Finite Group Databasebeta

← #35156637

Subgroups — #35156637

Order 20224.

2038 conjugacy classes of subgroups.

The subgroup lattice has 1736 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23776789C211yesmaximal, characteristic, complemented
2#23776599C211yesmaximal, characteristic, complemented
3#23773698C211yesmaximal, characteristic, complemented
4#23773689C211yesmaximal, characteristic, complemented
5#23773676C211yesmaximal, characteristic, complemented
6#23773674C211yesmaximal, characteristic, complemented
7#23773661C211yesmaximal, characteristic, complemented
8#23773659C211yesmaximal, characteristic, complemented
9#23773650C211yesmaximal, characteristic, complemented
10#23773641C211yesmaximal, characteristic, complemented
11#23773628C211yesmaximal, characteristic, complemented
12#23773626C211yesmaximal, characteristic, complemented
13#23773613C211yesmaximal, characteristic, complemented
14#23773611C211yesmaximal, characteristic, complemented
15#23773598C211yesmaximal, characteristic, complemented
16#23773596C211yesmaximal, characteristic, complemented
17#23773583C211yesmaximal, characteristic, complemented
18#23773581C211yesmaximal, characteristic, complemented
19#23773311C211yesmaximal, characteristic, complemented
20#23773311C211yesmaximal, characteristic, complemented
21#23773190C211yesmaximal, characteristic, complemented
22#23773188C211yesmaximal, characteristic, complemented
23#23772849C211yesmaximal, characteristic, complemented
24#23772614C211yesmaximal, characteristic, complemented
25#23772614C211yesmaximal, characteristic, complemented
26#23772201C211yesmaximal, characteristic, complemented
27#23772196C211yesmaximal, characteristic, complemented
28#135×Dic79C211yesmaximal, characteristic, complemented
29#23772168C211yesmaximal, characteristic, complemented
30C2×#19098623C211yesmaximal, characteristic, complemented
31C79×#3035C211yesmaximal, characteristic, complemented
32C2×#41×D79C2211yescharacteristic
33C2×#14579181C2211yescharacteristic
34C2×#14579181C2211yescharacteristic
35#19099182C2211yescharacteristic
36#19099182C2211yescharacteristic
37#19099182C2211yescharacteristic, complemented
38#19099182C2211yescharacteristic, complemented
39#19099174C2211yescharacteristic
40#19099174C2211yescharacteristic, complemented
41#19099167C2211yescharacteristic
42#19099167C2211yescharacteristic, complemented
43#19099158—21no—
44#19099158—21no—
45#19099150—21no—
46#19099150—21no—
47#19099120C2211yescharacteristic, complemented
48#19099093—21no—
49#19099093—21no—
50#19099093—21no—
51#19099093—21no—
52#19099070C2211yescharacteristic
53#19099070C2211yescharacteristic
54#19099045C2211yescharacteristic
55#19099045C2211yescharacteristic
56#19099042—21no—
57#19099042—21no—
58#19099042C2211yescharacteristic
59#19099042C2211yescharacteristic
60#19099039C2211yescharacteristic
61#19099039C2211yescharacteristic
62#19099035—21no—
63#19099035—21no—
64#19099035C2211yescharacteristic
65#19099035C2211yescharacteristic
66#41×Dic79C2211yescharacteristic
67#41×Dic79C2211yescharacteristic, complemented
68#41×Dic79C2211yescharacteristic, complemented
69C4×#11929624—21no—
70C4×#11929624C2211yescharacteristic
71#19099031—21no—
72#19099031C2211yescharacteristic
73C2×#14579118—21no—
74C2×#14579118C2211yescharacteristic
75#117×D79—21no—
76#117×D79C2211yescharacteristic
77#19098903C2211yescharacteristic
78#19098903C2211yescharacteristic
79#19098902C2211yescharacteristic
80#19098902C2211yescharacteristic
81#19098897C2211yescharacteristic, complemented
82#19098897C2211yescharacteristic, complemented
83#19098892C2211yescharacteristic, complemented
84#19098892C2211yescharacteristic, complemented
85#19098886C2211yescharacteristic
86#19098886C2211yescharacteristic
87#19098885C2211yescharacteristic
88#19098885C2211yescharacteristic
89#19098880C2211yescharacteristic, complemented
90#19098880C2211yescharacteristic, complemented
91#19098875C2211yescharacteristic, complemented
92#19098875C2211yescharacteristic, complemented
93#19098871C2211yescharacteristic, complemented
94#19098871C2211yescharacteristic, complemented
95#19098870C2211yescharacteristic, complemented
96#19098870C2211yescharacteristic, complemented
97#19098864C2211yescharacteristic, complemented
98#19098864C2211yescharacteristic, complemented
99#19098863C2211yescharacteristic, complemented
100#19098863C2211yescharacteristic, complemented
101#19098859C2211yescharacteristic, complemented
102#19098858C2211yescharacteristic, complemented
103#19098854C2211yescharacteristic, complemented
104#19098853C2211yescharacteristic, complemented
105#19098849C2211yescharacteristic, complemented
106#19098848C2211yescharacteristic, complemented
107#19098844C2211yescharacteristic, complemented
108#19098843C2211yescharacteristic, complemented
109#19098782C2211yescharacteristic, complemented
110#19098782C2211yescharacteristic, complemented
111#19098775C2211yescharacteristic, complemented
112#19098775C2211yescharacteristic, complemented
113#19098770C2211yescharacteristic, complemented
114#19098765C2211yescharacteristic, complemented
115#19098760C2211yescharacteristic, complemented
116#19098755C2211yescharacteristic, complemented
117#19098724C2211yescharacteristic
118#19098724C2211yescharacteristic
119#19098722C2211yescharacteristic
120#19098722C2211yescharacteristic
121#19098717C2211yescharacteristic
122#19098717C2211yescharacteristic
123#19098712C2211yescharacteristic
124#19098712C2211yescharacteristic
125#19098707C2211yescharacteristic
126#19098707C2211yescharacteristic
127#19098705C2211yescharacteristic
128#19098705C2211yescharacteristic
129#19098700C2211yescharacteristic
130#19098700C2211yescharacteristic
131#19098695C2211yescharacteristic
132#19098695C2211yescharacteristic
