Finite Group Databasebeta

← #34497126

Subgroups — #34497126

Order 20224.

2158 conjugacy classes of subgroups.

The subgroup lattice has 1634 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23771689C211yesmaximal, characteristic, complemented
2#23771686C211yesmaximal, characteristic, complemented
3#23771239C211yesmaximal, characteristic, complemented
4#23770787C211yesmaximal, characteristic, complemented
5#23770743C211yesmaximal, characteristic, complemented
6#23770657C211yesmaximal, characteristic, complemented
7#23770457C211yesmaximal, characteristic, complemented
8#23770403C211yesmaximal, characteristic, complemented
9#23770319C211yesmaximal, characteristic, complemented
10#23770217C211yesmaximal, characteristic, complemented
11#23770173C211yesmaximal, characteristic, complemented
12#23770138C211yesmaximal, characteristic, complemented
13#23770076C211yesmaximal, characteristic, complemented
14#23770000C211yesmaximal, characteristic, complemented
15#23769885C211yesmaximal, characteristic, complemented
16#23769806C211yesmaximal, characteristic, complemented
17#23769645C211yesmaximal, characteristic, complemented
18#23769210C211yesmaximal, characteristic, complemented
19#23769172C211yesmaximal, characteristic, complemented
20#23768585C211yesmaximal, characteristic, complemented
21#23768407C211yesmaximal, characteristic, complemented
22#23767650C211yesmaximal, characteristic, complemented
23#23767647C211yesmaximal, characteristic, complemented
24#23767532C211yesmaximal, characteristic, complemented
25#23767521C211yesmaximal, characteristic, complemented
26#23767046C211yesmaximal, characteristic, complemented
27#23766752C211yesmaximal, characteristic
28#23766134C211yesmaximal, characteristic, complemented
29#23766029C211yesmaximal, characteristic, complemented
30#386×D79C211yesmaximal, characteristic, complemented
31C79×#2701C211yesmaximal, characteristic, complemented
32C22×D4×D79C2211yescharacteristic
33C23×C4×D79C2211yescharacteristic
34C2×#14579156C2211yescharacteristic, complemented
35C2×#14579155C2211yescharacteristic, complemented
36C2×#14579148C2211yescharacteristic, complemented
37C2×#14579147C2211yescharacteristic
38C2×#14579147C2211yescharacteristic
39C2×#14579147C2211yescharacteristic, complemented
40C2×#14579142C2211yescharacteristic, complemented
41C2×#14579139C2211yescharacteristic
42C2×#14579139C2211yescharacteristic
43C2×#14579139C2211yescharacteristic
44C2×#14579139C2211yescharacteristic, complemented
45C2×#14579138C2211yescharacteristic, complemented
46C2×#14579135C2211yescharacteristic
47C2×#14579129C2211yescharacteristic
48C2×#14579129C2211yescharacteristic
49C2×C4×C22⋊D79C2211yescharacteristic
50C2×C22⋊C4×D79C2211yescharacteristic
51C2×C22⋊C4×D79C2211yescharacteristic
52C2×C22⋊C4×D79C2211yescharacteristic
53#19098504C2211yescharacteristic, complemented
54#19098499C2211yescharacteristic, complemented
55#19098499C2211yescharacteristic, complemented
56#19098498C2211yescharacteristic, complemented
57#19098497C2211yescharacteristic, complemented
58#19098492C2211yescharacteristic, complemented
59#19098492C2211yescharacteristic, complemented
60#19098491C2211yescharacteristic, complemented
61#19098491C2211yescharacteristic, complemented
62#19098491C2211yescharacteristic, complemented
63#19098490C2211yescharacteristic, complemented
64#19098490C2211yescharacteristic, complemented
65#19098489C2211yescharacteristic, complemented
66#19098489C2211yescharacteristic, complemented
67#19098489C2211yescharacteristic, complemented
68#19098488C2211yescharacteristic, complemented
69#19098486C2211yescharacteristic, complemented
70#19098486C2211yescharacteristic, complemented
71#19098486C2211yescharacteristic, complemented
72#19098485C2211yescharacteristic, complemented
73#19098485C2211yescharacteristic, complemented
74#19098484C2211yescharacteristic, complemented
75#19098483C2211yescharacteristic, complemented
76#19098483C2211yescharacteristic, complemented
77#19098481C2211yescharacteristic
78#19098480C2211yescharacteristic
79#19098479C2211yescharacteristic, complemented
80#19098478C2211yescharacteristic
81#19098478C2211yescharacteristic
