Finite Group Databasebeta

← #35185499

Subgroups — #35185499

Order 20224.

1716 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23778043C211yesmaximal, characteristic, complemented
2#23777339C211yesmaximal, characteristic, complemented
3#23776354C211yesmaximal, characteristic, complemented
4#23776277C211yesmaximal, characteristic, complemented
5#23776162C211yesmaximal, characteristic, complemented
6#23775997C211yesmaximal, characteristic, complemented
7#23775967C211yesmaximal, characteristic, complemented
8#23775965C211yesmaximal, characteristic, complemented
9#23775927C211yesmaximal, characteristic, complemented
10#23775847C211yesmaximal, characteristic, complemented
11#23775804C211yesmaximal, characteristic, complemented
12#23775630C211yesmaximal, characteristic, complemented
13#23775615C211yesmaximal, characteristic, complemented
14#23775608C211yesmaximal, characteristic, complemented
15#23775563C211yesmaximal, characteristic, complemented
16#23775548C211yesmaximal, characteristic, complemented
17#23775234C211yesmaximal, characteristic, complemented
18#23774858C211yesmaximal, characteristic, complemented
19#23774807C211yesmaximal, characteristic, complemented
20#23774798C211yesmaximal, characteristic, complemented
21#23774691C211yesmaximal, characteristic, complemented
22#23774646C211yesmaximal, characteristic, complemented
23#23774574C211yesmaximal, characteristic, complemented
24#23773683C211yesmaximal, characteristic, complemented
25#23773580C211yesmaximal, characteristic, complemented
26#23773445C211yesmaximal, characteristic, complemented
27#23773248C211yesmaximal, characteristic, complemented
28#23773228C211yesmaximal, characteristic, complemented
29#23773195C211yesmaximal, characteristic, complemented
30#23772548C211yesmaximal, characteristic, complemented
31C79×#3361C211yesmaximal, characteristic, complemented
32#19099314—21no—
33#19099309—21no—
34#19099291C2211yescharacteristic, complemented
35#19099287C2211yescharacteristic
36#19099284—21no—
37#19099278C2211yescharacteristic, complemented
38#19099273C2211yescharacteristic
39#19099263C2211yescharacteristic
40#19099263C2211yescharacteristic
41#19099263C2211yescharacteristic, complemented
42#19099258—21no—
43#19099254C2211yescharacteristic
44#19099251C2211yescharacteristic, complemented
45#19099251C2211yescharacteristic, complemented
46#19099248—21no—
47#19099243—21no—
48#19099242—21no—
49#19099218C2211yescharacteristic
50#19099206C2211yescharacteristic
51#19099206C2211yescharacteristic
52#19099205—21no—
53#19099198C2211yescharacteristic
54#19099193C2211yescharacteristic, complemented
55#19099190C2211yescharacteristic, complemented
56#19099183—21no—
57#19099183—21no—
58#19099182C2211yescharacteristic
59#19099178C2211yescharacteristic, complemented
60#19099178C2211yescharacteristic, complemented
61#19099173—21no—
62#19099167C2211yescharacteristic
63#19099160—21no—
64#19099156—21no—
65#19099147—21no—
66#19099119C2211yescharacteristic, complemented
67#19099100C2211yescharacteristic
68#19099095C2211yescharacteristic, complemented
69#19099092C2211yescharacteristic
70#19099072—21no—
71#123×D79—21no—
72#19099045C2211yescharacteristic
73#19099035C2211yescharacteristic
74C4×D4×D79C2211yescharacteristic
75#19098973C2211yescharacteristic, complemented
76#19098969C2211yescharacteristic, complemented
77#19098965C2211yescharacteristic, complemented
78#19098965C2211yescharacteristic, complemented
79#19098962C2211yescharacteristic, complemented
80#19098961C2211yescharacteristic, complemented
81#19098927C2211yescharacteristic
82#19098922C2211yescharacteristic, complemented
83#19098917C2211yescharacteristic, complemented
84#19098906C2211yescharacteristic, complemented
85#19098903C2211yescharacteristic, complemented
86#19098902C2211yescharacteristic, complemented
87#19098902C2211yescharacteristic, complemented
88#19098900C2211yescharacteristic, complemented
89#19098895C2211yescharacteristic, complemented
90#19098892C2211yescharacteristic, complemented
91#19098886C2211yescharacteristic
92#19098886C2211yescharacteristic
93#19098886C2211yescharacteristic, complemented
94#19098886C2211yescharacteristic, complemented
95#19098885C2211yescharacteristic
96#19098885C2211yescharacteristic, complemented
97#19098880C2211yescharacteristic
98#19098880C2211yescharacteristic, complemented
99#19098880C2211yescharacteristic, complemented
100#19098880C2211yescharacteristic, complemented
101#19098875C2211yescharacteristic, complemented
102#19098871C2211yescharacteristic, complemented
103#19098871C2211yescharacteristic, complemented
104#19098870C2211yescharacteristic, complemented
105#19098868C2211yescharacteristic, complemented
106#19098866C2211yescharacteristic
107#19098865C2211yescharacteristic, complemented
108#19098864C2211yescharacteristic
109#19098864C2211yescharacteristic
110#19098863C2211yescharacteristic, complemented
111#19098863C2211yescharacteristic, complemented
112#19098863C2211yescharacteristic, complemented
113#19098861C2211yescharacteristic, complemented
114#19098860C2211yescharacteristic
115#19098860C2211yescharacteristic
116#19098859C2211yescharacteristic, complemented
117#19098856C2211yescharacteristic, complemented
118#19098853C2211yescharacteristic, complemented
119#19098852C2211yescharacteristic
120#19098851C2211yescharacteristic, complemented
121#19098851C2211yescharacteristic, complemented
122#19098846C2211yescharacteristic, complemented
123#19098844C2211yescharacteristic
124#19098843C2211yescharacteristic, complemented
125#19098842C2211yescharacteristic
