Finite Group Databasebeta

← #34496127

Subgroups — #34496127

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#23771679C211yesmaximal, characteristic, complemented
3#23771251C211yesmaximal, characteristic, complemented
4#23771060C211yesmaximal, characteristic, complemented
5#23771035C211yesmaximal, characteristic, complemented
6#23771012C211yesmaximal, characteristic, complemented
7#23771011C211yesmaximal, characteristic, complemented
8#23770721C211yesmaximal, characteristic, complemented
9#23770679C211yesmaximal, characteristic, complemented
10#23770623C211yesmaximal, characteristic, complemented
11#23770519C211yesmaximal, characteristic, complemented
12#23770393C211yesmaximal, characteristic, complemented
13#23770201C211yesmaximal, characteristic, complemented
14#23770039C211yesmaximal, characteristic, complemented
15#23770024C211yesmaximal, characteristic, complemented
16#23769957C211yesmaximal, characteristic, complemented
17#23769832C211yesmaximal, characteristic, complemented
18#23769111C211yesmaximal, characteristic, complemented
19#23769111C211yesmaximal, characteristic, complemented
20#23767792C211yesmaximal, characteristic, complemented
21#23767719C211yesmaximal, characteristic, complemented
22#23767649C211yesmaximal, characteristic, complemented
23#23767522C211yesmaximal, characteristic, complemented
24#23766952C211yesmaximal, characteristic, complemented
25#23766933C211yesmaximal, characteristic, complemented
26#23766876C211yesmaximal, characteristic, complemented
27#23766857C211yesmaximal, characteristic, complemented
28#23766059C211yesmaximal, characteristic, complemented
29#23766056C211yesmaximal, characteristic, complemented
30#386×D79C211yesmaximal, characteristic, complemented
31C79×#2676C211yesmaximal, characteristic, complemented
32C22×D4×D79C2211yescharacteristic
33C23×C4×D79C2211yescharacteristic
34C2×#14579156C2211yescharacteristic, complemented
35C2×#14579145C2211yescharacteristic, complemented
36C2×#14579143C2211yescharacteristic
37C2×#14579143C2211yescharacteristic
38C2×#14579137C2211yescharacteristic
39C2×#14579137C2211yescharacteristic, complemented
40C2×#14579132C2211yescharacteristic
41C2×#14579132C2211yescharacteristic, complemented
42C2×#14579129C2211yescharacteristic
43C2×#14579129C2211yescharacteristic
44C2×#14579129C2211yescharacteristic
45C2×#14579129C2211yescharacteristic
46C2×C4×C22⋊D79C2211yescharacteristic
47C2×(C22⋊D79)⋊C4C2211yescharacteristic
48C2×C22⋊C4×D79C2211yescharacteristic
49C2×C22⋊C4×D79C2211yescharacteristic
50C2×C22⋊C4×D79C2211yescharacteristic
51C79⋊#401C2211yescharacteristic, complemented
52#19098505C2211yescharacteristic, complemented
53#19098505C2211yescharacteristic, complemented
54#19098504C2211yescharacteristic, complemented
55#19098503C2211yescharacteristic, complemented
56#19098502C2211yescharacteristic, complemented
57#19098502C2211yescharacteristic, complemented
58#19098499C2211yescharacteristic, complemented
59#19098497C2211yescharacteristic, complemented
60#19098496C2211yescharacteristic, complemented
61#19098492C2211yescharacteristic, complemented
62#19098492C2211yescharacteristic, complemented
63#19098491C2211yescharacteristic, complemented
64#19098491C2211yescharacteristic, complemented
65#19098491C2211yescharacteristic, complemented
66#19098489C2211yescharacteristic, complemented
67#19098488C2211yescharacteristic, complemented
