Finite Group Databasebeta

← #35165219

Subgroups — #35165219

Order 20224.

2132 conjugacy classes of subgroups.

The subgroup lattice has 1840 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23776960C211yesmaximal, characteristic, complemented
2#41×C22⋊D79C211yesmaximal, characteristic, complemented
3#23775731C211yesmaximal, characteristic, complemented
4#23775720C211yesmaximal, characteristic, complemented
5#23775709C211yesmaximal, characteristic, complemented
6#23775698C211yesmaximal, characteristic, complemented
7#23775687C211yesmaximal, characteristic, complemented
8#23775676C211yesmaximal, characteristic, complemented
9#23775672C211yesmaximal, characteristic, complemented
10#23775661C211yesmaximal, characteristic, complemented
11#23775657C211yesmaximal, characteristic, complemented
12#23775646C211yesmaximal, characteristic, complemented
13#23775635C211yesmaximal, characteristic, complemented
14#23775624C211yesmaximal, characteristic, complemented
15#23775620C211yesmaximal, characteristic, complemented
16#23775609C211yesmaximal, characteristic, complemented
17#23775605C211yesmaximal, characteristic, complemented
18#23775594C211yesmaximal, characteristic, complemented
19#23773720C211yesmaximal, characteristic, complemented
20#23773315C211yesmaximal, characteristic, complemented
21#23773311C211yesmaximal, characteristic, complemented
22#23773184C211yesmaximal, characteristic, complemented
23#23773006C211yesmaximal, characteristic, complemented
24#23773005C211yesmaximal, characteristic, complemented
25#23772851C211yesmaximal, characteristic, complemented
26#23772614C211yesmaximal, characteristic, complemented
27#135×Dic79C211yesmaximal, characteristic, complemented
28C2×#19098638C211yesmaximal, characteristic, complemented
29#23771919C211yesmaximal, characteristic, complemented
30#23771915C211yesmaximal, characteristic, complemented
31C79×#3002C211yesmaximal, characteristic, complemented
32C2×#41×D79C2211yescharacteristic
33C2×#14579181C2211yescharacteristic, complemented
34C22×#11929608C2211yescharacteristic, complemented
35C22×#11929607C2211yescharacteristic, complemented
36#19099284C2211yescharacteristic
37#19099277C2211yescharacteristic
38#19099271C2211yescharacteristic, complemented
39#19099265C2211yescharacteristic, complemented
40#19099260C2211yescharacteristic, complemented
41#19099255C2211yescharacteristic, complemented
42#19099250—21no—
43#19099247C2211yescharacteristic, complemented
44#19099244—21no—
45#19099236—21no—
46#19099232C2211yescharacteristic
47Q8×C22⋊D79C2211yescharacteristic
48#19099224C2211yescharacteristic
49#19099220C2211yescharacteristic
50#19099213C2211yescharacteristic, complemented
51#19099212—21no—
52#19099212C2211yescharacteristic
53#19099207—21no—
54#19099207C2211yescharacteristic
55#19099201—21no—
56#19099201C2211yescharacteristic
57#19099200—21no—
58D4×C22⋊D79—21no—
59D4×C22⋊D79C2211yescharacteristic
60#19099116C2211yescharacteristic, complemented
61#19099109—21no—
62#19099109C2211yescharacteristic
63#19099095—21no—
64#19099093—21no—
65#19099093—21no—
66#19099074—21no—
67#19099074C2211yescharacteristic
68#19099070—21no—
69#19099070C2211yescharacteristic
70#19099070C2211yescharacteristic, complemented
71#41×Dic79C2211yescharacteristic
72#41×Dic79C2211yescharacteristic, complemented
73C4×#11929623—21no—
74C2×C4×C22⋊D79—21no—
75C2×C4×C22⋊D79C2211yescharacteristic
76C2×#14579120C2211yescharacteristic, complemented
77#117×D79C2211yescharacteristic, complemented
78#19098919C2211yescharacteristic, complemented
79#19098919C2211yescharacteristic, complemented
80#19098916C2211yescharacteristic, complemented
81#19098916C2211yescharacteristic, complemented
82#19098912C2211yescharacteristic, complemented
83#19098912C2211yescharacteristic, complemented
84#19098908C2211yescharacteristic, complemented
85#19098908C2211yescharacteristic, complemented
86#19098905C2211yescharacteristic, complemented
87#19098905C2211yescharacteristic, complemented
88#19098903C2211yescharacteristic, complemented
89#19098902C2211yescharacteristic, complemented
90#19098899C2211yescharacteristic, complemented
91#19098897C2211yescharacteristic, complemented
92#19098894C2211yescharacteristic, complemented
93#19098892C2211yescharacteristic, complemented
94#19098888C2211yescharacteristic, complemented
95#19098888C2211yescharacteristic, complemented
96#19098886C2211yescharacteristic, complemented
97#19098885C2211yescharacteristic, complemented
98#19098882C2211yescharacteristic, complemented
99#19098880C2211yescharacteristic, complemented
100#19098877C2211yescharacteristic, complemented
101#19098875C2211yescharacteristic, complemented
102#19098872C2211yescharacteristic, complemented
103#19098868C2211yescharacteristic, complemented
104#19098865C2211yescharacteristic, complemented
105#19098861C2211yescharacteristic, complemented
106#19098856C2211yescharacteristic, complemented
107#19098851C2211yescharacteristic, complemented
108#19098846C2211yescharacteristic, complemented
109#19098841C2211yescharacteristic, complemented
110#19098819C2211yescharacteristic, complemented
111#19098819C2211yescharacteristic, complemented
112#19098818C2211yescharacteristic, complemented
113#19098818C2211yescharacteristic, complemented
114#19098814C2211yescharacteristic, complemented
115#19098814C2211yescharacteristic, complemented
116#19098813C2211yescharacteristic, complemented
117#19098813C2211yescharacteristic, complemented
118#19098811C2211yescharacteristic, complemented
119#19098811C2211yescharacteristic, complemented
120#19098807C2211yescharacteristic, complemented
121#19098807C2211yescharacteristic, complemented
122#19098806C2211yescharacteristic, complemented
123#19098806C2211yescharacteristic, complemented
124#19098806C2211yescharacteristic, complemented
125#19098806C2211yescharacteristic, complemented
126#19098787C2211yescharacteristic, complemented
127#19098783C2211yescharacteristic, complemented
128#19098780C2211yescharacteristic, complemented
129#19098776C2211yescharacteristic, complemented
130#19098771C2211yescharacteristic, complemented
131#19098766C2211yescharacteristic, complemented
