yescharacteristic
659C4⋊C4×C59C2411yescharacteristic
660C4⋊C4×C59C2411yescharacteristic
661C22⋊C4×C59—21no—
662C22⋊C4×C59—21no—
663C22⋊C4×C59—21no—
664C22⋊C4×C59—21no—
665C22⋊C4×C59—21no—
666C22⋊C4×C59—21no—
667C22⋊C4×C59—21no—
668C22⋊C4×C59C2×D411yescharacteristic
669C22⋊C4×C59C2×D411yescharacteristic
670C42×C59—21no—
671C42×C59C2411yescharacteristic
672C22⋊Dic59—21no—
673C22⋊Dic59—21no—
674C22⋊Dic59—21no—
675C22⋊Dic59C2×D411yescharacteristic
676C22⋊Dic59C2×D411yescharacteristic
677#11745671—22no—
678#11745671—22no—
679#11745671—22no—
680#11745671—41no—
681#11745671—41no—
682#11745671—41no—
683#11745670—41no—
684#11745669—22no—
685#11745669—41no—
686#11745669—41no—
687#11745669—41no—
688#11745669—41no—
689(C2×D59)⋊C4—21no—
690(C2×D59)⋊C4—21no—
691(C2×D59)⋊C4—21no—
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—
706(C2×D59)⋊C4—21no—
707(C2×D59)⋊C4—21no—
708(C2×D59)⋊C4—21no—
709(C2×D59)⋊C4—21no—
710(C2×D59)⋊C4C2×D411yescharacteristic
711(C2×D59)⋊C4C2×D411yescharacteristic
712(C2×D59)⋊C4C2×D411yescharacteristic
713(C2×D59)⋊C4C2×D411yescharacteristic
714C4⋊Dic59—21no—
715C4⋊Dic59—21no—
716C4⋊Dic59C2×D411yescharacteristic
717C4⋊Dic59C2411yescharacteristic
718C4⋊Dic59C2411yescharacteristic
719Dic59⋊C4—21no—
720Dic59⋊C4—21no—
721Dic59⋊C4—21no—
722Dic59⋊C4—21no—
723Dic59⋊C4—21no—
724Dic59⋊C4—21no—
725Dic59⋊C4—21no—
726Dic59⋊C4C2×D411yescharacteristic
727Dic59⋊C4C2×D411yescharacteristic
728C4×Dic59—21no—
729C4×Dic59—21no—
730C4×Dic59C2×D411yescharacteristic
731C4×Dic59C2×D411yescharacteristic
732C4×Dic59C2411yescharacteristic
733#11745664—41no—
734C2×C59⋊C8—41no—
735C2×C59⋊C8C2411yescharacteristic
736C2×C59⋊C8C2411yescharacteristic
737C2×C59⋊C8C2411yescharacteristic
738C2×C59⋊C8C2411yescharacteristic
739D472—22no—
740D472—22no—
741D472—22no—
742D472—41no—
743D472—41no—
744D472—41no—
745#11745660—41no—
746#11745660—41no—
747#11745660—41no—
748#11745659—41no—
749#11745659—41no—
750C8×D59—41no—
751C8×D59—41no—
752C23×C59—21no—
753C23×C59—21no—
754C23×C59C22×D411yescharacteristic
755C23×C59C22×D411yescharacteristic
756C22×D59—21no—
757C22×D59—22no—
758C22×D59—22no—
759C22×D59—21no—
760C22×D59—21no—
761C22×D59—21no—
762C22×D59—21no—
763C22×D59—41no—
764C22×D59—41no—
765C22×D59—41no—
766C22×D59—41no—
767C22×D59—42no—
768C22×D59—42no—
769C22×D59—42no—
770C22×D59—42no—
771C22×D59—42no—
772C22×D59—42no—
773C22×D59—42no—
774C22×D59—42no—
775C22×D59—81no—
776C22×D59—81no—
777C22×D59—81no—
778C22×D59—81no—
779C22×D59—81no—
780C22×D59—81no—
781C22×D59—81no—
782C22×D59—81no—
783C22×D59—81no—
784C22×D59—81no—
785C22×D59C22×D411yescharacteristic
786C22×D59C22×D411yescharacteristic
787C22×D59C22×D411yescharacteristic
788Q8×C59—21no—
789Q8×C59—21no—
790Q8×C59—21no—
791Q8×C59—42no—
792Q8×C59—42no—
793Q8×C59H(5,𝔽2)12yescomplemented
794D4×C59—22no—
795D4×C59—21no—
796D4×C59—21no—
797D4×C59—21no—
798D4×C59—21no—
799D4×C59—42no—
800D4×C59—42no—
801D4×C59—42no—
802D4×C59—42no—
803C2×C4×C59—21no—
804C2×C4×C59—21no—
805C2×C4×C59—21no—
806C2×C4×C59—21no—
807C2×C4×C59—21no—
808C2×C4×C59—21no—
809C2×C4×C59—21no—
810C2×C4×C59—21no—
811C2×C4×C59—21no—
812C2×C4×C59—21no—
813C2×C4×C59—42no—
814C2×C4×C59—42no—
815C2×C4×C59—42no—
816C2×C4×C59—42no—
817C2×C4×C59—42no—
818C2×C4×C59C22×D411yescharacteristic
819C2×C4×C59C22×D411yescharacteristic
820C2×C4×C59C22×D411yescharacteristic
821C2×C4×C59C22×D411yescharacteristic
822C2×C4×C59C2511yescharacteristic
823C22⋊D59—22no—
824C22⋊D59—42no—
825C22⋊D59—42no—
826C22⋊D59—42no—
827C22⋊D59—42no—
828C22⋊D59—42no—
829C22⋊D59—42no—
830C22⋊D59—42no—
831C22⋊D59—42no—
832C22⋊D59—81no—
833C22⋊D59—81no—
834C22⋊D59—81no—
835C22⋊D59—81no—
836C22⋊D59—81no—
837C22⋊D59—81no—
838C22⋊D59AGL(1,ℤ/8)14yescomplemented
839C2×Dic59—21no—
840C2×Dic59—21no—
841C2×Dic59—21no—
842C2×Dic59—41no—
843C2×Dic59—41no—
844C2×Dic59—42no—
845C2×Dic59C22×D411yescharacteristic
846C2×Dic59C22×D411yescharacteristic
847C2×Dic59C22×D411yescharacteristic
848C2×Dic59C22×D411yescharacteristic
