Finite Group Databasebeta

← #34496649

Subgroups — #34496649

Order 20224.

2078 conjugacy classes of subgroups.

The subgroup lattice has 1622 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23771695C211yesmaximal, characteristic, complemented
2#23771679C211yesmaximal, characteristic, complemented
3#23771054C211yesmaximal, characteristic, complemented
4#23771044C211yesmaximal, characteristic, complemented
5#23770883C211yesmaximal, characteristic, complemented
6#23770794C211yesmaximal, characteristic, complemented
7#23770675C211yesmaximal, characteristic, complemented
8#23770628C211yesmaximal, characteristic, complemented
9#23770607C211yesmaximal, characteristic, complemented
10#23770533C211yesmaximal, characteristic, complemented
11#23770477C211yesmaximal, characteristic, complemented
12#23770164C211yesmaximal, characteristic, complemented
13#23770101C211yesmaximal, characteristic, complemented
14#23770088C211yesmaximal, characteristic, complemented
15#23770016C211yesmaximal, characteristic, complemented
16#23770006C211yesmaximal, characteristic, complemented
17#23769834C211yesmaximal, characteristic, complemented
18#23769635C211yesmaximal, characteristic, complemented
19#23769182C211yesmaximal, characteristic, complemented
20#23769146C211yesmaximal, characteristic, complemented
21#23768330C211yesmaximal, characteristic, complemented
22#23768289C211yesmaximal, characteristic, complemented
23#23767123C211yesmaximal, characteristic, complemented
24#23766938C211yesmaximal, characteristic, complemented
25#23766877C211yesmaximal, characteristic, complemented
26#23766856C211yesmaximal, characteristic, complemented
27#23766837C211yesmaximal, characteristic, complemented
28#23766098C211yesmaximal, characteristic, complemented
29#23766026C211yesmaximal, characteristic, complemented
30C2×#19098437C211yesmaximal, characteristic, complemented
31C79×#2425C211yesmaximal, characteristic, complemented
32C23×C4×D79C2211yescharacteristic
33C2×#14579151C2211yescharacteristic, complemented
34C2×#14579146C2211yescharacteristic
35C2×#14579146C2211yescharacteristic
36C2×#14579144C2211yescharacteristic
37C2×#14579144C2211yescharacteristic
38C2×#14579134C2211yescharacteristic
39C2×#14579133C2211yescharacteristic
40C2×#14579133C2211yescharacteristic
41C2×#14579133C2211yescharacteristic, complemented
42C2×#14579132C2211yescharacteristic
43C2×#14579132C2211yescharacteristic
44C2×#14579131C2211yescharacteristic
45C2×#14579129C2211yescharacteristic
46C2×#14579129C2211yescharacteristic
47C2×D4×Dic79C2211yescharacteristic
48C2×C4×C22⋊D79C2211yescharacteristic
49C22×C4⋊Dic79C2211yescharacteristic
50C22×Dic79⋊C4C2211yescharacteristic
51C22×(C2×D79)⋊C4C2211yescharacteristic
52C22×(C2×D79)⋊C4C2211yescharacteristic
53#19098504C2211yescharacteristic, complemented
54#19098504C2211yescharacteristic, complemented
55#19098503C2211yescharacteristic, complemented
56#19098502C2211yescharacteristic, complemented
57#19098502C2211yescharacteristic, complemented
58#19098499C2211yescharacteristic, complemented
59#19098499C2211yescharacteristic, complemented
60#19098498C2211yescharacteristic
61#19098498C2211yescharacteristic
62#19098498C2211yescharacteristic
63#19098497C2211yescharacteristic, complemented
64#19098496C2211yescharacteristic, complemented
65#19098496C2211yescharacteristic, complemented
66#19098496C2211yescharacteristic, complemented
67#19098494C2211yescharacteristic, complemented
68#19098493C2211yescharacteristic, complemented
69#19098493C2211yescharacteristic, complemented
70#19098492C2211yescharacteristic, complemented
71#19098490C2211yescharacteristic, complemented
72#19098489C2211yescharacteristic
73#19098488C2211yescharacteristic, complemented
74#19098488C2211yescharacteristic, complemented
75#19098487C2211yescharacteristic
76#19098486C2211yescharacteristic, complemented
77#19098486C2211yescharacteristic, complemented
78#19098486C2211yescharacteristic, complemented
79#19098485C2211yescharacteristic
80#19098485C2211yescharacteristic
81#19098485C2211yescharacteristic, complemented
82#19098485C2211yescharacteristic, complemented
83#19098485C2211yescharacteristic, complemented
84#19098481C2211yescharacteristic
85#19098479C2211yescharacteristic, complemented
86#19098479C2211yescharacteristic, complemented
87#19098478C2211yescharacteristic
88#19098478C2211yescharacteristic
89#19098478C2211yescharacteristic
90#19098478C2211yescharacteristic
91#19098478C2211yescharacteristic