82#19098478C2211yescharacteristic, complemented
83#19098478C2211yescharacteristic, complemented
84#19098478C2211yescharacteristic, complemented
85#19098477C2211yescharacteristic
86#19098477C2211yescharacteristic, complemented
87#19098477C2211yescharacteristic, complemented
88#19098476C2211yescharacteristic, complemented
89#19098476C2211yescharacteristic, complemented
90#19098475C2211yescharacteristic, complemented
91#19098475C2211yescharacteristic, complemented
92#19098475C2211yescharacteristic, complemented
93#19098471C2211yescharacteristic
94#19098471C2211yescharacteristic
95#19098468C2211yescharacteristic, complemented
96#19098468C2211yescharacteristic, complemented
97#19098467C2211yescharacteristic, complemented
98#19098467C2211yescharacteristic, complemented
99#19098466C2211yescharacteristic
100#19098464C2211yescharacteristic
101#19098463C2211yescharacteristic
102#19098463C2211yescharacteristic
103#19098463C2211yescharacteristic, complemented
104#19098459C2211yescharacteristic, complemented
105#19098458C2211yescharacteristic, complemented
106#19098458C2211yescharacteristic, complemented
107#19098457C2211yescharacteristic, complemented
108#19098456C2211yescharacteristic, complemented
109#19098456C2211yescharacteristic, complemented
110#19098455C2211yescharacteristic, complemented
111#19098454C2211yescharacteristic, complemented
112#19098453C2211yescharacteristic, complemented
113#19098452C2211yescharacteristic, complemented
114#19098451C2211yescharacteristic, complemented
115#19098451C2211yescharacteristic, complemented
116#19098451C2211yescharacteristic, complemented
117#19098451C2211yescharacteristic, complemented
118#19098450C2211yescharacteristic, complemented
119#19098450C2211yescharacteristic, complemented
120#19098450C2211yescharacteristic, complemented
121#19098449C2211yescharacteristic, complemented
122#19098448C2211yescharacteristic, complemented
123#19098447C2211yescharacteristic, complemented
124#19098444C2211yescharacteristic, complemented
125#19098444C2211yescharacteristic, complemented
126#19098443C2211yescharacteristic
127#19098442C2211yescharacteristic
128#19098441C2211yescharacteristic
129#19098441C2211yescharacteristic
130#19098440C2211yescharacteristic
131#19098439C2211yescharacteristic
132#19098439C2211yescharacteristic
133#19098439C2211yescharacteristic
134#19098439C2211yescharacteristic
135#19098439C2211yescharacteristic
136#19098439C2211yescharacteristic
137#19098439C2211yescharacteristic, complemented
138#19098439C2211yescharacteristic, complemented
139#19098437C2211yescharacteristic
140#19098437C2211yescharacteristic
141#19098437C2211yescharacteristic
142#19098437C2211yescharacteristic, complemented
143#19098436C2211yescharacteristic, complemented
144#19098436C2211yescharacteristic, complemented
145#19098434C2211yescharacteristic
146#19098434C2211yescharacteristic
147#19098434C2211yescharacteristic
148#19098434C2211yescharacteristic, complemented
149#19098434C2211yescharacteristic, complemented
150#19098434C2211yescharacteristic, complemented
151#19098430C2211yescharacteristic, complemented
152#19098427C2211yescharacteristic, complemented
153#19098426C2211yescharacteristic, complemented
154#19098424C2211yescharacteristic, complemented
155#19098423C2211yescharacteristic, complemented
156#19098422C2211yescharacteristic
157#19098422C2211yescharacteristic, complemented
158#19098421C2211yescharacteristic, complemented
159#19098420C2211yescharacteristic
160#19098420C2211yescharacteristic
161#19098418C2211yescharacteristic
162#19098418C2211yescharacteristic
163#19098418C2211yescharacteristic
164#19098418C2211yescharacteristic
165#19098418C2211yescharacteristic
166#19098418C2211yescharacteristic
167C4×(C2×D79)⋊C4C2211yescharacteristic
168#19098410C2211yescharacteristic
169#19098410C2211yescharacteristic
170#95×D79C2211yescharacteristic
171#95×D79C2211yescharacteristic
172C2×#123×C79C2211yescharacteristic, complemented
173C2×#121×C79C2211yescharacteristic
174#398×C79C2211yescharacteristic, complemented
175#397×C79C2211yescharacteristic, complemented
176#396×C79C2211yescharacteristic, complemented
177#394×C79C2211yescharacteristic
178#394×C79C2211yescharacteristic, complemented
