Finite Group Databasebeta

← #35180504

Subgroups — #35180504

Order 20224.

1952 conjugacy classes of subgroups.

The subgroup lattice has 1806 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777355C211yesmaximal, characteristic, complemented
2#23777004C211yesmaximal, characteristic, complemented
3#23776407C211yesmaximal, characteristic, complemented
4#23776399C211yesmaximal, characteristic, complemented
5#23776055C211yesmaximal, characteristic, complemented
6#23776044C211yesmaximal, characteristic, complemented
7#23775309C211yesmaximal, characteristic, complemented
8#23775298C211yesmaximal, characteristic, complemented
9#23775272C211yesmaximal, characteristic, complemented
10#23775257C211yesmaximal, characteristic, complemented
11#23775246C211yesmaximal, characteristic, complemented
12#23775220C211yesmaximal, characteristic, complemented
13#23775113C211yesmaximal, characteristic, complemented
14#23775107C211yesmaximal, characteristic, complemented
15SD16×C22⋊D79C211yesmaximal, characteristic, complemented
16#23775085C211yesmaximal, characteristic, complemented
17#23775080C211yesmaximal, characteristic, complemented
18D8×C22⋊D79C211yesmaximal, characteristic, complemented
19#23774752C211yesmaximal, characteristic, complemented
20#23774749C211yesmaximal, characteristic, complemented
21#23774723C211yesmaximal, characteristic, complemented
22#23774365C211yesmaximal, characteristic, complemented
23#23774363C211yesmaximal, characteristic, complemented
24#23774332C211yesmaximal, characteristic, complemented
25#23773447C211yesmaximal, characteristic, complemented
26#23773446C211yesmaximal, characteristic, complemented
27#23773415C211yesmaximal, characteristic, complemented
28#23772852C211yesmaximal, characteristic, complemented
29#463×D79C211yesmaximal, characteristic, complemented
30#23772509C211yesmaximal, characteristic, complemented
31C2×#463×C79C211yesmaximal, characteristic, complemented
32C2×#14579182C2211yescharacteristic, complemented
33C2×#14579180C2211yescharacteristic, complemented
34C2×SD16×D79C2211yescharacteristic, complemented
35C2×D8×D79C2211yescharacteristic
36#19099296C2211yescharacteristic, complemented
37#19099295C2211yescharacteristic, complemented
38#19099282C2211yescharacteristic, complemented
39#19099275—21no—
40#19099272C2211yescharacteristic, complemented
41#19099268C2211yescharacteristic
42#19099263C2211yescharacteristic, complemented
43#19099262—21no—
44#19099261C2211yescharacteristic, complemented
45#19099243—21no—
46#19099242—21no—
47#19099239—21no—
48#19099239—21no—
49Q8×C22⋊D79C2211yescharacteristic
50#19099224C2211yescharacteristic, complemented
51#19099221C2211yescharacteristic, complemented
52#19099208C2211yescharacteristic, complemented
53#19099207C2211yescharacteristic, complemented
54#19099207C2211yescharacteristic, complemented
55#19099206C2211yescharacteristic, complemented
56#19099203—21no—
57#19099203—21no—
58D4×C22⋊D79C2211yescharacteristic
59D4×C22⋊D79C2211yescharacteristic
60#19099177—21no—
61#19099151—21no—
62#19099147—21no—
63#19099112C2211yescharacteristic, complemented
64#19099110C2211yescharacteristic, complemented
65#19099097C2211yescharacteristic, complemented
66#19099097C2211yescharacteristic, complemented
67#19099095C2211yescharacteristic, complemented
68#19099093—21no—
69#19099092C2211yescharacteristic, complemented
70#19099092C2211yescharacteristic, complemented
71#124×D79C2211yescharacteristic, complemented
72#19099074—21no—
73#19099072—21no—
74#19099036—21no—
75C4×#11929624C2211yescharacteristic
76C4×#11929623C2211yescharacteristic, complemented
77C2×C4×C22⋊D79—21no—
78C4×D4×D79C2211yescharacteristic, complemented
79#19098946C2211yescharacteristic, complemented
80#19098945C2211yescharacteristic, complemented
81#19098945C2211yescharacteristic, complemented
82#19098944C2211yescharacteristic, complemented
83#19098938C2211yescharacteristic
84#19098934C2211yescharacteristic, complemented
85#19098919C2211yescharacteristic, complemented
86#19098917C2211yescharacteristic, complemented
87#19098917C2211yescharacteristic, complemented
88#19098916C2211yescharacteristic, complemented
89#19098912C2211yescharacteristic, complemented
90#19098908C2211yescharacteristic, complemented
91#19098903C2211yescharacteristic, complemented
92#19098898C2211yescharacteristic, complemented
93#19098897C2211yescharacteristic, complemented
94#19098886C2211yescharacteristic, complemented
95#19098881C2211yescharacteristic, complemented
96#19098880C2211yescharacteristic, complemented
97#19098872C2211yescharacteristic, complemented
98#19098871C2211yescharacteristic, complemented
99#19098871C2211yescharacteristic, complemented
100#19098865C2211yescharacteristic, complemented
101#19098864C2211yescharacteristic, complemented
102#19098864C2211yescharacteristic, complemented
103#19098863C2211yescharacteristic, complemented
104#19098863C2211yescharacteristic, complemented
105#19098856C2211yescharacteristic, complemented
106#19098851C2211yescharacteristic, complemented
107#19098804C2211yescharacteristic, complemented
108#19098803C2211yescharacteristic, complemented
109#19098799C2211yescharacteristic
110#19098798C2211yescharacteristic, complemented
111#19098796C2211yescharacteristic
112#19098796C2211yescharacteristic, complemented
113#19098795C2211yescharacteristic, complemented
114#19098792C2211yescharacteristic, complemented
115#19098792C2211yescharacteristic, complemented
116#19098791C2211yescharacteristic, complemented
117#19098789C2211yescharacteristic, complemented
118#19098789C2211yescharacteristic, complemented
119#19098786C2211yescharacteristic, complemented
120#19098786C2211yescharacteristic, complemented
121#19098783C2211yescharacteristic, complemented
122#19098782C2211yescharacteristic, complemented
123#19098782C2211yescharacteristic, complemented
124#19098781C2211yescharacteristic, complemented
125#19098780C2211yescharacteristic, complemented
126#19098779C2211yescharacteristic, complemented
127#19098779C2211yescharacteristic, complemented
128#19098778C2211yescharacteristic, complemented
129#19098778C2211yescharacteristic, complemented
