Finite Group Databasebeta

← #34495568

Subgroups — #34495568

Order 20224.

1962 conjugacy classes of subgroups.

The subgroup lattice has 1590 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23771691C211yesmaximal, characteristic, complemented
2#23771679C211yesmaximal, characteristic, complemented
3#23770605C211yesmaximal, characteristic, complemented
4#23770493C211yesmaximal, characteristic, complemented
5#23770485C211yesmaximal, characteristic, complemented
6#23770460C211yesmaximal, characteristic, complemented
7#23770459C211yesmaximal, characteristic, complemented
8#23770239C211yesmaximal, characteristic, complemented
9#23770050C211yesmaximal, characteristic, complemented
10#23769964C211yesmaximal, characteristic, complemented
11#23769951C211yesmaximal, characteristic, complemented
12#23769906C211yesmaximal, characteristic, complemented
13#23769802C211yesmaximal, characteristic, complemented
14#23769775C211yesmaximal, characteristic, complemented
15#23769728C211yesmaximal, characteristic, complemented
16#23769655C211yesmaximal, characteristic, complemented
17#23769625C211yesmaximal, characteristic, complemented
18#23769577C211yesmaximal, characteristic, complemented
19#23769531C211yesmaximal, characteristic, complemented
20#23768944C211yesmaximal, characteristic, complemented
21#23768727C211yesmaximal, characteristic, complemented
22#23768503C211yesmaximal, characteristic, complemented
23#23768503C211yesmaximal, characteristic, complemented
24#23767605C211yesmaximal, characteristic, complemented
25#23767582C211yesmaximal, characteristic, complemented
26#23767551C211yesmaximal, characteristic, complemented
27#23767512C211yesmaximal, characteristic, complemented
28#23766185C211yesmaximal, characteristic, complemented
29#23766161C211yesmaximal, characteristic, complemented
30#23765780C211yesmaximal, characteristic, complemented
31C79×#2688C211yesmaximal, characteristic, complemented
32C23×C4×D79C2211yescharacteristic
33C2×#14579148C2211yescharacteristic
34C2×#14579147C2211yescharacteristic
35C2×#14579147C2211yescharacteristic
36C2×#14579144C2211yescharacteristic
37C2×#14579144C2211yescharacteristic
38C2×#14579143C2211yescharacteristic
39C2×#14579143C2211yescharacteristic
40C2×#14579142C2211yescharacteristic, complemented
41C2×#14579140C2211yescharacteristic, complemented
42C2×#14579132C2211yescharacteristic
43C2×#14579132C2211yescharacteristic
44C2×#14579129C2211yescharacteristic
45C2×#14579129C2211yescharacteristic
46C2×#14579129C2211yescharacteristic
47C2×#14579117C2211yescharacteristic
48C2×#14579117C2211yescharacteristic
49#19098505C2211yescharacteristic, complemented
50#19098505C2211yescharacteristic, complemented
51#19098504C2211yescharacteristic, complemented
52#19098504C2211yescharacteristic, complemented
53#19098499C2211yescharacteristic, complemented
54#19098496C2211yescharacteristic, complemented
55#19098495C2211yescharacteristic, complemented
56#19098492C2211yescharacteristic
57#19098491C2211yescharacteristic
58#19098491C2211yescharacteristic, complemented
59#19098491C2211yescharacteristic, complemented
60#19098491C2211yescharacteristic, complemented
61#19098491C2211yescharacteristic, complemented
62#19098490C2211yescharacteristic
63#19098490C2211yescharacteristic
64#19098489C2211yescharacteristic
65#19098488C2211yescharacteristic, complemented
66#19098487C2211yescharacteristic
67#19098486C2211yescharacteristic
68#19098486C2211yescharacteristic, complemented
69#19098485C2211yescharacteristic
70#19098484C2211yescharacteristic, complemented
71#19098483C2211yescharacteristic, complemented
72#19098483C2211yescharacteristic, complemented
73#19098479C2211yescharacteristic
74#19098479C2211yescharacteristic
75#19098479C2211yescharacteristic
76#19098478C2211yescharacteristic
77#19098477C2211yescharacteristic
78#19098477C2211yescharacteristic
79#19098477C2211yescharacteristic
80#19098477C2211yescharacteristic, complemented
81#19098477C2211yescharacteristic, complemented
82#19098476C2211yescharacteristic
83#19098476C2211yescharacteristic
84#19098475C2211yescharacteristic
85#19098475C2211yescharacteristic, complemented
86#19098475C2211yescharacteristic, complemented
87#19098471C2211yescharacteristic
88#19098471C2211yescharacteristic
89#19098471C2211yescharacteristic
90#19098471C2211yescharacteristic
91#19098467C2211yescharacteristic, complemented
92#19098467C2211yescharacteristic, complemented
93#19098466C2211yescharacteristic
94#19098466C2211yescharacteristic, complemented
95#19098466C2211yescharacteristic, complemented
96#19098463C2211yescharacteristic
97#19098463C2211yescharacteristic
98#19098463C2211yescharacteristic
99#19098463C2211yescharacteristic
100#19098460C2211yescharacteristic, complemented
101#19098457C2211yescharacteristic
102#19098457C2211yescharacteristic, complemented
103#19098457C2211yescharacteristic, complemented
104#19098457C2211yescharacteristic, complemented
105#19098456C2211yescharacteristic
106#19098456C2211yescharacteristic, complemented
107#19098456C2211yescharacteristic, complemented