92#19098478C2211yescharacteristic, complemented
93#19098477C2211yescharacteristic, complemented
94#19098472C2211yescharacteristic
95#19098472C2211yescharacteristic
96#19098472C2211yescharacteristic
97#19098464C2211yescharacteristic
98#19098464C2211yescharacteristic
99#19098463C2211yescharacteristic
100#19098463C2211yescharacteristic
101#19098463C2211yescharacteristic
102#19098463C2211yescharacteristic, complemented
103#19098460C2211yescharacteristic, complemented
104#19098458C2211yescharacteristic, complemented
105#19098458C2211yescharacteristic, complemented
106#19098457C2211yescharacteristic, complemented
107#19098454C2211yescharacteristic
108#19098454C2211yescharacteristic
109#19098454C2211yescharacteristic, complemented
110#19098453C2211yescharacteristic
111#19098453C2211yescharacteristic
112#19098452C2211yescharacteristic
113#19098451C2211yescharacteristic, complemented
114#19098451C2211yescharacteristic, complemented
115#19098448C2211yescharacteristic, complemented
116#19098447C2211yescharacteristic, complemented
117#19098446C2211yescharacteristic, complemented
118#19098446C2211yescharacteristic, complemented
119#19098445C2211yescharacteristic, complemented
120#19098444C2211yescharacteristic, complemented
121#19098443C2211yescharacteristic
122#19098443C2211yescharacteristic
123#19098443C2211yescharacteristic
124#19098442C2211yescharacteristic
125#19098442C2211yescharacteristic
126#19098442C2211yescharacteristic, complemented
127#19098441C2211yescharacteristic
128#19098441C2211yescharacteristic
129#19098441C2211yescharacteristic
130#19098440C2211yescharacteristic
131#19098440C2211yescharacteristic
132#19098440C2211yescharacteristic
133#19098439C2211yescharacteristic
134#19098439C2211yescharacteristic
135#19098439C2211yescharacteristic
136#19098439C2211yescharacteristic
137#19098439C2211yescharacteristic, complemented
138#19098437C2211yescharacteristic
139#19098437C2211yescharacteristic
140#19098437C2211yescharacteristic
141#19098437C2211yescharacteristic
142#19098437C2211yescharacteristic
143#19098437C2211yescharacteristic
144#19098437C2211yescharacteristic
145#19098437C2211yescharacteristic
146#19098437C2211yescharacteristic, complemented
147#19098436C2211yescharacteristic
148#19098436C2211yescharacteristic, complemented
149#19098435C2211yescharacteristic
150#19098435C2211yescharacteristic
151#19098434C2211yescharacteristic
152#19098434C2211yescharacteristic
153#19098434C2211yescharacteristic, complemented
154#19098430C2211yescharacteristic, complemented
155#19098427C2211yescharacteristic, complemented
156#19098427C2211yescharacteristic, complemented
157#19098426C2211yescharacteristic
158#19098425C2211yescharacteristic
159#19098425C2211yescharacteristic
160#19098425C2211yescharacteristic, complemented
161#19098424C2211yescharacteristic, complemented
162#19098423C2211yescharacteristic
163#19098421C2211yescharacteristic
164#19098421C2211yescharacteristic
165#19098421C2211yescharacteristic, complemented
166#19098421C2211yescharacteristic, complemented
167#19098420C2211yescharacteristic
168#19098420C2211yescharacteristic
169#19098418C2211yescharacteristic
170C22⋊C4×Dic79C2211yescharacteristic
171C2×C79⋊#95C2211yescharacteristic
172C2×#123×C79C2211yescharacteristic
173C2×#123×C79C2211yescharacteristic
174C2×#121×C79C2211yescharacteristic
175C2×C4×D4×C79C2211yescharacteristic
176#398×C79C2211yescharacteristic, complemented
177#397×C79C2211yescharacteristic, complemented
178#396×C79C2211yescharacteristic, complemented
179#394×C79C2211yescharacteristic, complemented
180#389×C79C2211yescharacteristic, complemented
181#388×C79C2211yescharacteristic, complemented
182#386×C79C2211yescharacteristic
183#386×C79C2211yescharacteristic, complemented
184#385×C79C2211yescharacteristic
185#380×C79C2211yescharacteristic, complemented
186C2×#95×C79C2211yescharacteristic
187C24×D79C2311yescharacteristic
188C22×D316C2311yescharacteristic
189C22×D316C2311yescharacteristic
190C22×C22⋊D79C2311yescharacteristic
191C22×C22⋊D79C2311yescharacteristic
192C22×C22⋊D79C2311yescharacteristic
193C22×C22⋊D79C2311yescharacteristic
194C22×C22⋊D79C2311yescharacteristic
195C22×C22⋊D79C2311yescharacteristic
196C22×C22⋊D79C2311yescharacteristic
197C23×Dic79C2311yescharacteristic
198C23×Dic79C2311yescharacteristic
199C23×Dic79C2311yescharacteristic
200C23×Dic79C2311yescharacteristic
201C22×C4×D79—42no—
202C22×C4×D79—42no—
203C22×C4×D79—42no—
204C22×C4×D79C2311yescharacteristic