132#19098761C2211yescharacteristic, complemented
133#19098756C2211yescharacteristic, complemented
134#19098724C2211yescharacteristic, complemented
135#19098722C2211yescharacteristic, complemented
136#19098717C2211yescharacteristic, complemented
137#19098712C2211yescharacteristic, complemented
138#19098707C2211yescharacteristic, complemented
139#19098705C2211yescharacteristic, complemented
140#19098700C2211yescharacteristic, complemented
141#19098695C2211yescharacteristic, complemented
142Q16×Dic79C2211yescharacteristic, complemented
143Q16×Dic79C2211yescharacteristic, complemented
144SD16×Dic79C2211yescharacteristic, complemented
145SD16×Dic79C2211yescharacteristic, complemented
146SD16×Dic79C2211yescharacteristic, complemented
147SD16×Dic79C2211yescharacteristic, complemented
148D8×Dic79C2211yescharacteristic, complemented
149D8×Dic79C2211yescharacteristic, complemented
150#19098638C2211yescharacteristic
151#19098638C2211yescharacteristic
152#19098638C2211yescharacteristic, complemented
153#19098638C2211yescharacteristic, complemented
154#19098638C2211yescharacteristic, complemented
155#19098638C2211yescharacteristic, complemented
156#19098638C2211yescharacteristic, complemented
157#19098638C2211yescharacteristic, complemented
158#19098601C2211yescharacteristic, complemented
159#19098601C2211yescharacteristic, complemented
160#19098599C2211yescharacteristic, complemented
161C2×Dic79⋊C8C2211yescharacteristic, complemented
162#19098572C2211yescharacteristic, complemented
163#19098572C2211yescharacteristic, complemented
164#19098570C2211yescharacteristic, complemented
165#19098570C2211yescharacteristic, complemented
166#19098568C2211yescharacteristic, complemented
167#19098568C2211yescharacteristic, complemented
168#19098566C2211yescharacteristic, complemented
169#19098566C2211yescharacteristic, complemented
170#19098564C2211yescharacteristic, complemented
171#19098564C2211yescharacteristic, complemented
172#19098564C2211yescharacteristic, complemented
173#19098564C2211yescharacteristic, complemented
174#19098563C2211yescharacteristic, complemented
175#19098563C2211yescharacteristic, complemented
176#19098561C2211yescharacteristic, complemented
177#19098561C2211yescharacteristic, complemented
178#19098560C2211yescharacteristic, complemented
179#19098560C2211yescharacteristic, complemented
180#19098559C2211yescharacteristic
181#19098559C2211yescharacteristic
182#19098559C2211yescharacteristic, complemented
183#19098559C2211yescharacteristic, complemented
184#19098559C2211yescharacteristic, complemented
185#19098557C2211yescharacteristic, complemented
186C2×(C2×D79)⋊C8C2211yescharacteristic, complemented
187C2×C8×Dic79C2211yescharacteristic, complemented
188C22×#41×C79C2211yescharacteristic
189C2×#135×C79C2211yescharacteristic
190C2×#135×C79C2211yescharacteristic, complemented
191#525×C79C2211yescharacteristic, complemented
192#452×C79C2211yescharacteristic, complemented
193#452×C79C2211yescharacteristic, complemented
194#451×C79C2211yescharacteristic, complemented
195#450×C79C2211yescharacteristic, complemented
196#449×C79C2211yescharacteristic, complemented
197#449×C79C2211yescharacteristic, complemented
198#448×C79C2211yescharacteristic, complemented
199#447×C79C2211yescharacteristic, complemented
200#416×C79C2211yescharacteristic
201#416×C79C2211yescharacteristic, complemented
202C2×C22⋊C8×C79C2211yescharacteristic, complemented
203C2×#11929625C2311yescharacteristic
204C2×#11929624—21no—
205C2×#11929624C2311yescharacteristic
206C2×#11929623—21no—
207C2×#11929623—21no—
208C2×#11929623C2311yescharacteristic
209#41×D79—24no—
210#41×D79—42no—
211C2×Q8×D79C2311yescharacteristic
212C22×C22⋊D79—21no—
213C22×C22⋊D79D411yescharacteristic
214C2×D4×D79—21no—
215C2×D4×D79C2311yescharacteristic
216C22×C4×D79—21no—
217C22×C4×D79C2311yescharacteristic
218#14579181—42no—
219C2×#11929614C2311yescharacteristic
220C2×#11929612C2311yescharacteristic
221C2×#11929611C2311yescharacteristic
222C2×#11929609C2311yescharacteristic
223C2×#11929608—42no—
224C2×#11929608C2311yescharacteristic
225C2×#11929608C2311yescharacteristic
226C2×#11929608C2311yescharacteristic
227C2×#11929608C2311yescharacteristic
228C2×#11929607—42no—
229C2×#11929607C2311yescharacteristic
230C2×#11929607C2311yescharacteristic
231C2×#11929607C2311yescharacteristic
232C2×#11929607C2311yescharacteristic
233C22×C79⋊C8C2311yescharacteristic
234C22×C79⋊C8C2311yescharacteristic
235#14579160C2311yescharacteristic
236#14579160C2311yescharacteristic
237#14579159—21no—
238#14579159C2311yescharacteristic
239#14579157—21no—
240#14579157C2311yescharacteristic
241#14579156—21no—
242#14579156—21no—
243#14579154—21no—
244#14579154—21no—
245#14579154—21no—
246#14579154—21no—
247#14579152—21no—
248#14579152C2311yescharacteristic
249#14579152C2311yescharacteristic
250#14579151—21no—
251#14579151—21no—
252#14579150—21no—
253#14579150C2311yescharacteristic
254#14579148—21no—
255#14579148—21no—
256#14579148C2311yescharacteristic
257#14579147—21no—
258#14579147—21no—
259#14579145—21no—
260#14579145—21no—
261#14579144—21no—
262#14579144—21no—
263#14579144—21no—
264#14579143—21no—
265#14579143—21no—
266#14579142—21no—
267#14579142—21no—
268#14579142—21no—
269#14579142—21no—
270#14579142—21no—
271#14579142—21no—
272#14579141—21no—
273#14579140—21no—
274#14579140—21no—
275#14579140C2311yescharacteristic
276#14579140C2311yescharacteristic
277#14579138—21no—
278#14579138—21no—
279#14579138—21no—
280#14579138—21no—
281#14579137—21no—
282#14579137—21no—
283#14579137C2311yescharacteristic
284#14579137C2311yescharacteristic
285#14579137C2311yescharacteristic
286#14579137C2311yescharacteristic
287#14579135—21no—
288#14579135—21no—
289#14579135C2311yescharacteristic
290#14579135C2311yescharacteristic
291#14579133—21no—
292#14579133—21no—
293#14579133—21no—
294#14579133—21no—
295#14579133—21no—
296#14579133—21no—
297#14579133—21no—
298#14579133—21no—
299#14579132—21no—
300#14579132—21no—
301#14579132—21no—
302#14579132C2311yescharacteristic
303#14579132C2311yescharacteristic
304#14579132C2311yescharacteristic
305#14579132C2311yescharacteristic