108#19098456C2211yescharacteristic, complemented
109#19098453C2211yescharacteristic
110#19098453C2211yescharacteristic
111#19098452C2211yescharacteristic
112#19098452C2211yescharacteristic
113#19098451C2211yescharacteristic
114#19098451C2211yescharacteristic, complemented
115#19098451C2211yescharacteristic, complemented
116#19098451C2211yescharacteristic, complemented
117#19098450C2211yescharacteristic, complemented
118#19098450C2211yescharacteristic, complemented
119#19098448C2211yescharacteristic, complemented
120#19098448C2211yescharacteristic, complemented
121#19098448C2211yescharacteristic, complemented
122#19098448C2211yescharacteristic, complemented
123#19098448C2211yescharacteristic, complemented
124#19098446C2211yescharacteristic, complemented
125#19098446C2211yescharacteristic, complemented
126#19098445C2211yescharacteristic, complemented
127#19098444C2211yescharacteristic, complemented
128#19098444C2211yescharacteristic, complemented
129#19098443C2211yescharacteristic
130#19098443C2211yescharacteristic
131#19098443C2211yescharacteristic
132#19098443C2211yescharacteristic
133#19098443C2211yescharacteristic, complemented
134#19098442C2211yescharacteristic
135#19098442C2211yescharacteristic
136#19098440C2211yescharacteristic
137#19098440C2211yescharacteristic
138#19098439C2211yescharacteristic
139#19098439C2211yescharacteristic
140#19098439C2211yescharacteristic
141#19098439C2211yescharacteristic
142#19098439C2211yescharacteristic
143#19098439C2211yescharacteristic
144#19098438C2211yescharacteristic
145#19098437C2211yescharacteristic
146#19098437C2211yescharacteristic
147#19098436C2211yescharacteristic
148#19098436C2211yescharacteristic, complemented
149#19098430C2211yescharacteristic, complemented
150#19098426C2211yescharacteristic
151#19098425C2211yescharacteristic
152#19098425C2211yescharacteristic
153#19098423C2211yescharacteristic
154#19098422C2211yescharacteristic
155#19098422C2211yescharacteristic
156#19098422C2211yescharacteristic
157#19098422C2211yescharacteristic
158#19098421C2211yescharacteristic, complemented
159#19098420C2211yescharacteristic
160#19098420C2211yescharacteristic
161#19098418C2211yescharacteristic
162#19098418C2211yescharacteristic
163#19098418C2211yescharacteristic
164C4⋊C4×Dic79C2211yescharacteristic, complemented
165C22⋊C4×Dic79C2211yescharacteristic, complemented
166C4×C22⋊Dic79C2211yescharacteristic, complemented
167C4×C22⋊Dic79C2211yescharacteristic, complemented
168#19098410C2211yescharacteristic
169#19098410C2211yescharacteristic
170#19098410C2211yescharacteristic
171#19098410C2211yescharacteristic
172C2×#121×C79C2211yescharacteristic
173C2×#121×C79C2211yescharacteristic
174#400×C79C2211yescharacteristic, complemented
175#397×C79C2211yescharacteristic, complemented
176#397×C79C2211yescharacteristic, complemented
177#394×C79C2211yescharacteristic
178#392×C79C2211yescharacteristic
179#392×C79C2211yescharacteristic, complemented
180#386×C79C2211yescharacteristic
181#386×C79C2211yescharacteristic
182#386×C79C2211yescharacteristic, complemented
183#386×C79C2211yescharacteristic, complemented
184#386×C79C2211yescharacteristic, complemented
185#385×C79C2211yescharacteristic, complemented
186#381×C79C2211yescharacteristic
187C24×D79C2311yescharacteristic
188C22×Dic158C2311yescharacteristic
189C22×Dic158C2311yescharacteristic
190C22×C22⋊D79C2311yescharacteristic
191C22×C22⋊D79C2311yescharacteristic
192C22×C22⋊D79C2311yescharacteristic
193C22×C22⋊D79C2311yescharacteristic
194C22×C22⋊D79C2311yescharacteristic
195C22×C22⋊D79C2311yescharacteristic
196C23×Dic79C2311yescharacteristic
197C23×Dic79C2311yescharacteristic
198C22×C4×D79—24no—
199C22×C4×D79—42no—
200C22×C4×D79—42no—
201C22×C4×D79C2311yescharacteristic
202C22×C4×D79C2311yescharacteristic
203C22×C4×D79C2311yescharacteristic
204C22×C4×D79C2311yescharacteristic
205#14579148—42no—
206#14579147—42no—
207#14579147—42no—
208#14579144—42no—
209#14579144—42no—
210#14579143—24no—
211#14579143—42no—
212#14579142—42no—
213#14579140—42no—
214#14579132—24no—
215#14579132—42no—
216#14579129—42no—
217#14579129—42no—
218#14579129—42no—
219#14579117—42no—
220#14579117—42no—
221C2×C4⋊Dic79C2311yescharacteristic
222C2×C4⋊Dic79C2311yescharacteristic
223C2×C4⋊Dic79C2311yescharacteristic
224C2×C4⋊Dic79C2311yescharacteristic
225C2×C4⋊Dic79C2311yescharacteristic
226C2×C4⋊Dic79C2311yescharacteristic
227C2×C4⋊Dic79C2311yescharacteristic
228C2×Dic79⋊C4C2311yescharacteristic
229C2×Dic79⋊C4C2311yescharacteristic
230C2×Dic79⋊C4C2311yescharacteristic
231C2×Dic79⋊C4C2311yescharacteristic
232C2×Dic79⋊C4C2311yescharacteristic
233C2×Dic79⋊C4C2311yescharacteristic
234C2×Dic79⋊C4C2311yescharacteristic
235C2×Dic79⋊C4C2311yescharacteristic
236C2×Dic79⋊C4C2311yescharacteristic
237C2×Dic79⋊C4C2311yescharacteristic
238C2×Dic79⋊C4C2311yescharacteristic
239C2×Dic79⋊C4C2311yescharacteristic
240C2×Dic79⋊C4C2311yescharacteristic
241C2×Dic79⋊C4C2311yescharacteristic
242C2×C22⋊Dic79C2311yescharacteristic
243C2×C22⋊Dic79C2311yescharacteristic
244C2×C22⋊Dic79C2311yescharacteristic