130#19098777C2211yescharacteristic, complemented
131#19098776C2211yescharacteristic
132#19098776C2211yescharacteristic, complemented
133#19098775C2211yescharacteristic, complemented
134#19098775C2211yescharacteristic, complemented
135#19098772C2211yescharacteristic, complemented
136#19098766C2211yescharacteristic, complemented
137#19098762C2211yescharacteristic, complemented
138#19098761C2211yescharacteristic, complemented
139#19098756C2211yescharacteristic
140#19098756C2211yescharacteristic
141#19098722C2211yescharacteristic, complemented
142#19098720C2211yescharacteristic, complemented
143#19098719C2211yescharacteristic, complemented
144#19098715C2211yescharacteristic, complemented
145#19098714C2211yescharacteristic, complemented
146#19098714C2211yescharacteristic, complemented
147#19098712C2211yescharacteristic, complemented
148#19098711C2211yescharacteristic, complemented
149#19098709C2211yescharacteristic, complemented
150#19098707C2211yescharacteristic, complemented
151#19098705C2211yescharacteristic
152#19098705C2211yescharacteristic, complemented
153#19098702C2211yescharacteristic, complemented
154#19098700C2211yescharacteristic, complemented
155#19098697C2211yescharacteristic
156#19098697C2211yescharacteristic
157#19098695C2211yescharacteristic
158#19098695C2211yescharacteristic
159#19098687C2211yescharacteristic, complemented
160#19098687C2211yescharacteristic, complemented
161#19098655C2211yescharacteristic, complemented
162#19098654C2211yescharacteristic, complemented
163SD16×Dic79C2211yescharacteristic, complemented
164SD16×Dic79C2211yescharacteristic, complemented
165C4×#11929612C2211yescharacteristic, complemented
166C4×#11929612C2211yescharacteristic, complemented
167#19098648C2211yescharacteristic, complemented
168D8×Dic79C2211yescharacteristic
169D8×Dic79C2211yescharacteristic, complemented
170C4×#11929609C2211yescharacteristic, complemented
171C4×#11929609C2211yescharacteristic, complemented
172#19098643C2211yescharacteristic, complemented
173#19098628C2211yescharacteristic, complemented
174#19098628C2211yescharacteristic, complemented
175C8×C22⋊D79C2211yescharacteristic
176C8×C22⋊D79C2211yescharacteristic
177C8×C22⋊D79C2211yescharacteristic, complemented
178C8×C22⋊D79C2211yescharacteristic, complemented
179#19098616C2211yescharacteristic, complemented
180#19098615C2211yescharacteristic, complemented
181#19098615C2211yescharacteristic, complemented
182C4⋊C8×D79C2211yescharacteristic, complemented
183C4⋊C8×D79C2211yescharacteristic, complemented
184#19098558C2211yescharacteristic, complemented
185#19098556C2211yescharacteristic, complemented
186#103×D79C2211yescharacteristic, complemented
187#102×D79C2211yescharacteristic, complemented
188C22×SD16×C79C2211yescharacteristic, complemented
189C22×D8×C79C2211yescharacteristic
190C2×#124×C79C2211yescharacteristic, complemented
191C2×C4×D4×C79C2211yescharacteristic, complemented
192#463×C79C2211yescharacteristic
193#463×C79C2211yescharacteristic
194#463×C79C2211yescharacteristic, complemented
195#463×C79C2211yescharacteristic, complemented
196#463×C79C2211yescharacteristic, complemented
197#463×C79C2211yescharacteristic, complemented
198#463×C79C2211yescharacteristic, complemented
199#463×C79C2211yescharacteristic, complemented
200C2×C4⋊C8×C79C2211yescharacteristic, complemented
201C2×#103×C79C2211yescharacteristic, complemented
202C2×#102×C79C2211yescharacteristic, complemented
203C2×#11929625C2311yescharacteristic
204C2×#11929624—21no—
205C2×#11929624D411yescharacteristic
206C2×#11929623C2311yescharacteristic
207C2×#11929623C2311yescharacteristic
208C2×Q8×D79C2311yescharacteristic
209C22×C22⋊D79—21no—
210C22×C22⋊D79—21no—
211C2×D4×D79C2311yescharacteristic
212C2×D4×D79C2311yescharacteristic
213C22×C4×D79—21no—
214#14579182—42no—
215#14579180—42no—
216C2×Dic316C2311yescharacteristic
217C2×#11929614C2311yescharacteristic
218C2×#11929614C2311yescharacteristic
219C2×#11929613C2311yescharacteristic
220C2×#11929613C2311yescharacteristic
221C2×#11929612C2311yescharacteristic
222C2×#11929612C2311yescharacteristic
223C2×#11929612C2311yescharacteristic
224C2×#11929612C2311yescharacteristic
225C2×#11929611C2311yescharacteristic
226C2×#11929611C2311yescharacteristic
227SD16×D79—42no—
228C2×D632C2311yescharacteristic
229C2×#11929609C2311yescharacteristic
230C2×#11929609C2311yescharacteristic
231C2×#11929609C2311yescharacteristic
232C2×#11929609C2311yescharacteristic
233D8×D79—42no—
234C2×C8×D79C2311yescharacteristic
235C2×C8×D79C2311yescharacteristic
236C2×C8×D79C2311yescharacteristic
237C2×C8×D79C2311yescharacteristic
238#14579160C2311yescharacteristic
239#14579159—21no—
240#14579159C2311yescharacteristic
241#14579157C2311yescharacteristic
242#14579157C2311yescharacteristic
243#14579156—21no—
244#14579155—21no—
245#14579155—21no—
246#14579154—21no—
247#14579154—21no—
248#14579154—21no—
249#14579154—21no—
250#14579154—21no—
251#14579154—21no—
252#14579153C2311yescharacteristic
253#14579153C2311yescharacteristic
254#14579152C2311yescharacteristic
255#14579151—21no—
256#14579150—21no—
257#14579150C2311yescharacteristic
258#14579149C2311yescharacteristic
259#14579149C2311yescharacteristic
260#14579148C2311yescharacteristic
261#14579148C2311yescharacteristic
262#14579147—21no—
263#14579147—21no—
264#14579147—21no—
265#14579147—21no—
266#14579147—21no—
267#14579147—21no—
268#14579146—21no—
269#14579145—21no—
270#14579145—21no—
271#14579144—21no—
272#14579144—21no—
273#14579144—21no—
274#14579144—21no—
275#14579143—21no—
276#14579143—21no—
277#14579143—21no—
278#14579143—21no—
279#14579143—21no—
280#14579143—21no—
281#14579142—21no—
282#14579142—21no—
283#14579141C2311yescharacteristic
284#14579140—21no—
285#14579140—21no—
286#14579140—21no—
287#14579140C2311yescharacteristic
288#14579140C2311yescharacteristic
289#14579139—21no—
290#14579138—21no—
291#14579138—21no—
292#14579138—21no—
293#14579138—21no—
294#14579137—21no—
295#14579137—21no—
296#14579137C2311yescharacteristic
297#14579137C2311yescharacteristic
298#14579136C2311yescharacteristic
299#14579135—21no—
300#14579135—21no—
301#14579135—21no—
302#14579135C2311yescharacteristic