205C22×C4×D79C2311yescharacteristic
206C22×C4×D79C2311yescharacteristic
207C22×C4×D79C2311yescharacteristic
208C22×C4×D79C2311yescharacteristic
209#14579151—42no—
210#14579146—42no—
211#14579146—42no—
212#14579144—42no—
213#14579144—42no—
214#14579134—42no—
215#14579133—24no—
216#14579133—42no—
217#14579133—42no—
218#14579132—42no—
219#14579132—42no—
220#14579131—42no—
221#14579129—42no—
222#14579129—42no—
223D4×Dic79—24no—
224C4×C22⋊D79—42no—
225C2×C4⋊Dic79—42no—
226C2×C4⋊Dic79C2311yescharacteristic
227C2×C4⋊Dic79C2311yescharacteristic
228C2×C4⋊Dic79C2311yescharacteristic
229C2×C4⋊Dic79C2311yescharacteristic
230C2×C4⋊Dic79C2311yescharacteristic
231C2×C4⋊Dic79C2311yescharacteristic
232C2×C4⋊Dic79C2311yescharacteristic
233C2×Dic79⋊C4—42no—
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×Dic79⋊C4C2311yescharacteristic
250C2×Dic79⋊C4C2311yescharacteristic
251C2×Dic79⋊C4C2311yescharacteristic
252C2×Dic79⋊C4C2311yescharacteristic
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)⋊C4—24no—
266C2×(C2×D79)⋊C4—42no—
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×C4×Dic79C2311yescharacteristic
295C2×C4×Dic79C2311yescharacteristic
296C2×C4×Dic79C2311yescharacteristic
297C2×C4×Dic79C2311yescharacteristic
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
328C79⋊#95C2311yescharacteristic
329C79⋊#95C2311yescharacteristic
330C22×D4×C79C2311yescharacteristic
331C22×D4×C79C2311yescharacteristic
332C22×D4×C79C2311yescharacteristic
333C23×C4×C79C2311yescharacteristic
334C23×C4×C79C2311yescharacteristic
335C23×C4×C79C2311yescharacteristic
336C23×C4×C79C2311yescharacteristic
337#123×C79—42no—
338#123×C79—42no—
339#121×C79—42no—
340C4×D4×C79—42no—
341C2×C4⋊C4×C79C2311yescharacteristic
342C2×C4⋊C4×C79C2311yescharacteristic
343C2×C4⋊C4×C79C2311yescharacteristic
344C2×C4⋊C4×C79C2311yescharacteristic
345C2×C4⋊C4×C79C2311yescharacteristic
346C2×C4⋊C4×C79C2311yescharacteristic
347C2×C4⋊C4×C79C2311yescharacteristic
348C2×C4⋊C4×C79C2311yescharacteristic
349C2×C22⋊C4×C79C2311yescharacteristic
350C2×C22⋊C4×C79C2311yescharacteristic
351C2×C22⋊C4×C79C2311yescharacteristic
352C2×C22⋊C4×C79C2311yescharacteristic
353C2×C22⋊C4×C79C2311yescharacteristic
354C2×C22⋊C4×C79C2311yescharacteristic
355C2×C22⋊C4×C79C2311yescharacteristic
356C2×C22⋊C4×C79C2311yescharacteristic
357C2×C22⋊C4×C79C2311yescharacteristic
358C2×C22⋊C4×C79C2311yescharacteristic
359C2×C22⋊C4×C79C2311yescharacteristic
360C2×C42×C79C2311yescharacteristic
361#95×C79C2311yescharacteristic
362#95×C79C2311yescharacteristic
363#95×C79C2311yescharacteristic
364#95×C79C2311yescharacteristic
365#95×C79C2311yescharacteristic
366#95×C79C2311yescharacteristic
367#95×C79C2311yescharacteristic
368#95×C79C2311yescharacteristic
369C23×D79—22no—
370C23×D79—22no—
371C23×D79—22no—
372C23×D79—22no—
373C23×D79—22no—
374C23×D79—41no—
375C23×D79—41no—
376C23×D79C2411yescharacteristic
377C23×D79C2411yescharacteristic
378C23×D79C2411yescharacteristic
379C2×D316—22no—
380C2×D316—22no—
381C2×D316—41no—
382C2×D316—41no—
383C2×D316—41no—
384C2×D316—41no—
385C2×C22⋊D79—22no—
386C2×C22⋊D79—22no—
387C2×C22⋊D79—22no—
388C2×C22⋊D79—22no—
389C2×C22⋊D79—22no—
390C2×C22⋊D79—22no—
391C2×C22⋊D79—22no—
392C2×C22⋊D79—22no—
393C2×C22⋊D79—41no—
394C2×C22⋊D79—41no—
395C2×C22⋊D79—41no—
396C2×C22⋊D79—41no—
397C2×C22⋊D79—41no—
398C2×C22⋊D79—41no—
399C2×C22⋊D79—41no—
400C2×C22⋊D79—41no—
401C2×C22⋊D79—41no—
402C2×C22⋊D79—41no—
403C2×C22⋊D79—41no—
404C2×C22⋊D79—41no—
405C2×C22⋊D79—41no—
406C22×Dic79—22no—
407C22×Dic79—22no—
408C22×Dic79—22no—
409C22×Dic79—41no—
410C22×Dic79—41no—
411C22×Dic79—41no—
412C22×Dic79—41no—
413C22×Dic79—41no—
414C22×Dic79—41no—
415C22×Dic79—41no—
416C22×Dic79—41no—
417C22×Dic79#4114yes—
418C22×Dic79C2411yescharacteristic
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—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—41no—
446C2×C4×D79—416no—
447C4⋊Dic79—22no—
448C4⋊Dic79—22no—
449C4⋊Dic79—41no—
450C4⋊Dic79—41no—
451C4⋊Dic79—41no—
452C4⋊Dic79—41no—
453C4⋊Dic79—41no—
454Dic79⋊C4—22no—
455Dic79⋊C4—22no—
456Dic79⋊C4—22no—
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—
467Dic79⋊C4—41no—
468Dic79⋊C4—41no—
469Dic79⋊C4—41no—
470Dic79⋊C4—41no—
471Dic79⋊C4—41no—
472Dic79⋊C4—41no—
473C22⋊Dic79—22no—
474C22⋊Dic79—22no—
475C22⋊Dic79—22no—
476C22⋊Dic79—22no—
477C22⋊Dic79—22no—
478C22⋊Dic79—41no—
479C22⋊Dic79—41no—
480C22⋊Dic79—41no—
481C22⋊Dic79—41no—
482C22⋊Dic79—41no—
483C22⋊Dic79—41no—
484C22⋊Dic79—41no—
485(C2×D79)⋊C4—22no—