245C2×C22⋊Dic79C2311yescharacteristic
246C2×C22⋊Dic79C2311yescharacteristic
247C2×C22⋊Dic79C2311yescharacteristic
248C2×C22⋊Dic79C2311yescharacteristic
249C2×C22⋊Dic79C2311yescharacteristic
250C2×C22⋊Dic79C2311yescharacteristic
251C2×C22⋊Dic79C2311yescharacteristic
252C2×C22⋊Dic79C2311yescharacteristic
253C2×C22⋊Dic79C2311yescharacteristic
254C2×C22⋊Dic79C2311yescharacteristic
255C2×C22⋊Dic79C2311yescharacteristic
256C2×C22⋊Dic79C2311yescharacteristic
257C2×C22⋊Dic79C2311yescharacteristic
258C2×C22⋊Dic79C2311yescharacteristic
259C2×C22⋊Dic79C2311yescharacteristic
260C2×C22⋊Dic79C2311yescharacteristic
261C2×C22⋊Dic79C2311yescharacteristic
262C2×C22⋊Dic79C2311yescharacteristic
263C2×C22⋊Dic79C2311yescharacteristic
264C2×C22⋊Dic79C2311yescharacteristic
265C2×(C2×D79)⋊C4C2311yescharacteristic
266C2×(C2×D79)⋊C4C2311yescharacteristic
267C2×(C2×D79)⋊C4C2311yescharacteristic
268C2×(C2×D79)⋊C4C2311yescharacteristic
269C2×(C2×D79)⋊C4C2311yescharacteristic
270C2×(C2×D79)⋊C4C2311yescharacteristic
271C2×(C2×D79)⋊C4C2311yescharacteristic
272C2×(C2×D79)⋊C4C2311yescharacteristic
273C2×(C2×D79)⋊C4C2311yescharacteristic
274C2×(C2×D79)⋊C4C2311yescharacteristic
275C2×(C2×D79)⋊C4C2311yescharacteristic
276C2×(C2×D79)⋊C4C2311yescharacteristic
277C2×(C2×D79)⋊C4C2311yescharacteristic
278C2×(C2×D79)⋊C4C2311yescharacteristic
279C2×(C2×D79)⋊C4C2311yescharacteristic
280C2×(C2×D79)⋊C4C2311yescharacteristic
281C2×(C2×D79)⋊C4C2311yescharacteristic
282C2×(C2×D79)⋊C4C2311yescharacteristic
283C2×C4×Dic79C2311yescharacteristic
284C2×C4×Dic79C2311yescharacteristic
285C2×C4×Dic79C2311yescharacteristic
286C2×C4×Dic79C2311yescharacteristic
287C2×C4×Dic79C2311yescharacteristic
288C2×C4×Dic79C2311yescharacteristic
289C2×C4×Dic79C2311yescharacteristic
290C2×C4×Dic79C2311yescharacteristic
291C2×C4×Dic79C2311yescharacteristic
292C79⋊#95C2311yescharacteristic
293C79⋊#95C2311yescharacteristic
294C79⋊#95C2311yescharacteristic
295C79⋊#95C2311yescharacteristic
296C79⋊#95C2311yescharacteristic
297C79⋊#95C2311yescharacteristic
298C79⋊#95C2311yescharacteristic
299C79⋊#95C2311yescharacteristic
300C79⋊#95C2311yescharacteristic
301C79⋊#95C2311yescharacteristic
302C79⋊#95C2311yescharacteristic
303C79⋊#95C2311yescharacteristic
304C79⋊#95C2311yescharacteristic
305C79⋊#95C2311yescharacteristic
306C79⋊#95C2311yescharacteristic
307C79⋊#95C2311yescharacteristic
308C79⋊#95C2311yescharacteristic
309C79⋊#95C2311yescharacteristic
310C79⋊#95C2311yescharacteristic
311C79⋊#95C2311yescharacteristic
312C79⋊#95C2311yescharacteristic
313C79⋊#95C2311yescharacteristic
314C79⋊#95C2311yescharacteristic
315C79⋊#95C2311yescharacteristic
316C79⋊#95C2311yescharacteristic
317C79⋊#95C2311yescharacteristic
318C79⋊#95C2311yescharacteristic
319C79⋊#95C2311yescharacteristic
320C79⋊#95C2311yescharacteristic
321C79⋊#95C2311yescharacteristic
322C79⋊#95C2311yescharacteristic
323C79⋊#95C2311yescharacteristic
324C79⋊#95C2311yescharacteristic
325C79⋊#95C2311yescharacteristic
326C22×D4×C79C2311yescharacteristic
327C22×D4×C79C2311yescharacteristic
328C22×D4×C79C2311yescharacteristic
329C22×D4×C79C2311yescharacteristic
330C22×D4×C79C2311yescharacteristic
331C22×D4×C79C2311yescharacteristic
332C23×C4×C79C2311yescharacteristic
333C23×C4×C79C2311yescharacteristic
334C23×C4×C79C2311yescharacteristic
335#121×C79—42no—
336#121×C79—42no—
337C2×C4⋊C4×C79C2311yescharacteristic
338C2×C4⋊C4×C79C2311yescharacteristic
339C2×C4⋊C4×C79C2311yescharacteristic
340C2×C22⋊C4×C79C2311yescharacteristic
341C2×C22⋊C4×C79C2311yescharacteristic
342C2×C22⋊C4×C79C2311yescharacteristic
343C2×C22⋊C4×C79C2311yescharacteristic
344C2×C22⋊C4×C79C2311yescharacteristic
345C2×C22⋊C4×C79C2311yescharacteristic
346C2×C22⋊C4×C79C2311yescharacteristic
347C2×C22⋊C4×C79C2311yescharacteristic
348C2×C22⋊C4×C79C2311yescharacteristic
349C2×C22⋊C4×C79C2311yescharacteristic
350C2×C22⋊C4×C79C2311yescharacteristic
351C2×C22⋊C4×C79C2311yescharacteristic
352C2×C22⋊C4×C79C2311yescharacteristic
353#95×C79C2311yescharacteristic
354#95×C79C2311yescharacteristic
355#95×C79C2311yescharacteristic
356#95×C79C2311yescharacteristic
357#95×C79C2311yescharacteristic
358#95×C79C2311yescharacteristic
359#95×C79C2311yescharacteristic
360#95×C79C2311yescharacteristic
361#95×C79C2311yescharacteristic
362#95×C79C2311yescharacteristic
363C23×D79—22no—
364C23×D79—22no—
365C23×D79—22no—
366C23×D79—41no—
367C23×D79—41no—
368C23×D79—41no—
369C23×D79—41no—
370C23×D79C2411yescharacteristic
371C23×D79C2411yescharacteristic
372C2×Dic158—41no—
373C2×Dic158—41no—
374C2×Dic158—41no—
375C2×Dic158—41no—
376C2×Dic158—41no—
377C2×Dic158—41no—
378C2×C22⋊D79—22no—
379C2×C22⋊D79—22no—
380C2×C22⋊D79—22no—
381C2×C22⋊D79—22no—
382C2×C22⋊D79—22no—
383C2×C22⋊D79—22no—
384C2×C22⋊D79—41no—
385C2×C22⋊D79—41no—
386C2×C22⋊D79—41no—
387C2×C22⋊D79—41no—
388C2×C22⋊D79—41no—
389C2×C22⋊D79—41no—
390C2×C22⋊D79—41no—
391C2×C22⋊D79—41no—
392C2×C22⋊D79—41no—
393C2×C22⋊D79—41no—
394C2×C22⋊D79—41no—
395C2×C22⋊D79—41no—
396C22×Dic79—22no—
397C22×Dic79—22no—
398C22×Dic79—22no—
399C22×Dic79—41no—
