Finite Group Databasebeta

← #34500746

Subgroups — #34500746

Order 20224.

2004 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23771728C211yesmaximal, characteristic, complemented
2#23771697C211yesmaximal, characteristic, complemented
3#23771331C211yesmaximal, characteristic, complemented
4#23771105C211yesmaximal, characteristic, complemented
5#23771085C211yesmaximal, characteristic, complemented
6#23771075C211yesmaximal, characteristic, complemented
7#23770427C211yesmaximal, characteristic, complemented
8#23770083C211yesmaximal, characteristic, complemented
9#23770040C211yesmaximal, characteristic, complemented
10#23769945C211yesmaximal, characteristic, complemented
11#23769897C211yesmaximal, characteristic, complemented
12#23769780C211yesmaximal, characteristic, complemented
13#23769753C211yesmaximal, characteristic, complemented
14#23769729C211yesmaximal, characteristic, complemented
15#23769725C211yesmaximal, characteristic, complemented
16#23769698C211yesmaximal, characteristic, complemented
17#23769664C211yesmaximal, characteristic, complemented
18#23769617C211yesmaximal, characteristic, complemented
19#23769288C211yesmaximal, characteristic, complemented
20#23769256C211yesmaximal, characteristic, complemented
21#23768264C211yesmaximal, characteristic, complemented
22#23768174C211yesmaximal, characteristic, complemented
23#23768058C211yesmaximal, characteristic, complemented
24#23767520C211yesmaximal, characteristic, complemented
25#23767408C211yesmaximal, characteristic, complemented
26#23767369C211yesmaximal, characteristic, complemented
27#23767337C211yesmaximal, characteristic, complemented
28#23766936C211yesmaximal, characteristic, complemented
29#23766122C211yesmaximal, characteristic, complemented
30C4×#14579133C211yesmaximal, characteristic, complemented
31C79×#2321C211yesmaximal, characteristic, complemented
32C2×#14579157C2211yescharacteristic
33C2×#14579149C2211yescharacteristic, complemented
34C2×#14579147C2211yescharacteristic
35C2×#14579147C2211yescharacteristic
36C2×#14579146C2211yescharacteristic, complemented
37C2×#14579145C2211yescharacteristic, complemented
38C2×#14579143C2211yescharacteristic
39C2×#14579142C2211yescharacteristic
40C2×#14579140C2211yescharacteristic
41C2×#14579139C2211yescharacteristic, complemented
42C2×#14579138C2211yescharacteristic, complemented
43C2×#14579135C2211yescharacteristic
44C2×#14579134C2211yescharacteristic
45C2×#14579134C2211yescharacteristic
46C2×#14579133C2211yescharacteristic
47C2×#14579133C2211yescharacteristic
48C2×#14579133C2211yescharacteristic
49C2×#14579130C2211yescharacteristic
50C2×#14579130C2211yescharacteristic
51C2×#14579130C2211yescharacteristic
52C2×C4×D316C2211yescharacteristic, complemented
53C2×C4×C22⋊D79C2211yescharacteristic
54C2×C4×C22⋊D79C2211yescharacteristic, complemented
55C22×C4×Dic79C2211yescharacteristic, complemented
56#19098504C2211yescharacteristic, complemented
57#19098501C2211yescharacteristic, complemented
58#19098501C2211yescharacteristic, complemented
59#19098499C2211yescharacteristic, complemented
60#19098497C2211yescharacteristic, complemented
61#19098496C2211yescharacteristic, complemented
62#19098492C2211yescharacteristic, complemented
63#19098491C2211yescharacteristic
64#19098491C2211yescharacteristic
65#19098491C2211yescharacteristic
66#19098491C2211yescharacteristic
67#19098488C2211yescharacteristic
68#19098486C2211yescharacteristic
69#19098486C2211yescharacteristic
70#19098486C2211yescharacteristic
71#19098485C2211yescharacteristic, complemented
72#19098484C2211yescharacteristic, complemented
73#19098481C2211yescharacteristic, complemented
74#19098481C2211yescharacteristic, complemented
75#19098479C2211yescharacteristic
76#19098479C2211yescharacteristic
77#19098479C2211yescharacteristic
78#19098479C2211yescharacteristic
79#19098478C2211yescharacteristic
80#19098478C2211yescharacteristic
81#19098478C2211yescharacteristic
82#19098478C2211yescharacteristic
83#19098478C2211yescharacteristic
84#19098478C2211yescharacteristic
85#19098478C2211yescharacteristic