179#394×C79C2211yescharacteristic, complemented
180#390×C79C2211yescharacteristic, complemented
181#389×C79C2211yescharacteristic, complemented
182#388×C79C2211yescharacteristic, complemented
183#386×C79C2211yescharacteristic
184#385×C79C2211yescharacteristic, complemented
185#385×C79C2211yescharacteristic, complemented
186#381×C79C2211yescharacteristic, complemented
187C24×D79C2311yescharacteristic
188C24×D79C2311yescharacteristic
189C22×Dic158C2311yescharacteristic
190C22×Dic158C2311yescharacteristic
191C22×Dic158C2311yescharacteristic
192C22×D316C2311yescharacteristic
193C22×C22⋊D79C2311yescharacteristic
194C22×C22⋊D79C2311yescharacteristic
195C22×C22⋊D79C2311yescharacteristic
196C22×C22⋊D79C2311yescharacteristic
197C22×C22⋊D79C2311yescharacteristic
198C2×D4×D79—24no—
199C2×D4×D79—42no—
200C2×D4×D79—42no—
201C23×Dic79C2311yescharacteristic
202C22×C4×D79—42no—
203C22×C4×D79—42no—
204C22×C4×D79—42no—
205C22×C4×D79C2311yescharacteristic
206C22×C4×D79C2311yescharacteristic
207C22×C4×D79C2311yescharacteristic
208C22×C4×D79C2311yescharacteristic
209C22×C4×D79C2311yescharacteristic
210C22×C4×D79C2311yescharacteristic
211C22×C4×D79C2311yescharacteristic
212#14579156—42no—
213#14579155—42no—
214#14579148—42no—
215#14579147—42no—
216#14579147—42no—
217#14579147—42no—
218#14579142—42no—
219#14579139—24no—
220#14579139—42no—
221#14579139—42no—
222#14579139—42no—
223#14579138—42no—
224#14579135—42no—
225#14579129—42no—
226#14579129—42no—
227C4×C22⋊D79—24no—
228C2×C4⋊Dic79C2311yescharacteristic
229C2×C4⋊Dic79C2311yescharacteristic
230C2×C4⋊Dic79C2311yescharacteristic
231C2×C4⋊Dic79C2311yescharacteristic
232C2×C4⋊Dic79C2311yescharacteristic
233C2×Dic79⋊C4C2311yescharacteristic
234C2×Dic79⋊C4C2311yescharacteristic
235C2×Dic79⋊C4C2311yescharacteristic
236C2×Dic79⋊C4C2311yescharacteristic
237C2×Dic79⋊C4C2311yescharacteristic
238C2×Dic79⋊C4C2311yescharacteristic
239C2×Dic79⋊C4C2311yescharacteristic
240C2×Dic79⋊C4C2311yescharacteristic
241C2×Dic79⋊C4C2311yescharacteristic
242C2×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×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×(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
291C22⋊C4×D79—42no—
292C22⋊C4×D79—42no—
293C22⋊C4×D79—42no—
294C2×C4×Dic79C2311yescharacteristic
295C2×C4×Dic79C2311yescharacteristic
296C2×C4×Dic79C2311yescharacteristic
297C2×C4×Dic79C2311yescharacteristic
298C2×C4×Dic79C2311yescharacteristic
299C2×C4×Dic79C2311yescharacteristic
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
330C79⋊#95C2311yescharacteristic
331C79⋊#95C2311yescharacteristic
332C22×D4×C79C2311yescharacteristic
333C22×D4×C79C2311yescharacteristic
334C22×D4×C79C2311yescharacteristic
335C23×C4×C79C2311yescharacteristic
336C23×C4×C79C2311yescharacteristic
337#123×C79—42no—
338#121×C79—42no—
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×C4⋊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×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—22no—
375C23×D79—22no—
376C23×D79—22no—
377C23×D79—41no—
378C23×D79—41no—
379C23×D79—41no—
380C23×D79—41no—
381C23×D79—41no—
382C23×D79—41no—
383C23×D79C2411yescharacteristic
384C23×D79C2411yescharacteristic
385C23×D79C2411yescharacteristic
386C2×Dic158—22no—
387C2×Dic158—22no—
388C2×Dic158—41no—
389C2×Dic158—41no—
390C2×Dic158—41no—
391C2×Dic158—41no—
392C2×Dic158—41no—
393C2×Dic158—41no—
394C2×Dic158—41no—
395C2×D316—22no—
396C2×D316—22no—
397C2×D316—41no—
398C2×C22⋊D79—22no—
399C2×C22⋊D79—22no—
400C2×C22⋊D79—22no—
401C2×C22⋊D79—22no—
402C2×C22⋊D79—22no—
403C2×C22⋊D79—22no—
404C2×C22⋊D79—22no—
405C2×C22⋊D79—22no—
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—
413D4×D79—416no—
414C22×Dic79—22no—
415C22×Dic79—22no—
416C22×Dic79—41no—
417C22×Dic79C2411yescharacteristic
418C22×Dic79C2411yescharacteristic
419C22×Dic79C2411yescharacteristic
420C22×Dic79C2411yescharacteristic
421C22×Dic79C2411yescharacteristic
422C22×Dic79C2411yescharacteristic
423C22×Dic79C2411yescharacteristic
424C22×Dic79C2411yescharacteristic
425C22×Dic79C2411yescharacteristic
426C22×Dic79C2411yescharacteristic
427C22×Dic79C2411yescharacteristic
428C22×Dic79C2411yescharacteristic