400C22×Dic79—41no—
401C22×Dic79—41no—
402C22×Dic79C2411yescharacteristic
403C22×Dic79C2411yescharacteristic
404C22×Dic79C2411yescharacteristic
405C22×Dic79C2411yescharacteristic
406C22×Dic79C2411yescharacteristic
407C22×Dic79C2411yescharacteristic
408C22×Dic79C2411yescharacteristic
409C22×Dic79C2411yescharacteristic
410C22×Dic79C2411yescharacteristic
411C22×Dic79C2411yescharacteristic
412C22×Dic79C2411yescharacteristic
413C22×Dic79C2411yescharacteristic
414C22×Dic79C2411yescharacteristic
415C22×Dic79C2411yescharacteristic
416C2×C4×D79—22no—
417C2×C4×D79—22no—
418C2×C4×D79—22no—
419C2×C4×D79—22no—
420C2×C4×D79—22no—
421C2×C4×D79—41no—
422C2×C4×D79—41no—
423C2×C4×D79—41no—
424C2×C4×D79—41no—
425C2×C4×D79—41no—
426C2×C4×D79—41no—
427C2×C4×D79—416no—
428C2×C4×D79#4114yes—
429C4⋊Dic79—22no—
430C4⋊Dic79—22no—
431C4⋊Dic79—22no—
432C4⋊Dic79—41no—
433C4⋊Dic79—41no—
434C4⋊Dic79—41no—
435C4⋊Dic79—41no—
436Dic79⋊C4—22no—
437Dic79⋊C4—22no—
438Dic79⋊C4—22no—
439Dic79⋊C4—41no—
440Dic79⋊C4—41no—
441Dic79⋊C4—41no—
442Dic79⋊C4—41no—
443Dic79⋊C4—41no—
444Dic79⋊C4—41no—
445Dic79⋊C4—41no—
446Dic79⋊C4—41no—
447Dic79⋊C4—41no—
448Dic79⋊C4—41no—
449Dic79⋊C4—41no—
450C22⋊Dic79—22no—
451C22⋊Dic79—22no—
452C22⋊Dic79—22no—
453C22⋊Dic79—22no—
454C22⋊Dic79—22no—
455C22⋊Dic79—22no—
456C22⋊Dic79—22no—
457C22⋊Dic79—22no—
458C22⋊Dic79—41no—
459C22⋊Dic79—41no—
460C22⋊Dic79—41no—
461C22⋊Dic79—41no—
462C22⋊Dic79—41no—
463C22⋊Dic79—41no—
464C22⋊Dic79—41no—
465C22⋊Dic79—41no—
466C22⋊Dic79—41no—
467C22⋊Dic79—41no—
468C22⋊Dic79—41no—
469C22⋊Dic79—41no—
470C22⋊Dic79—41no—
471C22⋊Dic79—41no—
472C22⋊Dic79—41no—
473(C2×D79)⋊C4—22no—
474(C2×D79)⋊C4—22no—
475(C2×D79)⋊C4—22no—
476(C2×D79)⋊C4—22no—
477(C2×D79)⋊C4—22no—
478(C2×D79)⋊C4—22no—
479(C2×D79)⋊C4—41no—
480(C2×D79)⋊C4—41no—
481(C2×D79)⋊C4—41no—
482(C2×D79)⋊C4—41no—
483(C2×D79)⋊C4—41no—
484(C2×D79)⋊C4—41no—
485(C2×D79)⋊C4—41no—
486(C2×D79)⋊C4—41no—
487(C2×D79)⋊C4—41no—
488(C2×D79)⋊C4—41no—
489(C2×D79)⋊C4—41no—
490(C2×D79)⋊C4—41no—
491C4×Dic79—41no—
492C4×Dic79—41no—
493C4×Dic79—41no—
494C4×Dic79—41no—
495C4×Dic79—41no—
496C4×Dic79—41no—
497C4×Dic79—41no—
498C4×Dic79—41no—
499C4×Dic79—41no—
500C24×C79C2411yescharacteristic
501C24×C79C2411yescharacteristic
502C24×C79C2411yescharacteristic
503C24×C79C2411yescharacteristic
504C2×D4×C79—22no—
505C2×D4×C79—22no—
506C2×D4×C79—22no—
507C2×D4×C79—22no—
508C2×D4×C79—41no—
509C2×D4×C79—41no—
510C2×D4×C79—41no—
511C2×D4×C79—41no—
512C2×D4×C79—41no—
513C2×D4×C79—41no—
514C2×D4×C79—41no—
515C2×D4×C79—41no—
516C2×D4×C79—41no—
517C2×D4×C79—41no—
518C2×D4×C79—41no—
519C2×D4×C79—41no—
520C2×D4×C79—41no—
521C2×D4×C79—41no—
522C22×C4×C79—22no—
523C22×C4×C79—22no—
524C22×C4×C79—41no—
525C22×C4×C79—41no—
526C22×C4×C79—41no—
527C22×C4×C79—41no—
528C22×C4×C79—41no—
529C22×C4×C79—41no—
530C22×C4×C79—41no—
531C22×C4×C79C2411yescharacteristic
532C22×C4×C79C2411yescharacteristic
533C22×C4×C79C2411yescharacteristic
534C22×C4×C79C2411yescharacteristic
535C22×C4×C79C2411yescharacteristic
536C22×C4×C79C2411yescharacteristic
537C22×C4×C79C2411yescharacteristic
538C22×C4×C79C2411yescharacteristic
539C22×C4×C79C2411yescharacteristic
540C22×C4×C79C2411yescharacteristic
541C22×C4×C79C2411yescharacteristic
542C4⋊C4×C79—41no—
543C4⋊C4×C79—41no—
544C4⋊C4×C79—41no—
545C22⋊C4×C79—22no—
546C22⋊C4×C79—22no—
547C22⋊C4×C79—41no—
548C22⋊C4×C79—41no—
549C22⋊C4×C79—41no—
550C22⋊C4×C79—41no—
551C22⋊C4×C79—41no—
552C22⋊C4×C79—41no—
553C22⋊C4×C79—41no—
554C22⋊C4×C79—41no—
555C22⋊C4×C79—41no—
556C22⋊C4×C79—41no—
557C22⋊C4×C79—41no—
558C23×C79—21no—
559C23×C79—21no—
560C23×C79—21no—
561C23×C79—21no—
562C23×C79—21no—
563C23×C79—21no—
564C23×C79—21no—
565C23×C79—21no—
566C23×C79—21no—
567C23×C79—21no—
568C23×C79—21no—
569C23×C79—21no—
570C23×C79—21no—
571C23×C79—21no—
572C23×C79—21no—
573C23×C79—21no—
574C23×C79—21no—
575C23×C79—21no—
576C23×C79—21no—
577C23×C79—21no—
578C23×C79—21no—
579C23×C79—21no—
580C23×C79—21no—
581C23×C79—21no—
582C23×C79—21no—
583C23×C79—21no—
584C23×C79—21no—
585C23×C79H(5,𝔽2)12yes—
586C23×C79C2511yescharacteristic
587C22×D79—21no—
588C22×D79—21no—
589C22×D79—21no—
590C22×D79—21no—
591C22×D79—21no—
592C22×D79—21no—
593C22×D79—21no—
594C22×D79—21no—
595C22×D79—21no—
596C22×D79—21no—
597C22×D79—21no—
598C22×D79—21no—
599C22×D79—44no—
600C22×D79—44no—
601C22×D79—44no—
602C22×D79—44no—
603C22×D79—44no—
604C22×D79—44no—
605C22×D79—44no—
606C22×D79C2×#4112yes—
607C22×D79H(5,𝔽2)12yes—
608D4×C79—82no—
609D4×C79—82no—
610D4×C79—82no—
611D4×C79—82no—
612D4×C79—82no—
613D4×C79—82no—
614C2×C4×C79—21no—
615C2×C4×C79—21no—
616C2×C4×C79—21no—
617C2×C4×C79—21no—
618C2×C4×C79—21no—
619C2×C4×C79—21no—
620C2×C4×C79—21no—
621C2×C4×C79—21no—
622C2×C4×C79—21no—
623C2×C4×C79—21no—
624C2×C4×C79—21no—
625C2×C4×C79—21no—
626C2×C4×C79—21no—
627C2×C4×C79—21no—
628C2×C4×C79—21no—
629C2×C4×C79—21no—
630C2×C4×C79—21no—
631C2×C4×C79—21no—
632C2×C4×C79—21no—
633C2×C4×C79—21no—
634C2×C4×C79—21no—
635C2×C4×C79—21no—
636C2×C4×C79—21no—
637C2×C4×C79—21no—
638C2×C4×C79—21no—
639C2×C4×C79—21no—
640C2×C4×C79—21no—
641C2×C4×C79—21no—