86#19098478C2211yescharacteristic
87#19098476C2211yescharacteristic, complemented
88#19098475C2211yescharacteristic
89#19098475C2211yescharacteristic
90#19098475C2211yescharacteristic
91#19098475C2211yescharacteristic, complemented
92#19098473C2211yescharacteristic, complemented
93#19098472C2211yescharacteristic
94#19098472C2211yescharacteristic
95#19098472C2211yescharacteristic
96#19098472C2211yescharacteristic
97#19098472C2211yescharacteristic
98#19098472C2211yescharacteristic, complemented
99#19098472C2211yescharacteristic, complemented
100#19098471C2211yescharacteristic
101#19098471C2211yescharacteristic
102#19098471C2211yescharacteristic
103#19098471C2211yescharacteristic
104#19098467C2211yescharacteristic, complemented
105#19098467C2211yescharacteristic, complemented
106#19098466C2211yescharacteristic
107#19098464C2211yescharacteristic, complemented
108#19098463C2211yescharacteristic
109#19098463C2211yescharacteristic
110#19098463C2211yescharacteristic
111#19098463C2211yescharacteristic
112#19098463C2211yescharacteristic
113#19098460C2211yescharacteristic, complemented
114#19098460C2211yescharacteristic, complemented
115#19098458C2211yescharacteristic, complemented
116#19098457C2211yescharacteristic
117#19098457C2211yescharacteristic
118#19098456C2211yescharacteristic
119#19098456C2211yescharacteristic
120#19098456C2211yescharacteristic
121#19098455C2211yescharacteristic, complemented
122#19098455C2211yescharacteristic, complemented
123#19098455C2211yescharacteristic, complemented
124#19098454C2211yescharacteristic, complemented
125#19098454C2211yescharacteristic, complemented
126#19098454C2211yescharacteristic, complemented
127#19098454C2211yescharacteristic, complemented
128#19098453C2211yescharacteristic, complemented
129#19098452C2211yescharacteristic, complemented
130#19098452C2211yescharacteristic, complemented
131#19098452C2211yescharacteristic, complemented
132#19098451C2211yescharacteristic
133#19098451C2211yescharacteristic
134#19098451C2211yescharacteristic
135#19098451C2211yescharacteristic
136#19098448C2211yescharacteristic, complemented
137#19098447C2211yescharacteristic, complemented
138#19098447C2211yescharacteristic, complemented
139#19098446C2211yescharacteristic, complemented
140#19098443C2211yescharacteristic
141#19098443C2211yescharacteristic
142#19098442C2211yescharacteristic
143#19098442C2211yescharacteristic
144#19098442C2211yescharacteristic
145#19098442C2211yescharacteristic, complemented
146#19098442C2211yescharacteristic, complemented
147#19098441C2211yescharacteristic, complemented
148#19098440C2211yescharacteristic, complemented
149#19098440C2211yescharacteristic, complemented
150#19098439C2211yescharacteristic
151#19098439C2211yescharacteristic
152#19098439C2211yescharacteristic
153#19098439C2211yescharacteristic
154#19098439C2211yescharacteristic
155#19098439C2211yescharacteristic, complemented
156#19098439C2211yescharacteristic, complemented
157#19098436C2211yescharacteristic
158#19098434C2211yescharacteristic, complemented
159#19098434C2211yescharacteristic, complemented
160#19098430C2211yescharacteristic, complemented
161#19098429C2211yescharacteristic, complemented
162#19098428C2211yescharacteristic, complemented
163#19098427C2211yescharacteristic, complemented
164#19098425C2211yescharacteristic, complemented
165#19098421C2211yescharacteristic, complemented
166#19098421C2211yescharacteristic, complemented
167#19098419C2211yescharacteristic
168C4×Dic79⋊C4C2211yescharacteristic, complemented
169C4×(C2×D79)⋊C4C2211yescharacteristic, complemented
170C4×C22⋊Dic79C2211yescharacteristic
171#19098409C2211yescharacteristic, complemented
172C2×#120×C79C2211yescharacteristic
173C2×C4×D4×C79C2211yescharacteristic
174C22×C22⋊C4×C79C2211yescharacteristic
175#390×C79C2211yescharacteristic
176#390×C79C2211yescharacteristic
177#388×C79C2211yescharacteristic
178#388×C79C2211yescharacteristic
179#388×C79C2211yescharacteristic
180#388×C79C2211yescharacteristic
181#386×C79C2211yescharacteristic
182#386×C79C2211yescharacteristic
183#386×C79C2211yescharacteristic
