Finite Group Databasebeta

← #34495582

Subgroups — #34495582

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#23771693C211yesmaximal, characteristic, complemented
2#23771681C211yesmaximal, characteristic, complemented
3#23770598C211yesmaximal, characteristic, complemented
4#23770482C211yesmaximal, characteristic, complemented
5#23770456C211yesmaximal, characteristic, complemented
6#23770455C211yesmaximal, characteristic, complemented
7#23770240C211yesmaximal, characteristic, complemented
8#23770041C211yesmaximal, characteristic, complemented
9#23769960C211yesmaximal, characteristic, complemented
10#23769950C211yesmaximal, characteristic, complemented
11#23769911C211yesmaximal, characteristic, complemented
12#23769841C211yesmaximal, characteristic, complemented
13#23769799C211yesmaximal, characteristic, complemented
14#23769775C211yesmaximal, characteristic, complemented
15#23769730C211yesmaximal, characteristic, complemented
16#23769656C211yesmaximal, characteristic, complemented
17#23769623C211yesmaximal, characteristic, complemented
18#23769571C211yesmaximal, characteristic, complemented
19#23769527C211yesmaximal, characteristic, complemented
20#23768947C211yesmaximal, characteristic, complemented
21#23768727C211yesmaximal, characteristic, complemented
22#23768505C211yesmaximal, characteristic, complemented
23#23768502C211yesmaximal, characteristic, complemented
24#23767599C211yesmaximal, characteristic, complemented
25#23767589C211yesmaximal, characteristic, complemented
26#23767562C211yesmaximal, characteristic, complemented
27#23767504C211yesmaximal, characteristic, complemented
28#23766195C211yesmaximal, characteristic, complemented
29#23766159C211yesmaximal, characteristic, complemented
30#23765782C211yesmaximal, characteristic, complemented
31C79×#2740C211yesmaximal, characteristic, complemented
32C23×C4×D79C2211yescharacteristic
33C2×#14579149C2211yescharacteristic
34C2×#14579147C2211yescharacteristic
35C2×#14579147C2211yescharacteristic
36C2×#14579146C2211yescharacteristic
37C2×#14579146C2211yescharacteristic
38C2×#14579145C2211yescharacteristic
39C2×#14579145C2211yescharacteristic, complemented
40C2×#14579144C2211yescharacteristic
41C2×#14579139C2211yescharacteristic, complemented
42C2×#14579136C2211yescharacteristic
43C2×#14579134C2211yescharacteristic
44C2×#14579134C2211yescharacteristic
45C2×#14579133C2211yescharacteristic
46C2×#14579131C2211yescharacteristic
47C2×#14579131C2211yescharacteristic
48C2×#14579129C2211yescharacteristic
49C2×#14579119C2211yescharacteristic
50C2×#14579119C2211yescharacteristic
51#19098505C2211yescharacteristic, complemented
52#19098504C2211yescharacteristic, complemented
53#19098503C2211yescharacteristic, complemented
54#19098503C2211yescharacteristic, complemented
55#19098501C2211yescharacteristic, complemented
56#19098496C2211yescharacteristic, complemented
57#19098492C2211yescharacteristic
58#19098492C2211yescharacteristic
59#19098492C2211yescharacteristic
60#19098492C2211yescharacteristic, complemented
61#19098492C2211yescharacteristic, complemented
62#19098490C2211yescharacteristic
63#19098490C2211yescharacteristic, complemented
64#19098490C2211yescharacteristic, complemented
65#19098489C2211yescharacteristic
66#19098489C2211yescharacteristic, complemented
67#19098486C2211yescharacteristic
68#19098486C2211yescharacteristic, complemented
69#19098485C2211yescharacteristic
