Finite Group Databasebeta

← #34500742

Subgroups — #34500742

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#23771731C211yesmaximal, characteristic, complemented
2#23771701C211yesmaximal, characteristic, complemented
3#23771327C211yesmaximal, characteristic, complemented
4#23771105C211yesmaximal, characteristic, complemented
5#23771081C211yesmaximal, characteristic, complemented
6#23771077C211yesmaximal, characteristic, complemented
7#23770427C211yesmaximal, characteristic, complemented
8#23770088C211yesmaximal, characteristic, complemented
9#23770047C211yesmaximal, characteristic, complemented
10#23769950C211yesmaximal, characteristic, complemented
11#23769900C211yesmaximal, characteristic, complemented
12#23769781C211yesmaximal, characteristic, complemented
13#23769749C211yesmaximal, characteristic, complemented
14#23769728C211yesmaximal, characteristic, complemented
15#23769722C211yesmaximal, characteristic, complemented
16#23769705C211yesmaximal, characteristic, complemented
17#23769662C211yesmaximal, characteristic, complemented
18#23769618C211yesmaximal, characteristic, complemented
19#23769284C211yesmaximal, characteristic, complemented
20#23769252C211yesmaximal, characteristic, complemented
21#23768262C211yesmaximal, characteristic, complemented
22#23768172C211yesmaximal, characteristic, complemented
23#23768052C211yesmaximal, characteristic, complemented
24#23767526C211yesmaximal, characteristic, complemented
25#23767406C211yesmaximal, characteristic, complemented
26#23767367C211yesmaximal, characteristic, complemented
27#23767331C211yesmaximal, characteristic, complemented
28#23766930C211yesmaximal, characteristic, complemented
29#23766122C211yesmaximal, characteristic, complemented
30#23766054C211yesmaximal, characteristic, complemented
31C4×#121×C79C211yesmaximal, characteristic, complemented
32C2×#14579157C2211yescharacteristic
33C2×#14579149C2211yescharacteristic
34C2×#14579149C2211yescharacteristic
35C2×#14579147C2211yescharacteristic, complemented
36C2×#14579146C2211yescharacteristic
37C2×#14579144C2211yescharacteristic
38C2×#14579144C2211yescharacteristic, complemented
39C2×#14579143C2211yescharacteristic, complemented
40C2×#14579140C2211yescharacteristic, complemented
41C2×#14579139C2211yescharacteristic, complemented
42C2×#14579138C2211yescharacteristic
43C2×#14579135C2211yescharacteristic
44C2×#14579135C2211yescharacteristic
45C2×#14579135C2211yescharacteristic
46C2×#14579134C2211yescharacteristic
47C2×#14579133C2211yescharacteristic
48C2×#14579131C2211yescharacteristic
49C2×#14579131C2211yescharacteristic
50C2×#14579129C2211yescharacteristic
51C2×#14579129C2211yescharacteristic
52C2×C4×D316C2211yescharacteristic, complemented
53C22×(C2×D79)⋊C4C2211yescharacteristic
54#19098505C2211yescharacteristic, complemented
55#19098504C2211yescharacteristic, complemented
56#19098502C2211yescharacteristic, complemented
57#19098499C2211yescharacteristic, complemented
58#19098495C2211yescharacteristic, complemented
59#19098494C2211yescharacteristic, complemented
60#19098492C2211yescharacteristic
61#19098491C2211yescharacteristic
62#19098490C2211yescharacteristic
63#19098489C2211yescharacteristic
64#19098489C2211yescharacteristic
65#19098489C2211yescharacteristic, complemented
66#19098486C2211yescharacteristic
67#19098486C2211yescharacteristic, complemented
68#19098485C2211yescharacteristic