184#385×C79C2211yescharacteristic
185#379×C79C2211yescharacteristic
186C4×C22⋊C4×C79C2211yescharacteristic
187C22×Dic158C2311yescharacteristic
188C22×Dic158C2311yescharacteristic
189C22×D316C2311yescharacteristic
190C22×D316C2311yescharacteristic
191C22×D316C2311yescharacteristic
192C22×C22⋊D79C2311yescharacteristic
193C22×C22⋊D79C2311yescharacteristic
194C22×C22⋊D79C2311yescharacteristic
195C22×C22⋊D79C2311yescharacteristic
196C22×C22⋊D79C2311yescharacteristic
197C22×C22⋊D79C2311yescharacteristic
198C22×C22⋊D79C2311yescharacteristic
199C22×C22⋊D79C2311yescharacteristic
200C22×C22⋊D79C2311yescharacteristic
201C22×C22⋊D79C2311yescharacteristic
202C22×C22⋊D79C2311yescharacteristic
203C22×C22⋊D79C2311yescharacteristic
204C23×Dic79C2311yescharacteristic
205C23×Dic79C2311yescharacteristic
206C22×C4×D79C2311yescharacteristic
207C22×C4×D79C2311yescharacteristic
208C22×C4×D79C2311yescharacteristic
209#14579157—24no—
210#14579149—42no—
211#14579147—42no—
212#14579147—42no—
213#14579146—42no—
214#14579145—42no—
215#14579143—42no—
216#14579142—42no—
217#14579140—42no—
218#14579139—42no—
219#14579138—42no—
220#14579135—42no—
221#14579134—42no—
222#14579134—42no—
223#14579133—24no—
224#14579133—42no—
225#14579133—42no—
226#14579130—42no—
227#14579130—42no—
228#14579130—42no—
229C4×D316—42no—
230C4×C22⋊D79—42no—
231C4×C22⋊D79—42no—
232C2×C4⋊Dic79C2311yescharacteristic
233C2×C4⋊Dic79C2311yescharacteristic
234C2×C4⋊Dic79C2311yescharacteristic
235C2×C4⋊Dic79C2311yescharacteristic
236C2×C4⋊Dic79C2311yescharacteristic
237C2×Dic79⋊C4C2311yescharacteristic
238C2×Dic79⋊C4C2311yescharacteristic
239C2×Dic79⋊C4C2311yescharacteristic
240C2×Dic79⋊C4C2311yescharacteristic
241C2×Dic79⋊C4C2311yescharacteristic
242C2×Dic79⋊C4C2311yescharacteristic
243C2×Dic79⋊C4C2311yescharacteristic
244C2×Dic79⋊C4C2311yescharacteristic
245C2×Dic79⋊C4C2311yescharacteristic
246C2×Dic79⋊C4C2311yescharacteristic
247C2×Dic79⋊C4C2311yescharacteristic
248C2×Dic79⋊C4C2311yescharacteristic
249C2×Dic79⋊C4C2311yescharacteristic
250C2×Dic79⋊C4C2311yescharacteristic
251C2×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×C22⋊Dic79C2311yescharacteristic
265C2×C22⋊Dic79C2311yescharacteristic
266C2×C22⋊Dic79C2311yescharacteristic
267C2×C22⋊Dic79C2311yescharacteristic
268C2×C22⋊Dic79C2311yescharacteristic
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×C4×Dic79—42no—
294C2×C4×Dic79C2311yescharacteristic
295C2×C4×Dic79C2311yescharacteristic
296C2×C4×Dic79C2311yescharacteristic
297C2×C4×Dic79C2311yescharacteristic
298C2×C4×Dic79C2311yescharacteristic
299C2×C4×Dic79C2311yescharacteristic
300C2×C4×Dic79C2311yescharacteristic
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
331C25×C79C2311yescharacteristic
332C22×D4×C79C2311yescharacteristic
333C22×D4×C79C2311yescharacteristic
334C22×D4×C79C2311yescharacteristic
335C23×C4×C79C2311yescharacteristic
336C23×C4×C79C2311yescharacteristic
337C23×C4×C79C2311yescharacteristic
338#120×C79—24no—
339C4×D4×C79—42no—
340C2×C4⋊C4×C79C2311yescharacteristic
341C2×C4⋊C4×C79C2311yescharacteristic
342C2×C4⋊C4×C79C2311yescharacteristic
343C2×C22⋊C4×C79—42no—
344C2×C22⋊C4×C79C2311yescharacteristic
345C2×C22⋊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×C22⋊C4×C79C2311yescharacteristic
358C2×C22⋊C4×C79C2311yescharacteristic
359C2×C22⋊C4×C79C2311yescharacteristic
360C2×C42×C79C2311yescharacteristic
361C2×C42×C79C2311yescharacteristic
362C2×C42×C79C2311yescharacteristic
363#95×C79C2311yescharacteristic
364#95×C79C2311yescharacteristic
365#95×C79C2311yescharacteristic
366#95×C79C2311yescharacteristic
367#95×C79C2311yescharacteristic
368#95×C79C2311yescharacteristic
369C23×D79C2411yescharacteristic
370C23×D79C2411yescharacteristic
371C23×D79C2411yescharacteristic
372C2×Dic158—22no—
373C2×Dic158—41no—
374C2×Dic158—41no—
375C2×Dic158—41no—
376C2×Dic158—41no—
377C2×Dic158—41no—
378C2×D316—22no—
379C2×D316—41no—
380C2×D316—41no—
381C2×D316—41no—
382C2×D316—41no—
383C2×D316—41no—
384C2×D316—41no—
385C2×D316—41no—
386C2×D316—41no—
387C2×C22⋊D79—22no—
388C2×C22⋊D79—22no—
389C2×C22⋊D79—22no—
