Finite Group Databasebeta

← #34495541

Subgroups — #34495541

Order 20224.

1954 conjugacy classes of subgroups.

The subgroup lattice has 1586 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23771695C211yesmaximal, characteristic, complemented
2#23771683C211yesmaximal, characteristic, complemented
3#23770589C211yesmaximal, characteristic, complemented
4#23770580C211yesmaximal, characteristic, complemented
5#23770532C211yesmaximal, characteristic, complemented
6#23770509C211yesmaximal, characteristic, complemented
7#23770311C211yesmaximal, characteristic, complemented
8#23770085C211yesmaximal, characteristic, complemented
9#23770074C211yesmaximal, characteristic, complemented
10#23770017C211yesmaximal, characteristic, complemented
11#23769987C211yesmaximal, characteristic, complemented
12#23769884C211yesmaximal, characteristic, complemented
13#23769798C211yesmaximal, characteristic, complemented
14#23769788C211yesmaximal, characteristic, complemented
15#23769723C211yesmaximal, characteristic, complemented
16#23769643C211yesmaximal, characteristic, complemented
17#23769610C211yesmaximal, characteristic, complemented
18#23769601C211yesmaximal, characteristic, complemented
19#23769533C211yesmaximal, characteristic, complemented
20#23768919C211yesmaximal, characteristic, complemented
21#23768702C211yesmaximal, characteristic, complemented
22#23768532C211yesmaximal, characteristic, complemented
23#23768532C211yesmaximal, characteristic, complemented
24#23767635C211yesmaximal, characteristic, complemented
25#23767584C211yesmaximal, characteristic, complemented
26#23767514C211yesmaximal, characteristic, complemented
27#23767491C211yesmaximal, characteristic, complemented
28#23766189C211yesmaximal, characteristic, complemented
29#23766164C211yesmaximal, characteristic, complemented
30#23765780C211yesmaximal, characteristic, complemented
31C79×#2744C211yesmaximal, characteristic, complemented
32C23×C4×D79C2211yescharacteristic
33C2×#14579156C2211yescharacteristic
34C2×#14579156C2211yescharacteristic
35C2×#14579155C2211yescharacteristic, complemented
36C2×#14579146C2211yescharacteristic
37C2×#14579146C2211yescharacteristic
38C2×#14579146C2211yescharacteristic, complemented
39C2×#14579143C2211yescharacteristic
40C2×#14579136C2211yescharacteristic
41C2×#14579136C2211yescharacteristic
42C2×#14579136C2211yescharacteristic
43C2×#14579136C2211yescharacteristic
44C2×#14579135C2211yescharacteristic
45C2×#14579134C2211yescharacteristic
46C2×#14579131C2211yescharacteristic
47C2×#14579131C2211yescharacteristic
48C2×#14579131C2211yescharacteristic
49C2×#14579117C2211yescharacteristic
50C2×#14579117C2211yescharacteristic
51C79⋊#401C2211yescharacteristic, complemented
52#19098504C2211yescharacteristic, complemented
53#19098503C2211yescharacteristic, complemented
54#19098499C2211yescharacteristic
55#19098498C2211yescharacteristic
56#19098498C2211yescharacteristic
57#19098498C2211yescharacteristic, complemented
58#19098498C2211yescharacteristic, complemented
59#19098497C2211yescharacteristic, complemented
60#19098497C2211yescharacteristic, complemented
61#19098497C2211yescharacteristic, complemented
62#19098496C2211yescharacteristic, complemented
63#19098493C2211yescharacteristic, complemented
64#19098492C2211yescharacteristic
65#19098492C2211yescharacteristic, complemented
66#19098490C2211yescharacteristic
67#19098489C2211yescharacteristic, complemented
68#19098489C2211yescharacteristic, complemented
69#19098487C2211yescharacteristic
70#19098487C2211yescharacteristic, complemented
71#19098485C2211yescharacteristic
72#19098485C2211yescharacteristic, complemented
73#19098481C2211yescharacteristic
74#19098481C2211yescharacteristic
75#19098481C2211yescharacteristic
76#19098481C2211yescharacteristic
77#19098481C2211yescharacteristic
78#19098481C2211yescharacteristic, complemented
79#19098481C2211yescharacteristic, complemented
80#19098481C2211yescharacteristic, complemented
81#19098480C2211yescharacteristic
82#19098480C2211yescharacteristic
83#19098480C2211yescharacteristic
84#19098480C2211yescharacteristic, complemented
85#19098479C2211yescharacteristic
86#19098479C2211yescharacteristic
87#19098478C2211yescharacteristic
88#19098478C2211yescharacteristic