642C2×C4×C79—21no—
643C2×C4×C79—21no—
644C2×C4×C79—21no—
645C2×C4×C79—21no—
646C2×C4×C79—44no—
647C2×C4×C79—82no—
648C2×C4×C79—82no—
649C2×C4×C79C2×#4112yes—
650C22⋊D79—82no—
651C22⋊D79—82no—
652C22⋊D79—82no—
653C22⋊D79—82no—
654C22⋊D79—82no—
655C22⋊D79—82no—
656C2×Dic79—28no—
657C2×Dic79—21no—
658C2×Dic79—21no—
659C2×Dic79—21no—
660C2×Dic79—21no—
661C2×Dic79—21no—
662C2×Dic79—21no—
663C2×Dic79—21no—
664C2×Dic79—21no—
665C2×Dic79—21no—
666C2×Dic79—21no—
667C2×Dic79—21no—
668C2×Dic79—21no—
669C2×Dic79—21no—
670C2×Dic79—21no—
671C2×Dic79—21no—
672C2×Dic79—21no—
673C2×Dic79—21no—
674C2×Dic79—21no—
675C2×Dic79—21no—
676C2×Dic79—21no—
677C2×Dic79—21no—
678C2×Dic79—21no—
679C2×Dic79—21no—
680C2×Dic79—21no—
681C2×Dic79—21no—
682C2×Dic79—21no—
683C2×Dic79—21no—
684C2×Dic79—21no—
685C2×Dic79—21no—
686C2×Dic79—21no—
687C2×Dic79—21no—
688C2×Dic79—21no—
689C2×Dic79—21no—
690C2×Dic79—21no—
691C2×Dic79—21no—
692C2×Dic79—21no—
693C2×Dic79—21no—
694C2×Dic79—21no—
695C2×Dic79—21no—
696C2×Dic79—21no—
697C2×Dic79—82no—
698C2×Dic79C2×#4112yes—
699C2×Dic79H(5,𝔽2)12yes—
700C4×D79—44no—
701C4×D79—44no—
702C4×D79—44no—
703C4×D79—44no—
704Dic158—82no—
705Dic158—82no—
706C22×C79—22no—
707C22×C79—22no—
708C22×C79—22no—
709C22×C79—41no—
710C22×C79—41no—
711C22×C79—41no—
712C22×C79—41no—
713C22×C79—41no—
714C22×C79—41no—
715C22×C79—41no—
716C22×C79—41no—
717C22×C79—41no—
718C22×C79—41no—
719C22×C79—41no—
720C22×C79—41no—
721C22×C79—41no—
722C22×C79—41no—
723C22×C79—41no—
724C22×C79—41no—
725C22×C79—41no—
726C22×C79—41no—
727C22×C79—41no—
728C22×C79—41no—
729C22×C79—41no—
730C22×C79—41no—
731C22×C79—41no—
732C22×C79—41no—
733C22×C79—41no—
734C22×C79C22×#4111yescharacteristic
735C22×C79C2×H(5,𝔽2)11yescharacteristic
736C22×C79C2×H(5,𝔽2)11yescharacteristic
737C22×C79C2×H(5,𝔽2)11yescharacteristic
738C22×C79#58511yescharacteristic
739C22×C79#58511yescharacteristic
740C22×C79#58511yescharacteristic
741C2×D79—22no—
742C2×D79—22no—
743C2×D79—22no—
744C2×D79—22no—
745C2×D79—22no—
746C2×D79—22no—
747C2×D79—416no—
748C2×D79—41no—
749C2×D79—41no—
750C2×D79—41no—
751C2×D79—41no—
752C2×D79—41no—
753C2×D79—41no—
754C2×D79—41no—
755C2×D79—41no—
756C4×C79—22no—
757C4×C79—41no—
758C4×C79—41no—
759C4×C79—41no—
760C4×C79—41no—
761C4×C79—41no—
762C4×C79—41no—
763C4×C79—41no—
764C4×C79—41no—
765C4×C79—41no—
766C4×C79—41no—
767Dic79—22no—
768Dic79—22no—
769Dic79—41no—
770Dic79—41no—
771Dic79—41no—
772Dic79—41no—
773Dic79—41no—
774Dic79—41no—
775Dic79—41no—
776Dic79—41no—
777Dic79—41no—
778Dic79—41no—
779Dic79—41no—
780Dic79—41no—
781#36735—791nomaximal, Sylow
782C2×C79—42no—
783C2×C79—81no—
784C2×C79—81no—
785C2×C79—81no—
786C2×C79#345511yescharacteristic
787C2×C79#349011yescharacteristic
788C2×C79#349411yescharacteristic
789C2×C79#353311yescharacteristic
790C2×C79#353411yescharacteristic
791C2×C79#354011yescharacteristic
792C2×C79#354211yescharacteristic
793D79—42no—
794D79—42no—
795#2849—791no—
796#2847—791no—
797#2747—791no—
798#2740—791no—
799#2739—791no—
800#2737—791no—
801#2737—791no—
802#2717—791no—
803#2703—791no—
804#2697—791no—
805#2696—791no—
806#2693—791no—
807#2688D7911yescharacteristic, complemented
808#2686—791no—
809#2684—791no—
810#2678—791no—
811#2672—791no—
812#2670—791no—
813#2665—791no—
814#2661—791no—
815#2597—791no—
816#2578—791no—
817#2557—791no—
818#2557—791no—
819#2477—791no—
820#2476—791no—
821#2474—791no—
822#2471—791no—
823#2335—791no—
824#2333—791no—
825#2280—791no—
826C79#3673511yescharacteristic, complemented, Sylow
827C24×C4—791no—
828C2×#124—791no—
829C2×#124—791no—
830C2×#124—791no—
831C2×#123—791no—
832C2×#123—791no—
833C2×#123—791no—
834C2×#123—791no—
835C2×#123—791no—
836C2×C22⋊Q8—791no—
837C2×#121—791no—
838C2×#121—791no—
839C2×#121C2×D7911yescharacteristic
840C2×#121C2×D7911yescharacteristic
841C2×#120—791no—
842C2×#120—791no—
843C2×#120—791no—
844C2×#117—791no—
845C2×#117—791no—
846#400—791no—
847#400—791no—
848#400—791no—
849#400—791no—
850#400C2×D7911yescharacteristic, complemented
851#399—791no—
852#398—791no—
853#398—791no—
854#397—791no—
855#397—791no—
856#397—791no—
857#397—791no—
858#397—791no—
859#397—791no—
860#397—791no—
861#397—791no—
862#397—791no—
863#397—791no—
864#397C2×D7911yescharacteristic, complemented
865#397C2×D7911yescharacteristic, complemented
866#396—791no—
867#396—791no—
868#396—791no—
869#396—791no—
870#395—791no—
871#395—791no—
872#395—791no—
873#394—791no—
874#394—791no—
875#394—791no—
876#394—791no—
877#394—791no—
878#394—791no—
879#394—791no—
880#394—791no—
881#394—791no—
882#394C2×D7911yescharacteristic
883#393—791no—
884#393—791no—
885#393—791no—
886#393—791no—
887#393—791no—
888#392—791no—
889#392—791no—
890#392—791no—
891#392—791no—
892#392C2×D7911yescharacteristic
893#392C2×D7911yescharacteristic, complemented
894#391—791no—
895#391—791no—
896#390—791no—
897#390—791no—
898#390—791no—
899#390—791no—
900#390—791no—
901#390—791no—
902#390—791no—
903#389—791no—
904#388—791no—
905#388—791no—
906#388—791no—
907#388—791no—
908#388—791no—
909#388—791no—
910#388—791no—
911#388—791no—