390C2×C22⋊D79—22no—
391C2×C22⋊D79—22no—
392C2×C22⋊D79—22no—
393C2×C22⋊D79—22no—
394C2×C22⋊D79—22no—
395C2×C22⋊D79—22no—
396C2×C22⋊D79—41no—
397C2×C22⋊D79—41no—
398C2×C22⋊D79—41no—
399C2×C22⋊D79—41no—
400C2×C22⋊D79—41no—
401C2×C22⋊D79—41no—
402C2×C22⋊D79—41no—
403C2×C22⋊D79—41no—
404C2×C22⋊D79—41no—
405C2×C22⋊D79—41no—
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—
413C2×C22⋊D79—41no—
414C2×C22⋊D79—41no—
415C2×C22⋊D79—41no—
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—
423C22×Dic79—22no—
424C22×Dic79—22no—
425C22×Dic79—22no—
426C22×Dic79—22no—
427C22×Dic79—41no—
428C22×Dic79—41no—
429C22×Dic79C2411yescharacteristic
430C22×Dic79C2411yescharacteristic
431C22×Dic79C2411yescharacteristic
432C22×Dic79C2411yescharacteristic
433C22×Dic79C2411yescharacteristic
434C22×Dic79C2411yescharacteristic
435C22×Dic79C2411yescharacteristic
436C22×Dic79C2411yescharacteristic
437C22×Dic79C2411yescharacteristic
438C22×Dic79C2411yescharacteristic
439C22×Dic79C2411yescharacteristic
440C22×Dic79C2411yescharacteristic
441C22×Dic79C2411yescharacteristic
442C2×C4×D79—22no—
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—41no—
451C4⋊Dic79—22no—
452C4⋊Dic79—22no—
453C4⋊Dic79—41no—
454C4⋊Dic79—41no—
455C4⋊Dic79—41no—
456Dic79⋊C4—22no—
457Dic79⋊C4—22no—
458Dic79⋊C4—22no—
459Dic79⋊C4—22no—
460Dic79⋊C4—22no—
461Dic79⋊C4—41no—
462Dic79⋊C4—41no—
463Dic79⋊C4—41no—
464Dic79⋊C4—41no—
465Dic79⋊C4—41no—
466Dic79⋊C4—41no—
467Dic79⋊C4—41no—
468Dic79⋊C4—41no—
469Dic79⋊C4—41no—
470C22⋊Dic79—22no—
471C22⋊Dic79—22no—
472C22⋊Dic79—22no—
473C22⋊Dic79—22no—
474C22⋊Dic79—22no—
475C22⋊Dic79—22no—
476C22⋊Dic79—22no—
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—41no—
498(C2×D79)⋊C4—41no—
499(C2×D79)⋊C4—41no—
500(C2×D79)⋊C4—41no—
501(C2×D79)⋊C4—41no—
502(C2×D79)⋊C4—41no—
503(C2×D79)⋊C4—41no—
504(C2×D79)⋊C4—41no—
505(C2×D79)⋊C4—41no—
506(C2×D79)⋊C4—41no—
507(C2×D79)⋊C4—41no—
508(C2×D79)⋊C4—41no—
509(C2×D79)⋊C4—41no—
510(C2×D79)⋊C4—41no—
511(C2×D79)⋊C4—41no—
512C4×Dic79—22no—
513C4×Dic79—22no—
514C4×Dic79—22no—
515C4×Dic79—22no—
516C4×Dic79—41no—
517C4×Dic79—41no—
518C4×Dic79—41no—
519C24×C79—22no—
520C24×C79—41no—
521C24×C79—41no—
522C24×C79—41no—
523C24×C79—41no—
524C24×C79—41no—
525C24×C79—41no—
526C24×C79C2411yescharacteristic
527C24×C79C2411yescharacteristic
528C24×C79C2411yescharacteristic
529C24×C79C2411yescharacteristic
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#4114yes—
539C22×C4×C79—22no—
540C22×C4×C79—22no—
541C22×C4×C79—41no—
542C22×C4×C79—41no—
543C22×C4×C79—41no—
544C22×C4×C79—41no—
545C22×C4×C79—41no—
546C22×C4×C79—41no—
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
559C4⋊C4×C79—41no—
560C4⋊C4×C79—41no—
561C4⋊C4×C79—41no—
562C22⋊C4×C79—22no—
563C22⋊C4×C79—22no—
564C22⋊C4×C79—22no—
565C22⋊C4×C79—22no—
566C22⋊C4×C79—22no—
567C22⋊C4×C79—41no—
568C22⋊C4×C79—41no—
569C22⋊C4×C79—41no—
570C22⋊C4×C79—41no—
571C22⋊C4×C79—41no—
572C22⋊C4×C79—41no—
573C22⋊C4×C79—41no—
574C22⋊C4×C79—41no—
575C22⋊C4×C79—41no—
576C22⋊C4×C79—41no—
577C22⋊C4×C79—41no—
578C42×C79—22no—
579C42×C79—41no—
580C42×C79—41no—
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×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—44no—
608C23×C79—82no—
609C23×C79—82no—
610C23×C79—82no—
611C23×C79—82no—
612C23×C79—82no—
613C23×C79—82no—
614C23×C79C2×#4112yes—
615C23×C79C2×#4112yes—
616C23×C79C2511yescharacteristic
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—21no—
631C22×D79—21no—
632C22×D79—21no—
633C22×D79—21no—
634C22×D79—21no—
635C22×D79—21no—
636C22×D79—21no—
637C22×D79—21no—
638D4×C79—44no—
639D4×C79—82no—
640D4×C79—82no—
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—21no—
669C2×C4×C79—21no—
670C2×C4×C79—21no—
671C2×C4×C79—21no—
672C2×C4×C79—44no—
673C2×C4×C79—82no—
674C2×C4×C79—82no—
675C2×C4×C79C2×#4112yes—
676C2×C4×C79H(5,𝔽2)12yes—
677C22⋊D79—44no—
678C22⋊D79—44no—
679C22⋊D79—82no—
680C22⋊D79—82no—
681C22⋊D79—82no—
682C22⋊D79—82no—
683C22⋊D79—82no—
684C22⋊D79—82no—
685C22⋊D79—82no—
686C22⋊D79—82no—
687C22⋊D79—82no—
688C22⋊D79—82no—