429C22×Dic79C2411yescharacteristic
430C2×C4×D79—22no—
431C2×C4×D79—22no—
432C2×C4×D79—22no—
433C2×C4×D79—22no—
434C2×C4×D79—22no—
435C2×C4×D79—22no—
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—41no—
447C2×C4×D79—41no—
448C2×C4×D79—41no—
449C2×C4×D79—41no—
450C2×C4×D79—416no—
451C2×C4×D79#4114yes—
452C4⋊Dic79—41no—
453C4⋊Dic79—41no—
454C4⋊Dic79—41no—
455C4⋊Dic79—41no—
456C4⋊Dic79—41no—
457Dic79⋊C4—22no—
458Dic79⋊C4—22no—
459Dic79⋊C4—22no—
460Dic79⋊C4—22no—
461Dic79⋊C4—22no—
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—
472C22⋊Dic79—22no—
473C22⋊Dic79—22no—
474C22⋊Dic79—22no—
475C22⋊Dic79—22no—
476C22⋊Dic79—41no—
477C22⋊Dic79—41no—
478C22⋊Dic79—41no—
479C22⋊Dic79—41no—
480C22⋊Dic79—41no—
481C22⋊Dic79—41no—
482C22⋊Dic79—41no—
483C22⋊Dic79—41no—
484C22⋊Dic79—41no—
485C22⋊Dic79—41no—
486C22⋊Dic79—41no—
487C22⋊Dic79—41no—
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—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—41no—
502(C2×D79)⋊C4—41no—
503(C2×D79)⋊C4—41no—
504(C2×D79)⋊C4—41no—
505(C2×D79)⋊C4—41no—
506(C2×D79)⋊C4—41no—
507(C2×D79)⋊C4—41no—
508(C2×D79)⋊C4—41no—
509(C2×D79)⋊C4—41no—
510(C2×D79)⋊C4—41no—
511(C2×D79)⋊C4—41no—
512(C2×D79)⋊C4—41no—
513(C2×D79)⋊C4—41no—
514(C2×D79)⋊C4—41no—
515C4×Dic79—22no—
516C4×Dic79—41no—
517C4×Dic79—41no—
518C4×Dic79—41no—
519C4×Dic79—41no—
520C4×Dic79—41no—
521C24×C79C2411yescharacteristic
522C24×C79C2411yescharacteristic
523C24×C79C2411yescharacteristic
524C2×D4×C79—22no—
525C2×D4×C79—22no—
526C2×D4×C79—22no—
527C2×D4×C79—41no—
528C2×D4×C79—41no—
529C2×D4×C79—41no—
530C2×D4×C79—41no—
531C2×D4×C79—41no—
532C2×D4×C79—41no—
533C22×C4×C79—22no—
534C22×C4×C79—22no—
535C22×C4×C79—41no—
536C22×C4×C79—41no—
537C22×C4×C79—41no—
538C22×C4×C79—41no—
539C22×C4×C79C2411yescharacteristic
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
551C4⋊C4×C79—22no—
552C4⋊C4×C79—41no—
553C4⋊C4×C79—41no—
554C4⋊C4×C79—41no—
555C4⋊C4×C79—41no—
556C4⋊C4×C79—41no—
557C4⋊C4×C79—41no—
558C4⋊C4×C79—41no—
559C22⋊C4×C79—22no—
560C22⋊C4×C79—22no—
561C22⋊C4×C79—41no—
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—
571C22⋊C4×C79—41no—
572C42×C79—41no—
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×C79—21no—
591C23×C79—21no—
592C23×C79—21no—
593C23×C79H(5,𝔽2)12yes—
594C23×C79C2511yescharacteristic
595C22×D79—21no—
596C22×D79—21no—
597C22×D79—21no—
598C22×D79—21no—
599C22×D79—28no—
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—44no—
614C22×D79—44no—
615C22×D79—44no—
616C22×D79—44no—
617C22×D79—44no—
618C22×D79—44no—
619C22×D79—44no—
620C22×D79—44no—
621C22×D79—44no—
622C22×D79—82no—
623C22×D79—82no—
624C22×D79—82no—
625C22×D79—82no—
626C22×D79C2×#4112yes—
627C22×D79H(5,𝔽2)12yes—
628C22×D79H(5,𝔽2)12yes—
629C22×D792−1+412yes—
630D4×C79—44no—
631D4×C79—82no—
632D4×C79—82no—
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—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—44no—
669C2×C4×C79—82no—
670C2×C4×C79C2×#4112yes—
671C22⋊D79—44no—
672C22⋊D79—44no—
673C22⋊D79—44no—
674C22⋊D79—82no—
675C22⋊D79—82no—
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—21no—
710C2×Dic79—21no—
711C2×Dic79—21no—
712C2×Dic79—21no—
713C2×Dic79—44no—
714C2×Dic79C2×#4112yes—
715C2×Dic79H(5,𝔽2)12yes—
716D316—44no—
717C4×D79—44no—
718C4×D79—44no—
719C4×D79—44no—
720C4×D79—44no—
721C4×D79—44no—
722C4×D79—82no—
723C4×D79—82no—
724Dic158—82no—
725Dic158—82no—
726Dic158—82no—
727C22×C79—22no—
728C22×C79—22no—
729C22×C79—22no—
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—41no—
743C22×C79—41no—
744C22×C79—41no—
745C22×C79—41no—
746C22×C79—41no—
747C22×C79—41no—
748C22×C79C22×#4111yescharacteristic
749C22×C79C2×H(5,𝔽2)11yescharacteristic
750C22×C79C2×H(5,𝔽2)11yescharacteristic
751C22×C79C2×H(5,𝔽2)11yescharacteristic
752C22×C79C2×H(5,𝔽2)11yescharacteristic
753C22×C79C2×2−1+411yescharacteristic
754C22×C79#58511yescharacteristic
755C2×D79—22no—
756C2×D79—22no—
757C2×D79—22no—
758C2×D79—22no—
759C2×D79—22no—
760C2×D79—22no—
761C2×D79—22no—
762C2×D79—22no—
763C2×D79—22no—
764C2×D79—416no—
765C2×D79—41no—
766C2×D79—41no—
767C2×D79—41no—
768C2×D79—41no—
769C2×D79—41no—
770C2×D79—41no—
771C2×D79—41no—
772C2×D79—41no—
773C2×D79—41no—