303#14579135C2311yescharacteristic
304#14579134—21no—
305#14579134—21no—
306#14579134—21no—
307#14579134—21no—
308#14579134—21no—
309#14579134—21no—
310#14579133—21no—
311#14579133—21no—
312#14579133—21no—
313#14579133—21no—
314#14579132C2311yescharacteristic
315#14579132C2311yescharacteristic
316#14579132C2311yescharacteristic
317#14579132C2311yescharacteristic
318#14579131—21no—
319#14579131—21no—
320#14579130—21no—
321#14579130—21no—
322#14579130—21no—
323#14579130—21no—
324#14579129—21no—
325#14579129—21no—
326Q8×Dic79C2311yescharacteristic
327Q8×Dic79C2311yescharacteristic
328C4×Dic158D411yescharacteristic
329C4×Dic158C2311yescharacteristic
330C4×Dic158C2311yescharacteristic
331C4×Dic158C2311yescharacteristic
332#14579126C2311yescharacteristic
333C4×D316D411yescharacteristic
334C4×D316C2311yescharacteristic
335C4×D316C2311yescharacteristic
336C4×D316C2311yescharacteristic
337D4×Dic79C2311yescharacteristic
338D4×Dic79C2311yescharacteristic
339D4×Dic79C2311yescharacteristic
340D4×Dic79C2311yescharacteristic
341#14579123C2311yescharacteristic
342C4×C22⋊D79—21no—
343C4×C22⋊D79—21no—
344C4×C22⋊D79—21no—
345C4×C22⋊D79—21no—
346C4×C22⋊D79—21no—
347C4×C22⋊D79—21no—
348C4×C22⋊D79—21no—
349C4×C22⋊D79—21no—
350C4×C22⋊D79—21no—
351C4×C22⋊D79—21no—
352C4×C22⋊D79—21no—
353C4×C22⋊D79—21no—
354C4×C22⋊D79D411yescharacteristic
355C4×C22⋊D79D411yescharacteristic
356C4×C22⋊D79C2311yescharacteristic
357C4×C22⋊D79C2311yescharacteristic
358(C22⋊D79)⋊C4—21no—
359(C22⋊D79)⋊C4—21no—
360(C22⋊D79)⋊C4—21no—
361(C22⋊D79)⋊C4—21no—
362(C22⋊D79)⋊C4—21no—
363(C22⋊D79)⋊C4—21no—
364(C22⋊D79)⋊C4—21no—
365(C22⋊D79)⋊C4—21no—
366#14579120—21no—
367#14579120D411yescharacteristic
368#14579119C2311yescharacteristic
369#14579118—21no—
370#14579118—21no—
371#14579118D411yescharacteristic
372#14579118D411yescharacteristic
373#14579117—21no—
374#14579117—21no—
375#14579117—21no—
376#14579117—21no—
377C2×Dic79⋊C4—21no—
378C4⋊C4×D79C2311yescharacteristic
379C2×C22⋊Dic79—21no—
380C2×C22⋊Dic79—21no—
381C2×(C2×D79)⋊C4—21no—
382C22⋊C4×D79—21no—
383C22⋊C4×D79—21no—
384C22⋊C4×D79—21no—
385C22⋊C4×D79—21no—
386C2×C4×Dic79—21no—
387C42×D79C2311yescharacteristic
388C42×D79C2311yescharacteristic
389#14579095C2311yescharacteristic
390#14579095C2311yescharacteristic
391#14579094C2311yescharacteristic
392#14579094C2311yescharacteristic
393#14579093C2311yescharacteristic
394#14579093C2311yescharacteristic
395#14579092C2311yescharacteristic
396#14579092C2311yescharacteristic
397C4⋊(C79⋊C8)C2311yescharacteristic
398C4⋊(C79⋊C8)C2311yescharacteristic
399Dic79⋊C8C2311yescharacteristic
400Dic79⋊C8C2311yescharacteristic
401Dic79⋊C8C2311yescharacteristic
402Dic79⋊C8C2311yescharacteristic
403#14579086C2311yescharacteristic
404#14579086C2311yescharacteristic
405#14579086C2311yescharacteristic
406#14579086C2311yescharacteristic
407#14579085C2311yescharacteristic
408#14579085C2311yescharacteristic
409#14579085C2311yescharacteristic
410#14579085C2311yescharacteristic
411#14579084C2311yescharacteristic
412#14579084C2311yescharacteristic
413#14579083C2311yescharacteristic
414#14579083C2311yescharacteristic
415#14579083C2311yescharacteristic
416#14579083C2311yescharacteristic
417#14579082C2311yescharacteristic
418#14579082C2311yescharacteristic
419#14579082C2311yescharacteristic
420#14579082C2311yescharacteristic
421#14579082C2311yescharacteristic
422#14579082C2311yescharacteristic
423#14579082C2311yescharacteristic
424#14579082C2311yescharacteristic
425#14579081C2311yescharacteristic
426#14579081C2311yescharacteristic
427C22⋊(C79⋊C8)C2311yescharacteristic
428C22⋊(C79⋊C8)C2311yescharacteristic
429(C2×D79)⋊C8C2311yescharacteristic
430(C2×D79)⋊C8C2311yescharacteristic
431(C2×D79)⋊C8C2311yescharacteristic
432(C2×D79)⋊C8C2311yescharacteristic
433C4×C79⋊C8C2311yescharacteristic
434C4×C79⋊C8C2311yescharacteristic
435C8×Dic79C2311yescharacteristic
436C8×Dic79C2311yescharacteristic
437C8×Dic79C2311yescharacteristic
438C8×Dic79C2311yescharacteristic
439C22×Q8×C79C2311yescharacteristic
440C22×D4×C79C2311yescharacteristic
441C22×D4×C79C2311yescharacteristic
442C23×C4×C79—21no—
443C2×SD16×C79—42no—
444C2×SD16×C79C2311yescharacteristic
445C2×SD16×C79C2311yescharacteristic
446C2×SD16×C79C2311yescharacteristic
447C2×SD16×C79C2311yescharacteristic
448C2×D8×C79—42no—
449C2×D8×C79C2311yescharacteristic
450C2×D8×C79C2311yescharacteristic
451C2×D8×C79C2311yescharacteristic
452C2×D8×C79C2311yescharacteristic
453C22×C8×C79C2311yescharacteristic
454C22×C8×C79C2311yescharacteristic
455#124×C79—21no—
456#124×C79—21no—
457#124×C79C2311yescharacteristic
458#124×C79C2311yescharacteristic
459#124×C79C2311yescharacteristic
460#124×C79C2311yescharacteristic
461C4×D4×C79—21no—
462C4×D4×C79—21no—
463C4×D4×C79C2311yescharacteristic
464C4×D4×C79C2311yescharacteristic
465C4×D4×C79C2311yescharacteristic
466C4×D4×C79C2311yescharacteristic
467C2×C4⋊C4×C79C2311yescharacteristic
468C2×C22⋊C4×C79—21no—
469C2×C22⋊C4×C79—21no—
470C2×C22⋊C4×C79—21no—
471C2×C42×C79C2311yescharacteristic
472C4⋊C8×C79C2311yescharacteristic
473C4⋊C8×C79C2311yescharacteristic
474C4⋊C8×C79C2311yescharacteristic
475C4⋊C8×C79C2311yescharacteristic
476#103×C79C2311yescharacteristic
477#103×C79C2311yescharacteristic
478#103×C79C2311yescharacteristic
479#103×C79C2311yescharacteristic
480#102×C79C2311yescharacteristic
481#102×C79C2311yescharacteristic
482#102×C79C2311yescharacteristic
483#102×C79C2311yescharacteristic
484C23×D79—21no—
485C23×D79—21no—
486#11929625—41no—
487#11929625—41no—
488#11929624—24no—
489#11929624—82no—
490#11929623—22no—
491#11929623—41no—
492#11929623—41no—
493#11929623—41no—
494C2×Dic158—21no—
495C2×Dic158—21no—
496C2×Dic158C2×D411yescharacteristic
497C2×Dic158C2411yescharacteristic
498C2×Dic158C2411yescharacteristic
499Q8×D79—41no—
500Q8×D79—41no—
501C2×D316—21no—
502C2×D316—21no—
503C2×D316C2×D411yescharacteristic
504C2×D316C2411yescharacteristic
505C2×D316C2411yescharacteristic
506C2×C22⋊D79—21no—
507C2×C22⋊D79—21no—
508C2×C22⋊D79—21no—
509C2×C22⋊D79—21no—
510C2×C22⋊D79—21no—
511C2×C22⋊D79—21no—
512C2×C22⋊D79—21no—
513C2×C22⋊D79—21no—
514C2×C22⋊D79—21no—
515C2×C22⋊D79—21no—
516C2×C22⋊D79—21no—
