Finite Group Databasebeta

← #34496151

Subgroups — #34496151

Order 20224.

2210 conjugacy classes of subgroups.

The subgroup lattice has 1686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23771684C211yesmaximal, characteristic, complemented
2#23771683C211yesmaximal, characteristic, complemented
3#23771263C211yesmaximal, characteristic, complemented
4#23771062C211yesmaximal, characteristic, complemented
5#23771027C211yesmaximal, characteristic, complemented
6#23771016C211yesmaximal, characteristic, complemented
7#23771013C211yesmaximal, characteristic, complemented
8#23770728C211yesmaximal, characteristic, complemented
9#23770672C211yesmaximal, characteristic, complemented
10#23770616C211yesmaximal, characteristic, complemented
11#23770515C211yesmaximal, characteristic, complemented
12#23770395C211yesmaximal, characteristic, complemented
13#23770192C211yesmaximal, characteristic, complemented
14#23770047C211yesmaximal, characteristic, complemented
15#23769955C211yesmaximal, characteristic, complemented
16#23769843C211yesmaximal, characteristic, complemented
17#23769697C211yesmaximal, characteristic, complemented
18#23769113C211yesmaximal, characteristic, complemented
19#23769113C211yesmaximal, characteristic, complemented
20#23767786C211yesmaximal, characteristic, complemented
21#23767733C211yesmaximal, characteristic, complemented
22#23767642C211yesmaximal, characteristic, complemented
23#23767529C211yesmaximal, characteristic, complemented
24#23766958C211yesmaximal, characteristic, complemented
25#23766931C211yesmaximal, characteristic, complemented
26#23766878C211yesmaximal, characteristic, complemented
27#23766867C211yesmaximal, characteristic, complemented
28#23766062C211yesmaximal, characteristic, complemented
29#23766053C211yesmaximal, characteristic, complemented
30#386×D79C211yesmaximal, characteristic, complemented
31C79×#2702C211yesmaximal, characteristic, complemented
32C22×D4×D79C2211yescharacteristic
33C23×C4×D79C2211yescharacteristic
34C2×#14579150C2211yescharacteristic, complemented
35C2×#14579146C2211yescharacteristic
36C2×#14579146C2211yescharacteristic
37C2×#14579143C2211yescharacteristic, complemented
38C2×#14579137C2211yescharacteristic
39C2×#14579137C2211yescharacteristic, complemented
40C2×#14579136C2211yescharacteristic
41C2×#14579136C2211yescharacteristic, complemented
42C2×#14579136C2211yescharacteristic, complemented
43C2×#14579135C2211yescharacteristic, complemented
44C2×#14579131C2211yescharacteristic
45C2×#14579131C2211yescharacteristic
46C2×#14579131C2211yescharacteristic
47C2×#14579131C2211yescharacteristic
48C2×C4×D316C2211yescharacteristic
49C2×#14579123C2211yescharacteristic
50C2×C22⋊C4×D79C2211yescharacteristic
51C2×C22⋊C4×D79C2211yescharacteristic
52C2×C22⋊C4×D79C2211yescharacteristic
53C79⋊#401C2211yescharacteristic, complemented
54#19098505C2211yescharacteristic, complemented
55#19098505C2211yescharacteristic, complemented
56#19098504C2211yescharacteristic, complemented
57#19098501C2211yescharacteristic, complemented
58#19098501C2211yescharacteristic, complemented
59#19098500C2211yescharacteristic, complemented
60#19098496C2211yescharacteristic, complemented
61#19098492C2211yescharacteristic, complemented
62#19098492C2211yescharacteristic, complemented
63#19098491C2211yescharacteristic, complemented
64#19098491C2211yescharacteristic, complemented
65#19098490C2211yescharacteristic, complemented
66#19098489C2211yescharacteristic, complemented
67#19098489C2211yescharacteristic, complemented
68#19098489C2211yescharacteristic, complemented
69#19098488C2211yescharacteristic, complemented
70#19098485C2211yescharacteristic, complemented
71#19098485C2211yescharacteristic, complemented
72#19098481C2211yescharacteristic, complemented
73#19098481C2211yescharacteristic, complemented
74#19098480C2211yescharacteristic
75#19098480C2211yescharacteristic
76#19098480C2211yescharacteristic, complemented
77#19098480C2211yescharacteristic, complemented
78#19098480C2211yescharacteristic, complemented
79#19098479C2211yescharacteristic, complemented
80#19098479C2211yescharacteristic, complemented
81#19098478C2211yescharacteristic
82#19098478C2211yescharacteristic
83#19098478C2211yescharacteristic
84#19098478C2211yescharacteristic
85#19098474C2211yescharacteristic, complemented
86#19098473C2211yescharacteristic
87#19098473C2211yescharacteristic
88#19098472C2211yescharacteristic
89#19098472C2211yescharacteristic
90#19098472C2211yescharacteristic
91#19098472C2211yescharacteristic
92#19098472C2211yescharacteristic, complemented
93#19098471C2211yescharacteristic
94#19098471C2211yescharacteristic
95#19098465C2211yescharacteristic, complemented
96#19098464C2211yescharacteristic, complemented
97#19098463C2211yescharacteristic, complemented
98#19098463C2211yescharacteristic, complemented
99#19098463C2211yescharacteristic, complemented
100#19098463C2211yescharacteristic, complemented
101#19098457C2211yescharacteristic, complemented