68#19098488C2211yescharacteristic, complemented
69#19098488C2211yescharacteristic, complemented
70#19098486C2211yescharacteristic, complemented
71#19098485C2211yescharacteristic, complemented
72#19098481C2211yescharacteristic
73#19098481C2211yescharacteristic
74#19098479C2211yescharacteristic
75#19098479C2211yescharacteristic
76#19098479C2211yescharacteristic
77#19098479C2211yescharacteristic
78#19098479C2211yescharacteristic, complemented
79#19098478C2211yescharacteristic, complemented
80#19098477C2211yescharacteristic
81#19098477C2211yescharacteristic
82#19098477C2211yescharacteristic, complemented
83#19098477C2211yescharacteristic, complemented
84#19098477C2211yescharacteristic, complemented
85#19098474C2211yescharacteristic, complemented
86#19098472C2211yescharacteristic
87#19098472C2211yescharacteristic
88#19098471C2211yescharacteristic
89#19098471C2211yescharacteristic
90#19098471C2211yescharacteristic
91#19098471C2211yescharacteristic
92#19098471C2211yescharacteristic, complemented
93#19098470C2211yescharacteristic, complemented
94#19098466C2211yescharacteristic, complemented
95#19098463C2211yescharacteristic, complemented
96#19098463C2211yescharacteristic, complemented
97#19098463C2211yescharacteristic, complemented
98#19098463C2211yescharacteristic, complemented
99#19098462C2211yescharacteristic, complemented
100#19098457C2211yescharacteristic, complemented
101#19098457C2211yescharacteristic, complemented
102#19098457C2211yescharacteristic, complemented
103#19098457C2211yescharacteristic, complemented
104#19098456C2211yescharacteristic, complemented
105#19098456C2211yescharacteristic, complemented
106#19098456C2211yescharacteristic, complemented
107#19098456C2211yescharacteristic, complemented
108#19098455C2211yescharacteristic, complemented
109#19098454C2211yescharacteristic, complemented
110#19098454C2211yescharacteristic, complemented
111#19098453C2211yescharacteristic, complemented
112#19098453C2211yescharacteristic, complemented
113#19098453C2211yescharacteristic, complemented
114#19098452C2211yescharacteristic, complemented
115#19098451C2211yescharacteristic, complemented
116#19098451C2211yescharacteristic, complemented
117#19098451C2211yescharacteristic, complemented
118#19098451C2211yescharacteristic, complemented
119#19098449C2211yescharacteristic, complemented
120#19098448C2211yescharacteristic, complemented
121#19098447C2211yescharacteristic, complemented
122#19098446C2211yescharacteristic, complemented
123#19098443C2211yescharacteristic
124#19098443C2211yescharacteristic, complemented
125#19098443C2211yescharacteristic, complemented
126#19098443C2211yescharacteristic, complemented
127#19098443C2211yescharacteristic, complemented
128#19098443C2211yescharacteristic, complemented
129#19098442C2211yescharacteristic
130#19098442C2211yescharacteristic, complemented
131#19098442C2211yescharacteristic, complemented
132#19098441C2211yescharacteristic
133#19098441C2211yescharacteristic
134#19098440C2211yescharacteristic
135#19098440C2211yescharacteristic, complemented
136#19098439C2211yescharacteristic
137#19098439C2211yescharacteristic
138#19098439C2211yescharacteristic
139#19098439C2211yescharacteristic
140#19098439C2211yescharacteristic
141#19098439C2211yescharacteristic
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#19098430C2211yescharacteristic, complemented