69#19098485C2211yescharacteristic
70#19098484C2211yescharacteristic, complemented
71#19098481C2211yescharacteristic
72#19098481C2211yescharacteristic
73#19098480C2211yescharacteristic
74#19098480C2211yescharacteristic
75#19098480C2211yescharacteristic, complemented
76#19098479C2211yescharacteristic
77#19098479C2211yescharacteristic
78#19098479C2211yescharacteristic
79#19098479C2211yescharacteristic
80#19098479C2211yescharacteristic
81#19098478C2211yescharacteristic
82#19098478C2211yescharacteristic
83#19098478C2211yescharacteristic, complemented
84#19098477C2211yescharacteristic
85#19098476C2211yescharacteristic
86#19098476C2211yescharacteristic
87#19098475C2211yescharacteristic
88#19098475C2211yescharacteristic, complemented
89#19098475C2211yescharacteristic, complemented
90#19098473C2211yescharacteristic
91#19098473C2211yescharacteristic
92#19098472C2211yescharacteristic
93#19098472C2211yescharacteristic
94#19098472C2211yescharacteristic
95#19098472C2211yescharacteristic
96#19098472C2211yescharacteristic, complemented
97#19098471C2211yescharacteristic
98#19098471C2211yescharacteristic
99#19098471C2211yescharacteristic
100#19098471C2211yescharacteristic, complemented
101#19098471C2211yescharacteristic, complemented
102#19098469C2211yescharacteristic, complemented
103#19098467C2211yescharacteristic, complemented
104#19098466C2211yescharacteristic
105#19098465C2211yescharacteristic
106#19098465C2211yescharacteristic
107#19098465C2211yescharacteristic
108#19098464C2211yescharacteristic, complemented
109#19098463C2211yescharacteristic
110#19098463C2211yescharacteristic
111#19098463C2211yescharacteristic
112#19098461C2211yescharacteristic, complemented
113#19098461C2211yescharacteristic, complemented
114#19098456C2211yescharacteristic, complemented
115#19098455C2211yescharacteristic
116#19098455C2211yescharacteristic
117#19098455C2211yescharacteristic, complemented
118#19098454C2211yescharacteristic
119#19098454C2211yescharacteristic
120#19098454C2211yescharacteristic
121#19098454C2211yescharacteristic
122#19098454C2211yescharacteristic
123#19098454C2211yescharacteristic
124#19098454C2211yescharacteristic
125#19098454C2211yescharacteristic, complemented
126#19098454C2211yescharacteristic, complemented
127#19098454C2211yescharacteristic, complemented
128#19098454C2211yescharacteristic, complemented
129#19098454C2211yescharacteristic, complemented
130#19098453C2211yescharacteristic
131#19098453C2211yescharacteristic
132#19098453C2211yescharacteristic
133#19098453C2211yescharacteristic, complemented
134#19098452C2211yescharacteristic, complemented
135#19098451C2211yescharacteristic, complemented
136#19098450C2211yescharacteristic, complemented
137#19098450C2211yescharacteristic, complemented
138#19098444C2211yescharacteristic, complemented
139#19098444C2211yescharacteristic, complemented
140#19098443C2211yescharacteristic
141#19098442C2211yescharacteristic
142#19098442C2211yescharacteristic
143#19098442C2211yescharacteristic
144#19098442C2211yescharacteristic
145#19098442C2211yescharacteristic
146#19098442C2211yescharacteristic
147#19098442C2211yescharacteristic, complemented
148#19098442C2211yescharacteristic, complemented
149#19098442C2211yescharacteristic, complemented
150#19098442C2211yescharacteristic, complemented
151#19098441C2211yescharacteristic
152#19098441C2211yescharacteristic
153#19098440C2211yescharacteristic
