Finite Group Databasebeta

← #34500980

Subgroups — #34500980

Order 20224.

2000 conjugacy classes of subgroups.

The subgroup lattice has 1666 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23771730C211yesmaximal, characteristic, complemented
2#23771698C211yesmaximal, characteristic, complemented
3#23771304C211yesmaximal, characteristic, complemented
4#23771012C211yesmaximal, characteristic, complemented
5#23770878C211yesmaximal, characteristic, complemented
6#23770744C211yesmaximal, characteristic, complemented
7#23770721C211yesmaximal, characteristic, complemented
8#23770679C211yesmaximal, characteristic, complemented
9#23770149C211yesmaximal, characteristic, complemented
10#23770039C211yesmaximal, characteristic, complemented
11#23770034C211yesmaximal, characteristic, complemented
12#23769787C211yesmaximal, characteristic, complemented
13#23769695C211yesmaximal, characteristic, complemented
14#23769671C211yesmaximal, characteristic, complemented
15#23769642C211yesmaximal, characteristic, complemented
16#23769622C211yesmaximal, characteristic, complemented
17#23769614C211yesmaximal, characteristic, complemented
18#23769604C211yesmaximal, characteristic, complemented
19#23769529C211yesmaximal, characteristic, complemented
20#23769465C211yesmaximal, characteristic, complemented
21#23768932C211yesmaximal, characteristic, complemented
22#23768457C211yesmaximal, characteristic, complemented
23#23767411C211yesmaximal, characteristic, complemented
24#23767294C211yesmaximal, characteristic, complemented
25#23767277C211yesmaximal, characteristic, complemented
26#23767162C211yesmaximal, characteristic, complemented
27#23766862C211yesmaximal, characteristic, complemented
28#23766209C211yesmaximal, characteristic, complemented
29#23766058C211yesmaximal, characteristic, complemented
30C4×#14579132C211yesmaximal, characteristic, complemented
31C79×#2424C211yesmaximal, characteristic, complemented
32C2×#14579157C2211yescharacteristic
33C2×#14579154C2211yescharacteristic
34C2×#14579148C2211yescharacteristic
35C2×#14579147C2211yescharacteristic
36C2×#14579145C2211yescharacteristic, complemented
37C2×#14579144C2211yescharacteristic, complemented
38C2×#14579143C2211yescharacteristic
39C2×#14579143C2211yescharacteristic, complemented
40C2×#14579143C2211yescharacteristic, complemented
41C2×#14579139C2211yescharacteristic, complemented
42C2×#14579134C2211yescharacteristic
43C2×#14579134C2211yescharacteristic, complemented
44C2×#14579133C2211yescharacteristic
45C2×#14579132C2211yescharacteristic
46C2×#14579132C2211yescharacteristic
47C2×#14579130C2211yescharacteristic
48C2×#14579130C2211yescharacteristic
49C2×C4×C22⋊D79C2211yescharacteristic
50C2×C4×C22⋊D79C2211yescharacteristic
51C2×C4×C22⋊D79C2211yescharacteristic, complemented
52C2×C42×D79C2211yescharacteristic, complemented
53C79⋊#401C2211yescharacteristic, complemented
54#19098505C2211yescharacteristic, complemented
55#19098502C2211yescharacteristic, complemented
56#19098499C2211yescharacteristic
57#19098499C2211yescharacteristic
58#19098499C2211yescharacteristic
59#19098497C2211yescharacteristic, complemented
60#19098496C2211yescharacteristic, complemented
61#19098494C2211yescharacteristic, complemented
62#19098493C2211yescharacteristic, complemented
63#19098491C2211yescharacteristic
64#19098491C2211yescharacteristic
65#19098489C2211yescharacteristic, complemented
66#19098488C2211yescharacteristic
67#19098488C2211yescharacteristic, complemented
68#19098486C2211yescharacteristic