89#19098473C2211yescharacteristic
90#19098473C2211yescharacteristic
91#19098473C2211yescharacteristic, complemented
92#19098472C2211yescharacteristic
93#19098465C2211yescharacteristic
94#19098465C2211yescharacteristic
95#19098465C2211yescharacteristic
96#19098464C2211yescharacteristic
97#19098464C2211yescharacteristic, complemented
98#19098464C2211yescharacteristic, complemented
99#19098463C2211yescharacteristic
100#19098463C2211yescharacteristic
101#19098462C2211yescharacteristic, complemented
102#19098460C2211yescharacteristic, complemented
103#19098458C2211yescharacteristic, complemented
104#19098458C2211yescharacteristic, complemented
105#19098455C2211yescharacteristic
106#19098455C2211yescharacteristic, complemented
107#19098455C2211yescharacteristic, complemented
108#19098455C2211yescharacteristic, complemented
109#19098454C2211yescharacteristic
110#19098454C2211yescharacteristic, complemented
111#19098453C2211yescharacteristic
112#19098453C2211yescharacteristic, complemented
113#19098452C2211yescharacteristic
114#19098452C2211yescharacteristic, complemented
115#19098452C2211yescharacteristic, complemented
116#19098452C2211yescharacteristic, complemented
117#19098452C2211yescharacteristic, complemented
118#19098452C2211yescharacteristic, complemented
119#19098451C2211yescharacteristic
120#19098450C2211yescharacteristic, complemented
121#19098449C2211yescharacteristic, complemented
122#19098448C2211yescharacteristic, complemented
123#19098445C2211yescharacteristic, complemented
124#19098444C2211yescharacteristic, complemented
125#19098444C2211yescharacteristic, complemented
126#19098442C2211yescharacteristic
127#19098441C2211yescharacteristic
128#19098441C2211yescharacteristic
129#19098441C2211yescharacteristic
130#19098441C2211yescharacteristic
131#19098441C2211yescharacteristic
132#19098441C2211yescharacteristic
133#19098441C2211yescharacteristic
134#19098441C2211yescharacteristic
135#19098441C2211yescharacteristic
136#19098441C2211yescharacteristic
137#19098441C2211yescharacteristic, complemented
138#19098441C2211yescharacteristic, complemented
139#19098440C2211yescharacteristic
140#19098440C2211yescharacteristic
141#19098440C2211yescharacteristic
142#19098439C2211yescharacteristic
143#19098437C2211yescharacteristic, complemented
144#19098437C2211yescharacteristic, complemented
145#19098437C2211yescharacteristic, complemented
146#19098435C2211yescharacteristic
147#19098434C2211yescharacteristic
148#19098434C2211yescharacteristic
149#19098434C2211yescharacteristic, complemented
150#19098434C2211yescharacteristic, complemented
151#19098426C2211yescharacteristic
152#19098425C2211yescharacteristic
153#19098425C2211yescharacteristic
154#19098425C2211yescharacteristic, complemented
155#19098422C2211yescharacteristic
156#19098422C2211yescharacteristic
157#19098422C2211yescharacteristic
158#19098422C2211yescharacteristic
159#19098420C2211yescharacteristic
160#19098420C2211yescharacteristic
161#19098418C2211yescharacteristic
162#19098418C2211yescharacteristic
163#19098418C2211yescharacteristic
164C4×Dic79⋊C4C2211yescharacteristic, complemented
165C4×(C2×D79)⋊C4C2211yescharacteristic, complemented
166#19098410C2211yescharacteristic
167#19098410C2211yescharacteristic
168#19098410C2211yescharacteristic
169#19098410C2211yescharacteristic
170#19098410C2211yescharacteristic, complemented
171#19098410C2211yescharacteristic, complemented
172#400×C79C2211yescharacteristic, complemented
173#400×C79C2211yescharacteristic, complemented
174#398×C79C2211yescharacteristic, complemented
175#398×C79C2211yescharacteristic, complemented
176#397×C79C2211yescharacteristic
177#396×C79C2211yescharacteristic
178#388×C79C2211yescharacteristic
179#388×C79C2211yescharacteristic
180#387×C79C2211yescharacteristic, complemented
181#387×C79C2211yescharacteristic, complemented
182#387×C79C2211yescharacteristic, complemented
183#385×C79C2211yescharacteristic
184#382×C79C2211yescharacteristic, complemented
185#381×C79C2211yescharacteristic
186#380×C79C2211yescharacteristic
187C24×D79C2311yescharacteristic
188C22×D316C2311yescharacteristic
189C22×D316C2311yescharacteristic
190C22×D316C2311yescharacteristic
191C22×D316C2311yescharacteristic