154#19098439C2211yescharacteristic
155#19098439C2211yescharacteristic
156#19098439C2211yescharacteristic, complemented
157#19098439C2211yescharacteristic, complemented
158#19098438C2211yescharacteristic
159#19098437C2211yescharacteristic, complemented
160#19098437C2211yescharacteristic, complemented
161#19098435C2211yescharacteristic
162#19098431C2211yescharacteristic, complemented
163#19098429C2211yescharacteristic, complemented
164#19098428C2211yescharacteristic, complemented
165#19098427C2211yescharacteristic, complemented
166#19098426C2211yescharacteristic, complemented
167#19098423C2211yescharacteristic, complemented
168#19098418C2211yescharacteristic
169#19098418C2211yescharacteristic
170C4×C22⋊Dic79C2211yescharacteristic
171#19098409C2211yescharacteristic, complemented
172C2×#121×C79C2211yescharacteristic
173C2×C4×D4×C79C2211yescharacteristic
174C2×C4×D4×C79C2211yescharacteristic
175C2×C4×D4×C79C2211yescharacteristic, complemented
176C22×C42×C79C2211yescharacteristic, complemented
177#390×C79C2211yescharacteristic
178#389×C79C2211yescharacteristic, complemented
179#388×C79C2211yescharacteristic
180#388×C79C2211yescharacteristic, complemented
181#386×C79C2211yescharacteristic
182#386×C79C2211yescharacteristic, complemented
183#380×C79C2211yescharacteristic, complemented
184C4×C4⋊C4×C79C2211yescharacteristic, complemented
185C4×C22⋊C4×C79C2211yescharacteristic
186C4×C22⋊C4×C79C2211yescharacteristic, complemented
187C24×D79C2311yescharacteristic
188C22×Dic158C2311yescharacteristic
189C22×Dic158C2311yescharacteristic
190C22×D316C2311yescharacteristic
191C22×D316C2311yescharacteristic
192C22×D316C2311yescharacteristic
193C22×D316C2311yescharacteristic
194C22×D316C2311yescharacteristic
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
204C22×C22⋊D79C2311yescharacteristic
205C23×Dic79C2311yescharacteristic
206C22×C4×D79C2311yescharacteristic
207C22×C4×D79C2311yescharacteristic
208#14579157—24no—
209#14579149—42no—
210#14579149—42no—
211#14579147—42no—
212#14579146—42no—
213#14579144—42no—
214#14579144—42no—
215#14579143—42no—
216#14579140—42no—
217#14579139—42no—
218#14579138—42no—
219#14579135—42no—
220#14579135—42no—
221#14579135—42no—
222#14579134—42no—
223#14579133—42no—
224#14579131—42no—
225#14579131—42no—
226#14579129—24no—
227#14579129—42no—
228C4×D316—42no—
229C2×C4⋊Dic79C2311yescharacteristic
230C2×C4⋊Dic79C2311yescharacteristic
231C2×C4⋊Dic79C2311yescharacteristic
232C2×C4⋊Dic79C2311yescharacteristic
233C2×C4⋊Dic79C2311yescharacteristic
234C2×C4⋊Dic79C2311yescharacteristic
235C2×C4⋊Dic79C2311yescharacteristic
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×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×(C2×D79)⋊C4—42no—
259C2×(C2×D79)⋊C4C2311yescharacteristic
260C2×(C2×D79)⋊C4C2311yescharacteristic
261C2×(C2×D79)⋊C4C2311yescharacteristic
262C2×(C2×D79)⋊C4C2311yescharacteristic
263C2×(C2×D79)⋊C4C2311yescharacteristic
264C2×(C2×D79)⋊C4C2311yescharacteristic
265C2×(C2×D79)⋊C4C2311yescharacteristic
266C2×(C2×D79)⋊C4C2311yescharacteristic
267C2×(C2×D79)⋊C4C2311yescharacteristic
268C2×(C2×D79)⋊C4C2311yescharacteristic
269C2×(C2×D79)⋊C4C2311yescharacteristic
270C2×(C2×D79)⋊C4C2311yescharacteristic
271C2×(C2×D79)⋊C4C2311yescharacteristic
272C2×(C2×D79)⋊C4C2311yescharacteristic
273C2×(C2×D79)⋊C4C2311yescharacteristic
274C2×(C2×D79)⋊C4C2311yescharacteristic
275C2×(C2×D79)⋊C4C2311yescharacteristic
276C2×(C2×D79)⋊C4C2311yescharacteristic