126#19098841C2211yescharacteristic, complemented
127#19098841C2211yescharacteristic, complemented
128#19098840C2211yescharacteristic
129#19098820C2211yescharacteristic, complemented
130#19098813C2211yescharacteristic
131#19098813C2211yescharacteristic, complemented
132#19098808C2211yescharacteristic
133#19098808C2211yescharacteristic
134#19098808C2211yescharacteristic, complemented
135#19098806C2211yescharacteristic, complemented
136#19098806C2211yescharacteristic, complemented
137#19098803C2211yescharacteristic, complemented
138#19098796C2211yescharacteristic
139#19098796C2211yescharacteristic, complemented
140#19098791C2211yescharacteristic, complemented
141#19098783C2211yescharacteristic, complemented
142#19098782C2211yescharacteristic, complemented
143#19098782C2211yescharacteristic, complemented
144#19098777C2211yescharacteristic
145#19098776C2211yescharacteristic, complemented
146#19098776C2211yescharacteristic, complemented
147#19098760C2211yescharacteristic
148#19098728C2211yescharacteristic
149#19098715C2211yescharacteristic
150#19098715C2211yescharacteristic
151#19098707C2211yescharacteristic
152#19098695C2211yescharacteristic
153#19098695C2211yescharacteristic
154#19098694C2211yescharacteristic, complemented
155#19098673C2211yescharacteristic
156#19098673C2211yescharacteristic
157#19098668C2211yescharacteristic, complemented
158#19098663C2211yescharacteristic, complemented
159C4×#11929613C2211yescharacteristic
160C4×#11929613C2211yescharacteristic
161C4×#11929613C2211yescharacteristic
162C4×#11929612C2211yescharacteristic, complemented
163C4×#11929609C2211yescharacteristic
164#19098642C2211yescharacteristic
165#19098642C2211yescharacteristic, complemented
166#19098640C2211yescharacteristic, complemented
167#19098633C2211yescharacteristic
168#19098633C2211yescharacteristic, complemented
169C8×D316C2211yescharacteristic, complemented
170#19098622C2211yescharacteristic, complemented
171#19098622C2211yescharacteristic, complemented
172#19098614C2211yescharacteristic, complemented
173#19098604C2211yescharacteristic, complemented
174#19098604C2211yescharacteristic, complemented
175#19098602C2211yescharacteristic, complemented
176#19098602C2211yescharacteristic, complemented
177#19098600C2211yescharacteristic, complemented
178#107×D79C2211yescharacteristic, complemented
179#19098588C2211yescharacteristic, complemented
180#19098588C2211yescharacteristic, complemented
181#19098585C2211yescharacteristic, complemented
182#19098566C2211yescharacteristic
183#19098566C2211yescharacteristic
184#19098566C2211yescharacteristic
185#19098563C2211yescharacteristic
186#19098558C2211yescharacteristic
187#102×D79C2211yescharacteristic
188#559×C79C2211yescharacteristic
189#554×C79C2211yescharacteristic, complemented
190#488×C79C2211yescharacteristic, complemented
191#488×C79C2211yescharacteristic, complemented
192#486×C79C2211yescharacteristic
193#478×C79C2211yescharacteristic, complemented
194#478×C79C2211yescharacteristic, complemented
195#477×C79C2211yescharacteristic, complemented
196#463×C79C2211yescharacteristic, complemented
197#463×C79C2211yescharacteristic, complemented
198#459×C79C2211yescharacteristic
199C8×Q8×C79C2211yescharacteristic, complemented
200C4×SD16×C79C2211yescharacteristic, complemented
201C4×D8×C79C2211yescharacteristic, complemented
202C4×D8×C79C2211yescharacteristic, complemented
203C2×#11929625C2311yescharacteristic
204C2×#11929624—21no—
205C2×D4×D79—21no—
206C2×D4×D79C2311yescharacteristic
207C2×D4×D79C2311yescharacteristic
208C22×C4×D79—21no—
209C2×#11929614C2311yescharacteristic
210C2×#11929613C2311yescharacteristic
211C2×#11929612C2311yescharacteristic
212C2×#11929612C2311yescharacteristic
213C2×#11929609C2311yescharacteristic
214C2×#11929607C2311yescharacteristic
215C2×#11929607C2311yescharacteristic
216C2×#11929607C2311yescharacteristic
217C2×#11929607C2311yescharacteristic
218C2×C8×D79C2311yescharacteristic
219C2×C8×D79C2311yescharacteristic
220#14579161C2311yescharacteristic
221#14579161C2311yescharacteristic
222#14579160—21no—
223#14579160C2311yescharacteristic
224#14579160C2311yescharacteristic
225#14579159—21no—
226#14579159—21no—
227#14579156—21no—
228#14579156—21no—
229#14579156—21no—
230#14579156—21no—
231#14579156D411yescharacteristic
232#14579156D411yescharacteristic
233#14579155—21no—
234#14579154—21no—
235#14579154—21no—
236#14579154—21no—
237#14579154—21no—
238#14579154—21no—
239#14579154—21no—
240#14579154—21no—
241#14579154—21no—
242#14579153C2311yescharacteristic
243#14579153C2311yescharacteristic
244#14579153C2311yescharacteristic
245#14579153C2311yescharacteristic
246#14579152—21no—
247#14579152—21no—
248#14579152D411yescharacteristic
249#14579152C2311yescharacteristic
250#14579151—21no—
251#14579151—21no—
252#14579151—21no—
253#14579151—21no—
254#14579151—21no—
255#14579150—21no—
256#14579150D411yescharacteristic
257#14579148C2311yescharacteristic
258#14579147—21no—
259#14579147—21no—
260#14579147—21no—
261#14579147—21no—
262#14579147—21no—
263#14579146—21no—
264#14579146—21no—
265#14579146—21no—
266#14579146D411yescharacteristic
267#14579146D411yescharacteristic
268#14579145—21no—
269#14579144—21no—
270#14579144—21no—
271#14579144—21no—
272#14579144—21no—
273#14579144—21no—
274#14579143—21no—
275#14579143—21no—
276#14579143—21no—
277#14579143—21no—
278#14579143—21no—
279#14579143—21no—
280#14579142—21no—
281#14579142—21no—
282#14579141—21no—
283#14579141C2311yescharacteristic
284#14579141C2311yescharacteristic
285#14579141C2311yescharacteristic