192C22×D316C2311yescharacteristic
193C22×D316C2311yescharacteristic
194C22×D316C2311yescharacteristic
195C22×D316C2311yescharacteristic
196C22×D316C2311yescharacteristic
197C22×C22⋊D79C2311yescharacteristic
198C22×C22⋊D79C2311yescharacteristic
199C22×C22⋊D79C2311yescharacteristic
200C23×Dic79C2311yescharacteristic
201C22×C4×D79—24no—
202C22×C4×D79—42no—
203C22×C4×D79—42no—
204C22×C4×D79C2311yescharacteristic
205C22×C4×D79C2311yescharacteristic
206C22×C4×D79C2311yescharacteristic
207C22×C4×D79C2311yescharacteristic
208C22×C4×D79C2311yescharacteristic
209C22×C4×D79C2311yescharacteristic
210C22×C4×D79C2311yescharacteristic
211#14579156—42no—
212#14579156—42no—
213#14579155—42no—
214#14579146—24no—
215#14579146—42no—
216#14579146—42no—
217#14579143—42no—
218#14579136—24no—
219#14579136—42no—
220#14579136—42no—
221#14579136—42no—
222#14579135—42no—
223#14579134—42no—
224#14579131—42no—
225#14579131—42no—
226#14579131—42no—
227#14579117—42no—
228#14579117—42no—
229C2×C4⋊Dic79C2311yescharacteristic
230C2×C4⋊Dic79C2311yescharacteristic
231C2×C4⋊Dic79C2311yescharacteristic
232C2×C4⋊Dic79C2311yescharacteristic
233C2×C4⋊Dic79C2311yescharacteristic
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×Dic79⋊C4C2311yescharacteristic
243C2×Dic79⋊C4C2311yescharacteristic
244C2×Dic79⋊C4C2311yescharacteristic
245C2×Dic79⋊C4C2311yescharacteristic
246C2×Dic79⋊C4C2311yescharacteristic
247C2×Dic79⋊C4C2311yescharacteristic
248C2×Dic79⋊C4C2311yescharacteristic
249C2×C22⋊Dic79C2311yescharacteristic
250C2×C22⋊Dic79C2311yescharacteristic
251C2×C22⋊Dic79C2311yescharacteristic
252C2×(C2×D79)⋊C4C2311yescharacteristic
253C2×(C2×D79)⋊C4C2311yescharacteristic
254C2×(C2×D79)⋊C4C2311yescharacteristic
255C2×(C2×D79)⋊C4C2311yescharacteristic
256C2×(C2×D79)⋊C4C2311yescharacteristic
257C2×(C2×D79)⋊C4C2311yescharacteristic
258C2×(C2×D79)⋊C4C2311yescharacteristic
259C2×(C2×D79)⋊C4C2311yescharacteristic
260C2×(C2×D79)⋊C4C2311yescharacteristic
261C2×(C2×D79)⋊C4C2311yescharacteristic
262C2×(C2×D79)⋊C4C2311yescharacteristic
263C2×(C2×D79)⋊C4C2311yescharacteristic
264C2×(C2×D79)⋊C4C2311yescharacteristic
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×(C2×D79)⋊C4C2311yescharacteristic
284C2×(C2×D79)⋊C4C2311yescharacteristic
285C2×(C2×D79)⋊C4C2311yescharacteristic
286C2×(C2×D79)⋊C4C2311yescharacteristic
287C2×(C2×D79)⋊C4C2311yescharacteristic
288C2×(C2×D79)⋊C4C2311yescharacteristic
289C2×(C2×D79)⋊C4C2311yescharacteristic
290C2×(C2×D79)⋊C4C2311yescharacteristic
291C2×(C2×D79)⋊C4C2311yescharacteristic
292C2×(C2×D79)⋊C4C2311yescharacteristic
293C2×(C2×D79)⋊C4C2311yescharacteristic
294C2×(C2×D79)⋊C4C2311yescharacteristic
295C2×(C2×D79)⋊C4C2311yescharacteristic
296C2×(C2×D79)⋊C4C2311yescharacteristic
297C2×C4×Dic79C2311yescharacteristic
298C2×C4×Dic79C2311yescharacteristic
299C2×C4×Dic79C2311yescharacteristic
300C2×C4×Dic79C2311yescharacteristic
301C2×C4×Dic79C2311yescharacteristic
302C2×C4×Dic79C2311yescharacteristic
303C2×C4×Dic79C2311yescharacteristic
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
326C79⋊#95C2311yescharacteristic
327C79⋊#95C2311yescharacteristic
328C23×C4×C79C2311yescharacteristic
329C2×C4⋊C4×C79C2311yescharacteristic
330C2×C4⋊C4×C79C2311yescharacteristic
331C2×C4⋊C4×C79C2311yescharacteristic
332C2×C4⋊C4×C79C2311yescharacteristic
333C2×C4⋊C4×C79C2311yescharacteristic
334C2×C4⋊C4×C79C2311yescharacteristic
335C2×C4⋊C4×C79C2311yescharacteristic
336C2×C4⋊C4×C79C2311yescharacteristic
337C2×C4⋊C4×C79C2311yescharacteristic
338C2×C4⋊C4×C79C2311yescharacteristic
339C2×C22⋊C4×C79C2311yescharacteristic
340C2×C22⋊C4×C79C2311yescharacteristic
341C2×C22⋊C4×C79C2311yescharacteristic
342C2×C22⋊C4×C79C2311yescharacteristic
343C2×C22⋊C4×C79C2311yescharacteristic
344C2×C22⋊C4×C79C2311yescharacteristic
345C2×C42×C79C2311yescharacteristic
346C2×C42×C79C2311yescharacteristic
347#95×C79C2311yescharacteristic
348#95×C79C2311yescharacteristic
349#95×C79C2311yescharacteristic
350#95×C79C2311yescharacteristic
351#95×C79C2311yescharacteristic
352#95×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
372C23×D79C2411yescharacteristic
373C23×D79C2411yescharacteristic
374C23×D79C2411yescharacteristic
375C2×D316—22no—
376C2×D316—22no—
377C2×D316—22no—
378C2×D316—22no—
379C2×D316—22no—