102#19098456C2211yescharacteristic, complemented
103#19098456C2211yescharacteristic, complemented
104#19098456C2211yescharacteristic, complemented
105#19098455C2211yescharacteristic, complemented
106#19098455C2211yescharacteristic, complemented
107#19098455C2211yescharacteristic, complemented
108#19098454C2211yescharacteristic, complemented
109#19098454C2211yescharacteristic, complemented
110#19098454C2211yescharacteristic, complemented
111#19098454C2211yescharacteristic, complemented
112#19098454C2211yescharacteristic, complemented
113#19098453C2211yescharacteristic, complemented
114#19098453C2211yescharacteristic, complemented
115#19098453C2211yescharacteristic, complemented
116#19098452C2211yescharacteristic, complemented
117#19098449C2211yescharacteristic, complemented
118#19098449C2211yescharacteristic, complemented
119#19098448C2211yescharacteristic, complemented
120#19098448C2211yescharacteristic, complemented
121#19098444C2211yescharacteristic, complemented
122#19098443C2211yescharacteristic
123#19098442C2211yescharacteristic
124#19098441C2211yescharacteristic
125#19098441C2211yescharacteristic
126#19098441C2211yescharacteristic
127#19098441C2211yescharacteristic
128#19098441C2211yescharacteristic
129#19098441C2211yescharacteristic
130#19098441C2211yescharacteristic, complemented
131#19098441C2211yescharacteristic, complemented
132#19098441C2211yescharacteristic, complemented
133#19098441C2211yescharacteristic, complemented
134#19098441C2211yescharacteristic, complemented
135#19098441C2211yescharacteristic, complemented
136#19098440C2211yescharacteristic
137#19098440C2211yescharacteristic, complemented
138#19098440C2211yescharacteristic, complemented
139#19098439C2211yescharacteristic
140#19098439C2211yescharacteristic
141#19098439C2211yescharacteristic, complemented
142#19098439C2211yescharacteristic, complemented
143#19098439C2211yescharacteristic, complemented
144#19098437C2211yescharacteristic
145#19098435C2211yescharacteristic, complemented
146#19098435C2211yescharacteristic, complemented
147#19098434C2211yescharacteristic
148#19098434C2211yescharacteristic
149#19098434C2211yescharacteristic
150#19098434C2211yescharacteristic, complemented
151#19098434C2211yescharacteristic, complemented
152#19098434C2211yescharacteristic, complemented
153#19098430C2211yescharacteristic, complemented
154#19098427C2211yescharacteristic, complemented
155#19098425C2211yescharacteristic
156#19098425C2211yescharacteristic
157#19098425C2211yescharacteristic, complemented
158#19098423C2211yescharacteristic, complemented
159#19098422C2211yescharacteristic, complemented
160#19098420C2211yescharacteristic
161#19098420C2211yescharacteristic
162#19098420C2211yescharacteristic, complemented
163#19098420C2211yescharacteristic, complemented
164#19098418C2211yescharacteristic
165#19098418C2211yescharacteristic
166#19098418C2211yescharacteristic
167#19098418C2211yescharacteristic
168C4×(C2×D79)⋊C4C2211yescharacteristic
169#19098410C2211yescharacteristic
170#95×D79C2211yescharacteristic
171#95×D79C2211yescharacteristic
172C2×#126×C79C2211yescharacteristic, complemented
173C2×C22⋊Q8×C79C2211yescharacteristic, complemented
174#400×C79C2211yescharacteristic, complemented
175#398×C79C2211yescharacteristic, complemented
176#396×C79C2211yescharacteristic, complemented
177#394×C79C2211yescharacteristic
178#394×C79C2211yescharacteristic
179#393×C79C2211yescharacteristic, complemented
180#391×C79C2211yescharacteristic, complemented
181#389×C79C2211yescharacteristic, complemented
182#388×C79C2211yescharacteristic, complemented
183#388×C79C2211yescharacteristic, complemented
184#388×C79C2211yescharacteristic, complemented
185#386×C79C2211yescharacteristic
186#380×C79C2211yescharacteristic, complemented
187C24×D79C2311yescharacteristic
188C24×D79C2311yescharacteristic
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
200C22×C22⋊D79C2311yescharacteristic
201C22×C22⋊D79C2311yescharacteristic
202C22×C22⋊D79C2311yescharacteristic
203C2×D4×D79—24no—
204C2×D4×D79—42no—
205C2×D4×D79—42no—
206C23×Dic79C2311yescharacteristic
207C22×C4×D79—42no—
208C22×C4×D79—42no—
209C22×C4×D79—42no—
210C22×C4×D79C2311yescharacteristic
211C22×C4×D79C2311yescharacteristic
212C22×C4×D79C2311yescharacteristic
213C22×C4×D79C2311yescharacteristic
214C22×C4×D79C2311yescharacteristic
215C22×C4×D79C2311yescharacteristic
216C22×C4×D79C2311yescharacteristic
217C22×C4×D79C2311yescharacteristic
218C22×C4×D79C2311yescharacteristic
219#14579150—42no—
220#14579146—42no—
221#14579146—42no—
222#14579143—42no—
223#14579137—42no—
224#14579137—42no—
225#14579136—42no—
226#14579136—42no—
227#14579136—42no—
228#14579135—42no—
229#14579131—24no—
230#14579131—24no—
231#14579131—42no—
232#14579131—42no—
233C4×D316—42no—
234#14579123—42no—
235C2×C4⋊Dic79C2311yescharacteristic
236C2×C4⋊Dic79C2311yescharacteristic
237C2×C4⋊Dic79C2311yescharacteristic
238C2×C4⋊Dic79C2311yescharacteristic
239C2×C4⋊Dic79C2311yescharacteristic