912#388—791no—
913#388—791no—
914#388—791no—
915#388—791no—
916#388—791no—
917#388—791no—
918#388—791no—
919#388—791no—
920#387—791no—
921#387—791no—
922#387—791no—
923#387—791no—
924#387—791no—
925#387—791no—
926#387—791no—
927#387—791no—
928#387—791no—
929#387—791no—
930#387—791no—
931#387—791no—
932#386—791no—
933#386—791no—
934#386—791no—
935#386—791no—
936#386—791no—
937#386—791no—
938#386—791no—
939#386—791no—
940#386—791no—
941#386—791no—
942#386—791no—
943#386—791no—
944#386—791no—
945#386—791no—
946#386—791no—
947#386C2×D7911yescharacteristic
948#386C2×D7911yescharacteristic
949#386C2×D7911yescharacteristic, complemented
950#386C2×D7911yescharacteristic, complemented
951#386C2×D7911yescharacteristic, complemented
952#385—791no—
953#385—791no—
954#385—791no—
955#385—791no—
956#385—791no—
957#385C2×D7911yescharacteristic, complemented
958#383—791no—
959#381—791no—
960#381—791no—
961#381—791no—
962#381C2×D7911yescharacteristic
963#380—791no—
964#380—791no—
965#380—791no—
966#380—791no—
967#380—791no—
968#380—791no—
969#380—791no—
970#380—791no—
971#379—791no—
972#379—791no—
973#379—791no—
974C4×C4⋊C4—791no—
975C4×C22⋊C4—791no—
976C4×C22⋊C4—791no—
977C4×C22⋊C4—791no—
978C4×C22⋊C4—791no—
979C4×C22⋊C4—791no—
980C4×C22⋊C4—791no—
981C4×C22⋊C4—791no—
982C25—791no—
983C22×Q8—791no—
984C22×Q8—791no—
985C22×D4—791no—
986C22×D4—791no—
987C22×D4—791no—
988C22×D4—791no—
989C22×D4—791no—
990C22×D4—791no—
991C22×D4C22×D7911yescharacteristic
992C22×D4C22×D7911yescharacteristic
993C22×D4C22×D7911yescharacteristic
994C22×D4C22×D7911yescharacteristic
995C22×D4C22×D7911yescharacteristic
996C22×D4C22×D7911yescharacteristic
997C23×C4—3162no—
998C23×C4—3162no—
999C23×C4—791no—
1000C23×C4—791no—
1001C23×C4—791no—
1002C23×C4—791no—
1003C23×C4—791no—
1004C23×C4—791no—
1005C23×C4—1584no—
1006C23×C4C22×D7911yescharacteristic
1007C23×C4C22×D7911yescharacteristic
1008C23×C4C22×D7911yescharacteristic
1009#124—3162no—
1010#124—3162no—
1011#124—3162no—
1012#123—3162no—
1013#123—3162no—
1014#123—3162no—
1015#123—3162no—
1016#123—1584no—
1017C22⋊Q8—3162no—
1018#121—42no—
1019#121—42no—
1020#121—3162no—
1021#121—1584no—
1022#120—3162no—
1023#120—3162no—
1024#120—3162no—
1025#117—3162no—
1026#117—3162no—
1027C2×C4⋊C4—791no—
1028C2×C4⋊C4—791no—
1029C2×C4⋊C4—791no—
1030C2×C4⋊C4—791no—
1031C2×C4⋊C4—791no—
1032C2×C4⋊C4—791no—
1033C2×C4⋊C4—791no—
1034C2×C4⋊C4—791no—
1035C2×C4⋊C4—791no—
1036C2×C4⋊C4—791no—
1037C2×C4⋊C4—791no—
1038C2×C4⋊C4—791no—
1039C2×C4⋊C4—791no—
1040C2×C4⋊C4—791no—
1041C2×C4⋊C4—791no—
1042C2×C4⋊C4—791no—
1043C2×C4⋊C4—791no—
1044C2×C4⋊C4—791no—
1045C2×C4⋊C4—791no—
1046C2×C4⋊C4—791no—
1047C2×C4⋊C4—791no—
1048C2×C4⋊C4C22×D7911yescharacteristic
1049C2×C4⋊C4C22×D7911yescharacteristic
1050C2×C4⋊C4C22×D7911yescharacteristic
1051C2×C22⋊C4—791no—
1052C2×C22⋊C4—791no—
1053C2×C22⋊C4—791no—
1054C2×C22⋊C4—791no—
1055C2×C22⋊C4—791no—
1056C2×C22⋊C4—791no—
1057C2×C22⋊C4—791no—
1058C2×C22⋊C4—791no—
1059C2×C22⋊C4—791no—
1060C2×C22⋊C4—791no—
1061C2×C22⋊C4—791no—
1062C2×C22⋊C4—791no—
1063C2×C22⋊C4—791no—
1064C2×C22⋊C4—791no—
1065C2×C22⋊C4—791no—
1066C2×C22⋊C4—791no—
1067C2×C22⋊C4—791no—
1068C2×C22⋊C4—791no—
1069C2×C22⋊C4—791no—
1070C2×C22⋊C4—791no—
1071C2×C22⋊C4—791no—
1072C2×C22⋊C4—791no—
1073C2×C22⋊C4—791no—
1074C2×C22⋊C4—791no—
1075C2×C22⋊C4—791no—
1076C2×C22⋊C4—791no—
1077C2×C22⋊C4—791no—
1078C2×C22⋊C4—791no—
1079C2×C22⋊C4—791no—
1080C2×C22⋊C4—791no—
1081C2×C22⋊C4—791no—
1082C2×C22⋊C4—791no—
1083C2×C22⋊C4—791no—
1084C2×C22⋊C4—791no—
1085C2×C22⋊C4—791no—
1086C2×C22⋊C4—791no—
1087C2×C22⋊C4—791no—
1088C2×C22⋊C4—791no—
1089C2×C22⋊C4—791no—
1090C2×C22⋊C4—791no—
1091C2×C22⋊C4—791no—
1092C2×C22⋊C4C22×D7911yescharacteristic
1093C2×C22⋊C4C22×D7911yescharacteristic
1094C2×C22⋊C4C22×D7911yescharacteristic
1095C2×C22⋊C4C22×D7911yescharacteristic
1096C2×C22⋊C4C22×D7911yescharacteristic
1097C2×C22⋊C4C22×D7911yescharacteristic
1098C2×C22⋊C4C22×D7911yescharacteristic
1099C2×C22⋊C4C22×D7911yescharacteristic
1100C2×C22⋊C4C22×D7911yescharacteristic
1101C2×C22⋊C4C22×D7911yescharacteristic
1102C2×C22⋊C4C22×D7911yescharacteristic
1103C2×C22⋊C4C22×D7911yescharacteristic
1104C2×C22⋊C4C22×D7911yescharacteristic
1105C2×C42—791no—
1106C2×C42—791no—
1107C2×C42—791no—
1108C2×C42—791no—
1109C2×C42—791no—
1110C2×C42—791no—
1111C2×C42—791no—
1112C2×C42—791no—
1113C2×C42—791no—
1114#95—791no—
1115#95—791no—
1116#95—791no—
1117#95—791no—
1118#95—791no—
1119#95—791no—
1120#95—791no—
1121#95—791no—
1122#95—791no—
1123#95—791no—
1124#95—791no—
1125#95—791no—
1126#95—791no—
1127#95—791no—
1128#95—791no—
1129#95—791no—
1130#95—791no—
1131#95—791no—
1132#95—791no—
1133#95—791no—
1134#95—791no—
1135#95—791no—
1136#95—791no—
1137#95—791no—
1138#95—791no—
1139#95—791no—
1140#95—791no—
1141#95—791no—
1142#95—791no—
1143#95—791no—
1144#95—791no—
1145#95—791no—
1146#95—791no—
1147#95—791no—
1148#95C22×D7911yescharacteristic
1149#95C22×D7911yescharacteristic
1150#95C22×D7911yescharacteristic
1151#95C22×D7911yescharacteristic
1152#95C22×D7911yescharacteristic
1153#95C22×D7911yescharacteristic