133#19098675C2211yescharacteristic, complemented
134#19098675C2211yescharacteristic, complemented
135#19098672C2211yescharacteristic, complemented
136#19098672C2211yescharacteristic, complemented
137#19098670C2211yescharacteristic, complemented
138#19098670C2211yescharacteristic, complemented
139#19098667C2211yescharacteristic, complemented
140#19098667C2211yescharacteristic, complemented
141#19098666C2211yescharacteristic, complemented
142#19098666C2211yescharacteristic, complemented
143#19098664C2211yescharacteristic, complemented
144#19098664C2211yescharacteristic, complemented
145#19098664C2211yescharacteristic, complemented
146#19098664C2211yescharacteristic, complemented
147#19098660C2211yescharacteristic, complemented
148#19098660C2211yescharacteristic, complemented
149Q16×Dic79C2211yescharacteristic, complemented
150Q16×Dic79C2211yescharacteristic, complemented
151#19098655C2211yescharacteristic, complemented
152#19098655C2211yescharacteristic, complemented
153#19098654C2211yescharacteristic, complemented
154#19098654C2211yescharacteristic, complemented
155SD16×Dic79C2211yescharacteristic, complemented
156SD16×Dic79C2211yescharacteristic, complemented
157SD16×Dic79C2211yescharacteristic, complemented
158SD16×Dic79C2211yescharacteristic, complemented
159#19098648C2211yescharacteristic, complemented
160#19098648C2211yescharacteristic, complemented
161D8×Dic79C2211yescharacteristic, complemented
162D8×Dic79C2211yescharacteristic, complemented
163#19098643C2211yescharacteristic, complemented
164#19098643C2211yescharacteristic, complemented
165#19098623C2211yescharacteristic
166#19098623C2211yescharacteristic
167#19098623C2211yescharacteristic
168#19098623C2211yescharacteristic
169#19098623C2211yescharacteristic, complemented
170#19098623C2211yescharacteristic, complemented
171#19098623C2211yescharacteristic, complemented
172#19098623C2211yescharacteristic, complemented
173#19098601C2211yescharacteristic, complemented
174#19098601C2211yescharacteristic, complemented
175#19098599C2211yescharacteristic, complemented
176#19098599C2211yescharacteristic, complemented
177C2×C4⋊(C79⋊C8)C2211yescharacteristic, complemented
178#19098560C2211yescharacteristic
179#19098560C2211yescharacteristic
180#19098559C2211yescharacteristic
181#19098559C2211yescharacteristic
182#19098559C2211yescharacteristic, complemented
183#19098559C2211yescharacteristic, complemented
184C2×(C2×D79)⋊C8C2211yescharacteristic
185C2×(C2×D79)⋊C8C2211yescharacteristic
186C2×#14579071C2211yescharacteristic, complemented
187C2×C8×Dic79C2211yescharacteristic, complemented
188C2×#135×C79C2211yescharacteristic
189C2×#135×C79C2211yescharacteristic
190#532×C79C2211yescharacteristic, complemented
191C4×#41×C79C2211yescharacteristic
192#464×C79C2211yescharacteristic, complemented
193#464×C79C2211yescharacteristic, complemented
194#463×C79C2211yescharacteristic, complemented
195#463×C79C2211yescharacteristic, complemented
196#462×C79C2211yescharacteristic, complemented
197#461×C79C2211yescharacteristic, complemented
198#460×C79C2211yescharacteristic, complemented
199#459×C79C2211yescharacteristic, complemented
200C2×C4⋊C8×C79C2211yescharacteristic, complemented
201#416×C79C2211yescharacteristic, complemented
202#416×C79C2211yescharacteristic, complemented
203C2×#11929625C2311yescharacteristic
204C2×#11929624—21no—
205C2×#11929624C2311yescharacteristic
206C2×#11929623—21no—
207C2×#11929623C2311yescharacteristic
208#41×D79—24no—
209#41×D79—24no—
210C2×Q8×D79C2311yescharacteristic
211C2×D4×D79—21no—
212C2×D4×D79C2311yescharacteristic
213C22×C4×D79—21no—
214C22×C4×D79C2311yescharacteristic
215#14579181—24no—
216#14579181—24no—
217C2×#11929614C2311yescharacteristic
218C2×#11929614C2311yescharacteristic
219C2×#11929612C2311yescharacteristic
220C2×#11929612C2311yescharacteristic
221C2×#11929611C2311yescharacteristic
222C2×#11929611C2311yescharacteristic
223C2×#11929609C2311yescharacteristic
224C2×#11929609C2311yescharacteristic
225C22×C79⋊C8C2311yescharacteristic
226C22×C79⋊C8C2311yescharacteristic
227#14579161C2311yescharacteristic
228#14579161C2311yescharacteristic
229#14579156—21no—
230#14579156—21no—
231#14579156—21no—
232#14579156—21no—
233#14579154—21no—
234#14579154—21no—
235#14579154—21no—
236#14579154—21no—
237#14579153C2311yescharacteristic
238#14579153C2311yescharacteristic
239#14579151—21no—
240#14579151—21no—
241#14579151—21no—
242#14579151—21no—
243#14579147—21no—
244#14579147—21no—
245#14579147—21no—
246#14579147—21no—
247#14579145—21no—
248#14579145—21no—
249#14579145—21no—
250#14579145—21no—
251#14579142—21no—
252#14579142—21no—
253#14579142—21no—
254#14579142—21no—
255#14579142—21no—
256#14579142—21no—
257#14579140—21no—
258#14579140—21no—
259#14579138—21no—
260#14579138—21no—
261#14579138—21no—
262#14579138—21no—
263#14579137C2311yescharacteristic
264#14579137C2311yescharacteristic
265#14579137C2311yescharacteristic
266#14579137C2311yescharacteristic
267#14579133—21no—
268#14579133—21no—
269#14579133—21no—
270#14579133—21no—
271#14579132C2311yescharacteristic
272#14579132C2311yescharacteristic
273#14579132C2311yescharacteristic
274#14579132C2311yescharacteristic
275#14579129—21no—
276#14579129—21no—
277Q8×Dic79C2311yescharacteristic
278Q8×Dic79C2311yescharacteristic
279Q8×Dic79C2311yescharacteristic
280Q8×Dic79C2311yescharacteristic
281Q8×Dic79C2311yescharacteristic
282Q8×Dic79C2311yescharacteristic
283C4×Dic158—21no—
284C4×Dic158—21no—
285C4×Dic158—21no—
286C4×Dic158—21no—
287C4×Dic158C2311yescharacteristic
288C4×Dic158C2311yescharacteristic
289#14579126—21no—
290#14579126—21no—
291#14579126C2311yescharacteristic
292#14579126C2311yescharacteristic
293C4×D316—21no—
294C4×D316—21no—
295C4×D316C2311yescharacteristic
296C4×D316C2311yescharacteristic
297D4×Dic79—21no—