849C2×Dic59C22×D411yescharacteristic
850D236—24no—
851D236—22no—
852D236—21no—
853D236—21no—
854D236—21no—
855D236—21no—
856D236—21no—
857D236—21no—
858D236—21no—
859D236—21no—
860D236—21no—
861D236—42no—
862D236—42no—
863D236—42no—
864D236—42no—
865D236—42no—
866D236—42no—
867D236—42no—
868D236—42no—
869D236—42no—
870D236—42no—
871D236—42no—
872D236—42no—
873D236—42no—
874D236—81no—
875D236—81no—
876D236—81no—
877D236H(5,𝔽2)12yescomplemented
878C4×D59—24no—
879C4×D59—21no—
880C4×D59—21no—
881C4×D59—21no—
882C4×D59—21no—
883C4×D59—21no—
884C4×D59—21no—
885C4×D59—22no—
886C4×D59—41no—
887C4×D59—41no—
888C4×D59—41no—
889C4×D59—41no—
890C4×D59—41no—
891C4×D59—42no—
892C4×D59—42no—
893C4×D59—42no—
894C4×D59—42no—
895C4×D59—42no—
896C4×D59—42no—
897C4×D59—42no—
898C4×D59—42no—
899C4×D59—42no—
900C4×D59—42no—
901C4×D59—42no—
902C4×D59—81no—
903Dic118—21no—
904Dic118—21no—
905Dic118—42no—
906Dic118—42no—
907C8×C59—21no—
908C8×C59—21no—
909C8×C59—21no—
910C8×C59—21no—
911C59⋊C8—21no—
912C59⋊C8—21no—
913C59⋊C8—21no—
914C59⋊C8—21no—
915#61598—591nomaximal, Sylow
916C22×C59—21no—
917C22×C59—21no—
918C22×C59—21no—
919C22×C59—21no—
920C22×C59—21no—
921C22×C59—41no—
922C22×C59—41no—
923C22×C59—41no—
924C22×C59—41no—
925C22×C59—41no—
926C22×C59—41no—
927C22×C59C2×AGL(1,ℤ/8)12yes—
928C22×C59C23×D411yescharacteristic
929C2×D59—21no—
930C2×D59—21no—
931C2×D59—21no—
932C2×D59—21no—
933C2×D59—21no—
934C2×D59—22no—
935C2×D59—21no—
936C2×D59—21no—
937C2×D59—21no—
938C2×D59—41no—
939C2×D59—41no—
940C2×D59—41no—
941C2×D59—41no—
942C2×D59—41no—
943C2×D59—41no—
944C2×D59—41no—
945C2×D59—41no—
946C2×D59—41no—
947C2×D59—41no—
948C2×D59—41no—
949C2×D59—41no—
950C2×D59—41no—
951C2×D59—41no—
952C2×D59—82no—
953C2×D59—84no—
954C2×D59—82no—
955C2×D59—84no—
956C2×D59—162no—
957C2×D59—162no—
958C2×D59—162no—
959C2×D59—162no—
960C2×D59C2×AGL(1,ℤ/8)12yes—
961C4×C59—21no—
962C4×C59—22no—
963C4×C59—21no—
964C4×C59—21no—
965C4×C59—21no—
966C4×C59—41no—
967C4×C59—41no—
968C4×C59—41no—
969C4×C59—41no—
970C4×C59—41no—
971C4×C59C2×H(5,𝔽2)11yescharacteristic
972C4×C59C2×H(5,𝔽2)11yescharacteristic
973Dic59—21no—
974Dic59—21no—
975Dic59—21no—
976Dic59—21no—
977Dic59—41no—
978Dic59—41no—
979Dic59—41no—
980Dic59C2×AGL(1,ℤ/8)12yes—
981#3496—591no—
982D4×#41—591no—
983#3332—591no—
984#3330—591no—
985#3308—591no—
986#3308D5911yescharacteristic, complemented
987#3306—591no—
988#3306—591no—
989#3298—591no—
990#3294—591no—
991D4×SD16—591no—
992D4×D8—591no—
993#3274—591no—
994#3272—591no—
995#3265—591no—
996#3265—591no—
997#3264—591no—
998#3264—591no—
999#3214—591no—
1000#3207—591no—
1001#3194—591no—
1002#3194—591no—
1003#3188—591no—
1004#3188—591no—
1005#3115—591no—
1006#3106—591no—
1007#3006—591no—
1008#3006—591no—
1009C2×#449—591no—
1010C2×#449—591no—
1011#2974—591no—
1012C2×C59—22no—
1013C2×C59—41no—
1014C2×C59—81no—
1015C2×C59—81no—
1016C2×C59#348411yescharacteristic
1017C2×C59C22×AGL(1,ℤ/8)11yescharacteristic
1018C2×C59#358411yescharacteristic
1019D59—22no—
1020D59—41no—
1021D59—41no—
1022D59—42no—
1023D59—81no—
1024D59—81no—
1025D59—81no—
1026D59—81no—
1027C2×H(5,𝔽2)—1181no—
1028C22×#41—591no—
1029C22×#41—591no—
1030C2×AGL(1,ℤ/8)—591no—
1031C2×AGL(1,ℤ/8)—591no—
1032C2×AGL(1,ℤ/8)—591no—
1033C2×AGL(1,ℤ/8)—591no—
1034C22×SD16—591no—
1035C22×SD16—591no—
1036C22×D8—591no—
1037C22×D8—591no—
1038#550—591no—
1039D4×Q8—591no—
1040#548—591no—
1041#548C2×D5911yescharacteristic, complemented
1042#547—591no—
1043#547—591no—
1044#547—591no—
1045#547—591no—
1046#547—1181no—
1047#547C2×D5911yescharacteristic, complemented
1048#546—591no—
1049#546—591no—
1050#546—1181no—
1051#546—1181no—
1052#546—1181no—
1053#546—1181no—
1054#546—1181no—
1055#546—1181no—
1056D42—591no—
1057D42—591no—
1058D42—591no—
1059D42—591no—
1060D42—591no—
1061D42—1181no—
1062#537—1181no—
1063#534—1181no—
1064#534—1181no—
1065#532—591no—
1066#532—591no—
1067#532—591no—
1068#532—1181no—
1069#525—591no—
1070#525—591no—
1071#525—1181no—