69#19098486C2211yescharacteristic, complemented
70#19098481C2211yescharacteristic, complemented
71#19098479C2211yescharacteristic
72#19098479C2211yescharacteristic
73#19098479C2211yescharacteristic
74#19098479C2211yescharacteristic, complemented
75#19098478C2211yescharacteristic
76#19098478C2211yescharacteristic
77#19098477C2211yescharacteristic
78#19098477C2211yescharacteristic
79#19098477C2211yescharacteristic
80#19098477C2211yescharacteristic
81#19098477C2211yescharacteristic
82#19098477C2211yescharacteristic
83#19098477C2211yescharacteristic
84#19098477C2211yescharacteristic, complemented
85#19098475C2211yescharacteristic
86#19098475C2211yescharacteristic, complemented
87#19098472C2211yescharacteristic
88#19098471C2211yescharacteristic
89#19098471C2211yescharacteristic
90#19098471C2211yescharacteristic
91#19098471C2211yescharacteristic
92#19098471C2211yescharacteristic
93#19098471C2211yescharacteristic
94#19098471C2211yescharacteristic
95#19098471C2211yescharacteristic, complemented
96#19098471C2211yescharacteristic, complemented
97#19098467C2211yescharacteristic, complemented
98#19098467C2211yescharacteristic, complemented
99#19098466C2211yescharacteristic
100#19098466C2211yescharacteristic
101#19098466C2211yescharacteristic
102#19098463C2211yescharacteristic
103#19098463C2211yescharacteristic
104#19098463C2211yescharacteristic
105#19098463C2211yescharacteristic, complemented
106#19098463C2211yescharacteristic, complemented
107#19098462C2211yescharacteristic, complemented
108#19098461C2211yescharacteristic, complemented
109#19098460C2211yescharacteristic, complemented
110#19098459C2211yescharacteristic, complemented
111#19098458C2211yescharacteristic, complemented
112#19098457C2211yescharacteristic
113#19098457C2211yescharacteristic
114#19098457C2211yescharacteristic
115#19098457C2211yescharacteristic
116#19098457C2211yescharacteristic
117#19098457C2211yescharacteristic, complemented
118#19098457C2211yescharacteristic, complemented
119#19098456C2211yescharacteristic
120#19098456C2211yescharacteristic
121#19098456C2211yescharacteristic
122#19098456C2211yescharacteristic
123#19098456C2211yescharacteristic, complemented
124#19098456C2211yescharacteristic, complemented
125#19098454C2211yescharacteristic, complemented
126#19098453C2211yescharacteristic, complemented
127#19098453C2211yescharacteristic, complemented
128#19098453C2211yescharacteristic, complemented
129#19098452C2211yescharacteristic, complemented
130#19098451C2211yescharacteristic
131#19098451C2211yescharacteristic
132#19098451C2211yescharacteristic
133#19098451C2211yescharacteristic
134#19098451C2211yescharacteristic, complemented
135#19098451C2211yescharacteristic, complemented
136#19098449C2211yescharacteristic, complemented
137#19098448C2211yescharacteristic, complemented
138#19098445C2211yescharacteristic, complemented
139#19098443C2211yescharacteristic
140#19098443C2211yescharacteristic
141#19098443C2211yescharacteristic, complemented
142#19098442C2211yescharacteristic
143#19098442C2211yescharacteristic
144#19098441C2211yescharacteristic, complemented
145#19098441C2211yescharacteristic, complemented
146#19098439C2211yescharacteristic
147#19098439C2211yescharacteristic
148#19098439C2211yescharacteristic
149#19098439C2211yescharacteristic
150#19098439C2211yescharacteristic
151#19098439C2211yescharacteristic
152#19098439C2211yescharacteristic, complemented
153#19098439C2211yescharacteristic, complemented
154#19098437C2211yescharacteristic, complemented