486(C2×D79)⋊C4—22no—
487(C2×D79)⋊C4—22no—
488(C2×D79)⋊C4—22no—
489(C2×D79)⋊C4—22no—
490(C2×D79)⋊C4—22no—
491(C2×D79)⋊C4—22no—
492(C2×D79)⋊C4—22no—
493(C2×D79)⋊C4—22no—
494(C2×D79)⋊C4—22no—
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—
512C4×Dic79—22no—
513C4×Dic79—41no—
514C4×Dic79—41no—
515C4×Dic79—41no—
516C24×C79C2411yescharacteristic
517C24×C79C2411yescharacteristic
518C24×C79C2411yescharacteristic
519C2×D4×C79—22no—
520C2×D4×C79—22no—
521C2×D4×C79—22no—
522C2×D4×C79—22no—
523C2×D4×C79—22no—
524C2×D4×C79—22no—
525C2×D4×C79—22no—
526C2×D4×C79—41no—
527C2×D4×C79—41no—
528C22×C4×C79—22no—
529C22×C4×C79—22no—
530C22×C4×C79—22no—
531C22×C4×C79—22no—
532C22×C4×C79—22no—
533C22×C4×C79—22no—
534C22×C4×C79—41no—
535C22×C4×C79—41no—
536C22×C4×C79—41no—
537C22×C4×C79—41no—
538C22×C4×C79—41no—
539C22×C4×C79—41no—
540C22×C4×C79C2411yescharacteristic
541C22×C4×C79C2411yescharacteristic
542C22×C4×C79C2411yescharacteristic
543C22×C4×C79C2411yescharacteristic
544C22×C4×C79C2411yescharacteristic
545C22×C4×C79C2411yescharacteristic
546C22×C4×C79C2411yescharacteristic
547C22×C4×C79C2411yescharacteristic
548C22×C4×C79C2411yescharacteristic
549C22×C4×C79C2411yescharacteristic
550C22×C4×C79C2411yescharacteristic
551C22×C4×C79C2411yescharacteristic
552C4⋊C4×C79—22no—
553C4⋊C4×C79—41no—
554C4⋊C4×C79—41no—
555C4⋊C4×C79—41no—
556C4⋊C4×C79—41no—
557C4⋊C4×C79—41no—
558C4⋊C4×C79—41no—
559C4⋊C4×C79—41no—
560C22⋊C4×C79—22no—
561C22⋊C4×C79—22no—
562C22⋊C4×C79—41no—
563C22⋊C4×C79—41no—
564C22⋊C4×C79—41no—
565C22⋊C4×C79—41no—
566C22⋊C4×C79—41no—
567C22⋊C4×C79—41no—
568C22⋊C4×C79—41no—
569C22⋊C4×C79—41no—
570C22⋊C4×C79—41no—
571C42×C79—41no—
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×C79—21no—
586C23×C79—21no—
587C23×C79—21no—
588C23×C79—21no—
589C23×C79—21no—
590C23×C79C2×#4112yes—
591C23×C79H(5,𝔽2)12yes—
592C23×C79H(5,𝔽2)12yes—
593C23×C79C2511yescharacteristic
594C22×D79—28no—
595C22×D79—21no—
596C22×D79—21no—
597C22×D79—21no—
598C22×D79—21no—
599C22×D79—21no—
600C22×D79—21no—
601C22×D79—21no—
602C22×D79—21no—
603C22×D79—21no—
604C22×D79—21no—
605C22×D79—21no—
606C22×D79—21no—
607C22×D79—21no—
608C22×D79—21no—
609C22×D79—21no—
610C22×D79—21no—
611C22×D79—21no—
612C22×D79—21no—
613C22×D79—21no—
614C22×D79—44no—
615C22×D79—44no—
616C22×D79—44no—
617C22×D79—44no—
618C22×D79—44no—
619C22×D79—44no—
620C22×D79H(5,𝔽2)12yes—
621C22×D792−1+412yes—
622D4×C79—44no—
623D4×C79—44no—
624D4×C79—82no—
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—21no—
650C2×C4×C79—21no—
651C2×C4×C79—21no—
652C2×C4×C79—21no—
653C2×C4×C79—21no—
654C2×C4×C79—21no—
655C2×C4×C79—21no—
656C2×C4×C79—21no—
657C2×C4×C79—21no—
658C2×C4×C79—21no—
659C2×C4×C79—21no—
660C2×C4×C79—44no—
661C2×C4×C79—44no—
662C2×C4×C79—82no—
663C2×C4×C79—82no—
664C2×C4×C79H(5,𝔽2)12yes—
665C22⋊D79—44no—
666C22⋊D79—82no—
667C22⋊D79—82no—
668C22⋊D79—82no—
669C22⋊D79—82no—
670C22⋊D79—82no—
671C22⋊D79—82no—
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—21no—
698C2×Dic79—21no—
699C2×Dic79—21no—
700C2×Dic79—21no—
701C2×Dic79—21no—
702C2×Dic79—21no—
703C2×Dic79—21no—
704C2×Dic79—21no—
705C2×Dic79—21no—
706C2×Dic79—21no—
707C2×Dic79—21no—
708C2×Dic79—21no—
709C2×Dic79—44no—
710C2×Dic79—44no—
711C2×Dic79—82no—
712C2×Dic79—82no—
713C2×Dic79C2×#4112yes—
714C2×Dic79C2×#4112yes—
715D316—82no—
716D316—82no—
717C4×D79—44no—
718C4×D79—44no—
719C4×D79—44no—
720C4×D79—44no—
721C4×D79—82no—
722C22×C79—22no—
723C22×C79—22no—
724C22×C79—22no—
725C22×C79—22no—
726C22×C79—22no—
727C22×C79—22no—
728C22×C79—41no—
729C22×C79—41no—
730C22×C79—41no—
731C22×C79—41no—
732C22×C79—41no—
733C22×C79—41no—
734C22×C79—41no—
735C22×C79—41no—
736C22×C79—41no—
737C22×C79—41no—
738C22×C79—41no—
739C22×C79—41no—
740C22×C79—41no—
741C22×C79—41no—
742C22×C79#54014yes—
743C22×C79C22×#4111yescharacteristic
744C22×C79C2×H(5,𝔽2)11yescharacteristic
745C22×C79C2×H(5,𝔽2)11yescharacteristic
746C22×C79C2×H(5,𝔽2)11yescharacteristic
747C22×C79C2×H(5,𝔽2)11yescharacteristic
748C22×C79C2×2−1+411yescharacteristic
749C22×C79#58511yescharacteristic
750C2×D79—22no—
751C2×D79—22no—
752C2×D79—22no—
753C2×D79—22no—
754C2×D79—22no—
755C2×D79—22no—
756C2×D79—416no—
757C2×D79—41no—
758C2×D79—41no—
759C2×D79—41no—
760C2×D79—41no—
761C2×D79—41no—
762C2×D79—41no—
763C2×D79—41no—
764C2×D79—41no—
765C2×D79—41no—
766C2×D79—41no—
767C2×D79—41no—
768C2×D79—41no—
769C2×D79—41no—
770C2×D79—41no—
771C2×D79—41no—
772C4×C79—22no—
773C4×C79—41no—
774C4×C79—41no—
775C4×C79—41no—