380C2×D316—22no—
381C2×D316—22no—
382C2×D316—41no—
383C2×D316—41no—
384C2×D316—41no—
385C2×D316—41no—
386C2×D316—41no—
387C2×D316—41no—
388C2×D316—41no—
389C2×D316—41no—
390C2×D316—41no—
391C2×D316—41no—
392C2×D316—41no—
393C2×D316—41no—
394C2×D316—41no—
395C2×D316—41no—
396C2×D316—41no—
397C2×D316—41no—
398C2×D316—41no—
399C2×D316—41no—
400C2×D316—41no—
401C2×D316—41no—
402C2×C22⋊D79—22no—
403C2×C22⋊D79—22no—
404C2×C22⋊D79—22no—
405C2×C22⋊D79—41no—
406C2×C22⋊D79—41no—
407C2×C22⋊D79—41no—
408C2×C22⋊D79—41no—
409C2×C22⋊D79—41no—
410C2×C22⋊D79—41no—
411C22×Dic79—22no—
412C22×Dic79—22no—
413C22×Dic79—22no—
414C22×Dic79C2411yescharacteristic
415C22×Dic79C2411yescharacteristic
416C22×Dic79C2411yescharacteristic
417C22×Dic79C2411yescharacteristic
418C22×Dic79C2411yescharacteristic
419C22×Dic79C2411yescharacteristic
420C22×Dic79C2411yescharacteristic
421C22×Dic79C2411yescharacteristic
422C22×Dic79C2411yescharacteristic
423C22×Dic79C2411yescharacteristic
424C22×Dic79C2411yescharacteristic
425C2×C4×D79—22no—
426C2×C4×D79—22no—
427C2×C4×D79—22no—
428C2×C4×D79—22no—
429C2×C4×D79—22no—
430C2×C4×D79—41no—
431C2×C4×D79—41no—
432C2×C4×D79—41no—
433C2×C4×D79—41no—
434C2×C4×D79—41no—
435C2×C4×D79—41no—
436C2×C4×D79—41no—
437C2×C4×D79—41no—
438C2×C4×D79—41no—
439C2×C4×D79—41no—
440C2×C4×D79—41no—
441C2×C4×D79—41no—
442C2×C4×D79—41no—
443C2×C4×D79—41no—
444C2×C4×D79—41no—
445C2×C4×D79—416no—
446C2×C4×D79#4114yes—
447C4⋊Dic79—41no—
448C4⋊Dic79—41no—
449C4⋊Dic79—41no—
450C4⋊Dic79—41no—
451C4⋊Dic79—41no—
452Dic79⋊C4—22no—
453Dic79⋊C4—22no—
454Dic79⋊C4—22no—
455Dic79⋊C4—22no—
456Dic79⋊C4—41no—
457Dic79⋊C4—41no—
458Dic79⋊C4—41no—
459Dic79⋊C4—41no—
460Dic79⋊C4—41no—
461Dic79⋊C4—41no—
462Dic79⋊C4—41no—
463Dic79⋊C4—41no—
464Dic79⋊C4—41no—
465Dic79⋊C4—41no—
466Dic79⋊C4—41no—
467C22⋊Dic79—22no—
468C22⋊Dic79—41no—
469C22⋊Dic79—41no—
470(C2×D79)⋊C4—22no—
471(C2×D79)⋊C4—22no—
472(C2×D79)⋊C4—22no—
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—22no—
480(C2×D79)⋊C4—22no—
481(C2×D79)⋊C4—22no—
482(C2×D79)⋊C4—22no—
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—
491(C2×D79)⋊C4—41no—
492(C2×D79)⋊C4—41no—
493(C2×D79)⋊C4—41no—
494(C2×D79)⋊C4—41no—
495(C2×D79)⋊C4—41no—
496(C2×D79)⋊C4—41no—
497(C2×D79)⋊C4—41no—
498(C2×D79)⋊C4—41no—
499(C2×D79)⋊C4—41no—
500(C2×D79)⋊C4—41no—
501(C2×D79)⋊C4—41no—
502(C2×D79)⋊C4—41no—
503(C2×D79)⋊C4—41no—
504(C2×D79)⋊C4—41no—
505(C2×D79)⋊C4—41no—
506(C2×D79)⋊C4—41no—
507(C2×D79)⋊C4—41no—
508(C2×D79)⋊C4—41no—
509(C2×D79)⋊C4—41no—
510(C2×D79)⋊C4—41no—
511(C2×D79)⋊C4—41no—
512(C2×D79)⋊C4—41no—
513(C2×D79)⋊C4—41no—
514(C2×D79)⋊C4—41no—
515C4×Dic79—41no—
516C4×Dic79—41no—
517C4×Dic79—41no—
518C4×Dic79—41no—
519C4×Dic79—41no—
520C4×Dic79—41no—
521C4×Dic79—41no—
522C24×C79C2411yescharacteristic
523C22×C4×C79—22no—
524C22×C4×C79—22no—
525C22×C4×C79—41no—
526C22×C4×C79C2411yescharacteristic
527C22×C4×C79C2411yescharacteristic
528C22×C4×C79C2411yescharacteristic
529C22×C4×C79C2411yescharacteristic
530C22×C4×C79C2411yescharacteristic
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
540C4⋊C4×C79—22no—
541C4⋊C4×C79—22no—
542C4⋊C4×C79—41no—
543C4⋊C4×C79—41no—
544C4⋊C4×C79—41no—
545C4⋊C4×C79—41no—
546C4⋊C4×C79—41no—
547C4⋊C4×C79—41no—
548C4⋊C4×C79—41no—
549C4⋊C4×C79—41no—
550C22⋊C4×C79—22no—
551C22⋊C4×C79—22no—
552C22⋊C4×C79—41no—
553C22⋊C4×C79—41no—
554C22⋊C4×C79—41no—
555C22⋊C4×C79—41no—
556C42×C79—41no—
557C42×C79—41no—
558C23×C79—21no—
559C23×C79—21no—
560C23×C79—21no—
561C23×C79—21no—
562C23×C79—21no—
563C23×C79—21no—
564C23×C79H(5,𝔽2)12yes—
565C23×C79C2511yescharacteristic
566C22×D79—21no—
567C22×D79—21no—
568C22×D79—21no—
569C22×D79—21no—
570C22×D79—21no—
571C22×D79—21no—
572C22×D79—21no—
573C22×D79—21no—
574C22×D79—21no—
575C22×D79—21no—
576C22×D79—21no—
577C22×D79—21no—
578C22×D79—21no—
579C22×D79—21no—
580C22×D79—21no—
581C22×D79—21no—
582C22×D79—21no—
583C22×D79—21no—
584C22×D79—21no—
585C22×D79—21no—
586C22×D79—21no—
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—
608C2×C4×C79—21no—
609C2×C4×C79—21no—
610C2×C4×C79—21no—
611C2×C4×C79—21no—
612C2×C4×C79—21no—
613C2×C4×C79—21no—
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—21no—
647C2×C4×C79—21no—
648C2×C4×C79—21no—
649C2×C4×C79—44no—
650C2×C4×C79C2×#4112yes—