155#19098436C2211yescharacteristic
156#19098436C2211yescharacteristic
157#19098436C2211yescharacteristic, complemented
158#19098435C2211yescharacteristic, complemented
159#19098434C2211yescharacteristic, complemented
160#19098430C2211yescharacteristic, complemented
161#19098427C2211yescharacteristic, complemented
162#19098423C2211yescharacteristic
163#19098420C2211yescharacteristic, complemented
164#19098420C2211yescharacteristic, complemented
165#19098419C2211yescharacteristic
166#19098419C2211yescharacteristic
167C4×C4⋊Dic79C2211yescharacteristic, complemented
168#19098414C2211yescharacteristic, complemented
169C22⋊C4×Dic79C2211yescharacteristic, complemented
170C4×C22⋊Dic79C2211yescharacteristic
171C4×C22⋊Dic79C2211yescharacteristic, complemented
172C2×#121×C79C2211yescharacteristic
173C2×#121×C79C2211yescharacteristic
174C2×#120×C79C2211yescharacteristic
175C2×#120×C79C2211yescharacteristic
176C2×C4×D4×C79C2211yescharacteristic
177C22×C22⋊C4×C79C2211yescharacteristic
178#396×C79C2211yescharacteristic
179#394×C79C2211yescharacteristic
180#394×C79C2211yescharacteristic
181#392×C79C2211yescharacteristic
182#390×C79C2211yescharacteristic
183#388×C79C2211yescharacteristic
184#386×C79C2211yescharacteristic
185#386×C79C2211yescharacteristic
186#385×C79C2211yescharacteristic
187C22×Dic158C2311yescharacteristic
188C22×D316C2311yescharacteristic
189C22×C22⋊D79C2311yescharacteristic
190C22×C22⋊D79C2311yescharacteristic
191C22×C22⋊D79C2311yescharacteristic
192C22×C22⋊D79C2311yescharacteristic
193C22×C22⋊D79C2311yescharacteristic
194C22×C22⋊D79C2311yescharacteristic
195C22×C22⋊D79C2311yescharacteristic
196C22×C22⋊D79C2311yescharacteristic
197C22×C22⋊D79C2311yescharacteristic
198C22×C22⋊D79C2311yescharacteristic
199C23×Dic79C2311yescharacteristic
200C22×C4×D79C2311yescharacteristic
201C22×C4×D79C2311yescharacteristic
202C22×C4×D79C2311yescharacteristic
203C22×C4×D79C2311yescharacteristic
204#14579157—42no—
205#14579154—42no—
206#14579148—24no—
207#14579147—42no—
208#14579145—42no—
209#14579144—42no—
210#14579143—42no—
211#14579143—42no—
212#14579143—42no—
213#14579139—42no—
214#14579134—42no—
215#14579134—42no—
216#14579133—42no—
217#14579132—24no—
218#14579132—42no—
219#14579130—24no—
220#14579130—42no—
221C4×C22⋊D79—42no—
222C4×C22⋊D79—42no—
223C4×C22⋊D79—42no—
224C2×C4⋊Dic79C2311yescharacteristic
225C2×C4⋊Dic79C2311yescharacteristic
226C2×C4⋊Dic79C2311yescharacteristic
227C2×C4⋊Dic79C2311yescharacteristic
228C2×C4⋊Dic79C2311yescharacteristic
229C2×C4⋊Dic79C2311yescharacteristic
230C2×C4⋊Dic79C2311yescharacteristic
231C2×Dic79⋊C4C2311yescharacteristic
232C2×Dic79⋊C4C2311yescharacteristic
233C2×Dic79⋊C4C2311yescharacteristic
234C2×Dic79⋊C4C2311yescharacteristic
235C2×Dic79⋊C4C2311yescharacteristic
236C2×Dic79⋊C4C2311yescharacteristic
237C2×Dic79⋊C4C2311yescharacteristic
238C2×Dic79⋊C4C2311yescharacteristic
239C2×Dic79⋊C4C2311yescharacteristic
240C2×Dic79⋊C4C2311yescharacteristic
241C2×Dic79⋊C4C2311yescharacteristic
242C2×Dic79⋊C4C2311yescharacteristic
243C2×Dic79⋊C4C2311yescharacteristic
244C2×Dic79⋊C4C2311yescharacteristic
245C2×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×C22⋊Dic79C2311yescharacteristic
265C2×C22⋊Dic79C2311yescharacteristic
266C2×C22⋊Dic79C2311yescharacteristic
267C2×C22⋊Dic79C2311yescharacteristic
268C2×C22⋊Dic79C2311yescharacteristic
269C2×C22⋊Dic79C2311yescharacteristic
270C2×C22⋊Dic79C2311yescharacteristic
271C2×C22⋊Dic79C2311yescharacteristic
272C2×C22⋊Dic79C2311yescharacteristic
273C2×C22⋊Dic79C2311yescharacteristic