776C4×C79—41no—
777C4×C79—41no—
778C4×C79—41no—
779C4×C79—41no—
780C4×C79—41no—
781C4×C79—41no—
782C4×C79—41no—
783C4×C79—41no—
784Dic79—22no—
785Dic79—22no—
786Dic79—41no—
787Dic79—41no—
788Dic79—41no—
789Dic79—41no—
790Dic79—41no—
791Dic79—41no—
792Dic79—41no—
793Dic79—41no—
794Dic79—41no—
795Dic79—41no—
796Dic79—41no—
797#36777—791nomaximal, Sylow
798C2×C79—24no—
799C2×C79—81no—
800C2×C79—81no—
801C2×C79C2×#54011yescharacteristic
802C2×C79#349211yescharacteristic
803C2×C79#350511yescharacteristic
804C2×C79#353211yescharacteristic
805C2×C79#353411yescharacteristic
806C2×C79#353511yescharacteristic
807C2×C79#353611yescharacteristic
808D79—42no—
809D79—42no—
810D79—81no—
811#2849—791no—
812#2847—791no—
813#2780—791no—
814#2780—791no—
815#2768—791no—
816#2761—791no—
817#2753—791no—
818#2749—791no—
819#2748—791no—
820#2743—791no—
821#2738—791no—
822#2711—791no—
823#2707—791no—
824#2706—791no—
825#2701—791no—
826#2701—791no—
827#2688—791no—
828#2671—791no—
829#2623—791no—
830#2618—791no—
831#2539—791no—
832#2534—791no—
833#2442—791no—
834#2425D7911yescharacteristic, complemented
835#2424—791no—
836#2419—791no—
837#2418—791no—
838#2416—791no—
839#2325—791no—
840#2318—791no—
841C2×#385—791no—
842C79#3677711yescharacteristic, complemented, Sylow
843C24×C4—791no—
844C2×#125—791no—
845C2×#123—791no—
846C2×#123—791no—
847C2×#123—791no—
848C2×#123—791no—
849C2×#123C2×D7911yescharacteristic
850C2×#123C2×D7911yescharacteristic
851C2×#121—791no—
852C2×#121—791no—
853C2×#121—791no—
854C2×#121—791no—
855C2×#121—791no—
856C2×#121—791no—
857C2×#121C2×D7911yescharacteristic
858C2×#120—791no—
859C2×#120—791no—
860C2×#120—791no—
861C2×C4×D4—791no—
862C2×C4×D4—791no—
863C2×C4×D4C2×D7911yescharacteristic
864C22×C4⋊C4—791no—
865C22×C4⋊C4—791no—
866C22×C22⋊C4—791no—
867C22×C22⋊C4—791no—
868#400—791no—
869#400—791no—
870#400—791no—
871#400—791no—
872#400—791no—
873#399—791no—
874#399—791no—
875#399—791no—
876#399—791no—
877#399—791no—
878#398—791no—
879#398—791no—
880#398—791no—
881#398—791no—
882#398—791no—
883#398—791no—
884#398—791no—
885#398C2×D7911yescharacteristic, complemented
886#397—791no—
887#397—791no—
888#397—791no—
889#397—791no—
890#397—791no—
891#397C2×D7911yescharacteristic, complemented
892#396—791no—
893#396—791no—
894#396—791no—
895#396—791no—
896#396—791no—
897#396—791no—
898#396—791no—
899#396—791no—
900#396—791no—
901#396C2×D7911yescharacteristic, complemented
902#394—791no—
903#394—791no—
904#394—791no—
905#394—791no—
906#394—791no—
907#394—791no—
908#394—791no—
909#394—791no—
910#394—791no—
911#394—791no—
912#394C2×D7911yescharacteristic, complemented
913#392—791no—
914#392—791no—
915#392—791no—
916#390—791no—
917#390—791no—
918#390—791no—
919#390—791no—
920#390—791no—
921#390—791no—
922#389—791no—
923#389—791no—
924#389—791no—
925#389C2×D7911yescharacteristic, complemented
926#388—791no—
927#388—791no—
928#388—791no—
929#388—791no—
930#388—791no—
931#388—791no—
932#388—791no—
933#388—791no—
934#388—791no—
935#388C2×D7911yescharacteristic, complemented
936#387—791no—
937#387—791no—
938#387—791no—
939#387—791no—
940#387—791no—
941#387—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#386—791no—
952#386—791no—
953#386—791no—
954#386—791no—
955#386—791no—
956#386—791no—
957#386—791no—
958#386—791no—
959#386C2×D7911yescharacteristic
960#386C2×D7911yescharacteristic, complemented
961#385—791no—
962#385—791no—
963#385—791no—
964#385—791no—
965#385—791no—
966#385—791no—
967#385—791no—
968#385—791no—
969#385—791no—
970#385—791no—
971#385—791no—
972#385—791no—
973#385—791no—
974#385—791no—
975#385—791no—
976#385—791no—
977#385C2×D7911yescharacteristic
978#383—791no—
979#382—791no—
980#382—791no—
981#381—791no—
982#381—791no—
983#381—791no—
984#381—791no—
985#381—791no—
986#380—791no—
987#380—791no—
988#380—791no—
989#380—791no—
990#380—791no—
991#380—791no—
992#380—791no—
993#380C2×D7911yescharacteristic, complemented
994#379—791no—
995C4×C22⋊C4—791no—
996C2×#95—791no—
997C2×#95C2×D7911yescharacteristic
998C25—791no—
999C22×D4—791no—
1000C22×D4—791no—
1001C22×D4—791no—
1002C22×D4—791no—
1003C22×D4—791no—
1004C22×D4—791no—
1005C22×D4—791no—
1006C22×D4—791no—
1007C22×D4—791no—
1008C22×D4C22×D7911yescharacteristic
1009C22×D4C22×D7911yescharacteristic
1010C22×D4C22×D7911yescharacteristic
1011C23×C4—3162no—
1012C23×C4—3162no—
1013C23×C4—3162no—
1014C23×C4—791no—
1015C23×C4—791no—
1016C23×C4—791no—
1017C23×C4—791no—
1018C23×C4—791no—
1019C23×C4—791no—
1020C23×C4—791no—