153#19098427C2211yescharacteristic, complemented
154#19098426C2211yescharacteristic, complemented
155#19098425C2211yescharacteristic
156#19098425C2211yescharacteristic
157#19098423C2211yescharacteristic, complemented
158#19098423C2211yescharacteristic, complemented
159#19098421C2211yescharacteristic, 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×#124×C79C2211yescharacteristic, complemented
173C2×C22⋊Q8×C79C2211yescharacteristic, complemented
174C2×#121×C79C2211yescharacteristic, complemented
175C2×#121×C79C2211yescharacteristic, complemented
176#396×C79C2211yescharacteristic, complemented
177#394×C79C2211yescharacteristic, complemented
178#394×C79C2211yescharacteristic, complemented
179#393×C79C2211yescharacteristic, complemented
180#392×C79C2211yescharacteristic
181#392×C79C2211yescharacteristic
182#390×C79C2211yescharacteristic, complemented
183#387×C79C2211yescharacteristic, complemented
184#386×C79C2211yescharacteristic
185#386×C79C2211yescharacteristic, complemented
186#385×C79C2211yescharacteristic, complemented
187C24×D79C2311yescharacteristic
188C24×D79C2311yescharacteristic
189C22×D316C2311yescharacteristic
190C22×C22⋊D79C2311yescharacteristic
191C22×C22⋊D79C2311yescharacteristic
192C22×C22⋊D79C2311yescharacteristic
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
202C23×Dic79C2311yescharacteristic
203C22×C4×D79—42no—
204C22×C4×D79—42no—
205C22×C4×D79—42no—
206C22×C4×D79C2311yescharacteristic
207C22×C4×D79C2311yescharacteristic
208C22×C4×D79C2311yescharacteristic
209C22×C4×D79C2311yescharacteristic
210C22×C4×D79C2311yescharacteristic
211C22×C4×D79C2311yescharacteristic
212C22×C4×D79C2311yescharacteristic
213#14579156—42no—
214#14579145—42no—
215#14579143—42no—
216#14579143—42no—
217#14579137—42no—
218#14579137—42no—
219#14579132—42no—
220#14579132—42no—
221#14579129—24no—
222#14579129—24no—
223#14579129—42no—
224#14579129—42no—
225C4×C22⋊D79—42no—
226(C22⋊D79)⋊C4—42no—
227C2×C4⋊Dic79C2311yescharacteristic
228C2×C4⋊Dic79C2311yescharacteristic
229C2×C4⋊Dic79C2311yescharacteristic
230C2×C4⋊Dic79C2311yescharacteristic
231C2×C4⋊Dic79C2311yescharacteristic
232C2×C4⋊Dic79C2311yescharacteristic
233C2×C4⋊Dic79C2311yescharacteristic
234C2×Dic79⋊C4C2311yescharacteristic
235C2×Dic79⋊C4C2311yescharacteristic
236C2×Dic79⋊C4C2311yescharacteristic
237C2×Dic79⋊C4C2311yescharacteristic
238C2×Dic79⋊C4C2311yescharacteristic
239C2×Dic79⋊C4C2311yescharacteristic
240C2×Dic79⋊C4C2311yescharacteristic
241C2×Dic79⋊C4C2311yescharacteristic
242C2×Dic79⋊C4C2311yescharacteristic
243C2×Dic79⋊C4C2311yescharacteristic
244C2×C22⋊Dic79C2311yescharacteristic
245C2×C22⋊Dic79C2311yescharacteristic
246C2×C22⋊Dic79C2311yescharacteristic
247C2×C22⋊Dic79C2311yescharacteristic
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
288C22⋊C4×D79—42no—
289C22⋊C4×D79—42no—
290C22⋊C4×D79—42no—
291C2×C4×Dic79C2311yescharacteristic
292C2×C4×Dic79C2311yescharacteristic
293C2×C4×Dic79C2311yescharacteristic
294C2×C4×Dic79C2311yescharacteristic
295C2×C4×Dic79C2311yescharacteristic
296C79⋊#95C2311yescharacteristic
297C79⋊#95C2311yescharacteristic
298C79⋊#95C2311yescharacteristic
299C79⋊#95C2311yescharacteristic
300C79⋊#95C2311yescharacteristic
301C79⋊#95C2311yescharacteristic
302C79⋊#95C2311yescharacteristic
303C79⋊#95C2311yescharacteristic
304C79⋊#95C2311yescharacteristic
305C79⋊#95C2311yescharacteristic
