Finite Group Databasebeta

← #35153180

Subgroups — #35153180

Order 20224.

2136 conjugacy classes of subgroups.

The subgroup lattice has 1954 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23776883C211yesmaximal, characteristic
2#23772477C211yesmaximal, characteristic, complemented
3#23772473C211yesmaximal, characteristic, complemented
4#23772469C211yesmaximal, characteristic, complemented
5#23772468C211yesmaximal, characteristic, complemented
6#23772461C211yesmaximal, characteristic, complemented
7#23772457C211yesmaximal, characteristic, complemented
8#23772456C211yesmaximal, characteristic, complemented
9#23772453C211yesmaximal, characteristic, complemented
10#23772449C211yesmaximal, characteristic, complemented
11#23772449C211yesmaximal, characteristic, complemented
12#23772446C211yesmaximal, characteristic, complemented
13#23772436C211yesmaximal, characteristic, complemented
14#23772433C211yesmaximal, characteristic, complemented
15#23772426C211yesmaximal, characteristic, complemented
16#23772425C211yesmaximal, characteristic, complemented
17#23772145C211yesmaximal, characteristic, complemented
18D4×#11929607C211yesmaximal, characteristic, complemented
19#23772126C211yesmaximal, characteristic, complemented
20#23772120C211yesmaximal, characteristic, complemented
21#23772114C211yesmaximal, characteristic, complemented
22#23772100C211yesmaximal, characteristic, complemented
23#23772091C211yesmaximal, characteristic, complemented
24#435×D79C211yesmaximal, characteristic, complemented
25#23772063C211yesmaximal, characteristic, complemented
26#23772048C211yesmaximal, characteristic, complemented
27#23771850C211yesmaximal, characteristic, complemented
28#23771848C211yesmaximal, characteristic, complemented
29#23771842C211yesmaximal, characteristic, complemented
30C2×#19098528C211yesmaximal, characteristic, complemented
31C79×#2976C211yesmaximal, characteristic, complemented
32C22×#11929624C2211yescharacteristic
33C2×#41×D79C2211yescharacteristic
34C2×#14579169C2211yescharacteristic, complemented
35C2×#14579169C2211yescharacteristic, complemented
36C2×#14579169C2211yescharacteristic, complemented
37C2×#14579167C2211yescharacteristic, complemented
38C22×#11929607C2211yescharacteristic, complemented
39C22×#11929607C2211yescharacteristic, complemented
40C2×M16×D79C2211yescharacteristic, complemented
41C22×C8×D79C2211yescharacteristic, complemented
42#19099231C411yescharacteristic
43#19099226C411yescharacteristic
44#19099223C411yescharacteristic
45#19099219C411yescharacteristic
46#19099215C411yescharacteristic
47#19099211C411yescharacteristic
48#19099211C411yescharacteristic
49#19099210C411yescharacteristic
50#19099205C411yescharacteristic
51#19099205C411yescharacteristic
52#19099204C411yescharacteristic
53#19099200C411yescharacteristic
54#19099200C411yescharacteristic
55#19099197C411yescharacteristic
56#19099195C411yescharacteristic
57#19099195C411yescharacteristic
58#19099110C2211yescharacteristic
59#19099110C2211yescharacteristic
60#19099109C2211yescharacteristic
61#19099075C2211yescharacteristic
62#19099072C2211yescharacteristic
63#19099072C2211yescharacteristic
64#19099072C2211yescharacteristic
65#19099072C2211yescharacteristic
66#19099031C2211yescharacteristic
67C2×C4×C22⋊D79C2211yescharacteristic
68C4×D4×D79C2211yescharacteristic
69C4×D4×D79C2211yescharacteristic
70#19098642C2211yescharacteristic, complemented
71#19098642C2211yescharacteristic, complemented
72#19098642C2211yescharacteristic, complemented
73#19098640C2211yescharacteristic, complemented
74#19098640C2211yescharacteristic, complemented
75#19098640C2211yescharacteristic, complemented
76#19098639C2211yescharacteristic, complemented
77#19098639C2211yescharacteristic, complemented
78#19098639C2211yescharacteristic, complemented
79#19098638C2211yescharacteristic, complemented
80#19098637C2211yescharacteristic, complemented
81#19098637C2211yescharacteristic, complemented
82#19098637C2211yescharacteristic, complemented
83#19098636C2211yescharacteristic, complemented
84#19098636C2211yescharacteristic, complemented
85#19098636C2211yescharacteristic, complemented
86#19098636C2211yescharacteristic, complemented
87#19098635C2211yescharacteristic, complemented
88#19098635C2211yescharacteristic, complemented
89#19098635C2211yescharacteristic, complemented
90#19098635C2211yescharacteristic, complemented
91#19098634C2211yescharacteristic
92#19098634C2211yescharacteristic
93#19098634C2211yescharacteristic, complemented
94#19098634C2211yescharacteristic, complemented
95#19098634C2211yescharacteristic, complemented
96#19098634C2211yescharacteristic, complemented
97#19098634C2211yescharacteristic, complemented
98#19098633C2211yescharacteristic, complemented
99#19098633C2211yescharacteristic, complemented
100#19098633C2211yescharacteristic, complemented
101#19098633C2211yescharacteristic, complemented
102#19098632C2211yescharacteristic, complemented
103#19098632C2211yescharacteristic, complemented
104#19098632C2211yescharacteristic, complemented
105#19098632C2211yescharacteristic, complemented
106#19098632C2211yescharacteristic, complemented
107#19098631C2211yescharacteristic
108#19098631C2211yescharacteristic
109#19098631C2211yescharacteristic, complemented
110#19098631C2211yescharacteristic, complemented
111#19098631C2211yescharacteristic, complemented
112#19098631C2211yescharacteristic, complemented
113#19098631C2211yescharacteristic, complemented
114#19098631C2211yescharacteristic, complemented
115#19098631C2211yescharacteristic, complemented
116C8×D316C2211yescharacteristic, complemented
117D4×C79⋊C8C2211yescharacteristic, complemented
118D4×C79⋊C8C2211yescharacteristic, complemented
119D4×C79⋊C8C2211yescharacteristic, complemented
120D4×C79⋊C8C2211yescharacteristic, complemented
121#19098628C2211yescharacteristic, complemented
122C8×C22⋊D79C2211yescharacteristic, complemented
123(C22⋊D79)⋊C8C2211yescharacteristic, complemented
124(C22⋊D79)⋊C8C2211yescharacteristic, complemented
125(C22⋊D79)⋊C8C2211yescharacteristic, complemented
126#19098625C2211yescharacteristic, complemented
127#19098624C2211yescharacteristic, complemented
128#19098624C2211yescharacteristic, complemented
129#19098623C2211yescharacteristic, complemented
130#19098623C2211yescharacteristic, complemented
131#19098622C2211yescharacteristic, complemented
132#19098619C2211yescharacteristic, complemented
133#19098619C2211yescharacteristic, complemented
134#19098618C2211yescharacteristic, complemented
135#19098617C2211yescharacteristic, complemented
136#19098617C2211yescharacteristic, complemented
137#19098617C2211yescharacteristic, complemented
138#19098614C2211yescharacteristic, complemented
139#19098613C2211yescharacteristic, complemented
140#19098588C2211yescharacteristic, complemented
141#19098588C2211yescharacteristic, complemented
142#19098585C2211yescharacteristic, complemented
143C4⋊C8×D79C2211yescharacteristic, complemented
144#19098531C2211yescharacteristic, complemented
145#19098531C2211yescharacteristic, complemented
146#19098531C2211yescharacteristic, complemented
147#19098530C2211yescharacteristic, complemented
148#19098530C2211yescharacteristic, complemented