774C2×D79—41no—
775C2×D79—41no—
776C2×D79—88no—
777C2×D79#54214yes—
778C4×C79—22no—
779C4×C79—41no—
780C4×C79—41no—
781C4×C79—41no—
782C4×C79—41no—
783C4×C79—41no—
784C4×C79—41no—
785C4×C79—41no—
786C4×C79—41no—
787C4×C79—41no—
788C4×C79—41no—
789C4×C79—41no—
790Dic79—22no—
791Dic79—22no—
792Dic79—41no—
793Dic79—41no—
794Dic79—41no—
795Dic79—41no—
796Dic79—41no—
797Dic79—41no—
798Dic79—41no—
799Dic79—41no—
800Dic79—41no—
801Dic79—41no—
802Dic79—41no—
803#36793—791nomaximal, Sylow
804C2×C79—42no—
805C2×C79—81no—
806C2×C79—81no—
807C2×C79C2×#54211yescharacteristic
808C2×C79#349011yescharacteristic
809C2×C79#350611yescharacteristic
810C2×C79#353211yescharacteristic
811C2×C79#353411yescharacteristic
812C2×C79#353511yescharacteristic
813C2×C79#353611yescharacteristic
814D79—24no—
815D79—42no—
816D79—81no—
817#2849—791no—
818#2848—791no—
819#2796—791no—
820#2761—791no—
821#2757—791no—
822#2751—791no—
823#2737—791no—
824#2730—791no—
825#2723—791no—
826#2715—791no—
827#2712—791no—
828#2710—791no—
829#2705—791no—
830#2701D7911yescharacteristic, complemented
831#2700—791no—
832#2691—791no—
833#2686—791no—
834#2672—791no—
835#2626—791no—
836#2622—791no—
837#2564—791no—
838#2549—791no—
839#2480—791no—
840#2480—791no—
841#2472—791no—
842#2472—791no—
843#2435—791no—
844#2408—791no—
845#2329—791no—
846#2318—791no—
847C2×#386—791no—
848C79#3679311yescharacteristic, complemented, Sylow
849C23×D4—791no—
850C24×C4—791no—
851C2×#126—791no—
852C2×#126—791no—
853C2×#124—791no—
854C2×#124—791no—
855C2×#124—791no—
856C2×#124—791no—
857C2×#123—791no—
858C2×#123C2×D7911yescharacteristic, complemented
859C2×C22⋊Q8—791no—
860C2×C22⋊Q8—791no—
861C2×C22⋊Q8—791no—
862C2×C22⋊Q8—791no—
863C2×C22⋊Q8—791no—
864C2×#121—791no—
865C2×#121C2×D7911yescharacteristic
866C2×#120—791no—
867C2×#120—791no—
868C2×C4×D4—791no—
869C22×C22⋊C4—791no—
870C22×C22⋊C4—791no—
871C22×C22⋊C4—791no—
872#400—791no—
873#399—791no—
874#399—791no—
875#399—791no—
876#398—791no—
877#398C2×D7911yescharacteristic, complemented
878#397—791no—
879#397—791no—
880#397—791no—
881#397—791no—
882#397—791no—
883#397—791no—
884#397—791no—
885#397—791no—
886#397—791no—
887#397—791no—
888#397—791no—
889#397C2×D7911yescharacteristic, complemented
890#396—791no—
891#396—791no—
892#396—791no—
893#396—791no—
894#396—791no—
895#396C2×D7911yescharacteristic, complemented
896#395—791no—
897#395—791no—
898#395—791no—
899#394—791no—
900#394—791no—
901#394—791no—
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#394C2×D7911yescharacteristic
911#394C2×D7911yescharacteristic, complemented
912#394C2×D7911yescharacteristic, complemented
913#393—791no—
914#393—791no—
915#393—791no—
916#393—791no—
917#393—791no—
918#392—791no—
919#392—791no—
920#391—791no—
921#391—791no—
922#391—791no—
923#391—791no—
924#390—791no—
925#390—791no—
926#390—791no—
927#390—791no—
928#390—791no—
929#390C2×D7911yescharacteristic, complemented
930#389—791no—
931#389—791no—
932#389—791no—
933#389C2×D7911yescharacteristic, complemented
934#388—791no—
935#388—791no—
936#388—791no—
937#388—791no—
938#388—791no—
939#388—791no—
940#388—791no—
941#388—791no—
942#388—791no—
943#388—791no—
944#388—791no—
945#388C2×D7911yescharacteristic, complemented
946#387—791no—
947#387—791no—
948#387—791no—
949#387—791no—
950#387—791no—
951#387—791no—
952#387—791no—
953#387—791no—
954#386—791no—
955#386—791no—
956#386—791no—
957#386—791no—
958#386—791no—
959#386—791no—
960#386—791no—
961#386—791no—
962#386—791no—
963#386—791no—
964#386—791no—
965#386—791no—
966#386—791no—
967#386C2×D7911yescharacteristic
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#385—791no—
978#385—791no—
979#385—791no—
980#385C2×D7911yescharacteristic, complemented
981#385C2×D7911yescharacteristic, complemented
982#383—791no—
983#382—791no—
984#381—791no—
985#381—791no—
986#381C2×D7911yescharacteristic, complemented
987#380—791no—
988#380—791no—
989#380—791no—
990#380—791no—
991#380—791no—
992#380—791no—
993#379—791no—
994#379—791no—
995#379—791no—
996#379—791no—
997#379—791no—
998#379—791no—
999C4×C22⋊C4—791no—
1000C4×C22⋊C4—791no—
1001C4×C22⋊C4—791no—
1002C2×#95—791no—
1003C2×#95—791no—
1004C25—791no—
1005C25—791no—