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×C4×Dic79C2311yescharacteristic
289C2×C4×Dic79C2311yescharacteristic
290C2×C4×Dic79C2311yescharacteristic
291C2×C4×Dic79C2311yescharacteristic
292C2×C4×Dic79C2311yescharacteristic
293C2×C4×Dic79C2311yescharacteristic
294C2×C4×Dic79C2311yescharacteristic
295C2×C4×Dic79C2311yescharacteristic
296C2×C4×Dic79C2311yescharacteristic
297C42×D79—42no—
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
328C25×C79C2311yescharacteristic
329C22×D4×C79C2311yescharacteristic
330C22×D4×C79C2311yescharacteristic
331C22×D4×C79C2311yescharacteristic
332C22×D4×C79C2311yescharacteristic
333C22×D4×C79C2311yescharacteristic
334C22×D4×C79C2311yescharacteristic
335C22×D4×C79C2311yescharacteristic
336C23×C4×C79C2311yescharacteristic
337C23×C4×C79C2311yescharacteristic
338C23×C4×C79C2311yescharacteristic
339#121×C79—42no—
340#121×C79—42no—
341#120×C79—42no—
342#120×C79—42no—
343C4×D4×C79—42no—
344C2×C4⋊C4×C79C2311yescharacteristic
345C2×C4⋊C4×C79C2311yescharacteristic
346C2×C4⋊C4×C79C2311yescharacteristic
347C2×C4⋊C4×C79C2311yescharacteristic
348C2×C22⋊C4×C79—42no—
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×C22⋊C4×C79C2311yescharacteristic
363C2×C22⋊C4×C79C2311yescharacteristic
364C2×C42×C79C2311yescharacteristic
365#95×C79C2311yescharacteristic
366#95×C79C2311yescharacteristic
367#95×C79C2311yescharacteristic
368#95×C79C2311yescharacteristic
369C23×D79C2411yescharacteristic
370C23×D79C2411yescharacteristic
371C2×Dic158—22no—
372C2×Dic158—41no—
373C2×Dic158—41no—
374C2×D316—22no—
375C2×D316—41no—
376C2×D316—41no—
377C2×C22⋊D79—22no—
378C2×C22⋊D79—22no—
379C2×C22⋊D79—22no—
380C2×C22⋊D79—22no—
381C2×C22⋊D79—22no—
382C2×C22⋊D79—22no—
383C2×C22⋊D79—22no—
384C2×C22⋊D79—22no—
385C2×C22⋊D79—22no—
386C2×C22⋊D79—22no—
387C2×C22⋊D79—41no—
388C2×C22⋊D79—41no—
389C2×C22⋊D79—41no—
390C2×C22⋊D79—41no—
391C2×C22⋊D79—41no—
392C2×C22⋊D79—41no—
393C2×C22⋊D79—41no—
394C2×C22⋊D79—41no—
395C2×C22⋊D79—41no—
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—
407C22×Dic79—41no—
408C22×Dic79—41no—
409C22×Dic79—41no—
410C22×Dic79C2411yescharacteristic
411C22×Dic79C2411yescharacteristic
412C22×Dic79C2411yescharacteristic
413C22×Dic79C2411yescharacteristic
414C22×Dic79C2411yescharacteristic
415C22×Dic79C2411yescharacteristic
416C22×Dic79C2411yescharacteristic
417C22×Dic79C2411yescharacteristic
418C22×Dic79C2411yescharacteristic
419C22×Dic79C2411yescharacteristic
420C22×Dic79C2411yescharacteristic
421C22×Dic79C2411yescharacteristic
422C22×Dic79C2411yescharacteristic
423C22×Dic79C2411yescharacteristic
424C2×C4×D79—22no—
425C2×C4×D79—22no—
426C2×C4×D79—22no—
427C2×C4×D79—22no—
428C2×C4×D79—22no—
429C2×C4×D79—41no—
430C2×C4×D79—41no—
431C2×C4×D79—41no—
432C2×C4×D79—41no—
433C2×C4×D79—41no—
434C2×C4×D79—41no—
435C2×C4×D79—41no—
436C4⋊Dic79—22no—
437C4⋊Dic79—22no—
438C4⋊Dic79—22no—
439C4⋊Dic79—41no—
440C4⋊Dic79—41no—
441C4⋊Dic79—41no—
442C4⋊Dic79—41no—
443Dic79⋊C4—22no—
444Dic79⋊C4—22no—
445Dic79⋊C4—22no—
446Dic79⋊C4—41no—
447Dic79⋊C4—41no—
448Dic79⋊C4—41no—
449Dic79⋊C4—41no—
450Dic79⋊C4—41no—
451Dic79⋊C4—41no—
452Dic79⋊C4—41no—
453Dic79⋊C4—41no—
454Dic79⋊C4—41no—
455Dic79⋊C4—41no—
456Dic79⋊C4—41no—
457C22⋊Dic79—22no—
458C22⋊Dic79—22no—
459C22⋊Dic79—22no—
460C22⋊Dic79—22no—
461C22⋊Dic79—22no—
462C22⋊Dic79—22no—
463C22⋊Dic79—41no—
464C22⋊Dic79—41no—
465C22⋊Dic79—41no—
466C22⋊Dic79—41no—
467C22⋊Dic79—41no—
468C22⋊Dic79—41no—
469C22⋊Dic79—41no—
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—
481C22⋊Dic79—41no—