1072#525—1181no—
1073C2×#121—591no—
1074C2×#121—591no—
1075C2×#121—591no—
1076C2×#121—591no—
1077C4×#41—591no—
1078C2×C4×D4—591no—
1079C2×C4×D4—1181no—
1080#496—591no—
1081#496—591no—
1082#493—591no—
1083#492—591no—
1084#489—591no—
1085#489C2×D5911yescharacteristic, complemented
1086#487—591no—
1087#486—591no—
1088#484—591no—
1089#484C2×D5911yescharacteristic, complemented
1090#483—591no—
1091#483—591no—
1092#482—591no—
1093#482—591no—
1094#482—591no—
1095#482—591no—
1096#481—591no—
1097#481—591no—
1098#480—591no—
1099#480C2×D5911yescharacteristic, complemented
1100#477C2×D5911yescharacteristic, complemented
1101#476—591no—
1102#475—591no—
1103#474—591no—
1104#469—591no—
1105#469—591no—
1106#469—591no—
1107#469—591no—
1108#468—591no—
1109#468—591no—
1110#468—591no—
1111#468C2×D5911yescharacteristic, complemented
1112#466—591no—
1113#466—591no—
1114#466—591no—
1115#466C2×D5911yescharacteristic, complemented
1116#465—591no—
1117#465—591no—
1118#465—591no—
1119#465—591no—
1120#463—591no—
1121#463—591no—
1122#463—591no—
1123#463C2×D5911yescharacteristic, complemented
1124#461—591no—
1125#461—591no—
1126#460—591no—
1127#460—591no—
1128#459—591no—
1129#459—591no—
1130#459—591no—
1131#459—591no—
1132#450—591no—
1133#450—591no—
1134#450—591no—
1135#450—591no—
1136#449—591no—
1137#449—591no—
1138#449—591no—
1139#449—591no—
1140#449—591no—
1141#449—591no—
1142#449—591no—
1143#449—591no—
1144#449—591no—
1145#449—591no—
1146#449—591no—
1147#449—591no—
1148#449—591no—
1149#449—591no—
1150#449—591no—
1151#449—591no—
1152#449—591no—
1153#449—591no—
1154#449—591no—
1155#449C2×D5911yescharacteristic, complemented
1156#448—591no—
1157#448—591no—
1158#448—591no—
1159#448C2×D5911yescharacteristic, complemented
1160#447—591no—
1161#447—591no—
1162#447—591no—
1163#447—591no—
1164#447—591no—
1165#447—591no—
1166#447—591no—
1167#447—591no—
1168#442—591no—
1169#442—591no—
1170#440—591no—
1171#440C2×D5911yescharacteristic, complemented
1172C4×SD16—591no—
1173C4×SD16—591no—
1174C4×D8—591no—
1175C4×D8—591no—
1176#436—591no—
1177#436—591no—
1178#435—591no—
1179#435—591no—
1180#435—591no—
1181#435C2×D5911yescharacteristic, complemented
1182C8×D4—591no—
1183C8×D4—591no—
1184#432—591no—
1185#431—591no—
1186#417—591no—
1187#417—591no—
1188#417—591no—
1189#417C2×D5911yescharacteristic, complemented
1190C2×#103—591no—
1191C2×#103C2×D5911yescharacteristic, complemented
1192C2×#102—591no—
1193C2×#102—591no—
1194#407—591no—
1195#407—591no—
1196C2×C22⋊C8—591no—
1197C2×C22⋊C8—591no—
1198C59#6159811yescharacteristic, complemented, Sylow
1199H(5,𝔽2)—2368no—
1200C2×#41—21no—
1201C2×#41—591no—
1202C2×#41—591no—
1203C2×#41—591no—
1204C2×#41—591no—
1205C2×#41—591no—
1206C2×#41—591no—
1207C2×#41—1181no—
1208C2×#41—1181no—
1209C2×#41—1181no—
1210C2×#41—1181no—
1211C2×#41—1181no—
1212C2×#41—1181no—
1213C2×#41—1181no—
1214C2×#41—1181no—
1215C2×#41—1181no—
1216C2×#41—2362no—
1217C2×#41—2362no—
1218C2×#41—2362no—
1219C2×#41—2362no—
1220C2×#41C22×D5911yescharacteristic
1221C22×Q8—591no—
1222C22×Q8C22×D5911yescharacteristic
1223C22×D4—591no—
1224C22×D4—591no—
1225C22×D4—591no—
1226C22×D4—591no—
1227C22×D4—591no—
1228C22×D4—591no—
1229C22×D4—591no—
1230C22×D4—1181no—
1231C22×D4—1181no—
1232C22×D4—1181no—
1233C22×D4—1181no—
1234C22×D4—1181no—
1235C22×D4—1181no—
1236C22×D4—1181no—
1237C22×D4—1181no—
1238C22×D4—1181no—
1239C22×D4—1181no—
1240C22×D4—1181no—
1241C23×C4—591no—
1242C23×C4—591no—
1243C23×C4—1181no—
1244C23×C4—1181no—
1245AGL(1,ℤ/8)—2362no—
1246AGL(1,ℤ/8)—2362no—
1247AGL(1,ℤ/8)—2362no—
1248AGL(1,ℤ/8)—2362no—
1249C2×SD16—591no—
1250C2×SD16—591no—
1251C2×SD16—591no—
1252C2×SD16—591no—
1253C2×SD16—591no—
1254C2×SD16—591no—
1255C2×SD16—591no—
1256C2×SD16—591no—
1257C2×SD16—591no—
1258C2×SD16—591no—
1259C2×SD16—2362no—
1260C2×SD16—2362no—
1261C2×SD16C22×D5911yescharacteristic
1262C2×SD16C22×D5911yescharacteristic
1263C2×D8—591no—
1264C2×D8—591no—
1265C2×D8—591no—
1266C2×D8—591no—