306C79⋊#95C2311yescharacteristic
307C79⋊#95C2311yescharacteristic
308C79⋊#95C2311yescharacteristic
309C79⋊#95C2311yescharacteristic
310C79⋊#95C2311yescharacteristic
311C79⋊#95C2311yescharacteristic
312C79⋊#95C2311yescharacteristic
313C79⋊#95C2311yescharacteristic
314C79⋊#95C2311yescharacteristic
315C79⋊#95C2311yescharacteristic
316C79⋊#95C2311yescharacteristic
317C79⋊#95C2311yescharacteristic
318C79⋊#95C2311yescharacteristic
319C79⋊#95C2311yescharacteristic
320C79⋊#95C2311yescharacteristic
321C79⋊#95C2311yescharacteristic
322C79⋊#95C2311yescharacteristic
323C79⋊#95C2311yescharacteristic
324C79⋊#95C2311yescharacteristic
325C79⋊#95C2311yescharacteristic
326C79⋊#95C2311yescharacteristic
327C79⋊#95C2311yescharacteristic
328C79⋊#95C2311yescharacteristic
329C79⋊#95C2311yescharacteristic
330C22×Q8×C79C2311yescharacteristic
331C22×D4×C79C2311yescharacteristic
332C22×D4×C79C2311yescharacteristic
333C22×D4×C79C2311yescharacteristic
334C22×D4×C79C2311yescharacteristic
335C22×D4×C79C2311yescharacteristic
336C22×D4×C79C2311yescharacteristic
337C23×C4×C79C2311yescharacteristic
338C23×C4×C79C2311yescharacteristic
339#124×C79—42no—
340C22⋊Q8×C79—42no—
341#121×C79—42no—
342#121×C79—42no—
343C2×C4⋊C4×C79C2311yescharacteristic
344C2×C4⋊C4×C79C2311yescharacteristic
345C2×C4⋊C4×C79C2311yescharacteristic
346C2×C4⋊C4×C79C2311yescharacteristic
347C2×C4⋊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×C22⋊C4×C79C2311yescharacteristic
361C2×C22⋊C4×C79C2311yescharacteristic
362C2×C42×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
386C2×D316—22no—
387C2×D316—41no—
388C2×D316—41no—
389C2×C22⋊D79—22no—
390C2×C22⋊D79—22no—
391C2×C22⋊D79—22no—
392C2×C22⋊D79—22no—
393C2×C22⋊D79—22no—
394C2×C22⋊D79—22no—
395C2×C22⋊D79—22no—
396C2×C22⋊D79—22no—
397C2×C22⋊D79—22no—
398C2×C22⋊D79—22no—
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—
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—41no—
415C22×Dic79—41no—
416C22×Dic79—41no—
417C22×Dic79—41no—
418C22×Dic79—41no—
419C22×Dic79—41no—
420C22×Dic79C2411yescharacteristic
421C22×Dic79C2411yescharacteristic
422C22×Dic79C2411yescharacteristic
423C22×Dic79C2411yescharacteristic
424C22×Dic79C2411yescharacteristic
425C22×Dic79C2411yescharacteristic
426C22×Dic79C2411yescharacteristic
427C22×Dic79C2411yescharacteristic
428C22×Dic79C2411yescharacteristic
429C22×Dic79C2411yescharacteristic
430C22×Dic79C2411yescharacteristic
431C22×Dic79C2411yescharacteristic
432C22×Dic79C2411yescharacteristic
433C2×C4×D79—22no—
434C2×C4×D79—22no—
435C2×C4×D79—22no—
436C2×C4×D79—22no—
437C2×C4×D79—22no—
438C2×C4×D79—22no—
439C2×C4×D79—22no—
440C2×C4×D79—22no—
441C2×C4×D79—22no—
442C2×C4×D79—22no—
443C2×C4×D79—22no—
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—41no—
451C2×C4×D79—41no—
452C2×C4×D79—41no—
453C2×C4×D79—41no—
454C2×C4×D79—416no—
455C4⋊Dic79—22no—
456C4⋊Dic79—22no—
457C4⋊Dic79—41no—
458C4⋊Dic79—41no—
459C4⋊Dic79—41no—
460C4⋊Dic79—41no—
461C4⋊Dic79—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—
472C22⋊Dic79—22no—
473C22⋊Dic79—22no—
474C22⋊Dic79—41no—
475C22⋊Dic79—41no—
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—
488C22⋊Dic79—41no—
489C22⋊Dic79—41no—
490C22⋊Dic79—41no—
491C22⋊Dic79—41no—
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—22no—
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—
515(C2×D79)⋊C4—41no—
516C4×Dic79—41no—