482C22⋊Dic79—41no—
483C22⋊Dic79—41no—
484C22⋊Dic79—41no—
485C22⋊Dic79#4114yes—
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—41no—
492(C2×D79)⋊C4—41no—
493(C2×D79)⋊C4—41no—
494(C2×D79)⋊C4—41no—
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—
500C4×Dic79—22no—
501C4×Dic79—22no—
502C4×Dic79—41no—
503C4×Dic79—41no—
504C4×Dic79—41no—
505C4×Dic79—41no—
506C4×Dic79—41no—
507C4×Dic79—41no—
508C4×Dic79—41no—
509C24×C79—22no—
510C24×C79—41no—
511C24×C79—41no—
512C24×C79—41no—
513C24×C79—41no—
514C24×C79—41no—
515C24×C79—41no—
516C24×C79C2411yescharacteristic
517C24×C79C2411yescharacteristic
518C24×C79C2411yescharacteristic
519C24×C79C2411yescharacteristic
520C24×C79C2411yescharacteristic
521C2×D4×C79—22no—
522C2×D4×C79—22no—
523C2×D4×C79—22no—
524C2×D4×C79—22no—
525C2×D4×C79—41no—
526C2×D4×C79—41no—
527C2×D4×C79—41no—
528C2×D4×C79—41no—
529C2×D4×C79—41no—
530C2×D4×C79—41no—
531C2×D4×C79—41no—
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—
542C22×C4×C79—22no—
543C22×C4×C79—22no—
544C22×C4×C79—41no—
545C22×C4×C79—41no—
546C22×C4×C79—41no—
547C22×C4×C79—41no—
548C22×C4×C79—41no—
549C22×C4×C79—41no—
550C22×C4×C79—41no—
551C22×C4×C79C2411yescharacteristic
552C22×C4×C79C2411yescharacteristic
553C22×C4×C79C2411yescharacteristic
554C22×C4×C79C2411yescharacteristic
555C22×C4×C79C2411yescharacteristic
556C22×C4×C79C2411yescharacteristic
557C22×C4×C79C2411yescharacteristic
558C22×C4×C79C2411yescharacteristic
559C22×C4×C79C2411yescharacteristic
560C22×C4×C79C2411yescharacteristic
561C4⋊C4×C79—22no—
562C4⋊C4×C79—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—22no—
572C22⋊C4×C79—22no—
573C22⋊C4×C79—22no—
574C22⋊C4×C79—41no—
575C22⋊C4×C79—41no—
576C22⋊C4×C79—41no—
577C22⋊C4×C79—41no—
578C22⋊C4×C79—41no—
579C22⋊C4×C79—41no—
580C42×C79—22no—
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—21no—
608C23×C79—21no—
609C23×C79—21no—
610C23×C79—21no—
611C23×C79—21no—
612C23×C79—21no—
613C23×C79—21no—
614C23×C79—21no—
615C23×C79—44no—
616C23×C79—82no—
617C23×C79—82no—
618C23×C79—82no—
619C23×C79—82no—
620C23×C79—82no—
621C23×C79—82no—
622C23×C79C2×#4112yes—
623C23×C79C2511yescharacteristic
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×D79H(5,𝔽2)12yes—
638D4×C79—44no—
639D4×C79—82no—
640D4×C79—82no—
641D4×C79—82no—
642D4×C79—82no—
643D4×C79—82no—
644D4×C79—82no—
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—82no—
673C2×C4×C79—82no—
674C2×C4×C79—82no—
675C2×C4×C79H(5,𝔽2)12yes—
676C2×C4×C79H(5,𝔽2)12yes—
677C2×C4×C79H(5,𝔽2)12yes—
678C22⋊D79—44no—
679C22⋊D79—44no—
680C22⋊D79—44no—
681C22⋊D79—82no—
682C22⋊D79—82no—
683C22⋊D79—82no—
684C22⋊D79—82no—
685C22⋊D79—82no—
686C22⋊D79—82no—
687C22⋊D79—82no—
688C2×Dic79—21no—
689C2×Dic79—21no—
690C2×Dic79—21no—
691C2×Dic79—21no—
692C2×Dic79—21no—
693C2×Dic79—21no—
694C2×Dic79—21no—
695C2×Dic79—21no—
696C2×Dic79—21no—
697C2×Dic79—21no—
698C2×Dic79—21no—
699C2×Dic79—21no—
700C2×Dic79—21no—
701C2×Dic79—21no—
702C2×Dic79—21no—
703C2×Dic79—21no—
704C2×Dic79—21no—
705C2×Dic79—21no—
706C2×Dic79—21no—
707C2×Dic79—21no—
708C2×Dic79—21no—
709C2×Dic79—21no—
710C2×Dic79—21no—
711C2×Dic79—21no—
712C2×Dic79—21no—
713C2×Dic79—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—
729C2×Dic79C2×#4112yes—
730C2×Dic79C2×#4112yes—
731D316—82no—
732C4×D79—44no—
733C4×D79—44no—
734C4×D79—44no—
735C4×D79—82no—
736Dic158—82no—
737C22×C79—22no—
738C22×C79—22no—
739C22×C79—22no—
740C22×C79—41no—
741C22×C79—41no—
742C22×C79—41no—
743C22×C79—41no—
744C22×C79—41no—
745C22×C79—41no—
746C22×C79—41no—