149#19098529C2211yescharacteristic, complemented
150#19098528C2211yescharacteristic
151#19098528C2211yescharacteristic
152#19098528C2211yescharacteristic
153#19098528C2211yescharacteristic
154#19098528C2211yescharacteristic, complemented
155#19098528C2211yescharacteristic, complemented
156#19098528C2211yescharacteristic, complemented
157#19098528C2211yescharacteristic, complemented
158#19098528C2211yescharacteristic, complemented
159#19098528C2211yescharacteristic, complemented
160#19098528C2211yescharacteristic, complemented
161#19098528C2211yescharacteristic, complemented
162#19098528C2211yescharacteristic, complemented
163#19098528C2211yescharacteristic, complemented
164#19098528C2211yescharacteristic, complemented
165#19098528C2211yescharacteristic, complemented
166#19098526C2211yescharacteristic, complemented
167#19098525C2211yescharacteristic, complemented
168#19098525C2211yescharacteristic, complemented
169#19098525C2211yescharacteristic, complemented
170#19098525C2211yescharacteristic, complemented
171#19098525C2211yescharacteristic, complemented
172#19098525C2211yescharacteristic, complemented
173#19098525C2211yescharacteristic, complemented
174#19098525C2211yescharacteristic, complemented
175C2×C22⋊(C79⋊C8)C2211yescharacteristic, complemented
176C2×C22⋊(C79⋊C8)C2211yescharacteristic, complemented
177C2×(C2×D79)⋊C8C2211yescharacteristic, complemented
178C2×(C2×D79)⋊C8C2211yescharacteristic, complemented
179C2×(C2×D79)⋊C8C2211yescharacteristic, complemented
180C22⋊C8×D79C2211yescharacteristic, complemented
181C22⋊C8×D79C2211yescharacteristic, complemented
182C22⋊C8×D79C2211yescharacteristic, complemented
183C22⋊C8×D79C2211yescharacteristic, complemented
184#19098520C2211yescharacteristic, complemented
185#19098517C2211yescharacteristic, complemented
186C4×#11929607C2211yescharacteristic, complemented
187#97×D79C2211yescharacteristic, complemented
188#525×C79C2211yescharacteristic
189#436×C79C2211yescharacteristic, complemented
190#436×C79C2211yescharacteristic, complemented
191#435×C79C2211yescharacteristic, complemented
192#435×C79C2211yescharacteristic, complemented
193#435×C79C2211yescharacteristic, complemented
194#435×C79C2211yescharacteristic, complemented
195C8×D4×C79C2211yescharacteristic, complemented
196C8×D4×C79C2211yescharacteristic, complemented
197#433×C79C2211yescharacteristic, complemented
198#433×C79C2211yescharacteristic, complemented
199#408×C79C2211yescharacteristic, complemented
200#408×C79C2211yescharacteristic, complemented
201#407×C79C2211yescharacteristic, complemented
202C2×C22⋊C8×C79C2211yescharacteristic, complemented
203C2×#11929625C2×C411yescharacteristic
204C2×#11929624—42no—
205C2×#11929624—42no—
206C2×#11929624C2×C411yescharacteristic
207C2×#11929624C2×C411yescharacteristic
208C2×#11929624C2×C411yescharacteristic
209C2×#11929624C2×C411yescharacteristic
210C2×#11929624C2311yescharacteristic
211C2×#11929624C2311yescharacteristic
212C2×#11929624C2311yescharacteristic
213C2×#11929624C2311yescharacteristic
214C2×#11929624C2311yescharacteristic
215C2×#11929624C2311yescharacteristic
216C2×#11929623C2×C411yescharacteristic
217C2×#11929623C2×C411yescharacteristic
218C2×#11929623C2×C411yescharacteristic
219#41×D79—42no—
220#41×D79—42no—
221C22×Dic158C2×C411yescharacteristic
222C2×Q8×D79C2×C411yescharacteristic
223C22×D316C2×C411yescharacteristic
224C22×C22⋊D79C2×C411yescharacteristic
225C22×C22⋊D79C2×C411yescharacteristic
226C22×C22⋊D79C2×C411yescharacteristic
227C2×D4×D79C2×C411yescharacteristic
228C2×D4×D79C2×C411yescharacteristic
229C2×D4×D79C2×C411yescharacteristic
230C2×D4×D79C2×C411yescharacteristic
231C2×D4×D79C2×C411yescharacteristic
232C22×C4×D79C2311yescharacteristic
233C22×C4×D79C2311yescharacteristic
234C22×C4×D79C2311yescharacteristic
235C22×C4×D79C2311yescharacteristic
236C22×C4×D79C2311yescharacteristic
237#14579169—42no—
238#14579169—42no—
239#14579169—42no—
240#14579167—42no—
241C2×#11929608C2311yescharacteristic
242C2×#11929608C2311yescharacteristic
243C2×#11929607—42no—
244C2×#11929607—42no—
245C2×#11929607C2311yescharacteristic
246C2×#11929607C2311yescharacteristic
247C2×#11929607C2311yescharacteristic
248C2×#11929607C2311yescharacteristic
249C2×#11929607C2311yescharacteristic
250C2×#11929607C2311yescharacteristic
251C2×#11929607C2311yescharacteristic
252C2×#11929607C2311yescharacteristic
253C2×#11929607C2311yescharacteristic
254C2×#11929607C2311yescharacteristic
255C2×#11929607C2311yescharacteristic
256C2×#11929607C2311yescharacteristic
257C2×#11929607C2311yescharacteristic
258C2×#11929607C2311yescharacteristic
259M16×D79—42no—
260C22×C79⋊C8C2311yescharacteristic
261C22×C79⋊C8C2311yescharacteristic
262C22×C79⋊C8C2311yescharacteristic
263C22×C79⋊C8C2311yescharacteristic
264C22×C79⋊C8C2311yescharacteristic
265C22×C79⋊C8C2311yescharacteristic
266C2×C8×D79—42no—
267C2×C8×D79C2311yescharacteristic
268C2×C8×D79C2311yescharacteristic
269C2×C8×D79C2311yescharacteristic
270C2×C8×D79C2311yescharacteristic
271C2×C8×D79C2311yescharacteristic
272C2×C8×D79C2311yescharacteristic
273C2×C8×D79C2311yescharacteristic
274C2×C8×D79C2311yescharacteristic
275C2×C8×D79C2311yescharacteristic
276C2×C8×D79C2311yescharacteristic
277#14579160C2×C411yescharacteristic
278#14579160C2×C411yescharacteristic
279#14579159C2×C411yescharacteristic
280#14579157C2×C411yescharacteristic
281#14579157C2×C411yescharacteristic
282#14579157C2×C411yescharacteristic
283#14579150C2×C411yescharacteristic
284#14579148C2×C411yescharacteristic
285#14579147C2×C411yescharacteristic
286#14579147C2×C411yescharacteristic
287#14579147C2×C411yescharacteristic
288#14579147C2×C411yescharacteristic
289#14579146C2×C411yescharacteristic
290#14579146C2×C411yescharacteristic
291#14579146C2×C411yescharacteristic
292#14579146C2×C411yescharacteristic
293#14579145C2×C411yescharacteristic
294#14579145C2×C411yescharacteristic
295#14579143C2×C411yescharacteristic
296#14579143C2×C411yescharacteristic
297#14579143C2×C411yescharacteristic
298#14579143C2×C411yescharacteristic
299#14579141C2×C411yescharacteristic
300#14579141C2×C411yescharacteristic
301#14579139C2×C411yescharacteristic
302#14579139C2×C411yescharacteristic
303#14579139C2×C411yescharacteristic
304#14579139C2×C411yescharacteristic
305#14579138C2×C411yescharacteristic
306#14579138C2×C411yescharacteristic
307#14579138C2×C411yescharacteristic
308#14579138C2×C411yescharacteristic
309#14579136C2×C411yescharacteristic
310#14579136C2×C411yescharacteristic
311#14579136C2×C411yescharacteristic
312#14579136C2×C411yescharacteristic
313#14579134C2×C411yescharacteristic
314#14579134C2×C411yescharacteristic
315#14579134C2×C411yescharacteristic
316#14579134C2×C411yescharacteristic
317#14579134C2×C411yescharacteristic
318#14579134C2×C411yescharacteristic
319#14579134C2×C411yescharacteristic
320#14579134C2×C411yescharacteristic
321#14579133C2×C411yescharacteristic
322#14579133C2×C411yescharacteristic
323#14579133C2×C411yescharacteristic
324#14579133C2×C411yescharacteristic
325#14579133C2×C411yescharacteristic
326#14579133C2×C411yescharacteristic
327#14579133C2×C411yescharacteristic
328#14579133C2×C411yescharacteristic
329#14579132C2×C411yescharacteristic