70#19098484C2211yescharacteristic, complemented
71#19098483C2211yescharacteristic, complemented
72#19098483C2211yescharacteristic, complemented
73#19098481C2211yescharacteristic
74#19098480C2211yescharacteristic
75#19098480C2211yescharacteristic
76#19098480C2211yescharacteristic
77#19098480C2211yescharacteristic, complemented
78#19098479C2211yescharacteristic
79#19098479C2211yescharacteristic, complemented
80#19098478C2211yescharacteristic
81#19098478C2211yescharacteristic
82#19098476C2211yescharacteristic
83#19098476C2211yescharacteristic, complemented
84#19098476C2211yescharacteristic, complemented
85#19098475C2211yescharacteristic
86#19098475C2211yescharacteristic
87#19098473C2211yescharacteristic
88#19098472C2211yescharacteristic
89#19098472C2211yescharacteristic
90#19098472C2211yescharacteristic
91#19098472C2211yescharacteristic, complemented
92#19098471C2211yescharacteristic
93#19098468C2211yescharacteristic, complemented
94#19098467C2211yescharacteristic, complemented
95#19098465C2211yescharacteristic
96#19098464C2211yescharacteristic
97#19098464C2211yescharacteristic, complemented
98#19098463C2211yescharacteristic
99#19098463C2211yescharacteristic
100#19098463C2211yescharacteristic, complemented
101#19098459C2211yescharacteristic, complemented
102#19098456C2211yescharacteristic
103#19098456C2211yescharacteristic, complemented
104#19098455C2211yescharacteristic, complemented
105#19098455C2211yescharacteristic, complemented
106#19098454C2211yescharacteristic
107#19098454C2211yescharacteristic
108#19098454C2211yescharacteristic, complemented
109#19098453C2211yescharacteristic
110#19098453C2211yescharacteristic
111#19098453C2211yescharacteristic
112#19098453C2211yescharacteristic, complemented
113#19098453C2211yescharacteristic, complemented
114#19098452C2211yescharacteristic, complemented
115#19098451C2211yescharacteristic, complemented
116#19098449C2211yescharacteristic, complemented
117#19098448C2211yescharacteristic, complemented
118#19098447C2211yescharacteristic, complemented
119#19098446C2211yescharacteristic, complemented
120#19098446C2211yescharacteristic, complemented
121#19098445C2211yescharacteristic, complemented
122#19098444C2211yescharacteristic, complemented
123#19098444C2211yescharacteristic, complemented
124#19098444C2211yescharacteristic, complemented
125#19098443C2211yescharacteristic
126#19098442C2211yescharacteristic
127#19098441C2211yescharacteristic
128#19098441C2211yescharacteristic
129#19098441C2211yescharacteristic
130#19098441C2211yescharacteristic
131#19098441C2211yescharacteristic
132#19098441C2211yescharacteristic
133#19098441C2211yescharacteristic
134#19098441C2211yescharacteristic, complemented
135#19098440C2211yescharacteristic
136#19098440C2211yescharacteristic
137#19098440C2211yescharacteristic, complemented
138#19098439C2211yescharacteristic
139#19098439C2211yescharacteristic
140#19098439C2211yescharacteristic
141#19098439C2211yescharacteristic
142#19098439C2211yescharacteristic, complemented
143#19098439C2211yescharacteristic, complemented
144#19098437C2211yescharacteristic
145#19098437C2211yescharacteristic
146#19098437C2211yescharacteristic
147#19098437C2211yescharacteristic
148#19098437C2211yescharacteristic, complemented
149#19098437C2211yescharacteristic, complemented
150#19098430C2211yescharacteristic, complemented
151#19098425C2211yescharacteristic