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×C22⋊Dic79C2311yescharacteristic
249C2×C22⋊Dic79C2311yescharacteristic
250C2×C22⋊Dic79C2311yescharacteristic
251C2×C22⋊Dic79C2311yescharacteristic
252C2×C22⋊Dic79C2311yescharacteristic
253C2×C22⋊Dic79C2311yescharacteristic
254C2×C22⋊Dic79C2311yescharacteristic
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
295C22⋊C4×D79—42no—
296C22⋊C4×D79—42no—
297C22⋊C4×D79—42no—
298C2×C4×Dic79C2311yescharacteristic
299C2×C4×Dic79C2311yescharacteristic
300C2×C4×Dic79C2311yescharacteristic
301C2×C4×Dic79C2311yescharacteristic
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
330C79⋊#95C2311yescharacteristic
331C79⋊#95C2311yescharacteristic
332C22×Q8×C79C2311yescharacteristic
333C22×D4×C79C2311yescharacteristic
334C23×C4×C79C2311yescharacteristic
335#126×C79—42no—
336C22⋊Q8×C79—42no—
337C2×C4⋊C4×C79C2311yescharacteristic
338C2×C4⋊C4×C79C2311yescharacteristic
339C2×C4⋊C4×C79C2311yescharacteristic
340C2×C4⋊C4×C79C2311yescharacteristic
341C2×C4⋊C4×C79C2311yescharacteristic
342C2×C4⋊C4×C79C2311yescharacteristic
343C2×C4⋊C4×C79C2311yescharacteristic
344C2×C4⋊C4×C79C2311yescharacteristic
345C2×C4⋊C4×C79C2311yescharacteristic
346C2×C22⋊C4×C79C2311yescharacteristic
347C2×C22⋊C4×C79C2311yescharacteristic
348C2×C22⋊C4×C79C2311yescharacteristic
349C2×C22⋊C4×C79C2311yescharacteristic
350C2×C22⋊C4×C79C2311yescharacteristic
351C2×C22⋊C4×C79C2311yescharacteristic
352C2×C22⋊C4×C79C2311yescharacteristic
353C2×C22⋊C4×C79C2311yescharacteristic
354C2×C22⋊C4×C79C2311yescharacteristic
355C2×C22⋊C4×C79C2311yescharacteristic
356C2×C22⋊C4×C79C2311yescharacteristic
357C2×C42×C79C2311yescharacteristic
358C2×C42×C79C2311yescharacteristic
359#95×C79C2311yescharacteristic
360#95×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×D79—41no—
377C23×D79—41no—
378C23×D79—41no—
379C23×D79—41no—
380C23×D79—41no—
381C23×D79—41no—
382C23×D79#4114yes—
383C23×D79C2411yescharacteristic
384C23×D79C2411yescharacteristic
385C23×D79C2411yescharacteristic
386C23×D79C2411yescharacteristic
387C23×D79C2411yescharacteristic
388C2×D316—22no—
389C2×D316—22no—
390C2×D316—22no—
391C2×D316—22no—
392C2×D316—22no—
393C2×D316—22no—
394C2×D316—22no—
395C2×D316—22no—
396C2×D316—22no—
397C2×D316—22no—
398C2×D316—41no—
399C2×D316—41no—
400C2×D316—41no—
401C2×D316—41no—
402C2×D316—41no—
403C2×D316—41no—
404C2×D316—41no—
405C2×D316—41no—
406C2×D316—41no—
407C2×D316—41no—
408C2×D316—41no—
409C2×D316—41no—
410C2×D316—41no—
411C2×D316—41no—
412C2×C22⋊D79—22no—
413C2×C22⋊D79—22no—
414C2×C22⋊D79—22no—
415C2×C22⋊D79—22no—
416C2×C22⋊D79—41no—
417C2×C22⋊D79—41no—
418C2×C22⋊D79—41no—
419C2×C22⋊D79—41no—
420C2×C22⋊D79—41no—
421C2×C22⋊D79—41no—
422C2×C22⋊D79—41no—
423C2×C22⋊D79—41no—
424C2×C22⋊D79—41no—
425C2×C22⋊D79—41no—
426C2×C22⋊D79—41no—
427C2×C22⋊D79—41no—
428C2×C22⋊D79—41no—
429C2×C22⋊D79—41no—
430D4×D79—416no—
431C22×Dic79—41no—
432C22×Dic79—41no—
433C22×Dic79—41no—
434C22×Dic79C2411yescharacteristic
435C22×Dic79C2411yescharacteristic
436C22×Dic79C2411yescharacteristic
437C22×Dic79C2411yescharacteristic
438C22×Dic79C2411yescharacteristic
439C22×Dic79C2411yescharacteristic
440C22×Dic79C2411yescharacteristic
441C22×Dic79C2411yescharacteristic
442C22×Dic79C2411yescharacteristic
443C22×Dic79C2411yescharacteristic
444C22×Dic79C2411yescharacteristic
445C2×C4×D79—22no—
446C2×C4×D79—22no—
447C2×C4×D79—22no—
448C2×C4×D79—22no—
449C2×C4×D79—22no—
450C2×C4×D79—22no—
451C2×C4×D79—22no—
452C2×C4×D79—22no—
453C2×C4×D79—22no—
454C2×C4×D79—22no—
455C2×C4×D79—22no—
456C2×C4×D79—41no—
457C2×C4×D79—41no—
458C2×C4×D79—41no—
459C2×C4×D79—41no—
460C2×C4×D79—41no—
461C2×C4×D79—41no—
462C2×C4×D79—41no—
463C2×C4×D79—41no—
464C2×C4×D79—41no—
465C2×C4×D79—41no—
466C2×C4×D79—41no—
467C2×C4×D79—41no—
468C2×C4×D79—41no—
469C2×C4×D79—41no—
470C2×C4×D79—41no—
471C2×C4×D79—41no—
472C2×C4×D79—416no—
473C4⋊Dic79—22no—
474C4⋊Dic79—41no—
475C4⋊Dic79—41no—
476C4⋊Dic79—41no—
477C4⋊Dic79—41no—
478Dic79⋊C4—41no—
479Dic79⋊C4—41no—
480Dic79⋊C4—41no—
481Dic79⋊C4—41no—
482Dic79⋊C4—41no—
483Dic79⋊C4—41no—
484Dic79⋊C4—41no—
485Dic79⋊C4—41no—
486C22⋊Dic79—41no—
487C22⋊Dic79—41no—
488C22⋊Dic79—41no—
489C22⋊Dic79—41no—
490C22⋊Dic79—41no—
491C22⋊Dic79—41no—
492C22⋊Dic79—41no—
493(C2×D79)⋊C4—22no—
494(C2×D79)⋊C4—22no—
495(C2×D79)⋊C4—22no—
496(C2×D79)⋊C4—22no—
497(C2×D79)⋊C4—22no—
498(C2×D79)⋊C4—22no—
499(C2×D79)⋊C4—22no—
500(C2×D79)⋊C4—22no—
501(C2×D79)⋊C4—22no—
502(C2×D79)⋊C4—22no—
503(C2×D79)⋊C4—22no—
504(C2×D79)⋊C4—22no—
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—
515(C2×D79)⋊C4—41no—
516(C2×D79)⋊C4—41no—
517(C2×D79)⋊C4—41no—
518(C2×D79)⋊C4—41no—
519(C2×D79)⋊C4—41no—
520(C2×D79)⋊C4—41no—
521(C2×D79)⋊C4—41no—
522(C2×D79)⋊C4—41no—
523(C2×D79)⋊C4—41no—
524(C2×D79)⋊C4—41no—
525(C2×D79)⋊C4—41no—
526(C2×D79)⋊C4—41no—
527(C2×D79)⋊C4—41no—
528(C2×D79)⋊C4—41no—
529(C2×D79)⋊C4—41no—
530(C2×D79)⋊C4—41no—
531(C2×D79)⋊C4—41no—
532(C2×D79)⋊C4—41no—
533C4×Dic79—41no—
534C4×Dic79—41no—
535C4×Dic79—41no—