306#14579130—21no—
307#14579130—21no—
308#14579130—21no—
309#14579129—21no—
310#14579129—21no—
311#14579129—21no—
312#14579129—21no—
313Q8×Dic79C2311yescharacteristic
314Q8×Dic79C2311yescharacteristic
315Q8×Dic79C2311yescharacteristic
316Q8×Dic79C2311yescharacteristic
317C4×Dic158—21no—
318C4×Dic158—21no—
319#14579126—21no—
320D4×Dic79—21no—
321D4×Dic79—21no—
322D4×Dic79—21no—
323D4×Dic79—21no—
324D4×Dic79—21no—
325D4×Dic79C2311yescharacteristic
326D4×Dic79C2311yescharacteristic
327D4×Dic79C2311yescharacteristic
328D4×Dic79C2311yescharacteristic
329C4×C22⋊D79—21no—
330C4×C22⋊D79—21no—
331C4×C22⋊D79—21no—
332C4×C22⋊D79—21no—
333C4×C22⋊D79—21no—
334C4×C22⋊D79—21no—
335C4×C22⋊D79—21no—
336C4×C22⋊D79—21no—
337C4×C22⋊D79—21no—
338C4×C22⋊D79—21no—
339C4×C22⋊D79—21no—
340C4×C22⋊D79—21no—
341C4×C22⋊D79D411yescharacteristic
342C4×C22⋊D79D411yescharacteristic
343C4×C22⋊D79D411yescharacteristic
344C4×C22⋊D79D411yescharacteristic
345C4×C22⋊D79C2311yescharacteristic
346C4×C22⋊D79C2311yescharacteristic
347C4×C22⋊D79C2311yescharacteristic
348C4×C22⋊D79C2311yescharacteristic
349(C22⋊D79)⋊C4—21no—
350(C22⋊D79)⋊C4—21no—
351#14579120—21no—
352#14579120—21no—
353#14579120—21no—
354#14579120—21no—
355#14579120C2311yescharacteristic
356#14579120C2311yescharacteristic
357#14579120C2311yescharacteristic
358#14579120C2311yescharacteristic
359#14579120C2311yescharacteristic
360#14579119—21no—
361#14579119C2311yescharacteristic
362#14579119C2311yescharacteristic
363#14579118—21no—
364#14579117—21no—
365#14579117—21no—
366#14579117—21no—
367C2×C4⋊Dic79C2311yescharacteristic
368C2×C4⋊Dic79C2311yescharacteristic
369C2×Dic79⋊C4—21no—
370C2×Dic79⋊C4D411yescharacteristic
371C4⋊C4×D79C2311yescharacteristic
372C4⋊C4×D79C2311yescharacteristic
373C2×C22⋊Dic79—21no—
374C2×C22⋊Dic79—21no—
375C2×C22⋊Dic79D411yescharacteristic
376C2×(C2×D79)⋊C4—21no—
377C2×(C2×D79)⋊C4D411yescharacteristic
378C22⋊C4×D79—21no—
379C2×C4×Dic79—21no—
380C2×C4×Dic79—21no—
381C2×C4×Dic79—21no—
382C2×C4×Dic79C2311yescharacteristic
383C42×D79—21no—
384#14579095C2311yescharacteristic
385#14579095C2311yescharacteristic
386#14579095C2311yescharacteristic
387#14579095C2311yescharacteristic
388#14579094C2311yescharacteristic
389#14579094C2311yescharacteristic
390#14579093C2311yescharacteristic
391#14579093C2311yescharacteristic
392#14579093C2311yescharacteristic
393#14579093C2311yescharacteristic
394#14579092C2311yescharacteristic
395#14579092C2311yescharacteristic
396Dic79⋊C8C2311yescharacteristic
397Dic79⋊C8C2311yescharacteristic
398Dic79⋊C8C2311yescharacteristic
399Dic79⋊C8C2311yescharacteristic
400#14579086C2311yescharacteristic
401#14579086C2311yescharacteristic
402#14579086C2311yescharacteristic
403#14579086C2311yescharacteristic
404#14579085C2311yescharacteristic
405#14579085C2311yescharacteristic
406#14579085C2311yescharacteristic
407#14579085C2311yescharacteristic
408#14579085C2311yescharacteristic
409#14579085C2311yescharacteristic
410#14579085C2311yescharacteristic
411#14579085C2311yescharacteristic
412#14579085C2311yescharacteristic
413#14579085C2311yescharacteristic
414#14579084C2311yescharacteristic
415#14579084C2311yescharacteristic
416#14579083C2311yescharacteristic
417#14579083C2311yescharacteristic
418#14579083C2311yescharacteristic
419#14579083C2311yescharacteristic
420#14579082C2311yescharacteristic
421#14579082C2311yescharacteristic
422#14579082C2311yescharacteristic
423#14579082C2311yescharacteristic
424#14579082C2311yescharacteristic
425#14579082C2311yescharacteristic
426#14579082C2311yescharacteristic
427#14579082C2311yescharacteristic
428#14579082C2311yescharacteristic
429#14579082C2311yescharacteristic
430#14579081C2311yescharacteristic
431#14579081C2311yescharacteristic
432(C2×D79)⋊C8C2311yescharacteristic
433(C2×D79)⋊C8C2311yescharacteristic
434(C2×D79)⋊C8C2311yescharacteristic
435(C2×D79)⋊C8C2311yescharacteristic
436C8×Dic79C2311yescharacteristic
437C8×Dic79C2311yescharacteristic
438C8×Dic79C2311yescharacteristic
439C8×Dic79C2311yescharacteristic
440C2×#41×C79—21no—
441C2×#41×C79—21no—
442C2×#41×C79—24no—
443C2×#41×C79—42no—
444C2×#41×C79C2311yescharacteristic
445C2×#41×C79C2311yescharacteristic
446C2×#41×C79C2311yescharacteristic
447C2×#41×C79C2311yescharacteristic
448C2×#41×C79C2311yescharacteristic
449C22×Q8×C79C2311yescharacteristic
450C22×D4×C79—21no—
451C22×D4×C79C2311yescharacteristic
452C23×C4×C79—21no—
453C23×C4×C79C2311yescharacteristic
454#135×C79—24no—
455#135×C79—42no—
456C2×Q16×C79C2311yescharacteristic
457C2×Q16×C79C2311yescharacteristic
458C2×SD16×C79C2311yescharacteristic
459C2×SD16×C79C2311yescharacteristic
460C2×SD16×C79C2311yescharacteristic
461C2×SD16×C79C2311yescharacteristic
462C2×D8×C79C2311yescharacteristic
463C2×D8×C79C2311yescharacteristic
464C22×C8×C79C2311yescharacteristic
465C22×C8×C79C2311yescharacteristic
466#123×C79—21no—
467C22⋊Q8×C79C2311yescharacteristic
468C22⋊Q8×C79C2311yescharacteristic
469#121×C79C2311yescharacteristic
470#121×C79C2311yescharacteristic
471#120×C79—21no—
472C4×D4×C79—21no—
473C4×D4×C79—21no—
474#117×C79C2311yescharacteristic
475#103×C79C2311yescharacteristic
476#103×C79C2311yescharacteristic
477#103×C79C2311yescharacteristic
478#103×C79C2311yescharacteristic
479#102×C79C2311yescharacteristic
480#102×C79C2311yescharacteristic
481#102×C79C2311yescharacteristic
482#102×C79C2311yescharacteristic
483C22⋊C8×C79C2311yescharacteristic
484C22⋊C8×C79C2311yescharacteristic
485C22⋊C8×C79C2311yescharacteristic
486C22⋊C8×C79C2311yescharacteristic
487C23×D79—21no—
488C23×D79C2×D411yescharacteristic
489#11929625—22no—
490#11929625—41no—
491#11929624—22no—
492#11929624—22no—
493#11929624—44no—
494#11929623—22no—
495#11929623—44no—
496#11929623—41no—
497#11929623—44no—
498C2×Dic158—21no—
499C2×Dic158—21no—
500C2×Dic158—21no—
501C2×Dic158C2411yescharacteristic
502Q8×D79—22no—
503Q8×D79—41no—
504C2×D316—21no—
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—42no—
518C2×C22⋊D79—44no—
519C2×C22⋊D79C2×D411yescharacteristic
520C2×C22⋊D79C2×D411yescharacteristic
521C2×C22⋊D79C2×D411yescharacteristic
522C2×C22⋊D79C2×D411yescharacteristic
523D4×D79—22no—
524D4×D79—44no—
