Finite Group Databasebeta

← #29463993

Subgroups — #29463993

Order 15104.

3074 conjugacy classes of subgroups.

The subgroup lattice has 2204 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16838206C211yesmaximal, characteristic, complemented
2C22×D8×D59C211yesmaximal, characteristic, complemented
3#21437726C211yesmaximal, characteristic, complemented
4#21437724C211yesmaximal, characteristic, complemented
5#21435779C211yesmaximal, characteristic, complemented
6#21435777C211yesmaximal, characteristic, complemented
7#21435776C211yesmaximal, characteristic, complemented
8#21435774C211yesmaximal, characteristic, complemented
9D4×#11745669C211yesmaximal, characteristic, complemented
10#21435768C211yesmaximal, characteristic, complemented
11#21435766C211yesmaximal, characteristic, complemented
12#21435766C211yesmaximal, characteristic, complemented
13#21435583C211yesmaximal, characteristic, complemented
14#21435581C211yesmaximal, characteristic, complemented
15#21435578C211yesmaximal, characteristic, complemented
16#21435576C211yesmaximal, characteristic, complemented
17#21435575C211yesmaximal, characteristic, complemented
18#21435573C211yesmaximal, characteristic, complemented
19#21435570C211yesmaximal, characteristic, complemented
20#21434580C211yesmaximal, characteristic, complemented
21#21433742C211yesmaximal, characteristic, complemented
22#21433672C211yesmaximal, characteristic, complemented
23#21433597C211yesmaximal, characteristic, complemented
24#21433594C211yesmaximal, characteristic, complemented
25#21433361C211yesmaximal, characteristic, complemented
26#21433359C211yesmaximal, characteristic, complemented
27#21433324C211yesmaximal, characteristic, complemented
28#21433320C211yesmaximal, characteristic, complemented
29#21432945C211yesmaximal, characteristic, complemented
30#21432787C211yesmaximal, characteristic, complemented
31C59×#3264C211yesmaximal, characteristic, complemented
32C2×#14273773C2211yescharacteristic, complemented
33C2×#14273772C2211yescharacteristic, complemented
34C22×D4×D59C2211yescharacteristic, complemented
35C22×D4×D59C2211yescharacteristic, complemented
36#16838206—28no—
37C2×#14273755C2211yescharacteristic, complemented
38C2×#14273754C2211yescharacteristic, complemented
39C2×#14273754C2211yescharacteristic, complemented
40C2×#14273754C2211yescharacteristic, complemented
41C2×#14273751C2211yescharacteristic, complemented
42C2×#14273751C2211yescharacteristic, complemented
43C2×#14273751C2211yescharacteristic, complemented
44C2×#14273748C2211yescharacteristic, complemented
45C2×#14273748C2211yescharacteristic, complemented
46C2×#14273747C2211yescharacteristic, complemented
47C22×D472C2211yescharacteristic, complemented
48C22×#11745669C2211yescharacteristic, complemented
49C22×#11745669C2211yescharacteristic, complemented
50C22×#11745669C2211yescharacteristic, complemented
51C2×D8×D59—28no—
52C2×D8×D59C2211yescharacteristic
53C2×D8×D59C2211yescharacteristic, complemented
54C2×D8×D59C2211yescharacteristic, complemented
55C2×D8×D59C2211yescharacteristic, complemented
56C2×D8×D59C2211yescharacteristic, complemented
57C2×D8×D59C2211yescharacteristic, complemented
58C2×D8×D59C2211yescharacteristic, complemented
59C2×D8×D59C2211yescharacteristic, complemented
60C2×D8×D59C2211yescharacteristic, complemented
61C2×#14273735C2211yescharacteristic, complemented
62C22×C8×D59C2211yescharacteristic, complemented
63#16838049C2211yescharacteristic, complemented
64#16838048C2211yescharacteristic, complemented
65#16838047C2211yescharacteristic, complemented
66#16838046C2211yescharacteristic, complemented
67#16838045C2211yescharacteristic, complemented
68#16838044—21no—
69#16838043C2211yescharacteristic, complemented
70#16838042—21no—
71#16838041—21no—
72#16838040C2211yescharacteristic, complemented
73#16838039—21no—
74D4×D236C2211yescharacteristic, complemented
75D4×D236C2211yescharacteristic, complemented
76#16838037C2211yescharacteristic, complemented
77#16838036—21no—
78#16838036C2211yescharacteristic, complemented
79#16838036C2211yescharacteristic, complemented
80D4×C22⋊D59—21no—
81D4×C22⋊D59C2211yescharacteristic, complemented
82D4×C22⋊D59C2211yescharacteristic, complemented
83#16838034—21no—
84#16838034—21no—
85#16837970C2211yescharacteristic, complemented
86#16837968C2211yescharacteristic, complemented
87#16837968C2211yescharacteristic, complemented
88#16837965C2211yescharacteristic, complemented
89#16837963—21no—
90#16837962—21no—
91#16837960—21no—
92#16837960—21no—
93#16837915C2211yescharacteristic, complemented
94#16837912C2211yescharacteristic, complemented
95#16837911C2211yescharacteristic
96C2×#14273697—21no—
97C2×#14273695—21no—
98#120×D59—21no—
99#120×D59—21no—
100#16837874C2211yescharacteristic, complemented
101#16837874C2211yescharacteristic, complemented
102#16837791C2211yescharacteristic, complemented
103#16837790C2211yescharacteristic, complemented
104#16837788C2211yescharacteristic, complemented
105#16837784C2211yescharacteristic, complemented
106#16837783C2211yescharacteristic, complemented
107#16837778C2211yescharacteristic, complemented
108#16837777C2211yescharacteristic, complemented
109#16837656C2211yescharacteristic, complemented
110#16837655C2211yescharacteristic, complemented
111#16837652C2211yescharacteristic, complemented
112#16837642C2211yescharacteristic, complemented
113#16837641C2211yescharacteristic, complemented
114#16837637C2211yescharacteristic, complemented
115#16837637C2211yescharacteristic, complemented
116#16837637C2211yescharacteristic, complemented
117#16837636C2211yescharacteristic, complemented
118#16837636C2211yescharacteristic, complemented
119#16837636C2211yescharacteristic, complemented
120#16837632C2211yescharacteristic, complemented
121#16837631C2211yescharacteristic, complemented
122#16837628C2211yescharacteristic, complemented
123#16837620C2211yescharacteristic, complemented
124#16837619C2211yescharacteristic, complemented
125#16837618C2211yescharacteristic, complemented
126#16837617C2211yescharacteristic, complemented
127#16837616C2211yescharacteristic, complemented
128#16837615C2211yescharacteristic, complemented
129#16837614C2211yescharacteristic, complemented
130#16837598C2211yescharacteristic, complemented
131#16837597C2211yescharacteristic, complemented
132#16837596C2211yescharacteristic, complemented
133#16837596C2211yescharacteristic, complemented
134#16837595C2211yescharacteristic, complemented
135#16837595C2211yescharacteristic, complemented
136#16837594C2211yescharacteristic, complemented
137#16837555C2211yescharacteristic, complemented
138#16837554C2211yescharacteristic, complemented
139#16837554C2211yescharacteristic, complemented
140#16837553C2211yescharacteristic, complemented
141#16837552C2211yescharacteristic, complemented
142#16837551C2211yescharacteristic, complemented
143#16837551C2211yescharacteristic, complemented
144#16837550C2211yescharacteristic, complemented
145#16837549C2211yescharacteristic, complemented
146#16837548C2211yescharacteristic, complemented
147#16837547C2211yescharacteristic, complemented
148#16837546C2211yescharacteristic, complemented
149#16837545C2211yescharacteristic, complemented
150#16837544C2211yescharacteristic, complemented
151#16837538C2211yescharacteristic, complemented
152#16837538C2211yescharacteristic, complemented
153#16837537C2211yescharacteristic, complemented
154#16837537C2211yescharacteristic, complemented
155#16837537C2211yescharacteristic, complemented
156#16837537C2211yescharacteristic, complemented
157#16837536C2211yescharacteristic, complemented
158#16837536C2211yescharacteristic, complemented
159#16837535C2211yescharacteristic, complemented
160#16837535C2211yescharacteristic, complemented
161#16837534C2211yescharacteristic, complemented
162#16837534C2211yescharacteristic, complemented