298D4×Dic79—21no—
299D4×Dic79—21no—
300D4×Dic79—21no—
301D4×Dic79—21no—
302D4×Dic79—21no—
303D4×Dic79C2311yescharacteristic
304D4×Dic79C2311yescharacteristic
305D4×Dic79C2311yescharacteristic
306D4×Dic79C2311yescharacteristic
307D4×Dic79C2311yescharacteristic
308D4×Dic79C2311yescharacteristic
309#14579123—21no—
310#14579123—21no—
311#14579123C2311yescharacteristic
312#14579123C2311yescharacteristic
313C4×C22⋊D79—21no—
314C4×C22⋊D79—21no—
315C4×C22⋊D79—21no—
316C4×C22⋊D79—21no—
317C4×C22⋊D79—21no—
318C4×C22⋊D79—21no—
319C4×C22⋊D79—21no—
320C4×C22⋊D79—21no—
321C4×C22⋊D79—21no—
322C4×C22⋊D79—21no—
323(C22⋊D79)⋊C4—21no—
324(C22⋊D79)⋊C4—21no—
325(C22⋊D79)⋊C4—21no—
326(C22⋊D79)⋊C4—21no—
327(C22⋊D79)⋊C4—21no—
328(C22⋊D79)⋊C4—21no—
329#14579120—21no—
330#14579120—21no—
331#14579120—21no—
332#14579120C2311yescharacteristic
333#14579120C2311yescharacteristic
334#14579120C2311yescharacteristic
335#14579119—21no—
336#14579119—21no—
337#14579119C2311yescharacteristic
338#14579119C2311yescharacteristic
339#14579118—21no—
340#14579118—21no—
341#14579118—21no—
342#14579118—21no—
343#14579118—21no—
344#14579118—21no—
345#14579118—21no—
346#14579118D411yescharacteristic
347#14579118D411yescharacteristic
348#14579118D411yescharacteristic
349#14579118D411yescharacteristic
350#14579118C2311yescharacteristic
351#14579118C2311yescharacteristic
352#14579118C2311yescharacteristic
353#14579118C2311yescharacteristic
354#14579117—21no—
355#14579117—21no—
356#14579117—21no—
357C2×Dic79⋊C4—21no—
358C2×Dic79⋊C4—21no—
359C2×Dic79⋊C4D411yescharacteristic
360C2×Dic79⋊C4D411yescharacteristic
361C4⋊C4×D79—21no—
362C4⋊C4×D79—21no—
363C4⋊C4×D79C2311yescharacteristic
364C4⋊C4×D79C2311yescharacteristic
365C2×(C2×D79)⋊C4—21no—
366C2×(C2×D79)⋊C4—21no—
367C2×(C2×D79)⋊C4D411yescharacteristic
368C2×(C2×D79)⋊C4D411yescharacteristic
369C22⋊C4×D79—21no—
370C22⋊C4×D79—21no—
371C22⋊C4×D79—21no—
372C2×C4×Dic79—21no—
373C2×C4×Dic79—21no—
374C2×C4×Dic79—21no—
375C2×C4×Dic79C2311yescharacteristic
376C42×D79—21no—
377C42×D79—21no—
378C42×D79—21no—
379#14579095C2311yescharacteristic
380#14579095C2311yescharacteristic
381#14579095C2311yescharacteristic
382#14579095C2311yescharacteristic
383#14579094C2311yescharacteristic
384#14579094C2311yescharacteristic
385#14579094C2311yescharacteristic
386#14579094C2311yescharacteristic
387#14579093C2311yescharacteristic
388#14579093C2311yescharacteristic
389#14579093C2311yescharacteristic
390#14579093C2311yescharacteristic
391#14579092C2311yescharacteristic
392#14579092C2311yescharacteristic
393#14579092C2311yescharacteristic
394#14579092C2311yescharacteristic
395C4⋊(C79⋊C8)C2311yescharacteristic
396C4⋊(C79⋊C8)C2311yescharacteristic
397C4⋊(C79⋊C8)C2311yescharacteristic
398C4⋊(C79⋊C8)C2311yescharacteristic
399#14579086C2311yescharacteristic
400#14579086C2311yescharacteristic
401#14579086C2311yescharacteristic
402#14579086C2311yescharacteristic
403#14579085C2311yescharacteristic
404#14579085C2311yescharacteristic
405#14579085C2311yescharacteristic
406#14579085C2311yescharacteristic
407#14579085C2311yescharacteristic
408#14579085C2311yescharacteristic
409#14579085C2311yescharacteristic
410#14579085C2311yescharacteristic
411#14579083C2311yescharacteristic
412#14579083C2311yescharacteristic
413#14579083C2311yescharacteristic
414#14579083C2311yescharacteristic
415#14579082C2311yescharacteristic
416#14579082C2311yescharacteristic
417#14579082C2311yescharacteristic
418#14579082C2311yescharacteristic
419#14579082C2311yescharacteristic
420#14579082C2311yescharacteristic
421#14579082C2311yescharacteristic
422#14579082C2311yescharacteristic
423(C2×D79)⋊C8C2311yescharacteristic
424(C2×D79)⋊C8C2311yescharacteristic
425(C2×D79)⋊C8C2311yescharacteristic
426(C2×D79)⋊C8C2311yescharacteristic
427(C2×D79)⋊C8C2311yescharacteristic
428(C2×D79)⋊C8C2311yescharacteristic
429(C2×D79)⋊C8C2311yescharacteristic
430(C2×D79)⋊C8C2311yescharacteristic
431#14579071C2311yescharacteristic
432#14579071C2311yescharacteristic
433#14579071C2311yescharacteristic
434#14579071C2311yescharacteristic
435C8×Dic79C2311yescharacteristic
436C8×Dic79C2311yescharacteristic
437C8×Dic79C2311yescharacteristic
438C8×Dic79C2311yescharacteristic
439C2×#41×C79C2311yescharacteristic
440C2×#41×C79C2311yescharacteristic
441C2×#41×C79C2311yescharacteristic
442#135×C79—24no—
443#135×C79—24no—
444C2×Q16×C79C2311yescharacteristic
445C2×Q16×C79C2311yescharacteristic
446C2×SD16×C79C2311yescharacteristic
447C2×SD16×C79C2311yescharacteristic
448C2×SD16×C79C2311yescharacteristic
449C2×SD16×C79C2311yescharacteristic
450C2×D8×C79C2311yescharacteristic
451C2×D8×C79C2311yescharacteristic
452C22×C8×C79C2311yescharacteristic
453C22×C8×C79C2311yescharacteristic
454C4⋊Q8×C79C2311yescharacteristic
455#127×C79C2311yescharacteristic
456#124×C79C2311yescharacteristic
457#124×C79C2311yescharacteristic
458#121×C79—21no—
459#121×C79—21no—
460C4×Q8×C79C2311yescharacteristic
461C4×Q8×C79C2311yescharacteristic
462C4×D4×C79—21no—
463C4×D4×C79—21no—
464C4×D4×C79—21no—
465C4×D4×C79—21no—
466C4×D4×C79C2311yescharacteristic
467C4×D4×C79C2311yescharacteristic
468#117×C79—21no—
469#117×C79C2311yescharacteristic
470C2×C42×C79—21no—
471C2×C42×C79C2311yescharacteristic
472C4⋊C8×C79C2311yescharacteristic
473C4⋊C8×C79C2311yescharacteristic
474C4⋊C8×C79C2311yescharacteristic
475C4⋊C8×C79C2311yescharacteristic
476#103×C79C2311yescharacteristic
477#103×C79C2311yescharacteristic
478#103×C79C2311yescharacteristic
479#103×C79C2311yescharacteristic
480#102×C79C2311yescharacteristic
481#102×C79C2311yescharacteristic
482#102×C79C2311yescharacteristic
483#102×C79C2311yescharacteristic
484C23×D79—21no—
485C23×D79C2×D411yescharacteristic
486#11929625—22no—
487#11929625—22no—
488#11929624—28no—
489#11929624—22no—
490#11929624#4114yes—
491#11929623—28no—