525D4×D79—41no—
526C22×Dic79—21no—
527C22×Dic79—21no—
528C22×Dic79—21no—
529C22×Dic79—21no—
530C22×Dic79—21no—
531C22×Dic79—21no—
532C22×Dic79—21no—
533C22×Dic79C2×D411yescharacteristic
534C22×Dic79C2×D411yescharacteristic
535C22×Dic79C2×D411yescharacteristic
536C2×C4×D79—21no—
537C2×C4×D79—21no—
538C2×C4×D79—21no—
539C2×C4×D79—21no—
540C2×C4×D79—21no—
541C2×C4×D79—22no—
542C2×C4×D79—22no—
543C2×C4×D79—44no—
544C2×C4×D79C2×D411yescharacteristic
545C2×C4×D79C2×D411yescharacteristic
546C2×C4×D79C2411yescharacteristic
547C2×C4×D79C2411yescharacteristic
548#11929614—41no—
549#11929612—41no—
550#11929611—41no—
551#11929609—41no—
552#11929608—41no—
553#11929608—41no—
554#11929608—41no—
555#11929608—41no—
556#11929607—41no—
557#11929607—41no—
558#11929607—41no—
559#11929607—41no—
560C2×C79⋊C8—22no—
561C2×C79⋊C8—22no—
562C2×C79⋊C8C2411yescharacteristic
563C2×C79⋊C8C2411yescharacteristic
564C2×C79⋊C8C2411yescharacteristic
565C2×C79⋊C8C2411yescharacteristic
566C4⋊Dic79—21no—
567C4⋊Dic79—21no—
568C4⋊Dic79—21no—
569C4⋊Dic79—21no—
570C4⋊Dic79—21no—
571C4⋊Dic79—21no—
572C4⋊Dic79—21no—
573C4⋊Dic79—21no—
574C4⋊Dic79C2411yescharacteristic
575C4⋊Dic79C2411yescharacteristic
576C4⋊Dic79C2411yescharacteristic
577C4⋊Dic79C2411yescharacteristic
578C4⋊Dic79C2411yescharacteristic
579C4⋊Dic79C2411yescharacteristic
580Dic79⋊C4—21no—
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⋊C4C2×D411yescharacteristic
595Dic79⋊C4C2×D411yescharacteristic
596Dic79⋊C4C2×D411yescharacteristic
597Dic79⋊C4C2×D411yescharacteristic
598C22⋊Dic79—21no—
599C22⋊Dic79—21no—
600C22⋊Dic79—21no—
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
617C22⋊Dic79C2×D411yescharacteristic
618C22⋊Dic79C2×D411yescharacteristic
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)⋊C4C2×D411yescharacteristic
630(C2×D79)⋊C4C2×D411yescharacteristic
631(C2×D79)⋊C4C2×D411yescharacteristic
632(C2×D79)⋊C4C2×D411yescharacteristic
633C4×Dic79—21no—
634C4×Dic79—21no—
635C4×Dic79—21no—
636C4×Dic79—21no—
637C4×Dic79—21no—
638C4×Dic79—21no—
639C4×Dic79—21no—
640C4×Dic79—21no—
641C4×Dic79—21no—
642C4×Dic79—21no—
643C4×Dic79—21no—
644C4×Dic79C2×D411yescharacteristic
645C4×Dic79C2×D411yescharacteristic
646C4×Dic79C2411yescharacteristic
647C4×Dic79C2411yescharacteristic
648C24×C79—21no—
649C24×C79C2×D411yescharacteristic
650#41×C79—22no—
651#41×C79—22no—
652#41×C79—22no—
653#41×C79—22no—
654#41×C79—22no—
655#41×C79—22no—
656#41×C79—22no—
657#41×C79—44no—
658#41×C79—41no—
659#41×C79—41no—
660#41×C79—44no—
661#41×C79#4114yescomplemented
662C2×Q8×C79—21no—
663C2×Q8×C79—22no—
664C2×Q8×C79—41no—
665C2×Q8×C79C2411yescharacteristic
666C2×Q8×C79C2411yescharacteristic
667C2×Q8×C79C2411yescharacteristic
668C2×D4×C79—21no—
669C2×D4×C79—22no—
670C2×D4×C79—21no—
671C2×D4×C79—21no—
672C2×D4×C79—21no—
673C2×D4×C79—21no—
674C2×D4×C79—21no—
675C2×D4×C79—21no—
676C2×D4×C79—21no—
677C2×D4×C79—41no—
678C2×D4×C79—44no—
679C2×D4×C79C2411yescharacteristic
680C2×D4×C79C2411yescharacteristic
681C2×D4×C79C2411yescharacteristic
682C22×C4×C79—21no—
683C22×C4×C79—22no—
684C22×C4×C79—22no—
685C22×C4×C79—21no—
686C22×C4×C79—21no—
687C22×C4×C79—21no—
688C22×C4×C79—21no—
689C22×C4×C79—21no—
690C22×C4×C79—44no—
691C22×C4×C79C2×D411yescharacteristic
692C22×C4×C79C2×D411yescharacteristic
693C22×C4×C79C2×D411yescharacteristic
694C22×C4×C79C2411yescharacteristic
695C22×C4×C79C2411yescharacteristic
696C22×C4×C79C2411yescharacteristic
697Q16×C79—22no—
698Q16×C79—41no—
699SD16×C79—22no—
700SD16×C79—22no—
701SD16×C79—41no—
702SD16×C79—41no—
703D8×C79—22no—
704D8×C79—41no—
705C2×C8×C79—22no—
706C2×C8×C79—22no—
707C2×C8×C79C2411yescharacteristic
708C2×C8×C79C2411yescharacteristic
709C2×C8×C79C2411yescharacteristic
710C2×C8×C79C2411yescharacteristic
711C4⋊C4×C79—21no—
712C4⋊C4×C79—21no—
713C4⋊C4×C79C2411yescharacteristic
714C4⋊C4×C79C2411yescharacteristic
715C22⋊C4×C79—21no—
716C22⋊C4×C79—21no—
717C22⋊C4×C79—21no—
718C22⋊C4×C79—21no—
719C22⋊C4×C79—21no—
720C42×C79—21no—
721C23×C79—21no—
722C23×C79—22no—
723C23×C79—21no—
724C23×C79—21no—
725C23×C79—41no—
726C23×C79—41no—
727C23×C79—42no—
728C23×C79—42no—
729C23×C79—81no—
730C23×C79C22×D411yescharacteristic
731C23×C79C22×D411yescharacteristic
732C23×C79C22×D411yescharacteristic
733C22×D79—22no—
734C22×D79—21no—
735C22×D79—41no—
736C22×D79—41no—
737C22×D79—42no—
738C22×D79—42no—
739C22×D79—81no—
740C22×D79C22×D411yescharacteristic
741C22×D79C22×D411yescharacteristic
742Q8×C79—21no—
743Q8×C79—21no—
744Q8×C79—21no—
745Q8×C79—21no—
746Q8×C79—21no—
747Q8×C79—42no—
748Q8×C79C2×#4112yes—
749D4×C79—24no—
750D4×C79—21no—
751D4×C79—21no—
752D4×C79—21no—
753D4×C79—21no—
754D4×C79—21no—
755D4×C79—42no—
756D4×C79—42no—
757D4×C79—42no—
758D4×C79—42no—
759D4×C79—42no—
760D4×C79—42no—
761D4×C79—81no—
762D4×C79C2×#4112yes—
763C2×C4×C79—22no—
764C2×C4×C79—21no—
765C2×C4×C79—24no—
766C2×C4×C79—22no—
767C2×C4×C79—22no—
768C2×C4×C79—21no—
769C2×C4×C79—21no—
770C2×C4×C79—21no—
771C2×C4×C79—21no—
772C2×C4×C79—21no—
773C2×C4×C79—21no—
774C2×C4×C79—21no—
775C2×C4×C79—21no—
776C2×C4×C79—42no—
777C2×C4×C79—42no—
778C2×C4×C79—42no—
779C2×C4×C79—42no—
780C2×C4×C79—42no—
781C2×C4×C79C22×D411yescharacteristic
782C2×C4×C79C22×D411yescharacteristic
783C2×C4×C79C22×D411yescharacteristic
784C2×C4×C79C2×#4112yes—
785C2×C4×C79H(5,𝔽2)12yes—
786C2×C4×C79C2511yescharacteristic
787C22⋊D79—22no—
788C22⋊D79—22no—
789C22⋊D79—41no—
790C22⋊D79—41no—
791C22⋊D79—42no—
792C22⋊D79—42no—
793C22⋊D79—42no—
794C22⋊D79—42no—
795C22⋊D79—42no—
796C22⋊D79—42no—
797C22⋊D79—42no—
798C22⋊D79—81no—
799C22⋊D79—81no—
800C22⋊D79—81no—
801C22⋊D79—81no—
802C2×Dic79—22no—
803C2×Dic79—22no—
804C2×Dic79—21no—
805C2×Dic79—21no—
806C2×Dic79—21no—
807C2×Dic79—21no—
808C2×Dic79—21no—
809C2×Dic79—21no—
810C2×Dic79—21no—
811C2×Dic79—41no—
812C2×Dic79—42no—
813C2×Dic79—42no—
814C2×Dic79—42no—
815C2×Dic79—42no—
816C2×Dic79—81no—
817C2×Dic79—81no—
818C2×Dic79—81no—
819C2×Dic79C22×D411yescharacteristic
820C2×Dic79C22×D411yescharacteristic
821C2×Dic79C22×D411yescharacteristic
822C2×Dic79C22×D411yescharacteristic
823C2×Dic79C22×D411yescharacteristic
824C2×Dic79C22×D411yescharacteristic
825D316—21no—
826D316—21no—