163#16837534C2211yescharacteristic, complemented
164#16837534C2211yescharacteristic, complemented
165#16837515C2211yescharacteristic, complemented
166#16837514C2211yescharacteristic, complemented
167#16837513C2211yescharacteristic, complemented
168C4×#11745669C2211yescharacteristic, complemented
169C4×#11745669C2211yescharacteristic, complemented
170#16837482C2211yescharacteristic, complemented
171#16837482C2211yescharacteristic, complemented
172#16837475C2211yescharacteristic, complemented
173#16837473C2211yescharacteristic, complemented
174#16837471C2211yescharacteristic, complemented
175D4×C59⋊C8C2211yescharacteristic, complemented
176#16837467C2211yescharacteristic, complemented
177(C22⋊D59)⋊C8C2211yescharacteristic, complemented
178(C22⋊D59)⋊C8C2211yescharacteristic, complemented
179#16837437C2211yescharacteristic, complemented
180#16837427C2211yescharacteristic, complemented
181#16837405C2211yescharacteristic, complemented
182#16837405C2211yescharacteristic, complemented
183#16837405C2211yescharacteristic, complemented
184#16837405C2211yescharacteristic, complemented
185#16837397C2211yescharacteristic, complemented
186#16837395C2211yescharacteristic, complemented
187#16837367C2211yescharacteristic, complemented
188#16837364C2211yescharacteristic, complemented
189#16837359C2211yescharacteristic, complemented
190C2×AGL(1,ℤ/8)×C59C2211yescharacteristic, complemented
191C22×D8×C59C2211yescharacteristic, complemented
192C59×#546C2211yescharacteristic, complemented
193D42×C59C2211yescharacteristic, complemented
194C59×#496C2211yescharacteristic, complemented
195C59×#469C2211yescharacteristic, complemented
196C59×#465C2211yescharacteristic, complemented
197C59×#463C2211yescharacteristic, complemented
198C59×#459C2211yescharacteristic, complemented
199C59×#450C2211yescharacteristic, complemented
200C59×#449C2211yescharacteristic, complemented
201C59×#447C2211yescharacteristic, complemented
202C59×#447C2211yescharacteristic, complemented
203C59×#442C2211yescharacteristic, complemented
204C59×#435C2211yescharacteristic, complemented
205C24×D59—21no—
206C24×D59—21no—
207#14273773—24no—
208#14273773—42no—
209#14273772—24no—
210#14273772—42no—
211C2×#11745689C2311yescharacteristic
212C2×#11745689C2311yescharacteristic, complemented
213C2×#11745685—21no—
214C2×#11745685C2311yescharacteristic
215C2×#11745685C2311yescharacteristic, complemented
216C2×#11745687—21no—
217C2×#11745687C2311yescharacteristic
218C2×#11745687C2311yescharacteristic, complemented
219C22×D236—21no—
220C22×D236—21no—
221C22×D236C2311yescharacteristic
222C22×D236C2311yescharacteristic
223C22×D236C2311yescharacteristic, complemented
224C22×C22⋊D59—21no—
225C22×C22⋊D59—21no—
226C22×C22⋊D59—21no—
227C22×C22⋊D59—21no—
228C22×C22⋊D59—21no—
229C22×C22⋊D59—21no—
230C2×D4×D59—24no—
231C2×D4×D59—24no—
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×D59—21no—
239C2×D4×D59—21no—
240C2×D4×D59—21no—
241C2×D4×D59—21no—
242C2×D4×D59—21no—
243C2×D4×D59—42no—
244C2×D4×D59—42no—
245C2×D4×D59C2311yescharacteristic
246C2×D4×D59C2311yescharacteristic
247C2×D4×D59C2311yescharacteristic
248C2×D4×D59C2311yescharacteristic
249C2×D4×D59C2311yescharacteristic
250C2×D4×D59C2311yescharacteristic
251C2×D4×D59C2311yescharacteristic
252C2×D4×D59C2311yescharacteristic
253C2×D4×D59C2311yescharacteristic, complemented
254C2×D4×D59C2311yescharacteristic, complemented
255C22×C4×D59C2311yescharacteristic
256#14273755—24no—
257#14273754—24no—
258#14273754—24no—
259#14273754—42no—
260#14273751—24no—
261#14273751—24no—
262#14273751—42no—
263#14273748—24no—
264#14273748—24no—
265#14273747—24no—
266C2×#11745672C2311yescharacteristic, complemented
267C2×#11745660C2311yescharacteristic, complemented
268C2×#11745660C2311yescharacteristic, complemented
269C2×#11745660C2311yescharacteristic, complemented
270C2×#11745670C2311yescharacteristic, complemented
271C2×#11745670C2311yescharacteristic, complemented
272C2×#11745671C2311yescharacteristic, complemented
273C2×#11745671C2311yescharacteristic, complemented
274C2×D472—24no—
275C2×D472C2311yescharacteristic
276C2×D472C2311yescharacteristic
277C2×D472C2311yescharacteristic
278C2×D472C2311yescharacteristic
279C2×D472C2311yescharacteristic, complemented
280C2×D472C2311yescharacteristic, complemented
281C2×#11745669—24no—
282C2×#11745669—24no—
283C2×#11745669—24no—
284C2×#11745669C2311yescharacteristic
285C2×#11745669C2311yescharacteristic
286C2×#11745669C2311yescharacteristic
287C2×#11745669C2311yescharacteristic
288C2×#11745669C2311yescharacteristic
289C2×#11745669C2311yescharacteristic
290C2×#11745669C2311yescharacteristic
291C2×#11745669C2311yescharacteristic
292C2×#11745669C2311yescharacteristic, complemented
293C2×#11745669C2311yescharacteristic, complemented
294C2×#11745669C2311yescharacteristic, complemented
295C2×#11745669C2311yescharacteristic, complemented
296C2×#11745669C2311yescharacteristic, complemented
297D8×D59—24no—
298D8×D59—24no—
299D8×D59—24no—
300D8×D59—24no—
301D8×D59—24no—
302D8×D59—24no—
303D8×D59—24no—
304D8×D59—24no—
305D8×D59D418yescomplemented
306#14273735—24no—
307C2×#11745659C2311yescharacteristic
308C2×#11745659C2311yescharacteristic
309C2×#11745659C2311yescharacteristic, complemented
310C22×C59⋊C8C2311yescharacteristic
311C22×C59⋊C8C2311yescharacteristic, complemented
312C2×C8×D59—24no—
313C2×C8×D59C2311yescharacteristic
314C2×C8×D59C2311yescharacteristic
315C2×C8×D59C2311yescharacteristic
316C2×C8×D59C2311yescharacteristic
317C2×C8×D59C2311yescharacteristic, complemented
318#14273724C2311yescharacteristic, complemented
319#14273723—21no—
320#14273723—21no—
321#14273723C2311yescharacteristic, complemented
322#14273723C2311yescharacteristic, complemented
323#14273716C2311yescharacteristic, complemented
324#14273715C2311yescharacteristic, complemented
325#14273714C2311yescharacteristic, complemented
326#14273713—21no—
327#14273713—21no—
328#14273712—21no—
329#14273712—21no—
330#14273712—21no—
331#14273712D411yescharacteristic
332#14273711—21no—
333#14273710—21no—
334#14273709—21no—
335#14273709—21no—
336#14273709—21no—
337#14273709D411yescharacteristic
338#14273708—21no—
339#14273707C2311yescharacteristic
340#14273706C2311yescharacteristic
341#14273705D411yescharacteristic
342#14273704D411yescharacteristic
343#14273703C2311yescharacteristic
344#14273702—21no—
345#14273702—21no—
346#14273702C2311yescharacteristic
347#14273702C2311yescharacteristic, complemented
348#14273702C2311yescharacteristic, complemented
349#14273701—21no—
350#14273701—21no—
351#14273701C2311yescharacteristic
352#14273701C2311yescharacteristic, complemented
353#14273701C2311yescharacteristic, complemented
354#14273700—21no—
355#14273700—21no—
356#14273700—21no—
357#14273700—21no—
358#14273700—21no—
359#14273700—21no—
360#14273700D411yescharacteristic
361#14273699—21no—
362#14273699—21no—
363#14273699—21no—
364#14273699—21no—
365#14273699—21no—
366#14273699—21no—
367#14273699D411yescharacteristic
368#14273698—21no—
369#14273698—21no—
370#14273698C2311yescharacteristic
371#14273698C2311yescharacteristic, complemented
372#14273698C2311yescharacteristic, complemented
373#14273697—21no—
374#14273697—21no—
375#14273697—21no—
376#14273697—21no—
377#14273697—21no—
378#14273697—21no—
379#14273697—21no—
380#14273697—21no—
381#14273697—21no—
382#14273697—21no—
383#14273697—21no—
384#14273697—21no—
385#14273697—21no—
386#14273697—21no—
387#14273697D411yescharacteristic
388#14273696—21no—
389#14273696—21no—
390#14273696—21no—
391#14273695—21no—
392#14273695—21no—
393#14273695—21no—
394#14273695—21no—
395#14273695—21no—
396#14273695—21no—
397#14273695—21no—
398#14273695—21no—
399#14273695—21no—
400#14273695—21no—
401#14273695—21no—
402#14273695—21no—
403#14273695—21no—
404#14273695—21no—
405#14273695D411yescharacteristic
406C4×D236C2311yescharacteristic
407C4×D236C2311yescharacteristic, complemented