492#11929623—22no—
493#11929623—22no—
494C2×Dic158—21no—
495C2×Dic158—21no—
496C2×Dic158—21no—
497C2×Dic158C2411yescharacteristic
498Q8×D79—22no—
499Q8×D79—22no—
500C2×D316—21no—
501C2×D316C2411yescharacteristic
502C2×C22⋊D79—21no—
503C2×C22⋊D79—21no—
504C2×C22⋊D79—21no—
505C2×C22⋊D79—21no—
506C2×C22⋊D79—21no—
507C2×C22⋊D79—21no—
508C2×C22⋊D79—21no—
509D4×D79—28no—
510D4×D79—22no—
511D4×D79—22no—
512C22×Dic79—21no—
513C22×Dic79—21no—
514C22×Dic79—21no—
515C22×Dic79—21no—
516C22×Dic79—21no—
517C22×Dic79—21no—
518C22×Dic79—21no—
519C22×Dic79C2×D411yescharacteristic
520C22×Dic79C2×D411yescharacteristic
521C22×Dic79C2×D411yescharacteristic
522C2×C4×D79—28no—
523C2×C4×D79—21no—
524C2×C4×D79—21no—
525C2×C4×D79—21no—
526C2×C4×D79—21no—
527C2×C4×D79—21no—
528C2×C4×D79—21no—
529C2×C4×D79—21no—
530C2×C4×D79—21no—
531C2×C4×D79—21no—
532C2×C4×D79—22no—
533C2×C4×D79—22no—
534C2×C4×D79C2×D411yescharacteristic
535C2×C4×D79C2×D411yescharacteristic
536C2×C4×D79C2411yescharacteristic
537C2×C4×D79C2411yescharacteristic
538#11929614—22no—
539#11929614—22no—
540#11929612—22no—
541#11929612—22no—
542#11929611—22no—
543#11929611—22no—
544#11929609—22no—
545#11929609—22no—
546C2×C79⋊C8—22no—
547C2×C79⋊C8—22no—
548C2×C79⋊C8C2411yescharacteristic
549C2×C79⋊C8C2411yescharacteristic
550C2×C79⋊C8C2411yescharacteristic
551C2×C79⋊C8C2411yescharacteristic
552C4⋊Dic79—21no—
553C4⋊Dic79—21no—
554C4⋊Dic79—21no—
555C4⋊Dic79—21no—
556C4⋊Dic79—21no—
557C4⋊Dic79—21no—
558C4⋊Dic79—21no—
559C4⋊Dic79—21no—
560C4⋊Dic79C2411yescharacteristic
561C4⋊Dic79C2411yescharacteristic
562C4⋊Dic79C2411yescharacteristic
563C4⋊Dic79C2411yescharacteristic
564C4⋊Dic79C2411yescharacteristic
565C4⋊Dic79C2411yescharacteristic
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⋊C4—21no—
576Dic79⋊C4—21no—
577Dic79⋊C4—21no—
578Dic79⋊C4—21no—
579Dic79⋊C4—21no—
580Dic79⋊C4C2×D411yescharacteristic
581Dic79⋊C4C2×D411yescharacteristic
582Dic79⋊C4C2×D411yescharacteristic
583Dic79⋊C4C2×D411yescharacteristic
584Dic79⋊C4C2×D411yescharacteristic
585Dic79⋊C4C2×D411yescharacteristic
586Dic79⋊C4C2×D411yescharacteristic
587Dic79⋊C4C2×D411yescharacteristic
588C22⋊Dic79—21no—
589C22⋊Dic79—21no—
590C22⋊Dic79—21no—
591C22⋊Dic79—21no—
592C22⋊Dic79—21no—
593C22⋊Dic79—21no—
594C22⋊Dic79—21no—
595C22⋊Dic79—21no—
596C22⋊Dic79—21no—
597C22⋊Dic79—21no—
598C22⋊Dic79—21no—
599C22⋊Dic79—21no—
600C22⋊Dic79—21no—
601(C2×D79)⋊C4—21no—
602(C2×D79)⋊C4—21no—
603(C2×D79)⋊C4—21no—
604(C2×D79)⋊C4—21no—
605(C2×D79)⋊C4—21no—
606(C2×D79)⋊C4—21no—
607(C2×D79)⋊C4—21no—
608(C2×D79)⋊C4—21no—
609(C2×D79)⋊C4—21no—
610(C2×D79)⋊C4—21no—
611(C2×D79)⋊C4C2×D411yescharacteristic
612(C2×D79)⋊C4C2×D411yescharacteristic
613(C2×D79)⋊C4C2×D411yescharacteristic
614(C2×D79)⋊C4C2×D411yescharacteristic
615(C2×D79)⋊C4C2×D411yescharacteristic
616(C2×D79)⋊C4C2×D411yescharacteristic
617(C2×D79)⋊C4C2×D411yescharacteristic
618(C2×D79)⋊C4C2×D411yescharacteristic
619C4×Dic79—21no—
620C4×Dic79—21no—
621C4×Dic79—21no—
622C4×Dic79—21no—
623C4×Dic79—21no—
624C4×Dic79—21no—
625C4×Dic79—21no—
626C4×Dic79—21no—
627C4×Dic79—21no—
628C4×Dic79—21no—
629C4×Dic79—21no—
630C4×Dic79—21no—
631C4×Dic79—21no—
632C4×Dic79—21no—
633C4×Dic79—21no—
634C4×Dic79C2×D411yescharacteristic
635C4×Dic79C2×D411yescharacteristic
636C4×Dic79C2411yescharacteristic
637C4×Dic79C2411yescharacteristic
638#41×C79—22no—
639#41×C79—22no—
640#41×C79—22no—
641#41×C79—22no—
642#41×C79—22no—
643#41×C79#4114yes—
644C2×Q8×C79C2411yescharacteristic
645C2×Q8×C79C2411yescharacteristic
646C2×Q8×C79C2411yescharacteristic
647C2×D4×C79—21no—
648C2×D4×C79—21no—
649C2×D4×C79—21no—
650C2×D4×C79—21no—
651C2×D4×C79—21no—
652C2×D4×C79C2411yescharacteristic
653C2×D4×C79C2411yescharacteristic
654C2×D4×C79C2411yescharacteristic
655C22×C4×C79—21no—
656C22×C4×C79—21no—
657C22×C4×C79—21no—
658C22×C4×C79—21no—
659C22×C4×C79—21no—
660C22×C4×C79C2×D411yescharacteristic
661C22×C4×C79C2×D411yescharacteristic
662C22×C4×C79C2411yescharacteristic
663Q16×C79—22no—
664Q16×C79—22no—
665SD16×C79—22no—
666SD16×C79—22no—
667SD16×C79—22no—
668SD16×C79—22no—
669D8×C79—22no—
670D8×C79—22no—
671C2×C8×C79—22no—
672C2×C8×C79—22no—
673C2×C8×C79C2411yescharacteristic
674C2×C8×C79C2411yescharacteristic
675C2×C8×C79C2411yescharacteristic
676C2×C8×C79C2411yescharacteristic
677C4⋊C4×C79—21no—
678C4⋊C4×C79—21no—
679C4⋊C4×C79—21no—
680C4⋊C4×C79—21no—
681C4⋊C4×C79C2411yescharacteristic
682C4⋊C4×C79C2411yescharacteristic
683C22⋊C4×C79—21no—
684C22⋊C4×C79—21no—
685C22⋊C4×C79—21no—
686C22⋊C4×C79—21no—
687C22⋊C4×C79—21no—
688C22⋊C4×C79—21no—
689C22⋊C4×C79—21no—
690C42×C79—21no—
691C42×C79—21no—
692C42×C79—21no—
693C42×C79C2×D411yescharacteristic
694C42×C79C2×D411yescharacteristic
695C42×C79C2411yescharacteristic
696C42×C79C2411yescharacteristic
697C23×C79—21no—
698C23×C79—21no—
699C23×C79—21no—
700C23×C79C22×D411yescharacteristic
701C22×D79—21no—
702C22×D79—24no—
703C22×D79—22no—
704C22×D79—41no—
705C22×D79—41no—
706C22×D79—81no—
707C22×D79—81no—
708C22×D79C22×D411yescharacteristic
709C22×D79C22×D411yescharacteristic
710Q8×C79—21no—
711Q8×C79—21no—
712Q8×C79—21no—
713Q8×C79—21no—
714Q8×C79—21no—
715Q8×C79C2×#4112yes—
716D4×C79—24no—
717D4×C79—21no—
718D4×C79—21no—
719D4×C79—21no—
720D4×C79—21no—
721D4×C79—21no—
722D4×C79—42no—
723D4×C79—42no—
724D4×C79—81no—
725D4×C79—81no—
726D4×C79C2×#4112yes—
727C2×C4×C79—21no—
728C2×C4×C79—24no—
729C2×C4×C79—21no—
730C2×C4×C79—21no—
731C2×C4×C79—21no—
732C2×C4×C79—21no—
733C2×C4×C79—41no—
734C2×C4×C79—41no—
735C2×C4×C79—42no—
736C2×C4×C79—42no—
737C2×C4×C79—81no—
738C2×C4×C79—81no—
739C2×C4×C79C22×D411yescharacteristic
740C2×C4×C79C22×D411yescharacteristic
741C2×C4×C79C22×D411yescharacteristic
742C2×C4×C79C22×D411yescharacteristic
743C2×C4×C79C22×D411yescharacteristic
744C2×C4×C79C2×#4112yes—