286#14579140—21no—
287#14579140—21no—
288#14579140—21no—
289#14579139—21no—
290#14579139—21no—
291#14579139—21no—
292#14579139—21no—
293#14579139—21no—
294#14579139—21no—
295#14579138—21no—
296#14579137—21no—
297#14579137—21no—
298#14579137D411yescharacteristic
299#14579137C2311yescharacteristic
300#14579137C2311yescharacteristic
301#14579136D411yescharacteristic
302#14579135—21no—
303#14579134—21no—
304#14579134—21no—
305#14579134—21no—
306#14579134—21no—
307#14579134—21no—
308#14579133—21no—
309#14579133—21no—
310#14579132—21no—
311#14579132C2311yescharacteristic
312#14579132C2311yescharacteristic
313#14579132C2311yescharacteristic
314#14579132C2311yescharacteristic
315#14579132C2311yescharacteristic
316#14579132C2311yescharacteristic
317#14579132C2311yescharacteristic
318#14579131—21no—
319#14579131—21no—
320#14579129—21no—
321#14579129—21no—
322Q8×Dic79—21no—
323Q8×Dic79C2311yescharacteristic
324C4×Dic158C2311yescharacteristic
325C4×Dic158C2311yescharacteristic
326C4×Dic158C2311yescharacteristic
327#14579126—21no—
328#14579126—21no—
329#14579126—21no—
330C4×D316—21no—
331C4×D316C2311yescharacteristic
332C4×D316C2311yescharacteristic
333C4×D316C2311yescharacteristic
334C4×D316C2311yescharacteristic
335C4×D316C2311yescharacteristic
336C4×D316C2311yescharacteristic
337D4×Dic79C2311yescharacteristic
338D4×Dic79C2311yescharacteristic
339#14579123—21no—
340#14579123C2311yescharacteristic
341C4×C22⋊D79—21no—
342C4×C22⋊D79—21no—
343C4×C22⋊D79—21no—
344C4×C22⋊D79—21no—
345C4×C22⋊D79—21no—
346C4×C22⋊D79—21no—
347(C22⋊D79)⋊C4—21no—
348(C22⋊D79)⋊C4—21no—
349(C22⋊D79)⋊C4—21no—
350#14579120—21no—
351#14579120—21no—
352#14579119—21no—
353#14579119—21no—
354#14579119C2311yescharacteristic
355#14579119C2311yescharacteristic
356#14579119C2311yescharacteristic
357#14579119C2311yescharacteristic
358#14579119C2311yescharacteristic
359#14579118—21no—
360#14579118—21no—
361#14579118C2311yescharacteristic
362#14579118C2311yescharacteristic
363#14579117—21no—
364C4⋊C4×D79—21no—
365C4⋊C4×D79—21no—
366C4⋊C4×D79C2311yescharacteristic
367C4⋊C4×D79C2311yescharacteristic
368C4⋊C4×D79C2311yescharacteristic
369C4⋊C4×D79C2311yescharacteristic
370C2×(C2×D79)⋊C4—21no—
371C22⋊C4×D79—21no—
372C22⋊C4×D79—21no—
373C22⋊C4×D79—21no—
374C22⋊C4×D79—21no—
375C42×D79C2311yescharacteristic
376#14579095C2311yescharacteristic
377#14579095C2311yescharacteristic
378#14579095C2311yescharacteristic
379#14579095C2311yescharacteristic
380#14579094C2311yescharacteristic
381#14579094C2311yescharacteristic
382#14579094C2311yescharacteristic
383#14579094C2311yescharacteristic
384#14579094C2311yescharacteristic
385#14579094C2311yescharacteristic
386#14579093C2311yescharacteristic
387#14579093C2311yescharacteristic
388#14579093C2311yescharacteristic
389#14579093C2311yescharacteristic
390#14579093C2311yescharacteristic
391#14579092C2311yescharacteristic
392#14579092C2311yescharacteristic
393#14579092C2311yescharacteristic
394#14579092C2311yescharacteristic
395#14579092C2311yescharacteristic
396#14579092C2311yescharacteristic
397C4⋊(C79⋊C8)C2311yescharacteristic
398C4⋊(C79⋊C8)C2311yescharacteristic
399C4⋊(C79⋊C8)C2311yescharacteristic
400Dic79⋊C8C2311yescharacteristic
401Dic79⋊C8C2311yescharacteristic
402Dic79⋊C8C2311yescharacteristic
403Dic79⋊C8C2311yescharacteristic
404#14579086C2311yescharacteristic
405#14579086C2311yescharacteristic
406#14579086C2311yescharacteristic
407#14579085C2311yescharacteristic
408#14579085C2311yescharacteristic
409#14579085C2311yescharacteristic
410#14579084C2311yescharacteristic
411#14579083C2311yescharacteristic
412#14579083C2311yescharacteristic
413#14579083C2311yescharacteristic
414#14579082C2311yescharacteristic
415#14579082C2311yescharacteristic
416#14579082C2311yescharacteristic
417#14579082C2311yescharacteristic
418#14579082C2311yescharacteristic
419#14579082C2311yescharacteristic
420#14579082C2311yescharacteristic
421#14579082C2311yescharacteristic
422#14579082C2311yescharacteristic
423#14579081C2311yescharacteristic
424#14579081C2311yescharacteristic
425#14579081C2311yescharacteristic
426(C2×D79)⋊C8C2311yescharacteristic
427(C2×D79)⋊C8C2311yescharacteristic
428(C2×D79)⋊C8C2311yescharacteristic
429(C2×D79)⋊C8C2311yescharacteristic
430(C2×D79)⋊C8C2311yescharacteristic
431(C2×D79)⋊C8C2311yescharacteristic
432#14579072C2311yescharacteristic
433#14579072C2311yescharacteristic
434C4×C79⋊C8C2311yescharacteristic
435C2×SD16×C79C2311yescharacteristic
436C2×D8×C79C2311yescharacteristic
437C2×D8×C79C2311yescharacteristic
438C4⋊Q8×C79C2311yescharacteristic
439#127×C79C2311yescharacteristic
440#125×C79C2311yescharacteristic
441#125×C79C2311yescharacteristic
442#124×C79—21no—
443#124×C79C2311yescharacteristic
444#124×C79C2311yescharacteristic
445#123×C79—21no—
446#123×C79—21no—
447C22⋊Q8×C79—21no—
448C22⋊Q8×C79—21no—
449C22⋊Q8×C79—21no—
450C4×Q8×C79C2311yescharacteristic
451C4×Q8×C79C2311yescharacteristic
452C4×D4×C79—21no—
453C4×D4×C79C2311yescharacteristic
454C4×D4×C79C2311yescharacteristic
455C4×D4×C79C2311yescharacteristic
456C4×D4×C79C2311yescharacteristic
457C4×D4×C79C2311yescharacteristic
458C2×C4⋊C4×C79—21no—
459#107×C79C2311yescharacteristic
460#107×C79C2311yescharacteristic
461#106×C79C2311yescharacteristic
462C4⋊C8×C79C2311yescharacteristic
463C4⋊C8×C79C2311yescharacteristic
464C4⋊C8×C79C2311yescharacteristic
465#103×C79C2311yescharacteristic
466#103×C79C2311yescharacteristic
467#103×C79C2311yescharacteristic
468#102×C79C2311yescharacteristic
469#102×C79C2311yescharacteristic
470#102×C79C2311yescharacteristic