827D316—42no—
828C4×D79—22no—
829C4×D79—22no—
830C4×D79—21no—
831C4×D79—21no—
832C4×D79—21no—
833C4×D79—21no—
834C4×D79—42no—
835C4×D79—42no—
836C4×D79—42no—
837C4×D79—42no—
838C4×D79—81no—
839Dic158—21no—
840Dic158—21no—
841Dic158—42no—
842Dic158—42no—
843Dic158—81no—
844C8×C79—21no—
845C8×C79—21no—
846C8×C79—21no—
847C8×C79—21no—
848C79⋊C8—21no—
849C79⋊C8—21no—
850C79⋊C8—21no—
851C79⋊C8—21no—
852C22×C79—21no—
853C22×C79—21no—
854C22×C79—21no—
855C22×C79—21no—
856C22×C79—22no—
857C22×C79—21no—
858C22×C79—21no—
859C22×C79—21no—
860C22×C79—21no—
861C22×C79—41no—
862C22×C79—41no—
863C22×C79—41no—
864C22×C79—41no—
865C22×C79—41no—
866C22×C79—41no—
867C22×C79—41no—
868C22×C79—41no—
869C22×C79—82no—
870C22×C79—84no—
871C22×C79#54612yes—
872C22×C79C23×D411yescharacteristic
873C2×D79—21no—
874C2×D79—21no—
875C2×D79—21no—
876C2×D79—21no—
877C2×D79—21no—
878C2×D79—21no—
879C2×D79—41no—
880C2×D79—41no—
881C2×D79—41no—
882C2×D79—82no—
883C2×D79—84no—
884C4×C79—21no—
885C4×C79—21no—
886C4×C79—22no—
887C4×C79—41no—
888C4×C79—41no—
889C4×C79—41no—
890C4×C79—41no—
891C4×C79#54612yes—
892C4×C79C22×#4111yescharacteristic
893C4×C79C2×H(5,𝔽2)11yescharacteristic
894Dic79—21no—
895Dic79—21no—
896Dic79—21no—
897Dic79—21no—
898Dic79—21no—
899Dic79—41no—
900Dic79—41no—
901Dic79—41no—
902Dic79—41no—
903Dic79—41no—
904Dic79—41no—
905Dic79—41no—
906Dic79#57512yes—
907#61154—791nomaximal, Sylow
908C2×C79—22no—
909C2×C79—42no—
910C2×C79—41no—
911C2×C79—41no—
912C2×C79—81no—
913C2×C79—81no—
914C2×C79C2×#54611yescharacteristic
915C2×C79C2×#57511yescharacteristic
916C2×C79#358411yescharacteristic
917D79—41no—
918D79—41no—
919D79—81no—
920#3475—791no—
921D4×#41—791no—
922#3333—791no—
923#3332—791no—
924#3331—791no—
925#3330—791no—
926#3329—791no—
927#3328—791no—
928#3327—791no—
929#3327—791no—
930#3326—791no—
931#3326—791no—
932#3325—791no—
933#3324—791no—
934#3323—791no—
935#3323—791no—
936#3322—791no—
937#3322—791no—
938#3131—791no—
939#3091—791no—
940#3091—791no—
941#3076—791no—
942#3054—791no—
943#3054—791no—
944#3035—791no—
945#3002—791no—
946#3002D7911yescharacteristic, complemented
947C4×#135—791no—
948C2×#436—791no—
949#2896—791no—
950#2896—791no—
951C79#6115411yescharacteristic, complemented, Sylow
952C22×#41—791no—
953C22×#41C2×D7911yescharacteristic
954C2×#135—791no—
955C2×#135C2×D7911yescharacteristic
956C2×#135C2×D7911yescharacteristic, complemented
957C22×M16—791no—
958C22×M16—791no—
959#556—791no—
960#555—791no—
961#554—791no—
962#553—791no—
963#553—791no—
964#552—791no—
965#552—791no—
966#552—1581no—
967#551—1581no—
968#551—1581no—
969#550—791no—
970D4×Q8—791no—
971#548—791no—
972#548—791no—
973#547—791no—
974#547—791no—
975#547—1581no—
976#546—791no—
977#546—791no—
978#546—1581no—
979#546—1581no—
980#546—1581no—
981D42—791no—
982D42—1581no—
983#533—791no—
984#532—791no—
985#532—1581no—
986#529—1581no—
987#529—1581no—
988#529—1581no—
989#525—791no—
990#525—791no—
991#525—791no—
992#525—1581no—
993#525—1581no—
994#525C2×D7911yescharacteristic, complemented
995C4×#41—791no—
996C4×#41—791no—
997C4×#41—1581no—
998C2×C4×D4—791no—
999C2×C4×D4—1581no—
1000C2×#117—791no—
1001C2×#117—791no—
1002#488—791no—
1003#488—791no—
1004#488—791no—
1005#488—791no—
1006#487—791no—
1007#487—791no—
1008#486—791no—
1009#486—791no—
1010#485—791no—
1011#485—791no—
1012#485—791no—
1013#485—791no—
1014#484—791no—
1015#484—791no—
1016#483—791no—
1017#483—791no—
1018#482—791no—
1019#482—791no—
1020#482—791no—
1021#482—791no—
1022#481—791no—
1023#481—791no—
1024#480—791no—
1025#480—791no—
1026#479—791no—
1027#479—791no—
1028#478—791no—
1029#478—791no—
1030#477—791no—
1031#476—791no—
1032#475—791no—
1033#474—791no—
1034#470—791no—
1035#470—791no—
1036#470—791no—
1037#470—791no—
1038#469—791no—
1039#469—791no—
1040#469—791no—
1041#469—791no—
1042#468—791no—
1043#468—791no—
1044#468—791no—
1045#468—791no—
1046#468—791no—
1047#468—791no—
1048#468—791no—
1049#468—791no—
1050#464—791no—
1051#464—791no—
1052#463—791no—
1053#463—791no—
1054#462—791no—
1055#461—791no—
1056#460—791no—
1057#459—791no—
1058#452—791no—
1059#452—791no—
1060#452C2×D7911yescharacteristic, complemented
1061#452C2×D7911yescharacteristic, complemented
1062#451—791no—
1063#451C2×D7911yescharacteristic, complemented
1064#450—791no—
1065#450C2×D7911yescharacteristic, complemented
1066#449—791no—
1067#449—791no—
1068#449C2×D7911yescharacteristic, complemented
1069#449C2×D7911yescharacteristic, complemented
1070#448—791no—
1071#448C2×D7911yescharacteristic, complemented
1072#447—791no—
1073#447C2×D7911yescharacteristic, complemented
1074C4×Q16—791no—
1075C4×Q16—791no—
1076C4×SD16—791no—
1077C4×SD16—791no—
1078C4×SD16—791no—
1079C4×SD16—791no—
1080C4×D8—791no—
1081C4×D8—791no—
1082#436—791no—
1083#436—791no—
1084#436—791no—
1085#436—791no—
1086#436—791no—
1087#436—791no—
1088#436—791no—
1089#436—791no—
1090#427—791no—
1091#427—791no—
1092#427—791no—
1093C2×C4⋊C8—791no—
1094#419—791no—
1095#419—791no—
1096#419—791no—
1097#419—791no—
1098#418—791no—
1099#418—791no—
1100#418—791no—
1101#418—791no—
1102#417—791no—
1103#417—791no—
1104#417—791no—
1105#417—791no—
1106#417—791no—
1107#417—791no—
1108#417—791no—
1109#417—791no—
1110#416—791no—
1111#416—791no—
1112#416—791no—
1113#416—791no—
1114#416—791no—
1115#416—791no—
1116#416—791no—
1117#416—791no—
1118#416C2×D7911yescharacteristic
1119#416C2×D7911yescharacteristic, complemented
1120C2×C22⋊C8—791no—
1121C2×C22⋊C8C2×D7911yescharacteristic, complemented
1122C2×C4×C8—791no—
1123C2×#41—21no—
1124C2×#41—21no—
1125C2×#41—24no—
1126C2×#41—42no—
1127C2×#41—3162no—
1128C2×#41—791no—
1129C2×#41—791no—
1130C2×#41—791no—
1131C2×#41—1581no—
1132C2×#41—1584no—
1133C2×#41—1581no—
1134C2×#41—1581no—
1135C2×#41C22×D7911yescharacteristic
1136C2×#41C22×D7911yescharacteristic
1137C2×#41C22×D7911yescharacteristic
1138C2×#41C22×D7911yescharacteristic
1139C2×#41C22×D7911yescharacteristic
1140C22×Q8—791no—
1141C22×Q8C22×D7911yescharacteristic
1142C22×D4—21no—
1143C22×D4—791no—
1144C22×D4—791no—
1145C22×D4—1581no—
1146C22×D4—1581no—
1147C22×D4C22×D7911yescharacteristic
1148C23×C4—21no—
1149C23×C4—791no—
1150C23×C4—1581no—