1021C23×C4—791no—
1022C23×C4—791no—
1023C23×C4C22×D7911yescharacteristic
1024C23×C4C22×D7911yescharacteristic
1025C23×C4C22×D7911yescharacteristic
1026C23×C4C22×D7911yescharacteristic
1027#125—3162no—
1028#123—42no—
1029#123—42no—
1030#123—3162no—
1031#123—3162no—
1032#123—3162no—
1033#123—3162no—
1034#121—42no—
1035#121—3162no—
1036#121—3162no—
1037#121—3162no—
1038#121—3162no—
1039#121—3162no—
1040#121—1584no—
1041#120—3162no—
1042#120—3162no—
1043#120—3162no—
1044C4×D4—42no—
1045C4×D4—3162no—
1046C4×D4—1584no—
1047C2×C4⋊C4—3162no—
1048C2×C4⋊C4—3162no—
1049C2×C4⋊C4—791no—
1050C2×C4⋊C4—791no—
1051C2×C4⋊C4—791no—
1052C2×C4⋊C4—791no—
1053C2×C4⋊C4—791no—
1054C2×C4⋊C4—791no—
1055C2×C4⋊C4—791no—
1056C2×C4⋊C4—791no—
1057C2×C4⋊C4—791no—
1058C2×C4⋊C4—791no—
1059C2×C4⋊C4—791no—
1060C2×C4⋊C4—791no—
1061C2×C4⋊C4—791no—
1062C2×C4⋊C4—791no—
1063C2×C4⋊C4—791no—
1064C2×C4⋊C4—791no—
1065C2×C4⋊C4—791no—
1066C2×C4⋊C4—791no—
1067C2×C4⋊C4—791no—
1068C2×C4⋊C4—791no—
1069C2×C4⋊C4—791no—
1070C2×C4⋊C4—791no—
1071C2×C4⋊C4—791no—
1072C2×C4⋊C4—791no—
1073C2×C4⋊C4—791no—
1074C2×C4⋊C4—791no—
1075C2×C4⋊C4C22×D7911yescharacteristic
1076C2×C4⋊C4C22×D7911yescharacteristic
1077C2×C4⋊C4C22×D7911yescharacteristic
1078C2×C4⋊C4C22×D7911yescharacteristic
1079C2×C4⋊C4C22×D7911yescharacteristic
1080C2×C4⋊C4C22×D7911yescharacteristic
1081C2×C4⋊C4C22×D7911yescharacteristic
1082C2×C4⋊C4C22×D7911yescharacteristic
1083C2×C22⋊C4—3162no—
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⋊C4—791no—
1102C2×C22⋊C4—791no—
1103C2×C22⋊C4—791no—
1104C2×C22⋊C4—791no—
1105C2×C22⋊C4—791no—
1106C2×C22⋊C4—791no—
1107C2×C22⋊C4—791no—
1108C2×C22⋊C4—791no—
1109C2×C22⋊C4—791no—
1110C2×C22⋊C4—791no—
1111C2×C22⋊C4—791no—
1112C2×C22⋊C4—791no—
1113C2×C22⋊C4—791no—
1114C2×C22⋊C4—791no—
1115C2×C22⋊C4—791no—
1116C2×C22⋊C4—791no—
1117C2×C22⋊C4—791no—
1118C2×C22⋊C4—791no—
1119C2×C22⋊C4—791no—
1120C2×C22⋊C4—791no—
1121C2×C22⋊C4—791no—
1122C2×C22⋊C4—791no—
1123C2×C22⋊C4—1584no—
1124C2×C22⋊C4C22×D7911yescharacteristic
1125C2×C22⋊C4C22×D7911yescharacteristic
1126C2×C22⋊C4C22×D7911yescharacteristic
1127C2×C22⋊C4C22×D7911yescharacteristic
1128C2×C22⋊C4C22×D7911yescharacteristic
1129C2×C22⋊C4C22×D7911yescharacteristic
1130C2×C22⋊C4C22×D7911yescharacteristic
1131C2×C22⋊C4C22×D7911yescharacteristic
1132C2×C22⋊C4C22×D7911yescharacteristic
1133C2×C22⋊C4C22×D7911yescharacteristic
1134C2×C22⋊C4C22×D7911yescharacteristic
1135C2×C42—791no—
1136C2×C42—791no—
1137C2×C42—791no—
1138C2×C42—791no—
1139C2×C42C22×D7911yescharacteristic
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#95—791no—
1149#95—791no—
1150#95—791no—
1151#95—791no—
1152#95—791no—
1153#95—791no—
1154#95—791no—
1155#95—791no—
1156#95—791no—
1157#95—791no—
1158#95—791no—
1159#95—791no—
1160#95—791no—
1161#95—791no—
1162#95—791no—
1163#95—791no—
1164#95—791no—
1165#95—791no—
1166#95—791no—
1167#95—791no—
1168#95—791no—
1169#95—791no—
1170#95—791no—
1171#95—791no—
1172#95C22×D7911yescharacteristic
1173#95C22×D7911yescharacteristic
1174#95C22×D7911yescharacteristic
1175#95C22×D7911yescharacteristic
1176#95C22×D7911yescharacteristic
1177#95C22×D7911yescharacteristic
1178#95C22×D7911yescharacteristic
1179#95C22×D7911yescharacteristic
1180C24—3161no—
1181C24—3161no—
1182C24—791no—
1183C24—791no—
1184C24—791no—
1185C24—1582no—
1186C24—1582no—
1187C24—1582no—
1188C24—1582no—
1189C24—1582no—
1190C24C23×D7911yescharacteristic
1191C24C23×D7911yescharacteristic
1192C24C23×D7911yescharacteristic
1193C2×D4—22no—
1194C2×D4—22no—
1195C2×D4—22no—
1196C2×D4—22no—
1197C2×D4—22no—
1198C2×D4—22no—
1199C2×D4—22no—
1200C2×D4—41no—
1201C2×D4—41no—
1202C2×D4—3161no—
1203C2×D4—3161no—
1204C2×D4—3161no—
1205C2×D4—3161no—
1206C2×D4—3161no—
1207C2×D4—3161no—
1208C2×D4—3161no—
1209C2×D4—3161no—
1210C2×D4—3161no—
1211C2×D4—3161no—
1212C2×D4—3161no—
1213C2×D4—3161no—
1214C2×D4—3161no—
1215C2×D4—3161no—
1216C2×D4—3161no—
1217C2×D4—3161no—
1218C2×D4—3161no—
1219C2×D4—1582no—
1220C2×D4—1582no—
1221C2×D4—1582no—
1222C2×D4—1582no—
1223C2×D4—1582no—
1224C2×D4—1582no—
1225C2×D4—1582no—
1226C2×D4—1582no—
1227C2×D4—1582no—
1228C2×D4—1582no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—41no—
1236C22×C4—41no—
1237C22×C4—41no—
1238C22×C4—41no—
1239C22×C4—41no—
1240C22×C4—41no—
1241C22×C4—3161no—
1242C22×C4—3161no—
1243C22×C4—3161no—
1244C22×C4—3161no—
1245C22×C4—3161no—
1246C22×C4—3161no—
1247C22×C4—3161no—
1248C22×C4—3161no—
1249C22×C4—3161no—
1250C22×C4—3161no—
1251C22×C4—3161no—