330#14579132C2×C411yescharacteristic
331#14579131C2×C411yescharacteristic
332#14579131C2×C411yescharacteristic
333#14579131C2×C411yescharacteristic
334#14579131C2×C411yescharacteristic
335#14579131C2×C411yescharacteristic
336#14579131C2×C411yescharacteristic
337#14579129C2×C411yescharacteristic
338#14579129C2×C411yescharacteristic
339#14579129C2×C411yescharacteristic
340#14579129C2×C411yescharacteristic
341#14579126C2×C411yescharacteristic
342#14579126C2×C411yescharacteristic
343C4×D316C2311yescharacteristic
344C4×D316C2311yescharacteristic
345C4×D316C2311yescharacteristic
346C4×D316C2311yescharacteristic
347D4×Dic79C2×C411yescharacteristic
348D4×Dic79C2×C411yescharacteristic
349#14579123C2×C411yescharacteristic
350#14579123C2×C411yescharacteristic
351#14579123C2×C411yescharacteristic
352#14579123C2×C411yescharacteristic
353C4×C22⋊D79C2×C411yescharacteristic
354C4×C22⋊D79C2×C411yescharacteristic
355C4×C22⋊D79C2×C411yescharacteristic
356C4×C22⋊D79C2×C411yescharacteristic
357C4×C22⋊D79C2311yescharacteristic
358C4×C22⋊D79C2311yescharacteristic
359C4×C22⋊D79C2311yescharacteristic
360C4×C22⋊D79C2311yescharacteristic
361C4×C22⋊D79C2311yescharacteristic
362C4×C22⋊D79C2311yescharacteristic
363C4×C22⋊D79C2311yescharacteristic
364C4×C22⋊D79C2311yescharacteristic
365(C22⋊D79)⋊C4C2×C411yescharacteristic
366(C22⋊D79)⋊C4C2×C411yescharacteristic
367(C22⋊D79)⋊C4C2×C411yescharacteristic
368(C22⋊D79)⋊C4C2×C411yescharacteristic
369(C22⋊D79)⋊C4C2×C411yescharacteristic
370(C22⋊D79)⋊C4C2×C411yescharacteristic
371(C22⋊D79)⋊C4C2×C411yescharacteristic
372(C22⋊D79)⋊C4C2×C411yescharacteristic
373#14579118C2311yescharacteristic
374#14579118C2311yescharacteristic
375C2×Dic79⋊C4C2×C411yescharacteristic
376C4⋊C4×D79C2×C411yescharacteristic
377C4⋊C4×D79C2×C411yescharacteristic
378C2×C22⋊Dic79C2×C411yescharacteristic
379C2×(C2×D79)⋊C4C2×C411yescharacteristic
380C22⋊C4×D79C2×C411yescharacteristic
381C22⋊C4×D79C2×C411yescharacteristic
382C22⋊C4×D79C2×C411yescharacteristic
383C22⋊C4×D79C2×C411yescharacteristic
384C2×C4×Dic79C2311yescharacteristic
385C42×D79C2311yescharacteristic
386C42×D79C2311yescharacteristic
387C4⋊(C79⋊C8)C2311yescharacteristic
388C4⋊(C79⋊C8)C2311yescharacteristic
389C4⋊(C79⋊C8)C2311yescharacteristic
390C4⋊(C79⋊C8)C2311yescharacteristic
391Dic79⋊C8C2311yescharacteristic
392Dic79⋊C8C2311yescharacteristic
393Dic79⋊C8C2311yescharacteristic
394Dic79⋊C8C2311yescharacteristic
395Dic79⋊C8C2311yescharacteristic
396Dic79⋊C8C2311yescharacteristic
397Dic79⋊C8C2311yescharacteristic
398Dic79⋊C8C2311yescharacteristic
399C22⋊(C79⋊C8)C2311yescharacteristic
400C22⋊(C79⋊C8)C2311yescharacteristic
401C22⋊(C79⋊C8)C2311yescharacteristic
402C22⋊(C79⋊C8)C2311yescharacteristic
403C22⋊(C79⋊C8)C2311yescharacteristic
404C22⋊(C79⋊C8)C2311yescharacteristic
405C22⋊(C79⋊C8)C2311yescharacteristic
406C22⋊(C79⋊C8)C2311yescharacteristic
407C22⋊(C79⋊C8)C2311yescharacteristic
408C22⋊(C79⋊C8)C2311yescharacteristic
409C22⋊(C79⋊C8)C2311yescharacteristic
410C22⋊(C79⋊C8)C2311yescharacteristic
411(C2×D79)⋊C8C2311yescharacteristic
412(C2×D79)⋊C8C2311yescharacteristic
413(C2×D79)⋊C8C2311yescharacteristic
414(C2×D79)⋊C8C2311yescharacteristic
415(C2×D79)⋊C8C2311yescharacteristic
416(C2×D79)⋊C8C2311yescharacteristic
417(C2×D79)⋊C8C2311yescharacteristic
418(C2×D79)⋊C8C2311yescharacteristic
419(C2×D79)⋊C8C2311yescharacteristic
420(C2×D79)⋊C8C2311yescharacteristic
421(C2×D79)⋊C8C2311yescharacteristic
422(C2×D79)⋊C8C2311yescharacteristic
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(C2×D79)⋊C8C2311yescharacteristic
432(C2×D79)⋊C8C2311yescharacteristic
433(C2×D79)⋊C8C2311yescharacteristic
434(C2×D79)⋊C8C2311yescharacteristic
435#14579072C2311yescharacteristic
436#14579072C2311yescharacteristic
437#14579071C2311yescharacteristic
438#14579071C2311yescharacteristic
439#14579071C2311yescharacteristic
440#14579071C2311yescharacteristic
441#14579071C2311yescharacteristic
442#14579071C2311yescharacteristic
443C4×C79⋊C8C2311yescharacteristic
444C4×C79⋊C8C2311yescharacteristic
445C8×Dic79C2311yescharacteristic
446C8×Dic79C2311yescharacteristic
447C2×#41×C79C2311yescharacteristic
448C23×C4×C79C2311yescharacteristic
449C2×M16×C79C2311yescharacteristic
450C2×M16×C79C2311yescharacteristic
451C2×M16×C79C2311yescharacteristic
452C2×M16×C79C2311yescharacteristic
453C22×C8×C79C2311yescharacteristic
454C22×C8×C79C2311yescharacteristic
455C22×C8×C79C2311yescharacteristic
456C22×C8×C79C2311yescharacteristic
457#123×C79C2×C411yescharacteristic
458#123×C79C2×C411yescharacteristic
459C22⋊Q8×C79C2×C411yescharacteristic
460C22⋊Q8×C79C2×C411yescharacteristic
461#121×C79C2×C411yescharacteristic
462#121×C79C2×C411yescharacteristic
463#120×C79C2×C411yescharacteristic
464#120×C79C2×C411yescharacteristic
465C4×D4×C79C2311yescharacteristic
466C4×D4×C79C2311yescharacteristic
467C4×D4×C79C2311yescharacteristic
468C4×D4×C79C2311yescharacteristic
469#117×C79C2311yescharacteristic
470C4⋊C8×C79C2311yescharacteristic
471C4⋊C8×C79C2311yescharacteristic
472C4⋊C8×C79C2311yescharacteristic
473C4⋊C8×C79C2311yescharacteristic
474C22⋊C8×C79C2311yescharacteristic
475C22⋊C8×C79C2311yescharacteristic
476C22⋊C8×C79C2311yescharacteristic
477C22⋊C8×C79C2311yescharacteristic
478C22⋊C8×C79C2311yescharacteristic
479C22⋊C8×C79C2311yescharacteristic
480C22⋊C8×C79C2311yescharacteristic
481C22⋊C8×C79C2311yescharacteristic
482C22⋊C8×C79C2311yescharacteristic
483C22⋊C8×C79C2311yescharacteristic
484C22⋊C8×C79C2311yescharacteristic
485C22⋊C8×C79C2311yescharacteristic
486#97×C79C2311yescharacteristic
487#97×C79C2311yescharacteristic
488C4×C8×C79C2311yescharacteristic
489C4×C8×C79C2311yescharacteristic
490C23×D79C22×C411yescharacteristic
491C23×D79C22×C411yescharacteristic
492C23×D79C22×C411yescharacteristic
493C23×D79C22×C411yescharacteristic
494C23×D79C22×C411yescharacteristic
495#11929625—42no—
496#11929624—22no—
497#11929624—22no—
498#11929624—22no—
499#11929624—22no—
500#11929624—22no—
501#11929624—22no—
502#11929624—42no—
503#11929624—42no—
504#11929624—42no—
505#11929624—42no—
506#11929624—41no—
507#11929624—41no—
508#11929624—41no—
509#11929624—41no—
510#11929624—41no—
511#11929624—41no—
512#11929623—42no—
513#11929623—42no—
514#11929623—42no—
515C2×Dic158—42no—
516C2×Dic158C22×C411yescharacteristic
517C2×Dic158C22×C411yescharacteristic
518C2×Dic158C22×C411yescharacteristic
519C2×Dic158C22×C411yescharacteristic
520C2×Dic158C22×C411yescharacteristic
521C2×Dic158C22×C411yescharacteristic
522Q8×D79—42no—
523C2×D316—42no—
524C2×D316C22×C411yescharacteristic
525C2×D316C22×C411yescharacteristic
526C2×D316C22×C411yescharacteristic
527C2×D316C22×C411yescharacteristic
528C2×D316C22×C411yescharacteristic
529C2×D316C22×C411yescharacteristic
530C2×D316C22×C411yescharacteristic
531C2×D316C22×C411yescharacteristic
532C2×D316C22×C411yescharacteristic
533C2×D316C22×C411yescharacteristic
534C2×C22⋊D79—42no—
535C2×C22⋊D79—42no—
536C2×C22⋊D79—42no—
537C2×C22⋊D79C22×C411yescharacteristic
538C2×C22⋊D79C22×C411yescharacteristic
539C2×C22⋊D79C22×C411yescharacteristic
540C2×C22⋊D79C22×C411yescharacteristic
541C2×C22⋊D79C22×C411yescharacteristic
542C2×C22⋊D79C22×C411yescharacteristic
543C2×C22⋊D79C22×C411yescharacteristic