747C22×C79—41no—
748C22×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—41no—
767C22×C79—41no—
768C22×C79—41no—
769C22×C79—41no—
770C22×C79—41no—
771C22×C79—41no—
772C22×C79—88no—
773C22×C79C22×#4111yescharacteristic
774C22×C79C2×H(5,𝔽2)11yescharacteristic
775C22×C79C2×H(5,𝔽2)11yescharacteristic
776C22×C79C2×H(5,𝔽2)11yescharacteristic
777C22×C79C2×H(5,𝔽2)11yescharacteristic
778C22×C79#58511yescharacteristic
779C22×C79#58511yescharacteristic
780C2×D79—22no—
781C2×D79—22no—
782C2×D79—22no—
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—
794C4×C79—22no—
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—
804Dic79—22no—
805Dic79—22no—
806Dic79—41no—
807Dic79—41no—
808Dic79—41no—
809Dic79—41no—
810Dic79—41no—
811Dic79—41no—
812Dic79—41no—
813Dic79—41no—
814Dic79—41no—
815Dic79—41no—
816Dic79—41no—
817Dic79—41no—
818#36926—791nomaximal, Sylow
819C2×C79—42no—
820C2×C79—81no—
821C2×C79—81no—
822C2×C79—81no—
823C2×C79—81no—
824C2×C79#346011yescharacteristic
825C2×C79#351311yescharacteristic
826C2×C79#351911yescharacteristic
827C2×C79#353311yescharacteristic
828C2×C79#353711yescharacteristic
829C2×C79#354611yescharacteristic
830C2×C79#355811yescharacteristic
831D79—42no—
832D79—81no—
833#2854—791no—
834#2850—791no—
835#2801—791no—
836#2778—791no—
837#2768—791no—
838#2757—791no—
839#2756—791no—
840#2753—791no—
841#2710—791no—
842#2703—791no—
843#2702—791no—
844#2685—791no—
845#2676—791no—
846#2673—791no—
847#2671—791no—
848#2670—791no—
849#2669—791no—
850#2668—791no—
851#2661—791no—
852#2653—791no—
853#2596—791no—
854#2554—791no—
855#2464—791no—
856#2456—791no—
857#2455—791no—
858#2445—791no—
859#2424D7911yescharacteristic, complemented
860#2418—791no—
861#2337—791no—
862#2321—791no—
863C4×#121—791no—
864C79#3692611yescharacteristic, complemented, Sylow
865C2×#127—791no—
866C2×#126—791no—
867C2×#124—791no—
868C2×#124—791no—
869C2×#123—791no—
870C2×#123—791no—
871C2×#123—791no—
872C2×#123—791no—
873C2×#123—791no—
874C2×C22⋊Q8—791no—
875C2×#121—791no—
876C2×#121—791no—
877C2×#121—791no—
878C2×#121—791no—
879C2×#121—791no—
880C2×#121C2×D7911yescharacteristic
881C2×#121C2×D7911yescharacteristic
882C2×#120—791no—
883C2×#120—791no—
884C2×#120C2×D7911yescharacteristic
885C2×#120C2×D7911yescharacteristic
886C2×C4×D4—791no—
887C2×C4×D4—791no—
888C2×C4×D4—791no—
889C2×C4×D4C2×D7911yescharacteristic
890C22×C22⋊C4C2×D7911yescharacteristic
891C22×C42—791no—
892#401—791no—
893#400—791no—
894#400—791no—
895#399—791no—
896#399—791no—
897#399—791no—
898#398—791no—
899#398—791no—
900#398—791no—
901#398—791no—
902#397—791no—
903#397—791no—
904#397—791no—
905#397—791no—
906#397—791no—
907#396—791no—
908#396—791no—
909#396C2×D7911yescharacteristic
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#394—791no—
925#394C2×D7911yescharacteristic
926#394C2×D7911yescharacteristic
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#392C2×D7911yescharacteristic
940#391—791no—
941#391—791no—
942#390—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#389—791no—
952#389—791no—
953#389—791no—
954#389—791no—
955#389—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#388—791no—
978#388—791no—
979#388—791no—
980#388C2×D7911yescharacteristic
981#387—791no—
982#387—791no—
983#387—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
1001#385—791no—
1002#385—791no—
1003#385—791no—
1004#385—791no—
1005#385—791no—
1006#385—791no—
1007#385C2×D7911yescharacteristic
1008#383—791no—
1009#382—791no—
1010#380—791no—
1011#380—791no—
1012#380—791no—
1013#379—791no—