517C4×Dic79—41no—
518C4×Dic79—41no—
519C4×Dic79—41no—
520C4×Dic79—41no—
521C24×C79C2411yescharacteristic
522C24×C79C2411yescharacteristic
523C24×C79C2411yescharacteristic
524C24×C79C2411yescharacteristic
525C2×Q8×C79—22no—
526C2×Q8×C79—41no—
527C2×Q8×C79—41no—
528C2×D4×C79—22no—
529C2×D4×C79—22no—
530C2×D4×C79—22no—
531C2×D4×C79—22no—
532C2×D4×C79—41no—
533C2×D4×C79—41no—
534C2×D4×C79—41no—
535C2×D4×C79—41no—
536C2×D4×C79—41no—
537C2×D4×C79—41no—
538C2×D4×C79—41no—
539C2×D4×C79—41no—
540C2×D4×C79—41no—
541C2×D4×C79—41no—
542C2×D4×C79—41no—
543C2×D4×C79—41no—
544C2×D4×C79—41no—
545C2×D4×C79—41no—
546C22×C4×C79—22no—
547C22×C4×C79—22no—
548C22×C4×C79—41no—
549C22×C4×C79—41no—
550C22×C4×C79—41no—
551C22×C4×C79—41no—
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
561C22×C4×C79C2411yescharacteristic
562C22×C4×C79C2411yescharacteristic
563C4⋊C4×C79—22no—
564C4⋊C4×C79—22no—
565C4⋊C4×C79—41no—
566C4⋊C4×C79—41no—
567C4⋊C4×C79—41no—
568C22⋊C4×C79—22no—
569C22⋊C4×C79—22no—
570C22⋊C4×C79—22no—
571C22⋊C4×C79—22no—
572C22⋊C4×C79—41no—
573C22⋊C4×C79—41no—
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—
581C22⋊C4×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×C79—21no—
597C23×C79—21no—
598C23×C79—21no—
599C23×C79—21no—
600C23×C79—21no—
601C23×C79—21no—
602C23×C79—21no—
603C23×C79—21no—
604C23×C79—21no—
605C23×C79—21no—
606C23×C79—21no—
607C23×C79—21no—
608C23×C79—21no—
609C23×C79—21no—
610C23×C79C2×#4112yes—
611C23×C79C2511yescharacteristic
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—28no—
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—
649D4×C79—82no—
650D4×C79—82no—
651D4×C79—82no—
652D4×C79—82no—
653D4×C79—82no—
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—44no—
686C2×C4×C79—82no—
687C2×C4×C79H(5,𝔽2)12yes—
688C2×C4×C79H(5,𝔽2)12yes—
689C22⋊D79—44no—
690C22⋊D79—44no—
691C22⋊D79—44no—
692C22⋊D79—44no—
693C22⋊D79—82no—
694C22⋊D79—82no—
695C22⋊D79—82no—
696C22⋊D79—82no—
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—21no—
729C2×Dic79—21no—
730C2×Dic79—21no—
731C2×Dic79—21no—
732C2×Dic79—21no—
733C2×Dic79—21no—
734C2×Dic79—21no—
735C2×Dic79—21no—
736C2×Dic79—44no—
737C2×Dic79—82no—
738D316—44no—
739C4×D79—44no—
740C4×D79—44no—
741C4×D79—44no—
742C4×D79—44no—
743C4×D79—44no—
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×C79—41no—
761C22×C79—41no—
762C22×C79—41no—
763C22×C79—41no—
764C22×C79—41no—
765C22×C79—41no—
766C22×C79—41no—
767C22×C79—41no—
768C22×C79—41no—
769C22×C79—41no—
770C22×C79—41no—
771C22×C79—41no—
772C22×C79—41no—
773C22×C79—41no—
774C22×C79C22×#4111yescharacteristic
775C22×C79C2×H(5,𝔽2)11yescharacteristic
776C22×C79C2×H(5,𝔽2)11yescharacteristic
777C22×C79C2×H(5,𝔽2)11yescharacteristic
778C22×C79C2×H(5,𝔽2)11yescharacteristic
779C22×C79#58511yescharacteristic
780C22×C79#58511yescharacteristic
781C2×D79—22no—
782C2×D79—22no—
783C2×D79—22no—
784C2×D79—22no—
785C2×D79—22no—
786C2×D79—22no—
787C2×D79—22no—
788C2×D79—22no—
789C2×D79—22no—
790C2×D79—416no—
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—
815Dic79—41no—
816Dic79—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×C79—81no—
832C2×C79—81no—
833C2×C79C2×#53811yescharacteristic
834C2×C79#350511yescharacteristic
835C2×C79#350511yescharacteristic
836C2×C79#353211yescharacteristic
837C2×C79#353311yescharacteristic
838C2×C79#354211yescharacteristic
839C2×C79#354211yescharacteristic