1252C22×C4—31616no—
1253C22×C4—3161no—
1254C22×C4—3161no—
1255C22×C4—3161no—
1256C22×C4—3161no—
1257C22×C4—3161no—
1258C22×C4—3161no—
1259C22×C4—3161no—
1260C22×C4—3161no—
1261C22×C4—794no—
1262C22×C4—791no—
1263C22×C4—791no—
1264C22×C4—791no—
1265C22×C4—791no—
1266C22×C4—791no—
1267C22×C4—791no—
1268C22×C4—791no—
1269C22×C4—791no—
1270C22×C4—791no—
1271C22×C4—791no—
1272C22×C4—791no—
1273C22×C4—791no—
1274C22×C4—791no—
1275C22×C4—1582no—
1276C22×C4—1582no—
1277C22×C4—1582no—
1278C22×C4—1582no—
1279C22×C4—1582no—
1280C22×C4—1582no—
1281C22×C4—1582no—
1282C22×C4C23×D7911yescharacteristic
1283C22×C4C23×D7911yescharacteristic
1284C22×C4C23×D7911yescharacteristic
1285C22×C4C23×D7911yescharacteristic
1286C22×C4C23×D7911yescharacteristic
1287C22×C4C23×D7911yescharacteristic
1288C22×C4C23×D7911yescharacteristic
1289C22×C4C23×D7911yescharacteristic
1290C22×C4C23×D7911yescharacteristic
1291C22×C4C23×D7911yescharacteristic
1292C22×C4C23×D7911yescharacteristic
1293C22×C4C23×D7911yescharacteristic
1294C4⋊C4—22no—
1295C4⋊C4—41no—
1296C4⋊C4—41no—
1297C4⋊C4—41no—
1298C4⋊C4—41no—
1299C4⋊C4—41no—
1300C4⋊C4—41no—
1301C4⋊C4—41no—
1302C4⋊C4—3161no—
1303C4⋊C4—3161no—
1304C4⋊C4—3161no—
1305C4⋊C4—3161no—
1306C4⋊C4—3161no—
1307C4⋊C4—3161no—
1308C4⋊C4—3161no—
1309C4⋊C4—3161no—
1310C4⋊C4—3161no—
1311C4⋊C4—3161no—
1312C4⋊C4—3161no—
1313C4⋊C4—3161no—
1314C4⋊C4—3161no—
1315C4⋊C4—3161no—
1316C4⋊C4—3161no—
1317C4⋊C4—3161no—
1318C4⋊C4—3161no—
1319C4⋊C4—3161no—
1320C4⋊C4—3161no—
1321C4⋊C4—3161no—
1322C4⋊C4—3161no—
1323C4⋊C4—1582no—
1324C4⋊C4—1582no—
1325C4⋊C4—1582no—
1326C4⋊C4—1582no—
1327C4⋊C4—1582no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—3161no—
1340C22⋊C4—3161no—
1341C22⋊C4—3161no—
1342C22⋊C4—3161no—
1343C22⋊C4—3161no—
1344C22⋊C4—3161no—
1345C22⋊C4—3161no—
1346C22⋊C4—3161no—
1347C22⋊C4—3161no—
1348C22⋊C4—3161no—
1349C22⋊C4—3161no—
1350C22⋊C4—3161no—
1351C22⋊C4—3161no—
1352C22⋊C4—3161no—
1353C22⋊C4—3161no—
1354C22⋊C4—3161no—
1355C22⋊C4—3161no—
1356C22⋊C4—3161no—
1357C22⋊C4—3161no—
1358C22⋊C4—3161no—
1359C22⋊C4—3161no—
1360C22⋊C4—3161no—
1361C22⋊C4—3161no—
1362C22⋊C4—3161no—
1363C22⋊C4—1582no—
1364C22⋊C4—1582no—
1365C22⋊C4—1582no—
1366C22⋊C4—1582no—
1367C22⋊C4—1582no—
1368C22⋊C4—1582no—
1369C22⋊C4—1582no—
1370C22⋊C4—1582no—
1371C22⋊C4—1582no—
1372C22⋊C4—1582no—
1373C22⋊C4—1582no—
1374C22⋊C4—1582no—
1375C22⋊C4—1582no—
1376C22⋊C4—1582no—
1377C22⋊C4—1582no—
1378C42—41no—
1379C42—3161no—
1380C42—3161no—
1381C42—3161no—
1382C42—1582no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—3164no—
1402C23—3164no—
1403C23—3164no—
1404C23—3164no—
1405C23—3164no—
1406C23—3164no—
1407C23—792no—
1408C23—792no—
1409C23—1588no—
1410C23—1581no—
1411C23—1581no—
1412C23—1581no—
1413C23—1581no—
1414C23—1581no—
1415C23—1581no—
1416C23—1581no—
1417C23—1581no—
1418C23—1581no—
1419C23—1581no—
1420C23—1581no—
1421C23—1581no—
1422C23—1581no—
1423C23—1581no—
1424C23—1581no—
1425C23—1581no—
1426C23—1581no—
1427C23—1581no—
1428C23—1581no—
1429C23#41×D7912yes—
1430C23#1457920612yes—
1431C23#1457920612yes—
1432C23C24×D7911yescharacteristic
1433D4—44no—
1434D4—44no—
1435D4—82no—
1436D4—3164no—
1437D4—6322no—
1438D4—6322no—
1439D4—6322no—
1440D4—6322no—
1441D4—6322no—
1442D4—6322no—
1443D4—6322no—
1444D4—6322no—
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—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—44no—
1481C2×C4—44no—
1482C2×C4—82no—
1483C2×C4—82no—
1484C2×C4—3164no—
1485C2×C4—3164no—
1486C2×C4—3164no—
1487C2×C4—3164no—
1488C2×C4—3164no—
1489C2×C4—3164no—
1490C2×C4—792no—
1491C2×C4—792no—
1492C2×C4—6322no—
1493C2×C4—6322no—
1494C2×C4—6322no—
1495C2×C4—1581no—
1496C2×C4—1581no—
1497C2×C4—1581no—
1498C2×C4—1581no—
1499C2×C4—1581no—
1500C2×C4—1581no—
1501C2×C4—1581no—
1502C2×C4—1581no—
1503C2×C4—1581no—
1504C2×C4—1581no—
1505C2×C4—1581no—
1506C2×C4—1581no—
1507C2×C4—1581no—
1508C2×C4—1581no—
1509C2×C4—1581no—
1510C2×C4—1581no—
1511C2×C4—1581no—
1512C2×C4—1581no—
1513C2×C4—1581no—
1514C2×C4—1581no—
1515C2×C4—1581no—
1516C2×C4—1581no—
1517C2×C4—1581no—
1518C2×C4—1581no—
1519C2×C4—1581no—
1520C2×C4—1581no—
1521C2×C4—1581no—
1522C2×C4—1581no—
1523C2×C4—1581no—
1524C2×C4—1581no—
1525C2×C4—1581no—
1526C2×C4—1581no—
1527C2×C4—1581no—
1528C2×C4—1581no—
1529C2×C4—1581no—
1530C2×C4—1581no—
1531C2×C4—1581no—
1532C2×C4#1457920712yes—
1533C22—22no—
1534C22—22no—
1535C22—22no—
1536C22—22no—
1537C22—22no—
1538C22—22no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—31616no—
1554C22—3161no—