1151C23×C4C22×D7911yescharacteristic
1152#135—24no—
1153#135—42no—
1154#135—3162no—
1155C2×Q16—791no—
1156C2×Q16C22×D7911yescharacteristic
1157C2×Q16C22×D7911yescharacteristic
1158C2×SD16—791no—
1159C2×SD16—791no—
1160C2×SD16C22×D7911yescharacteristic
1161C2×SD16C22×D7911yescharacteristic
1162C2×SD16C22×D7911yescharacteristic
1163C2×SD16C22×D7911yescharacteristic
1164C2×D8—791no—
1165C2×D8C22×D7911yescharacteristic
1166C2×D8C22×D7911yescharacteristic
1167C2×M16—3162no—
1168C2×M16—3162no—
1169C2×M16—791no—
1170C2×M16—791no—
1171C2×M16—791no—
1172C2×M16—791no—
1173C2×M16—791no—
1174C2×M16—791no—
1175C2×M16—791no—
1176C2×M16—791no—
1177C22×C8—791no—
1178C22×C8—791no—
1179C22×C8C22×D7911yescharacteristic
1180C22×C8C22×D7911yescharacteristic
1181C4⋊Q8—791no—
1182C4⋊Q8—791no—
1183C4⋊Q8—791no—
1184C4⋊Q8—1581no—
1185#127—791no—
1186#127—1581no—
1187#126—1581no—
1188#126—1581no—
1189#126—1581no—
1190#126—1581no—
1191#126—1581no—
1192#126—1581no—
1193#125—791no—
1194#125—791no—
1195#125—1581no—
1196#125—1581no—
1197#125—1581no—
1198#124—791no—
1199#124—791no—
1200#124—1581no—
1201#124—1581no—
1202#124—1581no—
1203#124—1581no—
1204#124—1581no—
1205#123—21no—
1206#123—1581no—
1207#123—1581no—
1208#123—1581no—
1209#123—1581no—
1210#123—1581no—
1211#123—1581no—
1212#123—1581no—
1213#123—1581no—
1214#123—1581no—
1215#123—1581no—
1216#123—1581no—
1217#123—1581no—
1218#123—1581no—
1219C22⋊Q8—791no—
1220C22⋊Q8—791no—
1221C22⋊Q8—791no—
1222C22⋊Q8—791no—
1223C22⋊Q8—791no—
1224C22⋊Q8—791no—
1225C22⋊Q8—1581no—
1226C22⋊Q8—1581no—
1227C22⋊Q8—1581no—
1228C22⋊Q8—1581no—
1229C22⋊Q8—1581no—
1230C22⋊Q8—1581no—
1231C22⋊Q8—1581no—
1232C22⋊Q8—1581no—
1233C22⋊Q8—1581no—
1234C22⋊Q8C22×D7911yescharacteristic
1235C22⋊Q8C22×D7911yescharacteristic
1236#121—791no—
1237#121—791no—
1238#121—791no—
1239#121—791no—
1240#121—791no—
1241#121—791no—
1242#121—1581no—
1243#121—1581no—
1244#121—1581no—
1245#121—1581no—
1246#121—1581no—
1247#121—1581no—
1248#121—1581no—
1249#121—1581no—
1250#121—1581no—
1251#121—1581no—
1252#121—1581no—
1253#121—1581no—
1254#121—1581no—
1255#121C22×D7911yescharacteristic
1256#121C22×D7911yescharacteristic
1257#120—21no—
1258#120—1581no—
1259#120—1581no—
1260#120—1581no—
1261#120—1581no—
1262#120—1581no—
1263#120—1581no—
1264#120—1581no—
1265C4×Q8—791no—
1266C4×Q8—791no—
1267C4×Q8—791no—
1268C4×Q8—791no—
1269C4×Q8—1581no—
1270C4×Q8—1581no—
1271C4×Q8—1581no—
1272C4×D4—21no—
1273C4×D4—21no—
1274C4×D4—791no—
1275C4×D4—791no—
1276C4×D4—791no—
1277C4×D4—791no—
1278C4×D4—791no—
1279C4×D4—791no—
1280C4×D4—791no—
1281C4×D4—791no—
1282C4×D4—791no—
1283C4×D4—791no—
1284C4×D4—791no—
1285C4×D4—791no—
1286C4×D4—1581no—
1287C4×D4—1581no—
1288C4×D4—1581no—
1289C4×D4—1581no—
1290C4×D4—1581no—
1291C4×D4—1581no—
1292C4×D4—1581no—
1293C4×D4—1581no—
1294C4×D4—1581no—
1295C4×D4—1581no—
1296C4×D4—1581no—
1297C4×D4—1581no—
1298C4×D4—1581no—
1299C4×D4—1581no—
1300C4×D4—1581no—
1301C4×D4—1581no—
1302C4×D4—1581no—
1303C4×D4—1581no—
1304C4×D4—1581no—
1305#117—791no—
1306#117—791no—
1307#117—791no—
1308#117—791no—
1309#117—791no—
1310#117—791no—
1311#117—791no—
1312#117—1581no—
1313#117—1581no—
1314#117—1581no—
1315#117—1581no—
1316#117—1581no—
1317#117—1581no—
1318#117—1581no—
1319#117—1581no—
1320#117—1581no—
1321#117C22×D7911yescharacteristic
1322C2×C4⋊C4—791no—
1323C2×C4⋊C4—791no—
1324C2×C4⋊C4—791no—
1325C2×C4⋊C4—791no—
1326C2×C4⋊C4—791no—
1327C2×C4⋊C4—1581no—
1328C2×C22⋊C4—791no—
1329C2×C22⋊C4—791no—
1330C2×C22⋊C4—1581no—
1331C2×C22⋊C4—1581no—
1332C2×C22⋊C4—1581no—
1333C2×C22⋊C4—1581no—
1334C2×C42—791no—
1335C2×C42—1581no—
1336C2×C42—1581no—
1337C2×C42—1581no—
1338C2×C42—1581no—
1339#107—791no—
1340#107—791no—
1341#107—791no—
1342#107—791no—
1343#107—791no—
1344#107—791no—
1345#106—791no—
1346#106—791no—
1347#106—791no—
1348#106—791no—
1349#106—791no—
1350#106—791no—
1351C4⋊C8—791no—
1352C4⋊C8—791no—
1353C4⋊C8—791no—
1354C4⋊C8—791no—
1355#103—791no—
1356#103—791no—
1357#103—791no—
1358#103—791no—
1359#103—791no—
1360#103—791no—
1361#103—791no—
1362#103—791no—
1363#103—791no—
1364#103—791no—
1365#103—791no—
1366#103—791no—
1367#103—791no—
1368#103—791no—
1369#103—791no—
1370#103—791no—
1371#103C22×D7911yescharacteristic
1372#103C22×D7911yescharacteristic
1373#103C22×D7911yescharacteristic
1374#103C22×D7911yescharacteristic
1375#102—791no—
1376#102—791no—
1377#102—791no—
1378#102—791no—
1379#102—791no—
1380#102—791no—
1381#102—791no—
1382#102—791no—
1383#102—791no—
1384#102—791no—
1385#102—791no—
1386#102—791no—
1387#102—791no—
1388#102—791no—
1389#102—791no—
1390#102—791no—
1391#102C22×D7911yescharacteristic
1392#102C22×D7911yescharacteristic
1393#102C22×D7911yescharacteristic
1394#102C22×D7911yescharacteristic
1395C22⋊C8—791no—
1396C22⋊C8—791no—
1397C22⋊C8—791no—
1398C22⋊C8—791no—
1399C22⋊C8C22×D7911yescharacteristic
1400C22⋊C8C22×D7911yescharacteristic
1401C22⋊C8C22×D7911yescharacteristic
1402C22⋊C8C22×D7911yescharacteristic
1403C4×C8—791no—
1404C4×C8—791no—
1405C4×C8—791no—
1406C4×C8—791no—
1407C24—21no—
1408C24—791no—
1409C24—1581no—
1410C24D4×D7911yescharacteristic
1411#41—22no—
1412#41—22no—
1413#41—22no—
1414#41—22no—
1415#41—22no—
1416#41—22no—
1417#41—22no—
1418#41—44no—
1419#41—41no—
1420#41—41no—
1421#41—44no—
1422#41—3164no—
1423#41—3164no—
1424#41—3164no—
1425#41—3161no—
1426#41—3161no—
1427#41—1582no—
1428#41—1582no—
1429#41—1582no—
1430#41—1582no—
1431#41#1192962314yescomplemented
1432C2×Q8—21no—
1433C2×Q8—22no—
1434C2×Q8—41no—
1435C2×Q8—3161no—
1436C2×Q8—791no—
1437C2×Q8—1581no—
1438C2×Q8—1581no—
1439C2×Q8—1581no—
1440C2×Q8—1582no—
1441C2×Q8C23×D7911yescharacteristic
1442C2×Q8C23×D7911yescharacteristic
1443C2×Q8C23×D7911yescharacteristic
1444C2×D4—21no—
1445C2×D4—22no—
1446C2×D4—21no—
1447C2×D4—21no—
1448C2×D4—21no—
1449C2×D4—21no—
1450C2×D4—21no—
1451C2×D4—21no—
1452C2×D4—21no—
1453C2×D4—41no—
1454C2×D4—44no—
1455C2×D4—3164no—
1456C2×D4—3164no—
1457C2×D4—3161no—
1458C2×D4—3162no—
1459C2×D4—791no—
1460C2×D4—791no—
1461C2×D4—791no—
1462C2×D4—791no—
1463C2×D4—791no—
1464C2×D4—1581no—
1465C2×D4—1581no—
1466C2×D4—1581no—
1467C2×D4—1581no—
1468C2×D4—1581no—
1469C2×D4—1581no—
1470C2×D4—1581no—