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—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—44no—
726C2×Dic79—44no—
727C2×Dic79H(5,𝔽2)12yes—
728C2×Dic79H(5,𝔽2)12yes—
729C2×Dic79H(5,𝔽2)12yes—
730D316—44no—
731D316—82no—
732D316—82no—
733C4×D79—82no—
734C4×D79—82no—
735C4×D79—82no—
736Dic158—82no—
737Dic158—82no—
738C22×C79—22no—
739C22×C79—22no—
740C22×C79—22no—
741C22×C79—22no—
742C22×C79—22no—
743C22×C79—22no—
744C22×C79—41no—
745C22×C79—41no—
746C22×C79—41no—
747C22×C79—41no—
748C22×C79—41no—
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—88no—
767C22×C79C22×#4111yescharacteristic
768C22×C79C2×H(5,𝔽2)11yescharacteristic
769C22×C79C2×H(5,𝔽2)11yescharacteristic
770C22×C79C2×H(5,𝔽2)11yescharacteristic
771C22×C79C2×H(5,𝔽2)11yescharacteristic
772C22×C79#58511yescharacteristic
773C22×C79#58511yescharacteristic
774C2×D79—41no—
775C2×D79—41no—
776C2×D79—41no—
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—
795C4×C79—22no—
796C4×C79—22no—
797C4×C79—41no—
798C4×C79—41no—
799C4×C79—41no—
800C4×C79—41no—
801C4×C79—41no—
802C4×C79—41no—
803C4×C79—41no—
804C4×C79—41no—
805C4×C79—41no—
806Dic79—22no—
807Dic79—22no—
808Dic79—22no—
809Dic79—41no—
810Dic79—41no—
811Dic79—41no—
812Dic79—41no—
813Dic79—41no—
814Dic79—41no—
815Dic79—41no—
816Dic79—41no—
817Dic79—41no—
818Dic79—41no—
819#36918—791nomaximal, Sylow
820C2×C79—42no—
821C2×C79—42no—
822C2×C79—81no—
823C2×C79—81no—
824C2×C79#345911yescharacteristic
825C2×C79#351411yescharacteristic
826C2×C79#351911yescharacteristic
827C2×C79#353411yescharacteristic
828C2×C79#354211yescharacteristic
829C2×C79#354911yescharacteristic
830C2×C79#356211yescharacteristic
831D79—81no—
832D79—81no—
833D79—81no—
834#2854—791no—
835#2850—791no—
836#2803—791no—
837#2785—791no—
838#2783—791no—
839#2782—791no—
840#2733—791no—
841#2706—791no—
842#2703—791no—
843#2696—791no—
844#2692—791no—
845#2684—791no—
846#2681—791no—
847#2678—791no—
848#2678—791no—
849#2676—791no—
850#2673—791no—
851#2669—791no—
852#2635—791no—
853#2631—791no—
854#2532—791no—
855#2526—791no—
856#2518—791no—
857#2472—791no—
858#2464—791no—
859#2461—791no—
860#2459—791no—
861#2424—791no—
862#2328—791no—
863#2321D7911yescharacteristic, complemented
864C4×#121—791no—
865C79#3691811yescharacteristic, complemented, Sylow
866C2×#127—791no—
867C2×#124—791no—
868C2×#124—791no—
869C2×#124—791no—
870C2×#123—791no—
871C2×#123—791no—
872C2×#123—791no—
873C2×#123—791no—
874C2×C22⋊Q8—791no—
875C2×C22⋊Q8—791no—
876C2×C22⋊Q8—791no—
877C2×#121—791no—
878C2×#121—791no—
879C2×#121—791no—
880C2×#121—791no—
881C2×#121—791no—
882C2×#121—791no—
883C2×#120—791no—
884C2×#120—791no—
885C2×#120—791no—
886C2×#120C2×D7911yescharacteristic
887C2×C4×D4—791no—
888C2×C4×D4—791no—
889C2×C4×D4—791no—
890C2×C4×D4C2×D7911yescharacteristic
891C22×C22⋊C4C2×D7911yescharacteristic
892C22×C42—791no—
893#400—791no—
894#400—791no—
895#400—791no—
896#399—791no—
897#398—791no—
898#398—791no—
899#397—791no—
900#397—791no—
901#397—791no—
902#397—791no—
903#397—791no—
904#397—791no—
905#396—791no—
906#396—791no—
907#396—791no—
908#396—791no—
909#395—791no—
910#394—791no—
911#394—791no—
912#394—791no—
913#394—791no—
914#394—791no—
915#394—791no—
916#394—791no—
917#394—791no—
918#394—791no—
919#394—791no—
920#394—791no—
921#394—791no—
922#394—791no—
923#394—791no—
924#393—791no—
925#393—791no—
926#393—791no—
927#393—791no—
928#393—791no—
929#392—791no—
930#392—791no—
931#392—791no—
932#392—791no—
933#392—791no—
934#392—791no—
935#392—791no—
936#392—791no—
937#392—791no—
938#392—791no—
939#392—791no—
940#392—791no—
941#391—791no—
942#391—791no—
943#390—791no—
944#390—791no—
945#390—791no—
946#390—791no—
947#390—791no—
948#390—791no—
949#390—791no—
950#390C2×D7911yescharacteristic
951#390C2×D7911yescharacteristic
952#389—791no—
953#389—791no—
954#389—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#388—791no—
974#388—791no—
975#388C2×D7911yescharacteristic
976#388C2×D7911yescharacteristic
977#388C2×D7911yescharacteristic
978#388C2×D7911yescharacteristic
979#387—791no—
980#387—791no—
981#387—791no—
982#387—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#386C2×D7911yescharacteristic