544C2×C22⋊D79C22×C411yescharacteristic
545C2×C22⋊D79C22×C411yescharacteristic
546C2×C22⋊D79C22×C411yescharacteristic
547C2×C22⋊D79C22×C411yescharacteristic
548C2×C22⋊D79C22×C411yescharacteristic
549C2×C22⋊D79C22×C411yescharacteristic
550C2×C22⋊D79C22×C411yescharacteristic
551C2×C22⋊D79C22×C411yescharacteristic
552C2×C22⋊D79C22×C411yescharacteristic
553C2×C22⋊D79C22×C411yescharacteristic
554C2×C22⋊D79C22×C411yescharacteristic
555C2×C22⋊D79C22×C411yescharacteristic
556C2×C22⋊D79C22×C411yescharacteristic
557D4×D79—42no—
558D4×D79—42no—
559D4×D79—42no—
560D4×D79—42no—
561D4×D79—42no—
562C22×Dic79C22×C411yescharacteristic
563C22×Dic79C22×C411yescharacteristic
564C22×Dic79C22×C411yescharacteristic
565C22×Dic79C22×C411yescharacteristic
566C22×Dic79C22×C411yescharacteristic
567C22×Dic79C22×C411yescharacteristic
568C22×Dic79C22×C411yescharacteristic
569C2×C4×D79—22no—
570C2×C4×D79—22no—
571C2×C4×D79—22no—
572C2×C4×D79—22no—
573C2×C4×D79—41no—
574C2×C4×D79—41no—
575C2×C4×D79—41no—
576C2×C4×D79—41no—
577C2×C4×D79—41no—
578C2×C4×D79—41no—
579C2×C4×D79C22×C411yescharacteristic
580C2×C4×D79C22×C411yescharacteristic
581C2×C4×D79C22×C411yescharacteristic
582C2×C4×D79C22×C411yescharacteristic
583C2×C4×D79C22×C411yescharacteristic
584C2×C4×D79C22×C411yescharacteristic
585C2×C4×D79C22×C411yescharacteristic
586C2×C4×D79C22×C411yescharacteristic
587C2×C4×D79C22×C411yescharacteristic
588C2×C4×D79C22×C411yescharacteristic
589C2×C4×D79C22×C411yescharacteristic
590C2×C4×D79C22×C411yescharacteristic
591C2×C4×D79C22×C411yescharacteristic
592C2×C4×D79C22×C411yescharacteristic
593C2×C4×D79C2411yescharacteristic
594C2×C4×D79C2411yescharacteristic
595C2×C4×D79C2411yescharacteristic
596C2×C4×D79C2411yescharacteristic
597C2×C4×D79C2411yescharacteristic
598C2×C4×D79C2411yescharacteristic
599#11929608—41no—
600#11929608—41no—
601#11929607—22no—
602#11929607—22no—
603#11929607—22no—
604#11929607—22no—
605#11929607—41no—
606#11929607—41no—
607#11929607—41no—
608#11929607—41no—
609#11929607—41no—
610#11929607—41no—
611#11929607—41no—
612#11929607—41no—
613#11929607—41no—
614#11929607—41no—
615C2×C79⋊C8—41no—
616C2×C79⋊C8—41no—
617C2×C79⋊C8—41no—
618C2×C79⋊C8—41no—
619C2×C79⋊C8—41no—
620C2×C79⋊C8—41no—
621C2×C79⋊C8C2411yescharacteristic
622C2×C79⋊C8C2411yescharacteristic
623C2×C79⋊C8C2411yescharacteristic
624C2×C79⋊C8C2411yescharacteristic
625C2×C79⋊C8C2411yescharacteristic
626C2×C79⋊C8C2411yescharacteristic
627C2×C79⋊C8C2411yescharacteristic
628C2×C79⋊C8C2411yescharacteristic
629C8×D79—22no—
630C8×D79—22no—
631C8×D79—22no—
632C8×D79—22no—
633C8×D79—41no—
634C8×D79—41no—
635C8×D79—41no—
636C8×D79—41no—
637C8×D79—41no—
638C8×D79—41no—
639C4⋊Dic79C22×C411yescharacteristic
640C4⋊Dic79C22×C411yescharacteristic
641C4⋊Dic79C22×C411yescharacteristic
642C4⋊Dic79C22×C411yescharacteristic
643Dic79⋊C4C22×C411yescharacteristic
644Dic79⋊C4C22×C411yescharacteristic
645Dic79⋊C4C22×C411yescharacteristic
646Dic79⋊C4C22×C411yescharacteristic
647Dic79⋊C4C22×C411yescharacteristic
648Dic79⋊C4C22×C411yescharacteristic
649Dic79⋊C4C22×C411yescharacteristic
650Dic79⋊C4C22×C411yescharacteristic
651Dic79⋊C4C22×C411yescharacteristic
652Dic79⋊C4C22×C411yescharacteristic
653Dic79⋊C4C22×C411yescharacteristic
654Dic79⋊C4C22×C411yescharacteristic
655C22⋊Dic79C22×C411yescharacteristic
656C22⋊Dic79C22×C411yescharacteristic
657C22⋊Dic79C22×C411yescharacteristic
658C22⋊Dic79C22×C411yescharacteristic
659C22⋊Dic79C22×C411yescharacteristic
660C22⋊Dic79C22×C411yescharacteristic
661C22⋊Dic79C22×C411yescharacteristic
662C22⋊Dic79C22×C411yescharacteristic
663(C2×D79)⋊C4C22×C411yescharacteristic
664(C2×D79)⋊C4C22×C411yescharacteristic
665(C2×D79)⋊C4C22×C411yescharacteristic
666(C2×D79)⋊C4C22×C411yescharacteristic
667(C2×D79)⋊C4C22×C411yescharacteristic
668(C2×D79)⋊C4C22×C411yescharacteristic
669(C2×D79)⋊C4C22×C411yescharacteristic
670(C2×D79)⋊C4C22×C411yescharacteristic
671(C2×D79)⋊C4C22×C411yescharacteristic
672(C2×D79)⋊C4C22×C411yescharacteristic
673(C2×D79)⋊C4C22×C411yescharacteristic
674(C2×D79)⋊C4C22×C411yescharacteristic
675(C2×D79)⋊C4C22×C411yescharacteristic
676(C2×D79)⋊C4C22×C411yescharacteristic
677(C2×D79)⋊C4C22×C411yescharacteristic
678(C2×D79)⋊C4C22×C411yescharacteristic
679(C2×D79)⋊C4C22×C411yescharacteristic
680(C2×D79)⋊C4C22×C411yescharacteristic
681(C2×D79)⋊C4C22×C411yescharacteristic
682(C2×D79)⋊C4C22×C411yescharacteristic
683C4×Dic79C22×C411yescharacteristic
684C4×Dic79C22×C411yescharacteristic
685C4×Dic79C22×C411yescharacteristic
686C4×Dic79C22×C411yescharacteristic
687C4×Dic79C22×C411yescharacteristic
688C4×Dic79C22×C411yescharacteristic
689C4×Dic79C2411yescharacteristic
690C4×Dic79C2411yescharacteristic
691C24×C79C22×C411yescharacteristic
692#41×C79—41no—
693#41×C79—41no—
694C2×Q8×C79C22×C411yescharacteristic
695C2×D4×C79C22×C411yescharacteristic
696C2×D4×C79C22×C411yescharacteristic
697C2×D4×C79C22×C411yescharacteristic
698C2×D4×C79C22×C411yescharacteristic
699C2×D4×C79C22×C411yescharacteristic
700C2×D4×C79C22×C411yescharacteristic
701C2×D4×C79C22×C411yescharacteristic
702C22×C4×C79—41no—
703C22×C4×C79—41no—
704C22×C4×C79C22×C411yescharacteristic
705C22×C4×C79C22×C411yescharacteristic
706C22×C4×C79C22×C411yescharacteristic
707C22×C4×C79C2411yescharacteristic
708C22×C4×C79C2411yescharacteristic
709C22×C4×C79C2411yescharacteristic
710C22×C4×C79C2411yescharacteristic
711C22×C4×C79C2411yescharacteristic
712M16×C79—41no—
713M16×C79—41no—
714M16×C79—41no—
715M16×C79—41no—
716C2×C8×C79—41no—
717C2×C8×C79—41no—
718C2×C8×C79—41no—
719C2×C8×C79—41no—
720C2×C8×C79C2411yescharacteristic
721C2×C8×C79C2411yescharacteristic
722C2×C8×C79C2411yescharacteristic
723C2×C8×C79C2411yescharacteristic
724C2×C8×C79C2411yescharacteristic
725C2×C8×C79C2411yescharacteristic
726C2×C8×C79C2411yescharacteristic
727C2×C8×C79C2411yescharacteristic
728C4⋊C4×C79C22×C411yescharacteristic
729C4⋊C4×C79C22×C411yescharacteristic
730C4⋊C4×C79C22×C411yescharacteristic
731C4⋊C4×C79C22×C411yescharacteristic
732C4⋊C4×C79C22×C411yescharacteristic
733C4⋊C4×C79C22×C411yescharacteristic
734C22⋊C4×C79C22×C411yescharacteristic
735C22⋊C4×C79C22×C411yescharacteristic
736C22⋊C4×C79C22×C411yescharacteristic
737C22⋊C4×C79C22×C411yescharacteristic
738C22⋊C4×C79C22×C411yescharacteristic
739C22⋊C4×C79C22×C411yescharacteristic
740C22⋊C4×C79C22×C411yescharacteristic
741C22⋊C4×C79C22×C411yescharacteristic
742C22⋊C4×C79C22×C411yescharacteristic
743C22⋊C4×C79C22×C411yescharacteristic
744C42×C79C2411yescharacteristic
745C42×C79C2411yescharacteristic
746C23×C79—22no—
747C23×C79—41no—
748C23×C79—41no—
749C23×C79C23×C411yescharacteristic
750C23×C79C23×C411yescharacteristic
751C23×C79C23×C411yescharacteristic
752C23×C79C23×C411yescharacteristic
753C23×C79C23×C411yescharacteristic
754C22×D79—22no—
755C22×D79—22no—
756C22×D79—22no—
757C22×D79—22no—
758C22×D79—41no—
759C22×D79—41no—
760C22×D79—41no—
761C22×D79—41no—
762C22×D79—41no—
763C22×D79—41no—
764C22×D79—41no—
765C22×D79—41no—
766C22×D79—41no—
767C22×D79—41no—
768C22×D79—41no—
769C22×D79C23×C411yescharacteristic
770C22×D79C23×C411yescharacteristic
771C22×D79C23×C411yescharacteristic
772C22×D79C23×C411yescharacteristic
773C22×D79C23×C411yescharacteristic
774C22×D79C23×C411yescharacteristic