408C4×D236C2311yescharacteristic, complemented
409D4×Dic59—21no—
410D4×Dic59C2311yescharacteristic, complemented
411D4×Dic59C2311yescharacteristic, complemented
412#14273689—21no—
413#14273689C2311yescharacteristic, complemented
414#14273689C2311yescharacteristic, complemented
415C4×C22⋊D59—21no—
416C4×C22⋊D59—21no—
417C4×C22⋊D59C2311yescharacteristic
418C4×C22⋊D59C2311yescharacteristic
419(C22⋊D59)⋊C4—21no—
420(C22⋊D59)⋊C4—21no—
421(C22⋊D59)⋊C4—21no—
422(C22⋊D59)⋊C4—21no—
423#14273685C2311yescharacteristic
424#14273685C2311yescharacteristic
425#14273684C2311yescharacteristic
426C2×C22⋊Dic59—21no—
427C2×(C2×D59)⋊C4—21no—
428C2×(C2×D59)⋊C4—21no—
429C2×(C2×D59)⋊C4—21no—
430C2×(C2×D59)⋊C4—21no—
431C22⋊C4×D59—21no—
432C22⋊C4×D59—21no—
433C22⋊C4×D59—21no—
434C22⋊C4×D59—21no—
435C22⋊C4×D59—21no—
436C22⋊C4×D59—21no—
437#14273660C2311yescharacteristic, complemented
438#14273660C2311yescharacteristic, complemented
439#14273659C2311yescharacteristic, complemented
440C4⋊(C59⋊C8)C2311yescharacteristic, complemented
441Dic59⋊C8C2311yescharacteristic, complemented
442Dic59⋊C8C2311yescharacteristic, complemented
443#14273652C2311yescharacteristic, complemented
444#14273651C2311yescharacteristic, complemented
445#14273650C2311yescharacteristic, complemented
446#14273649C2311yescharacteristic, complemented
447#14273649C2311yescharacteristic, complemented
448#14273649C2311yescharacteristic, complemented
449#14273649C2311yescharacteristic, complemented
450#14273649C2311yescharacteristic, complemented
451#14273648C2311yescharacteristic, complemented
452#14273648C2311yescharacteristic, complemented
453#14273648C2311yescharacteristic, complemented
454#14273648C2311yescharacteristic, complemented
455#14273648C2311yescharacteristic, complemented
456#14273647C2311yescharacteristic, complemented
457#14273647C2311yescharacteristic, complemented
458#14273647C2311yescharacteristic, complemented
459#14273647C2311yescharacteristic, complemented
460#14273647C2311yescharacteristic, complemented
461C22⋊(C59⋊C8)C2311yescharacteristic
462C22⋊(C59⋊C8)C2311yescharacteristic, complemented
463(C2×D59)⋊C8C2311yescharacteristic
464(C2×D59)⋊C8C2311yescharacteristic
465(C2×D59)⋊C8C2311yescharacteristic, complemented
466(C2×D59)⋊C8C2311yescharacteristic, complemented
467#14273637C2311yescharacteristic, complemented
468C4×C59⋊C8C2311yescharacteristic, complemented
469C8×Dic59C2311yescharacteristic, complemented
470C2×#41×C59C2311yescharacteristic, complemented
471C22×D4×C59—21no—
472C22×D4×C59C2311yescharacteristic
473C22×D4×C59C2311yescharacteristic
474C22×D4×C59C2311yescharacteristic, complemented
475AGL(1,ℤ/8)×C59—24no—
476C2×SD16×C59C2311yescharacteristic, complemented
477C2×SD16×C59C2311yescharacteristic, complemented
478C2×SD16×C59C2311yescharacteristic, complemented
479C2×D8×C59—24no—
480C2×D8×C59C2311yescharacteristic
481C2×D8×C59C2311yescharacteristic
482C2×D8×C59C2311yescharacteristic
483C2×D8×C59C2311yescharacteristic
484C2×D8×C59C2311yescharacteristic, complemented
485C2×D8×C59C2311yescharacteristic, complemented
486C2×M16×C59C2311yescharacteristic, complemented
487C22×C8×C59C2311yescharacteristic
488#127×C59C2311yescharacteristic, complemented
489#124×C59C2311yescharacteristic, complemented
490#123×C59—21no—
491C22⋊Q8×C59C2311yescharacteristic
492#121×C59—21no—
493#121×C59—21no—
494#121×C59C2311yescharacteristic
495#121×C59C2311yescharacteristic, complemented
496#121×C59C2311yescharacteristic, complemented
497#120×C59—21no—
498#120×C59—21no—
499#120×C59—21no—
500C4×D4×C59C2311yescharacteristic
501C4×D4×C59C2311yescharacteristic, complemented
502C4×D4×C59C2311yescharacteristic, complemented
503C2×C22⋊C4×C59—21no—
504#106×C59C2311yescharacteristic, complemented
505C4⋊C8×C59C2311yescharacteristic, complemented
506#103×C59C2311yescharacteristic, complemented
507#102×C59C2311yescharacteristic, complemented
508#102×C59C2311yescharacteristic, complemented
509#102×C59C2311yescharacteristic, complemented
510#102×C59C2311yescharacteristic, complemented
511#102×C59C2311yescharacteristic, complemented
512C22⋊C8×C59C2311yescharacteristic
513C22⋊C8×C59C2311yescharacteristic, complemented
514#97×C59C2311yescharacteristic, complemented
515C24×C59—21no—
516C24×C59—21no—
517C24×C59—21no—
518C23×D59—21no—
519C23×D59—21no—
520C23×D59—21no—
521C23×D59—21no—
522C23×D59—21no—
523C23×D59—21no—
524C23×D59—21no—
525C23×D59—21no—
526C23×D59—21no—
527C23×D59—21no—
528C23×D59—21no—
529C23×D59—21no—
530C23×D59—21no—
531C23×D59—44no—
532C23×D59—44no—
533C23×D59—82no—
534C23×D59—82no—
535C23×D59—82no—
536C23×D59—82no—
537C23×D59C2×D411yescharacteristic
538#41×C59—22no—
539#41×C59—41no—
540C2×Q8×C59C2411yescharacteristic
541C2×D4×C59—22no—
542C2×D4×C59—22no—
543C2×D4×C59—22no—
544C2×D4×C59—21no—
545C2×D4×C59—21no—
546C2×D4×C59—21no—
547C2×D4×C59—21no—
548C2×D4×C59—21no—
549C2×D4×C59—21no—
550C2×D4×C59—21no—
551C2×D4×C59—21no—
552C2×D4×C59—21no—
553C2×D4×C59—41no—
554C2×D4×C59—41no—
555C2×D4×C59—41no—
556C2×D4×C59—82no—
557C2×D4×C59C2×D411yescharacteristic
558C2×D4×C59C2411yescharacteristic
559C2×D4×C59C2411yescharacteristic
560C2×D4×C59C2411yescharacteristic
561C2×D4×C59C2411yescharacteristic
562C2×D4×C59C2411yescharacteristic
563C22×C4×C59—21no—
564C22×C4×C59—21no—
565C22×C4×C59—21no—
566C22×C4×C59C2411yescharacteristic
567C22×C4×C59C2411yescharacteristic
568C2×C22⋊D59—21no—
569C2×C22⋊D59—21no—
570C2×C22⋊D59—21no—
571C2×C22⋊D59—21no—
572C2×C22⋊D59—21no—
573C2×C22⋊D59—21no—
574C2×C22⋊D59—21no—
575C2×C22⋊D59—21no—
576C2×C22⋊D59—21no—
577C2×C22⋊D59—21no—
578C2×C22⋊D59—21no—
579C2×C22⋊D59—21no—
580C2×C22⋊D59—21no—
581C2×C22⋊D59—21no—
582C2×C22⋊D59—21no—
583C2×C22⋊D59—21no—
584C2×C22⋊D59—21no—
585C2×C22⋊D59—21no—
586C2×C22⋊D59—21no—
587C2×C22⋊D59—21no—
588C2×C22⋊D59—21no—
589C2×C22⋊D59—21no—
590C2×C22⋊D59—21no—
591C2×C22⋊D59—44no—
592C2×C22⋊D59—44no—
593C2×C22⋊D59—44no—
594C2×C22⋊D59—44no—
595C2×C22⋊D59—82no—
596C2×C22⋊D59—82no—
597C2×C22⋊D59C2×D411yescharacteristic
598C2×C22⋊D59C2×D411yescharacteristic
599C2×C22⋊D59C2×D411yescharacteristic
600C2×C22⋊D59C2×D411yescharacteristic
601C22×Dic59—21no—
602C22×Dic59—21no—
603C22×Dic59—21no—
604C22×Dic59—21no—
605C22×Dic59C2×D411yescharacteristic
606#11745689—22no—
607#11745689—22no—
608#11745689—22no—
609#11745689—41no—
610#11745687—22no—
611#11745687—22no—
612#11745687—22no—
613#11745687—41no—
614#11745687—44no—
615D4×D59—22no—
616D4×D59—22no—
617D4×D59—22no—
618D4×D59—22no—
619D4×D59—22no—
620D4×D59—22no—
621D4×D59—22no—
622D4×D59—22no—
623D4×D59—22no—
624D4×D59—22no—
625D4×D59—22no—
626D4×D59—22no—
627D4×D59—41no—
628D4×D59—41no—
629D4×D59—41no—
630D4×D59—41no—
631D4×D59—41no—
632D4×D59—41no—
633D4×D59—44no—
634D4×D59—44no—
635D4×D59—44no—
636D4×D59—44no—
637D4×D59—44no—
638D4×D59—44no—
639D4×D59—44no—
640D4×D59—82no—
641D4×D59—82no—
642D4×D59—82no—
643D4×D59—82no—
644D4×D59C2×D414yescomplemented
645D4×D59C2×D414yescomplemented
646#11745685—22no—
647#11745685—22no—
648#11745685—22no—
649#11745685—41no—
650#11745685—44no—
651C2×D236—22no—
652C2×D236—22no—
653C2×D236—22no—
654C2×D236—21no—
655C2×D236—21no—
656C2×D236—21no—
657C2×D236—21no—
658C2×D236—21no—
659C2×D236—21no—
660C2×D236—21no—
661C2×D236—21no—
662C2×D236—21no—
663C2×D236—21no—
664C2×D236—41no—
665C2×D236—41no—
666C2×D236—41no—
667C2×D236—44no—
668C2×D236—82no—
669C2×D236C2×D411yescharacteristic
670C2×D236C2×D411yescharacteristic
671C2×D236C2411yescharacteristic
672C2×D236C2411yescharacteristic
673C2×D236C2411yescharacteristic
674C2×D236C2411yescharacteristic
675C2×D236C2411yescharacteristic
676C2×C4×D59—22no—
677C2×C4×D59—22no—
678C2×C4×D59—21no—
679C2×C4×D59—21no—
680C2×C4×D59—21no—
681C2×C4×D59—21no—
682C2×C4×D59—21no—
683C2×C4×D59—21no—
684C2×C4×D59—21no—
685C2×C4×D59C2×D411yescharacteristic
686C2×C4×D59C2×D411yescharacteristic
687C2×C4×D59C2411yescharacteristic
688C2×C4×D59C2411yescharacteristic