745C2×C4×C79C2×#4112yes—
746C2×C4×C79C2511yescharacteristic
747C22⋊D79—24no—
748C22⋊D79—24no—
749C22⋊D79—24no—
750C22⋊D79—81no—
751C22⋊D79—81no—
752C22⋊D79—81no—
753C22⋊D79—81no—
754C2×Dic79—24no—
755C2×Dic79—22no—
756C2×Dic79—21no—
757C2×Dic79—21no—
758C2×Dic79—21no—
759C2×Dic79—21no—
760C2×Dic79—21no—
761C2×Dic79—21no—
762C2×Dic79—21no—
763C2×Dic79—41no—
764C2×Dic79—41no—
765C2×Dic79—81no—
766C2×Dic79—81no—
767C2×Dic79—81no—
768C2×Dic79—81no—
769C2×Dic79—81no—
770C2×Dic79—81no—
771C2×Dic79C22×D411yescharacteristic
772C2×Dic79C22×D411yescharacteristic
773C2×Dic79C22×D411yescharacteristic
774C2×Dic79C22×D411yescharacteristic
775C2×Dic79C22×D411yescharacteristic
776C2×Dic79C22×D411yescharacteristic
777D316—24no—
778D316—21no—
779D316C2×#4112yes—
780C4×D79—24no—
781C4×D79—24no—
782C4×D79—22no—
783C4×D79—24no—
784C4×D79—22no—
785C4×D79—21no—
786C4×D79—21no—
787C4×D79—21no—
788C4×D79—21no—
789C4×D79—81no—
790C4×D79—81no—
791C4×D79—81no—
792C4×D79—81no—
793C4×D79—81no—
794C4×D79—81no—
795Dic158—24no—
796Dic158—21no—
797Dic158—81no—
798Dic158—81no—
799Dic158C2×#4112yes—
800C8×C79—21no—
801C8×C79—21no—
802C8×C79—21no—
803C8×C79—21no—
804C79⋊C8—21no—
805C79⋊C8—21no—
806C79⋊C8—21no—
807C79⋊C8—21no—
808C22×C79—21no—
809C22×C79—21no—
810C22×C79—22no—
811C22×C79—41no—
812C22×C79—41no—
813C22×C79—41no—
814C22×C79—41no—
815C22×C79—41no—
816C22×C79—41no—
817C22×C79—41no—
818C22×C79—41no—
819C22×C79#52512yes—
820C22×C79C23×D411yescharacteristic
821C2×D79—21no—
822C2×D79—21no—
823C2×D79—21no—
824C2×D79—21no—
825C2×D79—22no—
826C2×D79—21no—
827C2×D79—21no—
828C2×D79—41no—
829C2×D79—41no—
830C2×D79—82no—
831C2×D79—84no—
832C4×C79—21no—
833C4×C79—21no—
834C4×C79—21no—
835C4×C79—21no—
836C4×C79—22no—
837C4×C79—41no—
838C4×C79—41no—
839C4×C79—41no—
840C4×C79—41no—
841C4×C79#52512yes—
842C4×C79C22×#4111yescharacteristic
843C4×C79C22×#4111yescharacteristic
844Dic79—21no—
845Dic79—21no—
846Dic79—21no—
847Dic79—21no—
848Dic79—21no—
849Dic79—22no—
850Dic79—21no—
851Dic79—41no—
852Dic79—41no—
853Dic79—41no—
854Dic79—41no—
855Dic79—41no—
856Dic79—41no—
857#60557—791nomaximal, Sylow
858C2×C79—22no—
859C2×C79—42no—
860C2×C79—81no—
861C2×C79—81no—
862C2×C79C2×#52511yescharacteristic
863C2×C79#358411yescharacteristic
864C2×C79#358411yescharacteristic
865D79—41no—
866D79—41no—
867D79—42no—
868#3455—791no—
869#3428—791no—
870#3127—791no—
871#3126—791no—
872#3125—791no—
873#3125—791no—
874#3124—791no—
875#3124—791no—
876#3123—791no—
877#3122—791no—
878#3121—791no—
879#3121—791no—
880#3120—791no—
881#3120—791no—
882#3119—791no—
883#3119—791no—
884#3118—791no—
885#3118—791no—
886#3091—791no—
887#3091—791no—
888#3076—791no—
889#3076—791no—
890#3035—791no—
891#3035D7911yescharacteristic, complemented
892#3002—791no—
893#3002—791no—
894#2943—791no—
895#2943—791no—
896C4×#135—791no—
897C4×#135—791no—
898C2×#433—791no—
899C79#6055711yescharacteristic, complemented, Sylow
900C22×#41—791no—
901C2×#135—791no—
902C2×#135—791no—
903C2×#135C2×D7911yescharacteristic
904C2×#135C2×D7911yescharacteristic
905#542—791no—
906#542—791no—
907#542—791no—
908#542—791no—
909#541—791no—
910#541—791no—
911#540—791no—
912#540—791no—
913#539—1581no—
914#539—1581no—
915#538—1581no—
916#538—1581no—
917#533—791no—
918#532C2×D7911yescharacteristic, complemented
919#529—1581no—
920#529—1581no—
921#529—1581no—
922#529—1581no—
923#525—791no—
924#525—791no—
925#520—791no—
926#520—791no—
927#520—791no—
928#520—791no—
929#520—1581no—
930#520—1581no—
931#519—791no—
932#519—791no—
933#518—791no—
934#518—791no—
935#518—1581no—
936#518—1581no—
937C4×#41—791no—
938C4×#41—791no—
939C4×#41—791no—
940C4×#41—791no—
941C4×#41—791no—
942C4×#41—1581no—
943C4×#41—1581no—
944C4×#41C2×D7911yescharacteristic
945C2×#117—791no—
946C2×#117—791no—
947C2×#117—1581no—
948C2×#117—1581no—
949#485—791no—
950#485—791no—
951#485—791no—
952#485—791no—
953#484—791no—
954#484—791no—
955#483—791no—
956#483—791no—
957#482—791no—
958#482—791no—
959#482—791no—
960#482—791no—
961#481—791no—
962#481—791no—
963#480—791no—
964#480—791no—
965#479—791no—
966#479—791no—
967#479—791no—
968#479—791no—
969#478—791no—
970#478—791no—
971#478—791no—
972#478—791no—
973#477—791no—
974#477—791no—
975#476—791no—
976#476—791no—
977#475—791no—
978#475—791no—
979#474—791no—
980#474—791no—
981#464—791no—
982#464—791no—
983#464C2×D7911yescharacteristic, complemented
984#464C2×D7911yescharacteristic, complemented
985#463—791no—
986#463—791no—
987#463C2×D7911yescharacteristic, complemented
988#463C2×D7911yescharacteristic, complemented
989#462—791no—
990#462C2×D7911yescharacteristic, complemented
991#461—791no—
992#461C2×D7911yescharacteristic, complemented
993#460—791no—
994#460C2×D7911yescharacteristic, complemented
995#459—791no—
996#459C2×D7911yescharacteristic, complemented
997#452—791no—
998#452—791no—
999#452—791no—
1000#452—791no—
1001#451—791no—
1002#451—791no—
1003#450—791no—
1004#450—791no—
1005#449—791no—
1006#449—791no—
1007#449—791no—
1008#449—791no—
1009#448—791no—
1010#448—791no—
1011#447—791no—
1012#447—791no—
1013#442—791no—
1014#442—791no—
1015#442—791no—
1016#442—791no—
1017#441—791no—
1018#441—791no—
1019#441—791no—
1020#441—791no—
1021#440—791no—
1022#440—791no—
1023#440—791no—
1024#440—791no—
1025#440—791no—
1026#440—791no—
1027#440—791no—
1028#440—791no—
1029C4×Q16—791no—
1030C4×Q16—791no—
1031C4×Q16—791no—
1032C4×Q16—791no—
1033C4×SD16—791no—
1034C4×SD16—791no—
1035C4×SD16—791no—
1036C4×SD16—791no—
1037C4×SD16—791no—
1038C4×SD16—791no—
1039C4×SD16—791no—
1040C4×SD16—791no—
1041C4×D8—791no—
1042C4×D8—791no—
1043C4×D8—791no—
1044C4×D8—791no—
1045#433—791no—
1046#433—791no—
1047#433—791no—
1048#433—791no—
1049#433—791no—
1050#433—791no—
1051#433—791no—
1052#433—791no—
1053#427—791no—
1054#427—791no—
1055#427—791no—
1056#427—791no—