471#102×C79C2311yescharacteristic
472#102×C79C2311yescharacteristic
473#102×C79C2311yescharacteristic
474#102×C79C2311yescharacteristic
475C4×C8×C79C2311yescharacteristic
476C4×C8×C79C2311yescharacteristic
477C4×C8×C79C2311yescharacteristic
478C23×D79—21no—
479C23×D79—21no—
480#11929625—22no—
481#11929625—41no—
482#11929624—82no—
483C2×Dic158—21no—
484C2×Dic158—21no—
485C2×Dic158—21no—
486C2×Dic158—21no—
487C2×Dic158C2411yescharacteristic
488C2×D316—21no—
489C2×D316C2×D411yescharacteristic
490C2×D316C2×D411yescharacteristic
491C2×D316C2×D411yescharacteristic
492C2×D316C2411yescharacteristic
493C2×C22⋊D79—21no—
494C2×C22⋊D79—21no—
495C2×C22⋊D79—21no—
496C2×C22⋊D79—21no—
497C2×C22⋊D79—21no—
498C2×C22⋊D79—21no—
499C2×C22⋊D79—21no—
500C2×C22⋊D79—21no—
501C2×C22⋊D79—21no—
502D4×D79—22no—
503D4×D79—22no—
504D4×D79—41no—
505D4×D79—41no—
506D4×D79—82no—
507C22×Dic79—21no—
508C22×Dic79—21no—
509C2×C4×D79—21no—
510C2×C4×D79—21no—
511C2×C4×D79—21no—
512C2×C4×D79—21no—
513C2×C4×D79—21no—
514C2×C4×D79—21no—
515C2×C4×D79—21no—
516C2×C4×D79—21no—
517C2×C4×D79—21no—
518C2×C4×D79—82no—
519C2×C4×D79C2×D411yescharacteristic
520C2×C4×D79C2×D411yescharacteristic
521C2×C4×D79C2411yescharacteristic
522C2×C4×D79C2411yescharacteristic
523C2×C4×D79C2411yescharacteristic
524#11929614—41no—
525#11929613—22no—
526#11929612—41no—
527#11929612—41no—
528#11929609—22no—
529#11929607—41no—
530#11929607—41no—
531#11929607—41no—
532#11929607—41no—
533C2×C79⋊C8C2411yescharacteristic
534C2×C79⋊C8C2411yescharacteristic
535C2×C79⋊C8C2411yescharacteristic
536C2×C79⋊C8C2411yescharacteristic
537C8×D79—41no—
538C8×D79—41no—
539C4⋊Dic79—21no—
540C4⋊Dic79—21no—
541C4⋊Dic79—21no—
542C4⋊Dic79—21no—
543C4⋊Dic79—21no—
544C4⋊Dic79—21no—
545C4⋊Dic79—21no—
546C4⋊Dic79C2×D411yescharacteristic
547C4⋊Dic79C2×D411yescharacteristic
548C4⋊Dic79C2×D411yescharacteristic
549C4⋊Dic79C2411yescharacteristic
550C4⋊Dic79C2411yescharacteristic
551C4⋊Dic79C2411yescharacteristic
552C4⋊Dic79C2411yescharacteristic
553C4⋊Dic79C2411yescharacteristic
554C4⋊Dic79C2411yescharacteristic
555Dic79⋊C4—21no—
556Dic79⋊C4—21no—
557Dic79⋊C4—21no—
558Dic79⋊C4—21no—
559Dic79⋊C4—21no—
560Dic79⋊C4—21no—
561Dic79⋊C4—21no—
562Dic79⋊C4—21no—
563Dic79⋊C4—21no—
564Dic79⋊C4—21no—
565Dic79⋊C4—21no—
566Dic79⋊C4—21no—
567Dic79⋊C4—21no—
568Dic79⋊C4—21no—
569Dic79⋊C4—21no—
570Dic79⋊C4—21no—
571Dic79⋊C4—21no—
572Dic79⋊C4—21no—
573Dic79⋊C4—21no—
574Dic79⋊C4—21no—
575Dic79⋊C4C2×D411yescharacteristic
576Dic79⋊C4C2×D411yescharacteristic
577Dic79⋊C4C2×D411yescharacteristic
578Dic79⋊C4C2×D411yescharacteristic
579C22⋊Dic79—21no—
580C22⋊Dic79—21no—
581C22⋊Dic79—21no—
582C22⋊Dic79—21no—
583C22⋊Dic79—21no—
584C22⋊Dic79—21no—
585C22⋊Dic79—21no—
586C22⋊Dic79—21no—
587C22⋊Dic79—21no—
588C22⋊Dic79—21no—
589C22⋊Dic79—21no—
590(C2×D79)⋊C4—21no—
591(C2×D79)⋊C4—21no—
592(C2×D79)⋊C4—21no—
593(C2×D79)⋊C4—21no—
594(C2×D79)⋊C4—21no—
595(C2×D79)⋊C4—21no—
596(C2×D79)⋊C4—21no—
597(C2×D79)⋊C4—21no—
598(C2×D79)⋊C4—21no—
599(C2×D79)⋊C4—21no—
600(C2×D79)⋊C4—21no—
601(C2×D79)⋊C4—21no—
602(C2×D79)⋊C4—21no—
603(C2×D79)⋊C4—21no—
604(C2×D79)⋊C4C2×D411yescharacteristic
605(C2×D79)⋊C4C2×D411yescharacteristic
606(C2×D79)⋊C4C2×D411yescharacteristic
607(C2×D79)⋊C4C2×D411yescharacteristic
608(C2×D79)⋊C4C2×D411yescharacteristic
609(C2×D79)⋊C4C2×D411yescharacteristic
610(C2×D79)⋊C4C2×D411yescharacteristic
611(C2×D79)⋊C4C2×D411yescharacteristic
612(C2×D79)⋊C4C2×D411yescharacteristic
613(C2×D79)⋊C4C2×D411yescharacteristic
614C4×Dic79—21no—
615C4×Dic79—21no—
616C4×Dic79—21no—
617C4×Dic79—21no—
618C4×Dic79—21no—
619C4×Dic79—21no—
620C4×Dic79—21no—
621C4×Dic79—21no—
622C4×Dic79—21no—
623C4×Dic79C2×D411yescharacteristic
624C4×Dic79C2×D411yescharacteristic
625C4×Dic79C2411yescharacteristic
626C2×Q8×C79—21no—
627C2×Q8×C79C2×D411yescharacteristic
628C2×Q8×C79C2411yescharacteristic
629C2×D4×C79—21no—
630C2×D4×C79—21no—
631C2×D4×C79C2411yescharacteristic
632C2×D4×C79C2411yescharacteristic
633C2×D4×C79C2411yescharacteristic
634C22×C4×C79—21no—
635C22×C4×C79—21no—
636C22×C4×C79—21no—
637C22×C4×C79—21no—
638C22×C4×C79—21no—
639SD16×C79—41no—
640D8×C79—41no—
641D8×C79—41no—
642C2×C8×C79C2411yescharacteristic
643C2×C8×C79C2411yescharacteristic
644C2×C8×C79C2411yescharacteristic
645C2×C8×C79C2411yescharacteristic
646C4⋊C4×C79—21no—
647C4⋊C4×C79—21no—
648C4⋊C4×C79—21no—
649C4⋊C4×C79—21no—
650C4⋊C4×C79—21no—
651C4⋊C4×C79—21no—
652C4⋊C4×C79C2×D411yescharacteristic
653C4⋊C4×C79C2×D411yescharacteristic
654C4⋊C4×C79C2×D411yescharacteristic
655C4⋊C4×C79C2411yescharacteristic
656C4⋊C4×C79C2411yescharacteristic
657C4⋊C4×C79C2411yescharacteristic
658C4⋊C4×C79C2411yescharacteristic
659C22⋊C4×C79—21no—
660C22⋊C4×C79—21no—
661C22⋊C4×C79—21no—
662C22⋊C4×C79—21no—
663C22⋊C4×C79—21no—
664C22⋊C4×C79—21no—
665C22⋊C4×C79—21no—
666C22⋊C4×C79—21no—
667C22⋊C4×C79—21no—
668C42×C79—21no—
669C42×C79C2411yescharacteristic
670C42×C79C2411yescharacteristic
671C42×C79C2411yescharacteristic
672C23×C79—21no—
673C23×C79—21no—
674C23×C79—21no—
675C22×D79—21no—
676C22×D79—42no—
677C22×D79—42no—
678C22×D79—42no—
679C22×D79—81no—
680C22×D79—81no—
681C22×D79—81no—
682C22×D79C22×D411yescharacteristic
683C22×D79C22×D411yescharacteristic
684C22×D79C22×D411yescharacteristic
685Q8×C79—21no—
686Q8×C79—21no—
687Q8×C79—41no—
688Q8×C79—81no—
689D4×C79—21no—
690D4×C79—21no—
691D4×C79—21no—
692D4×C79—21no—
693D4×C79—21no—
694D4×C79—21no—
695D4×C79—81no—
696D4×C79—81no—
697C2×C4×C79—21no—
698C2×C4×C79—21no—
699C2×C4×C79—21no—
700C2×C4×C79—21no—
701C2×C4×C79—21no—
702C2×C4×C79—81no—
703C2×C4×C79—81no—