152#19098425C2211yescharacteristic
153#19098424C2211yescharacteristic
154#19098423C2211yescharacteristic
155#19098422C2211yescharacteristic
156#19098422C2211yescharacteristic
157#19098421C2211yescharacteristic
158#19098421C2211yescharacteristic, complemented
159#19098420C2211yescharacteristic
160#19098420C2211yescharacteristic
161#19098418C2211yescharacteristic
162#19098418C2211yescharacteristic
163#19098418C2211yescharacteristic
164C4×C4⋊Dic79C2211yescharacteristic, complemented
165C22⋊C4×Dic79C2211yescharacteristic
166C22⋊C4×Dic79C2211yescharacteristic
167C22⋊C4×Dic79C2211yescharacteristic, complemented
168C4×(C2×D79)⋊C4C2211yescharacteristic, complemented
169#19098410C2211yescharacteristic
170#19098410C2211yescharacteristic
171#19098410C2211yescharacteristic, complemented
172#399×C79C2211yescharacteristic, complemented
173#398×C79C2211yescharacteristic, complemented
174#397×C79C2211yescharacteristic, complemented
175#397×C79C2211yescharacteristic, complemented
176#396×C79C2211yescharacteristic
177#394×C79C2211yescharacteristic
178#390×C79C2211yescharacteristic
179#388×C79C2211yescharacteristic
180#388×C79C2211yescharacteristic, complemented
181#387×C79C2211yescharacteristic, complemented
182#387×C79C2211yescharacteristic, complemented
183#387×C79C2211yescharacteristic, complemented
184#386×C79C2211yescharacteristic
185#381×C79C2211yescharacteristic
186#380×C79C2211yescharacteristic
187C24×D79C2311yescharacteristic
188C22×Dic158C2311yescharacteristic
189C22×Dic158C2311yescharacteristic
190C22×D316C2311yescharacteristic
191C22×D316C2311yescharacteristic
192C22×D316C2311yescharacteristic
193C22×D316C2311yescharacteristic
194C22×D316C2311yescharacteristic
195C22×C22⋊D79C2311yescharacteristic
196C22×C22⋊D79C2311yescharacteristic
197C22×C22⋊D79C2311yescharacteristic
198C22×C22⋊D79C2311yescharacteristic
199C22×C22⋊D79C2311yescharacteristic
200C22×C22⋊D79C2311yescharacteristic
201C23×Dic79C2311yescharacteristic
202C23×Dic79C2311yescharacteristic
203C22×C4×D79—24no—
204C22×C4×D79—42no—
205C22×C4×D79—42no—
206C22×C4×D79C2311yescharacteristic
207C22×C4×D79C2311yescharacteristic
208C22×C4×D79C2311yescharacteristic
209C22×C4×D79C2311yescharacteristic
210C22×C4×D79C2311yescharacteristic
211C22×C4×D79C2311yescharacteristic
212#14579149—42no—
213#14579147—42no—
214#14579147—42no—
215#14579146—42no—
216#14579146—42no—
217#14579145—24no—
218#14579145—42no—
219#14579144—42no—
220#14579139—42no—
221#14579136—42no—
222#14579134—42no—
223#14579134—42no—
224#14579133—24no—
225#14579131—42no—
226#14579131—42no—
227#14579129—42no—
228#14579119—42no—
229#14579119—42no—
230C2×C4⋊Dic79C2311yescharacteristic
231C2×C4⋊Dic79C2311yescharacteristic
232C2×C4⋊Dic79C2311yescharacteristic
233C2×C4⋊Dic79C2311yescharacteristic
234C2×C4⋊Dic79C2311yescharacteristic
235C2×C4⋊Dic79C2311yescharacteristic
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×C22⋊Dic79C2311yescharacteristic
247C2×C22⋊Dic79C2311yescharacteristic
248C2×C22⋊Dic79C2311yescharacteristic
249C2×C22⋊Dic79C2311yescharacteristic
250C2×C22⋊Dic79C2311yescharacteristic
251C2×C22⋊Dic79C2311yescharacteristic
252C2×C22⋊Dic79C2311yescharacteristic
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×C4×Dic79C2311yescharacteristic
290C2×C4×Dic79C2311yescharacteristic
291C2×C4×Dic79C2311yescharacteristic
292C2×C4×Dic79C2311yescharacteristic
293C2×C4×Dic79C2311yescharacteristic