651C22⋊D79—82no—
652C22⋊D79—82no—
653C22⋊D79—82no—
654C2×Dic79—28no—
655C2×Dic79—21no—
656C2×Dic79—21no—
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×Dic79C2×#4112yes—
687C2×Dic79H(5,𝔽2)12yes—
688D316—82no—
689D316—82no—
690D316—82no—
691D316—82no—
692D316—82no—
693D316—82no—
694D316—82no—
695D316—82no—
696D316—82no—
697C4×D79—44no—
698C4×D79—44no—
699C4×D79—44no—
700C4×D79—44no—
701C4×D79—82no—
702C4×D79—82no—
703C4×D79—82no—
704C22×C79—22no—
705C22×C79—22no—
706C22×C79—22no—
707C22×C79—41no—
708C22×C79—41no—
709C22×C79—41no—
710C22×C79—41no—
711C22×C79C22×#4111yescharacteristic
712C22×C79C2×H(5,𝔽2)11yescharacteristic
713C22×C79C2×H(5,𝔽2)11yescharacteristic
714C22×C79C2×H(5,𝔽2)11yescharacteristic
715C22×C79#58511yescharacteristic
716C22×C79#58511yescharacteristic
717C22×C79#58511yescharacteristic
718C2×D79—22no—
719C2×D79—22no—
720C2×D79—22no—
721C2×D79—22no—
722C2×D79—22no—
723C2×D79—22no—
724C2×D79—416no—
725C2×D79—41no—
726C2×D79—41no—
727C2×D79—41no—
728C2×D79—41no—
729C2×D79—41no—
730C2×D79—41no—
731C2×D79—41no—
732C2×D79—41no—
733C2×D79—41no—
734C2×D79—41no—
735C2×D79—41no—
736C2×D79—41no—
737C2×D79—41no—
738C2×D79—41no—
739C2×D79—41no—
740C2×D79—41no—
741C2×D79—41no—
742C2×D79—41no—
743C2×D79—41no—
744C2×D79—41no—
745C2×D79—41no—
746C2×D79—41no—
747C2×D79—41no—
748C2×D79—41no—
749C2×D79—41no—
750C2×D79—41no—
751C2×D79—41no—
752C2×D79—41no—
753C2×D79—41no—
754C4×C79—22no—
755C4×C79—41no—
756C4×C79—41no—
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—
767C4×C79—41no—
768Dic79—22no—
769Dic79—22no—
770Dic79—41no—
771Dic79—41no—
772Dic79—41no—
773Dic79—41no—
774Dic79—41no—
775Dic79—41no—
776Dic79—41no—
777Dic79—41no—
778Dic79—41no—
779#36734—791nomaximal, Sylow
780C2×C79—42no—
781C2×C79#345511yescharacteristic
782C2×C79#349011yescharacteristic
783C2×C79#349411yescharacteristic
784C2×C79#353311yescharacteristic
785C2×C79#353411yescharacteristic
786C2×C79#353911yescharacteristic
787C2×C79#354211yescharacteristic
788D79—42no—
789D79—42no—
790D79—81no—
791D79—81no—
792D79—81no—
793#2849—791no—
794#2847—791no—
795#2746—791no—
796#2746—791no—
797#2744D7911yescharacteristic, complemented
798#2743—791no—
799#2741—791no—
800#2722—791no—
801#2706—791no—
802#2705—791no—
803#2701—791no—
804#2699—791no—
805#2691—791no—
806#2685—791no—
807#2685—791no—
808#2678—791no—
809#2671—791no—
810#2668—791no—
811#2667—791no—
812#2661—791no—
813#2595—791no—
814#2576—791no—
815#2559—791no—
816#2559—791no—
817#2479—791no—
818#2476—791no—
819#2471—791no—
820#2470—791no—
821#2335—791no—
822#2333—791no—
823#2280—791no—
824C79#3673411yescharacteristic, complemented, Sylow
825C24×C4—791no—
826C2×#126—791no—
827C2×#126—791no—
828C2×#126—791no—
829C2×#123—791no—
830C2×#123—791no—
831C2×#123—791no—
832C2×#123—791no—
833C2×#121—791no—
834C2×#121—791no—
835C2×#121—791no—
836C2×#121—791no—
837C2×#121—791no—
838C2×#121—791no—
839C2×#120—791no—
840C2×#120—791no—
841C2×#120—791no—
842C2×#117—791no—
843C2×#117—791no—
844#401—791no—
845#400—791no—
846#400—791no—
847#400C2×D7911yescharacteristic, complemented
848#400C2×D7911yescharacteristic, complemented
849#399—791no—
850#399—791no—
851#399—791no—
852#399—791no—
853#399—791no—
854#398—791no—
855#398—791no—
856#398—791no—
857#398—791no—
858#398—791no—
859#398C2×D7911yescharacteristic, complemented
860#398C2×D7911yescharacteristic, complemented
861#397—791no—
862#397—791no—
863#397—791no—
864#397—791no—
865#397—791no—
866#397C2×D7911yescharacteristic
867#396—791no—
868#396—791no—
869#396—791no—
870#396—791no—
871#396C2×D7911yescharacteristic
872#394—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#394—791no—
883#394—791no—
884#394—791no—
885#394—791no—
886#394—791no—
887#394—791no—
888#392—791no—
889#392—791no—
890#392—791no—
891#392—791no—
892#390—791no—
893#390—791no—
894#390—791no—
895#390—791no—
896#390—791no—
897#390—791no—
898#390—791no—
899#390—791no—
900#389—791no—
901#389—791no—
902#389—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#388C2×D7911yescharacteristic
920#388C2×D7911yescharacteristic
921#387—791no—
922#387—791no—
923#387—791no—
924#387—791no—
925#387—791no—
926#387—791no—
927#387C2×D7911yescharacteristic, complemented
928#387C2×D7911yescharacteristic, complemented