1471C2×D4—1581no—
1472C2×D4—1581no—
1473C2×D4—1582no—
1474C2×D4—1581no—
1475C2×D4—1581no—
1476C2×D4—1581no—
1477C2×D4C23×D7911yescharacteristic
1478C2×D4C23×D7911yescharacteristic
1479C2×D4C23×D7911yescharacteristic
1480C22×C4—22no—
1481C22×C4—22no—
1482C22×C4—21no—
1483C22×C4—21no—
1484C22×C4—21no—
1485C22×C4—21no—
1486C22×C4—21no—
1487C22×C4—21no—
1488C22×C4—44no—
1489C22×C4—3164no—
1490C22×C4—791no—
1491C22×C4—791no—
1492C22×C4—791no—
1493C22×C4—791no—
1494C22×C4—791no—
1495C22×C4—791no—
1496C22×C4—791no—
1497C22×C4—1581no—
1498C22×C4—1581no—
1499C22×C4—1581no—
1500C22×C4—1581no—
1501C22×C4—1581no—
1502C22×C4—1581no—
1503C22×C4—1581no—
1504C22×C4—1581no—
1505C22×C4—1581no—
1506C22×C4—1581no—
1507C22×C4—1581no—
1508C22×C4—1581no—
1509C22×C4—1582no—
1510C22×C4—1582no—
1511C22×C4D4×D7911yescharacteristic
1512C22×C4D4×D7911yescharacteristic
1513C22×C4D4×D7911yescharacteristic
1514C22×C4C23×D7911yescharacteristic
1515C22×C4C23×D7911yescharacteristic
1516C22×C4C23×D7911yescharacteristic
1517Q16—22no—
1518Q16—41no—
1519Q16—3161no—
1520SD16—22no—
1521SD16—22no—
1522SD16—41no—
1523SD16—41no—
1524SD16—3161no—
1525SD16—3161no—
1526D8—22no—
1527D8—41no—
1528D8—3161no—
1529M16—3161no—
1530M16—3161no—
1531M16—3161no—
1532M16—3161no—
1533M16—3161no—
1534M16—3161no—
1535M16—3161no—
1536M16—3161no—
1537C2×C8—22no—
1538C2×C8—22no—
1539C2×C8—791no—
1540C2×C8—791no—
1541C2×C8—791no—
1542C2×C8—791no—
1543C2×C8—1582no—
1544C2×C8—1582no—
1545C2×C8C23×D7911yescharacteristic
1546C2×C8C23×D7911yescharacteristic
1547C2×C8C23×D7911yescharacteristic
1548C2×C8C23×D7911yescharacteristic
1549C4⋊C4—21no—
1550C4⋊C4—21no—
1551C4⋊C4—791no—
1552C4⋊C4—791no—
1553C4⋊C4—791no—
1554C4⋊C4—791no—
1555C4⋊C4—791no—
1556C4⋊C4—791no—
1557C4⋊C4—791no—
1558C4⋊C4—791no—
1559C4⋊C4—791no—
1560C4⋊C4—791no—
1561C4⋊C4—1581no—
1562C4⋊C4—1581no—
1563C4⋊C4—1581no—
1564C4⋊C4—1581no—
1565C4⋊C4—1581no—
1566C4⋊C4—1581no—
1567C4⋊C4—1581no—
1568C4⋊C4—1581no—
1569C4⋊C4—1581no—
1570C4⋊C4—1581no—
1571C4⋊C4—1581no—
1572C4⋊C4—1581no—
1573C4⋊C4—1581no—
1574C4⋊C4—1581no—
1575C4⋊C4—1581no—
1576C4⋊C4—1581no—
1577C4⋊C4—1581no—
1578C4⋊C4—1581no—
1579C4⋊C4—1581no—
1580C4⋊C4—1581no—
1581C4⋊C4—1581no—
1582C4⋊C4—1581no—
1583C4⋊C4C23×D7911yescharacteristic
1584C4⋊C4C23×D7911yescharacteristic
1585C22⋊C4—21no—
1586C22⋊C4—21no—
1587C22⋊C4—21no—
1588C22⋊C4—21no—
1589C22⋊C4—21no—
1590C22⋊C4—791no—
1591C22⋊C4—791no—
1592C22⋊C4—791no—
1593C22⋊C4—791no—
1594C22⋊C4—791no—
1595C22⋊C4—791no—
1596C22⋊C4—791no—
1597C22⋊C4—791no—
1598C22⋊C4—1581no—
1599C22⋊C4—1581no—
1600C22⋊C4—1581no—
1601C22⋊C4—1581no—
1602C22⋊C4—1581no—
1603C22⋊C4—1581no—
1604C22⋊C4—1581no—
1605C22⋊C4—1581no—
1606C22⋊C4—1581no—
1607C22⋊C4—1581no—
1608C22⋊C4—1581no—
1609C22⋊C4—1581no—
1610C22⋊C4—1581no—
1611C22⋊C4—1581no—
1612C22⋊C4—1581no—
1613C22⋊C4—1581no—
1614C22⋊C4—1581no—
1615C22⋊C4—1581no—
1616C22⋊C4—1581no—
1617C22⋊C4—1581no—
1618C22⋊C4—1581no—
1619C22⋊C4—1581no—
1620C22⋊C4—1581no—
1621C22⋊C4—1581no—
1622C22⋊C4—1581no—
1623C22⋊C4—1581no—
1624C22⋊C4—1581no—
1625C42—21no—
1626C42—791no—
1627C42—791no—
1628C42—791no—
1629C42—791no—
1630C42—1581no—
1631C42—1581no—
1632C42—1581no—
1633C42—1581no—
1634C42—1581no—
1635C42—1581no—
1636C42—1581no—
1637C42—1581no—
1638C42—1581no—
1639C42—1581no—
1640C42—1581no—
1641C23—21no—
1642C23—22no—
1643C23—21no—
1644C23—21no—
1645C23—41no—
1646C23—41no—
1647C23—42no—
1648C23—42no—
1649C23—81no—
1650C23—3162no—
1651C23—3161no—
1652C23—3161no—
1653C23—3162no—
1654C23—791no—
1655C23—791no—
1656C23—6321no—
1657C23—1581no—
1658C23—1582no—
1659C23C2×D4×D7911yescharacteristic
1660C23C2×D4×D7911yescharacteristic
1661C23C2×D4×D7911yescharacteristic
1662Q8—21no—
1663Q8—21no—
1664Q8—21no—
1665Q8—21no—
1666Q8—21no—
1667Q8—42no—
1668Q8—3162no—
1669Q8—3162no—
1670Q8—6321no—
1671Q8—1581no—
1672Q8—1581no—
1673Q8C2×#1192962312yes—
1674D4—24no—
1675D4—21no—
1676D4—21no—
1677D4—21no—
1678D4—21no—
1679D4—21no—
1680D4—42no—
1681D4—42no—
1682D4—42no—
1683D4—42no—
1684D4—42no—
1685D4—42no—
1686D4—81no—
1687D4—3162no—
1688D4—3162no—
1689D4—3162no—
1690D4—3162no—
1691D4—3162no—
1692D4—3162no—
1693D4—3162no—
1694D4—3162no—
1695D4—3161no—
1696D4—3161no—
1697D4—6321no—
1698D4—6321no—
1699D4—6321no—
1700D4—6321no—
1701D4—1582no—
1702D4—1582no—
1703D4—1581no—
1704D4—1581no—
1705D4C2×#1192962312yes—
1706C2×C4—22no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—22no—
1711C2×C4—22no—
1712C2×C4—24no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—42no—
1720C2×C4—42no—
1721C2×C4—42no—
1722C2×C4—42no—
1723C2×C4—42no—
1724C2×C4—3162no—
1725C2×C4—3162no—
1726C2×C4—3162no—
1727C2×C4—3162no—
1728C2×C4—3162no—
1729C2×C4—3162no—
1730C2×C4—3162no—
1731C2×C4—3162no—
1732C2×C4—3161no—
1733C2×C4—791no—
1734C2×C4—791no—
1735C2×C4—791no—
1736C2×C4—791no—
1737C2×C4—791no—
1738C2×C4—791no—
1739C2×C4—6321no—
1740C2×C4—6321no—
1741C2×C4—6321no—
1742C2×C4—6321no—
1743C2×C4—1581no—
1744C2×C4—1581no—
1745C2×C4—1581no—
1746C2×C4—1581no—
1747C2×C4—1581no—
1748C2×C4—1581no—
1749C2×C4—1581no—
1750C2×C4—1582no—
1751C2×C4—1582no—
1752C2×C4—1581no—
1753C2×C4—1581no—
1754C2×C4—1582no—
1755C2×C4—1582no—
1756C2×C4—1581no—
1757C2×C4—1581no—
1758C2×C4C2×D4×D7911yescharacteristic
1759C2×C4C2×D4×D7911yescharacteristic
1760C2×C4C2×D4×D7911yescharacteristic
1761C2×C4C2×#1192962312yes—
1762C2×C4#1457920612yes—
1763C2×C4C24×D7911yescharacteristic
1764C8—21no—
1765C8—21no—
1766C8—21no—
1767C8—21no—
1768C8—1581no—
1769C8—1581no—
1770C8—1581no—
1771C8—1581no—
1772C22—21no—
1773C22—21no—
1774C22—21no—
1775C22—21no—
1776C22—22no—
1777C22—21no—
1778C22—21no—
1779C22—21no—
1780C22—21no—
1781C22—41no—
1782C22—41no—
1783C22—41no—
1784C22—41no—
1785C22—41no—
1786C22—41no—
1787C22—41no—
1788C22—41no—
1789C22—82no—
1790C22—84no—
1791C22—3161no—
1792C22—3161no—
1793C22—3161no—
1794C22—6322no—
1795C22—6324no—
1796C22—1581no—
1797C22—1581no—
1798C22—1581no—
1799C22—1581no—
1800C22—1581no—
1801C22—1581no—
1802C22#1909920012yes—
1803C22C22×D4×D7911yescharacteristic
1804C4—21no—
1805C4—21no—
1806C4—22no—
1807C4—41no—
1808C4—41no—
1809C4—41no—
1810C4—41no—
1811C4—3161no—
1812C4—3161no—
1813C4—3161no—
1814C4—3161no—
1815C4—3161no—