1267C2×D8—591no—
1268C2×D8—591no—
1269C2×D8—591no—
1270C2×D8—591no—
1271C2×D8—591no—
1272C2×D8—591no—
1273C2×D8—591no—
1274C2×D8—2362no—
1275C2×D8—2362no—
1276C2×D8C22×D5911yescharacteristic
1277C2×M16—591no—
1278C2×M16—591no—
1279C2×M16—591no—
1280C2×M16C22×D5911yescharacteristic
1281C22×C8—591no—
1282C22×C8—591no—
1283C22×C8—591no—
1284C22×C8C22×D5911yescharacteristic
1285C4⋊Q8—591no—
1286C4⋊Q8—591no—
1287C4⋊Q8—1181no—
1288C4⋊Q8C22×D5911yescharacteristic
1289#127—591no—
1290#127—591no—
1291#127—591no—
1292#127—1181no—
1293#124—21no—
1294#124—591no—
1295#124—1181no—
1296#124—1181no—
1297#124—1181no—
1298#124C22×D5911yescharacteristic
1299#123—21no—
1300#123—21no—
1301#123—1181no—
1302#123—1181no—
1303#123—1181no—
1304#123—1181no—
1305#123—1181no—
1306#123—1181no—
1307#123—1181no—
1308#123—1181no—
1309#123—1181no—
1310#123—1181no—
1311#123—1181no—
1312#123—1181no—
1313C22⋊Q8—21no—
1314C22⋊Q8—21no—
1315C22⋊Q8—591no—
1316C22⋊Q8—591no—
1317C22⋊Q8—591no—
1318C22⋊Q8—1181no—
1319C22⋊Q8—1181no—
1320C22⋊Q8—1181no—
1321C22⋊Q8—1181no—
1322C22⋊Q8—1181no—
1323C22⋊Q8—1181no—
1324C22⋊Q8C22×D5911yescharacteristic
1325#121—21no—
1326#121—591no—
1327#121—591no—
1328#121—591no—
1329#121—591no—
1330#121—591no—
1331#121—591no—
1332#121—591no—
1333#121—591no—
1334#121—591no—
1335#121—591no—
1336#121—591no—
1337#121—591no—
1338#121—591no—
1339#121—1181no—
1340#121—1181no—
1341#121—1181no—
1342#121—1181no—
1343#121—1181no—
1344#121—1181no—
1345#121—1181no—
1346#121—1181no—
1347#121—1181no—
1348#121—1181no—
1349#121—1181no—
1350#121—1181no—
1351#121—1181no—
1352#121—1181no—
1353#121—1181no—
1354#121—1181no—
1355#121—1181no—
1356#121—1181no—
1357#121—1181no—
1358#121—1181no—
1359#121—1181no—
1360#121—1181no—
1361#121—1181no—
1362#121C22×D5911yescharacteristic
1363#121C22×D5911yescharacteristic
1364#121C22×D5911yescharacteristic
1365#120—1181no—
1366#120—1181no—
1367#120—1181no—
1368#120—1181no—
1369#120—1181no—
1370#120—1181no—
1371#120—1181no—
1372#120—1181no—
1373#120—1181no—
1374#120—1181no—
1375#120—1181no—
1376#120—1181no—
1377#120—1181no—
1378#120—1181no—
1379C4×Q8—591no—
1380C4×Q8C22×D5911yescharacteristic
1381C4×D4—21no—
1382C4×D4—591no—
1383C4×D4—591no—
1384C4×D4—591no—
1385C4×D4—591no—
1386C4×D4—591no—
1387C4×D4—591no—
1388C4×D4—591no—
1389C4×D4—591no—
1390C4×D4—591no—
1391C4×D4—591no—
1392C4×D4—591no—
1393C4×D4—591no—
1394C4×D4—1181no—
1395C4×D4—1181no—
1396C4×D4—1181no—
1397C4×D4—1181no—
1398C4×D4—1181no—
1399C4×D4—1181no—
1400C4×D4—1181no—
1401C4×D4—1181no—
1402C4×D4—1181no—
1403C4×D4—1181no—
1404C4×D4—1181no—
1405C4×D4—1181no—
1406C4×D4—1181no—
1407C4×D4C22×D5911yescharacteristic
1408C4×D4C22×D5911yescharacteristic
1409#117—591no—
1410#117—1181no—
1411C2×C4⋊C4—591no—
1412C2×C4⋊C4—591no—
1413C2×C4⋊C4—591no—
1414C2×C4⋊C4—1181no—
1415C2×C4⋊C4C22×D5911yescharacteristic
1416C2×C4⋊C4C22×D5911yescharacteristic
1417C2×C22⋊C4—591no—
1418C2×C22⋊C4—591no—
1419C2×C22⋊C4—1181no—
1420C2×C22⋊C4—1181no—
1421C2×C22⋊C4—1181no—
1422C2×C22⋊C4—1181no—
1423C2×C22⋊C4—1181no—
1424C2×C22⋊C4—1181no—
1425C2×C42—591no—
1426C2×C42—1181no—
1427#107—591no—
1428#107C22×D5911yescharacteristic
1429#107C22×D5911yescharacteristic
1430#107C22×D5911yescharacteristic
1431#106—591no—
1432#106—591no—
1433#106—591no—
1434#106—591no—
1435C4⋊C8—591no—
1436C4⋊C8—591no—
1437C4⋊C8—591no—
1438C4⋊C8C22×D5911yescharacteristic
1439#103—591no—
1440#103—591no—
1441#103—591no—
1442#103—591no—
1443#103—591no—
1444#103—591no—
1445#103C22×D5911yescharacteristic
1446#103C22×D5911yescharacteristic
1447#103C22×D5911yescharacteristic
1448#103C22×D5911yescharacteristic
1449#103C22×D5911yescharacteristic
1450#103C22×D5911yescharacteristic
1451#102—591no—
1452#102—591no—
1453#102—591no—
1454#102—591no—
1455#102—591no—
1456#102—591no—
1457#102—591no—
1458#102—591no—
1459#102—591no—
1460#102—591no—
1461#102—591no—
1462#102—591no—
1463#102—591no—
1464#102—591no—
1465#102—591no—
1466#102—591no—
1467#102C22×D5911yescharacteristic