294C2×C4×Dic79C2311yescharacteristic
295C2×C4×Dic79C2311yescharacteristic
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
326C79⋊#95C2311yescharacteristic
327C79⋊#95C2311yescharacteristic
328C22×D4×C79C2311yescharacteristic
329C23×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×C22⋊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×C22⋊C4×C79C2311yescharacteristic
346C2×C22⋊C4×C79C2311yescharacteristic
347C2×C22⋊C4×C79C2311yescharacteristic
348C2×C22⋊C4×C79C2311yescharacteristic
349C2×C42×C79C2311yescharacteristic
350C2×C42×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
374C2×Dic158—41no—
375C2×Dic158—41no—
376C2×Dic158—41no—
377C2×Dic158—41no—
378C2×Dic158—41no—
379C2×Dic158—41no—
380C2×D316—22no—
381C2×D316—22no—
382C2×D316—22no—
383C2×D316—22no—
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×C22⋊D79—22no—
396C2×C22⋊D79—22no—
397C2×C22⋊D79—22no—
398C2×C22⋊D79—22no—
399C2×C22⋊D79—22no—
400C2×C22⋊D79—41no—
401C2×C22⋊D79—41no—
402C2×C22⋊D79—41no—
403C2×C22⋊D79—41no—
404C2×C22⋊D79—41no—
405C2×C22⋊D79—41no—
406C2×C22⋊D79—41no—
407C2×C22⋊D79—41no—
408C2×C22⋊D79—41no—
409C2×C22⋊D79—41no—
410C2×C22⋊D79—41no—
411C2×C22⋊D79—41no—
412C2×C22⋊D79—41no—
413C22×Dic79—41no—
414C22×Dic79—41no—
415C22×Dic79—41no—
416C22×Dic79—41no—
417C22×Dic79—41no—
418C22×Dic79#4114yes—
419C22×Dic79C2411yescharacteristic
420C22×Dic79C2411yescharacteristic
421C22×Dic79C2411yescharacteristic
422C22×Dic79C2411yescharacteristic
423C22×Dic79C2411yescharacteristic
424C22×Dic79C2411yescharacteristic
425C22×Dic79C2411yescharacteristic
426C22×Dic79C2411yescharacteristic
427C22×Dic79C2411yescharacteristic
428C22×Dic79C2411yescharacteristic
429C22×Dic79C2411yescharacteristic
430C22×Dic79C2411yescharacteristic
431C2×C4×D79—22no—
432C2×C4×D79—22no—
433C2×C4×D79—22no—
434C2×C4×D79—22no—
435C2×C4×D79—22no—
436C2×C4×D79—22no—
437C2×C4×D79—22no—
438C2×C4×D79—22no—
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—41no—
446C2×C4×D79—41no—
447C2×C4×D79—41no—
448C2×C4×D79—41no—
449C2×C4×D79—416no—
450C4⋊Dic79—22no—
451C4⋊Dic79—22no—
452C4⋊Dic79—22no—
453C4⋊Dic79—41no—
454C4⋊Dic79—41no—
455C4⋊Dic79—41no—
456Dic79⋊C4—22no—
457Dic79⋊C4—22no—
458Dic79⋊C4—41no—
459Dic79⋊C4—41no—
460Dic79⋊C4—41no—
461Dic79⋊C4—41no—
462Dic79⋊C4—41no—
463Dic79⋊C4—41no—
464Dic79⋊C4—41no—
465Dic79⋊C4—41no—
466C22⋊Dic79—22no—
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—22no—
480(C2×D79)⋊C4—22no—
481(C2×D79)⋊C4—22no—
482(C2×D79)⋊C4—22no—
483(C2×D79)⋊C4—22no—
484(C2×D79)⋊C4—22no—
485(C2×D79)⋊C4—22no—
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—
509C4×Dic79—41no—
510C4×Dic79—41no—
511C4×Dic79—41no—
512C4×Dic79—41no—
513C4×Dic79—41no—
514C4×Dic79—41no—
515C4×Dic79—41no—
516C24×C79C2411yescharacteristic
517C24×C79C2411yescharacteristic
518C2×D4×C79—22no—
519C2×D4×C79—41no—
520C2×D4×C79—41no—
521C22×C4×C79—22no—
522C22×C4×C79—22no—
523C22×C4×C79—41no—
524C22×C4×C79C2411yescharacteristic
525C22×C4×C79C2411yescharacteristic
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
537C4⋊C4×C79—22no—
538C4⋊C4×C79—41no—
539C4⋊C4×C79—41no—
540C4⋊C4×C79—41no—
541C4⋊C4×C79—41no—
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—
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×C79—21no—
565C23×C79—21no—
566C23×C79—21no—
567C23×C79—21no—
568C23×C79—21no—
569C23×C79—21no—
570C23×C79—21no—
571C23×C79C2×#4112yes—
572C23×C79C2511yescharacteristic