929#387C2×D7911yescharacteristic, complemented
930#386—791no—
931#386—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#385—791no—
948#385—791no—
949#385—791no—
950#385—791no—
951#385—791no—
952#385—791no—
953#385—791no—
954#385—791no—
955#385C2×D7911yescharacteristic
956#382C2×D7911yescharacteristic, complemented
957#381—791no—
958#381—791no—
959#381—791no—
960#381—791no—
961#381C2×D7911yescharacteristic
962#380—791no—
963#380—791no—
964#380—791no—
965#380—791no—
966#380—791no—
967#380—791no—
968#380C2×D7911yescharacteristic
969#379—791no—
970#379—791no—
971#379—791no—
972C4×C4⋊C4—791no—
973C4×C22⋊C4—791no—
974C4×C22⋊C4—791no—
975C4×C22⋊C4—791no—
976C4×C22⋊C4—791no—
977C4×C22⋊C4—791no—
978C4×C22⋊C4—791no—
979C4×C22⋊C4—791no—
980C25—791no—
981C22×D4—791no—
982C22×D4—791no—
983C22×D4—791no—
984C22×D4—791no—
985C22×D4—791no—
986C22×D4—791no—
987C22×D4—791no—
988C22×D4—791no—
989C22×D4—791no—
990C22×D4—791no—
991C22×D4—791no—
992C22×D4—791no—
993C23×C4—3162no—
994C23×C4—3162no—
995C23×C4—791no—
996C23×C4—791no—
997C23×C4—791no—
998C23×C4—791no—
999C23×C4—791no—
1000C23×C4—791no—
1001C23×C4—791no—
1002C23×C4—791no—
1003C23×C4—1584no—
1004C23×C4C22×D7911yescharacteristic
1005#126—3162no—
1006#126—3162no—
1007#126—3162no—
1008#123—3162no—
1009#123—3162no—
1010#123—3162no—
1011#123—1584no—
1012#121—3162no—
1013#121—3162no—
1014#121—3162no—
1015#121—3162no—
1016#121—3162no—
1017#121—1584no—
1018#120—3162no—
1019#120—3162no—
1020#120—3162no—
1021#117—3162no—
1022#117—3162no—
1023C2×C4⋊C4—791no—
1024C2×C4⋊C4—791no—
1025C2×C4⋊C4—791no—
1026C2×C4⋊C4—791no—
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⋊C4C22×D7911yescharacteristic
1044C2×C4⋊C4C22×D7911yescharacteristic
1045C2×C4⋊C4C22×D7911yescharacteristic
1046C2×C4⋊C4C22×D7911yescharacteristic
1047C2×C4⋊C4C22×D7911yescharacteristic
1048C2×C4⋊C4C22×D7911yescharacteristic
1049C2×C4⋊C4C22×D7911yescharacteristic
1050C2×C4⋊C4C22×D7911yescharacteristic
1051C2×C4⋊C4C22×D7911yescharacteristic
1052C2×C4⋊C4C22×D7911yescharacteristic
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⋊C4—791no—
1093C2×C22⋊C4—791no—
1094C2×C22⋊C4—791no—
1095C2×C22⋊C4—791no—
1096C2×C22⋊C4—791no—
1097C2×C22⋊C4—791no—
1098C2×C22⋊C4—791no—
1099C2×C22⋊C4—791no—
1100C2×C22⋊C4—791no—
1101C2×C22⋊C4C22×D7911yescharacteristic
1102C2×C22⋊C4C22×D7911yescharacteristic
1103C2×C22⋊C4C22×D7911yescharacteristic
1104C2×C22⋊C4C22×D7911yescharacteristic
1105C2×C22⋊C4C22×D7911yescharacteristic
1106C2×C22⋊C4C22×D7911yescharacteristic
1107C2×C42—791no—
1108C2×C42—791no—
1109C2×C42—791no—
1110C2×C42—791no—
1111C2×C42—791no—
1112C2×C42—791no—
1113C2×C42—791no—
1114C2×C42C22×D7911yescharacteristic
1115C2×C42C22×D7911yescharacteristic
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#95C22×D7911yescharacteristic
1141#95C22×D7911yescharacteristic
1142#95C22×D7911yescharacteristic
1143#95C22×D7911yescharacteristic
1144#95C22×D7911yescharacteristic
1145#95C22×D7911yescharacteristic
1146#95C22×D7911yescharacteristic
1147#95C22×D7911yescharacteristic
1148#95C22×D7911yescharacteristic
1149#95C22×D7911yescharacteristic
1150#95C22×D7911yescharacteristic
1151#95C22×D7911yescharacteristic
1152#95C22×D7911yescharacteristic
1153#95C22×D7911yescharacteristic
1154#95C22×D7911yescharacteristic
1155#95C22×D7911yescharacteristic
1156C24—3161no—
1157C24—3161no—
1158C24—3161no—
1159C24—3161no—
1160C24—791no—
1161C24—791no—
1162C24—791no—
1163C24—791no—
1164C24—791no—
1165C24—1582no—
1166C24—1582no—
1167C24—1582no—
1168C24C23×D7911yescharacteristic
1169C2×D4—3161no—
1170C2×D4—3161no—
1171C2×D4—3161no—
1172C2×D4—3161no—
1173C2×D4—3161no—
1174C2×D4—3161no—
1175C2×D4—3161no—
1176C2×D4—3161no—
1177C2×D4—3161no—
1178C2×D4—3161no—
1179C2×D4—3161no—
1180C2×D4—3161no—
1181C2×D4—3161no—
1182C2×D4—3161no—
1183C2×D4—3161no—
1184C2×D4—3161no—
1185C2×D4—3161no—
1186C2×D4—3161no—
1187C2×D4—3161no—
1188C2×D4—3161no—
1189C2×D4—3161no—
1190C2×D4—3161no—
1191C2×D4—3161no—
1192C2×D4—3161no—
1193C2×D4—3161no—
1194C2×D4—3161no—
1195C2×D4—1582no—
1196C2×D4—1582no—
1197C2×D4—1582no—
1198C2×D4—1582no—
1199C2×D4—1582no—
1200C2×D4—1582no—
1201C2×D4—1582no—
1202C2×D4—1582no—
1203C2×D4—1582no—
1204C2×D4—1582no—
1205C22×C4—22no—
1206C22×C4—22no—
1207C22×C4—41no—