689C2×C4×D59C2411yescharacteristic
690C2×Dic118C2×D411yescharacteristic
691C2×Dic118C2411yescharacteristic
692SD16×C59—22no—
693SD16×C59—22no—
694SD16×C59—41no—
695D8×C59—22no—
696D8×C59—22no—
697D8×C59—22no—
698D8×C59—22no—
699D8×C59—41no—
700D8×C59C2×D414yescomplemented
701M16×C59—22no—
702C2×C8×C59—22no—
703C2×C8×C59C2411yescharacteristic
704C2×C8×C59C2411yescharacteristic
705C2×C8×C59C2411yescharacteristic
706C2×C8×C59C2411yescharacteristic
707C4⋊C4×C59—21no—
708C4⋊C4×C59C2×D411yescharacteristic
709C4⋊C4×C59C2411yescharacteristic
710C4⋊C4×C59C2411yescharacteristic
711C22⋊C4×C59—21no—
712C22⋊C4×C59—21no—
713C22⋊C4×C59—21no—
714C22⋊C4×C59—21no—
715C22⋊C4×C59—21no—
716C22⋊C4×C59—21no—
717C22⋊C4×C59—21no—
718C22⋊C4×C59—21no—
719C22⋊C4×C59C2×D411yescharacteristic
720C22⋊C4×C59C2×D411yescharacteristic
721C42×C59C2411yescharacteristic
722C22⋊Dic59—21no—
723C22⋊Dic59—21no—
724C22⋊Dic59—21no—
725C22⋊Dic59—21no—
726C22⋊Dic59—21no—
727C22⋊Dic59—21no—
728C22⋊Dic59—21no—
729C22⋊Dic59—21no—
730C22⋊Dic59C2×D411yescharacteristic
731C22⋊Dic59C2×D411yescharacteristic
732#11745672—22no—
733#11745671—22no—
734#11745671—41no—
735#11745670—22no—
736#11745670—41no—
737#11745669—22no—
738#11745669—22no—
739#11745669—22no—
740#11745669—22no—
741#11745669—22no—
742#11745669—22no—
743#11745669—22no—
744#11745669—22no—
745#11745669—22no—
746#11745669—41no—
747#11745669—41no—
748#11745669C2×D414yescomplemented
749#11745669C2×D414yescomplemented
750(C2×D59)⋊C4—21no—
751(C2×D59)⋊C4—21no—
752(C2×D59)⋊C4—21no—
753(C2×D59)⋊C4—21no—
754(C2×D59)⋊C4—21no—
755(C2×D59)⋊C4—21no—
756(C2×D59)⋊C4—21no—
757(C2×D59)⋊C4—21no—
758(C2×D59)⋊C4—21no—
759(C2×D59)⋊C4—21no—
760(C2×D59)⋊C4—21no—
761(C2×D59)⋊C4—21no—
762(C2×D59)⋊C4—21no—
763(C2×D59)⋊C4—21no—
764(C2×D59)⋊C4—21no—
765(C2×D59)⋊C4—21no—
766(C2×D59)⋊C4—21no—
767(C2×D59)⋊C4—21no—
768(C2×D59)⋊C4C2×D411yescharacteristic
769(C2×D59)⋊C4C2×D411yescharacteristic
770(C2×D59)⋊C4C2×D411yescharacteristic
771(C2×D59)⋊C4C2×D411yescharacteristic
772(C2×D59)⋊C4C2×D411yescharacteristic
773(C2×D59)⋊C4C2×D411yescharacteristic
774C4⋊Dic59—21no—
775C4⋊Dic59C2×D411yescharacteristic
776C4⋊Dic59C2411yescharacteristic
777C4⋊Dic59C2411yescharacteristic
778Dic59⋊C4—21no—
779Dic59⋊C4—21no—
780Dic59⋊C4C2×D411yescharacteristic
781Dic59⋊C4C2×D411yescharacteristic
782Dic59⋊C4C2×D411yescharacteristic
783Dic59⋊C4C2×D411yescharacteristic
784C4×Dic59—21no—
785C4×Dic59—21no—
786C4×Dic59C2411yescharacteristic
787C2×C59⋊C8—22no—
788C2×C59⋊C8—22no—
789C2×C59⋊C8C2411yescharacteristic
790C2×C59⋊C8C2411yescharacteristic
791C2×C59⋊C8C2411yescharacteristic
792C2×C59⋊C8C2411yescharacteristic
793D472—22no—
794D472—22no—
795D472—22no—
796D472—22no—
797D472—41no—
798D472C2×D414yescomplemented
799#11745660—22no—
800#11745660—22no—
801#11745660—41no—
802#11745659—22no—
803#11745659—22no—
804#11745659—22no—
805C8×D59—22no—
806C8×D59—22no—
807C8×D59—22no—
808C8×D59—22no—
809C8×D59C2×D414yescomplemented
810C23×C59—21no—
811C23×C59—21no—
812C23×C59—21no—
813C23×C59—21no—
814C23×C59—21no—
815C23×C59—42no—
816C23×C59—42no—
817C23×C59—42no—
818C23×C59—42no—
819C23×C59—42no—
820C23×C59—81no—
821C23×C59—81no—
822C23×C59—81no—
823C23×C59—81no—
824C23×C59C22×D411yescharacteristic
825C23×C59C22×D411yescharacteristic
826C22×D59—22no—
827C22×D59—22no—
828C22×D59—22no—
829C22×D59—21no—
830C22×D59—21no—
831C22×D59—24no—
832C22×D59—24no—
833C22×D59—21no—
834C22×D59—21no—
835C22×D59—21no—
836C22×D59—42no—
837C22×D59—42no—
838C22×D59—42no—
839C22×D59—42no—
840C22×D59—42no—
841C22×D59—42no—
842C22×D59—42no—
843C22×D59—42no—
844C22×D59—42no—
845C22×D59—42no—
846C22×D59—42no—
847C22×D59—42no—
848C22×D59—42no—
849C22×D59—42no—
850C22×D59—42no—
851C22×D59—42no—
852C22×D59—42no—
853C22×D59—81no—
854C22×D59—81no—
855C22×D59—81no—
856C22×D59—81no—
857C22×D59—81no—
858C22×D59—81no—
859C22×D59—81no—
860C22×D59—81no—
861C22×D59—81no—
862C22×D59—81no—
863C22×D59—81no—
864C22×D59—81no—
865C22×D59—81no—
866C22×D59—81no—
867C22×D59—81no—
868C22×D59—81no—
869C22×D59—816no—
870C22×D59—816no—
871C22×D59—81no—
872C22×D59—81no—
873C22×D59—81no—
874C22×D59—81no—
875C22×D59C22×D411yescharacteristic
876C22×D59C22×D411yescharacteristic
877C22×D59C22×D411yescharacteristic
878Q8×C59—21no—
879Q8×C59—21no—
880D4×C59—22no—
881D4×C59—21no—
882D4×C59—21no—
883D4×C59—21no—
884D4×C59—21no—
885D4×C59—21no—
886D4×C59—21no—
887D4×C59—21no—
888D4×C59—21no—
889D4×C59—42no—
890D4×C59—42no—
891D4×C59—42no—
892D4×C59—42no—
893D4×C59—42no—
894D4×C59—81no—
895D4×C59—81no—
896D4×C59—81no—
897D4×C59—81no—
898D4×C59C22×D412yes—
899D4×C59C22×D412yes—
900C2×C4×C59—21no—
901C2×C4×C59—21no—
902C2×C4×C59—21no—
903C2×C4×C59—21no—
904C2×C4×C59—21no—
905C2×C4×C59—21no—
906C2×C4×C59—21no—
907C2×C4×C59—42no—
908C2×C4×C59—81no—
909C2×C4×C59—81no—
910C2×C4×C59C22×D411yescharacteristic
911C2×C4×C59C22×D411yescharacteristic
912C2×C4×C59C22×D411yescharacteristic
913C2×C4×C59C22×D411yescharacteristic
914C2×C4×C59C2511yescharacteristic
915C22⋊D59—22no—
916C22⋊D59—22no—
917C22⋊D59—22no—
918C22⋊D59—22no—
919C22⋊D59—24no—
920C22⋊D59—24no—
921C22⋊D59—42no—
922C22⋊D59—42no—
923C22⋊D59—42no—
924C22⋊D59—42no—
925C22⋊D59—42no—
926C22⋊D59—42no—
927C22⋊D59—42no—
928C22⋊D59—42no—
929C22⋊D59—42no—
930C22⋊D59—42no—
931C22⋊D59—42no—
932C22⋊D59—42no—
933C22⋊D59—42no—
934C22⋊D59—81no—
935C22⋊D59—81no—
936C22⋊D59—81no—
937C22⋊D59—81no—
938C22⋊D59—81no—
939C22⋊D59—81no—
940C22⋊D59—81no—
941C22⋊D59—81no—
942C2×Dic59—22no—
943C2×Dic59—21no—
944C2×Dic59—21no—
945C2×Dic59—21no—
946C2×Dic59—42no—
947C2×Dic59—42no—
948C2×Dic59—81no—
949C2×Dic59—81no—
950C2×Dic59C22×D411yescharacteristic
951C2×Dic59C22×D411yescharacteristic
952C2×Dic59C22×D411yescharacteristic
953C2×Dic59C22×D411yescharacteristic
954C2×Dic59C22×D411yescharacteristic
955D236—22no—
956D236—22no—
957D236—21no—
958D236—21no—
959D236—21no—
960D236—21no—
961D236—21no—
962D236—21no—
963D236—21no—
964D236—21no—
965D236—42no—
966D236—42no—
967D236—42no—
968D236—42no—
969D236—42no—
970D236—42no—
971D236—81no—
972D236—81no—
973D236—81no—
974D236—81no—
975D236C22×D412yes—
976D236C22×D412yes—
977C4×D59—22no—
978C4×D59—21no—
979C4×D59—21no—
980C4×D59—21no—
981C4×D59—21no—
982C4×D59—22no—
983C4×D59—42no—
984C4×D59—42no—
985C4×D59—42no—
986C4×D59—81no—
987C4×D59—81no—
988C4×D59—81no—
989C4×D59—81no—
990C4×D59C22×D412yes—
991C4×D59H(5,𝔽2)12yes—
992Dic118—22no—
993Dic118—21no—
994Dic118—21no—
995C8×C59—21no—
996C8×C59—21no—
997C8×C59—21no—
998C8×C59C22×D412yes—
999C59⋊C8—21no—
1000C59⋊C8—21no—
1001C59⋊C8—21no—
1002C59⋊C8C22×D412yes—
1003#61049—591nomaximal, Sylow
1004C22×C59—21no—
1005C22×C59—21no—
1006C22×C59—22no—
1007C22×C59—21no—
1008C22×C59—22no—
1009C22×C59—21no—
1010C22×C59—21no—
1011C22×C59—41no—
1012C22×C59—41no—
1013C22×C59—41no—
1014C22×C59—41no—
1015C22×C59—41no—
1016C22×C59—41no—
1017C22×C59—41no—
1018C22×C59—41no—
1019C22×C59—41no—
1020C22×C59—41no—
1021C22×C59—41no—
1022C22×C59—41no—
1023C22×C59—41no—
1024C22×C59—84no—
1025C22×C59—84no—
1026C22×C59—162no—
1027C22×C59#57612yescomplemented
1028C22×C59C23×D411yescharacteristic
1029C2×D59—28no—
1030C2×D59—21no—
1031C2×D59—21no—
1032C2×D59—21no—
1033C2×D59—21no—
1034C2×D59—21no—
1035C2×D59—22no—
1036C2×D59—22no—
1037C2×D59—21no—
1038C2×D59—21no—
1039C2×D59—41no—
1040C2×D59—41no—
1041C2×D59—41no—
1042C2×D59—41no—
1043C2×D59—41no—
1044C2×D59—41no—
1045C2×D59—41no—
1046C2×D59—41no—
1047C2×D59—41no—
1048C2×D59—41no—
1049C2×D59—41no—
1050C2×D59—41no—
1051C2×D59—41no—
1052C2×D59—84no—
1053C2×D59—84no—
1054C2×D59—84no—
1055C2×D59—84no—
1056C2×D59—84no—
1057C2×D59—84no—
1058C2×D59—84no—
1059C2×D59—84no—
1060C2×D59—84no—
1061C2×D59—84no—
1062C2×D59—162no—
1063C2×D59—162no—
1064C2×D59—162no—
1065C2×D59D4212yes—
1066C2×D59#57612yescomplemented
1067C4×C59—21no—
1068C4×C59—21no—
1069C4×C59—21no—
1070C4×C59—21no—
1071C4×C59—41no—
1072C4×C59—41no—
1073C4×C59—41no—
1074C4×C59C23×D411yescharacteristic