517C2×C22⋊D79—21no—
518C2×C22⋊D79—21no—
519C2×C22⋊D79—21no—
520C2×C22⋊D79—44no—
521C2×C22⋊D79—44no—
522C2×C22⋊D79C2×D411yescharacteristic
523C2×C22⋊D79C2×D411yescharacteristic
524D4×D79—22no—
525D4×D79—41no—
526D4×D79—41no—
527D4×D79—41no—
528C22×Dic79—21no—
529C22×Dic79—21no—
530C22×Dic79—21no—
531C22×Dic79—21no—
532C22×Dic79—21no—
533C22×Dic79—21no—
534C2×C4×D79—21no—
535C2×C4×D79—21no—
536C2×C4×D79—21no—
537C2×C4×D79—21no—
538C2×C4×D79—21no—
539C2×C4×D79—21no—
540C2×C4×D79—82no—
541C2×C4×D79C2×D411yescharacteristic
542C2×C4×D79C2×D411yescharacteristic
543C2×C4×D79C2×D411yescharacteristic
544C2×C4×D79C2×D411yescharacteristic
545C2×C4×D79C2411yescharacteristic
546C2×C4×D79C2411yescharacteristic
547Dic316—41no—
548#11929614—41no—
549#11929614—41no—
550#11929613—41no—
551#11929613—41no—
552#11929612—22no—
553#11929612—41no—
554#11929612—41no—
555#11929612—41no—
556#11929611—41no—
557#11929611—41no—
558D632—41no—
559#11929609—22no—
560#11929609—41no—
561#11929609—41no—
562#11929609—41no—
563C2×C79⋊C8C2411yescharacteristic
564C2×C79⋊C8C2411yescharacteristic
565C2×C79⋊C8C2411yescharacteristic
566C2×C79⋊C8C2411yescharacteristic
567C8×D79—41no—
568C8×D79—41no—
569C8×D79—41no—
570C8×D79—41no—
571C4⋊Dic79—21no—
572C4⋊Dic79—21no—
573C4⋊Dic79—21no—
574C4⋊Dic79—21no—
575C4⋊Dic79C2×D411yescharacteristic
576C4⋊Dic79C2×D411yescharacteristic
577C4⋊Dic79C2411yescharacteristic
578C4⋊Dic79C2411yescharacteristic
579C4⋊Dic79C2411yescharacteristic
580C4⋊Dic79C2411yescharacteristic
581Dic79⋊C4—21no—
582Dic79⋊C4—21no—
583Dic79⋊C4—21no—
584Dic79⋊C4—21no—
585Dic79⋊C4—21no—
586Dic79⋊C4—21no—
587Dic79⋊C4—21no—
588Dic79⋊C4—21no—
589Dic79⋊C4—21no—
590Dic79⋊C4—21no—
591Dic79⋊C4—21no—
592Dic79⋊C4—21no—
593Dic79⋊C4—21no—
594Dic79⋊C4—21no—
595Dic79⋊C4—21no—
596Dic79⋊C4—21no—
597Dic79⋊C4C2×D411yescharacteristic
598Dic79⋊C4C2×D411yescharacteristic
599Dic79⋊C4C2×D411yescharacteristic
600Dic79⋊C4C2×D411yescharacteristic
601C22⋊Dic79—21no—
602C22⋊Dic79—21no—
603C22⋊Dic79—21no—
604C22⋊Dic79—21no—
605C22⋊Dic79—21no—
606C22⋊Dic79—21no—
607C22⋊Dic79—21no—
608C22⋊Dic79—21no—
609C22⋊Dic79—21no—
610C22⋊Dic79—21no—
611C22⋊Dic79—21no—
612C22⋊Dic79—21no—
613C22⋊Dic79—21no—
614C22⋊Dic79—21no—
615C22⋊Dic79C2×D411yescharacteristic
616C22⋊Dic79C2×D411yescharacteristic
617(C2×D79)⋊C4—21no—
618(C2×D79)⋊C4—21no—
619(C2×D79)⋊C4—21no—
620(C2×D79)⋊C4—21no—
621(C2×D79)⋊C4—21no—
622(C2×D79)⋊C4—21no—
623(C2×D79)⋊C4—21no—
624(C2×D79)⋊C4—21no—
625(C2×D79)⋊C4—21no—
626(C2×D79)⋊C4—21no—
627(C2×D79)⋊C4—21no—
628(C2×D79)⋊C4—21no—
629(C2×D79)⋊C4—21no—
630(C2×D79)⋊C4—21no—
631(C2×D79)⋊C4—21no—
632(C2×D79)⋊C4—21no—
633(C2×D79)⋊C4C2×D411yescharacteristic
634(C2×D79)⋊C4C2×D411yescharacteristic
635(C2×D79)⋊C4C2×D411yescharacteristic
636(C2×D79)⋊C4C2×D411yescharacteristic
637C4×Dic79—21no—
638C4×Dic79—21no—
639C4×Dic79—21no—
640C4×Dic79—21no—
641C4×Dic79—21no—
642C4×Dic79—21no—
643C4×Dic79C2×D411yescharacteristic
644C4×Dic79C2×D411yescharacteristic
645C4×Dic79C2×D411yescharacteristic
646C4×Dic79C2×D411yescharacteristic
647C4×Dic79C2411yescharacteristic
648C4×Dic79C2411yescharacteristic
649C24×C79—21no—
650C24×C79—21no—
651C2×Q8×C79—21no—
652C2×Q8×C79—41no—
653C2×Q8×C79—41no—
654C2×Q8×C79C2411yescharacteristic
655C2×Q8×C79C2411yescharacteristic
656C2×D4×C79—22no—
657C2×D4×C79—21no—
658C2×D4×C79—21no—
659C2×D4×C79—41no—
660C2×D4×C79—41no—
661C2×D4×C79—41no—
662C2×D4×C79C2411yescharacteristic
663C2×D4×C79C2411yescharacteristic
664C2×D4×C79C2411yescharacteristic
665C2×D4×C79C2411yescharacteristic
666C22×C4×C79—21no—
667C22×C4×C79—21no—
668C22×C4×C79—21no—
669C22×C4×C79—21no—
670C22×C4×C79—21no—
671C22×C4×C79—21no—
672C22×C4×C79—82no—
673C22×C4×C79C2×D411yescharacteristic
674C22×C4×C79C2×D411yescharacteristic
675C22×C4×C79C2411yescharacteristic
676SD16×C79—22no—
677SD16×C79—22no—
678SD16×C79—41no—
679SD16×C79—41no—
680D8×C79—22no—
681D8×C79—22no—
682D8×C79—41no—
683D8×C79—41no—
684C2×C8×C79—41no—
685C2×C8×C79—41no—
686C2×C8×C79C2411yescharacteristic
687C2×C8×C79C2411yescharacteristic
688C2×C8×C79C2411yescharacteristic
689C2×C8×C79C2411yescharacteristic
690C4⋊C4×C79—21no—
691C4⋊C4×C79C2411yescharacteristic
692C4⋊C4×C79C2411yescharacteristic
693C22⋊C4×C79—21no—
694C22⋊C4×C79—21no—
695C22⋊C4×C79—21no—
696C22⋊C4×C79—21no—
697C22⋊C4×C79—21no—
698C22⋊C4×C79—21no—
699C22⋊C4×C79—21no—
700C22⋊C4×C79—21no—
701C22⋊C4×C79—21no—
702C22⋊C4×C79—21no—
703C22⋊C4×C79—21no—
704C22⋊C4×C79—21no—
705C42×C79C2×D411yescharacteristic
706C42×C79C2×D411yescharacteristic
707C42×C79C2411yescharacteristic
708C42×C79C2411yescharacteristic
709C23×C79—21no—
710C23×C79—21no—
711C23×C79—21no—
712C23×C79—21no—
713C23×C79—42no—
714C23×C79—42no—
715C23×C79—42no—
716C23×C79—81no—
717C23×C79—81no—
718C23×C79—81no—
719C23×C79C22×D411yescharacteristic
720C22×D79—21no—
721C22×D79—21no—
722C22×D79—42no—
723C22×D79—42no—
724C22×D79—42no—
725C22×D79—81no—
726C22×D79—81no—
727C22×D79—81no—
728C22×D79C22×D411yescharacteristic
729C22×D79C22×D411yescharacteristic
730Q8×C79—21no—
731Q8×C79—21no—
732Q8×C79—21no—
733Q8×C79—21no—
734Q8×C79—81no—
735D4×C79—21no—
736D4×C79—21no—
737D4×C79—21no—
738D4×C79—21no—
739D4×C79—21no—
740D4×C79—21no—
741D4×C79—21no—
742D4×C79—42no—
743D4×C79—81no—
744D4×C79H(5,𝔽2)12yes—
745C2×C4×C79—22no—
746C2×C4×C79—21no—
747C2×C4×C79—21no—
748C2×C4×C79—21no—
749C2×C4×C79—21no—
750C2×C4×C79—21no—
751C2×C4×C79—21no—
752C2×C4×C79—41no—
753C2×C4×C79—42no—
754C2×C4×C79—42no—
755C2×C4×C79—81no—
756C2×C4×C79—81no—
757C2×C4×C79—81no—
758C2×C4×C79—81no—
759C2×C4×C79C22×D411yescharacteristic
760C2×C4×C79C22×D411yescharacteristic
761C2×C4×C79C22×D411yescharacteristic
762C2×C4×C79C22×D411yescharacteristic
763C2×C4×C79C22×D411yescharacteristic
764C2×C4×C79C2511yescharacteristic
765C22⋊D79—22no—
766C22⋊D79—42no—
767C22⋊D79—42no—
768C22⋊D79—42no—
769C22⋊D79—42no—
770C22⋊D79—42no—
771C22⋊D79—42no—
772C22⋊D79—42no—
773C22⋊D79—42no—
774C22⋊D79—81no—
775C22⋊D79—81no—
776C22⋊D79—81no—
777C22⋊D79—81no—
778C22⋊D79—81no—
779C22⋊D79—81no—
780C22⋊D79#13514yescomplemented
781C2×Dic79—21no—
782C2×Dic79—21no—
783C2×Dic79—21no—
784C2×Dic79—21no—
785C2×Dic79—21no—
786C2×Dic79—21no—
787C2×Dic79—42no—