536C4×Dic79—41no—
537C24×C79C2411yescharacteristic
538C24×C79C2411yescharacteristic
539C2×Q8×C79—22no—
540C2×Q8×C79—41no—
541C2×Q8×C79—41no—
542C2×D4×C79—22no—
543C2×D4×C79—41no—
544C2×D4×C79—41no—
545C22×C4×C79—22no—
546C22×C4×C79—22no—
547C22×C4×C79—41no—
548C22×C4×C79C2411yescharacteristic
549C22×C4×C79C2411yescharacteristic
550C22×C4×C79C2411yescharacteristic
551C22×C4×C79C2411yescharacteristic
552C22×C4×C79C2411yescharacteristic
553C22×C4×C79C2411yescharacteristic
554C22×C4×C79C2411yescharacteristic
555C22×C4×C79C2411yescharacteristic
556C22×C4×C79C2411yescharacteristic
557C22×C4×C79C2411yescharacteristic
558C22×C4×C79C2411yescharacteristic
559C22×C4×C79C2411yescharacteristic
560C22×C4×C79C2411yescharacteristic
561C4⋊C4×C79—22no—
562C4⋊C4×C79—22no—
563C4⋊C4×C79—22no—
564C4⋊C4×C79—41no—
565C4⋊C4×C79—41no—
566C4⋊C4×C79—41no—
567C4⋊C4×C79—41no—
568C4⋊C4×C79—41no—
569C4⋊C4×C79—41no—
570C22⋊C4×C79—22no—
571C22⋊C4×C79—22no—
572C22⋊C4×C79—22no—
573C22⋊C4×C79—22no—
574C22⋊C4×C79—41no—
575C22⋊C4×C79—41no—
576C22⋊C4×C79—41no—
577C22⋊C4×C79—41no—
578C22⋊C4×C79—41no—
579C22⋊C4×C79—41no—
580C22⋊C4×C79—41no—
581C42×C79—41no—
582C42×C79—41no—
583C23×C79—21no—
584C23×C79—21no—
585C23×C79—21no—
586C23×C79—21no—
587C23×C79—21no—
588C23×C79—21no—
589C23×C79—21no—
590C23×C79—21no—
591C23×C79—21no—
592C23×C79—21no—
593C23×C79—21no—
594C23×C79—21no—
595C23×C79—21no—
596C23×C79C2×#4112yes—
597C23×C79C2511yescharacteristic
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—28no—
609C22×D79—21no—
610C22×D79—21no—
611C22×D79—21no—
612C22×D79—21no—
613C22×D79—21no—
614C22×D79—21no—
615C22×D79—21no—
616C22×D79—21no—
617C22×D79—21no—
618C22×D79—21no—
619C22×D79—21no—
620C22×D79—21no—
621C22×D79—21no—
622C22×D79—21no—
623C22×D79—21no—
624C22×D79—21no—
625C22×D79—21no—
626C22×D79—21no—
627C22×D79—21no—
628C22×D79—21no—
629C22×D79—21no—
630C22×D79—44no—
631C22×D79—44no—
632C22×D79—44no—
633C22×D79—44no—
634C22×D79—44no—
635C22×D79—44no—
636C22×D79—44no—
637C22×D79—44no—
638C22×D79—44no—
639C22×D79—82no—
640C22×D79—82no—
641C22×D79—82no—
642C22×D79—82no—
643C22×D79C2×#4112yes—
644C22×D79C2×#4112yes—
645C22×D79H(5,𝔽2)12yes—
646C22×D79H(5,𝔽2)12yes—
647Q8×C79—82no—
648D4×C79—44no—
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—21no—
661C2×C4×C79—21no—
662C2×C4×C79—21no—
663C2×C4×C79—21no—
664C2×C4×C79—21no—
665C2×C4×C79—21no—
666C2×C4×C79—21no—
667C2×C4×C79—21no—
668C2×C4×C79—21no—
669C2×C4×C79—21no—
670C2×C4×C79—21no—
671C2×C4×C79—21no—
672C2×C4×C79—21no—
673C2×C4×C79—21no—
674C2×C4×C79—21no—
675C2×C4×C79—21no—
676C2×C4×C79—21no—
677C2×C4×C79—21no—
678C2×C4×C79—21no—
679C2×C4×C79—21no—
680C2×C4×C79—21no—
681C2×C4×C79—21no—
682C2×C4×C79—21no—
683C2×C4×C79—21no—
684C2×C4×C79—21no—
685C2×C4×C79—21no—
686C2×C4×C79—44no—
687C2×C4×C79H(5,𝔽2)12yes—
688C2×C4×C79H(5,𝔽2)12yes—
689C22⋊D79—44no—
690C22⋊D79—44no—
691C22⋊D79—82no—
692C22⋊D79—82no—
693C22⋊D79—82no—
694C22⋊D79—82no—
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—21no—
710C2×Dic79—21no—
711C2×Dic79—21no—
712C2×Dic79—21no—
713C2×Dic79—21no—
714C2×Dic79—21no—
715C2×Dic79—21no—
716C2×Dic79—21no—
717C2×Dic79—21no—
718C2×Dic79—21no—
719C2×Dic79—21no—
720C2×Dic79—21no—
721C2×Dic79—21no—
722C2×Dic79—21no—
723C2×Dic79—21no—
724C2×Dic79—21no—
725C2×Dic79—21no—
726C2×Dic79—21no—
727C2×Dic79—21no—
728C2×Dic79—44no—
729D316—44no—
730D316—44no—
731D316—44no—
732D316—82no—
733D316—82no—
734D316—82no—
735D316—82no—
736D316—82no—
737C4×D79—44no—
738C4×D79—44no—
739C4×D79—44no—
740C4×D79—44no—
741C4×D79—44no—
742C4×D79—82no—
743C4×D79—82no—
744C4×D79—82no—
745C4×D79—82no—
746C22×C79—22no—
747C22×C79—22no—
748C22×C79—22no—
749C22×C79—41no—
750C22×C79—41no—
751C22×C79—41no—
752C22×C79—41no—
753C22×C79—41no—
754C22×C79—41no—
755C22×C79—41no—
756C22×C79—41no—
757C22×C79—41no—
758C22×C79—41no—
759C22×C79—41no—
760C22×C79C22×#4111yescharacteristic
761C22×C79C2×H(5,𝔽2)11yescharacteristic
762C22×C79C2×H(5,𝔽2)11yescharacteristic
763C22×C79C2×H(5,𝔽2)11yescharacteristic
764C22×C79C2×H(5,𝔽2)11yescharacteristic
765C22×C79#58511yescharacteristic
766C22×C79#58511yescharacteristic
767C2×D79—22no—
768C2×D79—22no—
769C2×D79—22no—
770C2×D79—22no—
771C2×D79—22no—
772C2×D79—22no—
773C2×D79—22no—
774C2×D79—22no—
775C2×D79—22no—
776C2×D79—416no—
777C2×D79—41no—
778C2×D79—41no—
779C2×D79—41no—
780C2×D79—41no—
781C2×D79—41no—
782C2×D79—41no—
783C2×D79—41no—
784C2×D79—41no—
785C2×D79—41no—
786C2×D79—41no—
787C2×D79—41no—
788C2×D79—41no—
789C2×D79—41no—
790C2×D79—41no—
791C2×D79—41no—
792C2×D79—41no—
793C2×D79—41no—
794C2×D79—41no—
795C2×D79—41no—
796C2×D79—41no—
797C2×D79—41no—
798C2×D79—41no—
799C2×D79—41no—
800C2×D79—41no—
801C2×D79—41no—
802C2×D79—88no—
803C2×D79#53814yes—
804C4×C79—22no—
805C4×C79—22no—
806C4×C79—41no—
807C4×C79—41no—
808C4×C79—41no—
809C4×C79—41no—
810C4×C79—41no—
811C4×C79—41no—
812C4×C79—41no—
813C4×C79—41no—
814C4×C79—41no—
815C4×C79—41no—
816C4×C79—41no—
817Dic79—41no—
818Dic79—41no—
819Dic79—41no—
820Dic79—41no—
821Dic79—41no—