1075C4×C59C2×H(5,𝔽2)11yescharacteristic
1076Dic59—21no—
1077Dic59—21no—
1078Dic59—21no—
1079Dic59—21no—
1080Dic59—41no—
1081Dic59—41no—
1082Dic59—41no—
1083Dic59D4212yes—
1084C2×#576—591no—
1085C23×D8—591no—
1086#3484—591no—
1087#3484—591no—
1088#3280—591no—
1089#3280—591no—
1090#3280—591no—
1091#3280—591no—
1092D4×D8—591no—
1093D4×D8—591no—
1094D4×D8—591no—
1095D4×D8—591no—
1096#3264—591no—
1097#3264—591no—
1098#3264—591no—
1099#3264—591no—
1100#3264—591no—
1101#3264—591no—
1102#3264—591no—
1103#3264D5911yescharacteristic, complemented
1104#3155—591no—
1105#3058—591no—
1106#3050—591no—
1107#3041—591no—
1108#3041—591no—
1109#3008—591no—
1110#3008—591no—
1111#3003—591no—
1112#3003—591no—
1113#2948—591no—
1114#2929—591no—
1115C2×C59—22no—
1116C2×C59—42no—
1117C2×C59—42no—
1118C2×C59—41no—
1119C2×C59—81no—
1120C2×C59—81no—
1121C2×C59—81no—
1122C2×C59C2×D4211yescharacteristic
1123C2×C59C2×#57611yescharacteristic
1124C2×C59C2×#57611yescharacteristic
1125D59—22no—
1126D59—22no—
1127D59—41no—
1128D59—42no—
1129D59—42no—
1130D59—81no—
1131D59—81no—
1132D59—81no—
1133C2×H(5,𝔽2)—591no—
1134C2×H(5,𝔽2)—591no—
1135C23×D4—591no—
1136C23×D4—591no—
1137#576—1188no—
1138C2×AGL(1,ℤ/8)—591no—
1139C2×AGL(1,ℤ/8)—591no—
1140C2×AGL(1,ℤ/8)—591no—
1141C2×AGL(1,ℤ/8)—591no—
1142C2×AGL(1,ℤ/8)—591no—
1143C2×AGL(1,ℤ/8)—591no—
1144C2×AGL(1,ℤ/8)—591no—
1145C2×AGL(1,ℤ/8)C2×D5911yescharacteristic, complemented
1146C2×#135—591no—
1147C2×#135—591no—
1148C2×#135—591no—
1149C22×D8—591no—
1150C22×D8—591no—
1151C22×D8—591no—
1152C22×D8—591no—
1153C22×D8—591no—
1154C22×D8—591no—
1155C22×D8—591no—
1156C22×D8—591no—
1157C22×D8—591no—
1158C22×D8—591no—
1159C22×D8—591no—
1160C22×D8—591no—
1161C22×D8—591no—
1162C22×D8—1188no—
1163C22×D8C2×D5911yescharacteristic, complemented
1164C2×#131—591no—
1165C23×C8—591no—
1166#546—591no—
1167#546—591no—
1168#546—591no—
1169#546—591no—
1170#546—591no—
1171#546—591no—
1172#546—591no—
1173#546—1181no—
1174#546—1181no—
1175#546—1181no—
1176#546—1181no—
1177#546C2×D5911yescharacteristic, complemented
1178D42—591no—
1179D42—591no—
1180D42—591no—
1181D42—591no—
1182D42—591no—
1183D42—591no—
1184D42—591no—
1185D42—1181no—
1186D42—1181no—
1187D42—1181no—
1188D42—1181no—
1189D42C2×D5911yescharacteristic, complemented
1190#535—591no—
1191#535—591no—
1192#535—591no—
1193#535—591no—
1194#534—1181no—
1195#534—1181no—
1196#534—1181no—
1197#534—1181no—
1198#525—591no—
1199#525—591no—
1200#525—591no—
1201C2×#120—1181no—
1202C2×#120—1181no—
1203C2×#120—1181no—
1204C2×#120—1181no—
1205#518—591no—
1206#518—591no—
1207#496—591no—
1208#496—591no—
1209#496—591no—
1210#496C2×D5911yescharacteristic, complemented
1211#495—591no—
1212#495—591no—
1213#493—591no—
1214#493—591no—
1215#469—591no—
1216#469—591no—
1217#469—591no—
1218#469C2×D5911yescharacteristic, complemented
1219#467—591no—
1220#467—591no—
1221#466—591no—
1222#466—591no—
1223#466—591no—
1224#466—591no—
1225#466—591no—
1226#466—591no—
1227#465—591no—
1228#465—591no—
1229#465—591no—
1230#465C2×D5911yescharacteristic, complemented
1231#463—591no—
1232#463—591no—
1233#463—591no—
1234#463—591no—
1235#463—591no—
1236#463—591no—
1237#463—591no—
1238#463C2×D5911yescharacteristic, complemented
1239#459—591no—
1240#459—591no—
1241#459—591no—
1242#459—591no—
1243#459—591no—
1244#459—591no—
1245#459—591no—
1246#459C2×D5911yescharacteristic, complemented
1247#450—591no—
1248#450—591no—
1249#450—591no—
1250#450—591no—
1251#450—591no—
1252#450—591no—
1253#450—591no—
1254#450C2×D5911yescharacteristic, complemented
1255#449—591no—
1256#449—591no—
1257#449—591no—
1258#449—591no—
1259#449—591no—
1260#449—591no—
1261#449—591no—
1262#449C2×D5911yescharacteristic, complemented
1263#447—591no—
1264#447—591no—
1265#447—591no—
1266#447—591no—
1267#447—591no—
1268#447—591no—
1269#447—591no—
1270#447—591no—
1271#447—591no—
1272#447—591no—
1273#447—591no—
1274#447—591no—
1275#447—591no—
1276#447—591no—
1277#447C2×D5911yescharacteristic, complemented
1278#447C2×D5911yescharacteristic, complemented
1279#442—591no—
1280#442—591no—
1281#442—591no—
1282#442C2×D5911yescharacteristic, complemented
1283C4×D8—591no—
1284C4×D8—591no—
1285C4×D8—591no—
1286C4×D8—591no—
1287#435—591no—
1288#435—591no—
1289#435—591no—
1290#435C2×D5911yescharacteristic, complemented
1291C8×D4—591no—
1292C8×D4—591no—
1293C8×D4—591no—
1294C8×D4—591no—
1295#427—591no—
1296#424—591no—
1297#418—591no—
1298#418—591no—
1299#418—591no—
1300#418—591no—
1301#416—591no—
1302#416—591no—
1303#408—591no—
1304#407—591no—
1305#405—591no—
1306C59#6104911yescharacteristic, complemented, Sylow
1307C25—1181no—
1308C25—1181no—
1309H(5,𝔽2)—1184no—
1310H(5,𝔽2)—1184no—
1311H(5,𝔽2)—2362no—
1312H(5,𝔽2)—2362no—
1313C2×#41—591no—
1314C2×#41—591no—
1315C2×#41—591no—
1316C2×#41—591no—
1317C2×#41—591no—
1318C2×#41—591no—
1319C2×#41—1181no—
1320C2×#41—1181no—
1321C2×#41C22×D5911yescharacteristic, complemented
1322C22×D4—21no—
1323C22×D4—591no—
1324C22×D4—591no—
1325C22×D4—591no—
1326C22×D4—591no—
1327C22×D4—591no—
1328C22×D4—591no—
1329C22×D4—591no—
1330C22×D4—591no—
1331C22×D4—591no—
1332C22×D4—591no—
1333C22×D4—591no—
1334C22×D4—591no—
1335C22×D4—591no—
1336C22×D4—1181no—
1337C22×D4—1181no—
1338C22×D4—1181no—
1339C22×D4—1181no—
1340C22×D4—1181no—
1341C22×D4—1181no—
1342C22×D4—1181no—
1343C22×D4—1181no—
1344C22×D4—1184no—
1345C22×D4—1184no—
1346C22×D4—1181no—
1347C22×D4—1181no—
1348C22×D4—1181no—
1349C22×D4—1181no—
1350C22×D4—1181no—
1351C22×D4—1181no—
1352C22×D4—1181no—
1353C22×D4—1181no—
1354C22×D4—1181no—
1355C22×D4—1181no—
1356C22×D4—1181no—
1357C22×D4—2362no—
1358C22×D4—2362no—
1359C22×D4C22×D5911yescharacteristic
1360C22×D4C22×D5911yescharacteristic
1361C22×D4C22×D5911yescharacteristic, complemented
1362C23×C4—591no—
1363AGL(1,ℤ/8)—24no—
1364AGL(1,ℤ/8)—1184no—
1365AGL(1,ℤ/8)—1184no—
1366AGL(1,ℤ/8)—1184no—
1367AGL(1,ℤ/8)—1184no—
1368AGL(1,ℤ/8)—1184no—
1369AGL(1,ℤ/8)—2362no—
1370AGL(1,ℤ/8)—2362no—
1371#135—1184no—
1372#135—1184no—
1373#135—1184no—
1374C2×Q16—591no—
1375C2×SD16—591no—
1376C2×SD16—591no—
1377C2×SD16—591no—
1378C2×SD16—591no—
1379C2×SD16—591no—
1380C2×SD16—591no—
1381C2×SD16—591no—
1382C2×SD16C22×D5911yescharacteristic, complemented
1383C2×SD16C22×D5911yescharacteristic, complemented
1384C2×SD16C22×D5911yescharacteristic, complemented
1385C2×D8—24no—
1386C2×D8—591no—
1387C2×D8—591no—
1388C2×D8—598no—
1389C2×D8—591no—
1390C2×D8—591no—
1391C2×D8—591no—
1392C2×D8—591no—
1393C2×D8—591no—
1394C2×D8—591no—
1395C2×D8—591no—
1396C2×D8—591no—
1397C2×D8—591no—
1398C2×D8—591no—
1399C2×D8—591no—
1400C2×D8—591no—
1401C2×D8—591no—
1402C2×D8—591no—
1403C2×D8—591no—
1404C2×D8—591no—
1405C2×D8—591no—
1406C2×D8—1184no—
1407C2×D8—1184no—
1408C2×D8—1184no—
1409C2×D8—1184no—
1410C2×D8—1184no—
1411C2×D8—1184no—
1412C2×D8—1184no—
1413C2×D8—1184no—
1414C2×D8—1184no—
1415C2×D8—1184no—
1416C2×D8—1184no—
1417C2×D8—1184no—
1418C2×D8C22×D5911yescharacteristic
1419C2×D8C22×D5911yescharacteristic
1420C2×D8C22×D5911yescharacteristic
1421C2×D8C22×D5911yescharacteristic
1422C2×D8C22×D5911yescharacteristic, complemented
1423C2×D8C22×D5911yescharacteristic, complemented
1424#131—1184no—
1425C2×M16—591no—
1426C2×M16—591no—
1427C2×M16—591no—
1428C2×M16C22×D5911yescharacteristic, complemented
1429C22×C8—591no—
1430C22×C8—591no—
1431C22×C8—591no—
1432C22×C8—591no—
1433C22×C8—591no—
1434C22×C8—591no—
1435C22×C8—591no—
1436C22×C8—1184no—
1437C22×C8C22×D5911yescharacteristic
1438#127—591no—
1439#127—591no—
1440#127—591no—
1441#127—1181no—
1442#127—1181no—
1443#127C22×D5911yescharacteristic, complemented
1444#124—591no—
1445#124—591no—
1446#124—591no—
1447#124—1181no—
1448#124—1181no—
1449#124C22×D5911yescharacteristic, complemented
1450#123—21no—
1451#123—591no—
1452#123—591no—
1453#123—1181no—
1454#123—1181no—
1455#123—1181no—
1456#123—1181no—
1457#123—1181no—
1458#123—1181no—
1459#123—1181no—
1460#123—1181no—