775Q8×C79—41no—
776D4×C79—22no—
777D4×C79—22no—
778D4×C79—41no—
779D4×C79—41no—
780D4×C79—41no—
781D4×C79—41no—
782D4×C79—41no—
783C2×C4×C79—21no—
784C2×C4×C79—21no—
785C2×C4×C79—21no—
786C2×C4×C79—21no—
787C2×C4×C79—21no—
788C2×C4×C79—21no—
789C2×C4×C79—21no—
790C2×C4×C79—21no—
791C2×C4×C79—21no—
792C2×C4×C79—21no—
793C2×C4×C79—41no—
794C2×C4×C79—41no—
795C2×C4×C79—41no—
796C2×C4×C79C23×C411yescharacteristic
797C2×C4×C79C23×C411yescharacteristic
798C2×C4×C79C23×C411yescharacteristic
799C2×C4×C79C23×C411yescharacteristic
800C2×C4×C79C23×C411yescharacteristic
801C2×C4×C79C23×C411yescharacteristic
802C2×C4×C79C23×C411yescharacteristic
803C2×C4×C79C23×C411yescharacteristic
804C2×C4×C79C23×C411yescharacteristic
805C2×C4×C79C2511yescharacteristic
806C22⋊D79—22no—
807C22⋊D79—22no—
808C22⋊D79—22no—
809C22⋊D79—22no—
810C22⋊D79—22no—
811C22⋊D79—22no—
812C22⋊D79—22no—
813C22⋊D79—22no—
814C22⋊D79—41no—
815C22⋊D79—41no—
816C22⋊D79—41no—
817C22⋊D79—41no—
818C22⋊D79—41no—
819C22⋊D79—41no—
820C22⋊D79—41no—
821C22⋊D79—41no—
822C22⋊D79—41no—
823C22⋊D79—41no—
824C22⋊D79—41no—
825C22⋊D79—41no—
826C2×Dic79—22no—
827C2×Dic79—22no—
828C2×Dic79—41no—
829C2×Dic79—41no—
830C2×Dic79—41no—
831C2×Dic79—41no—
832C2×Dic79—41no—
833C2×Dic79C23×C411yescharacteristic
834C2×Dic79C23×C411yescharacteristic
835C2×Dic79C23×C411yescharacteristic
836C2×Dic79C23×C411yescharacteristic
837C2×Dic79C23×C411yescharacteristic
838C2×Dic79C23×C411yescharacteristic
839C2×Dic79C23×C411yescharacteristic
840C2×Dic79C23×C411yescharacteristic
841C2×Dic79C23×C411yescharacteristic
842C2×Dic79C23×C411yescharacteristic
843D316—22no—
844D316—22no—
845D316—22no—
846D316—41no—
847D316—41no—
848D316—41no—
849D316—41no—
850D316—41no—
851D316—41no—
852D316—41no—
853C4×D79—22no—
854C4×D79—22no—
855C4×D79—21no—
856C4×D79—21no—
857C4×D79—21no—
858C4×D79—21no—
859C4×D79—21no—
860C4×D79—21no—
861C4×D79—21no—
862C4×D79—21no—
863C4×D79—21no—
864C4×D79—21no—
865C4×D79—22no—
866C4×D79—22no—
867C4×D79—41no—
868C4×D79—41no—
869C4×D79—41no—
870C4×D79—41no—
871C4×D79—41no—
872C4×D79—41no—
873C4×D79—41no—
874C4×D79—41no—
875C4×D79—41no—
876C4×D79—41no—
877C4×D79H(5,𝔽2)12yes—
878C4×D79H(5,𝔽2)12yes—
879Dic158—22no—
880Dic158—22no—
881Dic158—22no—
882Dic158—41no—
883Dic158—41no—
884Dic158—41no—
885C8×C79—21no—
886C8×C79—21no—
887C8×C79—21no—
888C8×C79—21no—
889C8×C79—21no—
890C8×C79—21no—
891C8×C79—21no—
892C8×C79—21no—
893C79⋊C8—21no—
894C79⋊C8—21no—
895C79⋊C8—21no—
896C79⋊C8—21no—
897C79⋊C8—21no—
898C79⋊C8—21no—
899C79⋊C8—21no—
900C79⋊C8—21no—
901C22×C79—21no—
902C22×C79—21no—
903C22×C79—21no—
904C22×C79—21no—
905C22×C79—21no—
906C22×C79—21no—
907C22×C79—21no—
908C22×C79—21no—
909C22×C79—21no—
910C22×C79—21no—
911C22×C79—21no—
912C22×C79—21no—
913C22×C79—21no—
914C22×C79—21no—
915C22×C79—82no—
916C22×C79#56812yes—
917C22×C79C24×C411yescharacteristic
918C2×D79—21no—
919C2×D79—21no—
920C2×D79—21no—
921C2×D79—21no—
922C2×D79—21no—
923C2×D79—21no—
924C2×D79—21no—
925C2×D79—21no—
926C2×D79—21no—
927C2×D79—21no—
928C2×D79—21no—
929C2×D79—21no—
930C2×D79—21no—
931C2×D79—21no—
932C2×D79—21no—
933C2×D79—21no—
934C2×D79—21no—
935C2×D79—44no—
936C2×D79—82no—
937C2×D79—82no—
938C2×D79—82no—
939C2×D79—82no—
940C2×D79#51812yes—
941C4×C79—21no—
942C4×C79—21no—
943C4×C79—21no—
944C4×C79—21no—
945C4×C79—21no—
946C4×C79—21no—
947C4×C79—21no—
948C4×C79—21no—
949C4×C79—21no—
950C4×C79C2×H(5,𝔽2)11yescharacteristic
951C4×C79C2×H(5,𝔽2)11yescharacteristic
952Dic79—21no—
953Dic79—21no—
954Dic79—21no—
955Dic79—21no—
956Dic79—21no—
957Dic79—21no—
958Dic79—21no—
959Dic79—21no—
960Dic79—21no—
961Dic79#51812yes—
962#60240—791nomaximal, Sylow
963C2×C79—22no—
964C2×C79—41no—
965C2×C79—41no—
966C2×C79—41no—
967C2×C79—41no—
968C2×C79C2×#51811yescharacteristic
969C2×C79C2×#56811yescharacteristic
970C2×C79#357311yescharacteristic
971D79—22no—
972D79—41no—
973D79—41no—
974D79—41no—
975D79—41no—
976D79—41no—
977D4×#41—791no—
978#2981—791no—
979#2981—791no—
980#2980—791no—
981#2980—791no—
982#2978—791no—
983#2978—791no—
984#2977—791no—
985#2977—791no—
986#2976—791no—
987#2976—791no—
988#2976—791no—
989#2976D7911yescharacteristic, complemented
990#2974—791no—
991#2974—791no—
992#2973—791no—
993#2973—791no—
994#2935—791no—
995D4×M16—791no—
996#2933—791no—
997#2933—791no—
998#2932—791no—
999#2930—791no—
1000#2929—791no—
1001C2×#435—791no—
1002#2925—791no—
1003#2923—791no—
1004#2880—791no—
1005#2880—791no—
1006#2879—791no—
1007C2×#408—791no—
1008C79#6024011yescharacteristic, complemented, Sylow
1009C22×#41—791no—
1010C22×#41—791no—
1011C2×#131—791no—
1012C2×#131—791no—
1013C2×#131—791no—
1014C2×#131—791no—
1015C22×M16—791no—
1016C22×M16—791no—
1017C22×M16—791no—
1018C23×C8—791no—
1019#550—791no—
1020D4×Q8—791no—
1021#548—791no—
1022#548—791no—
1023#547—791no—
1024#547—791no—
1025#547—791no—
1026#546—791no—
1027#546—791no—
1028#546—791no—
1029#546—791no—
1030#546—791no—
1031#546—791no—
1032D42—791no—
1033D42—791no—
1034D42—791no—
1035#532—791no—
1036#532—791no—
1037#532—791no—
1038#525—791no—
1039#525—791no—
1040#525—791no—
1041#525—791no—
1042#525—791no—
1043#525C2×D7911yescharacteristic
1044C4×#41—791no—
1045C2×C4×D4—791no—
1046C2×C4×D4—791no—
1047C2×C4×D4—791no—
1048#436—791no—
1049#436—791no—
1050#436—791no—
1051#436—791no—
1052#436—791no—
1053#436—791no—
1054#436—791no—
1055#436—791no—
1056#436—791no—
1057#436—791no—
1058#436C2×D7911yescharacteristic, complemented
1059#436C2×D7911yescharacteristic, complemented
1060#435—791no—
1061#435—791no—
1062#435—791no—
1063#435—791no—
1064#435—791no—
1065#435—791no—
1066#435—791no—
1067#435—791no—
1068#435—791no—
1069#435—791no—
1070#435—791no—
1071#435—791no—
1072#435—791no—
1073#435—791no—
1074#435—791no—
1075#435—791no—
1076#435—791no—
1077#435—791no—
1078#435—791no—
1079#435—791no—
1080#435—791no—
1081#435—791no—
1082#435—791no—
1083#435—791no—
1084#435—791no—
1085#435—791no—
1086#435—791no—
1087#435—791no—
1088#435—791no—
1089#435—791no—
1090#435—791no—
1091#435—791no—
1092#435—791no—
1093#435—791no—
1094#435—791no—
1095#435—791no—
1096#435C2×D7911yescharacteristic, complemented
1097#435C2×D7911yescharacteristic, complemented
1098#435C2×D7911yescharacteristic, complemented
1099#435C2×D7911yescharacteristic, complemented
1100C8×D4—791no—
1101C8×D4—791no—
1102C8×D4—791no—
1103C8×D4—791no—
1104C8×D4—791no—
1105C8×D4—791no—
1106C8×D4—791no—
1107C8×D4—791no—
1108C8×D4—791no—
1109C8×D4—791no—
1110C8×D4C2×D7911yescharacteristic, complemented
1111C8×D4C2×D7911yescharacteristic, complemented
1112#433—791no—
1113#433—791no—
1114#433—791no—
1115#433—791no—
1116#433—791no—
1117#433—791no—
1118#433C2×D7911yescharacteristic, complemented
1119#433C2×D7911yescharacteristic, complemented
1120#432—791no—
1121#432—791no—
1122#432—791no—
1123#432—791no—
1124#432—791no—
1125#432—791no—
1126#431—791no—
1127#431—791no—
1128#424—791no—
1129#424—791no—
1130#423—791no—
1131C2×C4⋊C8—791no—
1132#408—791no—
1133#408—791no—
1134#408—791no—
1135#408—791no—
1136#408—791no—
1137#408—791no—
1138#408—791no—
1139#408—791no—
1140#408—791no—
1141#408—791no—
1142#408—791no—
1143#408—791no—
1144#408—791no—
1145#408—791no—
1146#408—791no—
1147#408—791no—
1148#408—791no—
1149#408—791no—