822Dic79—41no—
823Dic79—41no—
824Dic79—41no—
825Dic79—41no—
826Dic79—41no—
827Dic79—41no—
828#36758—791nomaximal, Sylow
829C2×C79—42no—
830C2×C79—81no—
831C2×C79C2×#53811yescharacteristic
832C2×C79#350511yescharacteristic
833C2×C79#350511yescharacteristic
834C2×C79#353211yescharacteristic
835C2×C79#353311yescharacteristic
836C2×C79#354211yescharacteristic
837C2×C79#354211yescharacteristic
838D79—24no—
839D79—42no—
840D79—81no—
841D79—81no—
842D79—81no—
843#2848—791no—
844#2847—791no—
845#2797—791no—
846#2781—791no—
847#2779—791no—
848#2778—791no—
849#2778—791no—
850#2756—791no—
851#2753—791no—
852#2749—791no—
853#2741—791no—
854#2730—791no—
855#2714—791no—
856#2703—791no—
857#2702D7911yescharacteristic, complemented
858#2696—791no—
859#2688—791no—
860#2676—791no—
861#2613—791no—
862#2613—791no—
863#2493—791no—
864#2488—791no—
865#2480—791no—
866#2472—791no—
867#2425—791no—
868#2424—791no—
869#2419—791no—
870#2418—791no—
871#2321—791no—
872#2321—791no—
873C2×#386—791no—
874C79#3675811yescharacteristic, complemented, Sylow
875C23×D4—791no—
876C24×C4—791no—
877C2×#126C2×D7911yescharacteristic, complemented
878C2×#124—791no—
879C2×#123—791no—
880C2×#123—791no—
881C2×#123—791no—
882C2×C22⋊Q8—791no—
883C2×C22⋊Q8—791no—
884C2×C22⋊Q8C2×D7911yescharacteristic, complemented
885C2×#121—791no—
886C2×#121—791no—
887C2×#121—791no—
888C2×#121—791no—
889C2×#120—791no—
890C2×#120—791no—
891C2×#120—791no—
892C2×#120—791no—
893C2×C4×D4—791no—
894C2×C4×D4—791no—
895C22×C22⋊C4—791no—
896C22×C22⋊C4—791no—
897C22×C22⋊C4—791no—
898#401—791no—
899#400—791no—
900#400—791no—
901#400—791no—
902#400—791no—
903#400—791no—
904#400C2×D7911yescharacteristic, complemented
905#399—791no—
906#398—791no—
907#398C2×D7911yescharacteristic, complemented
908#397—791no—
909#397—791no—
910#397—791no—
911#397—791no—
912#397—791no—
913#397—791no—
914#397—791no—
915#397—791no—
916#397—791no—
917#396—791no—
918#396—791no—
919#396C2×D7911yescharacteristic, complemented
920#394—791no—
921#394—791no—
922#394—791no—
923#394—791no—
924#394—791no—
925#394—791no—
926#394—791no—
927#394—791no—
928#394—791no—
929#394—791no—
930#394—791no—
931#394—791no—
932#394—791no—
933#394C2×D7911yescharacteristic
934#394C2×D7911yescharacteristic
935#393—791no—
936#393C2×D7911yescharacteristic, complemented
937#392—791no—
938#392—791no—
939#392—791no—
940#392—791no—
941#392—791no—
942#392—791no—
943#392—791no—
944#392—791no—
945#392—791no—
946#391C2×D7911yescharacteristic, complemented
947#390—791no—
948#390—791no—
949#390—791no—
950#390—791no—
951#390—791no—
952#390—791no—
953#389C2×D7911yescharacteristic, complemented
954#388—791no—
955#388—791no—
956#388—791no—
957#388—791no—
958#388—791no—
959#388—791no—
960#388—791no—
961#388—791no—
962#388—791no—
963#388—791no—
964#388—791no—
965#388—791no—
966#388—791no—
967#388—791no—
968#388—791no—
969#388—791no—
970#388C2×D7911yescharacteristic, complemented
971#388C2×D7911yescharacteristic, complemented
972#388C2×D7911yescharacteristic, complemented
973#387—791no—
974#387—791no—
975#387—791no—
976#387—791no—
977#387—791no—
978#386—791no—
979#386—791no—
980#386—791no—
981#386—791no—
982#386—791no—
983#386—791no—
984#386—791no—
985#386—791no—
986#386—791no—
987#386—791no—
988#386—791no—
989#386—791no—
990#386—791no—
991#386—791no—
992#386—791no—
993#386—791no—
994#386—791no—
995#386—791no—
996#386—791no—
997#386—791no—
998#386—791no—
999#386—791no—
1000#386C2×D7911yescharacteristic
1001#385—791no—
1002#385—791no—
1003#385—791no—
1004#385—791no—
1005#385—791no—
1006#385—791no—
1007#385—791no—
1008#385—791no—
1009#385—791no—
1010#383—791no—
1011#382—791no—
1012#381—791no—
1013#381—791no—
1014#381—791no—
1015#380—791no—
1016#380—791no—
1017#380—791no—
1018#380—791no—
1019#380—791no—
1020#380—791no—
1021#380C2×D7911yescharacteristic, complemented
1022#379—791no—
1023#379—791no—
1024#379—791no—
1025#379—791no—
1026C4×C22⋊C4—791no—
1027C4×C22⋊C4—791no—
1028C2×#95—791no—
1029C2×#95—791no—
1030C25—791no—
1031C25—791no—
1032C22×Q8C22×D7911yescharacteristic
1033C22×D4—3162no—
1034C22×D4—3162no—
1035C22×D4—791no—
1036C22×D4—791no—
1037C22×D4—791no—
1038C22×D4—791no—
1039C22×D4—791no—
1040C22×D4—791no—
1041C22×D4—791no—
1042C22×D4—791no—
1043C22×D4—791no—
1044C22×D4—791no—
1045C22×D4—791no—
1046C22×D4—791no—
1047C22×D4—791no—
1048C22×D4—791no—
1049C22×D4—1584no—
1050C22×D4C22×D7911yescharacteristic
1051C23×C4—3162no—
1052C23×C4—3162no—
1053C23×C4—3162no—
1054C23×C4—791no—
1055C23×C4—791no—
1056C23×C4—791no—
1057C23×C4—791no—
1058C23×C4—791no—
1059C23×C4—791no—
1060C23×C4—791no—
1061C23×C4—791no—
1062C23×C4—791no—
1063C23×C4—791no—
1064C23×C4C22×D7911yescharacteristic
1065#126—42no—
1066#124—3162no—
1067#123—3162no—
1068#123—3162no—
1069#123—3162no—
1070C22⋊Q8—42no—
1071C22⋊Q8—3162no—
1072C22⋊Q8—3162no—
1073#121—3162no—
1074#121—3162no—
1075#121—3162no—
1076#121—3162no—
1077#120—3162no—
1078#120—3162no—
1079#120—1584no—
1080#120—1584no—
1081C4×D4—3162no—
1082C4×D4—3162no—