788C2×Dic79—42no—
789C2×Dic79—42no—
790C2×Dic79—81no—
791C2×Dic79—81no—
792C2×Dic79—81no—
793C2×Dic79C22×D411yescharacteristic
794C2×Dic79C22×D411yescharacteristic
795C2×Dic79C22×D411yescharacteristic
796C2×Dic79C22×D411yescharacteristic
797C2×Dic79C22×D411yescharacteristic
798C2×Dic79C22×D411yescharacteristic
799D316—22no—
800D316—21no—
801D316—21no—
802D316—21no—
803D316—21no—
804D316—81no—
805D316—81no—
806C4×D79—22no—
807C4×D79—21no—
808C4×D79—21no—
809C4×D79—21no—
810C4×D79—21no—
811C4×D79—22no—
812C4×D79—41no—
813C4×D79—41no—
814C4×D79—42no—
815C4×D79—81no—
816C4×D79—81no—
817C4×D79—81no—
818C4×D79—81no—
819C4×D79—81no—
820Dic158—22no—
821Dic158—21no—
822Dic158—21no—
823Dic158—21no—
824Dic158—21no—
825Dic158—81no—
826Dic158—81no—
827C8×C79—21no—
828C8×C79—21no—
829C8×C79—21no—
830C8×C79—21no—
831C79⋊C8—21no—
832C79⋊C8—21no—
833C79⋊C8—21no—
834C79⋊C8—21no—
835C22×C79—21no—
836C22×C79—21no—
837C22×C79—22no—
838C22×C79—41no—
839C22×C79—41no—
840C22×C79—41no—
841C22×C79—41no—
842C22×C79—41no—
843C22×C79—41no—
844C22×C79—41no—
845C22×C79—41no—
846C22×C79—41no—
847C22×C79—41no—
848C22×C79—41no—
849C22×C79—84no—
850C22×C79—162no—
851C22×C79C2×#13512yes—
852C22×C79C23×D411yescharacteristic
853C2×D79—21no—
854C2×D79—21no—
855C2×D79—21no—
856C2×D79—21no—
857C2×D79—21no—
858C2×D79—41no—
859C2×D79—41no—
860C2×D79—41no—
861C2×D79—41no—
862C2×D79—41no—
863C2×D79—41no—
864C2×D79—84no—
865C2×D79—162no—
866C2×D79C2×#13512yes—
867C4×C79—21no—
868C4×C79—21no—
869C4×C79—21no—
870C4×C79—21no—
871C4×C79—21no—
872C4×C79—41no—
873C4×C79—41no—
874C4×C79—41no—
875C4×C79—41no—
876C4×C79C2×H(5,𝔽2)11yescharacteristic
877C4×C79#58511yescharacteristic
878Dic79—21no—
879Dic79—21no—
880Dic79—21no—
881Dic79—21no—
882Dic79—21no—
883Dic79—41no—
884Dic79—41no—
885Dic79—41no—
886Dic79—41no—
887Dic79—41no—
888Dic79—41no—
889Dic79C2×#13512yes—
890#61955—791nomaximal, Sylow
891C2×C79—22no—
892C2×C79—42no—
893C2×C79—81no—
894C2×C79—81no—
895C2×C79—81no—
896C2×C79#348811yescharacteristic
897C2×C79C22×#13511yescharacteristic
898C2×C79#358511yescharacteristic
899D79—22no—
900D79—41no—
901D79—81no—
902D79—81no—
903#3514—791no—
904#3481—791no—
905#3396—791no—
906#3394—791no—
907#3361—791no—
908#3360—791no—
909#3301—791no—
910#3301—791no—
911#3299—791no—
912#3297—791no—
913#3297—791no—
914#3295—791no—
915#3282—791no—
916#3282—791no—
917D4×SD16—791no—
918#3280—791no—
919#3280—791no—
920D4×D8—791no—
921#3250—791no—
922#3250—791no—
923#3247—791no—
924#3211—791no—
925#3211—791no—
926#3207—791no—
927#3105—791no—
928#3105—791no—
929#3102—791no—
930#3035—791no—
931C2×#463—791no—
932C2×#463D7911yescharacteristic, complemented
933#2988—791no—
934C79#6195511yescharacteristic, complemented, Sylow
935C2×#135—791no—
936C2×#135—791no—
937C22×SD16—791no—
938C22×SD16C2×D7911yescharacteristic, complemented
939C22×D8—791no—
940C22×D8C2×D7911yescharacteristic
941#559—791no—
942#559—791no—
943#556—791no—
944#555—1581no—
945#554—791no—
946#554—791no—
947#553—791no—
948#553—791no—
949#553—1581no—
950#551—1581no—
951#551—1581no—
952#551—1581no—
953#551—1581no—
954D4×Q8—791no—
955#548—791no—
956#548—791no—
957#546—791no—
958#546—791no—
959#546—791no—
960#546—791no—
961#546—1581no—
962#546—1581no—
963D42—791no—
964D42—791no—
965#542—1581no—
966#538—1581no—
967#538—1581no—
968#532—791no—
969#532—791no—
970#529—791no—
971#529—791no—
972#529—791no—
973#529—791no—
974#529—791no—
975#529—1581no—
976C2×#124—791no—
977C2×#124C2×D7911yescharacteristic, complemented
978#525—1581no—
979#525—1581no—
980#518—1581no—
981C4×#41—791no—
982C4×#41—791no—
983C2×C4×D4—791no—
984C2×C4×D4—1581no—
985C2×C4×D4C2×D7911yescharacteristic, complemented
986#495—791no—
987#495—791no—
988#495—791no—
989#495—791no—
990#493—791no—
991#492—791no—
992#488—791no—
993#488—791no—
994#488—791no—
995#488—791no—
996#487—791no—
997#486—791no—
998#485—791no—
999#484—791no—
1000#484—791no—
1001#482—791no—
1002#481—791no—
1003#481—791no—
1004#479—791no—
1005#479—791no—
1006#479—791no—
1007#478—791no—
1008#478—791no—
1009#478—791no—
1010#478—791no—
1011#478—791no—
1012#477—791no—
1013#476—791no—
1014#467—791no—
1015#467—791no—
1016#466—791no—
1017#466—791no—
1018#466—791no—
1019#466—791no—
1020#465—791no—
1021#465—791no—
1022#465—791no—
1023#465—791no—
1024#465—791no—
1025#465—791no—
1026#464—791no—
1027#464—791no—
1028#464—791no—
1029#464—791no—
1030#464—791no—
1031#463—791no—
1032#463—791no—
1033#463—791no—
1034#463—791no—
1035#463—791no—
1036#463—791no—
1037#463—791no—
1038#463—791no—
1039#463—791no—
1040#463—791no—
1041#463—791no—
1042#463C2×D7911yescharacteristic
1043#463C2×D7911yescharacteristic
1044#463C2×D7911yescharacteristic, complemented
1045#463C2×D7911yescharacteristic, complemented
1046#463C2×D7911yescharacteristic, complemented
1047#463C2×D7911yescharacteristic, complemented
1048#463C2×D7911yescharacteristic, complemented
1049#463C2×D7911yescharacteristic, complemented
1050#462—791no—
1051#461—791no—
1052#460—791no—
1053#460—791no—
1054#459—791no—
1055#459—791no—
1056#452—791no—
1057#451—791no—
1058#451—791no—
1059#450—791no—
1060#450—791no—
1061#450—791no—
1062#450—791no—
1063#449—791no—
1064#449—791no—
1065#449—791no—
1066#449—791no—
1067#449—791no—
1068#448—791no—
1069#448—791no—
1070#447—791no—
1071#447—791no—
1072#447—791no—
1073#447—791no—
1074C8×Q8—791no—
1075C8×Q8—791no—
1076C4×Q16—791no—
1077C4×SD16—791no—
1078C4×SD16—791no—
1079C4×SD16—791no—
1080C4×SD16—791no—
1081C4×SD16—791no—
1082C4×SD16—791no—
1083C4×D8—791no—
1084C4×D8—791no—
1085C4×D8—791no—
1086C4×D8—791no—
1087C4×D8—791no—
1088C8×D4—791no—
1089C8×D4—791no—
1090C8×D4—791no—
1091C8×D4—791no—
1092C8×D4—791no—
1093C8×D4—791no—
1094#431—791no—
1095#431—791no—
1096#431—791no—
1097C2×C4⋊C8—791no—
1098C2×C4⋊C8—791no—
1099C2×C4⋊C8C2×D7911yescharacteristic, complemented
1100#416—791no—
1101#416—791no—
1102C2×#103—791no—
1103C2×#103C2×D7911yescharacteristic, complemented
1104C2×#102—791no—
1105C2×#102C2×D7911yescharacteristic, complemented
1106C2×#41—791no—
1107C2×#41—791no—
1108C2×#41—791no—
1109C2×#41—791no—
1110C2×#41—1581no—
1111C22×Q8—791no—
1112C22×Q8C22×D7911yescharacteristic
1113C22×D4—791no—
1114C22×D4—791no—