840D79—24no—
841D79—42no—
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#2702—791no—
858#2696—791no—
859#2688—791no—
860#2676D7911yescharacteristic, complemented
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×#126—791no—
878C2×#124C2×D7911yescharacteristic, complemented
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×#121C2×D7911yescharacteristic, complemented
888C2×#121C2×D7911yescharacteristic, complemented
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#400—791no—
905#399—791no—
906#398—791no—
907#398—791no—
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, complemented
934#394C2×D7911yescharacteristic, complemented
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#392C2×D7911yescharacteristic
945#392C2×D7911yescharacteristic
946#391—791no—
947#390—791no—
948#390—791no—
949#390—791no—
950#390—791no—
951#390—791no—
952#390C2×D7911yescharacteristic, complemented
953#389—791no—
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#388—791no—
971#388—791no—
972#388—791no—
973#387—791no—
974#387—791no—
975#387—791no—
976#387—791no—
977#387C2×D7911yescharacteristic, complemented
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#386C2×D7911yescharacteristic
1000#386C2×D7911yescharacteristic, complemented
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#385C2×D7911yescharacteristic, complemented
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#380—791no—
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—1584no—
1045C22×D4C22×D7911yescharacteristic
1046C22×D4C22×D7911yescharacteristic
1047C22×D4C22×D7911yescharacteristic
1048C22×D4C22×D7911yescharacteristic
1049C22×D4C22×D7911yescharacteristic
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×C4C22×D7911yescharacteristic
1064C23×C4C22×D7911yescharacteristic
1065#126—3162no—
1066#124—42no—
1067#123—3162no—
1068#123—3162no—
1069#123—3162no—
1070C22⋊Q8—42no—
1071C22⋊Q8—3162no—
1072C22⋊Q8—3162no—
1073#121—42no—
1074#121—42no—
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⋊C4—791no—
1097C2×C4⋊C4—791no—
1098C2×C4⋊C4—791no—
1099C2×C4⋊C4—791no—
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⋊C4C22×D7911yescharacteristic
1153C2×C22⋊C4C22×D7911yescharacteristic
1154C2×C22⋊C4C22×D7911yescharacteristic
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×C42—791no—
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#95—791no—
1203#95—791no—
1204#95—791no—
1205#95—791no—
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—1582no—
1225C24—1582no—
1226C24—1582no—
1227C24—1582no—
1228C24—1582no—
1229C24C23×D7911yescharacteristic
1230C24C23×D7911yescharacteristic
1231C24C23×D7911yescharacteristic
1232C24C23×D7911yescharacteristic
1233C2×Q8—22no—
1234C2×Q8—41no—
1235C2×Q8—41no—
1236C2×D4—22no—
1237C2×D4—22no—
1238C2×D4—22no—
1239C2×D4—22no—
1240C2×D4—41no—
1241C2×D4—41no—
1242C2×D4—41no—
1243C2×D4—41no—
1244C2×D4—41no—
1245C2×D4—41no—
1246C2×D4—41no—
1247C2×D4—41no—
1248C2×D4—41no—
1249C2×D4—41no—
1250C2×D4—41no—
1251C2×D4—41no—
1252C2×D4—41no—
1253C2×D4—41no—
1254C2×D4—3161no—
1255C2×D4—3161no—
1256C2×D4—31616no—
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—3161no—
1269C2×D4—3161no—
1270C2×D4—3161no—
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—41no—
1286C22×C4—41no—
1287C22×C4—41no—
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—31616no—