704C2×C4×C79—81no—
705C2×C4×C79—81no—
706C2×C4×C79—81no—
707C2×C4×C79C22×D411yescharacteristic
708C2×C4×C79C22×D411yescharacteristic
709C2×C4×C79C22×D411yescharacteristic
710C2×C4×C79C22×D411yescharacteristic
711C2×C4×C79C22×D411yescharacteristic
712C2×C4×C79C22×D411yescharacteristic
713C2×C4×C79C2511yescharacteristic
714C22⋊D79—42no—
715C22⋊D79—42no—
716C22⋊D79—42no—
717C22⋊D79—81no—
718C22⋊D79—81no—
719C22⋊D79—81no—
720C22⋊D79—81no—
721C22⋊D79—81no—
722C22⋊D79—81no—
723C2×Dic79—21no—
724C2×Dic79—21no—
725C2×Dic79—21no—
726C2×Dic79—21no—
727C2×Dic79—21no—
728C2×Dic79—21no—
729C2×Dic79—21no—
730C2×Dic79—81no—
731C2×Dic79—81no—
732C2×Dic79C22×D411yescharacteristic
733C2×Dic79C22×D411yescharacteristic
734C2×Dic79C22×D411yescharacteristic
735C2×Dic79C22×D411yescharacteristic
736C2×Dic79C22×D411yescharacteristic
737D316—21no—
738D316—41no—
739D316—41no—
740D316—41no—
741D316—42no—
742D3162−1+412yes—
743C4×D79—21no—
744C4×D79—21no—
745C4×D79—21no—
746C4×D79—21no—
747C4×D79—21no—
748C4×D79—21no—
749C4×D79—41no—
750C4×D79—41no—
751C4×D79—42no—
752C4×D79—42no—
753C4×D79—81no—
754C4×D79—81no—
755C4×D79—81no—
756C4×D79—81no—
757C4×D79—81no—
758C4×D79—81no—
759C4×D79—81no—
760Dic158—21no—
761Dic158—21no—
762Dic158—81no—
763Dic158—81no—
764Dic158—81no—
765Dic158—81no—
766C8×C79—21no—
767C8×C79—21no—
768C8×C79—21no—
769C8×C79—21no—
770C79⋊C8—21no—
771C79⋊C8—21no—
772C79⋊C8—21no—
773C79⋊C8—21no—
774C22×C79—41no—
775C22×C79—41no—
776C22×C79—41no—
777C22×C79—41no—
778C22×C79—41no—
779C22×C79—41no—
780C22×C79—41no—
781C22×C79—41no—
782C22×C79—41no—
783C22×C79C23×D411yescharacteristic
784C2×D79—21no—
785C2×D79—21no—
786C2×D79—21no—
787C2×D79—21no—
788C2×D79—21no—
789C2×D79—21no—
790C2×D79—22no—
791C2×D79—21no—
792C2×D79—21no—
793C2×D79—21no—
794C2×D79—41no—
795C2×D79—41no—
796C2×D79—84no—
797C2×D79—162no—
798C4×C79—21no—
799C4×C79—21no—
800C4×C79—21no—
801C4×C79—21no—
802C4×C79—21no—
803C4×C79—21no—
804C4×C79—41no—
805C4×C79—41no—
806C4×C79—41no—
807C4×C79—41no—
808C4×C79—41no—
809C4×C79C2×2−1+411yescharacteristic
810C4×C79#58511yescharacteristic
811Dic79—21no—
812Dic79—21no—
813Dic79—21no—
814Dic79—21no—
815Dic79—21no—
816Dic79—41no—
817Dic79—41no—
818Dic79—41no—
819Dic79—41no—
820Dic79—41no—
821Dic79—41no—
822Dic79—41no—
823#62175—791nomaximal, Sylow
824C2×C79—81no—
825C2×C79—81no—
826C2×C79—81no—
827C2×C79#348911yescharacteristic
828C2×C79#358411yescharacteristic
829C2×C79#358511yescharacteristic
830D79—41no—
831D79—41no—
832D79—41no—
833D79—42no—
834#3565—791no—
835#3513—791no—
836#3389—791no—
837#3381—791no—
838#3371—791no—
839#3361D7911yescharacteristic, complemented
840#3354—791no—
841#3351—791no—
842#3351—791no—
843#3349—791no—
844#3343—791no—
845#3339—791no—
846#3324—791no—
847#3323—791no—
848#3322—791no—
849#3319—791no—
850#3318—791no—
851#3296—791no—
852#3262—791no—
853#3257—791no—
854#3256—791no—
855#3244—791no—
856#3241—791no—
857#3233—791no—
858#3125—791no—
859#3118—791no—
860#3105—791no—
861#3083—791no—
862#3081—791no—
863#3077—791no—
864#2993—791no—
865C79#6217511yescharacteristic, complemented, Sylow
866#563—1581no—
867#562—1581no—
868#559C2×D7911yescharacteristic
869#557—791no—
870#556—791no—
871#556—1581no—
872#555—791no—
873#554—791no—
874#554C2×D7911yescharacteristic, complemented
875#553—791no—
876#553—791no—
877#553—791no—
878#553—1581no—
879#552—791no—
880#552—791no—
881#552—791no—
882#552—1581no—
883#551—1581no—
884#551—1581no—
885#547—791no—
886#546—791no—
887#546—791no—
888#546—1581no—
889D42—791no—
890#544—791no—
891#544—791no—
892#542—791no—
893#542—791no—
894#542—791no—
895#542—1581no—
896#542—1581no—
897#541—1581no—
898#540—791no—
899#539—1581no—
900#539—1581no—
901#538—1581no—
902#533—791no—
903#529—791no—
904#529—791no—
905#529—791no—
906#525—1581no—
907C2×#123—1581no—
908#520—791no—
909#518—791no—
910C2×C4×D4—791no—
911#501—791no—
912#501—791no—
913#499—791no—
914#499—791no—
915#499—791no—
916#498—791no—
917#490—791no—
918#489—791no—
919#488—791no—
920#488C2×D7911yescharacteristic, complemented
921#488C2×D7911yescharacteristic, complemented
922#486C2×D7911yescharacteristic
923#485—791no—
924#485—791no—
925#485—791no—
926#485—791no—
927#484—791no—
928#483—791no—
929#483—791no—
930#482—791no—
931#482—791no—
932#482—791no—
933#482—791no—
934#482—791no—
935#482—791no—
936#481—791no—
937#481—791no—
938#481—791no—
939#481—791no—
940#480—791no—
941#479—791no—
942#479—791no—
943#479—791no—
944#479—791no—
945#478—791no—
946#478—791no—
947#478—791no—
948#478—791no—
949#478—791no—
950#478—791no—
951#478—791no—
952#478—791no—
953#478—791no—
954#478—791no—
955#478C2×D7911yescharacteristic, complemented
956#478C2×D7911yescharacteristic, complemented
957#477—791no—
958#477—791no—
959#477C2×D7911yescharacteristic, complemented
960#476—791no—
961#476—791no—
962#476—791no—
963#476—791no—
964#475—791no—
965#474—791no—
966#474—791no—
967#474—791no—
968#474—791no—
969#474—791no—
970#474—791no—
971#470—791no—
972#469—791no—
973#469—791no—
974#468—791no—
975#468—791no—
976#468—791no—
977#468—791no—
978#468—791no—
979#467—791no—
980#466—791no—
981#466—791no—
982#465—791no—
983#464—791no—
984#464—791no—
985#464—791no—
986#463—791no—
987#463—791no—
988#463—791no—
989#463C2×D7911yescharacteristic, complemented
990#463C2×D7911yescharacteristic, complemented
991#460—791no—
992#459C2×D7911yescharacteristic
993#452—791no—
994#450—791no—
995#450—791no—
996#449—791no—
997#447—791no—
998#447—791no—
999#446—791no—
1000C8×Q8C2×D7911yescharacteristic, complemented
1001#442—791no—
1002#442—791no—
1003#441—791no—