1057C2×C4⋊C8—791no—
1058C2×C4⋊C8C2×D7911yescharacteristic, complemented
1059#416—791no—
1060#416—791no—
1061#416—791no—
1062#416—791no—
1063#416—791no—
1064#416—791no—
1065#416C2×D7911yescharacteristic, complemented
1066#416C2×D7911yescharacteristic, complemented
1067C2×C22⋊C8—791no—
1068C2×C22⋊C8—791no—
1069C2×#97—791no—
1070C2×C4×C8—791no—
1071C2×#41—791no—
1072C2×#41—791no—
1073C2×#41—791no—
1074C2×#41—1581no—
1075C2×#41—1581no—
1076C2×#41—1584no—
1077C2×#41—1584no—
1078C2×#41C22×D7911yescharacteristic
1079C2×#41C22×D7911yescharacteristic
1080C2×#41C22×D7911yescharacteristic
1081C22×Q8—791no—
1082C22×D4—791no—
1083C22×D4—1581no—
1084C23×C4—791no—
1085C23×C4—1581no—
1086#135—24no—
1087#135—24no—
1088#135—1584no—
1089#135—1584no—
1090C2×Q16—791no—
1091C2×Q16—791no—
1092C2×Q16C22×D7911yescharacteristic
1093C2×Q16C22×D7911yescharacteristic
1094C2×SD16—791no—
1095C2×SD16—791no—
1096C2×SD16—791no—
1097C2×SD16—791no—
1098C2×SD16C22×D7911yescharacteristic
1099C2×SD16C22×D7911yescharacteristic
1100C2×SD16C22×D7911yescharacteristic
1101C2×SD16C22×D7911yescharacteristic
1102C2×D8—791no—
1103C2×D8—791no—
1104C2×D8C22×D7911yescharacteristic
1105C2×D8C22×D7911yescharacteristic
1106C22×C8—791no—
1107C22×C8—791no—
1108C22×C8C22×D7911yescharacteristic
1109C22×C8C22×D7911yescharacteristic
1110C4⋊Q8—791no—
1111C4⋊Q8—791no—
1112C4⋊Q8C22×D7911yescharacteristic
1113#127C22×D7911yescharacteristic
1114#126—1581no—
1115#126—1581no—
1116#126—1581no—
1117#126—1581no—
1118#126—1581no—
1119#126—1581no—
1120#126—1581no—
1121#126—1581no—
1122#125—791no—
1123#125—791no—
1124#125—1581no—
1125#125—1581no—
1126#125—1581no—
1127#125—1581no—
1128#124—1581no—
1129#124—1581no—
1130#124—1581no—
1131#124—1581no—
1132#124C22×D7911yescharacteristic
1133#124C22×D7911yescharacteristic
1134#123—1581no—
1135#123—1581no—
1136#123—1581no—
1137#123—1581no—
1138#123—1581no—
1139#123—1581no—
1140#123—1581no—
1141#123—1581no—
1142#123—1581no—
1143#123—1581no—
1144C22⋊Q8—791no—
1145C22⋊Q8—791no—
1146C22⋊Q8—791no—
1147C22⋊Q8—791no—
1148C22⋊Q8—1581no—
1149C22⋊Q8—1581no—
1150C22⋊Q8—1581no—
1151C22⋊Q8—1581no—
1152C22⋊Q8—1581no—
1153C22⋊Q8—1581no—
1154#121—21no—
1155#121—21no—
1156#121—791no—
1157#121—791no—
1158#121—791no—
1159#121—791no—
1160#121—1581no—
1161#121—1581no—
1162#121—1581no—
1163#121—1581no—
1164#120—1581no—
1165#120—1581no—
1166C4×Q8—791no—
1167C4×Q8—791no—
1168C4×Q8—791no—
1169C4×Q8—791no—
1170C4×Q8—791no—
1171C4×Q8—791no—
1172C4×Q8—791no—
1173C4×Q8—791no—
1174C4×Q8—791no—
1175C4×Q8—791no—
1176C4×Q8—1581no—
1177C4×Q8—1581no—
1178C4×Q8—1581no—
1179C4×Q8—1581no—
1180C4×Q8—1581no—
1181C4×Q8—1581no—
1182C4×Q8C22×D7911yescharacteristic
1183C4×Q8C22×D7911yescharacteristic
1184C4×D4—21no—
1185C4×D4—21no—
1186C4×D4—21no—
1187C4×D4—21no—
1188C4×D4—791no—
1189C4×D4—791no—
1190C4×D4—791no—
1191C4×D4—791no—
1192C4×D4—791no—
1193C4×D4—791no—
1194C4×D4—791no—
1195C4×D4—791no—
1196C4×D4—791no—
1197C4×D4—791no—
1198C4×D4—1581no—
1199C4×D4—1581no—
1200C4×D4—1581no—
1201C4×D4—1581no—
1202C4×D4—1581no—
1203C4×D4—1581no—
1204C4×D4—1581no—
1205C4×D4—1581no—
1206C4×D4—1581no—
1207C4×D4—1581no—
1208C4×D4—1581no—
1209C4×D4—1581no—
1210C4×D4—1581no—
1211C4×D4—1581no—
1212C4×D4—1581no—
1213C4×D4—1581no—
1214C4×D4—1581no—
1215C4×D4—1581no—
1216C4×D4—1581no—
1217C4×D4—1581no—
1218C4×D4—1581no—
1219C4×D4—1581no—
1220C4×D4—1581no—
1221C4×D4—1581no—
1222C4×D4—1581no—
1223C4×D4—1581no—
1224C4×D4C22×D7911yescharacteristic
1225C4×D4C22×D7911yescharacteristic
1226#117—21no—
1227#117—791no—
1228#117—791no—
1229#117—791no—
1230#117—791no—
1231#117—791no—
1232#117—791no—
1233#117—791no—
1234#117—791no—
1235#117—791no—
1236#117—791no—
1237#117—791no—
1238#117—791no—
1239#117—791no—
1240#117—1581no—
1241#117—1581no—
1242#117—1581no—
1243#117—1581no—
1244#117—1581no—
1245#117—1581no—
1246#117—1581no—
1247#117—1581no—
1248#117—1581no—
1249#117—1581no—
1250#117—1581no—
1251#117—1581no—
1252#117—1581no—
1253#117—1581no—
1254#117—1581no—
1255#117C22×D7911yescharacteristic
1256C2×C4⋊C4—791no—
1257C2×C4⋊C4—791no—
1258C2×C4⋊C4—791no—
1259C2×C4⋊C4—791no—
1260C2×C4⋊C4—1581no—
1261C2×C4⋊C4—1581no—
1262C2×C4⋊C4—1581no—
1263C2×C4⋊C4—1581no—
1264C2×C22⋊C4—791no—
1265C2×C22⋊C4—791no—
1266C2×C22⋊C4—1581no—
1267C2×C22⋊C4—1581no—
1268C2×C22⋊C4—1581no—
1269C2×C22⋊C4—1581no—
1270C2×C22⋊C4—1581no—
1271C2×C42—21no—
1272C2×C42—791no—
1273C2×C42—1581no—
1274C2×C42—1581no—
1275C2×C42—1581no—
1276C2×C42—1581no—
1277C2×C42—1581no—
1278C2×C42—1581no—
1279C2×C42C22×D7911yescharacteristic
1280#107—791no—
1281#107—791no—
1282#107—791no—
1283#107—791no—
1284#107—791no—
1285#107—791no—
1286#107—791no—
1287#107—791no—
1288#106—791no—
1289#106—791no—
1290#106—791no—
1291#106—791no—
1292#106—791no—
1293#106—791no—
1294#106—791no—
1295#106—791no—
1296C4⋊C8—791no—
1297C4⋊C8—791no—
1298C4⋊C8—791no—
1299C4⋊C8—791no—
1300C4⋊C8C22×D7911yescharacteristic
1301C4⋊C8C22×D7911yescharacteristic
1302C4⋊C8C22×D7911yescharacteristic
1303C4⋊C8C22×D7911yescharacteristic
1304#103—791no—
1305#103—791no—
1306#103—791no—
1307#103—791no—
1308#103—791no—
1309#103—791no—
1310#103—791no—
1311#103—791no—
1312#103—791no—
1313#103—791no—
1314#103—791no—
1315#103—791no—
1316#103C22×D7911yescharacteristic
1317#103C22×D7911yescharacteristic
1318#103C22×D7911yescharacteristic
1319#103C22×D7911yescharacteristic
1320#102—791no—
1321#102—791no—
1322#102—791no—
1323#102—791no—
1324#102—791no—
1325#102—791no—
1326#102—791no—
1327#102—791no—
1328#102—791no—
1329#102—791no—
1330#102—791no—
1331#102—791no—
1332#102C22×D7911yescharacteristic
1333#102C22×D7911yescharacteristic
1334#102C22×D7911yescharacteristic
1335#102C22×D7911yescharacteristic
1336C22⋊C8—791no—
1337C22⋊C8—791no—
1338C22⋊C8—791no—
1339C22⋊C8—791no—
1340C22⋊C8—791no—
1341C22⋊C8—791no—
1342C22⋊C8—791no—