1468#102C22×D5911yescharacteristic
1469#102C22×D5911yescharacteristic
1470#102C22×D5911yescharacteristic
1471C22⋊C8—591no—
1472C22⋊C8—591no—
1473C22⋊C8—591no—
1474C22⋊C8—591no—
1475C22⋊C8—591no—
1476C22⋊C8—591no—
1477C22⋊C8—591no—
1478C22⋊C8—591no—
1479C22⋊C8—591no—
1480C22⋊C8—591no—
1481C22⋊C8C22×D5911yescharacteristic
1482C22⋊C8C22×D5911yescharacteristic
1483#97—591no—
1484#97C22×D5911yescharacteristic
1485C4×C8—591no—
1486C4×C8—591no—
1487C24—591no—
1488C24—591no—
1489C24—1181no—
1490C24—1181no—
1491C24—1181no—
1492C24—1181no—
1493C24—1181no—
1494C24—1181no—
1495#41—22no—
1496#41—41no—
1497#41—44no—
1498#41—1182no—
1499#41—1182no—
1500#41—1182no—
1501#41—1182no—
1502#41—1182no—
1503#41—2361no—
1504#41—2364no—
1505#41—2364no—
1506#41—2364no—
1507#41—2364no—
1508#41—2361no—
1509#41—2361no—
1510#41—2364no—
1511#41—2361no—
1512#41—2361no—
1513#41—2361no—
1514#41—2361no—
1515#41—2364no—
1516#41—2364no—
1517#41—2364no—
1518#41—2364no—
1519C2×Q8—21no—
1520C2×Q8—21no—
1521C2×Q8—22no—
1522C2×Q8—41no—
1523C2×Q8—591no—
1524C2×Q8—1181no—
1525C2×Q8—1181no—
1526C2×Q8—1182no—
1527C2×Q8—2361no—
1528C2×Q8C23×D5911yescharacteristic
1529C2×Q8C23×D5911yescharacteristic
1530C2×D4—21no—
1531C2×D4—21no—
1532C2×D4—21no—
1533C2×D4—21no—
1534C2×D4—591no—
1535C2×D4—591no—
1536C2×D4—591no—
1537C2×D4—591no—
1538C2×D4—591no—
1539C2×D4—591no—
1540C2×D4—591no—
1541C2×D4—591no—
1542C2×D4—1182no—
1543C2×D4—1181no—
1544C2×D4—1181no—
1545C2×D4—1181no—
1546C2×D4—1181no—
1547C2×D4—1181no—
1548C2×D4—1181no—
1549C2×D4—1181no—
1550C2×D4—1181no—
1551C2×D4—1181no—
1552C2×D4—1181no—
1553C2×D4—1181no—
1554C2×D4—1181no—
1555C2×D4—1181no—
1556C2×D4—1181no—
1557C2×D4—1181no—
1558C2×D4—1181no—
1559C2×D4—1181no—
1560C2×D4—1181no—
1561C2×D4—1181no—
1562C2×D4—1184no—
1563C2×D4—1182no—
1564C2×D4—1181no—
1565C2×D4—1181no—
1566C2×D4—1181no—
1567C2×D4—1181no—
1568C2×D4—1181no—
1569C2×D4—1181no—
1570C2×D4—1181no—
1571C2×D4—1181no—
1572C2×D4—1181no—
1573C2×D4—1181no—
1574C2×D4—1181no—
1575C2×D4—1181no—
1576C2×D4—2361no—
1577C2×D4—2361no—
1578C2×D4—2361no—
1579C2×D4—2361no—
1580C2×D4—2361no—
1581C2×D4—2364no—
1582C2×D4—2364no—
1583C2×D4—2364no—
1584C2×D4—2364no—
1585C2×D4—2361no—
1586C2×D4—2361no—
1587C2×D4—2361no—
1588C2×D4—2361no—
1589C2×D4—2361no—
1590C2×D4—2364no—
1591C2×D4—2364no—
1592C2×D4—2364no—
1593C2×D4—2364no—
1594C2×D4—2364no—
1595C2×D4—2364no—
1596C2×D4—2364no—
1597C2×D4D4×D5911yescharacteristic
1598C2×D4C23×D5911yescharacteristic
1599C2×D4C23×D5911yescharacteristic
1600C22×C4—21no—
1601C22×C4—21no—
1602C22×C4—21no—
1603C22×C4—21no—
1604C22×C4—21no—
1605C22×C4—591no—
1606C22×C4—591no—
1607C22×C4—591no—
1608C22×C4—591no—
1609C22×C4—591no—
1610C22×C4—591no—
1611C22×C4—591no—
1612C22×C4—591no—
1613C22×C4—591no—
1614C22×C4—591no—
1615C22×C4—591no—
1616C22×C4—1181no—
1617C22×C4—1181no—
1618C22×C4—1181no—
1619C22×C4—1181no—
1620C22×C4—1181no—
1621C22×C4—1181no—
1622C22×C4—1181no—
1623C22×C4—1181no—
1624C22×C4—1181no—
1625C22×C4—1181no—
1626C22×C4—1181no—
1627C22×C4—1181no—
1628C22×C4—1181no—
1629C22×C4—1181no—
1630C22×C4—2361no—
1631C22×C4—2361no—
1632C22×C4—2361no—
1633C22×C4—2361no—
1634C22×C4—2364no—
1635C22×C4—2364no—
1636C22×C4C23×D5911yescharacteristic
1637C22×C4C23×D5911yescharacteristic
1638SD16—22no—
1639SD16—41no—
1640SD16—1182no—
1641SD16—1182no—
1642SD16—1182no—
1643SD16—2361no—
1644SD16—2361no—
1645SD16—2361no—
1646SD16—2361no—
1647SD16—2361no—
1648SD16—2361no—
1649SD16—2361no—
1650D8—41no—
1651D8—1182no—
1652D8—1182no—
1653D8—1182no—
1654D8—1182no—
1655D8—2361no—
1656D8—2361no—
1657D8—2361no—
1658D8—2361no—
1659D8—2361no—
1660D8—2361no—
1661D8—2361no—
1662M16—41no—
1663M16—2361no—
1664M16—2361no—
1665M16—2361no—
1666C2×C8—41no—
1667C2×C8—591no—
1668C2×C8—591no—
1669C2×C8—591no—
1670C2×C8—591no—
1671C2×C8—2361no—
1672C2×C8—2361no—
1673C2×C8—2361no—
1674C2×C8C23×D5911yescharacteristic
1675C2×C8C23×D5911yescharacteristic
1676C2×C8C23×D5911yescharacteristic
1677C2×C8C23×D5911yescharacteristic