1461#123—1181no—
1462C22⋊Q8—591no—
1463C22⋊Q8—591no—
1464C22⋊Q8—591no—
1465C22⋊Q8—591no—
1466C22⋊Q8—591no—
1467C22⋊Q8C22×D5911yescharacteristic
1468#121—21no—
1469#121—21no—
1470#121—591no—
1471#121—591no—
1472#121—591no—
1473#121—591no—
1474#121—591no—
1475#121—591no—
1476#121—591no—
1477#121—591no—
1478#121—591no—
1479#121—591no—
1480#121—591no—
1481#121—1181no—
1482#121—1181no—
1483#121—1181no—
1484#121—1181no—
1485#121—1181no—
1486#121—1181no—
1487#121—1181no—
1488#121—1181no—
1489#121—1181no—
1490#121—1181no—
1491#121—1181no—
1492#121—1181no—
1493#121—1181no—
1494#121—1181no—
1495#121—1181no—
1496#121—1181no—
1497#121—1181no—
1498#121—1181no—
1499#121C22×D5911yescharacteristic
1500#121C22×D5911yescharacteristic, complemented
1501#121C22×D5911yescharacteristic, complemented
1502#120—21no—
1503#120—21no—
1504#120—21no—
1505#120—591no—
1506#120—591no—
1507#120—1181no—
1508#120—1181no—
1509#120—1181no—
1510#120—1181no—
1511#120—1181no—
1512#120—1181no—
1513#120—1181no—
1514#120—1181no—
1515#120—1181no—
1516#120—1181no—
1517#120—1181no—
1518#120—1181no—
1519#120—1181no—
1520#120—1181no—
1521#120—1181no—
1522#120—1181no—
1523#120—1181no—
1524#120—1181no—
1525#120—1181no—
1526#120—1181no—
1527#120—1181no—
1528#120—1181no—
1529#120—1181no—
1530#120—1181no—
1531#120—1181no—
1532#120—1181no—
1533#120—1181no—
1534#120—1181no—
1535#120—1181no—
1536#120—1181no—
1537#120—1181no—
1538C4×D4—591no—
1539C4×D4—591no—
1540C4×D4—591no—
1541C4×D4—591no—
1542C4×D4—591no—
1543C4×D4—591no—
1544C4×D4—591no—
1545C4×D4—591no—
1546C4×D4—591no—
1547C4×D4—1181no—
1548C4×D4—1181no—
1549C4×D4—1181no—
1550C4×D4—1181no—
1551C4×D4—1181no—
1552C4×D4—1181no—
1553C4×D4—1181no—
1554C4×D4—1181no—
1555C4×D4C22×D5911yescharacteristic
1556C4×D4C22×D5911yescharacteristic, complemented
1557C4×D4C22×D5911yescharacteristic, complemented
1558#117—591no—
1559#117—591no—
1560#117—591no—
1561C2×C22⋊C4—21no—
1562C2×C22⋊C4—1181no—
1563C2×C22⋊C4—1181no—
1564C2×C22⋊C4—1181no—
1565C2×C22⋊C4—1181no—
1566C2×C22⋊C4—1181no—
1567C2×C22⋊C4—1181no—
1568C2×C22⋊C4—1181no—
1569C2×C22⋊C4—1181no—
1570C2×C22⋊C4—1181no—
1571C2×C22⋊C4—1181no—
1572C2×C22⋊C4—1181no—
1573#107—591no—
1574#107—591no—
1575#106—591no—
1576#106C22×D5911yescharacteristic, complemented
1577C4⋊C8—591no—
1578C4⋊C8—591no—
1579C4⋊C8—591no—
1580C4⋊C8C22×D5911yescharacteristic, complemented
1581#103—591no—
1582#103—591no—
1583#103—591no—
1584#103C22×D5911yescharacteristic, complemented
1585#102—591no—
1586#102—591no—
1587#102—591no—
1588#102—591no—
1589#102—591no—
1590#102—591no—
1591#102—591no—
1592#102—591no—
1593#102—591no—
1594#102—591no—
1595#102—591no—
1596#102—591no—
1597#102—591no—
1598#102—591no—
1599#102—591no—
1600#102C22×D5911yescharacteristic, complemented
1601#102C22×D5911yescharacteristic, complemented
1602#102C22×D5911yescharacteristic, complemented
1603#102C22×D5911yescharacteristic, complemented
1604#102C22×D5911yescharacteristic, complemented
1605C22⋊C8—591no—
1606C22⋊C8—591no—
1607C22⋊C8—591no—
1608C22⋊C8—591no—
1609C22⋊C8—591no—
1610C22⋊C8—591no—
1611C22⋊C8C22×D5911yescharacteristic
1612C22⋊C8C22×D5911yescharacteristic, complemented
1613#97—591no—
1614#97C22×D5911yescharacteristic, complemented
1615C4×C8—591no—
1616C4×C8—591no—
1617C24—21no—
1618C24—21no—
1619C24—21no—
1620C24—591no—
1621C24—1181no—
1622C24—1181no—
1623C24—1181no—
1624C24—1181no—
1625C24—1181no—
1626C24—1181no—
1627C24—1181no—
1628C24—1181no—
1629C24—1181no—
1630C24—1181no—
1631C24—1181no—
1632C24—1181no—
1633C24—1181no—
1634C24—4722no—
1635C24—4722no—
1636C24—4722no—
1637C24—4722no—
1638C24—2364no—
1639C24—2364no—
1640#41—22no—
1641#41—41no—
1642#41—1182no—
1643#41—1182no—
1644#41—1182no—
1645#41—1182no—
1646#41—1182no—
1647#41—1182no—
1648#41—1182no—
1649#41—1182no—
1650#41—1182no—
1651#41—2361no—
1652#41—2364no—
1653#41—2361no—
1654#41—2361no—
1655#41—2364no—
1656C2×Q8—591no—
1657C2×Q8—591no—
1658C2×Q8C23×D5911yescharacteristic
1659C2×D4—22no—
1660C2×D4—22no—
1661C2×D4—22no—
1662C2×D4—21no—
1663C2×D4—21no—
1664C2×D4—21no—
1665C2×D4—21no—
1666C2×D4—21no—
1667C2×D4—21no—
1668C2×D4—21no—
1669C2×D4—21no—
1670C2×D4—21no—
1671C2×D4—41no—
1672C2×D4—41no—
1673C2×D4—41no—
1674C2×D4—82no—
1675C2×D4—594no—
1676C2×D4—594no—
1677C2×D4—591no—
1678C2×D4—591no—
1679C2×D4—591no—
1680C2×D4—591no—
1681C2×D4—591no—
1682C2×D4—591no—
1683C2×D4—591no—
1684C2×D4—591no—
1685C2×D4—591no—
1686C2×D4—591no—
1687C2×D4—591no—
1688C2×D4—1182no—
1689C2×D4—1182no—
1690C2×D4—1182no—
1691C2×D4—1181no—
1692C2×D4—1181no—
1693C2×D4—1181no—
1694C2×D4—1181no—
1695C2×D4—1181no—
1696C2×D4—1182no—
1697C2×D4—1182no—
1698C2×D4—1182no—
1699C2×D4—1182no—
1700C2×D4—1182no—
1701C2×D4—1182no—
1702C2×D4—1181no—
1703C2×D4—1181no—
1704C2×D4—1181no—
1705C2×D4—1181no—
1706C2×D4—1181no—
1707C2×D4—1181no—
1708C2×D4—1181no—
1709C2×D4—1181no—
1710C2×D4—1181no—
1711C2×D4—1181no—
1712C2×D4—1181no—
1713C2×D4—1181no—
1714C2×D4—1181no—
1715C2×D4—1181no—
1716C2×D4—1182no—
1717C2×D4—1182no—
1718C2×D4—1182no—
1719C2×D4—1182no—
1720C2×D4—1182no—
1721C2×D4—1182no—
1722C2×D4—1181no—
1723C2×D4—1181no—
1724C2×D4—1181no—
1725C2×D4—1181no—
1726C2×D4—1181no—
1727C2×D4—1181no—
1728C2×D4—1181no—
1729C2×D4—1181no—
1730C2×D4—1181no—
1731C2×D4—1181no—
1732C2×D4—1181no—
1733C2×D4—1181no—
1734C2×D4—1181no—
1735C2×D4—1181no—
1736C2×D4—4722no—
1737C2×D4—4722no—
1738C2×D4—4722no—
1739C2×D4—4722no—
1740C2×D4—4722no—
1741C2×D4—4722no—
1742C2×D4—4722no—
1743C2×D4—2361no—
1744C2×D4—2361no—
1745C2×D4—2361no—
1746C2×D4—2364no—
1747C2×D4—2361no—
1748C2×D4—2361no—
1749C2×D4—2361no—
1750C2×D4—2361no—
1751C2×D4—2361no—
1752C2×D4—2361no—
1753C2×D4—2364no—
1754C2×D4—2364no—
1755C2×D4—2364no—
1756C2×D4—2364no—
1757C2×D4—2364no—
1758C2×D4—2364no—
1759C2×D4—2364no—
1760C2×D4—2364no—
1761C2×D4—2364no—
1762C2×D4—2364no—
1763C2×D4—2364no—
1764C2×D4D4×D5911yescharacteristic
1765C2×D4C23×D5911yescharacteristic
1766C2×D4C23×D5911yescharacteristic
1767C2×D4C23×D5911yescharacteristic
1768C2×D4C23×D5911yescharacteristic
1769C2×D4C23×D5911yescharacteristic
1770C22×C4—21no—
1771C22×C4—21no—
1772C22×C4—21no—
1773C22×C4—591no—
1774C22×C4—591no—
1775C22×C4—591no—
1776C22×C4—591no—
1777C22×C4—591no—
1778C22×C4—591no—
1779C22×C4—1182no—
1780C22×C4—1182no—
1781C22×C4—1181no—
1782C22×C4—1181no—
1783C22×C4—1181no—
1784C22×C4—1181no—
1785C22×C4—1181no—
1786C22×C4—1181no—
1787C22×C4—1181no—
1788C22×C4—1181no—
1789C22×C4—1181no—
1790C22×C4—1181no—
1791C22×C4—1181no—
1792C22×C4C23×D5911yescharacteristic
1793C22×C4C23×D5911yescharacteristic
1794Q16—1182no—
1795SD16—22no—
1796SD16—22no—
1797SD16—41no—
1798SD16—1182no—
1799SD16—1182no—
1800SD16—1182no—
1801SD16—1182no—
1802SD16—2361no—
1803SD16—2361no—
1804SD16—2361no—
1805D8—22no—
1806D8—22no—
1807D8—22no—
1808D8—22no—
1809D8—41no—
1810D8—594no—
1811D8—594no—
1812D8—594no—
1813D8—1182no—
1814D8—1182no—
1815D8—1182no—
1816D8—1182no—
1817D8—1182no—
1818D8—1182no—
1819D8—1182no—
1820D8—1182no—
1821D8—1182no—
1822D8—1182no—
1823D8—1182no—
1824D8—1182no—
1825D8—1182no—
1826D8—2361no—
1827D8—2361no—
1828D8—2361no—
1829D8D4×D5914yescomplemented
1830M16—22no—
1831M16—1182no—
1832M16—1182no—
1833M16—1182no—
1834C2×C8—22no—
1835C2×C8—591no—
1836C2×C8—594no—
1837C2×C8—591no—
1838C2×C8—591no—
1839C2×C8—591no—
1840C2×C8—1182no—
1841C2×C8—1182no—
1842C2×C8—1182no—
1843C2×C8—1182no—
1844C2×C8—1182no—
1845C2×C8—1182no—
1846C2×C8C23×D5911yescharacteristic
1847C2×C8C23×D5911yescharacteristic
1848C2×C8C23×D5911yescharacteristic
1849C2×C8C23×D5911yescharacteristic
1850C4⋊C4—21no—
1851C4⋊C4—591no—
1852C4⋊C4—591no—
1853C4⋊C4—591no—
1854C4⋊C4—591no—
1855C4⋊C4—591no—
1856C4⋊C4—591no—
1857C4⋊C4—591no—
1858C4⋊C4—1181no—
1859C4⋊C4—1181no—
1860C4⋊C4—1181no—
1861C4⋊C4D4×D5911yescharacteristic
1862C4⋊C4C23×D5911yescharacteristic
1863C4⋊C4C23×D5911yescharacteristic
1864C22⋊C4—21no—
1865C22⋊C4—21no—
1866C22⋊C4—21no—
1867C22⋊C4—21no—
1868C22⋊C4—21no—