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×D79H(5,𝔽2)12yes—
607C22×D79H(5,𝔽2)12yes—
608D4×C79—82no—
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—44no—
648C2×C4×C79H(5,𝔽2)12yes—
649C22⋊D79—82no—
650C22⋊D79—82no—
651C22⋊D79—82no—
652C22⋊D79—82no—
653C22⋊D79—82no—
654C22⋊D79—82no—
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×Dic79—21no—
687C2×Dic79—21no—
688C2×Dic79—21no—
689C2×Dic79—44no—
690C2×Dic79—82no—
691C2×Dic79C2×#4112yes—
692C2×Dic79C2×#4112yes—
693D316—82no—
694D316—82no—
695D316—82no—
696D316—82no—
697D316—82no—
698C4×D79—28no—
699C4×D79—44no—
700C4×D79—44no—
701C4×D79—44no—
702C4×D79—82no—
703C4×D79—82no—
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×C79C22×#4111yescharacteristic
721C22×C79C2×H(5,𝔽2)11yescharacteristic
722C22×C79C2×H(5,𝔽2)11yescharacteristic
723C22×C79C2×H(5,𝔽2)11yescharacteristic
724C22×C79#58511yescharacteristic
725C22×C79#58511yescharacteristic
726C22×C79#58511yescharacteristic
727C2×D79—22no—
728C2×D79—22no—
729C2×D79—22no—
730C2×D79—22no—
731C2×D79—22no—
732C2×D79—22no—
733C2×D79—416no—
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—
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—
767C4×C79—41no—
768C4×C79—41no—
769Dic79—22no—
770Dic79—22no—
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#345511yescharacteristic
785C2×C79#349011yescharacteristic
786C2×C79#349411yescharacteristic
787C2×C79#353311yescharacteristic
788C2×C79#353411yescharacteristic
789C2×C79#354011yescharacteristic
790C2×C79#354211yescharacteristic
791D79—42no—
792D79—42no—
793D79—81no—
794D79—81no—
795#2849—791no—
796#2847—791no—
797#2747—791no—
798#2740D7911yescharacteristic, complemented
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#2688—791no—
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×#121—791no—
840C2×#121—791no—
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#400—791no—
851#399C2×D7911yescharacteristic, complemented
852#398—791no—
853#398C2×D7911yescharacteristic, complemented
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#396C2×D7911yescharacteristic
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#392—791no—
893#392—791no—
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#390C2×D7911yescharacteristic
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#388C2×D7911yescharacteristic
919#388C2×D7911yescharacteristic, complemented
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#387C2×D7911yescharacteristic, complemented
930#387C2×D7911yescharacteristic, complemented
931#387C2×D7911yescharacteristic, complemented
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#386—791no—
948#386—791no—
949#386—791no—
950#386—791no—
951#386C2×D7911yescharacteristic
952#385—791no—
953#385—791no—
954#385—791no—
955#385—791no—
956#385—791no—
957#385—791no—
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#380C2×D7911yescharacteristic
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×D4—791no—
992C22×D4—791no—
993C22×D4—791no—
994C22×D4—791no—
995C22×D4—791no—
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—791no—
1006C23×C4—791no—
1007C23×C4—1584no—
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—3162no—
1019#121—3162no—
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⋊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×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⋊C4—791no—
1093C2×C22⋊C4—791no—