277C2×(C2×D79)⋊C4C2311yescharacteristic
278C2×(C2×D79)⋊C4C2311yescharacteristic
279C2×(C2×D79)⋊C4C2311yescharacteristic
280C2×(C2×D79)⋊C4C2311yescharacteristic
281C2×(C2×D79)⋊C4C2311yescharacteristic
282C2×(C2×D79)⋊C4C2311yescharacteristic
283C2×(C2×D79)⋊C4C2311yescharacteristic
284C2×(C2×D79)⋊C4C2311yescharacteristic
285C2×(C2×D79)⋊C4C2311yescharacteristic
286C2×(C2×D79)⋊C4C2311yescharacteristic
287C2×(C2×D79)⋊C4C2311yescharacteristic
288C2×(C2×D79)⋊C4C2311yescharacteristic
289C2×(C2×D79)⋊C4C2311yescharacteristic
290C2×(C2×D79)⋊C4C2311yescharacteristic
291C2×(C2×D79)⋊C4C2311yescharacteristic
292C2×(C2×D79)⋊C4C2311yescharacteristic
293C2×(C2×D79)⋊C4C2311yescharacteristic
294C2×(C2×D79)⋊C4C2311yescharacteristic
295C2×C4×Dic79C2311yescharacteristic
296C2×C4×Dic79C2311yescharacteristic
297C2×C4×Dic79C2311yescharacteristic
298C2×C4×Dic79C2311yescharacteristic
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
329C22×D4×C79C2311yescharacteristic
330C22×D4×C79C2311yescharacteristic
331C22×D4×C79C2311yescharacteristic
332C23×C4×C79C2311yescharacteristic
333C23×C4×C79C2311yescharacteristic
334C23×C4×C79C2311yescharacteristic
335C23×C4×C79C2311yescharacteristic
336C23×C4×C79C2311yescharacteristic
337#121×C79—24no—
338C4×D4×C79—42no—
339C4×D4×C79—42no—
340C4×D4×C79—42no—
341C2×C4⋊C4×C79C2311yescharacteristic
342C2×C4⋊C4×C79C2311yescharacteristic
343C2×C4⋊C4×C79C2311yescharacteristic
344C2×C4⋊C4×C79C2311yescharacteristic
345C2×C4⋊C4×C79C2311yescharacteristic
346C2×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×C42×C79—42no—
357C2×C42×C79C2311yescharacteristic
358C2×C42×C79C2311yescharacteristic
359C2×C42×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×D79—22no—
370C23×D79—41no—
371C23×D79—41no—
372C23×D79—41no—
373C23×D79—41no—
374C23×D79—41no—
375C23×D79—41no—
376C23×D79C2411yescharacteristic
377C23×D79C2411yescharacteristic
378C23×D79C2411yescharacteristic
379C23×D79C2411yescharacteristic
380C2×Dic158—22no—
381C2×Dic158—41no—
382C2×Dic158—41no—
383C2×Dic158—41no—
384C2×Dic158—41no—
385C2×Dic158—41no—
386C2×D316—22no—
387C2×D316—22no—
388C2×D316—22no—
389C2×D316—41no—
390C2×D316—41no—
391C2×D316—41no—
392C2×D316—41no—
393C2×D316—41no—
394C2×D316—41no—
395C2×D316—41no—
396C2×D316—41no—
397C2×D316—41no—
398C2×D316—41no—
399C2×D316—41no—
400C2×D316—41no—
401C2×C22⋊D79—22no—
402C2×C22⋊D79—22no—
403C2×C22⋊D79—22no—
404C2×C22⋊D79—22no—
405C2×C22⋊D79—22no—
406C2×C22⋊D79—22no—
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—
423C2×C22⋊D79—41no—
424C2×C22⋊D79—41no—
425C2×C22⋊D79—41no—
426C2×C22⋊D79—41no—
427C2×C22⋊D79—41no—
428C2×C22⋊D79—41no—
429C2×C22⋊D79—41no—
430C2×C22⋊D79—41no—
431C22×Dic79—41no—
432C22×Dic79—41no—
433C22×Dic79—41no—
434C22×Dic79C2411yescharacteristic
435C22×Dic79C2411yescharacteristic
436C22×Dic79C2411yescharacteristic
437C22×Dic79C2411yescharacteristic
438C22×Dic79C2411yescharacteristic
439C22×Dic79C2411yescharacteristic
440C22×Dic79C2411yescharacteristic
441C22×Dic79C2411yescharacteristic
442C22×Dic79C2411yescharacteristic
443C22×Dic79C2411yescharacteristic
444C22×Dic79C2411yescharacteristic
445C22×Dic79C2411yescharacteristic
446C2×C4×D79—41no—
447C2×C4×D79—41no—
448C2×C4×D79—41no—
449C2×C4×D79—41no—
450C2×C4×D79—41no—
451C2×C4×D79—41no—
452C4⋊Dic79—22no—
453C4⋊Dic79—41no—
454C4⋊Dic79—41no—
455C4⋊Dic79—41no—
456C4⋊Dic79—41no—
457C4⋊Dic79—41no—
458C4⋊Dic79—41no—
459Dic79⋊C4—22no—