1154#95C22×D7911yescharacteristic
1155#95C22×D7911yescharacteristic
1156#95C22×D7911yescharacteristic
1157#95C22×D7911yescharacteristic
1158C24—3161no—
1159C24—3161no—
1160C24—3161no—
1161C24—3161no—
1162C24—791no—
1163C24—791no—
1164C24—1582no—
1165C24—1582no—
1166C24—1582no—
1167C24C23×D7911yescharacteristic
1168C24C23×D7911yescharacteristic
1169C24C23×D7911yescharacteristic
1170C24C23×D7911yescharacteristic
1171C2×Q8—3161no—
1172C2×Q8—3161no—
1173C2×Q8—3161no—
1174C2×Q8—3161no—
1175C2×Q8—3161no—
1176C2×Q8—3161no—
1177C2×D4—22no—
1178C2×D4—22no—
1179C2×D4—22no—
1180C2×D4—22no—
1181C2×D4—41no—
1182C2×D4—41no—
1183C2×D4—41no—
1184C2×D4—41no—
1185C2×D4—41no—
1186C2×D4—41no—
1187C2×D4—41no—
1188C2×D4—41no—
1189C2×D4—41no—
1190C2×D4—41no—
1191C2×D4—41no—
1192C2×D4—41no—
1193C2×D4—41no—
1194C2×D4—41no—
1195C2×D4—3161no—
1196C2×D4—3161no—
1197C2×D4—3161no—
1198C2×D4—3161no—
1199C2×D4—3161no—
1200C2×D4—3161no—
1201C2×D4—3161no—
1202C2×D4—3161no—
1203C2×D4—3161no—
1204C2×D4—3161no—
1205C2×D4—3161no—
1206C2×D4—3161no—
1207C2×D4—1582no—
1208C2×D4—1582no—
1209C2×D4—1582no—
1210C2×D4—1582no—
1211C2×D4—1582no—
1212C2×D4—1582no—
1213C22×C4—22no—
1214C22×C4—22no—
1215C22×C4—41no—
1216C22×C4—41no—
1217C22×C4—41no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—3161no—
1223C22×C4—3161no—
1224C22×C4—3161no—
1225C22×C4—3161no—
1226C22×C4—3161no—
1227C22×C4—3161no—
1228C22×C4—31616no—
1229C22×C4—3161no—
1230C22×C4—3161no—
1231C22×C4—3161no—
1232C22×C4—794no—
1233C22×C4—791no—
1234C22×C4—791no—
1235C22×C4—791no—
1236C22×C4—791no—
1237C22×C4—791no—
1238C22×C4—791no—
1239C22×C4—791no—
1240C22×C4—791no—
1241C22×C4—791no—
1242C22×C4—791no—
1243C22×C4—791no—
1244C22×C4—791no—
1245C22×C4—791no—
1246C22×C4—791no—
1247C22×C4—1582no—
1248C22×C4—1582no—
1249C22×C4—1582no—
1250C22×C4—1582no—
1251C22×C4—1582no—
1252C22×C4—1582no—
1253C22×C4—1582no—
1254C22×C4—1582no—
1255C22×C4C23×D7911yescharacteristic
1256C22×C4C23×D7911yescharacteristic
1257C22×C4C23×D7911yescharacteristic
1258C22×C4C23×D7911yescharacteristic
1259C22×C4C23×D7911yescharacteristic
1260C22×C4C23×D7911yescharacteristic
1261C22×C4C23×D7911yescharacteristic
1262C22×C4C23×D7911yescharacteristic
1263C22×C4C23×D7911yescharacteristic
1264C22×C4C23×D7911yescharacteristic
1265C22×C4C23×D7911yescharacteristic
1266C4⋊C4—41no—
1267C4⋊C4—41no—
1268C4⋊C4—41no—
1269C4⋊C4—3161no—
1270C4⋊C4—3161no—
1271C4⋊C4—3161no—
1272C4⋊C4—3161no—
1273C4⋊C4—3161no—
1274C4⋊C4—3161no—
1275C4⋊C4—3161no—
1276C4⋊C4—3161no—
1277C4⋊C4—3161no—
1278C4⋊C4—3161no—
1279C4⋊C4—3161no—
1280C4⋊C4—3161no—
1281C4⋊C4—3161no—
1282C4⋊C4—3161no—
1283C4⋊C4—3161no—
1284C4⋊C4—1582no—
1285C4⋊C4—1582no—
1286C4⋊C4—1582no—
1287C4⋊C4—1582no—
1288C4⋊C4—1582no—
1289C4⋊C4—1582no—
1290C22⋊C4—22no—
1291C22⋊C4—22no—
1292C22⋊C4—41no—
1293C22⋊C4—41no—
1294C22⋊C4—41no—
1295C22⋊C4—41no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—3161no—
1304C22⋊C4—3161no—
1305C22⋊C4—3161no—
1306C22⋊C4—3161no—
1307C22⋊C4—3161no—
1308C22⋊C4—3161no—
1309C22⋊C4—3161no—
1310C22⋊C4—3161no—
1311C22⋊C4—3161no—
1312C22⋊C4—3161no—
1313C22⋊C4—3161no—
1314C22⋊C4—3161no—
1315C22⋊C4—3161no—
1316C22⋊C4—3161no—
1317C22⋊C4—3161no—
1318C22⋊C4—3161no—
1319C22⋊C4—3161no—
1320C22⋊C4—3161no—
1321C22⋊C4—3161no—
1322C22⋊C4—3161no—
1323C22⋊C4—3161no—
1324C22⋊C4—3161no—
1325C22⋊C4—3161no—
1326C22⋊C4—3161no—
1327C22⋊C4—3161no—
1328C22⋊C4—3161no—
1329C22⋊C4—3161no—
1330C22⋊C4—1582no—
1331C22⋊C4—1582no—
1332C22⋊C4—1582no—
1333C22⋊C4—1582no—
1334C22⋊C4—1582no—
1335C22⋊C4—1582no—
1336C22⋊C4—1582no—
1337C22⋊C4—1582no—
1338C22⋊C4—1582no—
1339C22⋊C4—1582no—
1340C22⋊C4—1582no—
1341C22⋊C4—1582no—
1342C22⋊C4—1582no—
1343C22⋊C4—1582no—
1344C42—3161no—
1345C42—3161no—
1346C42—3161no—
1347C42—3161no—
1348C42—3161no—
1349C42—3161no—
1350C42—3161no—
1351C42—3161no—
1352C42—3161no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—3164no—
1381C23—3164no—
1382C23—3164no—
1383C23—3164no—
1384C23—3164no—
1385C23—3164no—
1386C23—3164no—
1387C23—792no—
1388C23—792no—
1389C23—1581no—
1390C23—1581no—
1391C23—1581no—
1392C23—1581no—
1393C23—1581no—
1394C23—1581no—
1395C23—1581no—
1396C23—1581no—
1397C23—1581no—
1398C23—1581no—
1399C23—1581no—
1400C23—1581no—
1401C23#1457920612yes—
1402C23C24×D7911yescharacteristic
1403Q8—6322no—
1404Q8—6322no—
1405D4—82no—
1406D4—82no—
1407D4—82no—
1408D4—82no—
1409D4—82no—
1410D4—82no—
1411D4—6322no—
1412D4—6322no—
1413D4—6322no—
1414D4—6322no—
1415D4—6322no—
1416D4—6322no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—44no—
1450C2×C4—82no—
1451C2×C4—82no—
1452C2×C4—3164no—
1453C2×C4—3164no—
1454C2×C4—3164no—
1455C2×C4—3164no—
1456C2×C4—792no—
1457C2×C4—792no—
1458C2×C4—6322no—
1459C2×C4—1581no—
1460C2×C4—1581no—
1461C2×C4—1581no—
1462C2×C4—1581no—
1463C2×C4—1581no—
1464C2×C4—1581no—
1465C2×C4—1581no—
1466C2×C4—1581no—
1467C2×C4—1581no—
1468C2×C4—1581no—
1469C2×C4—1581no—
1470C2×C4—1581no—
1471C2×C4—1581no—
1472C2×C4—1581no—
1473C2×C4—1581no—
1474C2×C4—1581no—
1475C2×C4—1581no—
1476C2×C4—1581no—
1477C2×C4—1581no—
1478C2×C4—1581no—
1479C2×C4—1581no—