1002#386C2×D7911yescharacteristic
1003#385—791no—
1004#385—791no—
1005#385—791no—
1006#385C2×D7911yescharacteristic
1007#383—791no—
1008#382—791no—
1009#382—791no—
1010#382—791no—
1011#381—791no—
1012#380—791no—
1013#380—791no—
1014#379—791no—
1015#379C2×D7911yescharacteristic
1016C4×C4⋊C4—791no—
1017C4×C22⋊C4—791no—
1018C4×C22⋊C4—791no—
1019C4×C22⋊C4C2×D7911yescharacteristic
1020#376—791no—
1021C25C22×D7911yescharacteristic
1022C22×Q8—791no—
1023C22×Q8—791no—
1024C22×D4—791no—
1025C22×D4—791no—
1026C22×D4—791no—
1027C22×D4—791no—
1028C22×D4—791no—
1029C22×D4—791no—
1030C22×D4—791no—
1031C22×D4—791no—
1032C22×D4—791no—
1033C22×D4—791no—
1034C22×D4—791no—
1035C22×D4—791no—
1036C22×D4—791no—
1037C22×D4—791no—
1038C22×D4—791no—
1039C22×D4C22×D7911yescharacteristic
1040C22×D4C22×D7911yescharacteristic
1041C22×D4C22×D7911yescharacteristic
1042C23×C4—791no—
1043C23×C4—791no—
1044C23×C4—791no—
1045C23×C4—791no—
1046C23×C4—791no—
1047C23×C4C22×D7911yescharacteristic
1048C23×C4C22×D7911yescharacteristic
1049C23×C4C22×D7911yescharacteristic
1050#127—1584no—
1051#124—3162no—
1052#124—3162no—
1053#124—3162no—
1054#123—3162no—
1055#123—3162no—
1056#123—3162no—
1057#123—3162no—
1058C22⋊Q8—3162no—
1059C22⋊Q8—3162no—
1060C22⋊Q8—3162no—
1061#121—3162no—
1062#121—3162no—
1063#121—3162no—
1064#121—3162no—
1065#121—3162no—
1066#121—1584no—
1067#120—24no—
1068#120—3162no—
1069#120—3162no—
1070#120—3162no—
1071C4×D4—42no—
1072C4×D4—3162no—
1073C4×D4—3162no—
1074C4×D4—3162no—
1075C2×C4⋊C4—791no—
1076C2×C4⋊C4—791no—
1077C2×C4⋊C4—791no—
1078C2×C4⋊C4—791no—
1079C2×C4⋊C4—791no—
1080C2×C4⋊C4—791no—
1081C2×C4⋊C4—791no—
1082C2×C4⋊C4—791no—
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⋊C4C22×D7911yescharacteristic
1095C2×C4⋊C4C22×D7911yescharacteristic
1096C2×C4⋊C4C22×D7911yescharacteristic
1097C2×C22⋊C4—42no—
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⋊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⋊C4C22×D7911yescharacteristic
1141C2×C22⋊C4C22×D7911yescharacteristic
1142C2×C22⋊C4C22×D7911yescharacteristic
1143C2×C22⋊C4C22×D7911yescharacteristic
1144C2×C22⋊C4C22×D7911yescharacteristic
1145C2×C22⋊C4C22×D7911yescharacteristic
1146C2×C22⋊C4C22×D7911yescharacteristic
1147C2×C22⋊C4C22×D7911yescharacteristic
1148C2×C22⋊C4C22×D7911yescharacteristic
1149C2×C22⋊C4C22×D7911yescharacteristic
1150C2×C22⋊C4C22×D7911yescharacteristic
1151C2×C22⋊C4C22×D7911yescharacteristic
1152C2×C22⋊C4C22×D7911yescharacteristic
1153C2×C22⋊C4C22×D7911yescharacteristic
1154C2×C22⋊C4C22×D7911yescharacteristic
1155C2×C22⋊C4C22×D7911yescharacteristic
1156C2×C42—3162no—
1157C2×C42—791no—
1158C2×C42—791no—
1159C2×C42—791no—
1160C2×C42—791no—
1161C2×C42—791no—
1162C2×C42—791no—
1163C2×C42—791no—
1164C2×C42C22×D7911yescharacteristic
1165C2×C42C22×D7911yescharacteristic
1166C2×C42C22×D7911yescharacteristic
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#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#95C22×D7911yescharacteristic
1198#95C22×D7911yescharacteristic
1199#95C22×D7911yescharacteristic
1200#95C22×D7911yescharacteristic
1201#95C22×D7911yescharacteristic
1202#95C22×D7911yescharacteristic
1203C24—22no—
1204C24—41no—
1205C24—41no—
1206C24—41no—
1207C24—41no—
1208C24—41no—
1209C24—41no—
1210C24—791no—
1211C24—791no—
1212C24—791no—
1213C24C23×D7911yescharacteristic
1214C24C23×D7911yescharacteristic
1215C24C23×D7911yescharacteristic
1216C24C23×D7911yescharacteristic
1217C2×Q8—3161no—
1218C2×Q8—3161no—
1219C2×Q8—3161no—
1220C2×Q8—3161no—
1221C2×Q8—3161no—
1222C2×Q8—1582no—
1223C2×D4—22no—
1224C2×D4—22no—
1225C2×D4—41no—
1226C2×D4—41no—
1227C2×D4—41no—
1228C2×D4—41no—
1229C2×D4—41no—
1230C2×D4—41no—
1231C2×D4—3161no—
1232C2×D4—3161no—
1233C2×D4—3161no—
1234C2×D4—3161no—
1235C2×D4—3161no—
1236C2×D4—3161no—
1237C2×D4—3161no—
1238C2×D4—3161no—
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—3161no—
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—1582no—
1267C2×D4—1582no—
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#1192962414yes—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—41no—