1208C22×C4—3161no—
1209C22×C4—3161no—
1210C22×C4—3161no—
1211C22×C4—3161no—
1212C22×C4—3161no—
1213C22×C4—3161no—
1214C22×C4—3161no—
1215C22×C4—3161no—
1216C22×C4—3161no—
1217C22×C4—3161no—
1218C22×C4—3161no—
1219C22×C4—3161no—
1220C22×C4—3161no—
1221C22×C4—3161no—
1222C22×C4—3161no—
1223C22×C4—31616no—
1224C22×C4—794no—
1225C22×C4—791no—
1226C22×C4—791no—
1227C22×C4—791no—
1228C22×C4—791no—
1229C22×C4—791no—
1230C22×C4—791no—
1231C22×C4—791no—
1232C22×C4—791no—
1233C22×C4—791no—
1234C22×C4—791no—
1235C22×C4—791no—
1236C22×C4—1582no—
1237C22×C4—1582no—
1238C22×C4—1582no—
1239C22×C4—1582no—
1240C22×C4—1582no—
1241C22×C4—1582no—
1242C22×C4—1582no—
1243C22×C4—1582no—
1244C22×C4C23×D7911yescharacteristic
1245C22×C4C23×D7911yescharacteristic
1246C22×C4C23×D7911yescharacteristic
1247C22×C4C23×D7911yescharacteristic
1248C22×C4C23×D7911yescharacteristic
1249C22×C4C23×D7911yescharacteristic
1250C22×C4C23×D7911yescharacteristic
1251C22×C4C23×D7911yescharacteristic
1252C22×C4C23×D7911yescharacteristic
1253C22×C4C23×D7911yescharacteristic
1254C22×C4C23×D7911yescharacteristic
1255C22×C4C23×D7911yescharacteristic
1256C22×C4C23×D7911yescharacteristic
1257C22×C4C23×D7911yescharacteristic
1258C4⋊C4—22no—
1259C4⋊C4—22no—
1260C4⋊C4—41no—
1261C4⋊C4—41no—
1262C4⋊C4—41no—
1263C4⋊C4—41no—
1264C4⋊C4—41no—
1265C4⋊C4—41no—
1266C4⋊C4—41no—
1267C4⋊C4—41no—
1268C4⋊C4—3161no—
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—
1288C22⋊C4—22no—
1289C22⋊C4—22no—
1290C22⋊C4—41no—
1291C22⋊C4—41no—
1292C22⋊C4—41no—
1293C22⋊C4—41no—
1294C22⋊C4—3161no—
1295C22⋊C4—3161no—
1296C22⋊C4—3161no—
1297C22⋊C4—3161no—
1298C22⋊C4—3161no—
1299C22⋊C4—3161no—
1300C22⋊C4—3161no—
1301C22⋊C4—3161no—
1302C22⋊C4—3161no—
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—1582no—
1329C22⋊C4—1582no—
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—
1342C42—41no—
1343C42—41no—
1344C42—3161no—
1345C42—3161no—
1346C42—3161no—
1347C42—3161no—
1348C42—3161no—
1349C42—3161no—
1350C42—3161no—
1351C23—21no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—3164no—
1358C23—3164no—
1359C23—3164no—
1360C23—3164no—
1361C23—3164no—
1362C23—3164no—
1363C23—3164no—
1364C23—792no—
1365C23—792no—
1366C23—1581no—
1367C23—1581no—
1368C23—1581no—
1369C23—1581no—
1370C23—1581no—
1371C23—1581no—
1372C23—1581no—
1373C23—1581no—
1374C23—1581no—
1375C23—1581no—
1376C23—1581no—
1377C23—1581no—
1378C23—1581no—
1379C23—1581no—
1380C23—1581no—
1381C23—1581no—
1382C23—1581no—
1383C23—1581no—
1384C23—1581no—
1385C23—1581no—
1386C23—1581no—
1387C23—1581no—
1388C23—1581no—
1389C23—1581no—
1390C23—1581no—
1391C23—1581no—
1392C23—1581no—
1393C23—1581no—
1394C23—1581no—
1395C23—1581no—
1396C23—1581no—
1397C23—1581no—
1398C23—1581no—
1399C23#1457920712yes—
1400C23C24×D7911yescharacteristic
1401D4—6322no—
1402D4—6322no—
1403D4—6322no—
1404D4—6322no—
1405D4—6322no—
1406D4—6322no—
1407D4—6322no—
1408D4—6322no—
1409D4—6322no—
1410D4—6322no—
1411D4—6322no—
1412D4—6322no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
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—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—44no—
1455C2×C4—3164no—
1456C2×C4—3164no—
1457C2×C4—3164no—
1458C2×C4—3164no—
1459C2×C4—792no—
1460C2×C4—792no—
1461C2×C4—6322no—
1462C2×C4—6322no—
1463C2×C4—6322no—
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—1588no—
1492C2×C4—1581no—
1493C2×C4—1581no—
1494C2×C4—1581no—
1495C2×C4—1581no—
1496C2×C4#41×D7912yes—
1497C22—22no—
1498C22—22no—
1499C22—22no—
1500C22—41no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—31616no—
1505C22—3161no—
1506C22—3161no—
1507C22—3161no—
1508C22—3161no—
1509C22—3161no—
1510C22—3161no—
1511C22—3161no—
1512C22—3161no—
1513C22—3161no—
1514C22—3161no—
1515C22—3161no—
1516C22—3161no—
1517C22—3161no—
1518C22—3161no—
1519C22—3161no—
1520C22—3161no—
1521C22—3161no—
1522C22—3161no—
1523C22—3161no—
1524C22—3161no—
1525C22—3161no—
1526C22—3161no—
1527C22—3161no—
1528C22—3161no—
1529C22—3161no—
1530C22—3161no—
1531C22—3161no—
1532C22—3161no—
1533C22—3161no—
1534C22—1582no—
1535C22—1582no—
1536C22—1582no—
1537C22—1582no—
1538C22—1582no—
1539C22—1582no—
1540C22C2×#41×D7911yescharacteristic
1541C22H(5,𝔽2)×D7911yescharacteristic
1542C22H(5,𝔽2)×D7911yescharacteristic