1083C2×C4⋊C4—791no—
1084C2×C4⋊C4—791no—
1085C2×C4⋊C4—791no—
1086C2×C4⋊C4—791no—
1087C2×C4⋊C4—791no—
1088C2×C4⋊C4—791no—
1089C2×C4⋊C4—791no—
1090C2×C4⋊C4—791no—
1091C2×C4⋊C4—791no—
1092C2×C4⋊C4—791no—
1093C2×C4⋊C4—791no—
1094C2×C4⋊C4—791no—
1095C2×C4⋊C4—791no—
1096C2×C4⋊C4C22×D7911yescharacteristic
1097C2×C4⋊C4C22×D7911yescharacteristic
1098C2×C4⋊C4C22×D7911yescharacteristic
1099C2×C4⋊C4C22×D7911yescharacteristic
1100C2×C4⋊C4C22×D7911yescharacteristic
1101C2×C4⋊C4C22×D7911yescharacteristic
1102C2×C4⋊C4C22×D7911yescharacteristic
1103C2×C4⋊C4C22×D7911yescharacteristic
1104C2×C4⋊C4C22×D7911yescharacteristic
1105C2×C22⋊C4—3162no—
1106C2×C22⋊C4—3162no—
1107C2×C22⋊C4—3162no—
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—791no—
1124C2×C22⋊C4—791no—
1125C2×C22⋊C4—791no—
1126C2×C22⋊C4—791no—
1127C2×C22⋊C4—791no—
1128C2×C22⋊C4—791no—
1129C2×C22⋊C4—791no—
1130C2×C22⋊C4—791no—
1131C2×C22⋊C4—791no—
1132C2×C22⋊C4—791no—
1133C2×C22⋊C4—791no—
1134C2×C22⋊C4—791no—
1135C2×C22⋊C4—791no—
1136C2×C22⋊C4—791no—
1137C2×C22⋊C4—791no—
1138C2×C22⋊C4—791no—
1139C2×C22⋊C4—791no—
1140C2×C22⋊C4—791no—
1141C2×C22⋊C4—791no—
1142C2×C22⋊C4—791no—
1143C2×C22⋊C4—791no—
1144C2×C22⋊C4—791no—
1145C2×C22⋊C4—791no—
1146C2×C22⋊C4—791no—
1147C2×C22⋊C4—791no—
1148C2×C22⋊C4—791no—
1149C2×C22⋊C4—791no—
1150C2×C22⋊C4—791no—
1151C2×C22⋊C4—791no—
1152C2×C22⋊C4—791no—
1153C2×C22⋊C4—791no—
1154C2×C22⋊C4—791no—
1155C2×C22⋊C4C22×D7911yescharacteristic
1156C2×C22⋊C4C22×D7911yescharacteristic
1157C2×C22⋊C4C22×D7911yescharacteristic
1158C2×C22⋊C4C22×D7911yescharacteristic
1159C2×C22⋊C4C22×D7911yescharacteristic
1160C2×C22⋊C4C22×D7911yescharacteristic
1161C2×C22⋊C4C22×D7911yescharacteristic
1162C2×C22⋊C4C22×D7911yescharacteristic
1163C2×C22⋊C4C22×D7911yescharacteristic
1164C2×C22⋊C4C22×D7911yescharacteristic
1165C2×C22⋊C4C22×D7911yescharacteristic
1166C2×C42—791no—
1167C2×C42—791no—
1168C2×C42—791no—
1169C2×C42—791no—
1170C2×C42C22×D7911yescharacteristic
1171C2×C42C22×D7911yescharacteristic
1172#95—791no—
1173#95—791no—
1174#95—791no—
1175#95—791no—
1176#95—791no—
1177#95—791no—
1178#95—791no—
1179#95—791no—
1180#95—791no—
1181#95—791no—
1182#95—791no—
1183#95—791no—
1184#95—791no—
1185#95—791no—
1186#95—791no—
1187#95—791no—
1188#95—791no—
1189#95—791no—
1190#95—791no—
1191#95—791no—
1192#95—791no—
1193#95—791no—
1194#95—791no—
1195#95—791no—
1196#95—791no—
1197#95—791no—
1198#95—791no—
1199#95—791no—
1200#95—791no—
1201#95—791no—
1202#95C22×D7911yescharacteristic
1203#95C22×D7911yescharacteristic
1204#95C22×D7911yescharacteristic
1205#95C22×D7911yescharacteristic
1206#95C22×D7911yescharacteristic
1207#95C22×D7911yescharacteristic
1208#95C22×D7911yescharacteristic
1209#95C22×D7911yescharacteristic
1210#95C22×D7911yescharacteristic
1211#95C22×D7911yescharacteristic
1212C24—3161no—
1213C24—3161no—
1214C24—3161no—
1215C24—3161no—
1216C24—3161no—
1217C24—3161no—
1218C24—3161no—
1219C24—3161no—
1220C24—794no—
1221C24—791no—
1222C24—791no—
1223C24—791no—
1224C24—791no—
1225C24—791no—
1226C24—1582no—
1227C24—1582no—
1228C24—1582no—
1229C24—1582no—
1230C24—1582no—
1231C24C23×D7911yescharacteristic
1232C24C23×D7911yescharacteristic
1233C2×Q8—22no—
1234C2×Q8—41no—
1235C2×Q8—41no—
1236C2×D4—22no—
1237C2×D4—41no—
1238C2×D4—41no—
1239C2×D4—3161no—
1240C2×D4—3161no—
1241C2×D4—3161no—
1242C2×D4—3161no—
1243C2×D4—3161no—
1244C2×D4—3161no—
1245C2×D4—3161no—
1246C2×D4—3161no—
1247C2×D4—3161no—
1248C2×D4—3161no—
1249C2×D4—3161no—
1250C2×D4—3161no—
1251C2×D4—3161no—
1252C2×D4—3161no—
1253C2×D4—31616no—
1254C2×D4—3161no—
1255C2×D4—3161no—
1256C2×D4—3161no—
1257C2×D4—3161no—
1258C2×D4—3161no—
1259C2×D4—3161no—
1260C2×D4—3161no—
1261C2×D4—3161no—
1262C2×D4—3161no—
1263C2×D4—3161no—
1264C2×D4—3161no—
1265C2×D4—3161no—
1266C2×D4—3161no—
1267C2×D4—3161no—
1268C2×D4—1582no—
1269C2×D4—1582no—
1270C2×D4—1582no—
1271C2×D4—1582no—
1272C2×D4—1582no—
1273C2×D4—1582no—
1274C2×D4—1582no—
1275C2×D4—1582no—
1276C2×D4—1582no—
1277C2×D4—1582no—
1278C2×D4—1582no—
1279C2×D4—1582no—
1280C2×D4—1582no—
1281C2×D4—1582no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—41no—
1285C22×C4—3161no—
1286C22×C4—3161no—
1287C22×C4—3161no—
1288C22×C4—3161no—
1289C22×C4—3161no—
1290C22×C4—3161no—
1291C22×C4—3161no—
1292C22×C4—3161no—
1293C22×C4—3161no—
1294C22×C4—3161no—
1295C22×C4—3161no—
1296C22×C4—3161no—
1297C22×C4—3161no—
1298C22×C4—3161no—
1299C22×C4—3161no—
1300C22×C4—3161no—
1301C22×C4—31616no—
1302C22×C4—3161no—
1303C22×C4—3161no—
1304C22×C4—3161no—
1305C22×C4—791no—
1306C22×C4—791no—
1307C22×C4—791no—
1308C22×C4—791no—
1309C22×C4—791no—
1310C22×C4—791no—
1311C22×C4—791no—
1312C22×C4—791no—
1313C22×C4—791no—
1314C22×C4—791no—
1315C22×C4—791no—
1316C22×C4—1582no—
1317C22×C4—1582no—
1318C22×C4—1582no—
1319C22×C4—1582no—
1320C22×C4—1582no—
1321C22×C4—1582no—
1322C22×C4—1582no—
1323C22×C4—1582no—
1324C22×C4—1582no—
1325C22×C4—1582no—
1326C22×C4—1582no—
1327C22×C4C23×D7911yescharacteristic
1328C22×C4C23×D7911yescharacteristic