1004#440—791no—
1005C4×SD16—791no—
1006C4×SD16—791no—
1007C4×SD16—791no—
1008C4×SD16—791no—
1009C4×SD16C2×D7911yescharacteristic, complemented
1010C4×D8—791no—
1011C4×D8C2×D7911yescharacteristic, complemented
1012C4×D8C2×D7911yescharacteristic, complemented
1013#436—791no—
1014#436—791no—
1015#436—791no—
1016#435—791no—
1017#435—791no—
1018C8×D4—791no—
1019#433—791no—
1020#433—791no—
1021#431—791no—
1022#428—791no—
1023#428—791no—
1024#428—791no—
1025#428—791no—
1026#427—791no—
1027C2×#107—791no—
1028#424—791no—
1029#424—791no—
1030#423—791no—
1031#418—791no—
1032#418—791no—
1033#418—791no—
1034#417—791no—
1035#416—791no—
1036C2×#102—791no—
1037C2×#41—791no—
1038C2×#41—1581no—
1039C22×D4—791no—
1040C22×D4—791no—
1041C22×D4—1581no—
1042C23×C4—1581no—
1043C2×Q16—791no—
1044C2×SD16—791no—
1045C2×SD16—791no—
1046C2×SD16—791no—
1047C2×SD16C22×D7911yescharacteristic
1048C2×D8—791no—
1049C2×D8C22×D7911yescharacteristic
1050C2×D8C22×D7911yescharacteristic
1051C2×M16—791no—
1052C2×M16—791no—
1053C2×M16—791no—
1054C2×M16—791no—
1055C22×C8—791no—
1056C22×C8—791no—
1057C4⋊Q8—791no—
1058C4⋊Q8—791no—
1059C4⋊Q8—791no—
1060C4⋊Q8—791no—
1061C4⋊Q8—1581no—
1062C4⋊Q8—1581no—
1063C4⋊Q8—1581no—
1064C4⋊Q8C22×D7911yescharacteristic
1065#127C22×D7911yescharacteristic
1066#126—791no—
1067#126—791no—
1068#126—1581no—
1069#126—1581no—
1070#126—1581no—
1071#126—1581no—
1072#126—1581no—
1073#126—1581no—
1074#126—1581no—
1075#126—1581no—
1076#126—1581no—
1077#126—1581no—
1078#126—1581no—
1079#126—1581no—
1080#126—1581no—
1081#125—791no—
1082#125—791no—
1083#125—791no—
1084#125—791no—
1085#125—791no—
1086#125—791no—
1087#125—1581no—
1088#125—1581no—
1089#125—1581no—
1090#125—1581no—
1091#125—1581no—
1092#125—1581no—
1093#125—1581no—
1094#125C22×D7911yescharacteristic
1095#125C22×D7911yescharacteristic
1096#124—21no—
1097#124—791no—
1098#124—791no—
1099#124—1581no—
1100#124—1581no—
1101#124—1581no—
1102#124—1581no—
1103#124—1581no—
1104#124—1581no—
1105#124C22×D7911yescharacteristic
1106#124C22×D7911yescharacteristic
1107#123—21no—
1108#123—21no—
1109#123—791no—
1110#123—791no—
1111#123—1581no—
1112#123—1581no—
1113#123—1581no—
1114#123—1581no—
1115#123—1581no—
1116#123—1581no—
1117#123—1581no—
1118#123—1581no—
1119#123—1581no—
1120#123—1581no—
1121#123—1581no—
1122#123—1581no—
1123#123—1581no—
1124#123—1581no—
1125#123—1581no—
1126#123—1581no—
1127#123—1581no—
1128C22⋊Q8—21no—
1129C22⋊Q8—21no—
1130C22⋊Q8—21no—
1131C22⋊Q8—791no—
1132C22⋊Q8—791no—
1133C22⋊Q8—791no—
1134C22⋊Q8—791no—
1135C22⋊Q8—791no—
1136C22⋊Q8—791no—
1137C22⋊Q8—1581no—
1138C22⋊Q8—1581no—
1139C22⋊Q8—1581no—
1140C22⋊Q8—1581no—
1141C22⋊Q8—1581no—
1142C22⋊Q8—1581no—
1143C22⋊Q8—1581no—
1144C22⋊Q8—1581no—
1145C22⋊Q8—1581no—
1146C22⋊Q8—1581no—
1147C22⋊Q8—1581no—
1148C22⋊Q8—1581no—
1149C22⋊Q8—1581no—
1150#121—791no—
1151#121—791no—
1152#121—791no—
1153#121—791no—
1154#121—791no—
1155#121—791no—
1156#121—791no—
1157#121—791no—
1158#121—1581no—
1159#121—1581no—
1160#121—1581no—
1161#121—1581no—
1162#121—1581no—
1163#121—1581no—
1164#121—1581no—
1165#121—1581no—
1166#121—1581no—
1167#120—1581no—
1168#120—1581no—
1169#120—1581no—
1170#120—1581no—
1171C4×Q8—791no—
1172C4×Q8—791no—
1173C4×Q8—791no—
1174C4×Q8—791no—
1175C4×Q8—1581no—
1176C4×Q8—1581no—
1177C4×Q8—1581no—
1178C4×Q8—1581no—
1179C4×Q8C22×D7911yescharacteristic
1180C4×Q8C22×D7911yescharacteristic
1181C4×D4—21no—
1182C4×D4—791no—
1183C4×D4—791no—
1184C4×D4—791no—
1185C4×D4—791no—
1186C4×D4—791no—
1187C4×D4—791no—
1188C4×D4—791no—
1189C4×D4—791no—
1190C4×D4—791no—
1191C4×D4—1581no—
1192C4×D4—1581no—
1193C4×D4—1581no—
1194C4×D4—1581no—
1195C4×D4—1581no—
1196C4×D4—1581no—
1197C4×D4—1581no—
1198C4×D4—1581no—
1199C4×D4—1581no—
1200C4×D4—1581no—
1201C4×D4—1581no—
1202C4×D4C22×D7911yescharacteristic
1203C4×D4C22×D7911yescharacteristic
1204C4×D4C22×D7911yescharacteristic
1205C4×D4C22×D7911yescharacteristic
1206C4×D4C22×D7911yescharacteristic
1207#117—791no—
1208#117—791no—
1209#117—791no—
1210#117—791no—
1211#117—791no—
1212#117—791no—
1213#117—791no—
1214#117—1581no—
1215#117—1581no—
1216#117—1581no—
1217#117—1581no—
1218#117—1581no—
1219#117—1581no—
1220#117—1581no—
1221C2×C4⋊C4—21no—
1222C2×C4⋊C4—791no—
1223C2×C4⋊C4—791no—
1224C2×C4⋊C4—791no—
1225C2×C4⋊C4—791no—
1226C2×C4⋊C4—1581no—
1227C2×C4⋊C4—1581no—
1228C2×C22⋊C4—1581no—
1229C2×C22⋊C4—1581no—
1230C2×C22⋊C4—1581no—
1231C2×C22⋊C4—1581no—
1232C2×C22⋊C4—1581no—
1233C2×C42—791no—
1234#107—791no—
1235#107—791no—
1236#107—791no—
1237#107—791no—
1238#107—791no—
1239#107—791no—
1240#107—791no—
1241#107—791no—
1242#107—791no—
1243#107—791no—
1244#107C22×D7911yescharacteristic
1245#107C22×D7911yescharacteristic
1246#106—791no—
1247#106—791no—
1248#106—791no—
1249#106—791no—
1250#106—791no—
1251#106—791no—
1252#106—791no—
1253#106—791no—
1254#106—791no—
1255#106—791no—
1256#106—791no—
1257#106C22×D7911yescharacteristic
1258C4⋊C8—791no—
1259C4⋊C8—791no—
1260C4⋊C8—791no—
1261C4⋊C8—791no—
1262C4⋊C8—791no—
1263C4⋊C8—791no—
1264C4⋊C8—791no—
1265C4⋊C8C22×D7911yescharacteristic
1266C4⋊C8C22×D7911yescharacteristic
1267C4⋊C8C22×D7911yescharacteristic
1268#103—791no—
1269#103—791no—
1270#103—791no—
1271#103—791no—
1272#103—791no—
1273#103—791no—
1274#103—791no—
1275#103C22×D7911yescharacteristic
1276#103C22×D7911yescharacteristic
1277#103C22×D7911yescharacteristic
1278#102—791no—
1279#102—791no—
1280#102—791no—
1281#102—791no—
1282#102—791no—
1283#102—791no—
1284#102—791no—
1285#102—791no—
1286#102—791no—
1287#102—791no—
1288#102—791no—
1289#102—791no—
1290#102—791no—
1291#102—791no—