460Dic79⋊C4—22no—
461Dic79⋊C4—22no—
462Dic79⋊C4—22no—
463Dic79⋊C4—41no—
464Dic79⋊C4—41no—
465Dic79⋊C4—41no—
466Dic79⋊C4—41no—
467Dic79⋊C4—41no—
468Dic79⋊C4—41no—
469C22⋊Dic79—22no—
470C22⋊Dic79—41no—
471C22⋊Dic79—41no—
472C22⋊Dic79—41no—
473C22⋊Dic79—41no—
474C22⋊Dic79—41no—
475C22⋊Dic79—41no—
476C22⋊Dic79—41no—
477C22⋊Dic79—41no—
478C22⋊Dic79—41no—
479C22⋊Dic79—41no—
480C22⋊Dic79—41no—
481(C2×D79)⋊C4—22no—
482(C2×D79)⋊C4—22no—
483(C2×D79)⋊C4—22no—
484(C2×D79)⋊C4—22no—
485(C2×D79)⋊C4—22no—
486(C2×D79)⋊C4—22no—
487(C2×D79)⋊C4—22no—
488(C2×D79)⋊C4—22no—
489(C2×D79)⋊C4—22no—
490(C2×D79)⋊C4—22no—
491(C2×D79)⋊C4—22no—
492(C2×D79)⋊C4—22no—
493(C2×D79)⋊C4—22no—
494(C2×D79)⋊C4—22no—
495(C2×D79)⋊C4—41no—
496(C2×D79)⋊C4—41no—
497(C2×D79)⋊C4—41no—
498(C2×D79)⋊C4—41no—
499(C2×D79)⋊C4—41no—
500(C2×D79)⋊C4—41no—
501(C2×D79)⋊C4—41no—
502(C2×D79)⋊C4—41no—
503(C2×D79)⋊C4—41no—
504(C2×D79)⋊C4—41no—
505(C2×D79)⋊C4—41no—
506(C2×D79)⋊C4—41no—
507(C2×D79)⋊C4—41no—
508(C2×D79)⋊C4—41no—
509(C2×D79)⋊C4—41no—
510(C2×D79)⋊C4—41no—
511(C2×D79)⋊C4—41no—
512(C2×D79)⋊C4—41no—
513(C2×D79)⋊C4—41no—
514(C2×D79)⋊C4—41no—
515(C2×D79)⋊C4—41no—
516(C2×D79)⋊C4—41no—
517C4×Dic79—22no—
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#4114yes—
533C22×C4×C79—22no—
534C22×C4×C79—22no—
535C22×C4×C79—22no—
536C22×C4×C79—22no—
537C22×C4×C79—22no—
538C22×C4×C79—22no—
539C22×C4×C79—22no—
540C22×C4×C79—41no—
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
559C22×C4×C79C2411yescharacteristic
560C4⋊C4×C79—22no—
561C4⋊C4×C79—22no—
562C4⋊C4×C79—41no—
563C4⋊C4×C79—41no—
564C4⋊C4×C79—41no—
565C22⋊C4×C79—22no—
566C22⋊C4×C79—22no—
567C22⋊C4×C79—22no—
568C22⋊C4×C79—22no—
569C22⋊C4×C79—22no—
570C22⋊C4×C79—22no—
571C22⋊C4×C79—41no—
572C22⋊C4×C79—41no—
573C22⋊C4×C79—41no—
574C22⋊C4×C79—41no—
575C42×C79—22no—
576C42×C79—22no—
577C42×C79—22no—
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×C79C2×#4112yes—
601C23×C79C2×#4112yes—
602C23×C79C2511yescharacteristic
603C22×D79—21no—
604C22×D79—21no—
605C22×D79—21no—
606C22×D79—21no—
607C22×D79—21no—
608C22×D79—21no—
609C22×D79—21no—
610C22×D79—21no—
611C22×D79—21no—
612C22×D79—21no—
613C22×D79—21no—
614C22×D79—21no—
615C22×D79—21no—
616C22×D79—21no—
617C22×D79—21no—
618C22×D79—21no—
619C22×D79—21no—
620C22×D79—21no—
621C22×D79—21no—
622C22×D79—21no—
623C22×D79—21no—
624C22×D79—21no—
625C22×D79—21no—
626C22×D79—21no—
627C22×D79—21no—
628C22×D79—21no—
629C22×D79—21no—
630C22×D79—21no—
631C22×D79—44no—
632C22×D79—82no—
633C22×D79—82no—
634C22×D79—82no—
635C22×D79—82no—
636C22×D79—82no—
637C22×D79—82no—
638D4×C79—44no—
639D4×C79—44no—
640D4×C79—44no—
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—44no—
674C2×C4×C79—44no—
675C2×C4×C79—82no—
676C2×C4×C79—82no—
677C2×C4×C79C2×#4112yes—
678C2×C4×C79H(5,𝔽2)12yes—
679C2×C4×C79H(5,𝔽2)12yes—
680C2×C4×C79H(5,𝔽2)12yes—
681C2×C4×C79H(5,𝔽2)12yes—
682C22⋊D79—82no—
683C22⋊D79—82no—
684C22⋊D79—82no—
685C22⋊D79—82no—
686C22⋊D79—82no—
687C22⋊D79—82no—
688C22⋊D79—82no—
689C22⋊D79—82no—
690C22⋊D79—82no—
691C22⋊D79—82no—
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—21no—
726C2×Dic79—21no—
727C2×Dic79—21no—
728C2×Dic79—82no—
729D316—44no—
730D316—82no—
731D316—82no—
732D316—82no—
733D316—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×C79C22×#4111yescharacteristic
760C22×C79C2×H(5,𝔽2)11yescharacteristic
761C22×C79C2×H(5,𝔽2)11yescharacteristic
762C22×C79C2×H(5,𝔽2)11yescharacteristic