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×C42C22×D7911yescharacteristic
1113C2×C42C22×D7911yescharacteristic
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#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
1156#95C22×D7911yescharacteristic
1157#95C22×D7911yescharacteristic
1158C24—3161no—
1159C24—3161no—
1160C24—3161no—
1161C24—3161no—
1162C24—791no—
1163C24—791no—
1164C24—791no—
1165C24—791no—
1166C24—1582no—
1167C24—1582no—
1168C24—1582no—
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—41no—
1179C2×D4—41no—
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—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—1582no—
1205C2×D4—1582no—
1206C2×D4—1582no—
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—3161no—
1217C22×C4—3161no—
1218C22×C4—3161no—
1219C22×C4—3161no—
1220C22×C4—3161no—
1221C22×C4—3161no—
1222C22×C4—3161no—
1223C22×C4—3161no—
1224C22×C4—3161no—
1225C22×C4—3161no—
1226C22×C4—31616no—
1227C22×C4—3161no—
1228C22×C4—3161no—
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—1582no—
1246C22×C4—1582no—
1247C22×C4—1582no—
1248C22×C4—1582no—
1249C22×C4—1582no—
1250C22×C4—1582no—
1251C22×C4—1582no—
1252C22×C4—1582no—
1253C22×C4C23×D7911yescharacteristic
1254C22×C4C23×D7911yescharacteristic
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—22no—
1267C4⋊C4—41no—
1268C4⋊C4—41no—
1269C4⋊C4—41no—
1270C4⋊C4—41no—
1271C4⋊C4—41no—
1272C4⋊C4—41no—
1273C4⋊C4—41no—
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—3161no—
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—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—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—41no—
1345C42—41no—
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—3164no—
1367C23—3164no—
1368C23—3164no—
1369C23—3164no—
1370C23—3164no—
1371C23—3164no—
1372C23—3164no—
1373C23—792no—
1374C23—792no—
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—1581no—
1400C23—1581no—
1401C23#41×D7912yes—
1402C23C24×D7911yescharacteristic
1403Q8—6322no—
1404Q8—6322no—
1405D4—82no—
1406D4—6322no—
1407D4—6322no—
1408D4—6322no—
1409D4—6322no—
1410D4—6322no—
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—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—44no—
1456C2×C4—3164no—
1457C2×C4—3164no—
1458C2×C4—3164no—
1459C2×C4—3164no—
1460C2×C4—792no—
1461C2×C4—792no—
1462C2×C4—6322no—
1463C2×C4—6322no—
1464C2×C4—6322no—
1465C2×C4—1588no—
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—1581no—
1496C2×C4—1581no—
1497C2×C4—1581no—
1498C2×C4—1581no—
1499C2×C4—1581no—
1500C2×C4#1457920712yes—
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—31616no—
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—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×#1457920711yescharacteristic
1548C22#1909939811yescharacteristic
1549C22#1909939911yescharacteristic
1550C22#1909940011yescharacteristic
1551C4—22no—
1552C4—41no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C4—41no—
1563C4—41no—
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—3162no—
1579C2—3162no—
1580C2—6321no—
1581C2—6321no—
1582C2#2377678611yescharacteristic
1583C2#2377708411yescharacteristic
1584C2#2377712611yescharacteristic
1585C2#2377756011yescharacteristic
1586C2#2377759211yescharacteristic
1587C2#2377767611yescharacteristic
1588C2#2377772211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2740C2
hypercenter#2740D79