1543C22C2×#1457920711yescharacteristic
1544C22#1909939911yescharacteristic
1545C22#1909940011yescharacteristic
1546C22#1909940011yescharacteristic
1547C4—22no—
1548C4—41no—
1549C4—41no—
1550C4—41no—
1551C4—41no—
1552C4—41no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—3161no—
1562C4—3161no—
1563C4—3161no—
1564C4—3161no—
1565C4—3161no—
1566C4—3161no—
1567C4—3161no—
1568C4—3161no—
1569C4—3161no—
1570C4—1582no—
1571C4—1582no—
1572C2—42no—
1573C2—3162no—
1574C2—3162no—
1575C2—6321no—
1576C2—6321no—
1577C2—6321no—
1578C2#2377679111yescharacteristic
1579C2#2377708411yescharacteristic
1580C2#2377713411yescharacteristic
1581C2#2377756611yescharacteristic
1582C2#2377758811yescharacteristic
1583C2#2377765811yescharacteristic
1584C2#2377771311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2744C2
hypercenter#2744D79
hypocenterC79#36734
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2744

Complements

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

NH ≅ G/Ntype
1. #23771695C2semidirect
2. #23771683C2semidirect
3. #23770589C2semidirect
4. #23770580C2semidirect
5. #23770532C2semidirect
6. #23770509C2semidirect
7. #23770311C2semidirect
8. #23770085C2semidirect
9. #23770074C2semidirect
10. #23770017C2semidirect
11. #23769987C2semidirect
12. #23769884C2semidirect
13. #23769798C2semidirect
14. #23769788C2semidirect
15. #23769723C2semidirect
16. #23769643C2semidirect
17. #23769610C2semidirect
18. #23769601C2semidirect
19. #23769533C2semidirect
20. #23768919C2semidirect
21. #23768702C2semidirect
22. #23768532C2semidirect
23. #23768532C2semidirect
24. #23767635C2semidirect
25. #23767584C2semidirect
26. #23767514C2semidirect
27. #23767491C2semidirect
28. #23766189C2semidirect
29. #23766164C2semidirect
30. #23765780C2semidirect
31. C79×#2744C2semidirect
35. C2×#14579155C22semidirect
38. C2×#14579146C22semidirect
51. C79⋊#401C22semidirect
52. #19098504C22semidirect
53. #19098503C22semidirect
57. #19098498C22semidirect
58. #19098498C22semidirect
59. #19098497C22semidirect
60. #19098497C22semidirect
61. #19098497C22semidirect
62. #19098496C22semidirect
63. #19098493C22semidirect
65. #19098492C22semidirect
67. #19098489C22semidirect
68. #19098489C22semidirect
70. #19098487C22semidirect
72. #19098485C22semidirect
78. #19098481C22semidirect
79. #19098481C22semidirect
80. #19098481C22semidirect
84. #19098480C22semidirect
91. #19098473C22semidirect
97. #19098464C22semidirect
98. #19098464C22semidirect
101. #19098462C22semidirect
102. #19098460C22semidirect
103. #19098458C22semidirect
104. #19098458C22semidirect
106. #19098455C22semidirect
107. #19098455C22semidirect
108. #19098455C22semidirect
110. #19098454C22semidirect
112. #19098453C22semidirect
114. #19098452C22semidirect
115. #19098452C22semidirect
116. #19098452C22semidirect
117. #19098452C22semidirect
118. #19098452C22semidirect
120. #19098450C22semidirect
121. #19098449C22semidirect
122. #19098448C22semidirect
123. #19098445C22semidirect
124. #19098444C22semidirect
125. #19098444C22semidirect
137. #19098441C22semidirect
138. #19098441C22semidirect
143. #19098437C22semidirect
144. #19098437C22semidirect
145. #19098437C22semidirect
149. #19098434C22semidirect
150. #19098434C22semidirect
154. #19098425C22semidirect
164. C4×Dic79⋊C4C22semidirect
165. C4×(C2×D79)⋊C4C22semidirect
170. #19098410C22semidirect
171. #19098410C22semidirect
172. #400×C79C22semidirect
173. #400×C79C22semidirect
174. #398×C79C22semidirect
175. #398×C79C22semidirect
180. #387×C79C22semidirect
181. #387×C79C22semidirect
182. #387×C79C22semidirect
184. #382×C79C22semidirect
797. #2744D79semidirect
824. C79#36734semidirect
847. #400C2×D79semidirect
848. #400C2×D79semidirect
859. #398C2×D79semidirect
860. #398C2×D79semidirect
927. #387C2×D79semidirect
928. #387C2×D79semidirect
929. #387C2×D79semidirect
956. #382C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237716952
#237716832
#237705892
#237705802
#237705322
#237705092
#237703112
#237700852
#237700742
#237700172
#237699872
#237698842
#237697982
#237697882
#237697232
#237696432
#237696102
#237696012
#237695332
#237689192
#237687022
#237685322
#237676352
#237675842
#237675142
#237674912
#237661892
#237661642
#237657802
C79×#27442
#3673479