1115C22×D4—1581no—
1116C22×D4—1581no—
1117C22×D4C22×D7911yescharacteristic
1118C22×D4C22×D7911yescharacteristic
1119C23×C4—21no—
1120C23×C4—1581no—
1121#135—3162no—
1122#135—3162no—
1123C2×Q16—791no—
1124C2×Q16—791no—
1125C2×Q16—791no—
1126C2×SD16—42no—
1127C2×SD16—3162no—
1128C2×SD16—791no—
1129C2×SD16—791no—
1130C2×SD16—791no—
1131C2×SD16—791no—
1132C2×SD16—791no—
1133C2×SD16—791no—
1134C2×SD16—791no—
1135C2×SD16—791no—
1136C2×SD16C22×D7911yescharacteristic
1137C2×SD16C22×D7911yescharacteristic
1138C2×SD16C22×D7911yescharacteristic
1139C2×SD16C22×D7911yescharacteristic
1140C2×D8—42no—
1141C2×D8—3162no—
1142C2×D8—791no—
1143C2×D8—791no—
1144C2×D8—791no—
1145C2×D8—791no—
1146C2×D8—791no—
1147C2×D8C22×D7911yescharacteristic
1148C2×D8C22×D7911yescharacteristic
1149C2×D8C22×D7911yescharacteristic
1150C2×D8C22×D7911yescharacteristic
1151C22×C8—791no—
1152C22×C8—791no—
1153C22×C8—791no—
1154C22×C8—791no—
1155C22×C8C22×D7911yescharacteristic
1156C22×C8C22×D7911yescharacteristic
1157C4⋊Q8—791no—
1158C4⋊Q8—791no—
1159C4⋊Q8—1581no—
1160#127—791no—
1161#127—791no—
1162#126—1581no—
1163#126—1581no—
1164#126—1581no—
1165#126—1581no—
1166#126—1581no—
1167#126—1581no—
1168#126—1581no—
1169#126—1581no—
1170#126—1581no—
1171#125—791no—
1172#125—791no—
1173#125—791no—
1174#125—1581no—
1175#124—21no—
1176#124—21no—
1177#124—791no—
1178#124—791no—
1179#124—791no—
1180#124—791no—
1181#124—791no—
1182#124—1581no—
1183#124—1581no—
1184#124—1581no—
1185#124—1581no—
1186#124—1581no—
1187#124—1581no—
1188#124—1581no—
1189#124C22×D7911yescharacteristic
1190#124C22×D7911yescharacteristic
1191#124C22×D7911yescharacteristic
1192#124C22×D7911yescharacteristic
1193#123—1581no—
1194#123—1581no—
1195#123—1581no—
1196#123—1581no—
1197#123—1581no—
1198#123—1581no—
1199#123—1581no—
1200#123—1581no—
1201#123—1581no—
1202#123—1581no—
1203#123—1581no—
1204#123—1581no—
1205#123—1581no—
1206#123—1581no—
1207#123—1581no—
1208C22⋊Q8—791no—
1209C22⋊Q8—791no—
1210C22⋊Q8—791no—
1211C22⋊Q8—791no—
1212C22⋊Q8—791no—
1213C22⋊Q8—1581no—
1214C22⋊Q8—1581no—
1215C22⋊Q8—1581no—
1216C22⋊Q8—1581no—
1217C22⋊Q8—1581no—
1218C22⋊Q8—1581no—
1219C22⋊Q8—1581no—
1220C22⋊Q8—1581no—
1221C22⋊Q8—1581no—
1222C22⋊Q8—1581no—
1223#121—791no—
1224#121—791no—
1225#121—791no—
1226#121—791no—
1227#121—791no—
1228#121—791no—
1229#121—791no—
1230#121—1581no—
1231#121—1581no—
1232#121—1581no—
1233#121—1581no—
1234#121—1581no—
1235#121—1581no—
1236#121—1581no—
1237#121—1581no—
1238#121—1581no—
1239#121—1581no—
1240#121—1581no—
1241#121—1581no—
1242#121—1581no—
1243#120—1581no—
1244#120—1581no—
1245#120—1581no—
1246#120—1581no—
1247#120—1581no—
1248#120—1581no—
1249#120—1581no—
1250#120—1581no—
1251C4×Q8—791no—
1252C4×Q8—791no—
1253C4×Q8—791no—
1254C4×Q8—791no—
1255C4×Q8—791no—
1256C4×Q8—791no—
1257C4×Q8—791no—
1258C4×D4—21no—
1259C4×D4—21no—
1260C4×D4—791no—
1261C4×D4—791no—
1262C4×D4—791no—
1263C4×D4—791no—
1264C4×D4—791no—
1265C4×D4—791no—
1266C4×D4—791no—
1267C4×D4—791no—
1268C4×D4—791no—
1269C4×D4—791no—
1270C4×D4—791no—
1271C4×D4—791no—
1272C4×D4—791no—
1273C4×D4—1581no—
1274C4×D4—1581no—
1275C4×D4—1581no—
1276C4×D4—1581no—
1277C4×D4—1581no—
1278C4×D4—1581no—
1279C4×D4—1581no—
1280C4×D4—1581no—
1281C4×D4—1581no—
1282C4×D4—1581no—
1283C4×D4—1581no—
1284C4×D4—1581no—
1285C4×D4—1581no—
1286C4×D4—1581no—
1287C4×D4—1581no—
1288C4×D4—1581no—
1289C4×D4—1581no—
1290C4×D4—1581no—
1291C4×D4—1581no—
1292C4×D4—1581no—
1293C4×D4C22×D7911yescharacteristic
1294C4×D4C22×D7911yescharacteristic
1295C4×D4C22×D7911yescharacteristic
1296C4×D4C22×D7911yescharacteristic
1297#117—791no—
1298#117—791no—
1299#117—791no—
1300#117—791no—
1301#117—1581no—
1302#117—1581no—
1303#117—1581no—
1304#117—1581no—
1305#117—1581no—
1306#117—1581no—
1307#117—1581no—
1308C2×C4⋊C4—791no—
1309C2×C4⋊C4—1581no—
1310C2×C4⋊C4C22×D7911yescharacteristic
1311C2×C22⋊C4—21no—
1312C2×C22⋊C4—21no—
1313C2×C22⋊C4—21no—
1314C2×C22⋊C4—1581no—
1315C2×C22⋊C4—1581no—
1316C2×C22⋊C4—1581no—
1317C2×C22⋊C4—1581no—
1318C2×C22⋊C4—1581no—
1319C2×C22⋊C4—1581no—
1320C2×C22⋊C4—1581no—
1321C2×C42—791no—
1322C2×C42—791no—
1323C2×C42—1581no—
1324C2×C42C22×D7911yescharacteristic
1325#107—791no—
1326#107—791no—
1327#107—791no—
1328#107—791no—
1329#106—791no—
1330#106—791no—
1331#106—791no—
1332#106—791no—
1333C4⋊C8—791no—
1334C4⋊C8—791no—
1335C4⋊C8—791no—
1336C4⋊C8—791no—
1337C4⋊C8—791no—
1338C4⋊C8—791no—
1339C4⋊C8C22×D7911yescharacteristic
1340C4⋊C8C22×D7911yescharacteristic
1341C4⋊C8C22×D7911yescharacteristic
1342C4⋊C8C22×D7911yescharacteristic
1343#103—791no—
1344#103—791no—
1345#103—791no—
1346#103—791no—
1347#103—791no—
1348#103—791no—
1349#103—791no—
1350#103—791no—
1351#103—791no—
1352#103—791no—
1353#103C22×D7911yescharacteristic
1354#103C22×D7911yescharacteristic
1355#103C22×D7911yescharacteristic
1356#103C22×D7911yescharacteristic
1357#102—791no—
1358#102—791no—
1359#102—791no—
1360#102—791no—
1361#102—791no—
1362#102—791no—
1363#102—791no—
1364#102—791no—
1365#102—791no—
1366#102—791no—
1367#102—791no—
1368#102—791no—
1369#102—791no—
1370#102—791no—
1371#102C22×D7911yescharacteristic
1372#102C22×D7911yescharacteristic
1373#102C22×D7911yescharacteristic
1374#102C22×D7911yescharacteristic
1375C22⋊C8—791no—
1376C22⋊C8—791no—
1377C22⋊C8—791no—
1378C22⋊C8—791no—
1379C22⋊C8—791no—
1380C22⋊C8—791no—
1381C4×C8—791no—
1382C4×C8—791no—
1383C4×C8—791no—
1384C4×C8—791no—
1385C4×C8—791no—
1386C4×C8—791no—
1387C24—21no—
1388C24—21no—
1389C24—1581no—
1390C24—1581no—
1391#41—3161no—
1392#41—3161no—
1393#41—3161no—
1394#41—3161no—
1395#41—3161no—
1396#41—6322no—
1397#41—1584no—
1398#41—1582no—
1399C2×Q8—21no—
1400C2×Q8—41no—
1401C2×Q8—41no—
1402C2×Q8—3161no—
1403C2×Q8—3161no—
1404C2×Q8—791no—
1405C2×Q8—791no—
1406C2×Q8—791no—
1407C2×Q8—1581no—
1408C2×Q8—1581no—
1409C2×Q8C23×D7911yescharacteristic
1410C2×Q8C23×D7911yescharacteristic
1411C2×D4—22no—
1412C2×D4—21no—
1413C2×D4—21no—
1414C2×D4—41no—
1415C2×D4—41no—
1416C2×D4—41no—
1417C2×D4—3164no—
1418C2×D4—3164no—
1419C2×D4—3161no—
1420C2×D4—3161no—
1421C2×D4—3161no—
1422C2×D4—791no—
1423C2×D4—791no—
1424C2×D4—791no—
1425C2×D4—791no—
1426C2×D4—791no—
1427C2×D4—1581no—
1428C2×D4—1581no—