1678C4⋊C4—21no—
1679C4⋊C4—21no—
1680C4⋊C4—21no—
1681C4⋊C4—21no—
1682C4⋊C4—21no—
1683C4⋊C4—591no—
1684C4⋊C4—591no—
1685C4⋊C4—591no—
1686C4⋊C4—591no—
1687C4⋊C4—591no—
1688C4⋊C4—1181no—
1689C4⋊C4—1181no—
1690C4⋊C4—1181no—
1691C4⋊C4—1181no—
1692C4⋊C4—1181no—
1693C4⋊C4—1181no—
1694C4⋊C4—1181no—
1695C4⋊C4—1181no—
1696C4⋊C4—1181no—
1697C4⋊C4D4×D5911yescharacteristic
1698C4⋊C4C23×D5911yescharacteristic
1699C4⋊C4C23×D5911yescharacteristic
1700C4⋊C4C23×D5911yescharacteristic
1701C4⋊C4C23×D5911yescharacteristic
1702C22⋊C4—21no—
1703C22⋊C4—21no—
1704C22⋊C4—21no—
1705C22⋊C4—21no—
1706C22⋊C4—21no—
1707C22⋊C4—21no—
1708C22⋊C4—21no—
1709C22⋊C4—591no—
1710C22⋊C4—591no—
1711C22⋊C4—591no—
1712C22⋊C4—591no—
1713C22⋊C4—591no—
1714C22⋊C4—591no—
1715C22⋊C4—1181no—
1716C22⋊C4—1181no—
1717C22⋊C4—1181no—
1718C22⋊C4—1181no—
1719C22⋊C4—1181no—
1720C22⋊C4—1181no—
1721C22⋊C4—1181no—
1722C22⋊C4—1181no—
1723C22⋊C4—1181no—
1724C22⋊C4—1181no—
1725C22⋊C4—1181no—
1726C22⋊C4—1181no—
1727C22⋊C4—1181no—
1728C22⋊C4—1181no—
1729C22⋊C4—1181no—
1730C22⋊C4—1181no—
1731C22⋊C4—1181no—
1732C22⋊C4—1181no—
1733C22⋊C4—1181no—
1734C22⋊C4—1181no—
1735C22⋊C4—1181no—
1736C22⋊C4—1181no—
1737C22⋊C4—1181no—
1738C22⋊C4—1181no—
1739C22⋊C4D4×D5911yescharacteristic
1740C22⋊C4D4×D5911yescharacteristic
1741C42—21no—
1742C42—591no—
1743C42—591no—
1744C42—591no—
1745C42—1181no—
1746C42—1181no—
1747C42C23×D5911yescharacteristic
1748C23—21no—
1749C23—21no—
1750C23—591no—
1751C23—591no—
1752C23—591no—
1753C23—1182no—
1754C23—1182no—
1755C23—1181no—
1756C23—1181no—
1757C23—1181no—
1758C23—1181no—
1759C23—1181no—
1760C23—4721no—
1761C23—4721no—
1762C23—4721no—
1763C23—4721no—
1764C23—4721no—
1765C23—4721no—
1766C23—4721no—
1767C23—4721no—
1768C23—4721no—
1769C23—4721no—
1770C23—2361no—
1771C23—2361no—
1772C23—2361no—
1773C23—2361no—
1774C23—2362no—
1775C23—2362no—
1776C23—2362no—
1777C23—2362no—
1778C23—2362no—
1779C23—2362no—
1780C23—2362no—
1781C23—2362no—
1782C23C2×D4×D5911yescharacteristic
1783C23C2×D4×D5911yescharacteristic
1784Q8—21no—
1785Q8—21no—
1786Q8—21no—
1787Q8—42no—
1788Q8—42no—
1789Q8—1181no—
1790Q8—1181no—
1791Q8—2362no—
1792Q8—2362no—
1793Q8#1427377312yescomplemented
1794D4—22no—
1795D4—21no—
1796D4—21no—
1797D4—21no—
1798D4—21no—
1799D4—42no—
1800D4—42no—
1801D4—42no—
1802D4—42no—
1803D4—594no—
1804D4—592no—
1805D4—1182no—
1806D4—1184no—
1807D4—1182no—
1808D4—1181no—
1809D4—1181no—
1810D4—1181no—
1811D4—1181no—
1812D4—1181no—
1813D4—1181no—
1814D4—1181no—
1815D4—1181no—
1816D4—1181no—
1817D4—4721no—
1818D4—4721no—
1819D4—4721no—
1820D4—4721no—
1821D4—4721no—
1822D4—4721no—
1823D4—4721no—
1824D4—4721no—
1825D4—4721no—
1826D4—2362no—
1827D4—2362no—
1828D4—2362no—
1829D4—2362no—
1830D4—2362no—
1831D4—2362no—
1832D4—2362no—
1833D4—2362no—
1834D4—2362no—
1835D4—2362no—
1836D4—2362no—
1837D4—2362no—
1838D4—2362no—
1839D4—2362no—
1840D4—2362no—
1841D4—2362no—
1842D4—2362no—
1843D4—2362no—
1844D4—2362no—
1845D4—2362no—
1846D4—2362no—
1847C2×C4—21no—
1848C2×C4—21no—
1849C2×C4—21no—
1850C2×C4—21no—
1851C2×C4—21no—
1852C2×C4—21no—
1853C2×C4—21no—
1854C2×C4—21no—
1855C2×C4—21no—
1856C2×C4—21no—
1857C2×C4—42no—
1858C2×C4—42no—
1859C2×C4—42no—
1860C2×C4—42no—
1861C2×C4—42no—
1862C2×C4—591no—
1863C2×C4—591no—
1864C2×C4—591no—
1865C2×C4—591no—
1866C2×C4—591no—
1867C2×C4—1182no—
1868C2×C4—1184no—
1869C2×C4—1181no—
1870C2×C4—1181no—
1871C2×C4—1181no—
1872C2×C4—1181no—
1873C2×C4—1181no—
1874C2×C4—1181no—
1875C2×C4—1181no—
1876C2×C4—1181no—
1877C2×C4—1181no—
1878C2×C4—4721no—
1879C2×C4—2361no—
1880C2×C4—2361no—
1881C2×C4—2361no—
1882C2×C4—2361no—
1883C2×C4—2361no—
1884C2×C4—2362no—
1885C2×C4—2362no—
1886C2×C4—2362no—
1887C2×C4—2362no—
1888C2×C4—2362no—
1889C2×C4—2362no—
1890C2×C4—2362no—
1891C2×C4—2362no—
1892C2×C4—2362no—
1893C2×C4—2362no—
1894C2×C4—2362no—
1895C2×C4—2361no—
1896C2×C4—2361no—
1897C2×C4—2362no—
1898C2×C4C2×D4×D5911yescharacteristic
1899C2×C4C2×D4×D5911yescharacteristic