1150#408—791no—
1151#408—791no—
1152#408—791no—
1153#408—791no—
1154#408C2×D7911yescharacteristic, complemented
1155#408C2×D7911yescharacteristic, complemented
1156#407—791no—
1157#407—791no—
1158#407—791no—
1159#407—791no—
1160#407—791no—
1161#407—791no—
1162#407—791no—
1163#407—791no—
1164#407—791no—
1165#407C2×D7911yescharacteristic, complemented
1166C2×C22⋊C8—791no—
1167C2×C22⋊C8—791no—
1168C2×C22⋊C8—791no—
1169C2×C22⋊C8—791no—
1170C2×C22⋊C8—791no—
1171C2×C22⋊C8—791no—
1172C2×C22⋊C8—791no—
1173C2×C22⋊C8—791no—
1174C2×C22⋊C8—791no—
1175C2×C22⋊C8C2×D7911yescharacteristic, complemented
1176#405—791no—
1177#405—791no—
1178C4×M16—791no—
1179C2×#97—791no—
1180C2×#41—3162no—
1181C2×#41—3162no—
1182C2×#41—3162no—
1183C2×#41—3162no—
1184C2×#41—791no—
1185C2×#41—791no—
1186C2×#41—791no—
1187C2×#41—791no—
1188C2×#41—791no—
1189C2×#41—791no—
1190C2×#41—791no—
1191C2×#41—791no—
1192C2×#41—791no—
1193C2×#41—791no—
1194C2×#41—791no—
1195C2×#41—791no—
1196C2×#41—791no—
1197C2×#41—791no—
1198C2×#41C22×D7911yescharacteristic
1199C22×Q8—791no—
1200C22×Q8—791no—
1201C22×D4—791no—
1202C22×D4—791no—
1203C22×D4—791no—
1204C22×D4—791no—
1205C22×D4—791no—
1206C22×D4—791no—
1207C22×D4—791no—
1208C22×D4—791no—
1209C22×D4—791no—
1210C23×C4—791no—
1211C23×C4—791no—
1212C23×C4—791no—
1213C23×C4—791no—
1214C23×C4—791no—
1215C23×C4C22×D7911yescharacteristic
1216#131—3162no—
1217#131—3162no—
1218#131—3162no—
1219#131—3162no—
1220C2×M16—3162no—
1221C2×M16—3162no—
1222C2×M16—3162no—
1223C2×M16—791no—
1224C2×M16—791no—
1225C2×M16—791no—
1226C2×M16—791no—
1227C2×M16—791no—
1228C2×M16—791no—
1229C2×M16—791no—
1230C2×M16—791no—
1231C2×M16—791no—
1232C2×M16—791no—
1233C2×M16—791no—
1234C2×M16—791no—
1235C2×M16—791no—
1236C2×M16—791no—
1237C2×M16—791no—
1238C2×M16—791no—
1239C2×M16C22×D7911yescharacteristic
1240C2×M16C22×D7911yescharacteristic
1241C2×M16C22×D7911yescharacteristic
1242C2×M16C22×D7911yescharacteristic
1243C22×C8—3162no—
1244C22×C8—791no—
1245C22×C8—791no—
1246C22×C8—791no—
1247C22×C8—791no—
1248C22×C8—791no—
1249C22×C8—791no—
1250C22×C8—791no—
1251C22×C8—791no—
1252C22×C8—791no—
1253C22×C8—791no—
1254C22×C8—791no—
1255C22×C8—791no—
1256C22×C8—791no—
1257C22×C8—791no—
1258C22×C8—791no—
1259C22×C8—791no—
1260C22×C8C22×D7911yescharacteristic
1261C22×C8C22×D7911yescharacteristic
1262C22×C8C22×D7911yescharacteristic
1263C22×C8C22×D7911yescharacteristic
1264C4⋊Q8—791no—
1265C4⋊Q8—791no—
1266C4⋊Q8—791no—
1267#127—791no—
1268#127—791no—
1269#127—791no—
1270#124—791no—
1271#124—791no—
1272#124—791no—
1273#124—791no—
1274#124—791no—
1275#124—791no—
1276#123—791no—
1277#123—791no—
1278#123—791no—
1279#123—791no—
1280#123—791no—
1281#123—791no—
1282#123—791no—
1283#123—791no—
1284#123—791no—
1285#123—791no—
1286#123C4×D7911yescharacteristic
1287#123C4×D7911yescharacteristic
1288C22⋊Q8—791no—
1289C22⋊Q8—791no—
1290C22⋊Q8—791no—
1291C22⋊Q8—791no—
1292C22⋊Q8—791no—
1293C22⋊Q8—791no—
1294C22⋊Q8—791no—
1295C22⋊Q8—791no—
1296C22⋊Q8—791no—
1297C22⋊Q8—791no—
1298C22⋊Q8C4×D7911yescharacteristic
1299C22⋊Q8C4×D7911yescharacteristic
1300#121—791no—
1301#121—791no—
1302#121—791no—
1303#121—791no—
1304#121—791no—
1305#121—791no—
1306#121—791no—
1307#121—791no—
1308#121—791no—
1309#121—791no—
1310#121—791no—
1311#121—791no—
1312#121—791no—
1313#121—791no—
1314#121—791no—
1315#121—791no—
1316#121—791no—
1317#121—791no—
1318#121—791no—
1319#121—791no—
1320#121—791no—
1321#121—791no—
1322#121C4×D7911yescharacteristic
1323#121C4×D7911yescharacteristic
1324#120—791no—
1325#120—791no—
1326#120—791no—
1327#120—791no—
1328#120—791no—
1329#120—791no—
1330#120—791no—
1331#120—791no—
1332#120—791no—
1333#120—791no—
1334#120C4×D7911yescharacteristic
1335#120C4×D7911yescharacteristic
1336C4×Q8—791no—
1337C4×Q8—791no—
1338C4×D4—791no—
1339C4×D4—791no—
1340C4×D4—791no—
1341C4×D4—791no—
1342C4×D4—791no—
1343C4×D4—791no—
1344C4×D4—791no—
1345C4×D4—791no—
1346C4×D4—791no—
1347C4×D4—791no—
1348C4×D4—791no—
1349C4×D4—791no—
1350C4×D4—791no—
1351C4×D4—791no—
1352C4×D4—791no—
1353C4×D4—791no—
1354C4×D4—791no—
1355C4×D4—791no—
1356C4×D4—791no—
1357C4×D4—791no—
1358C4×D4—791no—
1359C4×D4—791no—
1360C4×D4—791no—
1361C4×D4—791no—
1362C4×D4—791no—
1363C4×D4—791no—
1364C4×D4—791no—
1365C4×D4—791no—
1366C4×D4—791no—
1367C4×D4—791no—
1368C4×D4C22×D7911yescharacteristic
1369C4×D4C22×D7911yescharacteristic
1370C4×D4C22×D7911yescharacteristic
1371C4×D4C22×D7911yescharacteristic
1372#117—791no—
1373#117—791no—
1374#117C22×D7911yescharacteristic
1375C2×C4⋊C4—791no—
1376C2×C4⋊C4—791no—
1377C2×C4⋊C4—791no—
1378C2×C22⋊C4—791no—
1379C2×C22⋊C4—791no—
1380C2×C22⋊C4—791no—
1381C2×C22⋊C4—791no—
1382C2×C22⋊C4—791no—
1383C2×C22⋊C4—791no—
1384C2×C42—791no—
1385C2×C42—791no—
1386C2×C42—791no—
1387C4⋊C8—791no—
1388C4⋊C8—791no—
1389C4⋊C8—791no—
1390C4⋊C8—791no—
1391C4⋊C8—791no—
1392C4⋊C8—791no—
1393C4⋊C8—791no—
1394C4⋊C8—791no—
1395C4⋊C8—791no—
1396C4⋊C8—791no—
1397C4⋊C8—791no—
1398C4⋊C8—791no—
1399C4⋊C8C22×D7911yescharacteristic
1400C4⋊C8C22×D7911yescharacteristic
1401C4⋊C8C22×D7911yescharacteristic
1402C4⋊C8C22×D7911yescharacteristic
1403C22⋊C8—791no—
1404C22⋊C8—791no—
1405C22⋊C8—791no—
1406C22⋊C8—791no—
1407C22⋊C8—791no—
1408C22⋊C8—791no—
1409C22⋊C8—791no—
1410C22⋊C8—791no—
1411C22⋊C8—791no—
1412C22⋊C8—791no—
1413C22⋊C8—791no—
1414C22⋊C8—791no—
1415C22⋊C8—791no—
1416C22⋊C8—791no—
1417C22⋊C8—791no—
1418C22⋊C8—791no—
1419C22⋊C8—791no—
1420C22⋊C8—791no—
1421C22⋊C8—791no—
1422C22⋊C8—791no—
1423C22⋊C8—791no—
1424C22⋊C8—791no—
1425C22⋊C8—791no—
1426C22⋊C8—791no—
1427C22⋊C8—791no—
1428C22⋊C8—791no—
1429C22⋊C8—791no—
1430C22⋊C8—791no—
1431C22⋊C8—791no—
1432C22⋊C8—791no—
1433C22⋊C8—791no—
1434C22⋊C8—791no—
1435C22⋊C8—791no—
1436C22⋊C8—791no—
1437C22⋊C8—791no—
1438C22⋊C8—791no—
1439C22⋊C8C22×D7911yescharacteristic
1440C22⋊C8C22×D7911yescharacteristic
1441C22⋊C8C22×D7911yescharacteristic
1442C22⋊C8C22×D7911yescharacteristic
1443C22⋊C8C22×D7911yescharacteristic
1444C22⋊C8C22×D7911yescharacteristic
1445C22⋊C8C22×D7911yescharacteristic
1446C22⋊C8C22×D7911yescharacteristic
1447C22⋊C8C22×D7911yescharacteristic
1448C22⋊C8C22×D7911yescharacteristic
1449C22⋊C8C22×D7911yescharacteristic
1450C22⋊C8C22×D7911yescharacteristic
1451#97—791no—
1452#97—791no—
1453#97—791no—
1454#97—791no—
1455#97—791no—
1456#97—791no—
1457#97—791no—
1458#97—791no—
1459#97C22×D7911yescharacteristic
1460#97C22×D7911yescharacteristic
1461C4×C8—791no—
1462C4×C8—791no—
1463C4×C8—791no—
1464C4×C8—791no—
1465C4×C8C22×D7911yescharacteristic
1466C4×C8C22×D7911yescharacteristic
1467C24—791no—
1468C24—791no—
1469C24—791no—
1470C24—791no—
1471C24—791no—
1472C24C2×C4×D7911yescharacteristic
1473#41—41no—
1474#41—41no—
1475#41—3161no—
1476#41—3161no—
1477#41—3161no—
1478#41—3161no—
1479#41—3161no—
1480#41—3161no—
1481#41—3162no—
1482#41—3162no—
1483#41—3162no—
1484#41—3162no—
1485#41—3162no—
1486#41—3162no—
1487#41—3162no—
1488#41—3162no—
1489#41—1582no—
1490#41—1582no—
1491#41—1582no—
1492#41—1582no—
1493#41—1582no—
1494#41—1582no—
1495C2×Q8—3162no—
1496C2×Q8—3162no—
1497C2×Q8—791no—
1498C2×Q8—791no—
1499C2×Q8—791no—
1500C2×Q8—791no—
1501C2×Q8—791no—
1502C2×Q8—791no—
1503C2×Q8C2×C4×D7911yescharacteristic
1504C2×D4—3162no—
1505C2×D4—3162no—