1869C22⋊C4—21no—
1870C22⋊C4—21no—
1871C22⋊C4—21no—
1872C22⋊C4—591no—
1873C22⋊C4—591no—
1874C22⋊C4—591no—
1875C22⋊C4—591no—
1876C22⋊C4—591no—
1877C22⋊C4—591no—
1878C22⋊C4—591no—
1879C22⋊C4—591no—
1880C22⋊C4—1181no—
1881C22⋊C4—1181no—
1882C22⋊C4—1181no—
1883C22⋊C4—1181no—
1884C22⋊C4—1181no—
1885C22⋊C4—1181no—
1886C22⋊C4—1181no—
1887C22⋊C4—1181no—
1888C22⋊C4—1181no—
1889C22⋊C4—1181no—
1890C22⋊C4—1181no—
1891C22⋊C4—1181no—
1892C22⋊C4—1181no—
1893C22⋊C4—1181no—
1894C22⋊C4—1181no—
1895C22⋊C4—1181no—
1896C22⋊C4—1181no—
1897C22⋊C4—1181no—
1898C22⋊C4—1181no—
1899C22⋊C4—1181no—
1900C22⋊C4—1181no—
1901C22⋊C4—1181no—
1902C22⋊C4—1181no—
1903C22⋊C4—1181no—
1904C22⋊C4—1181no—
1905C22⋊C4—1181no—
1906C22⋊C4D4×D5911yescharacteristic
1907C22⋊C4D4×D5911yescharacteristic
1908C42—591no—
1909C42—1181no—
1910C42—1181no—
1911C42C23×D5911yescharacteristic
1912C23—21no—
1913C23—21no—
1914C23—21no—
1915C23—21no—
1916C23—21no—
1917C23—42no—
1918C23—42no—
1919C23—42no—
1920C23—42no—
1921C23—42no—
1922C23—81no—
1923C23—81no—
1924C23—81no—
1925C23—81no—
1926C23—591no—
1927C23—591no—
1928C23—591no—
1929C23—1182no—
1930C23—1182no—
1931C23—1184no—
1932C23—1184no—
1933C23—1182no—
1934C23—1181no—
1935C23—1181no—
1936C23—1181no—
1937C23—1181no—
1938C23—1181no—
1939C23—4721no—
1940C23—4721no—
1941C23—4721no—
1942C23—4721no—
1943C23—4721no—
1944C23—4721no—
1945C23—4721no—
1946C23—4721no—
1947C23—4721no—
1948C23—4721no—
1949C23—4721no—
1950C23—4721no—
1951C23—4721no—
1952C23—4721no—
1953C23—4721no—
1954C23—4721no—
1955C23—4721no—
1956C23—4721no—
1957C23—4721no—
1958C23—4721no—
1959C23—47216no—
1960C23—47216no—
1961C23—2362no—
1962C23—2362no—
1963C23—2362no—
1964C23—2362no—
1965C23—2362no—
1966C23—2362no—
1967C23—2362no—
1968C23—2362no—
1969C23—2362no—
1970C23—2362no—
1971C23—2362no—
1972C23—2362no—
1973C23—2362no—
1974C23—2362no—
1975C23—2362no—
1976C23—2362no—
1977C23—2362no—
1978C23C2×D4×D5911yescharacteristic
1979C23C2×D4×D5911yescharacteristic
1980Q8—21no—
1981Q8—21no—
1982Q8—1182no—
1983Q8—1181no—
1984Q8—1181no—
1985D4—22no—
1986D4—21no—
1987D4—21no—
1988D4—21no—
1989D4—21no—
1990D4—21no—
1991D4—21no—
1992D4—21no—
1993D4—21no—
1994D4—42no—
1995D4—42no—
1996D4—42no—
1997D4—42no—
1998D4—42no—
1999D4—81no—
2000D4—81no—
2001D4—81no—
2002D4—81no—
2003D4—592no—
2004D4—592no—
2005D4—1182no—
2006D4—1182no—
2007D4—1184no—
2008D4—1184no—
2009D4—1182no—
2010D4—1182no—
2011D4—1182no—
2012D4—1182no—
2013D4—1181no—
2014D4—1181no—
2015D4—1181no—
2016D4—1181no—
2017D4—1181no—
2018D4—1181no—
2019D4—1181no—
2020D4—1181no—
2021D4—4721no—
2022D4—4721no—
2023D4—4721no—
2024D4—4721no—
2025D4—4721no—
2026D4—4721no—
2027D4—4721no—
2028D4—4721no—
2029D4—4721no—
2030D4—4721no—
2031D4—4721no—
2032D4—4721no—
2033D4—2362no—
2034D4—2362no—
2035D4—2362no—
2036D4—2362no—
2037D4—2362no—
2038D4—2362no—
2039D4—2362no—
2040D4—2362no—
2041D4—2362no—
2042D4—2362no—
2043D4—2362no—
2044D4—2362no—
2045D4—2362no—
2046D4—2362no—
2047D4—2362no—
2048D4—2362no—
2049D4—2362no—
2050D4—2362no—
2051D4—2362no—
2052D4C2×D4×D5912yes—
2053D4C2×D4×D5912yes—
2054C2×C4—21no—
2055C2×C4—21no—
2056C2×C4—21no—
2057C2×C4—21no—
2058C2×C4—21no—
2059C2×C4—21no—
2060C2×C4—21no—
2061C2×C4—42no—
2062C2×C4—81no—
2063C2×C4—81no—
2064C2×C4—591no—
2065C2×C4—592no—
2066C2×C4—592no—
2067C2×C4—591no—
2068C2×C4—591no—
2069C2×C4—591no—
2070C2×C4—591no—
2071C2×C4—1182no—
2072C2×C4—1182no—
2073C2×C4—1182no—
2074C2×C4—1181no—
2075C2×C4—1181no—
2076C2×C4—1181no—
2077C2×C4—1181no—
2078C2×C4—1181no—
2079C2×C4—1181no—
2080C2×C4—1181no—
2081C2×C4—4721no—
2082C2×C4—4721no—
2083C2×C4—4721no—
2084C2×C4—4721no—
2085C2×C4—4721no—
2086C2×C4—4721no—
2087C2×C4—2362no—
2088C2×C4—2362no—
2089C2×C4—2362no—
2090C2×C4—2362no—
2091C2×C4—2362no—
2092C2×C4C2×D4×D5911yescharacteristic
2093C2×C4C2×D4×D5911yescharacteristic
2094C2×C4C2×D4×D5911yescharacteristic
2095C2×C4C2×D4×D5911yescharacteristic
2096C2×C4C24×D5911yescharacteristic
2097C8—21no—
2098C8—21no—
2099C8—21no—
2100C8—592no—
2101C8—1181no—
2102C8—1181no—
2103C8—1181no—
2104C8C2×D4×D5912yes—
2105C22—21no—
2106C22—21no—
2107C22—21no—
2108C22—22no—
2109C22—22no—
2110C22—21no—
2111C22—21no—
2112C22—41no—
2113C22—41no—
2114C22—41no—
2115C22—41no—
2116C22—41no—
2117C22—41no—
2118C22—41no—
2119C22—41no—
2120C22—41no—
2121C22—41no—
2122C22—41no—
2123C22—41no—
2124C22—41no—
2125C22—84no—
2126C22—84no—
2127C22—162no—
2128C22—592no—
2129C22—592no—
2130C22—1188no—
2131C22—1181no—
2132C22—1181no—
2133C22—1181no—
2134C22—1181no—
2135C22—1181no—
2136C22—1182no—
2137C22—1182no—
2138C22—1181no—
2139C22—1181no—
2140C22—9442no—
2141C22—9442no—
2142C22—9442no—
2143C22—4724no—
2144C22—4724no—
2145C22—4724no—
2146C22—4724no—
2147C22—4724no—
2148C22—4724no—
2149C22—4724no—
2150C22—4724no—
2151C22—4724no—
2152C22—4724no—
2153C22—2361no—
2154C22—2361no—
2155C22—2361no—
2156C22—2361no—
2157C22—2361no—
2158C22—2361no—
2159C22—2361no—
2160C22—2361no—
2161C22—2361no—
2162C22—2361no—
2163C22—2361no—
2164C22—2361no—
2165C22—2361no—
2166C22#1683820612yescomplemented
2167C22C22×D4×D5911yescharacteristic
2168C4—21no—
2169C4—21no—
2170C4—21no—
2171C4—21no—
2172C4—41no—
2173C4—41no—
2174C4—41no—
2175C4—592no—
2176C4—1181no—
2177C4—1181no—
2178C4—1181no—
2179C4—1181no—
2180C4—2361no—
2181C4—2361no—
2182C4—2361no—
2183C4C22×D4×D5911yescharacteristic
2184C4H(5,𝔽2)×D5911yescharacteristic
2185C2—22no—
2186C2—41no—
2187C2—42no—
2188C2—42no—
2189C2—81no—
2190C2—81no—
2191C2—81no—
2192C2—1182no—
2193C2—1182no—
2194C2—4721no—
2195C2—4721no—
2196C2—4721no—
2197C2—2361no—
2198C2—2362no—
2199C2—2362no—
2200C2D42×D5911yescharacteristic
2201C2#576×D5911yescharacteristic
2202C2C2×#1683820611yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3264C2
socleC22×C59C23×D4
hypercenter#3264D59
hypocenterC59#61049
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3264

Complements

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

NH ≅ G/Ntype
1. C2×#16838206C2semidirect
2. C22×D8×D59C2semidirect
3. #21437726C2semidirect
4. #21437724C2semidirect
5. #21435779C2semidirect
6. #21435777C2semidirect
7. #21435776C2semidirect
8. #21435774C2semidirect
9. D4×#11745669C2semidirect
10. #21435768C2semidirect
11. #21435766C2semidirect
12. #21435766C2semidirect
13. #21435583C2semidirect
14. #21435581C2semidirect
15. #21435578C2semidirect
16. #21435576C2semidirect
17. #21435575C2semidirect
18. #21435573C2semidirect
19. #21435570C2semidirect
20. #21434580C2semidirect
21. #21433742C2semidirect
22. #21433672C2semidirect
23. #21433597C2semidirect
24. #21433594C2semidirect
25. #21433361C2semidirect
26. #21433359C2semidirect
27. #21433324C2semidirect
28. #21433320C2semidirect
29. #21432945C2semidirect
30. #21432787C2semidirect
31. C59×#3264C2semidirect
32. C2×#14273773C22semidirect
33. C2×#14273772C22semidirect
34. C22×D4×D59C22semidirect
35. C22×D4×D59C22semidirect
37. C2×#14273755C22semidirect
38. C2×#14273754C22semidirect
39. C2×#14273754C22semidirect
40. C2×#14273754C22semidirect
41. C2×#14273751C22semidirect
42. C2×#14273751C22semidirect
43. C2×#14273751C22semidirect
44. C2×#14273748C22semidirect
45. C2×#14273748C22semidirect
46. C2×#14273747C22semidirect
47. C22×D472C22semidirect
48. C22×#11745669C22semidirect
49. C22×#11745669C22semidirect
50. C22×#11745669C22semidirect
53. C2×D8×D59C22semidirect
54. C2×D8×D59C22semidirect
55. C2×D8×D59C22semidirect
56. C2×D8×D59C22semidirect
57. C2×D8×D59C22semidirect
58. C2×D8×D59C22semidirect
59. C2×D8×D59C22semidirect
60. C2×D8×D59C22semidirect
61. C2×#14273735C22semidirect
62. C22×C8×D59C22semidirect
63. #16838049C22semidirect
64. #16838048C22semidirect
65. #16838047C22semidirect
66. #16838046C22semidirect
67. #16838045C22semidirect
69. #16838043C22semidirect
72. #16838040C22semidirect
74. D4×D236C22semidirect
75. D4×D236C22semidirect
76. #16838037C22semidirect
78. #16838036C22semidirect
79. #16838036C22semidirect
81. D4×C22⋊D59C22semidirect