1555C22—3161no—
1556C22—3161no—
1557C22—3161no—
1558C22—3161no—
1559C22—3161no—
1560C22—3161no—
1561C22—3161no—
1562C22—3161no—
1563C22—3161no—
1564C22—3161no—
1565C22—3161no—
1566C22—3161no—
1567C22—3161no—
1568C22—3161no—
1569C22—1582no—
1570C22—1582no—
1571C22—1582no—
1572C22—1582no—
1573C22—1582no—
1574C22—1582no—
1575C22#1909916314yes—
1576C22C2×#41×D7911yescharacteristic
1577C22H(5,𝔽2)×D7911yescharacteristic
1578C22C2×#1457920611yescharacteristic
1579C22C2×#1457920611yescharacteristic
1580C22C2×#1457920711yescharacteristic
1581C222−1+4×D7911yescharacteristic
1582C22#1909939911yescharacteristic
1583C4—22no—
1584C4—41no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—3161no—
1596C4—3161no—
1597C4—3161no—
1598C4—3161no—
1599C4—3161no—
1600C4—3161no—
1601C4—3161no—
1602C4—3161no—
1603C4—3161no—
1604C4—3161no—
1605C4—3161no—
1606C4—1582no—
1607C4—1582no—
1608C2—24no—
1609C2—81no—
1610C2—81no—
1611C2—3162no—
1612C2—3162no—
1613C2—6321no—
1614C2C2×#1909916311yescharacteristic
1615C2#2377710511yescharacteristic
1616C2#2377723511yescharacteristic
1617C2#2377754911yescharacteristic
1618C2#2377758511yescharacteristic
1619C2#2377760111yescharacteristic
1620C2#2377762311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2425C2
hypercenter#2425D79
hypocenterC79#36777
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2425

Complements

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

NH ≅ G/Ntype
1. #23771695C2semidirect
2. #23771679C2semidirect
3. #23771054C2semidirect
4. #23771044C2semidirect
5. #23770883C2semidirect
6. #23770794C2semidirect
7. #23770675C2semidirect
8. #23770628C2semidirect
9. #23770607C2semidirect
10. #23770533C2semidirect
11. #23770477C2semidirect
12. #23770164C2semidirect
13. #23770101C2semidirect
14. #23770088C2semidirect
15. #23770016C2semidirect
16. #23770006C2semidirect
17. #23769834C2semidirect
18. #23769635C2semidirect
19. #23769182C2semidirect
20. #23769146C2semidirect
21. #23768330C2semidirect
22. #23768289C2semidirect
23. #23767123C2semidirect
24. #23766938C2semidirect
25. #23766877C2semidirect
26. #23766856C2semidirect
27. #23766837C2semidirect
28. #23766098C2semidirect
29. #23766026C2semidirect
30. C2×#19098437C2semidirect
31. C79×#2425C2semidirect
33. C2×#14579151C22semidirect
41. C2×#14579133C22semidirect
53. #19098504C22semidirect
54. #19098504C22semidirect
55. #19098503C22semidirect
56. #19098502C22semidirect
57. #19098502C22semidirect
58. #19098499C22semidirect
59. #19098499C22semidirect
63. #19098497C22semidirect
64. #19098496C22semidirect
65. #19098496C22semidirect
66. #19098496C22semidirect
67. #19098494C22semidirect
68. #19098493C22semidirect
69. #19098493C22semidirect
70. #19098492C22semidirect
71. #19098490C22semidirect
73. #19098488C22semidirect
74. #19098488C22semidirect
76. #19098486C22semidirect
77. #19098486C22semidirect
78. #19098486C22semidirect
81. #19098485C22semidirect
82. #19098485C22semidirect
83. #19098485C22semidirect
85. #19098479C22semidirect
86. #19098479C22semidirect
92. #19098478C22semidirect
93. #19098477C22semidirect
102. #19098463C22semidirect
103. #19098460C22semidirect
104. #19098458C22semidirect
105. #19098458C22semidirect
106. #19098457C22semidirect
109. #19098454C22semidirect
113. #19098451C22semidirect
114. #19098451C22semidirect
115. #19098448C22semidirect
116. #19098447C22semidirect
117. #19098446C22semidirect
118. #19098446C22semidirect
119. #19098445C22semidirect
120. #19098444C22semidirect
126. #19098442C22semidirect
137. #19098439C22semidirect
146. #19098437C22semidirect
148. #19098436C22semidirect
153. #19098434C22semidirect
154. #19098430C22semidirect
155. #19098427C22semidirect
156. #19098427C22semidirect
160. #19098425C22semidirect
161. #19098424C22semidirect
165. #19098421C22semidirect
166. #19098421C22semidirect
176. #398×C79C22semidirect
177. #397×C79C22semidirect
178. #396×C79C22semidirect
179. #394×C79C22semidirect
180. #389×C79C22semidirect
181. #388×C79C22semidirect
183. #386×C79C22semidirect
185. #380×C79C22semidirect
834. #2425D79semidirect
842. C79#36777semidirect
885. #398C2×D79semidirect
891. #397C2×D79semidirect
901. #396C2×D79semidirect
912. #394C2×D79semidirect
925. #389C2×D79semidirect
935. #388C2×D79semidirect
960. #386C2×D79semidirect
993. #380C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237716952
#237716792
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C2×#190984372
C79×#24252
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