1329C22×C4C23×D7911yescharacteristic
1330C22×C4C23×D7911yescharacteristic
1331C22×C4C23×D7911yescharacteristic
1332C22×C4C23×D7911yescharacteristic
1333C22×C4C23×D7911yescharacteristic
1334C22×C4C23×D7911yescharacteristic
1335C22×C4C23×D7911yescharacteristic
1336C22×C4C23×D7911yescharacteristic
1337C22×C4C23×D7911yescharacteristic
1338C22×C4C23×D7911yescharacteristic
1339C22×C4C23×D7911yescharacteristic
1340C4⋊C4—22no—
1341C4⋊C4—22no—
1342C4⋊C4—22no—
1343C4⋊C4—41no—
1344C4⋊C4—41no—
1345C4⋊C4—41no—
1346C4⋊C4—41no—
1347C4⋊C4—41no—
1348C4⋊C4—41no—
1349C4⋊C4—3161no—
1350C4⋊C4—3161no—
1351C4⋊C4—3161no—
1352C4⋊C4—3161no—
1353C4⋊C4—3161no—
1354C4⋊C4—3161no—
1355C4⋊C4—3161no—
1356C4⋊C4—3161no—
1357C4⋊C4—3161no—
1358C4⋊C4—3161no—
1359C4⋊C4—3161no—
1360C4⋊C4—3161no—
1361C4⋊C4—1582no—
1362C22⋊C4—22no—
1363C22⋊C4—22no—
1364C22⋊C4—22no—
1365C22⋊C4—22no—
1366C22⋊C4—41no—
1367C22⋊C4—41no—
1368C22⋊C4—41no—
1369C22⋊C4—41no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—3161no—
1374C22⋊C4—3161no—
1375C22⋊C4—3161no—
1376C22⋊C4—3161no—
1377C22⋊C4—3161no—
1378C22⋊C4—3161no—
1379C22⋊C4—3161no—
1380C22⋊C4—3161no—
1381C22⋊C4—3161no—
1382C22⋊C4—3161no—
1383C22⋊C4—3161no—
1384C22⋊C4—3161no—
1385C22⋊C4—3161no—
1386C22⋊C4—3161no—
1387C22⋊C4—3161no—
1388C22⋊C4—3161no—
1389C22⋊C4—3161no—
1390C22⋊C4—3161no—
1391C22⋊C4—3161no—
1392C22⋊C4—3161no—
1393C22⋊C4—3161no—
1394C22⋊C4—3161no—
1395C22⋊C4—3161no—
1396C22⋊C4—3161no—
1397C22⋊C4—3161no—
1398C22⋊C4—3161no—
1399C22⋊C4—3161no—
1400C22⋊C4—3161no—
1401C22⋊C4—3161no—
1402C22⋊C4—3161no—
1403C22⋊C4—3161no—
1404C22⋊C4—3161no—
1405C22⋊C4—3161no—
1406C22⋊C4—3161no—
1407C22⋊C4—3161no—
1408C22⋊C4—1582no—
1409C22⋊C4—1582no—
1410C22⋊C4—1582no—
1411C22⋊C4—1582no—
1412C22⋊C4—1582no—
1413C22⋊C4—1582no—
1414C22⋊C4—1582no—
1415C22⋊C4—1582no—
1416C22⋊C4—1582no—
1417C22⋊C4—1582no—
1418C22⋊C4—1582no—
1419C22⋊C4—1582no—
1420C42—41no—
1421C42—41no—
1422C42—3161no—
1423C42—3161no—
1424C42—3161no—
1425C42—3161no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—3164no—
1440C23—3164no—
1441C23—3164no—
1442C23—3164no—
1443C23—3164no—
1444C23—3164no—
1445C23—3164no—
1446C23—3164no—
1447C23—3164no—
1448C23—792no—
1449C23—792no—
1450C23—792no—
1451C23—792no—
1452C23—6322no—
1453C23—6322no—
1454C23—6322no—
1455C23—6322no—
1456C23—1588no—
1457C23—1581no—
1458C23—1581no—
1459C23—1581no—
1460C23—1581no—
1461C23—1581no—
1462C23—1581no—
1463C23—1581no—
1464C23—1581no—
1465C23—1581no—
1466C23—1581no—
1467C23—1581no—
1468C23—1581no—
1469C23—1581no—
1470C23—1581no—
1471C23—1581no—
1472C23—1581no—
1473C23—1581no—
1474C23—1581no—
1475C23—1581no—
1476C23—1581no—
1477C23—1581no—
1478C23—1581no—
1479C23—1581no—
1480C23—1581no—
1481C23—1581no—
1482C23—1581no—
1483C23—1581no—
1484C23—1581no—
1485C23—1581no—
1486C23—1581no—
1487C23—1581no—
1488C23#41×D7912yes—
1489C23C24×D7911yescharacteristic
1490Q8—82no—
1491D4—44no—
1492D4—3164no—
1493D4—3164no—
1494D4—3164no—
1495D4—3164no—
1496D4—3164no—
1497D4—6322no—
1498D4—6322no—
1499D4—6322no—
1500D4—6322no—
1501D4—6322no—
1502D4—6322no—
1503D4—6322no—
1504D4—6322no—
1505D4—6322no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—44no—
1544C2×C4—3164no—
1545C2×C4—3164no—
1546C2×C4—3164no—
1547C2×C4—3164no—
1548C2×C4—3164no—
1549C2×C4—3164no—
1550C2×C4—6322no—
1551C2×C4—6322no—
1552C2×C4—6322no—
1553C2×C4—6322no—
1554C2×C4—1581no—
1555C2×C4—1581no—
1556C2×C4—1581no—
1557C2×C4—1581no—
1558C2×C4—1581no—
1559C2×C4—1581no—
1560C2×C4—1581no—
1561C2×C4—1581no—
1562C2×C4—1581no—
1563C2×C4—1581no—
1564C2×C4—1581no—
1565C2×C4—1581no—
1566C2×C4—1581no—
1567C2×C4—1581no—
1568C2×C4—1581no—
1569C2×C4—1581no—
1570C2×C4—1581no—
1571C2×C4—1581no—
1572C2×C4—1581no—
1573C2×C4—1581no—
1574C2×C4—1581no—
1575C2×C4—1581no—
1576C2×C4—1581no—
1577C2×C4—1581no—
1578C2×C4—1581no—
1579C2×C4—1581no—
1580C2×C4—1581no—
1581C2×C4—1581no—
1582C2×C4—1581no—
1583C2×C4—1581no—
1584C2×C4—1581no—
1585C2×C4—1581no—
1586C2×C4—1581no—
1587C2×C4#1457920612yes—
1588C2×C4#1457920712yes—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—31616no—
1604C22—3161no—
1605C22—3161no—
1606C22—3161no—
1607C22—3161no—
1608C22—3161no—
1609C22—3161no—
1610C22—3161no—
1611C22—3161no—
1612C22—3161no—
1613C22—3161no—
1614C22—3161no—
1615C22—3161no—
1616C22—3161no—
1617C22—3161no—
1618C22—3161no—
1619C22—3161no—
1620C22—3161no—
1621C22—3161no—
1622C22—3161no—
1623C22—3161no—
1624C22—3161no—
1625C22—3161no—
1626C22—3161no—
1627C22—3161no—
1628C22—3161no—
1629C22—794no—
1630C22—6328no—
1631C22—1582no—
1632C22—1582no—
1633C22—1582no—
1634C22—1582no—
1635C22—1582no—
1636C22—1582no—
1637C22—1582no—
1638C22—1582no—
1639C22—1582no—
1640C22C2×#41×D7911yescharacteristic
1641C22H(5,𝔽2)×D7911yescharacteristic
1642C22H(5,𝔽2)×D7911yescharacteristic
1643C22C2×#1457920611yescharacteristic
1644C22C2×#1457920711yescharacteristic
1645C22#1909940011yescharacteristic
1646C22#1909940011yescharacteristic
1647C4—22no—
1648C4—22no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—41no—
1659C4—41no—