1506C2×D4—3162no—
1507C2×D4—3162no—
1508C2×D4—3162no—
1509C2×D4—3162no—
1510C2×D4—3162no—
1511C2×D4—3162no—
1512C2×D4—3162no—
1513C2×D4—791no—
1514C2×D4—791no—
1515C2×D4—791no—
1516C2×D4—791no—
1517C2×D4—791no—
1518C2×D4—791no—
1519C2×D4—791no—
1520C2×D4—791no—
1521C2×D4—791no—
1522C2×D4—791no—
1523C2×D4—791no—
1524C2×D4—791no—
1525C2×D4—791no—
1526C2×D4—791no—
1527C2×D4—791no—
1528C2×D4—791no—
1529C2×D4—791no—
1530C2×D4—791no—
1531C2×D4—791no—
1532C2×D4—791no—
1533C2×D4—791no—
1534C2×D4—791no—
1535C2×D4—791no—
1536C2×D4—791no—
1537C2×D4—791no—
1538C2×D4—791no—
1539C2×D4—791no—
1540C2×D4—791no—
1541C2×D4—791no—
1542C2×D4—791no—
1543C2×D4C2×C4×D7911yescharacteristic
1544C2×D4C2×C4×D7911yescharacteristic
1545C2×D4C2×C4×D7911yescharacteristic
1546C2×D4C2×C4×D7911yescharacteristic
1547C2×D4C2×C4×D7911yescharacteristic
1548C2×D4C2×C4×D7911yescharacteristic
1549C2×D4C2×C4×D7911yescharacteristic
1550C22×C4—41no—
1551C22×C4—41no—
1552C22×C4—3161no—
1553C22×C4—3161no—
1554C22×C4—3161no—
1555C22×C4—3161no—
1556C22×C4—3161no—
1557C22×C4—3161no—
1558C22×C4—791no—
1559C22×C4—791no—
1560C22×C4—791no—
1561C22×C4—791no—
1562C22×C4—791no—
1563C22×C4—791no—
1564C22×C4—791no—
1565C22×C4—791no—
1566C22×C4—791no—
1567C22×C4—791no—
1568C22×C4—791no—
1569C22×C4—791no—
1570C22×C4—791no—
1571C22×C4—791no—
1572C22×C4—791no—
1573C22×C4—791no—
1574C22×C4—791no—
1575C22×C4—791no—
1576C22×C4—791no—
1577C22×C4—791no—
1578C22×C4—791no—
1579C22×C4—791no—
1580C22×C4—791no—
1581C22×C4—791no—
1582C22×C4—791no—
1583C22×C4—791no—
1584C22×C4—791no—
1585C22×C4—1582no—
1586C22×C4—1582no—
1587C22×C4—1582no—
1588C22×C4—1582no—
1589C22×C4C2×C4×D7911yescharacteristic
1590C22×C4C2×C4×D7911yescharacteristic
1591C22×C4C2×C4×D7911yescharacteristic
1592C22×C4C23×D7911yescharacteristic
1593C22×C4C23×D7911yescharacteristic
1594C22×C4C23×D7911yescharacteristic
1595C22×C4C23×D7911yescharacteristic
1596C22×C4C23×D7911yescharacteristic
1597M16—41no—
1598M16—41no—
1599M16—41no—
1600M16—41no—
1601M16—3161no—
1602M16—3161no—
1603M16—3161no—
1604M16—3161no—
1605M16—3161no—
1606M16—3161no—
1607M16—3161no—
1608M16—3161no—
1609M16—3161no—
1610M16—3161no—
1611M16—3161no—
1612M16—3161no—
1613M16—1582no—
1614M16—1582no—
1615M16—1582no—
1616M16—1582no—
1617C2×C8—41no—
1618C2×C8—41no—
1619C2×C8—41no—
1620C2×C8—41no—
1621C2×C8—3161no—
1622C2×C8—3161no—
1623C2×C8—3161no—
1624C2×C8—3161no—
1625C2×C8—3161no—
1626C2×C8—3161no—
1627C2×C8—3161no—
1628C2×C8—3161no—
1629C2×C8—3161no—
1630C2×C8—3161no—
1631C2×C8—3161no—
1632C2×C8—3161no—
1633C2×C8—791no—
1634C2×C8—791no—
1635C2×C8—791no—
1636C2×C8—791no—
1637C2×C8—791no—
1638C2×C8—791no—
1639C2×C8—791no—
1640C2×C8—791no—
1641C2×C8—1582no—
1642C2×C8—1582no—
1643C2×C8—1582no—
1644C2×C8—1582no—
1645C2×C8C23×D7911yescharacteristic
1646C2×C8C23×D7911yescharacteristic
1647C2×C8C23×D7911yescharacteristic
1648C2×C8C23×D7911yescharacteristic
1649C2×C8C23×D7911yescharacteristic
1650C2×C8C23×D7911yescharacteristic
1651C2×C8C23×D7911yescharacteristic
1652C2×C8C23×D7911yescharacteristic
1653C4⋊C4—791no—
1654C4⋊C4—791no—
1655C4⋊C4—791no—
1656C4⋊C4—791no—
1657C4⋊C4—791no—
1658C4⋊C4—791no—
1659C4⋊C4—791no—
1660C4⋊C4—791no—
1661C4⋊C4—791no—
1662C4⋊C4—791no—
1663C4⋊C4—791no—
1664C4⋊C4—791no—
1665C4⋊C4—791no—
1666C4⋊C4—791no—
1667C4⋊C4—791no—
1668C4⋊C4—791no—
1669C4⋊C4C2×C4×D7911yescharacteristic
1670C4⋊C4C2×C4×D7911yescharacteristic
1671C4⋊C4C2×C4×D7911yescharacteristic
1672C4⋊C4C2×C4×D7911yescharacteristic
1673C4⋊C4C2×C4×D7911yescharacteristic
1674C4⋊C4C2×C4×D7911yescharacteristic
1675C22⋊C4—791no—
1676C22⋊C4—791no—
1677C22⋊C4—791no—
1678C22⋊C4—791no—
1679C22⋊C4—791no—
1680C22⋊C4—791no—
1681C22⋊C4—791no—
1682C22⋊C4—791no—
1683C22⋊C4—791no—
1684C22⋊C4—791no—
1685C22⋊C4—791no—
1686C22⋊C4—791no—
1687C22⋊C4—791no—
1688C22⋊C4—791no—
1689C22⋊C4—791no—
1690C22⋊C4—791no—
1691C22⋊C4—791no—
1692C22⋊C4—791no—
1693C22⋊C4—791no—
1694C22⋊C4—791no—
1695C22⋊C4—791no—
1696C22⋊C4—791no—
1697C22⋊C4—791no—
1698C22⋊C4—791no—
1699C22⋊C4—791no—
1700C22⋊C4—791no—
1701C22⋊C4—791no—
1702C22⋊C4—791no—
1703C22⋊C4C2×C4×D7911yescharacteristic
1704C22⋊C4C2×C4×D7911yescharacteristic
1705C22⋊C4C2×C4×D7911yescharacteristic
1706C22⋊C4C2×C4×D7911yescharacteristic
1707C22⋊C4C2×C4×D7911yescharacteristic
1708C22⋊C4C2×C4×D7911yescharacteristic
1709C22⋊C4C2×C4×D7911yescharacteristic
1710C22⋊C4C2×C4×D7911yescharacteristic
1711C22⋊C4C2×C4×D7911yescharacteristic
1712C22⋊C4C2×C4×D7911yescharacteristic
1713C42—791no—
1714C42—791no—
1715C42—791no—
1716C42—791no—
1717C42—791no—
1718C42—791no—
1719C42—791no—
1720C42—791no—
1721C42C23×D7911yescharacteristic
1722C42C23×D7911yescharacteristic
1723C23—22no—
1724C23—41no—
1725C23—41no—
1726C23—3161no—
1727C23—3161no—
1728C23—3161no—
1729C23—3161no—
1730C23—3161no—
1731C23—3161no—
1732C23—3161no—
1733C23—3161no—
1734C23—3161no—
1735C23—3161no—
1736C23—3161no—
1737C23—791no—
1738C23—791no—
1739C23—791no—
1740C23—791no—
1741C23—791no—
1742C23—791no—
1743C23—1582no—
1744C23—1582no—
1745C23—1582no—
1746C23—1582no—
1747C23C22×C4×D7911yescharacteristic
1748C23C22×C4×D7911yescharacteristic
1749C23C22×C4×D7911yescharacteristic
1750C23C22×C4×D7911yescharacteristic
1751C23C22×C4×D7911yescharacteristic
1752Q8—41no—
1753Q8—3161no—
1754Q8—3161no—
1755Q8—3161no—
1756Q8—1582no—
1757Q8—1582no—
1758Q8—1582no—
1759D4—22no—
1760D4—22no—
1761D4—41no—
1762D4—41no—
1763D4—41no—
1764D4—41no—
1765D4—41no—
1766D4—3161no—
1767D4—3161no—
1768D4—3161no—
1769D4—3161no—
1770D4—3161no—
1771D4—3161no—
1772D4—3161no—
1773D4—3161no—
1774D4—3161no—
1775D4—3161no—
1776D4—3161no—
1777D4—3161no—
1778D4—3161no—
1779D4—3161no—
1780D4—3161no—
1781D4—3161no—
1782D4—3161no—
1783D4—3161no—
1784D4—3161no—
1785D4—1582no—
1786D4—1582no—
1787D4—1582no—
1788D4—1582no—
1789D4—1582no—
1790D4—1582no—
1791D4—1582no—
1792D4—1582no—
1793D4—1582no—
1794D4—1582no—
1795D4—1582no—
1796C2×C4—21no—
1797C2×C4—21no—
1798C2×C4—21no—
1799C2×C4—21no—
1800C2×C4—21no—
1801C2×C4—21no—
1802C2×C4—21no—
1803C2×C4—21no—
1804C2×C4—21no—
1805C2×C4—21no—
1806C2×C4—41no—
1807C2×C4—41no—
1808C2×C4—41no—
1809C2×C4—3161no—
1810C2×C4—3161no—
1811C2×C4—3161no—
1812C2×C4—3161no—
1813C2×C4—3161no—
1814C2×C4—3161no—
1815C2×C4—3161no—
1816C2×C4—3161no—
1817C2×C4—3161no—
1818C2×C4—3161no—
1819C2×C4—3161no—
1820C2×C4—3161no—
1821C2×C4—3161no—
1822C2×C4—3161no—
1823C2×C4—3161no—
1824C2×C4—791no—
1825C2×C4—792no—
1826C2×C4—792no—
1827C2×C4—791no—
1828C2×C4—791no—
1829C2×C4—791no—
1830C2×C4—791no—
1831C2×C4—791no—
1832C2×C4—791no—
1833C2×C4—791no—
1834C2×C4—791no—
1835C2×C4—791no—
1836C2×C4—1582no—
1837C2×C4—1582no—
1838C2×C4—1582no—
1839C2×C4—1582no—
1840C2×C4—1582no—
1841C2×C4—1582no—
1842C2×C4—1581no—
1843C2×C4—1581no—
1844C2×C4—1581no—
1845C2×C4—1581no—
1846C2×C4—1581no—
1847C2×C4—1581no—
1848C2×C4—1581no—
1849C2×C4—1581no—
1850C2×C4—1581no—
1851C2×C4—1581no—
1852C2×C4C22×C4×D7911yescharacteristic
1853C2×C4C22×C4×D7911yescharacteristic
1854C2×C4C22×C4×D7911yescharacteristic
1855C2×C4C22×C4×D7911yescharacteristic
1856C2×C4C22×C4×D7911yescharacteristic
1857C2×C4C22×C4×D7911yescharacteristic
1858C2×C4C22×C4×D7911yescharacteristic
1859C2×C4C22×C4×D7911yescharacteristic
1860C2×C4C22×C4×D7911yescharacteristic