763C22×C79C2×H(5,𝔽2)11yescharacteristic
764C22×C79#58511yescharacteristic
765C22×C79#58511yescharacteristic
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—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—88no—
795C4×C79—22no—
796C4×C79—22no—
797C4×C79—22no—
798C4×C79—22no—
799C4×C79—22no—
800C4×C79—41no—
801C4×C79—41no—
802C4×C79—41no—
803C4×C79—41no—
804C4×C79—41no—
805C4×C79—41no—
806C4×C79—41no—
807Dic79—41no—
808Dic79—41no—
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#345911yescharacteristic
824C2×C79#351411yescharacteristic
825C2×C79#351911yescharacteristic
826C2×C79#353411yescharacteristic
827C2×C79#354211yescharacteristic
828C2×C79#354911yescharacteristic
829C2×C79#356211yescharacteristic
830D79—81no—
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#2321—791no—
864C4×#121D7911yescharacteristic, complemented
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×#121C2×D7911yescharacteristic
883C2×#120—791no—
884C2×#120—791no—
885C2×#120—791no—
886C2×#120—791no—
887C2×C4×D4—791no—
888C2×C4×D4C2×D7911yescharacteristic
889C2×C4×D4C2×D7911yescharacteristic
890C2×C4×D4C2×D7911yescharacteristic, complemented
891C22×C22⋊C4—791no—
892C22×C42C2×D7911yescharacteristic, complemented
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#390—791no—
951#390C2×D7911yescharacteristic
952#389—791no—
953#389—791no—
954#389C2×D7911yescharacteristic, complemented
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#388—791no—
976#388—791no—
977#388C2×D7911yescharacteristic
978#388C2×D7911yescharacteristic, complemented
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#386—791no—
1001#386C2×D7911yescharacteristic
1002#386C2×D7911yescharacteristic, complemented
1003#385—791no—
1004#385—791no—
1005#385—791no—
1006#385—791no—
1007#383—791no—
1008#382—791no—
1009#382—791no—
1010#382—791no—
1011#381—791no—
1012#380—791no—
1013#380C2×D7911yescharacteristic, complemented
1014#379—791no—
1015#379—791no—
1016C4×C4⋊C4C2×D7911yescharacteristic, complemented
1017C4×C22⋊C4—791no—
1018C4×C22⋊C4C2×D7911yescharacteristic
1019C4×C22⋊C4C2×D7911yescharacteristic, complemented
1020#376—791no—
1021C25—791no—
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×C4C22×D7911yescharacteristic
1046C23×C4C22×D7911yescharacteristic
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—24no—
1062#121—3162no—
1063#121—3162no—
1064#121—3162no—
1065#121—3162no—
1066#121—3162no—
1067#120—3162no—
1068#120—3162no—
1069#120—3162no—
1070#120—1584no—
1071C4×D4—42no—
1072C4×D4—42no—
1073C4×D4—42no—
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⋊C4C22×D7911yescharacteristic
1093C2×C4⋊C4C22×D7911yescharacteristic
1094C2×C4⋊C4C22×D7911yescharacteristic
1095C2×C4⋊C4C22×D7911yescharacteristic
1096C2×C4⋊C4C22×D7911yescharacteristic
1097C2×C22⋊C4—3162no—
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⋊C4—791no—
1141C2×C22⋊C4—791no—
1142C2×C22⋊C4—791no—
1143C2×C22⋊C4—791no—
1144C2×C22⋊C4—791no—
1145C2×C22⋊C4—791no—
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—42no—
1157C2×C42—791no—
1158C2×C42—791no—
1159C2×C42—791no—
1160C2×C42—791no—
1161C2×C42C22×D7911yescharacteristic
1162C2×C42C22×D7911yescharacteristic
1163C2×C42C22×D7911yescharacteristic
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—3161no—
1204C24—3161no—
1205C24—3161no—
1206C24—3161no—
1207C24—3161no—
1208C24—3161no—
1209C24—791no—
1210C24—791no—