1429C2×D4—1581no—
1430C2×D4—1581no—
1431C2×D4—1581no—
1432C2×D4—1581no—
1433C2×D4—1581no—
1434C2×D4—1581no—
1435C2×D4—1581no—
1436C2×D4—1581no—
1437C2×D4—1581no—
1438C2×D4—1581no—
1439C2×D4—1581no—
1440C2×D4—1582no—
1441C2×D4—1581no—
1442C2×D4—1581no—
1443C2×D4—1581no—
1444C2×D4C23×D7911yescharacteristic
1445C2×D4C23×D7911yescharacteristic
1446C2×D4C23×D7911yescharacteristic
1447C2×D4C23×D7911yescharacteristic
1448C22×C4—21no—
1449C22×C4—21no—
1450C22×C4—21no—
1451C22×C4—21no—
1452C22×C4—21no—
1453C22×C4—21no—
1454C22×C4—82no—
1455C22×C4—791no—
1456C22×C4—791no—
1457C22×C4—791no—
1458C22×C4—791no—
1459C22×C4—791no—
1460C22×C4—791no—
1461C22×C4—6322no—
1462C22×C4—1581no—
1463C22×C4—1581no—
1464C22×C4—1581no—
1465C22×C4—1581no—
1466C22×C4—1581no—
1467C22×C4—1581no—
1468C22×C4—1581no—
1469C22×C4—1581no—
1470C22×C4—1581no—
1471C22×C4—1581no—
1472C22×C4—1581no—
1473C22×C4—1581no—
1474C22×C4D4×D7911yescharacteristic
1475C22×C4D4×D7911yescharacteristic
1476C22×C4C23×D7911yescharacteristic
1477Q16—3161no—
1478Q16—3161no—
1479Q16—3161no—
1480SD16—22no—
1481SD16—22no—
1482SD16—41no—
1483SD16—41no—
1484SD16—3161no—
1485SD16—3161no—
1486SD16—3161no—
1487SD16—3161no—
1488SD16—3161no—
1489SD16—3161no—
1490SD16—3161no—
1491SD16—1582no—
1492D8—22no—
1493D8—22no—
1494D8—41no—
1495D8—41no—
1496D8—3161no—
1497D8—3161no—
1498D8—3161no—
1499D8—3161no—
1500D8—1582no—
1501C2×C8—41no—
1502C2×C8—41no—
1503C2×C8—3161no—
1504C2×C8—3161no—
1505C2×C8—3161no—
1506C2×C8—3161no—
1507C2×C8—791no—
1508C2×C8—791no—
1509C2×C8—791no—
1510C2×C8—791no—
1511C2×C8C23×D7911yescharacteristic
1512C2×C8C23×D7911yescharacteristic
1513C2×C8C23×D7911yescharacteristic
1514C2×C8C23×D7911yescharacteristic
1515C4⋊C4—21no—
1516C4⋊C4—791no—
1517C4⋊C4—791no—
1518C4⋊C4—791no—
1519C4⋊C4—791no—
1520C4⋊C4—791no—
1521C4⋊C4—791no—
1522C4⋊C4—791no—
1523C4⋊C4—791no—
1524C4⋊C4—791no—
1525C4⋊C4—791no—
1526C4⋊C4—1581no—
1527C4⋊C4—1581no—
1528C4⋊C4—1581no—
1529C4⋊C4—1581no—
1530C4⋊C4—1581no—
1531C4⋊C4—1581no—
1532C4⋊C4—1581no—
1533C4⋊C4—1581no—
1534C4⋊C4—1581no—
1535C4⋊C4—1581no—
1536C4⋊C4—1581no—
1537C4⋊C4—1581no—
1538C4⋊C4—1581no—
1539C4⋊C4—1581no—
1540C4⋊C4—1581no—
1541C4⋊C4—1581no—
1542C4⋊C4—1581no—
1543C4⋊C4—1581no—
1544C4⋊C4—1581no—
1545C4⋊C4—1581no—
1546C4⋊C4C23×D7911yescharacteristic
1547C4⋊C4C23×D7911yescharacteristic
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—21no—
1551C22⋊C4—21no—
1552C22⋊C4—21no—
1553C22⋊C4—21no—
1554C22⋊C4—21no—
1555C22⋊C4—21no—
1556C22⋊C4—21no—
1557C22⋊C4—21no—
1558C22⋊C4—21no—
1559C22⋊C4—21no—
1560C22⋊C4—791no—
1561C22⋊C4—791no—
1562C22⋊C4—791no—
1563C22⋊C4—791no—
1564C22⋊C4—791no—
1565C22⋊C4—791no—
1566C22⋊C4—1581no—
1567C22⋊C4—1581no—
1568C22⋊C4—1581no—
1569C22⋊C4—1581no—
1570C22⋊C4—1581no—
1571C22⋊C4—1581no—
1572C22⋊C4—1581no—
1573C22⋊C4—1581no—
1574C22⋊C4—1581no—
1575C22⋊C4—1581no—
1576C22⋊C4—1581no—
1577C22⋊C4—1581no—
1578C22⋊C4—1581no—
1579C22⋊C4—1581no—
1580C22⋊C4—1581no—
1581C22⋊C4—1581no—
1582C22⋊C4—1581no—
1583C22⋊C4—1581no—
1584C22⋊C4—1581no—
1585C22⋊C4—1581no—
1586C22⋊C4—1581no—
1587C22⋊C4—1581no—
1588C22⋊C4—1581no—
1589C22⋊C4—1581no—
1590C22⋊C4—1581no—
1591C22⋊C4—1581no—
1592C22⋊C4—1581no—
1593C22⋊C4—1581no—
1594C22⋊C4—1581no—
1595C22⋊C4—1581no—
1596C42—791no—
1597C42—791no—
1598C42—791no—
1599C42—791no—
1600C42—791no—
1601C42—791no—
1602C42—1581no—
1603C42—1581no—
1604C42—1581no—
1605C42—1581no—
1606C42—1581no—
1607C42—1581no—
1608C42D4×D7911yescharacteristic
1609C42D4×D7911yescharacteristic
1610C42C23×D7911yescharacteristic
1611C42C23×D7911yescharacteristic
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—21no—
1616C23—42no—
1617C23—42no—
1618C23—42no—
1619C23—81no—
1620C23—81no—
1621C23—81no—
1622C23—3162no—
1623C23—3162no—
1624C23—3162no—
1625C23—791no—
1626C23—791no—
1627C23—6321no—
1628C23—6321no—
1629C23—6321no—
1630C23—1581no—
1631C23—1581no—
1632C23C2×D4×D7911yescharacteristic
1633Q8—21no—
1634Q8—21no—
1635Q8—21no—
1636Q8—21no—
1637Q8—81no—
1638Q8—6321no—
1639Q8—6321no—
1640Q8—1582no—
1641Q8—1581no—
1642Q8—1581no—
1643Q8—1581no—
1644Q8—1581no—
1645D4—21no—
1646D4—21no—
1647D4—21no—
1648D4—21no—
1649D4—21no—
1650D4—21no—
1651D4—21no—
1652D4—42no—
1653D4—81no—
1654D4—3162no—
1655D4—3162no—
1656D4—3162no—
1657D4—3162no—
1658D4—3162no—
1659D4—3162no—
1660D4—3162no—
1661D4—3162no—
1662D4—794no—
1663D4—6321no—
1664D4—6321no—
1665D4—6321no—
1666D4—6321no—
1667D4—6321no—
1668D4—6321no—
1669D4—6321no—
1670D4—6321no—
1671D4—1582no—
1672D4—1582no—
1673D4—1581no—
1674D4—1581no—
1675D4—1581no—
1676D4—1581no—
1677D4#1457920612yes—
1678C2×C4—22no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—41no—
1686C2×C4—42no—
1687C2×C4—42no—
1688C2×C4—81no—
1689C2×C4—81no—
1690C2×C4—81no—
1691C2×C4—81no—
1692C2×C4—3162no—
1693C2×C4—3161no—
1694C2×C4—3161no—
1695C2×C4—3162no—
1696C2×C4—3162no—
1697C2×C4—3162no—
1698C2×C4—791no—
1699C2×C4—791no—
1700C2×C4—791no—
1701C2×C4—791no—
1702C2×C4—791no—
1703C2×C4—791no—
1704C2×C4—6321no—
1705C2×C4—6321no—
1706C2×C4—6321no—
1707C2×C4—6321no—
1708C2×C4—6321no—
1709C2×C4—6321no—
1710C2×C4—6321no—
1711C2×C4—6321no—
1712C2×C4—1582no—
1713C2×C4—1582no—
1714C2×C4—1581no—
1715C2×C4—1581no—
1716C2×C4—1581no—
1717C2×C4—1581no—
1718C2×C4—1581no—
1719C2×C4—1581no—
1720C2×C4—1581no—
1721C2×C4—1581no—
1722C2×C4—1581no—
1723C2×C4—1581no—
1724C2×C4C2×D4×D7911yescharacteristic
1725C2×C4C2×D4×D7911yescharacteristic
1726C2×C4C2×D4×D7911yescharacteristic
1727C2×C4C2×D4×D7911yescharacteristic
1728C2×C4C2×D4×D7911yescharacteristic
1729C2×C4C24×D7911yescharacteristic
1730C8—21no—
1731C8—21no—
1732C8—21no—
1733C8—21no—
1734C8—1581no—
1735C8—1581no—
1736C8—1581no—
1737C8—1581no—
1738C22—21no—
1739C22—21no—
1740C22—22no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—41no—
1751C22—41no—
1752C22—84no—
1753C22—162no—
1754C22—3161no—
1755C22—3161no—
1756C22—3161no—
1757C22—3161no—
1758C22—3161no—
1759C22—3161no—
1760C22—792no—
1761C22—6324no—
1762C22—1581no—
1763C22—1581no—
1764C22—1581no—
1765C22—1581no—
1766C22—1581no—
1767C22—12642no—
1768C22#135×D7912yes—
1769C22C22×D4×D7911yescharacteristic
1770C4—21no—
1771C4—21no—
1772C4—21no—
1773C4—21no—
1774C4—21no—
1775C4—41no—