1292#102—791no—
1293#102C22×D7911yescharacteristic
1294#102C22×D7911yescharacteristic
1295#102C22×D7911yescharacteristic
1296#102C22×D7911yescharacteristic
1297#102C22×D7911yescharacteristic
1298#102C22×D7911yescharacteristic
1299#102C22×D7911yescharacteristic
1300C22⋊C8—791no—
1301C22⋊C8—791no—
1302C22⋊C8—791no—
1303C22⋊C8—791no—
1304C22⋊C8—791no—
1305C22⋊C8—791no—
1306#97—791no—
1307#97—791no—
1308C4×C8—791no—
1309C4×C8C22×D7911yescharacteristic
1310C4×C8C22×D7911yescharacteristic
1311C4×C8C22×D7911yescharacteristic
1312C24—1581no—
1313C24—1581no—
1314#41—3161no—
1315#41—6322no—
1316#41—1582no—
1317C2×Q8—21no—
1318C2×Q8—791no—
1319C2×Q8—1581no—
1320C2×Q8—1581no—
1321C2×Q8—1581no—
1322C2×Q8—1581no—
1323C2×Q8D4×D7911yescharacteristic
1324C2×Q8C23×D7911yescharacteristic
1325C2×D4—21no—
1326C2×D4—21no—
1327C2×D4—3161no—
1328C2×D4—3161no—
1329C2×D4—791no—
1330C2×D4—791no—
1331C2×D4—791no—
1332C2×D4—791no—
1333C2×D4—6322no—
1334C2×D4—1581no—
1335C2×D4—1581no—
1336C2×D4—1581no—
1337C2×D4—1582no—
1338C2×D4—1582no—
1339C2×D4—1581no—
1340C2×D4—1581no—
1341C2×D4—1581no—
1342C2×D4—1581no—
1343C2×D4—1581no—
1344C2×D4—1581no—
1345C2×D4—1581no—
1346C2×D4C23×D7911yescharacteristic
1347C2×D4C23×D7911yescharacteristic
1348C2×D4C23×D7911yescharacteristic
1349C22×C4—21no—
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4—21no—
1353C22×C4—21no—
1354C22×C4—791no—
1355C22×C4—791no—
1356C22×C4—791no—
1357C22×C4—791no—
1358C22×C4—791no—
1359C22×C4—6322no—
1360C22×C4—1581no—
1361C22×C4—1581no—
1362C22×C4—1581no—
1363C22×C4—1581no—
1364C22×C4—1581no—
1365C22×C4—1581no—
1366C22×C4—1581no—
1367C22×C4—1581no—
1368C22×C4—1581no—
1369C22×C4—1581no—
1370C22×C4—1581no—
1371Q16—3161no—
1372SD16—41no—
1373SD16—3161no—
1374SD16—3161no—
1375SD16—1582no—
1376D8—41no—
1377D8—41no—
1378D8—1582no—
1379M16—3161no—
1380M16—3161no—
1381M16—3161no—
1382M16—3161no—
1383C2×C8—3161no—
1384C2×C8—3161no—
1385C2×C8—791no—
1386C2×C8—791no—
1387C2×C8—791no—
1388C2×C8—791no—
1389C2×C8C23×D7911yescharacteristic
1390C2×C8C23×D7911yescharacteristic
1391C2×C8C23×D7911yescharacteristic
1392C2×C8C23×D7911yescharacteristic
1393C4⋊C4—21no—
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—791no—
1400C4⋊C4—791no—
1401C4⋊C4—791no—
1402C4⋊C4—791no—
1403C4⋊C4—791no—
1404C4⋊C4—791no—
1405C4⋊C4—791no—
1406C4⋊C4—791no—
1407C4⋊C4—791no—
1408C4⋊C4—791no—
1409C4⋊C4—791no—
1410C4⋊C4—791no—
1411C4⋊C4—791no—
1412C4⋊C4—1581no—
1413C4⋊C4—1581no—
1414C4⋊C4—1581no—
1415C4⋊C4—1581no—
1416C4⋊C4—1581no—
1417C4⋊C4—1581no—
1418C4⋊C4—1581no—
1419C4⋊C4—1581no—
1420C4⋊C4—1581no—
1421C4⋊C4—1581no—
1422C4⋊C4—1581no—
1423C4⋊C4—1581no—
1424C4⋊C4—1581no—
1425C4⋊C4—1581no—
1426C4⋊C4—1581no—
1427C4⋊C4—1581no—
1428C4⋊C4—1581no—
1429C4⋊C4—1581no—
1430C4⋊C4—1581no—
1431C4⋊C4—1581no—
1432C4⋊C4—1581no—
1433C4⋊C4—1581no—
1434C4⋊C4—1581no—
1435C4⋊C4—1581no—
1436C4⋊C4—1581no—
1437C4⋊C4—1581no—
1438C4⋊C4—1581no—
1439C4⋊C4D4×D7911yescharacteristic
1440C4⋊C4D4×D7911yescharacteristic
1441C4⋊C4D4×D7911yescharacteristic
1442C4⋊C4C23×D7911yescharacteristic
1443C4⋊C4C23×D7911yescharacteristic
1444C4⋊C4C23×D7911yescharacteristic
1445C4⋊C4C23×D7911yescharacteristic
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—21no—
1454C22⋊C4—21no—
1455C22⋊C4—791no—
1456C22⋊C4—791no—
1457C22⋊C4—791no—
1458C22⋊C4—791no—
1459C22⋊C4—791no—
1460C22⋊C4—791no—
1461C22⋊C4—791no—
1462C22⋊C4—791no—
1463C22⋊C4—791no—
1464C22⋊C4—791no—
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⋊C4—1581no—
1475C22⋊C4—1581no—
1476C22⋊C4—1581no—
1477C22⋊C4—1581no—
1478C22⋊C4—1581no—
1479C22⋊C4—1581no—
1480C22⋊C4—1581no—
1481C22⋊C4—1581no—
1482C22⋊C4—1581no—
1483C22⋊C4—1581no—
1484C22⋊C4—1581no—
1485C22⋊C4—1581no—
1486C22⋊C4—1581no—
1487C22⋊C4—1581no—
1488C22⋊C4—1581no—
1489C22⋊C4—1581no—
1490C42—21no—
1491C42—791no—
1492C42—791no—
1493C42—791no—
1494C42—1581no—
1495C42—1581no—
1496C42—1581no—
1497C42—1581no—
1498C42—1581no—
1499C42—1581no—
1500C42—1581no—
1501C42—1581no—
1502C42—1581no—
1503C42C23×D7911yescharacteristic
1504C42C23×D7911yescharacteristic
1505C42C23×D7911yescharacteristic
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—3162no—
1510C23—3162no—
1511C23—3162no—
1512C23—791no—
1513C23—791no—
1514C23—791no—
1515C23—6321no—
1516C23—6321no—
1517C23—6321no—
1518C23—1581no—
1519Q8—21no—
1520Q8—21no—
1521Q8—41no—
1522Q8—81no—
1523Q8—6321no—
1524Q8—6321no—
1525Q8—6321no—
1526Q8—6321no—
1527Q8—1581no—
1528Q8—1581no—
1529D4—21no—
1530D4—21no—
1531D4—21no—
1532D4—21no—
1533D4—21no—
1534D4—21no—
1535D4—81no—
1536D4—81no—
1537D4—3161no—
1538D4—3161no—
1539D4—3161no—
1540D4—3162no—
1541D4—3162no—
1542D4—3162no—
1543D4—3162no—
1544D4—792no—
1545D4—6321no—
1546D4—6321no—
1547D4—6321no—
1548D4—6321no—
1549D4—6321no—
1550D4—6321no—
1551D4—1581no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—81no—
1558C2×C4—81no—
1559C2×C4—81no—
1560C2×C4—81no—
1561C2×C4—81no—
1562C2×C4—3161no—
1563C2×C4—3161no—
1564C2×C4—3162no—
1565C2×C4—3162no—
1566C2×C4—791no—
1567C2×C4—791no—
1568C2×C4—791no—
1569C2×C4—791no—
1570C2×C4—791no—
1571C2×C4—6321no—
1572C2×C4—6321no—
1573C2×C4—6321no—
1574C2×C4—6321no—
1575C2×C4—6321no—
1576C2×C4—6321no—
1577C2×C4—6321no—
1578C2×C4—6321no—
1579C2×C4—6321no—
1580C2×C4—1581no—
1581C2×C4—1581no—
1582C2×C4—1581no—
1583C2×C4—1581no—
1584C2×C4—1581no—
1585C2×C4—1581no—
1586C2×C4—1581no—
1587C2×C4—1581no—
1588C2×C4—1581no—
1589C2×C4—1581no—
1590C2×C4—1581no—
1591C2×C4—1581no—
1592C2×C4—1581no—
1593C2×C4C2×D4×D7911yescharacteristic
1594C2×C4C2×D4×D7911yescharacteristic
1595C2×C4C2×D4×D7911yescharacteristic