82. D4×C22⋊D59C22semidirect
85. #16837970C22semidirect
86. #16837968C22semidirect
87. #16837968C22semidirect
88. #16837965C22semidirect
93. #16837915C22semidirect
94. #16837912C22semidirect
100. #16837874C22semidirect
101. #16837874C22semidirect
102. #16837791C22semidirect
103. #16837790C22semidirect
104. #16837788C22semidirect
105. #16837784C22semidirect
106. #16837783C22semidirect
107. #16837778C22semidirect
108. #16837777C22semidirect
109. #16837656C22semidirect
110. #16837655C22semidirect
111. #16837652C22semidirect
112. #16837642C22semidirect
113. #16837641C22semidirect
114. #16837637C22semidirect
115. #16837637C22semidirect
116. #16837637C22semidirect
117. #16837636C22semidirect
118. #16837636C22semidirect
119. #16837636C22semidirect
120. #16837632C22semidirect
121. #16837631C22semidirect
122. #16837628C22semidirect
123. #16837620C22semidirect
124. #16837619C22semidirect
125. #16837618C22semidirect
126. #16837617C22semidirect
127. #16837616C22semidirect
128. #16837615C22semidirect
129. #16837614C22semidirect
130. #16837598C22semidirect
131. #16837597C22semidirect
132. #16837596C22semidirect
133. #16837596C22semidirect
134. #16837595C22semidirect
135. #16837595C22semidirect
136. #16837594C22semidirect
137. #16837555C22semidirect
138. #16837554C22semidirect
139. #16837554C22semidirect
140. #16837553C22semidirect
141. #16837552C22semidirect
142. #16837551C22semidirect
143. #16837551C22semidirect
144. #16837550C22semidirect
145. #16837549C22semidirect
146. #16837548C22semidirect
147. #16837547C22semidirect
148. #16837546C22semidirect
149. #16837545C22semidirect
150. #16837544C22semidirect
151. #16837538C22semidirect
152. #16837538C22semidirect
153. #16837537C22semidirect
154. #16837537C22semidirect
155. #16837537C22semidirect
156. #16837537C22semidirect
157. #16837536C22semidirect
158. #16837536C22semidirect
159. #16837535C22semidirect
160. #16837535C22semidirect
161. #16837534C22semidirect
162. #16837534C22semidirect
163. #16837534C22semidirect
164. #16837534C22semidirect
165. #16837515C22semidirect
166. #16837514C22semidirect
167. #16837513C22semidirect
168. C4×#11745669C22semidirect
169. C4×#11745669C22semidirect
170. #16837482C22semidirect
171. #16837482C22semidirect
172. #16837475C22semidirect
173. #16837473C22semidirect
174. #16837471C22semidirect
175. D4×C59⋊C8C22semidirect
176. #16837467C22semidirect
177. (C22⋊D59)⋊C8C22semidirect
178. (C22⋊D59)⋊C8C22semidirect
179. #16837437C22semidirect
180. #16837427C22semidirect
181. #16837405C22semidirect
182. #16837405C22semidirect
183. #16837405C22semidirect
184. #16837405C22semidirect
185. #16837397C22semidirect
186. #16837395C22semidirect
187. #16837367C22semidirect
188. #16837364C22semidirect
189. #16837359C22semidirect
190. C2×AGL(1,ℤ/8)×C59C22semidirect
191. C22×D8×C59C22semidirect
192. C59×#546C22semidirect
193. D42×C59C22semidirect
194. C59×#496C22semidirect
195. C59×#469C22semidirect
196. C59×#465C22semidirect
197. C59×#463C22semidirect
198. C59×#459C22semidirect
199. C59×#450C22semidirect
200. C59×#449C22semidirect
201. C59×#447C22semidirect
202. C59×#447C22semidirect
203. C59×#442C22semidirect
204. C59×#435C22semidirect
212. C2×#11745689C23semidirect
215. C2×#11745685C23semidirect
218. C2×#11745687C23semidirect
223. C22×D236C23semidirect
253. C2×D4×D59C23semidirect
254. C2×D4×D59C23semidirect
266. C2×#11745672C23semidirect
267. C2×#11745660C23semidirect
268. C2×#11745660C23semidirect
269. C2×#11745660C23semidirect
270. C2×#11745670C23semidirect
271. C2×#11745670C23semidirect
272. C2×#11745671C23semidirect
273. C2×#11745671C23semidirect
279. C2×D472C23semidirect
280. C2×D472C23semidirect
292. C2×#11745669C23semidirect
293. C2×#11745669C23semidirect
294. C2×#11745669C23semidirect
295. C2×#11745669C23semidirect
296. C2×#11745669C23semidirect
305. D8×D59D4semidirect
309. C2×#11745659C23semidirect
311. C22×C59⋊C8C23semidirect
317. C2×C8×D59C23semidirect
318. #14273724C23semidirect
321. #14273723C23semidirect
322. #14273723C23semidirect
323. #14273716C23semidirect
324. #14273715C23semidirect
325. #14273714C23semidirect
347. #14273702C23semidirect
348. #14273702C23semidirect
352. #14273701C23semidirect
353. #14273701C23semidirect
371. #14273698C23semidirect
372. #14273698C23semidirect
407. C4×D236C23semidirect
408. C4×D236C23semidirect
410. D4×Dic59C23semidirect
411. D4×Dic59C23semidirect
413. #14273689C23semidirect
414. #14273689C23semidirect
437. #14273660C23semidirect
438. #14273660C23semidirect
439. #14273659C23semidirect
440. C4⋊(C59⋊C8)C23semidirect
441. Dic59⋊C8C23semidirect
442. Dic59⋊C8C23semidirect
443. #14273652C23semidirect
444. #14273651C23semidirect
445. #14273650C23semidirect
446. #14273649C23semidirect
447. #14273649C23semidirect
448. #14273649C23semidirect
449. #14273649C23semidirect
450. #14273649C23semidirect
451. #14273648C23semidirect
452. #14273648C23semidirect
453. #14273648C23semidirect
454. #14273648C23semidirect
455. #14273648C23semidirect
456. #14273647C23semidirect
457. #14273647C23semidirect
458. #14273647C23semidirect
459. #14273647C23semidirect
460. #14273647C23semidirect
462. C22⋊(C59⋊C8)C23semidirect
465. (C2×D59)⋊C8C23semidirect
466. (C2×D59)⋊C8C23semidirect
467. #14273637C23semidirect
468. C4×C59⋊C8C23semidirect
469. C8×Dic59C23semidirect
470. C2×#41×C59C23semidirect
474. C22×D4×C59C23semidirect
476. C2×SD16×C59C23semidirect
477. C2×SD16×C59C23semidirect
478. C2×SD16×C59C23semidirect
484. C2×D8×C59C23semidirect
485. C2×D8×C59C23semidirect
486. C2×M16×C59C23semidirect
488. #127×C59C23semidirect
489. #124×C59C23semidirect
495. #121×C59C23semidirect
496. #121×C59C23semidirect
501. C4×D4×C59C23semidirect
502. C4×D4×C59C23semidirect
504. #106×C59C23semidirect
505. C4⋊C8×C59C23semidirect
506. #103×C59C23semidirect
507. #102×C59C23semidirect
508. #102×C59C23semidirect
509. #102×C59C23semidirect
510. #102×C59C23semidirect
511. #102×C59C23semidirect
513. C22⋊C8×C59C23semidirect
514. #97×C59C23semidirect
644. D4×D59C2×D4semidirect
645. D4×D59C2×D4semidirect
700. D8×C59C2×D4semidirect
748. #11745669C2×D4semidirect
749. #11745669C2×D4semidirect
798. D472C2×D4semidirect
809. C8×D59C2×D4semidirect
1027. C22×C59#576semidirect
1066. C2×D59#576semidirect
1103. #3264D59semidirect
1145. C2×AGL(1,ℤ/8)C2×D59semidirect
1163. C22×D8C2×D59semidirect
1177. #546C2×D59semidirect
1189. D42C2×D59semidirect
1210. #496C2×D59semidirect
1218. #469C2×D59semidirect
1230. #465C2×D59semidirect
1238. #463C2×D59semidirect
1246. #459C2×D59semidirect
1254. #450C2×D59semidirect
1262. #449C2×D59semidirect
1277. #447C2×D59semidirect
1278. #447C2×D59semidirect
1282. #442C2×D59semidirect
1290. #435C2×D59semidirect
1306. C59#61049semidirect
1321. C2×#41C22×D59semidirect
1361. C22×D4C22×D59semidirect
1382. C2×SD16C22×D59semidirect
1383. C2×SD16C22×D59semidirect
1384. C2×SD16C22×D59semidirect
1422. C2×D8C22×D59semidirect
1423. C2×D8C22×D59semidirect
1428. C2×M16C22×D59semidirect
1443. #127C22×D59semidirect
1449. #124C22×D59semidirect
1500. #121C22×D59semidirect
1501. #121C22×D59semidirect
1556. C4×D4C22×D59semidirect
1557. C4×D4C22×D59semidirect
1576. #106C22×D59semidirect
1580. C4⋊C8C22×D59semidirect
1584. #103C22×D59semidirect
1600. #102C22×D59semidirect
1601. #102C22×D59semidirect
1602. #102C22×D59semidirect
1603. #102C22×D59semidirect
1604. #102C22×D59semidirect
1612. C22⋊C8C22×D59semidirect
1614. #97C22×D59semidirect
1829. D8D4×D59semidirect
2166. C22#16838206semidirect

Maximal subgroups

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

subgroupindex
C2×#168382062
C22×D8×D592
#214377262
#214377242
#214357792
#214357772
#214357762
#214357742
D4×#117456692
#214357682
#214357662
#214355832
#214355812
#214355782
#214355762
#214355752
#214355732
#214355702
#214345802
#214337422
#214336722
#214335972
#214335942
#214333612
#214333592
#214333242
#214333202
#214329452
#214327872
C59×#32642
#6104959