hypocenterC79#36735
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2740

Complements

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

NH ≅ G/Ntype
1. #23771693C2semidirect
2. #23771681C2semidirect
3. #23770598C2semidirect
4. #23770482C2semidirect
5. #23770456C2semidirect
6. #23770455C2semidirect
7. #23770240C2semidirect
8. #23770041C2semidirect
9. #23769960C2semidirect
10. #23769950C2semidirect
11. #23769911C2semidirect
12. #23769841C2semidirect
13. #23769799C2semidirect
14. #23769775C2semidirect
15. #23769730C2semidirect
16. #23769656C2semidirect
17. #23769623C2semidirect
18. #23769571C2semidirect
19. #23769527C2semidirect
20. #23768947C2semidirect
21. #23768727C2semidirect
22. #23768505C2semidirect
23. #23768502C2semidirect
24. #23767599C2semidirect
25. #23767589C2semidirect
26. #23767562C2semidirect
27. #23767504C2semidirect
28. #23766195C2semidirect
29. #23766159C2semidirect
30. #23765782C2semidirect
31. C79×#2740C2semidirect
39. C2×#14579145C22semidirect
41. C2×#14579139C22semidirect
51. #19098505C22semidirect
52. #19098504C22semidirect
53. #19098503C22semidirect
54. #19098503C22semidirect
55. #19098501C22semidirect
56. #19098496C22semidirect
60. #19098492C22semidirect
61. #19098492C22semidirect
63. #19098490C22semidirect
64. #19098490C22semidirect
66. #19098489C22semidirect
68. #19098486C22semidirect
70. #19098484C22semidirect
71. #19098483C22semidirect
72. #19098483C22semidirect
77. #19098480C22semidirect
79. #19098479C22semidirect
83. #19098476C22semidirect
84. #19098476C22semidirect
91. #19098472C22semidirect
93. #19098468C22semidirect
94. #19098467C22semidirect
97. #19098464C22semidirect
100. #19098463C22semidirect
101. #19098459C22semidirect
103. #19098456C22semidirect
104. #19098455C22semidirect
105. #19098455C22semidirect
108. #19098454C22semidirect
112. #19098453C22semidirect
113. #19098453C22semidirect
114. #19098452C22semidirect
115. #19098451C22semidirect
116. #19098449C22semidirect
117. #19098448C22semidirect
118. #19098447C22semidirect
119. #19098446C22semidirect
120. #19098446C22semidirect
121. #19098445C22semidirect
122. #19098444C22semidirect
123. #19098444C22semidirect
124. #19098444C22semidirect
134. #19098441C22semidirect
137. #19098440C22semidirect
142. #19098439C22semidirect
143. #19098439C22semidirect
148. #19098437C22semidirect
149. #19098437C22semidirect
150. #19098430C22semidirect
158. #19098421C22semidirect
164. C4×C4⋊Dic79C22semidirect
167. C22⋊C4×Dic79C22semidirect
168. C4×(C2×D79)⋊C4C22semidirect
171. #19098410C22semidirect
172. #399×C79C22semidirect
173. #398×C79C22semidirect
174. #397×C79C22semidirect
175. #397×C79C22semidirect
180. #388×C79C22semidirect
181. #387×C79C22semidirect
182. #387×C79C22semidirect
183. #387×C79C22semidirect
798. #2740D79semidirect
826. C79#36735semidirect
851. #399C2×D79semidirect
853. #398C2×D79semidirect
864. #397C2×D79semidirect
865. #397C2×D79semidirect
919. #388C2×D79semidirect
929. #387C2×D79semidirect
930. #387C2×D79semidirect
931. #387C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237716932
#237716812
#237705982
#237704822
#237704562
#237704552
#237702402
#237700412
#237699602
#237699502
#237699112
#237698412
#237697992
#237697752
#237697302
#237696562
#237696232
#237695712
#237695272
#237689472
#237687272
#237685052
#237685022
#237675992
#237675892
#237675622
#237675042
#237661952
#237661592
#237657822
C79×#27402
#3673579