1596C2×C4C2×D4×D7911yescharacteristic
1597C2×C4C2×D4×D7911yescharacteristic
1598C2×C4C2×D4×D7911yescharacteristic
1599C2×C4C24×D7911yescharacteristic
1600C8—21no—
1601C8—21no—
1602C8—21no—
1603C8—21no—
1604C8—1581no—
1605C8—1581no—
1606C8—1581no—
1607C8—1581no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—3161no—
1618C22—3161no—
1619C22—6324no—
1620C22—1582no—
1621C22—1581no—
1622C22—1581no—
1623C22—1581no—
1624C22—1581no—
1625C22—1581no—
1626C22—1581no—
1627C22—1581no—
1628C22—1581no—
1629C22—1581no—
1630C22—12642no—
1631C22C22×D4×D7911yescharacteristic
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—21no—
1637C4—21no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—3161no—
1644C4—3161no—
1645C4—3161no—
1646C4—3161no—
1647C4—3161no—
1648C4—3161no—
1649C4—3161no—
1650C4—1581no—
1651C4—1581no—
1652C4—1581no—
1653C4—1581no—
1654C4—1581no—
1655C42−1+4×D7911yescharacteristic
1656C4#1909939911yescharacteristic
1657C2—81no—
1658C2—81no—
1659C2—81no—
1660C2—3162no—
1661C2—3161no—
1662C2—3161no—
1663C2—3161no—
1664C2#2377707911yescharacteristic
1665C2#2377816911yescharacteristic
1666C2#2377817511yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3361C2
socleC22×C79C23×D4
hypercenter#3361D79
hypocenterC79#62175
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3361

Complements

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

NH ≅ G/Ntype
1. #23778043C2semidirect
2. #23777339C2semidirect
3. #23776354C2semidirect
4. #23776277C2semidirect
5. #23776162C2semidirect
6. #23775997C2semidirect
7. #23775967C2semidirect
8. #23775965C2semidirect
9. #23775927C2semidirect
10. #23775847C2semidirect
11. #23775804C2semidirect
12. #23775630C2semidirect
13. #23775615C2semidirect
14. #23775608C2semidirect
15. #23775563C2semidirect
16. #23775548C2semidirect
17. #23775234C2semidirect
18. #23774858C2semidirect
19. #23774807C2semidirect
20. #23774798C2semidirect
21. #23774691C2semidirect
22. #23774646C2semidirect
23. #23774574C2semidirect
24. #23773683C2semidirect
25. #23773580C2semidirect
26. #23773445C2semidirect
27. #23773248C2semidirect
28. #23773228C2semidirect
29. #23773195C2semidirect
30. #23772548C2semidirect
31. C79×#3361C2semidirect
34. #19099291C22semidirect
37. #19099278C22semidirect
41. #19099263C22semidirect
44. #19099251C22semidirect
45. #19099251C22semidirect
54. #19099193C22semidirect
55. #19099190C22semidirect
59. #19099178C22semidirect
60. #19099178C22semidirect
66. #19099119C22semidirect
68. #19099095C22semidirect
75. #19098973C22semidirect
76. #19098969C22semidirect
77. #19098965C22semidirect
78. #19098965C22semidirect
79. #19098962C22semidirect
80. #19098961C22semidirect
82. #19098922C22semidirect
83. #19098917C22semidirect
84. #19098906C22semidirect
85. #19098903C22semidirect
86. #19098902C22semidirect
87. #19098902C22semidirect
88. #19098900C22semidirect
89. #19098895C22semidirect
90. #19098892C22semidirect
93. #19098886C22semidirect
94. #19098886C22semidirect
96. #19098885C22semidirect
98. #19098880C22semidirect
99. #19098880C22semidirect
100. #19098880C22semidirect
101. #19098875C22semidirect
102. #19098871C22semidirect
103. #19098871C22semidirect
104. #19098870C22semidirect
105. #19098868C22semidirect
107. #19098865C22semidirect
110. #19098863C22semidirect
111. #19098863C22semidirect
112. #19098863C22semidirect
113. #19098861C22semidirect
116. #19098859C22semidirect
117. #19098856C22semidirect
118. #19098853C22semidirect
120. #19098851C22semidirect
121. #19098851C22semidirect
122. #19098846C22semidirect
124. #19098843C22semidirect
126. #19098841C22semidirect
127. #19098841C22semidirect
129. #19098820C22semidirect
131. #19098813C22semidirect
134. #19098808C22semidirect
135. #19098806C22semidirect
136. #19098806C22semidirect
137. #19098803C22semidirect
139. #19098796C22semidirect
140. #19098791C22semidirect
141. #19098783C22semidirect
142. #19098782C22semidirect
143. #19098782C22semidirect
145. #19098776C22semidirect
146. #19098776C22semidirect
154. #19098694C22semidirect
157. #19098668C22semidirect
158. #19098663C22semidirect
162. C4×#11929612C22semidirect
165. #19098642C22semidirect
166. #19098640C22semidirect
168. #19098633C22semidirect
169. C8×D316C22semidirect
170. #19098622C22semidirect
171. #19098622C22semidirect
172. #19098614C22semidirect
173. #19098604C22semidirect
174. #19098604C22semidirect
175. #19098602C22semidirect
176. #19098602C22semidirect
177. #19098600C22semidirect
178. #107×D79C22semidirect
179. #19098588C22semidirect
180. #19098588C22semidirect
181. #19098585C22semidirect
189. #554×C79C22semidirect
190. #488×C79C22semidirect
191. #488×C79C22semidirect
193. #478×C79C22semidirect
194. #478×C79C22semidirect
195. #477×C79C22semidirect
196. #463×C79C22semidirect
197. #463×C79C22semidirect
199. C8×Q8×C79C22semidirect
200. C4×SD16×C79C22semidirect
201. C4×D8×C79C22semidirect
202. C4×D8×C79C22semidirect
839. #3361D79semidirect
865. C79#62175semidirect
874. #554C2×D79semidirect
920. #488C2×D79semidirect
921. #488C2×D79semidirect
955. #478C2×D79semidirect
956. #478C2×D79semidirect
959. #477C2×D79semidirect
989. #463C2×D79semidirect
990. #463C2×D79semidirect
1000. C8×Q8C2×D79semidirect
1009. C4×SD16C2×D79semidirect
1011. C4×D8C2×D79semidirect
1012. C4×D8C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237780432
#237773392
#237763542
#237762772
#237761622
#237759972
#237759672
#237759652
#237759272
#237758472
#237758042
#237756302
#237756152
#237756082
#237755632
#237755482
#237752342
#237748582
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