1006C22×Q8—791no—
1007C22×Q8—791no—
1008C22×Q8—791no—
1009C22×D4—3162no—
1010C22×D4—3162no—
1011C22×D4—791no—
1012C22×D4—791no—
1013C22×D4—791no—
1014C22×D4—791no—
1015C22×D4—791no—
1016C22×D4—791no—
1017C22×D4—1584no—
1018C22×D4C22×D7911yescharacteristic
1019C22×D4C22×D7911yescharacteristic
1020C22×D4C22×D7911yescharacteristic
1021C23×C4—3162no—
1022C23×C4—3162no—
1023C23×C4—3162no—
1024C23×C4—791no—
1025C23×C4—791no—
1026C23×C4—791no—
1027C23×C4—791no—
1028C23×C4—791no—
1029C23×C4—791no—
1030C23×C4—791no—
1031C23×C4—791no—
1032C23×C4C22×D7911yescharacteristic
1033C23×C4C22×D7911yescharacteristic
1034#126—3162no—
1035#126—3162no—
1036#124—3162no—
1037#124—3162no—
1038#124—3162no—
1039#124—3162no—
1040#123—42no—
1041#123—3162no—
1042C22⋊Q8—3162no—
1043C22⋊Q8—3162no—
1044C22⋊Q8—3162no—
1045C22⋊Q8—3162no—
1046C22⋊Q8—1584no—
1047#121—42no—
1048#121—3162no—
1049#120—3162no—
1050#120—3162no—
1051C4×D4—1584no—
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⋊C4C22×D7911yescharacteristic
1073C2×C4⋊C4C22×D7911yescharacteristic
1074C2×C4⋊C4C22×D7911yescharacteristic
1075C2×C4⋊C4C22×D7911yescharacteristic
1076C2×C4⋊C4C22×D7911yescharacteristic
1077C2×C4⋊C4C22×D7911yescharacteristic
1078C2×C4⋊C4C22×D7911yescharacteristic
1079C2×C4⋊C4C22×D7911yescharacteristic
1080C2×C22⋊C4—3162no—
1081C2×C22⋊C4—3162no—
1082C2×C22⋊C4—3162no—
1083C2×C22⋊C4—791no—
1084C2×C22⋊C4—791no—
1085C2×C22⋊C4—791no—
1086C2×C22⋊C4—791no—
1087C2×C22⋊C4—791no—
1088C2×C22⋊C4—791no—
1089C2×C22⋊C4—791no—
1090C2×C22⋊C4—791no—
1091C2×C22⋊C4—791no—
1092C2×C22⋊C4—791no—
1093C2×C22⋊C4—791no—
1094C2×C22⋊C4—791no—
1095C2×C22⋊C4—791no—
1096C2×C22⋊C4—791no—
1097C2×C22⋊C4—791no—
1098C2×C22⋊C4—791no—
1099C2×C22⋊C4—791no—
1100C2×C22⋊C4—791no—
1101C2×C22⋊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—791no—
1124C2×C22⋊C4—791no—
1125C2×C22⋊C4—791no—
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×C22⋊C4C22×D7911yescharacteristic
1136C2×C22⋊C4C22×D7911yescharacteristic
1137C2×C22⋊C4C22×D7911yescharacteristic
1138C2×C22⋊C4C22×D7911yescharacteristic
1139C2×C42—791no—
1140C2×C42—791no—
1141C2×C42—791no—
1142C2×C42—791no—
1143C2×C42—791no—
1144C2×C42—791no—
1145C2×C42C22×D7911yescharacteristic
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#95—791no—
1173#95—791no—
1174#95—791no—
1175#95—791no—
1176#95—791no—
1177#95—791no—
1178#95C22×D7911yescharacteristic
1179#95C22×D7911yescharacteristic
1180#95C22×D7911yescharacteristic
1181#95C22×D7911yescharacteristic
1182#95C22×D7911yescharacteristic
1183#95C22×D7911yescharacteristic
1184#95C22×D7911yescharacteristic
1185#95C22×D7911yescharacteristic
1186C24—3161no—
1187C24—3161no—
1188C24—3161no—
1189C24—3161no—
1190C24—3161no—
1191C24—3161no—
1192C24—791no—
1193C24—791no—
1194C24—791no—
1195C24—1582no—
1196C24—1582no—
1197C24—1582no—
1198C24—1582no—
1199C24—1582no—
1200C24—1582no—
1201C24—1582no—
1202C24—1582no—
1203C24C23×D7911yescharacteristic
1204C24C23×D7911yescharacteristic
1205C24C23×D7911yescharacteristic
1206C2×Q8—3161no—
1207C2×Q8—3161no—
1208C2×Q8—3161no—
1209C2×Q8—3161no—
1210C2×Q8—3161no—
1211C2×Q8—3161no—
1212C2×Q8—3161no—
1213C2×Q8—1582no—
1214C2×Q8—1582no—
1215C2×D4—22no—
1216C2×D4—22no—
1217C2×D4—22no—
1218C2×D4—41no—
1219C2×D4—41no—
1220C2×D4—41no—
1221C2×D4—41no—
1222C2×D4—41no—
1223C2×D4—41no—
1224C2×D4—3161no—
1225C2×D4—31616no—
1226C2×D4—3161no—
1227C2×D4—3161no—
1228C2×D4—3161no—
1229C2×D4—3161no—
1230C2×D4—3161no—
1231C2×D4—3161no—
1232C2×D4—3161no—
1233C2×D4—1582no—
1234C2×D4—1582no—
1235C2×D4—1582no—
1236C2×D4—1582no—
1237C2×D4—1582no—
1238C2×D4—1582no—
1239C2×D4—1582no—
1240C2×D4—1582no—
1241C2×D4—1582no—
1242C2×D4—1582no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—41no—
1249C22×C4—3161no—
1250C22×C4—3161no—
1251C22×C4—3161no—
1252C22×C4—3161no—
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—3161no—
1262C22×C4—3161no—
1263C22×C4—31616no—
1264C22×C4—3161no—
1265C22×C4—794no—
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—791no—
1276C22×C4—791no—
1277C22×C4—791no—
1278C22×C4—791no—
1279C22×C4—1582no—
1280C22×C4—1582no—
1281C22×C4—1582no—
1282C22×C4—1582no—
1283C22×C4—1582no—
1284C22×C4—1582no—
1285C22×C4—1582no—