1280C22×C4—41no—
1281C22×C4—41no—
1282C22×C4—41no—
1283C22×C4—41no—
1284C22×C4—41no—
1285C22×C4—41no—
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—791no—
1297C22×C4—791no—
1298C22×C4—791no—
1299C22×C4—791no—
1300C22×C4—791no—
1301C22×C4—791no—
1302C22×C4—791no—
1303C22×C4—791no—
1304C22×C4—791no—
1305C22×C4—791no—
1306C22×C4—791no—
1307C22×C4—791no—
1308C22×C4—791no—
1309C22×C4—1582no—
1310C22×C4—1582no—
1311C22×C4—1582no—
1312C22×C4—1582no—
1313C22×C4—1582no—
1314C22×C4C23×D7911yescharacteristic
1315C22×C4C23×D7911yescharacteristic
1316C22×C4C23×D7911yescharacteristic
1317C22×C4C23×D7911yescharacteristic
1318C22×C4C23×D7911yescharacteristic
1319C22×C4C23×D7911yescharacteristic
1320C22×C4C23×D7911yescharacteristic
1321C22×C4C23×D7911yescharacteristic
1322C22×C4C23×D7911yescharacteristic
1323C22×C4C23×D7911yescharacteristic
1324C22×C4C23×D7911yescharacteristic
1325C4⋊C4—41no—
1326C4⋊C4—41no—
1327C4⋊C4—41no—
1328C4⋊C4—3161no—
1329C4⋊C4—3161no—
1330C4⋊C4—3161no—
1331C4⋊C4—3161no—
1332C4⋊C4—3161no—
1333C4⋊C4—3161no—
1334C4⋊C4—3161no—
1335C4⋊C4—3161no—
1336C4⋊C4—3161no—
1337C4⋊C4—3161no—
1338C4⋊C4—3161no—
1339C4⋊C4—3161no—
1340C4⋊C4—1582no—
1341C4⋊C4—1582no—
1342C4⋊C4—1582no—
1343C4⋊C4—1582no—
1344C4⋊C4—1582no—
1345C4⋊C4—1582no—
1346C4⋊C4—1582no—
1347C22⋊C4—22no—
1348C22⋊C4—22no—
1349C22⋊C4—22no—
1350C22⋊C4—22no—
1351C22⋊C4—22no—
1352C22⋊C4—41no—
1353C22⋊C4—41no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—3161no—
1364C22⋊C4—3161no—
1365C22⋊C4—3161no—
1366C22⋊C4—3161no—
1367C22⋊C4—3161no—
1368C22⋊C4—3161no—
1369C22⋊C4—3161no—
1370C22⋊C4—3161no—
1371C22⋊C4—3161no—
1372C22⋊C4—3161no—
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—1582no—
1390C22⋊C4—1582no—
1391C22⋊C4—1582no—
1392C22⋊C4—1582no—
1393C22⋊C4—1582no—
1394C22⋊C4—1582no—
1395C22⋊C4—1582no—
1396C22⋊C4—1582no—
1397C22⋊C4—1582no—
1398C22⋊C4—1582no—
1399C22⋊C4—1582no—
1400C22⋊C4—1582no—
1401C22⋊C4—1582no—
1402C22⋊C4—1582no—
1403C22⋊C4—1582no—
1404C22⋊C4—1582no—
1405C42—22no—
1406C42—41no—
1407C42—41no—
1408C42—3161no—
1409C42—3161no—
1410C42—3161no—
1411C42—1582no—
1412C42—1582no—
1413C42—1582no—
1414C42—1582no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
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—44no—
1442C23—82no—
1443C23—82no—
1444C23—82no—
1445C23—82no—
1446C23—82no—
1447C23—82no—
1448C23—1581no—
1449C23—1581no—
1450C23—1581no—
1451C23—1581no—
1452C23—1581no—
1453C23—1581no—
1454C23—1581no—
1455C23—1581no—
1456C23—1581no—
1457C23—1581no—
1458C23—1581no—
1459C23—1581no—
1460C23—1581no—
1461C23—1581no—
1462C23—1581no—
1463C23—1581no—
1464C23—1581no—
1465C23—1581no—
1466C23—1581no—
1467C23—1581no—
1468C23—1581no—
1469C23C2×#1192962412yes—
1470C23C2×#1192962412yes—
1471C23C24×D7911yescharacteristic
1472Q8—6322no—
1473Q8—6322no—
1474D4—44no—
1475D4—82no—
1476D4—82no—
1477D4—3164no—
1478D4—3164no—
1479D4—3164no—
1480D4—6322no—
1481D4—6322no—
1482D4—6322no—
1483D4—6322no—
1484D4—6322no—
1485D4—6322no—
1486D4—6322no—
1487D4—6322no—
1488D4—6322no—
1489D4—6322no—
1490D4—6322no—
1491D4—6322no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
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—44no—
1524C2×C4—82no—
1525C2×C4—82no—
1526C2×C4—3164no—
1527C2×C4—3164no—
1528C2×C4—792no—
1529C2×C4—792no—
1530C2×C4—792no—
1531C2×C4—6322no—
1532C2×C4—6322no—
1533C2×C4—6322no—
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—1581no—
1544C2×C4—1581no—
1545C2×C4—1581no—
1546C2×C4—1581no—
1547C2×C4—1581no—
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×C4C2×#1192962412yes—
1571C2×C4#1457920612yes—
1572C22—22no—
1573C22—22no—
1574C22—22no—
1575C22—22no—
1576C22—22no—
1577C22—22no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22—41no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—88no—
1601C22—3161no—
1602C22—3161no—
1603C22—3161no—
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—
1622C22C22×#1192962411yescharacteristic
1623C22H(5,𝔽2)×D7911yescharacteristic
1624C22H(5,𝔽2)×D7911yescharacteristic
1625C22H(5,𝔽2)×D7911yescharacteristic