1211C24—791no—
1212C24—791no—
1213C24—1582no—
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—22no—
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—3161no—
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—22no—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—41no—
1285C22×C4—41no—
1286C22×C4—41no—
1287C22×C4—41no—
1288C22×C4—41no—
1289C22×C4—41no—
1290C22×C4—41no—
1291C22×C4—41no—
1292C22×C4—3161no—
1293C22×C4—3161no—
1294C22×C4—3161no—
1295C22×C4—3161no—
1296C22×C4—3161no—
1297C22×C4—3161no—
1298C22×C4—3161no—
1299C22×C4—3161no—
1300C22×C4—3161no—
1301C22×C4—791no—
1302C22×C4—791no—
1303C22×C4—791no—
1304C22×C4—791no—
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×C4C23×D7911yescharacteristic
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—22no—
1326C4⋊C4—22no—
1327C4⋊C4—41no—
1328C4⋊C4—41no—
1329C4⋊C4—41no—
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—3161no—
1341C4⋊C4—3161no—
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—22no—
1353C22⋊C4—41no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
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—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—3161no—
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—22no—
1407C42—22no—
1408C42—22no—
1409C42—41no—
1410C42—41no—
1411C42—3161no—
1412C42—3161no—
1413C42—3161no—
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—3164no—
1435C23—6322no—
1436C23—6322no—
1437C23—6322no—
1438C23—6322no—
1439C23—6322no—
1440C23—6322no—
1441C23—1581no—
1442C23—1581no—
1443C23—1581no—
1444C23—1581no—
1445C23—1581no—
1446C23—1581no—
1447C23—1581no—
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—44no—
1476D4—44no—
1477D4—3164no—
1478D4—6322no—
1479D4—6322no—
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—44no—
1525C2×C4—44no—
1526C2×C4—82no—
1527C2×C4—82no—
1528C2×C4—6322no—
1529C2×C4—6322no—
1530C2×C4—6322no—
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—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×C4C2×#1192962412yes—
1568C2×C4#1457920612yes—
1569C2×C4#1457920612yes—
1570C2×C4#1457920712yes—
1571C2×C4#1457920712yes—
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—3161no—
1594C22—3161no—
1595C22—3161no—
1596C22—3161no—
1597C22—3161no—
1598C22—3161no—
1599C22—3161no—
1600C22—3161no—
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—6328no—
1622C22C22×#1192962411yescharacteristic
1623C22C2×#1457920611yescharacteristic
1624C22C2×#1457920611yescharacteristic
1625C22C2×#1457920711yescharacteristic
1626C22C2×#1457920711yescharacteristic
1627C22#1909939911yescharacteristic
1628C22#1909939911yescharacteristic
1629C4—22no—
1630C4—22no—
1631C4—22no—
1632C4—22no—
1633C4—22no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—3161no—
1642C4—3161no—
1643C4—3161no—
1644C4—3161no—
1645C4—3161no—
1646C4—3161no—
1647C4—3161no—
1648C4—3161no—
1649C4—3161no—
1650C4—3161no—
1651C4—3161no—
1652C4—3161no—
1653C2—42no—
1654C2—42no—
1655C2—81no—
1656C2—6321no—
1657C2—6321no—
1658C2—6321no—
1659C2—6321no—
1660C2#2377680911yescharacteristic
1661C2#2377736111yescharacteristic
1662C2#2377743211yescharacteristic
1663C2#2377758411yescharacteristic
1664C2#2377772011yescharacteristic
1665C2#2377780511yescharacteristic
1666C2#2377798011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC4×#121×C79C2
hypercenterC4×#121D79
hypocenterC79#36918