1299C22×C4—3161no—
1300C22×C4—3161no—
1301C22×C4—3161no—
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—791no—
1317C22×C4—791no—
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×C4—1582no—
1328C22×C4—1582no—
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—41no—
1343C4⋊C4—41no—
1344C4⋊C4—41no—
1345C4⋊C4—3161no—
1346C4⋊C4—3161no—
1347C4⋊C4—3161no—
1348C4⋊C4—3161no—
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—1582no—
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—41no—
1374C22⋊C4—41no—
1375C22⋊C4—41no—
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—3161no—
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—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—3164no—
1454C23—3164no—
1455C23—3164no—
1456C23—3164no—
1457C23—3164no—
1458C23—3164no—
1459C23—3164no—
1460C23—3164no—
1461C23—3164no—
1462C23—792no—
1463C23—792no—
1464C23—792no—
1465C23—792no—
1466C23—6322no—
1467C23—6322no—
1468C23—6322no—
1469C23—6322no—
1470C23—1588no—
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—82no—
1493D4—82no—
1494D4—82no—
1495D4—82no—
1496D4—82no—
1497D4—3164no—
1498D4—3164no—
1499D4—3164no—
1500D4—3164no—
1501D4—3164no—
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—44no—
1538C2×C4—82no—
1539C2×C4—3164no—
1540C2×C4—3164no—
1541C2×C4—3164no—
1542C2×C4—3164no—
1543C2×C4—3164no—
1544C2×C4—3164no—
1545C2×C4—6322no—
1546C2×C4—6322no—
1547C2×C4—6322no—
1548C2×C4—1581no—
1549C2×C4—1581no—
1550C2×C4—1581no—
1551C2×C4—1581no—
1552C2×C4—1581no—
1553C2×C4—1581no—
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#1457920612yes—
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—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—31616no—
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×#1457920611yescharacteristic
1645C22#1909939811yescharacteristic
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—3161no—
1659C4—3161no—
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—81no—
1674C2—81no—
1675C2—3162no—
1676C2—6321no—
1677C2—1584no—
1678C2#538×D7911yescharacteristic
1679C2#2377722711yescharacteristic
1680C2#2377723611yescharacteristic
1681C2#2377755011yescharacteristic
1682C2#2377756211yescharacteristic
1683C2#2377770411yescharacteristic
1684C2#2377771811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2676C2
hypercenter#2676D79
hypocenterC79#36758
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2676

Complements

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

NH ≅ G/Ntype
1. #23771684C2semidirect
2. #23771679C2semidirect
3. #23771251C2semidirect
4. #23771060C2semidirect
5. #23771035C2semidirect
6. #23771012C2semidirect
7. #23771011C2semidirect
8. #23770721C2semidirect
9. #23770679C2semidirect
10. #23770623C2semidirect
11. #23770519C2semidirect
12. #23770393C2semidirect
13. #23770201C2semidirect
14. #23770039C2semidirect
15. #23770024C2semidirect
16. #23769957C2semidirect
17. #23769832C2semidirect
18. #23769111C2semidirect
19. #23769111C2semidirect
20. #23767792C2semidirect
21. #23767719C2semidirect
22. #23767649C2semidirect
23. #23767522C2semidirect
24. #23766952C2semidirect
25. #23766933C2semidirect
26. #23766876C2semidirect
27. #23766857C2semidirect
28. #23766059C2semidirect
29. #23766056C2semidirect
30. #386×D79C2semidirect
31. C79×#2676C2semidirect
34. C2×#14579156C22semidirect
35. C2×#14579145C22semidirect