1286C22×C4—1582no—
1287C22×C4C23×D7911yescharacteristic
1288C22×C4C23×D7911yescharacteristic
1289C22×C4C23×D7911yescharacteristic
1290C22×C4C23×D7911yescharacteristic
1291C22×C4C23×D7911yescharacteristic
1292C22×C4C23×D7911yescharacteristic
1293C22×C4C23×D7911yescharacteristic
1294C22×C4C23×D7911yescharacteristic
1295C22×C4C23×D7911yescharacteristic
1296C22×C4C23×D7911yescharacteristic
1297C22×C4C23×D7911yescharacteristic
1298C22×C4C23×D7911yescharacteristic
1299C4⋊C4—22no—
1300C4⋊C4—41no—
1301C4⋊C4—41no—
1302C4⋊C4—41no—
1303C4⋊C4—41no—
1304C4⋊C4—41no—
1305C4⋊C4—41no—
1306C4⋊C4—41no—
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—1582no—
1323C4⋊C4—1582no—
1324C4⋊C4—1582no—
1325C4⋊C4—1582no—
1326C4⋊C4—1582no—
1327C22⋊C4—22no—
1328C22⋊C4—22no—
1329C22⋊C4—41no—
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—41no—
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—3161no—
1364C22⋊C4—3161no—
1365C22⋊C4—3161no—
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—
1378C22⋊C4—1582no—
1379C22⋊C4—1582no—
1380C22⋊C4—1582no—
1381C22⋊C4—1582no—
1382C22⋊C4—1582no—
1383C42—41no—
1384C42—3161no—
1385C42—3161no—
1386C42—3161no—
1387C42—3161no—
1388C42—3161no—
1389C42—1582no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—3164no—
1411C23—3164no—
1412C23—3164no—
1413C23—3164no—
1414C23—3164no—
1415C23—3164no—
1416C23—3164no—
1417C23—3164no—
1418C23—3164no—
1419C23—792no—
1420C23—792no—
1421C23—792no—
1422C23—792no—
1423C23—6322no—
1424C23—6322no—
1425C23—6322no—
1426C23—6322no—
1427C23—1588no—
1428C23—1581no—
1429C23—1581no—
1430C23—1581no—
1431C23—1581no—
1432C23—1581no—
1433C23—1581no—
1434C23—1581no—
1435C23—1581no—
1436C23—1581no—
1437C23—1581no—
1438C23—1581no—
1439C23—1581no—
1440C23—1581no—
1441C23—1581no—
1442C23—1581no—
1443C23—1581no—
1444C23—1581no—
1445C23#1457920612yes—
1446C23C24×D7911yescharacteristic
1447Q8—6322no—
1448Q8—6322no—
1449Q8—6322no—
1450D4—44no—
1451D4—82no—
1452D4—82no—
1453D4—3164no—
1454D4—3164no—
1455D4—3164no—
1456D4—3164no—
1457D4—6322no—
1458D4—6322no—
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—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—44no—
1495C2×C4—82no—
1496C2×C4—3164no—
1497C2×C4—3164no—
1498C2×C4—3164no—
1499C2×C4—3164no—
1500C2×C4—3164no—
1501C2×C4—3164no—
1502C2×C4—792no—
1503C2×C4—792no—
1504C2×C4—6322no—
1505C2×C4—6322no—
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—1581no—
1533C2×C4—1581no—
1534C2×C4—1581no—
1535C2×C4—1581no—
1536C2×C4—1581no—
1537C2×C4—1581no—
1538C2×C4—1581no—
1539C2×C4—1581no—
1540C2×C4—1581no—
1541C2×C4—1581no—
1542C2×C4—1581no—
1543C2×C4#41×D7912yes—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—31616no—
1566C22—3161no—
1567C22—3161no—
1568C22—3161no—
1569C22—3161no—
1570C22—3161no—
1571C22—3161no—
1572C22—3161no—
1573C22—3161no—
1574C22—3161no—
1575C22—3161no—
1576C22—3161no—
1577C22—794no—
1578C22—6328no—
1579C22—1582no—
1580C22—1582no—
1581C22—1582no—
1582C22—1582no—
1583C22—1582no—
1584C22—1582no—
1585C22—1582no—
1586C22—1582no—
1587C22—1582no—
1588C22C2×#41×D7911yescharacteristic
1589C22H(5,𝔽2)×D7911yescharacteristic
1590C22H(5,𝔽2)×D7911yescharacteristic
1591C22H(5,𝔽2)×D7911yescharacteristic
1592C22C2×#1457920611yescharacteristic
1593C222−1+4×D7911yescharacteristic
1594C22#1909939911yescharacteristic
1595C4—22no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—3161no—
1608C4—3161no—
1609C4—3161no—
1610C4—3161no—
1611C4—3161no—
1612C4—3161no—
1613C4—3161no—
1614C4—3161no—
1615C4—3161no—
1616C4—3161no—
1617C4—3161no—
1618C4—1582no—
1619C4—1582no—
1620C2—42no—
1621C2—81no—
1622C2—81no—
1623C2—3162no—
1624C2—6321no—
1625C2—1584no—
1626C2#542×D7911yescharacteristic
1627C2#2377708211yescharacteristic
1628C2#2377724611yescharacteristic
1629C2#2377755211yescharacteristic
1630C2#2377758311yescharacteristic
1631C2#2377760111yescharacteristic
1632C2#2377761911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2701C2
prime radical#23766752C2
hypercenter#2701D79
hypocenterC79#36793
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2701

Complements

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

NH ≅ G/Ntype
1. #23771689C2semidirect