1816C4—3161no—
1817C4—3161no—
1818C4—792no—
1819C4—1581no—
1820C4—1581no—
1821C4—1581no—
1822C4—1581no—
1823C4—1581no—
1824C4#1909920012yes—
1825C4C22×#1192962311yescharacteristic
1826C4C2×#1457920611yescharacteristic
1827C2—22no—
1828C2—41no—
1829C2—41no—
1830C2—42no—
1831C2—81no—
1832C2—81no—
1833C2—3161no—
1834C2—3161no—
1835C2—6321no—
1836C2C2×#1909920011yescharacteristic
1837C2#575×D7911yescharacteristic
1838C2#2377816911yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3002C2
socleC22×C79C23×D4
hypercenter#3002D79
hypocenterC79#61154
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C2×C4 ◁ C23×C4 ◁ #3002

Complements

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

NH ≅ G/Ntype
1. #23776960C2semidirect
2. #41×C22⋊D79C2semidirect
3. #23775731C2semidirect
4. #23775720C2semidirect
5. #23775709C2semidirect
6. #23775698C2semidirect
7. #23775687C2semidirect
8. #23775676C2semidirect
9. #23775672C2semidirect
10. #23775661C2semidirect
11. #23775657C2semidirect
12. #23775646C2semidirect
13. #23775635C2semidirect
14. #23775624C2semidirect
15. #23775620C2semidirect
16. #23775609C2semidirect
17. #23775605C2semidirect
18. #23775594C2semidirect
19. #23773720C2semidirect
20. #23773315C2semidirect
21. #23773311C2semidirect
22. #23773184C2semidirect
23. #23773006C2semidirect
24. #23773005C2semidirect
25. #23772851C2semidirect
26. #23772614C2semidirect
27. #135×Dic79C2semidirect
28. C2×#19098638C2semidirect
29. #23771919C2semidirect
30. #23771915C2semidirect
31. C79×#3002C2semidirect
33. C2×#14579181C22semidirect
34. C22×#11929608C22semidirect
35. C22×#11929607C22semidirect
38. #19099271C22semidirect
39. #19099265C22semidirect
40. #19099260C22semidirect
41. #19099255C22semidirect
43. #19099247C22semidirect
50. #19099213C22semidirect
60. #19099116C22semidirect
70. #19099070C22semidirect
72. #41×Dic79C22semidirect
76. C2×#14579120C22semidirect
77. #117×D79C22semidirect
78. #19098919C22semidirect
79. #19098919C22semidirect
80. #19098916C22semidirect
81. #19098916C22semidirect
82. #19098912C22semidirect
83. #19098912C22semidirect
84. #19098908C22semidirect
85. #19098908C22semidirect
86. #19098905C22semidirect
87. #19098905C22semidirect
88. #19098903C22semidirect
89. #19098902C22semidirect
90. #19098899C22semidirect
91. #19098897C22semidirect
92. #19098894C22semidirect
93. #19098892C22semidirect
94. #19098888C22semidirect
95. #19098888C22semidirect
96. #19098886C22semidirect
97. #19098885C22semidirect
98. #19098882C22semidirect
99. #19098880C22semidirect
100. #19098877C22semidirect
101. #19098875C22semidirect
102. #19098872C22semidirect
103. #19098868C22semidirect
104. #19098865C22semidirect
105. #19098861C22semidirect
106. #19098856C22semidirect
107. #19098851C22semidirect
108. #19098846C22semidirect
109. #19098841C22semidirect
110. #19098819C22semidirect
111. #19098819C22semidirect
112. #19098818C22semidirect
113. #19098818C22semidirect
114. #19098814C22semidirect
115. #19098814C22semidirect
116. #19098813C22semidirect
117. #19098813C22semidirect
118. #19098811C22semidirect
119. #19098811C22semidirect
120. #19098807C22semidirect
121. #19098807C22semidirect
122. #19098806C22semidirect
123. #19098806C22semidirect
124. #19098806C22semidirect
125. #19098806C22semidirect
126. #19098787C22semidirect
127. #19098783C22semidirect
128. #19098780C22semidirect
129. #19098776C22semidirect
130. #19098771C22semidirect
131. #19098766C22semidirect
132. #19098761C22semidirect
133. #19098756C22semidirect
134. #19098724C22semidirect
135. #19098722C22semidirect
136. #19098717C22semidirect
137. #19098712C22semidirect
138. #19098707C22semidirect
139. #19098705C22semidirect
140. #19098700C22semidirect
141. #19098695C22semidirect
142. Q16×Dic79C22semidirect
143. Q16×Dic79C22semidirect
144. SD16×Dic79C22semidirect
145. SD16×Dic79C22semidirect
146. SD16×Dic79C22semidirect
147. SD16×Dic79C22semidirect
148. D8×Dic79C22semidirect
149. D8×Dic79C22semidirect
152. #19098638C22semidirect
153. #19098638C22semidirect
154. #19098638C22semidirect
155. #19098638C22semidirect
156. #19098638C22semidirect
157. #19098638C22semidirect
158. #19098601C22semidirect
159. #19098601C22semidirect
160. #19098599C22semidirect
161. C2×Dic79⋊C8C22semidirect
162. #19098572C22semidirect
163. #19098572C22semidirect
164. #19098570C22semidirect
165. #19098570C22semidirect
166. #19098568C22semidirect
167. #19098568C22semidirect
168. #19098566C22semidirect
169. #19098566C22semidirect
170. #19098564C22semidirect
171. #19098564C22semidirect
172. #19098564C22semidirect
173. #19098564C22semidirect
174. #19098563C22semidirect
175. #19098563C22semidirect
176. #19098561C22semidirect
177. #19098561C22semidirect
178. #19098560C22semidirect
179. #19098560C22semidirect
182. #19098559C22semidirect
183. #19098559C22semidirect
184. #19098559C22semidirect
185. #19098557C22semidirect
186. C2×(C2×D79)⋊C8C22semidirect
187. C2×C8×Dic79C22semidirect
190. C2×#135×C79C22semidirect
191. #525×C79C22semidirect
192. #452×C79C22semidirect
193. #452×C79C22semidirect
194. #451×C79C22semidirect
195. #450×C79C22semidirect
196. #449×C79C22semidirect
197. #449×C79C22semidirect
198. #448×C79C22semidirect
199. #447×C79C22semidirect
201. #416×C79C22semidirect
202. C2×C22⋊C8×C79C22semidirect
661. #41×C79#41semidirect
946. #3002D79semidirect
951. C79#61154semidirect
956. C2×#135C2×D79semidirect
994. #525C2×D79semidirect
1060. #452C2×D79semidirect
1061. #452C2×D79semidirect
1063. #451C2×D79semidirect
1065. #450C2×D79semidirect
1068. #449C2×D79semidirect
1069. #449C2×D79semidirect
1071. #448C2×D79semidirect
1073. #447C2×D79semidirect
1119. #416C2×D79semidirect
1121. C2×C22⋊C8C2×D79semidirect
1431. #41#11929623semidirect

Maximal subgroups

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

subgroupindex
#237769602
#41×C22⋊D792
#237757312
#237757202
#237757092
#237756982
#237756872
#237756762
#237756722
#237756612
#237756572
#237756462
#237756352
#237756242
#237756202
#237756092
#237756052
#237755942
#237737202
#237733152
#237733112
#237731842
#237730062
#237730052
#237728512
#237726142
#135×Dic792
C2×#190986382
#237719192
#237719152
C79×#30022
#6115479