39. C2×#14579137C22semidirect
41. C2×#14579132C22semidirect
51. C79⋊#401C22semidirect
52. #19098505C22semidirect
53. #19098505C22semidirect
54. #19098504C22semidirect
55. #19098503C22semidirect
56. #19098502C22semidirect
57. #19098502C22semidirect
58. #19098499C22semidirect
59. #19098497C22semidirect
60. #19098496C22semidirect
61. #19098492C22semidirect
62. #19098492C22semidirect
63. #19098491C22semidirect
64. #19098491C22semidirect
65. #19098491C22semidirect
66. #19098489C22semidirect
67. #19098488C22semidirect
68. #19098488C22semidirect
69. #19098488C22semidirect
70. #19098486C22semidirect
71. #19098485C22semidirect
78. #19098479C22semidirect
79. #19098478C22semidirect
82. #19098477C22semidirect
83. #19098477C22semidirect
84. #19098477C22semidirect
85. #19098474C22semidirect
92. #19098471C22semidirect
93. #19098470C22semidirect
94. #19098466C22semidirect
95. #19098463C22semidirect
96. #19098463C22semidirect
97. #19098463C22semidirect
98. #19098463C22semidirect
99. #19098462C22semidirect
100. #19098457C22semidirect
101. #19098457C22semidirect
102. #19098457C22semidirect
103. #19098457C22semidirect
104. #19098456C22semidirect
105. #19098456C22semidirect
106. #19098456C22semidirect
107. #19098456C22semidirect
108. #19098455C22semidirect
109. #19098454C22semidirect
110. #19098454C22semidirect
111. #19098453C22semidirect
112. #19098453C22semidirect
113. #19098453C22semidirect
114. #19098452C22semidirect
115. #19098451C22semidirect
116. #19098451C22semidirect
117. #19098451C22semidirect
118. #19098451C22semidirect
119. #19098449C22semidirect
120. #19098448C22semidirect
121. #19098447C22semidirect
122. #19098446C22semidirect
124. #19098443C22semidirect
125. #19098443C22semidirect
126. #19098443C22semidirect
127. #19098443C22semidirect
128. #19098443C22semidirect
130. #19098442C22semidirect
131. #19098442C22semidirect
135. #19098440C22semidirect
142. #19098439C22semidirect
143. #19098439C22semidirect
145. #19098435C22semidirect
146. #19098435C22semidirect
150. #19098434C22semidirect
151. #19098434C22semidirect
152. #19098430C22semidirect
153. #19098427C22semidirect
154. #19098426C22semidirect
157. #19098423C22semidirect
158. #19098423C22semidirect
159. #19098421C22semidirect
162. #19098420C22semidirect
163. #19098420C22semidirect
172. C2×#124×C79C22semidirect
173. C2×C22⋊Q8×C79C22semidirect
174. C2×#121×C79C22semidirect
175. C2×#121×C79C22semidirect
176. #396×C79C22semidirect
177. #394×C79C22semidirect
178. #394×C79C22semidirect
179. #393×C79C22semidirect
182. #390×C79C22semidirect
183. #387×C79C22semidirect
185. #386×C79C22semidirect
186. #385×C79C22semidirect
860. #2676D79semidirect
874. C79#36758semidirect
878. C2×#124C2×D79semidirect
884. C2×C22⋊Q8C2×D79semidirect
887. C2×#121C2×D79semidirect
888. C2×#121C2×D79semidirect
919. #396C2×D79semidirect
933. #394C2×D79semidirect
934. #394C2×D79semidirect
936. #393C2×D79semidirect
952. #390C2×D79semidirect
977. #387C2×D79semidirect
1000. #386C2×D79semidirect
1009. #385C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237716842
#237716792
#237712512
#237710602
#237710352
#237710122
#237710112
#237707212
#237706792
#237706232
#237705192
#237703932
#237702012
#237700392
#237700242
#237699572
#237698322
#237691112
#237677922
#237677192
#237676492
#237675222
#237669522
#237669332
#237668762
#237668572
#237660592
#237660562
#386×D792
C79×#26762
#3675879