1660C4—3161no—
1661C4—3161no—
1662C4—3161no—
1663C4—3161no—
1664C4—3161no—
1665C4—3161no—
1666C4—3161no—
1667C4—3161no—
1668C4—3161no—
1669C4—3161no—
1670C4—3161no—
1671C2—42no—
1672C2—81no—
1673C2—3162no—
1674C2—6321no—
1675C2—6321no—
1676C2—6321no—
1677C2—1584no—
1678C2#538×D7911yescharacteristic
1679C2#2377723611yescharacteristic
1680C2#2377724011yescharacteristic
1681C2#2377754911yescharacteristic
1682C2#2377757611yescharacteristic
1683C2#2377770411yescharacteristic
1684C2#2377771211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2702C2
hypercenter#2702D79
hypocenterC79#36758
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2702

Complements

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

NH ≅ G/Ntype
1. #23771684C2semidirect
2. #23771683C2semidirect
3. #23771263C2semidirect
4. #23771062C2semidirect
5. #23771027C2semidirect
6. #23771016C2semidirect
7. #23771013C2semidirect
8. #23770728C2semidirect
9. #23770672C2semidirect
10. #23770616C2semidirect
11. #23770515C2semidirect
12. #23770395C2semidirect
13. #23770192C2semidirect
14. #23770047C2semidirect
15. #23769955C2semidirect
16. #23769843C2semidirect
17. #23769697C2semidirect
18. #23769113C2semidirect
19. #23769113C2semidirect
20. #23767786C2semidirect
21. #23767733C2semidirect
22. #23767642C2semidirect
23. #23767529C2semidirect
24. #23766958C2semidirect
25. #23766931C2semidirect
26. #23766878C2semidirect
27. #23766867C2semidirect
28. #23766062C2semidirect
29. #23766053C2semidirect
30. #386×D79C2semidirect
31. C79×#2702C2semidirect
34. C2×#14579150C22semidirect
37. C2×#14579143C22semidirect
39. C2×#14579137C22semidirect
41. C2×#14579136C22semidirect
42. C2×#14579136C22semidirect
43. C2×#14579135C22semidirect
53. C79⋊#401C22semidirect
54. #19098505C22semidirect
55. #19098505C22semidirect
56. #19098504C22semidirect
57. #19098501C22semidirect
58. #19098501C22semidirect
59. #19098500C22semidirect
60. #19098496C22semidirect
61. #19098492C22semidirect
62. #19098492C22semidirect
63. #19098491C22semidirect
64. #19098491C22semidirect
65. #19098490C22semidirect
66. #19098489C22semidirect
67. #19098489C22semidirect
68. #19098489C22semidirect
69. #19098488C22semidirect
70. #19098485C22semidirect
71. #19098485C22semidirect
72. #19098481C22semidirect
73. #19098481C22semidirect
76. #19098480C22semidirect
77. #19098480C22semidirect
78. #19098480C22semidirect
79. #19098479C22semidirect
80. #19098479C22semidirect
85. #19098474C22semidirect
92. #19098472C22semidirect
95. #19098465C22semidirect
96. #19098464C22semidirect
97. #19098463C22semidirect
98. #19098463C22semidirect
99. #19098463C22semidirect
100. #19098463C22semidirect
101. #19098457C22semidirect
102. #19098456C22semidirect
103. #19098456C22semidirect
104. #19098456C22semidirect
105. #19098455C22semidirect
106. #19098455C22semidirect
107. #19098455C22semidirect
108. #19098454C22semidirect
109. #19098454C22semidirect
110. #19098454C22semidirect
111. #19098454C22semidirect
112. #19098454C22semidirect
113. #19098453C22semidirect
114. #19098453C22semidirect
115. #19098453C22semidirect
116. #19098452C22semidirect
117. #19098449C22semidirect
118. #19098449C22semidirect
119. #19098448C22semidirect
120. #19098448C22semidirect
121. #19098444C22semidirect
130. #19098441C22semidirect
131. #19098441C22semidirect
132. #19098441C22semidirect
133. #19098441C22semidirect
134. #19098441C22semidirect
135. #19098441C22semidirect
137. #19098440C22semidirect
138. #19098440C22semidirect
141. #19098439C22semidirect
142. #19098439C22semidirect
143. #19098439C22semidirect
145. #19098435C22semidirect
146. #19098435C22semidirect
150. #19098434C22semidirect
151. #19098434C22semidirect
152. #19098434C22semidirect
153. #19098430C22semidirect
154. #19098427C22semidirect
157. #19098425C22semidirect
158. #19098423C22semidirect
159. #19098422C22semidirect
162. #19098420C22semidirect
163. #19098420C22semidirect
172. C2×#126×C79C22semidirect
173. C2×C22⋊Q8×C79C22semidirect
174. #400×C79C22semidirect
175. #398×C79C22semidirect
176. #396×C79C22semidirect
179. #393×C79C22semidirect
180. #391×C79C22semidirect
181. #389×C79C22semidirect
182. #388×C79C22semidirect
183. #388×C79C22semidirect
184. #388×C79C22semidirect
186. #380×C79C22semidirect
857. #2702D79semidirect
874. C79#36758semidirect
877. C2×#126C2×D79semidirect
884. C2×C22⋊Q8C2×D79semidirect
904. #400C2×D79semidirect
907. #398C2×D79semidirect
919. #396C2×D79semidirect
936. #393C2×D79semidirect
946. #391C2×D79semidirect
953. #389C2×D79semidirect
970. #388C2×D79semidirect
971. #388C2×D79semidirect
972. #388C2×D79semidirect
1021. #380C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237716842
#237716832
#237712632
#237710622
#237710272
#237710162
#237710132
#237707282
#237706722
#237706162
#237705152
#237703952
#237701922
#237700472
#237699552
#237698432
#237696972
#237691132
#237677862
#237677332
#237676422
#237675292
#237669582
#237669312
#237668782
#237668672
#237660622
#237660532
#386×D792
C79×#27022
#3675879