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ C4×#121

Complements

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

NH ≅ G/Ntype
1. #23771731C2semidirect
2. #23771701C2semidirect
3. #23771327C2semidirect
4. #23771105C2semidirect
5. #23771081C2semidirect
6. #23771077C2semidirect
7. #23770427C2semidirect
8. #23770088C2semidirect
9. #23770047C2semidirect
10. #23769950C2semidirect
11. #23769900C2semidirect
12. #23769781C2semidirect
13. #23769749C2semidirect
14. #23769728C2semidirect
15. #23769722C2semidirect
16. #23769705C2semidirect
17. #23769662C2semidirect
18. #23769618C2semidirect
19. #23769284C2semidirect
20. #23769252C2semidirect
21. #23768262C2semidirect
22. #23768172C2semidirect
23. #23768052C2semidirect
24. #23767526C2semidirect
25. #23767406C2semidirect
26. #23767367C2semidirect
27. #23767331C2semidirect
28. #23766930C2semidirect
29. #23766122C2semidirect
30. #23766054C2semidirect
31. C4×#121×C79C2semidirect
35. C2×#14579147C22semidirect
38. C2×#14579144C22semidirect
39. C2×#14579143C22semidirect
40. C2×#14579140C22semidirect
41. C2×#14579139C22semidirect
52. C2×C4×D316C22semidirect
54. #19098505C22semidirect
55. #19098504C22semidirect
56. #19098502C22semidirect
57. #19098499C22semidirect
58. #19098495C22semidirect
59. #19098494C22semidirect
65. #19098489C22semidirect
67. #19098486C22semidirect
70. #19098484C22semidirect
75. #19098480C22semidirect
83. #19098478C22semidirect
88. #19098475C22semidirect
89. #19098475C22semidirect
96. #19098472C22semidirect
100. #19098471C22semidirect
101. #19098471C22semidirect
102. #19098469C22semidirect
103. #19098467C22semidirect
108. #19098464C22semidirect
112. #19098461C22semidirect
113. #19098461C22semidirect
114. #19098456C22semidirect
117. #19098455C22semidirect
125. #19098454C22semidirect
126. #19098454C22semidirect
127. #19098454C22semidirect
128. #19098454C22semidirect
129. #19098454C22semidirect
133. #19098453C22semidirect
134. #19098452C22semidirect
135. #19098451C22semidirect
136. #19098450C22semidirect
137. #19098450C22semidirect
138. #19098444C22semidirect
139. #19098444C22semidirect
147. #19098442C22semidirect
148. #19098442C22semidirect
149. #19098442C22semidirect
150. #19098442C22semidirect
156. #19098439C22semidirect
157. #19098439C22semidirect
159. #19098437C22semidirect
160. #19098437C22semidirect
162. #19098431C22semidirect
163. #19098429C22semidirect
164. #19098428C22semidirect
165. #19098427C22semidirect
166. #19098426C22semidirect
167. #19098423C22semidirect
171. #19098409C22semidirect
175. C2×C4×D4×C79C22semidirect
176. C22×C42×C79C22semidirect
178. #389×C79C22semidirect
180. #388×C79C22semidirect
182. #386×C79C22semidirect
183. #380×C79C22semidirect
184. C4×C4⋊C4×C79C22semidirect
186. C4×C22⋊C4×C79C22semidirect
864. C4×#121D79semidirect
865. C79#36918semidirect
890. C2×C4×D4C2×D79semidirect
892. C22×C42C2×D79semidirect
954. #389C2×D79semidirect
978. #388C2×D79semidirect
1002. #386C2×D79semidirect
1013. #380C2×D79semidirect
1016. C4×C4⋊C4C2×D79semidirect
1019. C4×C22⋊C4C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237717312
#237717012
#237713272
#237711052
#237710812
#237710772
#237704272
#237700882
#237700472
#237699502
#237699002
#237697812
#237697492
#237697282
#237697222
#237697052
#237696622
#237696182
#237692842
#237692522
#237682622
#237681722
#237680522
#237675262
#237674062
#237673672
#237673312
#237669302
#237661222
#237660542
C4×#121×C792
#3691879