1343C22⋊C8—791no—
1344#97—791no—
1345#97—791no—
1346#97—791no—
1347#97—791no—
1348C4×C8—791no—
1349C4×C8—791no—
1350C4×C8—791no—
1351C4×C8—791no—
1352C24—791no—
1353C24—1581no—
1354#41—22no—
1355#41—22no—
1356#41—22no—
1357#41—22no—
1358#41—22no—
1359#41—794no—
1360#41—1588no—
1361#41—1582no—
1362#41—1588no—
1363#41—1582no—
1364#41—1582no—
1365#41—1582no—
1366#41—1582no—
1367#41#1192962314yes—
1368C2×Q8—791no—
1369C2×Q8—1581no—
1370C2×Q8—1582no—
1371C2×Q8—1582no—
1372C2×Q8—1581no—
1373C2×Q8—1581no—
1374C2×Q8C23×D7911yescharacteristic
1375C2×Q8C23×D7911yescharacteristic
1376C2×Q8C23×D7911yescharacteristic
1377C2×D4—21no—
1378C2×D4—21no—
1379C2×D4—21no—
1380C2×D4—21no—
1381C2×D4—21no—
1382C2×D4—791no—
1383C2×D4—1581no—
1384C2×D4—1581no—
1385C2×D4—1582no—
1386C2×D4—1588no—
1387C2×D4—1581no—
1388C2×D4—1581no—
1389C2×D4—1581no—
1390C2×D4—1581no—
1391C2×D4—1581no—
1392C2×D4—1581no—
1393C2×D4—1582no—
1394C2×D4C23×D7911yescharacteristic
1395C2×D4C23×D7911yescharacteristic
1396C2×D4C23×D7911yescharacteristic
1397C22×C4—21no—
1398C22×C4—21no—
1399C22×C4—21no—
1400C22×C4—21no—
1401C22×C4—21no—
1402C22×C4—791no—
1403C22×C4—791no—
1404C22×C4—791no—
1405C22×C4—791no—
1406C22×C4—791no—
1407C22×C4—791no—
1408C22×C4—791no—
1409C22×C4—1581no—
1410C22×C4—1581no—
1411C22×C4—1581no—
1412C22×C4—1581no—
1413C22×C4—1581no—
1414C22×C4—1581no—
1415C22×C4—1588no—
1416C22×C4—1581no—
1417C22×C4—1581no—
1418C22×C4—1581no—
1419C22×C4—1581no—
1420C22×C4—1581no—
1421C22×C4—1581no—
1422C22×C4—1581no—
1423C22×C4—1581no—
1424C22×C4—1581no—
1425C22×C4—1582no—
1426C22×C4—1582no—
1427C22×C4—1581no—
1428C22×C4D4×D7911yescharacteristic
1429C22×C4D4×D7911yescharacteristic
1430C22×C4C23×D7911yescharacteristic
1431Q16—22no—
1432Q16—22no—
1433Q16—1582no—
1434Q16—1582no—
1435SD16—22no—
1436SD16—22no—
1437SD16—22no—
1438SD16—22no—
1439SD16—1582no—
1440SD16—1582no—
1441SD16—1582no—
1442SD16—1582no—
1443D8—22no—
1444D8—22no—
1445D8—1582no—
1446D8—1582no—
1447C2×C8—22no—
1448C2×C8—22no—
1449C2×C8—791no—
1450C2×C8—791no—
1451C2×C8—791no—
1452C2×C8—791no—
1453C2×C8—1582no—
1454C2×C8—1582no—
1455C2×C8C23×D7911yescharacteristic
1456C2×C8C23×D7911yescharacteristic
1457C2×C8C23×D7911yescharacteristic
1458C2×C8C23×D7911yescharacteristic
1459C4⋊C4—21no—
1460C4⋊C4—21no—
1461C4⋊C4—21no—
1462C4⋊C4—21no—
1463C4⋊C4—791no—
1464C4⋊C4—791no—
1465C4⋊C4—791no—
1466C4⋊C4—791no—
1467C4⋊C4—791no—
1468C4⋊C4—791no—
1469C4⋊C4—791no—
1470C4⋊C4—791no—
1471C4⋊C4—791no—
1472C4⋊C4—791no—
1473C4⋊C4—791no—
1474C4⋊C4—791no—
1475C4⋊C4—791no—
1476C4⋊C4—791no—
1477C4⋊C4—1581no—
1478C4⋊C4—1581no—
1479C4⋊C4—1581no—
1480C4⋊C4—1581no—
1481C4⋊C4—1581no—
1482C4⋊C4—1581no—
1483C4⋊C4—1581no—
1484C4⋊C4—1581no—
1485C4⋊C4—1581no—
1486C4⋊C4—1581no—
1487C4⋊C4—1581no—
1488C4⋊C4—1581no—
1489C4⋊C4—1581no—
1490C4⋊C4—1581no—
1491C4⋊C4—1581no—
1492C4⋊C4—1581no—
1493C4⋊C4—1581no—
1494C4⋊C4—1581no—
1495C4⋊C4—1581no—
1496C4⋊C4—1581no—
1497C4⋊C4—1581no—
1498C4⋊C4—1581no—
1499C4⋊C4C23×D7911yescharacteristic
1500C4⋊C4C23×D7911yescharacteristic
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—21no—
1507C22⋊C4—21no—
1508C22⋊C4—791no—
1509C22⋊C4—791no—
1510C22⋊C4—791no—
1511C22⋊C4—791no—
1512C22⋊C4—791no—
1513C22⋊C4—791no—
1514C22⋊C4—791no—
1515C22⋊C4—791no—
1516C22⋊C4—1581no—
1517C22⋊C4—1581no—
1518C22⋊C4—1581no—
1519C22⋊C4—1581no—
1520C22⋊C4—1581no—
1521C22⋊C4—1581no—
1522C22⋊C4—1581no—
1523C22⋊C4—1581no—
1524C22⋊C4—1581no—
1525C22⋊C4—1581no—
1526C22⋊C4—1581no—
1527C22⋊C4—1581no—
1528C22⋊C4—1581no—
1529C22⋊C4—1581no—
1530C22⋊C4—1581no—
1531C22⋊C4—1581no—
1532C22⋊C4—1581no—
1533C22⋊C4—1581no—
1534C22⋊C4—1581no—
1535C22⋊C4—1581no—
1536C22⋊C4—1581no—
1537C22⋊C4—1581no—
1538C22⋊C4—1581no—
1539C42—21no—
1540C42—21no—
1541C42—21no—
1542C42—791no—
1543C42—791no—
1544C42—791no—
1545C42—791no—
1546C42—1581no—
1547C42—1581no—
1548C42—1581no—
1549C42—1581no—
1550C42—1581no—
1551C42—1581no—
1552C42—1581no—
1553C42—1581no—
1554C42—1581no—
1555C42—1581no—
1556C42—1581no—
1557C42—1581no—
1558C42—1581no—
1559C42—1581no—
1560C42—1581no—
1561C42D4×D7911yescharacteristic
1562C42D4×D7911yescharacteristic
1563C42C23×D7911yescharacteristic
1564C42C23×D7911yescharacteristic
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—3161no—
1569C23—3161no—
1570C23—791no—
1571C23—791no—
1572C23—6321no—
1573C23—6321no—
1574C23—1584no—
1575C23—1581no—
1576C23—1582no—
1577C23C2×D4×D7911yescharacteristic
1578Q8—21no—
1579Q8—21no—
1580Q8—21no—
1581Q8—21no—
1582Q8—21no—
1583Q8—792no—
1584Q8—6321no—
1585Q8—6321no—
1586Q8—1584no—
1587Q8—1581no—
1588Q8C2×#1192962312yes—
1589D4—24no—
1590D4—21no—
1591D4—21no—
1592D4—21no—
1593D4—21no—
1594D4—21no—
1595D4—42no—
1596D4—42no—
1597D4—81no—
1598D4—81no—
1599D4—792no—
1600D4—6321no—
1601D4—6321no—
1602D4—6321no—
1603D4—6321no—
1604D4—1584no—
1605D4—1584no—
1606D4—1584no—
1607D4—1584no—
1608D4—1581no—
1609D4C2×#1192962312yes—
1610C2×C4—21no—
1611C2×C4—24no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—41no—
1617C2×C4—41no—
1618C2×C4—42no—
1619C2×C4—42no—
1620C2×C4—81no—
1621C2×C4—81no—
1622C2×C4—3161no—
1623C2×C4—3161no—
1624C2×C4—791no—
1625C2×C4—791no—
1626C2×C4—791no—
1627C2×C4—791no—
1628C2×C4—791no—
1629C2×C4—791no—
1630C2×C4—6321no—
1631C2×C4—6321no—
1632C2×C4—6321no—
1633C2×C4—6321no—
1634C2×C4—6321no—
1635C2×C4—6321no—
1636C2×C4—6321no—
1637C2×C4—6321no—
1638C2×C4—6321no—
1639C2×C4—6321no—
1640C2×C4—6321no—
1641C2×C4—6321no—
1642C2×C4—1584no—
1643C2×C4—1584no—
1644C2×C4—1581no—
1645C2×C4—1581no—
1646C2×C4—1581no—
1647C2×C4—1581no—
1648C2×C4—1581no—
1649C2×C4—1581no—
1650C2×C4—1584no—
1651C2×C4—1582no—
1652C2×C4—1581no—
1653C2×C4—1582no—
1654C2×C4—1582no—
1655C2×C4—1584no—
1656C2×C4—1581no—
1657C2×C4—1581no—
1658C2×C4—1581no—
1659C2×C4—1581no—
1660C2×C4C2×D4×D7911yescharacteristic