1900C2×C4C2×D4×D5911yescharacteristic
1901C2×C4C2×D4×D5911yescharacteristic
1902C2×C4C24×D5911yescharacteristic
1903C8—21no—
1904C8—21no—
1905C8—21no—
1906C8—21no—
1907C8—1181no—
1908C8—1181no—
1909C8—1181no—
1910C8—1181no—
1911C22—21no—
1912C22—21no—
1913C22—21no—
1914C22—21no—
1915C22—21no—
1916C22—41no—
1917C22—41no—
1918C22—41no—
1919C22—41no—
1920C22—41no—
1921C22—41no—
1922C22—592no—
1923C22—1181no—
1924C22—1181no—
1925C22—1182no—
1926C22—1181no—
1927C22—1181no—
1928C22—1181no—
1929C22—1181no—
1930C22—1181no—
1931C22—1181no—
1932C22—9442no—
1933C22—9442no—
1934C22—9442no—
1935C22—9442no—
1936C22—4724no—
1937C22—4722no—
1938C22—4722no—
1939C22—4724no—
1940C22—2361no—
1941C22—2361no—
1942C22—2361no—
1943C22—2361no—
1944C22—2361no—
1945C22—2361no—
1946C22—2361no—
1947C22—2361no—
1948C22—2361no—
1949C22—2361no—
1950C22—2361no—
1951C22—2361no—
1952C22—2361no—
1953C22—2361no—
1954C22AGL(1,ℤ/8)×D5912yes—
1955C22C22×D4×D5911yescharacteristic
1956C4—21no—
1957C4—21no—
1958C4—22no—
1959C4—21no—
1960C4—21no—
1961C4—41no—
1962C4—41no—
1963C4—41no—
1964C4—41no—
1965C4—41no—
1966C4—592no—
1967C4—1181no—
1968C4—1181no—
1969C4—1181no—
1970C4—1181no—
1971C4—2361no—
1972C4—2361no—
1973C4—2361no—
1974C4H(5,𝔽2)×D5911yescharacteristic
1975C4C2×#1427377311yescharacteristic
1976C2—22no—
1977C2—41no—
1978C2—81no—
1979C2—81no—
1980C2—1182no—
1981C2—4721no—
1982C2—4721no—
1983C2—4721no—
1984C2—4721no—
1985C2—2361no—
1986C2—2361no—
1987C2—2362no—
1988C2#2143772611yescharacteristic
1989C2C2×AGL(1,ℤ/8)×D5911yescharacteristic
1990C2#2143886611yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3308C2
socleC22×C59C23×D4
hypercenter#3308D59
hypocenterC59#61598
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3308

Complements

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

NH ≅ G/Ntype
1. #21437854C2semidirect
2. #21437585C2semidirect
3. #21436419C2semidirect
4. #21436399C2semidirect
5. #21436084C2semidirect
6. #21436056C2semidirect
7. #21436051C2semidirect
8. #21435957C2semidirect
9. #21435907C2semidirect
10. #21435785C2semidirect
11. #21435770C2semidirect
12. #21435709C2semidirect
13. #21435693C2semidirect
14. #21435593C2semidirect
15. #21435592C2semidirect
16. #21435582C2semidirect
17. #21435581C2semidirect
18. #21435092C2semidirect
19. #21435028C2semidirect
20. #21434911C2semidirect
21. #21434909C2semidirect
22. #21434866C2semidirect
23. #21434856C2semidirect
24. #21434245C2semidirect
25. #21434159C2semidirect
26. #21433349C2semidirect
27. #21433347C2semidirect
28. C2×#16837550C2semidirect
29. #449×D59C2semidirect
30. #21433126C2semidirect
31. C59×#3308C2semidirect
33. C22×#11745689C22semidirect
34. C2×#41×D59C22semidirect
35. C2×#14273755C22semidirect
36. C2×#14273754C22semidirect
37. C2×#14273754C22semidirect
38. C2×#14273752C22semidirect
39. C22×#11745671C22semidirect
40. C2×SD16×D59C22semidirect
41. C22×D472C22semidirect
42. C2×D8×D59C22semidirect
43. #16838071C22semidirect
44. Q8×C22⋊D59C22semidirect
45. #16838064C22semidirect
46. #16838055C22semidirect
48. #16838054C22semidirect
50. #16838053C22semidirect
52. #16838048C22semidirect
54. #16838045C22semidirect
59. D4×D236C22semidirect
60. D4×D236C22semidirect
63. #16838036C22semidirect
64. #16838036C22semidirect
68. #16837953C22semidirect
70. #16837951C22semidirect
71. #16837949C22semidirect
73. #16837915C22semidirect
75. #16837912C22semidirect
76. C2×#14273702C22semidirect
77. C2×#14273702C22semidirect
78. #121×D59C22semidirect
79. #121×D59C22semidirect
80. C4×#11745689C22semidirect
83. #16837792C22semidirect
84. #16837791C22semidirect
85. #16837777C22semidirect
86. #16837773C22semidirect
87. #16837764C22semidirect
88. #16837751C22semidirect
89. #16837747C22semidirect
90. #16837739C22semidirect
91. #16837732C22semidirect
92. #16837731C22semidirect
93. #16837729C22semidirect
94. #16837729C22semidirect
95. #16837729C22semidirect
96. #16837725C22semidirect
97. #16837720C22semidirect
98. #16837719C22semidirect