1626C22C2×#1457920611yescharacteristic
1627C22#1909939811yescharacteristic
1628C22#1909939911yescharacteristic
1629C4—22no—
1630C4—22no—
1631C4—41no—
1632C4—41no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—3161no—
1641C4—3161no—
1642C4—3161no—
1643C4—3161no—
1644C4—3161no—
1645C4—3161no—
1646C4—3161no—
1647C4—3161no—
1648C4—3161no—
1649C4—3161no—
1650C4—1582no—
1651C4—1582no—
1652C4—1582no—
1653C2—42no—
1654C2—42no—
1655C2—81no—
1656C2—81no—
1657C2—6321no—
1658C2—6321no—
1659C2—6321no—
1660C2#2377680911yescharacteristic
1661C2#2377735111yescharacteristic
1662C2#2377742211yescharacteristic
1663C2#2377758911yescharacteristic
1664C2#2377771111yescharacteristic
1665C2#2377780311yescharacteristic
1666C2#2377798711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2321C2
hypercenter#2321D79
hypocenterC79#36918
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2321

Complements

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

NH ≅ G/Ntype
1. #23771728C2semidirect
2. #23771697C2semidirect
3. #23771331C2semidirect
4. #23771105C2semidirect
5. #23771085C2semidirect
6. #23771075C2semidirect
7. #23770427C2semidirect
8. #23770083C2semidirect
9. #23770040C2semidirect
10. #23769945C2semidirect
11. #23769897C2semidirect
12. #23769780C2semidirect
13. #23769753C2semidirect
14. #23769729C2semidirect
15. #23769725C2semidirect
16. #23769698C2semidirect
17. #23769664C2semidirect
18. #23769617C2semidirect
19. #23769288C2semidirect
20. #23769256C2semidirect
21. #23768264C2semidirect
22. #23768174C2semidirect
23. #23768058C2semidirect
24. #23767520C2semidirect
25. #23767408C2semidirect
26. #23767369C2semidirect
27. #23767337C2semidirect
28. #23766936C2semidirect
29. #23766122C2semidirect
30. C4×#14579133C2semidirect
31. C79×#2321C2semidirect
33. C2×#14579149C22semidirect
36. C2×#14579146C22semidirect
37. C2×#14579145C22semidirect
41. C2×#14579139C22semidirect
42. C2×#14579138C22semidirect
52. C2×C4×D316C22semidirect
54. C2×C4×C22⋊D79C22semidirect
55. C22×C4×Dic79C22semidirect
56. #19098504C22semidirect
57. #19098501C22semidirect
58. #19098501C22semidirect
59. #19098499C22semidirect
60. #19098497C22semidirect
61. #19098496C22semidirect
62. #19098492C22semidirect
71. #19098485C22semidirect
72. #19098484C22semidirect
73. #19098481C22semidirect
74. #19098481C22semidirect
87. #19098476C22semidirect
91. #19098475C22semidirect
92. #19098473C22semidirect
98. #19098472C22semidirect
99. #19098472C22semidirect
104. #19098467C22semidirect
105. #19098467C22semidirect
107. #19098464C22semidirect
113. #19098460C22semidirect
114. #19098460C22semidirect
115. #19098458C22semidirect
121. #19098455C22semidirect
122. #19098455C22semidirect
123. #19098455C22semidirect
124. #19098454C22semidirect
125. #19098454C22semidirect
126. #19098454C22semidirect
127. #19098454C22semidirect
128. #19098453C22semidirect
129. #19098452C22semidirect
130. #19098452C22semidirect
131. #19098452C22semidirect
136. #19098448C22semidirect
137. #19098447C22semidirect
138. #19098447C22semidirect
139. #19098446C22semidirect
145. #19098442C22semidirect
146. #19098442C22semidirect
147. #19098441C22semidirect
148. #19098440C22semidirect
149. #19098440C22semidirect
155. #19098439C22semidirect
156. #19098439C22semidirect
158. #19098434C22semidirect
159. #19098434C22semidirect
160. #19098430C22semidirect
161. #19098429C22semidirect
162. #19098428C22semidirect
163. #19098427C22semidirect
164. #19098425C22semidirect
165. #19098421C22semidirect
166. #19098421C22semidirect
168. C4×Dic79⋊C4C22semidirect
169. C4×(C2×D79)⋊C4C22semidirect
171. #19098409C22semidirect
863. #2321D79semidirect
865. C79#36918semidirect

Maximal subgroups

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

subgroupindex
#237717282
#237716972
#237713312
#237711052
#237710852
#237710752
#237704272
#237700832
#237700402
#237699452
#237698972
#237697802
#237697532
#237697292
#237697252
#237696982
#237696642
#237696172
#237692882
#237692562
#237682642
#237681742
#237680582
#237675202
#237674082
#237673692
#237673372
#237669362
#237661222
C4×#145791332
C79×#23212
#3691879