2. #23771686C2semidirect
3. #23771239C2semidirect
4. #23770787C2semidirect
5. #23770743C2semidirect
6. #23770657C2semidirect
7. #23770457C2semidirect
8. #23770403C2semidirect
9. #23770319C2semidirect
10. #23770217C2semidirect
11. #23770173C2semidirect
12. #23770138C2semidirect
13. #23770076C2semidirect
14. #23770000C2semidirect
15. #23769885C2semidirect
16. #23769806C2semidirect
17. #23769645C2semidirect
18. #23769210C2semidirect
19. #23769172C2semidirect
20. #23768585C2semidirect
21. #23768407C2semidirect
22. #23767650C2semidirect
23. #23767647C2semidirect
24. #23767532C2semidirect
25. #23767521C2semidirect
26. #23767046C2semidirect
28. #23766134C2semidirect
29. #23766029C2semidirect
30. #386×D79C2semidirect
31. C79×#2701C2semidirect
34. C2×#14579156C22semidirect
35. C2×#14579155C22semidirect
36. C2×#14579148C22semidirect
39. C2×#14579147C22semidirect
40. C2×#14579142C22semidirect
44. C2×#14579139C22semidirect
45. C2×#14579138C22semidirect
53. #19098504C22semidirect
54. #19098499C22semidirect
55. #19098499C22semidirect
56. #19098498C22semidirect
57. #19098497C22semidirect
58. #19098492C22semidirect
59. #19098492C22semidirect
60. #19098491C22semidirect
61. #19098491C22semidirect
62. #19098491C22semidirect
63. #19098490C22semidirect
64. #19098490C22semidirect
65. #19098489C22semidirect
66. #19098489C22semidirect
67. #19098489C22semidirect
68. #19098488C22semidirect
69. #19098486C22semidirect
70. #19098486C22semidirect
71. #19098486C22semidirect
72. #19098485C22semidirect
73. #19098485C22semidirect
74. #19098484C22semidirect
75. #19098483C22semidirect
76. #19098483C22semidirect
79. #19098479C22semidirect
82. #19098478C22semidirect
83. #19098478C22semidirect
84. #19098478C22semidirect
86. #19098477C22semidirect
87. #19098477C22semidirect
88. #19098476C22semidirect
89. #19098476C22semidirect
90. #19098475C22semidirect
91. #19098475C22semidirect
92. #19098475C22semidirect
95. #19098468C22semidirect
96. #19098468C22semidirect
97. #19098467C22semidirect
98. #19098467C22semidirect
103. #19098463C22semidirect
104. #19098459C22semidirect
105. #19098458C22semidirect
106. #19098458C22semidirect
107. #19098457C22semidirect
108. #19098456C22semidirect
109. #19098456C22semidirect
110. #19098455C22semidirect
111. #19098454C22semidirect
112. #19098453C22semidirect
113. #19098452C22semidirect
114. #19098451C22semidirect
115. #19098451C22semidirect
116. #19098451C22semidirect
117. #19098451C22semidirect
118. #19098450C22semidirect
119. #19098450C22semidirect
120. #19098450C22semidirect
121. #19098449C22semidirect
122. #19098448C22semidirect
123. #19098447C22semidirect
124. #19098444C22semidirect
125. #19098444C22semidirect
137. #19098439C22semidirect
138. #19098439C22semidirect
142. #19098437C22semidirect
143. #19098436C22semidirect
144. #19098436C22semidirect
148. #19098434C22semidirect
149. #19098434C22semidirect
150. #19098434C22semidirect
151. #19098430C22semidirect
152. #19098427C22semidirect
153. #19098426C22semidirect
154. #19098424C22semidirect
155. #19098423C22semidirect
157. #19098422C22semidirect
158. #19098421C22semidirect
172. C2×#123×C79C22semidirect
174. #398×C79C22semidirect
175. #397×C79C22semidirect
176. #396×C79C22semidirect
178. #394×C79C22semidirect
179. #394×C79C22semidirect
180. #390×C79C22semidirect
181. #389×C79C22semidirect
182. #388×C79C22semidirect
184. #385×C79C22semidirect
185. #385×C79C22semidirect
186. #381×C79C22semidirect
830. #2701D79semidirect
848. C79#36793semidirect
858. C2×#123C2×D79semidirect
877. #398C2×D79semidirect
889. #397C2×D79semidirect
895. #396C2×D79semidirect
911. #394C2×D79semidirect
912. #394C2×D79semidirect
929. #390C2×D79semidirect
933. #389C2×D79semidirect
945. #388C2×D79semidirect
980. #385C2×D79semidirect
981. #385C2×D79semidirect
986. #381C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237716892
#237716862
#237712392
#237707872
#237707432
#237706572
#237704572
#237704032
#237703192
#237702172
#237701732
#237701382
#237700762
#237700002
#237698852
#237698062
#237696452
#237692102
#237691722
#237685852
#237684072
#237676502
#237676472
#237675322
#237675212
#237670462
#237667522
#237661342
#237660292
#386×D792
C79×#27012
#3679379