1014#379—791no—
1015C4×C4⋊C4—791no—
1016C4×C4⋊C4—791no—
1017C4×C22⋊C4—791no—
1018C4×C22⋊C4—791no—
1019C4×C22⋊C4—791no—
1020C25C22×D7911yescharacteristic
1021C22×Q8—791no—
1022C22×D4—791no—
1023C22×D4—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×D4C22×D7911yescharacteristic
1034C22×D4C22×D7911yescharacteristic
1035C22×D4C22×D7911yescharacteristic
1036C22×D4C22×D7911yescharacteristic
1037C22×D4C22×D7911yescharacteristic
1038C22×D4C22×D7911yescharacteristic
1039C22×D4C22×D7911yescharacteristic
1040C23×C4—791no—
1041C23×C4—791no—
1042C23×C4—791no—
1043C23×C4—791no—
1044C23×C4—791no—
1045C23×C4C22×D7911yescharacteristic
1046C23×C4C22×D7911yescharacteristic
1047C23×C4C22×D7911yescharacteristic
1048#127—3162no—
1049#126—3162no—
1050#124—3162no—
1051#124—1584no—
1052#123—3162no—
1053#123—3162no—
1054#123—3162no—
1055#123—3162no—
1056#123—3162no—
1057C22⋊Q8—3162no—
1058#121—42no—
1059#121—42no—
1060#121—3162no—
1061#121—3162no—
1062#121—3162no—
1063#121—3162no—
1064#121—1584no—
1065#120—42no—
1066#120—42no—
1067#120—3162no—
1068#120—1584no—
1069C4×D4—42no—
1070C4×D4—3162no—
1071C4×D4—3162no—
1072C4×D4—3162no—
1073C2×C4⋊C4—791no—
1074C2×C4⋊C4—791no—
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×C4⋊C4C22×D7911yescharacteristic
1098C2×C22⋊C4—42no—
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⋊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×C22⋊C4C22×D7911yescharacteristic
1157C2×C42—3162no—
1158C2×C42—791no—
1159C2×C42—791no—
1160C2×C42—791no—
1161C2×C42—791no—
1162C2×C42—791no—
1163C2×C42—791no—
1164C2×C42—791no—
1165C2×C42—791no—
1166C2×C42—791no—
1167C2×C42C22×D7911yescharacteristic
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#95—791no—
1198#95C22×D7911yescharacteristic
1199#95C22×D7911yescharacteristic
1200#95C22×D7911yescharacteristic
1201#95C22×D7911yescharacteristic
1202C24—22no—
1203C24—41no—
1204C24—41no—
1205C24—41no—
1206C24—41no—
1207C24—41no—
1208C24—41no—
1209C24—791no—
1210C24—791no—
1211C24C23×D7911yescharacteristic
1212C24C23×D7911yescharacteristic
1213C24C23×D7911yescharacteristic
1214C24C23×D7911yescharacteristic
1215C24C23×D7911yescharacteristic
1216C2×Q8—3161no—
1217C2×Q8—3161no—
1218C2×Q8—1582no—
1219C2×D4—22no—
1220C2×D4—22no—
1221C2×D4—22no—
1222C2×D4—22no—
1223C2×D4—41no—
1224C2×D4—41no—
1225C2×D4—41no—
1226C2×D4—41no—
1227C2×D4—41no—
1228C2×D4—41no—
1229C2×D4—41no—
1230C2×D4—41no—
1231C2×D4—41no—
1232C2×D4—41no—
1233C2×D4—41no—
1234C2×D4—41no—
1235C2×D4—41no—
1236C2×D4—41no—
1237C2×D4—41no—
1238C2×D4—41no—
1239C2×D4—41no—
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—1582no—
1263C2×D4—1582no—
1264C2×D4—1582no—
1265C2×D4—1582no—
1266C2×D4—1582no—
1267C2×D4—1582no—
1268C2×D4—1582no—
1269C2×D4—1582no—
1270C2×D4—1582no—
1271C2×D4—1582no—
1272C2×D4—1582no—
1273C22×C4—22no—
1274C22×C4—22no—
1275C22×C4—41no—
1276C22×C4—41no—
1277C22×C4—41no—
1278C22×C4—41no—
1279C22×C4—41no—
1280C22×C4—41no—
1281C22×C4—41no—
1282C22×C4—3161no—
1283C22×C4—3161no—
1284C22×C4—3161no—
1285C22×C4—3161no—
1286C22×C4—3161no—
1287C22×C4—3161no—
1288C22×C4—3161no—
1289C22×C4—3161no—
1290C22×C4—3161no—
1291C22×C4—3161no—
1292C22×C4—791no—
1293C22×C4—791no—
1294C22×C4—791no—
1295C22×C4—791no—
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—1582no—
1307C22×C4—1582no—
1308C22×C4—1582no—
1309C22×C4—1582no—
1310C22×C4—1582no—
1311C22×C4C23×D7911yescharacteristic
1312C22×C4C23×D7911yescharacteristic
1313C22×C4C23×D7911yescharacteristic
1314C22×C4C23×D7911yescharacteristic
1315C22×C4C23×D7911yescharacteristic