1480C2×C4—1581no—
1481C2×C4—1581no—
1482C2×C4—1581no—
1483C2×C4—1581no—
1484C2×C4—1581no—
1485C2×C4—1581no—
1486C2×C4—1581no—
1487C2×C4—1581no—
1488C2×C4—1581no—
1489C2×C4—1581no—
1490C2×C4—1581no—
1491C2×C4—1581no—
1492C2×C4—1581no—
1493C2×C4—1581no—
1494C2×C4—1581no—
1495C2×C4—1588no—
1496C2×C4—1581no—
1497C2×C4—1581no—
1498C2×C4—1581no—
1499C2×C4—1581no—
1500C2×C4#41×D7912yes—
1501C22—22no—
1502C22—22no—
1503C22—22no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—31616no—
1530C22—3161no—
1531C22—3161no—
1532C22—3161no—
1533C22—3161no—
1534C22—3161no—
1535C22—3161no—
1536C22—3161no—
1537C22—3161no—
1538C22—1582no—
1539C22—1582no—
1540C22—1582no—
1541C22—1582no—
1542C22—1582no—
1543C22—1582no—
1544C22C2×#41×D7911yescharacteristic
1545C22H(5,𝔽2)×D7911yescharacteristic
1546C22H(5,𝔽2)×D7911yescharacteristic
1547C22C2×#1457920611yescharacteristic
1548C22#1909939811yescharacteristic
1549C22#1909939811yescharacteristic
1550C22#1909939911yescharacteristic
1551C4—22no—
1552C4—41no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C4—3161no—
1563C4—3161no—
1564C4—3161no—
1565C4—3161no—
1566C4—3161no—
1567C4—3161no—
1568C4—3161no—
1569C4—3161no—
1570C4—3161no—
1571C4—3161no—
1572C4—3161no—
1573C4—3161no—
1574C4—1582no—
1575C4—1582no—
1576C2—42no—
1577C2—81no—
1578C2—81no—
1579C2—81no—
1580C2—3162no—
1581C2—3162no—
1582C2#2377678411yescharacteristic
1583C2#2377708211yescharacteristic
1584C2#2377712811yescharacteristic
1585C2#2377755911yescharacteristic
1586C2#2377758011yescharacteristic
1587C2#2377767111yescharacteristic
1588C2#2377770511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2688C2
hypercenter#2688D79
hypocenterC79#36735
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2688

Complements

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

NH ≅ G/Ntype
1. #23771691C2semidirect
2. #23771679C2semidirect
3. #23770605C2semidirect
4. #23770493C2semidirect
5. #23770485C2semidirect
6. #23770460C2semidirect
7. #23770459C2semidirect
8. #23770239C2semidirect
9. #23770050C2semidirect
10. #23769964C2semidirect
11. #23769951C2semidirect
12. #23769906C2semidirect
13. #23769802C2semidirect
14. #23769775C2semidirect
15. #23769728C2semidirect
16. #23769655C2semidirect
17. #23769625C2semidirect
18. #23769577C2semidirect
19. #23769531C2semidirect
20. #23768944C2semidirect
21. #23768727C2semidirect
22. #23768503C2semidirect
23. #23768503C2semidirect
24. #23767605C2semidirect
25. #23767582C2semidirect
26. #23767551C2semidirect
27. #23767512C2semidirect
28. #23766185C2semidirect
29. #23766161C2semidirect
30. #23765780C2semidirect
31. C79×#2688C2semidirect
40. C2×#14579142C22semidirect
41. C2×#14579140C22semidirect
49. #19098505C22semidirect
50. #19098505C22semidirect
51. #19098504C22semidirect
52. #19098504C22semidirect
53. #19098499C22semidirect
54. #19098496C22semidirect
55. #19098495C22semidirect
58. #19098491C22semidirect
59. #19098491C22semidirect
60. #19098491C22semidirect
61. #19098491C22semidirect
65. #19098488C22semidirect
68. #19098486C22semidirect
70. #19098484C22semidirect
71. #19098483C22semidirect
72. #19098483C22semidirect
80. #19098477C22semidirect
81. #19098477C22semidirect
85. #19098475C22semidirect
86. #19098475C22semidirect
91. #19098467C22semidirect
92. #19098467C22semidirect
94. #19098466C22semidirect
95. #19098466C22semidirect
100. #19098460C22semidirect
102. #19098457C22semidirect
103. #19098457C22semidirect
104. #19098457C22semidirect
106. #19098456C22semidirect
107. #19098456C22semidirect
108. #19098456C22semidirect
114. #19098451C22semidirect
115. #19098451C22semidirect
116. #19098451C22semidirect
117. #19098450C22semidirect
118. #19098450C22semidirect
119. #19098448C22semidirect
120. #19098448C22semidirect
121. #19098448C22semidirect
122. #19098448C22semidirect
123. #19098448C22semidirect
124. #19098446C22semidirect
125. #19098446C22semidirect
126. #19098445C22semidirect
127. #19098444C22semidirect
128. #19098444C22semidirect
133. #19098443C22semidirect
148. #19098436C22semidirect
149. #19098430C22semidirect
158. #19098421C22semidirect
164. C4⋊C4×Dic79C22semidirect
165. C22⋊C4×Dic79C22semidirect
166. C4×C22⋊Dic79C22semidirect
167. C4×C22⋊Dic79C22semidirect
174. #400×C79C22semidirect
175. #397×C79C22semidirect
176. #397×C79C22semidirect
179. #392×C79C22semidirect
182. #386×C79C22semidirect
183. #386×C79C22semidirect
184. #386×C79C22semidirect
185. #385×C79C22semidirect
807. #2688D79semidirect
826. C79#36735semidirect
850. #400C2×D79semidirect
864. #397C2×D79semidirect
865. #397C2×D79semidirect
893. #392C2×D79semidirect
949. #386C2×D79semidirect
950. #386C2×D79semidirect
951. #386C2×D79semidirect
957. #385C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237716912
#237716792
#237706052
#237704932
#237704852
#237704602
#237704592
#237702392
#237700502
#237699642
#237699512
#237699062
#237698022
#237697752
#237697282
#237696552
#237696252
#237695772
#237695312
#237689442
#237687272
#237685032
#237676052
#237675822
#237675512
#237675122
#237661852
#237661612
#237657802
C79×#26882
#3673579