1776C4—41no—
1777C4—41no—
1778C4—41no—
1779C4—3161no—
1780C4—3161no—
1781C4—3161no—
1782C4—3161no—
1783C4—3161no—
1784C4—3161no—
1785C4—792no—
1786C4—1581no—
1787C4—1581no—
1788C4—1581no—
1789C4—1581no—
1790C4—1581no—
1791C4C2×#1457920611yescharacteristic
1792C4#1909939911yescharacteristic
1793C2—22no—
1794C2—42no—
1795C2—81no—
1796C2—81no—
1797C2—81no—
1798C2—3161no—
1799C2—6321no—
1800C2—6321no—
1801C2—1582no—
1802C2#2377706511yescharacteristic
1803C2C2×#135×D7911yescharacteristic
1804C2#2377817611yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC2×#463×C79C2
socleC22×C79C23×D4
hypercenterC2×#463D79
hypocenterC79#61955
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ C2×C42 ◁ C2×#463

Complements

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

NH ≅ G/Ntype
1. #23777355C2semidirect
2. #23777004C2semidirect
3. #23776407C2semidirect
4. #23776399C2semidirect
5. #23776055C2semidirect
6. #23776044C2semidirect
7. #23775309C2semidirect
8. #23775298C2semidirect
9. #23775272C2semidirect
10. #23775257C2semidirect
11. #23775246C2semidirect
12. #23775220C2semidirect
13. #23775113C2semidirect
14. #23775107C2semidirect
15. SD16×C22⋊D79C2semidirect
16. #23775085C2semidirect
17. #23775080C2semidirect
18. D8×C22⋊D79C2semidirect
19. #23774752C2semidirect
20. #23774749C2semidirect
21. #23774723C2semidirect
22. #23774365C2semidirect
23. #23774363C2semidirect
24. #23774332C2semidirect
25. #23773447C2semidirect
26. #23773446C2semidirect
27. #23773415C2semidirect
28. #23772852C2semidirect
29. #463×D79C2semidirect
30. #23772509C2semidirect
31. C2×#463×C79C2semidirect
32. C2×#14579182C22semidirect
33. C2×#14579180C22semidirect
34. C2×SD16×D79C22semidirect
36. #19099296C22semidirect
37. #19099295C22semidirect
38. #19099282C22semidirect
40. #19099272C22semidirect
42. #19099263C22semidirect
44. #19099261C22semidirect
50. #19099224C22semidirect
51. #19099221C22semidirect
52. #19099208C22semidirect
53. #19099207C22semidirect
54. #19099207C22semidirect
55. #19099206C22semidirect
63. #19099112C22semidirect
64. #19099110C22semidirect
65. #19099097C22semidirect
66. #19099097C22semidirect
67. #19099095C22semidirect
69. #19099092C22semidirect
70. #19099092C22semidirect
71. #124×D79C22semidirect
76. C4×#11929623C22semidirect
78. C4×D4×D79C22semidirect
79. #19098946C22semidirect
80. #19098945C22semidirect
81. #19098945C22semidirect
82. #19098944C22semidirect
84. #19098934C22semidirect
85. #19098919C22semidirect
86. #19098917C22semidirect
87. #19098917C22semidirect
88. #19098916C22semidirect
89. #19098912C22semidirect
90. #19098908C22semidirect
91. #19098903C22semidirect
92. #19098898C22semidirect
93. #19098897C22semidirect
94. #19098886C22semidirect
95. #19098881C22semidirect
96. #19098880C22semidirect
97. #19098872C22semidirect
98. #19098871C22semidirect
99. #19098871C22semidirect
100. #19098865C22semidirect
101. #19098864C22semidirect
102. #19098864C22semidirect
103. #19098863C22semidirect
104. #19098863C22semidirect
105. #19098856C22semidirect
106. #19098851C22semidirect
107. #19098804C22semidirect
108. #19098803C22semidirect
110. #19098798C22semidirect
112. #19098796C22semidirect
113. #19098795C22semidirect
114. #19098792C22semidirect
115. #19098792C22semidirect
116. #19098791C22semidirect
117. #19098789C22semidirect
118. #19098789C22semidirect
119. #19098786C22semidirect
120. #19098786C22semidirect
121. #19098783C22semidirect
122. #19098782C22semidirect
123. #19098782C22semidirect
124. #19098781C22semidirect
125. #19098780C22semidirect
126. #19098779C22semidirect
127. #19098779C22semidirect
128. #19098778C22semidirect
129. #19098778C22semidirect
130. #19098777C22semidirect
132. #19098776C22semidirect
133. #19098775C22semidirect
134. #19098775C22semidirect
135. #19098772C22semidirect
136. #19098766C22semidirect
137. #19098762C22semidirect
138. #19098761C22semidirect
141. #19098722C22semidirect
142. #19098720C22semidirect
143. #19098719C22semidirect
144. #19098715C22semidirect
145. #19098714C22semidirect
146. #19098714C22semidirect
147. #19098712C22semidirect
148. #19098711C22semidirect
149. #19098709C22semidirect
150. #19098707C22semidirect
152. #19098705C22semidirect
153. #19098702C22semidirect
154. #19098700C22semidirect
159. #19098687C22semidirect
160. #19098687C22semidirect
161. #19098655C22semidirect
162. #19098654C22semidirect
163. SD16×Dic79C22semidirect
164. SD16×Dic79C22semidirect
165. C4×#11929612C22semidirect
166. C4×#11929612C22semidirect
167. #19098648C22semidirect
169. D8×Dic79C22semidirect
170. C4×#11929609C22semidirect
171. C4×#11929609C22semidirect
172. #19098643C22semidirect
173. #19098628C22semidirect
174. #19098628C22semidirect
177. C8×C22⋊D79C22semidirect
178. C8×C22⋊D79C22semidirect
179. #19098616C22semidirect
180. #19098615C22semidirect
181. #19098615C22semidirect
182. C4⋊C8×D79C22semidirect
183. C4⋊C8×D79C22semidirect
184. #19098558C22semidirect
185. #19098556C22semidirect
186. #103×D79C22semidirect
187. #102×D79C22semidirect
188. C22×SD16×C79C22semidirect
190. C2×#124×C79C22semidirect
191. C2×C4×D4×C79C22semidirect
194. #463×C79C22semidirect
195. #463×C79C22semidirect
196. #463×C79C22semidirect
197. #463×C79C22semidirect
198. #463×C79C22semidirect
199. #463×C79C22semidirect
200. C2×C4⋊C8×C79C22semidirect
201. C2×#103×C79C22semidirect
202. C2×#102×C79C22semidirect
780. C22⋊D79#135semidirect
932. C2×#463D79semidirect
934. C79#61955semidirect
938. C22×SD16C2×D79semidirect
977. C2×#124C2×D79semidirect
985. C2×C4×D4C2×D79semidirect
1044. #463C2×D79semidirect
1045. #463C2×D79semidirect
1046. #463C2×D79semidirect
1047. #463C2×D79semidirect
1048. #463C2×D79semidirect
1049. #463C2×D79semidirect
1099. C2×C4⋊C8C2×D79semidirect
1103. C2×#103C2×D79semidirect
1105. C2×#102C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237773552
#237770042
#237764072
#237763992
#237760552
#237760442
#237753092
#237752982
#237752722
#237752572
#237752462
#237752202
#237751132
#237751072
SD16×C22⋊D792
#237750852
#237750802
D8×C22⋊D792
#237747522
#237747492
#237747232
#237743652
#237743632
#237743322
#237734472
#237734462
#237734152
#237728522
#463×D792
#237725092
C2×#463×C792
#6195579