1661C2×C4C2×D4×D7911yescharacteristic
1662C2×C4C2×D4×D7911yescharacteristic
1663C2×C4C2×D4×D7911yescharacteristic
1664C2×C4C2×D4×D7911yescharacteristic
1665C2×C4#41×D7912yes—
1666C2×C4C2×#1192962312yes—
1667C2×C4C24×D7911yescharacteristic
1668C8—21no—
1669C8—21no—
1670C8—21no—
1671C8—21no—
1672C8—1581no—
1673C8—1581no—
1674C8—1581no—
1675C8—1581no—
1676C22—21no—
1677C22—21no—
1678C22—22no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—3161no—
1688C22—3161no—
1689C22—6322no—
1690C22—6324no—
1691C22—1581no—
1692C22—1581no—
1693C22—1581no—
1694C22—1581no—
1695C22—1581no—
1696C22—1582no—
1697C22—1581no—
1698C22#1909907312yes—
1699C22C22×D4×D7911yescharacteristic
1700C4—21no—
1701C4—21no—
1702C4—21no—
1703C4—21no—
1704C4—22no—
1705C4—41no—
1706C4—41no—
1707C4—41no—
1708C4—41no—
1709C4—3161no—
1710C4—3161no—
1711C4—3161no—
1712C4—3161no—
1713C4—3161no—
1714C4—3161no—
1715C4—1581no—
1716C4—1581no—
1717C4—1581no—
1718C4—1581no—
1719C4—1581no—
1720C4—1581no—
1721C4—1582no—
1722C4#1909907312yes—
1723C4C2×#41×D7911yescharacteristic
1724C4C22×#1192962311yescharacteristic
1725C2—22no—
1726C2—42no—
1727C2—81no—
1728C2—81no—
1729C2—3162no—
1730C2—3161no—
1731C2—3161no—
1732C2C2×#1909907311yescharacteristic
1733C2#2377816911yescharacteristic
1734C2#2377817311yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3035C2
socleC22×C79C23×D4
hypercenter#3035D79
hypocenterC79#60557
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ #3035

Complements

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

NH ≅ G/Ntype
1. #23776789C2semidirect
2. #23776599C2semidirect
3. #23773698C2semidirect
4. #23773689C2semidirect
5. #23773676C2semidirect
6. #23773674C2semidirect
7. #23773661C2semidirect
8. #23773659C2semidirect
9. #23773650C2semidirect
10. #23773641C2semidirect
11. #23773628C2semidirect
12. #23773626C2semidirect
13. #23773613C2semidirect
14. #23773611C2semidirect
15. #23773598C2semidirect
16. #23773596C2semidirect
17. #23773583C2semidirect
18. #23773581C2semidirect
19. #23773311C2semidirect
20. #23773311C2semidirect
21. #23773190C2semidirect
22. #23773188C2semidirect
23. #23772849C2semidirect
24. #23772614C2semidirect
25. #23772614C2semidirect
26. #23772201C2semidirect
27. #23772196C2semidirect
28. #135×Dic79C2semidirect
29. #23772168C2semidirect
30. C2×#19098623C2semidirect
31. C79×#3035C2semidirect
37. #19099182C22semidirect
38. #19099182C22semidirect
40. #19099174C22semidirect
42. #19099167C22semidirect
47. #19099120C22semidirect
67. #41×Dic79C22semidirect
68. #41×Dic79C22semidirect
81. #19098897C22semidirect
82. #19098897C22semidirect
83. #19098892C22semidirect
84. #19098892C22semidirect
89. #19098880C22semidirect
90. #19098880C22semidirect
91. #19098875C22semidirect
92. #19098875C22semidirect
93. #19098871C22semidirect
94. #19098871C22semidirect
95. #19098870C22semidirect
96. #19098870C22semidirect
97. #19098864C22semidirect
98. #19098864C22semidirect
99. #19098863C22semidirect
100. #19098863C22semidirect
101. #19098859C22semidirect
102. #19098858C22semidirect
103. #19098854C22semidirect
104. #19098853C22semidirect
105. #19098849C22semidirect
106. #19098848C22semidirect
107. #19098844C22semidirect
108. #19098843C22semidirect
109. #19098782C22semidirect
110. #19098782C22semidirect
111. #19098775C22semidirect
112. #19098775C22semidirect
113. #19098770C22semidirect
114. #19098765C22semidirect
115. #19098760C22semidirect
116. #19098755C22semidirect
133. #19098675C22semidirect
134. #19098675C22semidirect
135. #19098672C22semidirect
136. #19098672C22semidirect
137. #19098670C22semidirect
138. #19098670C22semidirect
139. #19098667C22semidirect
140. #19098667C22semidirect
141. #19098666C22semidirect
142. #19098666C22semidirect
143. #19098664C22semidirect
144. #19098664C22semidirect
145. #19098664C22semidirect
146. #19098664C22semidirect
147. #19098660C22semidirect
148. #19098660C22semidirect
149. Q16×Dic79C22semidirect
150. Q16×Dic79C22semidirect
151. #19098655C22semidirect
152. #19098655C22semidirect
153. #19098654C22semidirect
154. #19098654C22semidirect
155. SD16×Dic79C22semidirect
156. SD16×Dic79C22semidirect
157. SD16×Dic79C22semidirect
158. SD16×Dic79C22semidirect
159. #19098648C22semidirect
160. #19098648C22semidirect
161. D8×Dic79C22semidirect
162. D8×Dic79C22semidirect
163. #19098643C22semidirect
164. #19098643C22semidirect
169. #19098623C22semidirect
170. #19098623C22semidirect
171. #19098623C22semidirect
172. #19098623C22semidirect
173. #19098601C22semidirect
174. #19098601C22semidirect
175. #19098599C22semidirect
176. #19098599C22semidirect
177. C2×C4⋊(C79⋊C8)C22semidirect
182. #19098559C22semidirect
183. #19098559C22semidirect
186. C2×#14579071C22semidirect
187. C2×C8×Dic79C22semidirect
190. #532×C79C22semidirect
192. #464×C79C22semidirect
193. #464×C79C22semidirect
194. #463×C79C22semidirect
195. #463×C79C22semidirect
196. #462×C79C22semidirect
197. #461×C79C22semidirect
198. #460×C79C22semidirect
199. #459×C79C22semidirect
200. C2×C4⋊C8×C79C22semidirect
201. #416×C79C22semidirect
202. #416×C79C22semidirect
891. #3035D79semidirect
899. C79#60557semidirect
918. #532C2×D79semidirect
983. #464C2×D79semidirect
984. #464C2×D79semidirect
987. #463C2×D79semidirect
988. #463C2×D79semidirect
990. #462C2×D79semidirect
992. #461C2×D79semidirect
994. #460C2×D79semidirect
996. #459C2×D79semidirect
1058. C2×C4⋊C8C2×D79semidirect
1065. #416C2×D79semidirect
1066. #416C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237767892
#237765992
#237736982
#237736892
#237736762
#237736742
#237736612
#237736592
#237736502
#237736412
#237736282
#237736262
#237736132
#237736112
#237735982
#237735962
#237735832
#237735812
#237733112
#237731902
#237731882
#237728492
#237726142
#237722012
#237721962
#135×Dic792
#237721682
C2×#190986232
C79×#30352
#6055779