1861C2×C4C24×D7911yescharacteristic
1862C8—21no—
1863C8—21no—
1864C8—21no—
1865C8—21no—
1866C8—21no—
1867C8—21no—
1868C8—21no—
1869C8—21no—
1870C8—1581no—
1871C8—1581no—
1872C8—1581no—
1873C8—1581no—
1874C8—1581no—
1875C8—1581no—
1876C8—1581no—
1877C8—1581no—
1878C22—21no—
1879C22—21no—
1880C22—21no—
1881C22—21no—
1882C22—21no—
1883C22—21no—
1884C22—21no—
1885C22—21no—
1886C22—21no—
1887C22—21no—
1888C22—21no—
1889C22—21no—
1890C22—21no—
1891C22—21no—
1892C22—82no—
1893C22—3164no—
1894C22—792no—
1895C22—6322no—
1896C22—6322no—
1897C22—6322no—
1898C22—6322no—
1899C22—1581no—
1900C22—1581no—
1901C22—1581no—
1902C22—1581no—
1903C22—1581no—
1904C22—1581no—
1905C22—1581no—
1906C22—1581no—
1907C22—1581no—
1908C22—1581no—
1909C22—1581no—
1910C22—1581no—
1911C22—1581no—
1912C22—1581no—
1913C22—1581no—
1914C22—1581no—
1915C22—1581no—
1916C22#1909932812yes—
1917C22C23×C4×D7911yescharacteristic
1918C4—21no—
1919C4—21no—
1920C4—21no—
1921C4—21no—
1922C4—21no—
1923C4—21no—
1924C4—21no—
1925C4—21no—
1926C4—21no—
1927C4—792no—
1928C4—1581no—
1929C4—1581no—
1930C4—1581no—
1931C4—1581no—
1932C4—1581no—
1933C4—1581no—
1934C4—1581no—
1935C4—1581no—
1936C4—1581no—
1937C4H(5,𝔽2)×D7911yescharacteristic
1938C4H(5,𝔽2)×D7911yescharacteristic
1939C2—22no—
1940C2—41no—
1941C2—41no—
1942C2—41no—
1943C2—41no—
1944C2—3161no—
1945C2—3161no—
1946C2—3161no—
1947C2—3161no—
1948C2—3161no—
1949C2—1582no—
1950C2#518×D7911yescharacteristic
1951C2C2×#1909932811yescharacteristic
1952C2#2377811311yescharacteristic
subgroupG/H
center, FrattiniC2×C4C24×D79
commutator, socleC22×C79C24×C4
FittingC79×#2976C2
prime radical#23776883C2
cosocleC2×C4×C79C25
hypercenter#2976D79
hypocenterC79#60240
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C2×C4 ◁ #2976

Complements

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

NH ≅ G/Ntype
2. #23772477C2semidirect
3. #23772473C2semidirect
4. #23772469C2semidirect
5. #23772468C2semidirect
6. #23772461C2semidirect
7. #23772457C2semidirect
8. #23772456C2semidirect
9. #23772453C2semidirect
10. #23772449C2semidirect
11. #23772449C2semidirect
12. #23772446C2semidirect
13. #23772436C2semidirect
14. #23772433C2semidirect
15. #23772426C2semidirect
16. #23772425C2semidirect
17. #23772145C2semidirect
18. D4×#11929607C2semidirect
19. #23772126C2semidirect
20. #23772120C2semidirect
21. #23772114C2semidirect
22. #23772100C2semidirect
23. #23772091C2semidirect
24. #435×D79C2semidirect
25. #23772063C2semidirect
26. #23772048C2semidirect
27. #23771850C2semidirect
28. #23771848C2semidirect
29. #23771842C2semidirect
30. C2×#19098528C2semidirect
31. C79×#2976C2semidirect
34. C2×#14579169C22semidirect
35. C2×#14579169C22semidirect
36. C2×#14579169C22semidirect
37. C2×#14579167C22semidirect
38. C22×#11929607C22semidirect
39. C22×#11929607C22semidirect
40. C2×M16×D79C22semidirect
41. C22×C8×D79C22semidirect
70. #19098642C22semidirect
71. #19098642C22semidirect
72. #19098642C22semidirect
73. #19098640C22semidirect
74. #19098640C22semidirect
75. #19098640C22semidirect
76. #19098639C22semidirect
77. #19098639C22semidirect
78. #19098639C22semidirect
79. #19098638C22semidirect
80. #19098637C22semidirect
81. #19098637C22semidirect
82. #19098637C22semidirect
83. #19098636C22semidirect
84. #19098636C22semidirect
85. #19098636C22semidirect
86. #19098636C22semidirect
87. #19098635C22semidirect
88. #19098635C22semidirect
89. #19098635C22semidirect
90. #19098635C22semidirect
93. #19098634C22semidirect
94. #19098634C22semidirect
95. #19098634C22semidirect
96. #19098634C22semidirect
97. #19098634C22semidirect
98. #19098633C22semidirect
99. #19098633C22semidirect
100. #19098633C22semidirect
101. #19098633C22semidirect
102. #19098632C22semidirect
103. #19098632C22semidirect
104. #19098632C22semidirect
105. #19098632C22semidirect
106. #19098632C22semidirect
109. #19098631C22semidirect
110. #19098631C22semidirect
111. #19098631C22semidirect
112. #19098631C22semidirect
113. #19098631C22semidirect
114. #19098631C22semidirect
115. #19098631C22semidirect
116. C8×D316C22semidirect
117. D4×C79⋊C8C22semidirect
118. D4×C79⋊C8C22semidirect
119. D4×C79⋊C8C22semidirect
120. D4×C79⋊C8C22semidirect
121. #19098628C22semidirect
122. C8×C22⋊D79C22semidirect
123. (C22⋊D79)⋊C8C22semidirect
124. (C22⋊D79)⋊C8C22semidirect
125. (C22⋊D79)⋊C8C22semidirect
126. #19098625C22semidirect
127. #19098624C22semidirect
128. #19098624C22semidirect
129. #19098623C22semidirect
130. #19098623C22semidirect
131. #19098622C22semidirect
132. #19098619C22semidirect
133. #19098619C22semidirect
134. #19098618C22semidirect
135. #19098617C22semidirect
136. #19098617C22semidirect
137. #19098617C22semidirect
138. #19098614C22semidirect
139. #19098613C22semidirect
140. #19098588C22semidirect
141. #19098588C22semidirect
142. #19098585C22semidirect
143. C4⋊C8×D79C22semidirect
144. #19098531C22semidirect
145. #19098531C22semidirect
146. #19098531C22semidirect
147. #19098530C22semidirect
148. #19098530C22semidirect
149. #19098529C22semidirect
154. #19098528C22semidirect
155. #19098528C22semidirect
156. #19098528C22semidirect
157. #19098528C22semidirect
158. #19098528C22semidirect
159. #19098528C22semidirect
160. #19098528C22semidirect
161. #19098528C22semidirect
162. #19098528C22semidirect
163. #19098528C22semidirect
164. #19098528C22semidirect
165. #19098528C22semidirect
166. #19098526C22semidirect
167. #19098525C22semidirect
168. #19098525C22semidirect
169. #19098525C22semidirect
170. #19098525C22semidirect
171. #19098525C22semidirect
172. #19098525C22semidirect
173. #19098525C22semidirect
174. #19098525C22semidirect
175. C2×C22⋊(C79⋊C8)C22semidirect
176. C2×C22⋊(C79⋊C8)C22semidirect
177. C2×(C2×D79)⋊C8C22semidirect
178. C2×(C2×D79)⋊C8C22semidirect
179. C2×(C2×D79)⋊C8C22semidirect
180. C22⋊C8×D79C22semidirect
181. C22⋊C8×D79C22semidirect
182. C22⋊C8×D79C22semidirect
183. C22⋊C8×D79C22semidirect
184. #19098520C22semidirect
185. #19098517C22semidirect
186. C4×#11929607C22semidirect
187. #97×D79C22semidirect
189. #436×C79C22semidirect
190. #436×C79C22semidirect
191. #435×C79C22semidirect
192. #435×C79C22semidirect
193. #435×C79C22semidirect
194. #435×C79C22semidirect
195. C8×D4×C79C22semidirect
196. C8×D4×C79C22semidirect
197. #433×C79C22semidirect
198. #433×C79C22semidirect
199. #408×C79C22semidirect
200. #408×C79C22semidirect
201. #407×C79C22semidirect
202. C2×C22⋊C8×C79C22semidirect
989. #2976D79semidirect
1008. C79#60240semidirect
1058. #436C2×D79semidirect
1059. #436C2×D79semidirect
1096. #435C2×D79semidirect
1097. #435C2×D79semidirect
1098. #435C2×D79semidirect
1099. #435C2×D79semidirect
1110. C8×D4C2×D79semidirect
1111. C8×D4C2×D79semidirect
1118. #433C2×D79semidirect
1119. #433C2×D79semidirect
1154. #408C2×D79semidirect
1155. #408C2×D79semidirect
1165. #407C2×D79semidirect
1175. C2×C22⋊C8C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237768832
#237724772
#237724732
#237724692
#237724682
#237724612
#237724572
#237724562
#237724532
#237724492
#237724462
#237724362
#237724332
#237724262
#237724252
#237721452
D4×#119296072
#237721262
#237721202
#237721142
#237721002
#237720912
#435×D792
#237720632
#237720482
#237718502
#237718482
#237718422
C2×#190985282
C79×#29762
#6024079