99. #16837717C22semidirect
100. #16837689C22semidirect
101. #16837685C22semidirect
102. #16837681C22semidirect
103. #16837655C22semidirect
104. #16837654C22semidirect
105. #16837654C22semidirect
106. #16837653C22semidirect
107. #16837650C22semidirect
108. #16837649C22semidirect
109. #16837649C22semidirect
110. #16837639C22semidirect
111. #16837639C22semidirect
112. #16837636C22semidirect
113. #16837634C22semidirect
114. #16837634C22semidirect
115. #16837631C22semidirect
116. #16837629C22semidirect
117. #16837618C22semidirect
118. #16837617C22semidirect
119. #16837614C22semidirect
120. #16837606C22semidirect
121. #16837606C22semidirect
122. #16837602C22semidirect
123. #16837600C22semidirect
124. #16837598C22semidirect
125. #16837596C22semidirect
126. #16837596C22semidirect
127. #16837596C22semidirect
128. #16837555C22semidirect
129. #16837554C22semidirect
130. #16837552C22semidirect
131. #16837551C22semidirect
132. #16837550C22semidirect
133. #16837550C22semidirect
134. #16837550C22semidirect
135. #16837550C22semidirect
136. #16837550C22semidirect
137. #16837550C22semidirect
138. #16837550C22semidirect
139. #16837550C22semidirect
140. #16837550C22semidirect
141. #16837550C22semidirect
142. #16837549C22semidirect
143. #16837548C22semidirect
144. #16837548C22semidirect
145. #16837548C22semidirect
146. #16837547C22semidirect
147. #16837546C22semidirect
148. #16837546C22semidirect
149. #16837545C22semidirect
150. #16837544C22semidirect
151. #16837542C22semidirect
152. #16837542C22semidirect
153. #16837541C22semidirect
154. #16837538C22semidirect
155. #16837538C22semidirect
156. #16837537C22semidirect
157. #16837537C22semidirect
158. #16837537C22semidirect
159. #16837535C22semidirect
160. #16837535C22semidirect
161. #16837534C22semidirect
162. #16837515C22semidirect
163. #16837512C22semidirect
164. #16837500C22semidirect
165. #16837487C22semidirect
166. #16837487C22semidirect
167. #16837484C22semidirect
168. #16837484C22semidirect
169. #16837478C22semidirect
170. #16837477C22semidirect
171. #16837475C22semidirect
172. #16837474C22semidirect
173. #16837472C22semidirect
174. C8×C22⋊D59C22semidirect
175. (C22⋊D59)⋊C8C22semidirect
176. #16837457C22semidirect
177. #16837454C22semidirect
178. #16837402C22semidirect
179. #16837402C22semidirect
180. #16837401C22semidirect
181. #103×D59C22semidirect
182. C2×#14273647C22semidirect
183. #102×D59C22semidirect
184. #16837365C22semidirect
185. #16837364C22semidirect
186. C2×(C2×D59)⋊C8C22semidirect
187. C22⋊C8×D59C22semidirect
188. C59×#548C22semidirect
189. C59×#547C22semidirect
190. C59×#489C22semidirect
191. C59×#484C22semidirect
192. C59×#480C22semidirect
193. C59×#477C22semidirect
194. C59×#468C22semidirect
195. C59×#466C22semidirect
196. C59×#463C22semidirect
197. C59×#449C22semidirect
198. C59×#448C22semidirect
199. C59×#440C22semidirect
200. C59×#435C22semidirect
201. C59×#417C22semidirect
202. C2×#103×C59C22semidirect
793. Q8×C59H(5,𝔽2)semidirect
838. C22⋊D59AGL(1,ℤ/8)semidirect
877. D236H(5,𝔽2)semidirect
986. #3308D59semidirect
1041. #548C2×D59semidirect
1047. #547C2×D59semidirect
1085. #489C2×D59semidirect
1089. #484C2×D59semidirect
1099. #480C2×D59semidirect
1100. #477C2×D59semidirect
1111. #468C2×D59semidirect
1115. #466C2×D59semidirect
1123. #463C2×D59semidirect
1155. #449C2×D59semidirect
1159. #448C2×D59semidirect
1171. #440C2×D59semidirect
1181. #435C2×D59semidirect
1189. #417C2×D59semidirect
1191. C2×#103C2×D59semidirect
1198. C59#61598semidirect
1793. Q8#14273773semidirect

Maximal subgroups

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

subgroupindex
#214378542
#214375852
#214364192
#214363992
#214360842
#214360562
#214360512
#214359572
#214359072
#214357852
#214357702
#214357092
#214356932
#214355932
#214355922
#214355822
#214355812
#214350922
#214350282
#214349112
#214349092
#214348662
#214348562
#214342452
#214341592
#214333492
#214333472
C2×#168375502
#449×D592
#214331262
C59×#33082
#6159859