1316C22×C4C23×D7911yescharacteristic
1317C22×C4C23×D7911yescharacteristic
1318C22×C4C23×D7911yescharacteristic
1319C22×C4C23×D7911yescharacteristic
1320C22×C4C23×D7911yescharacteristic
1321C4⋊C4—22no—
1322C4⋊C4—41no—
1323C4⋊C4—41no—
1324C4⋊C4—41no—
1325C4⋊C4—3161no—
1326C4⋊C4—3161no—
1327C4⋊C4—3161no—
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—
1346C22⋊C4—22no—
1347C22⋊C4—22no—
1348C22⋊C4—22no—
1349C22⋊C4—22no—
1350C22⋊C4—22no—
1351C22⋊C4—22no—
1352C22⋊C4—22no—
1353C22⋊C4—22no—
1354C22⋊C4—22no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
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—3161no—
1391C22⋊C4—3161no—
1392C22⋊C4—794no—
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—
1404C42—22no—
1405C42—3161no—
1406C42—3161no—
1407C42—3161no—
1408C42—3161no—
1409C42—3161no—
1410C42—3161no—
1411C42—3161no—
1412C42—1582no—
1413C42—1582no—
1414C23—21no—
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—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—44no—
1449C23—82no—
1450C23—82no—
1451C23—82no—
1452C23—82no—
1453C23—82no—
1454C23—82no—
1455C23—792no—
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—
1469C23#41×D7912yes—
1470C23C24×D7911yescharacteristic
1471Q8—6322no—
1472D4—44no—
1473D4—82no—
1474D4—82no—
1475D4—82no—
1476D4—82no—
1477D4—82no—
1478D4—82no—
1479D4—3164no—
1480D4—3164no—
1481D4—3164no—
1482D4—6322no—
1483D4—6322no—
1484D4—6322no—
1485D4—6322no—
1486D4—6322no—
1487D4—6322no—
1488D4—6322no—
1489D4—6322no—
1490C2×C4—21no—
1491C2×C4—21no—
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—82no—
1518C2×C4—82no—
1519C2×C4—82no—
1520C2×C4—3164no—
1521C2×C4—3164no—
1522C2×C4—3164no—
1523C2×C4—792no—
1524C2×C4—792no—
1525C2×C4—6322no—
1526C2×C4—6322no—
1527C2×C4—1581no—
1528C2×C4—1581no—
1529C2×C4—1581no—
1530C2×C4—1581no—
1531C2×C4—1581no—
1532C2×C4—1581no—
1533C2×C4—1581no—
1534C2×C4—1581no—
1535C2×C4—1581no—
1536C2×C4—1581no—
1537C2×C4—1581no—
1538C2×C4—1581no—
1539C2×C4—1581no—
1540C2×C4—1581no—
1541C2×C4—1581no—
1542C2×C4—1581no—
1543C2×C4—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#1457920612yes—
1568C2×C4#1457920612yes—
1569C2×C4#1457920612yes—
1570C22—22no—
1571C22—22no—
1572C22—22no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—41no—
1577C22—41no—
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—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—88no—
1606C22—3161no—
1607C22—3161no—
1608C22—3161no—
1609C22—3161no—
1610C22—3161no—
1611C22—3161no—
1612C22—3161no—
1613C22—3161no—
1614C22—3161no—
1615C22—3161no—
1616C22—3161no—
1617C22—1582no—
1618C22—1582no—
1619C22—1582no—
1620C22C2×#41×D7911yescharacteristic
1621C22H(5,𝔽2)×D7911yescharacteristic
1622C22C2×#1457920611yescharacteristic
1623C22C2×#1457920611yescharacteristic
1624C22C2×#1457920611yescharacteristic
1625C22#1909939811yescharacteristic
1626C22#1909939911yescharacteristic
1627C4—22no—
1628C4—22no—
1629C4—22no—
1630C4—41no—
1631C4—41no—
1632C4—41no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—3161no—
1638C4—3161no—
1639C4—3161no—
1640C4—3161no—
1641C4—3161no—
1642C4—3161no—
1643C4—3161no—
1644C4—3161no—
1645C4—3161no—
1646C4—3161no—
1647C4—3161no—
1648C4—3161no—
1649C4—1582no—
1650C4—1582no—
1651C2—42no—
1652C2—81no—
1653C2—81no—
1654C2—81no—
1655C2—81no—
1656C2—3162no—
1657C2—6321no—
1658C2#2377681811yescharacteristic
1659C2#2377733611yescharacteristic
1660C2#2377742611yescharacteristic
1661C2#2377755911yescharacteristic
1662C2#2377763111yescharacteristic
1663C2#2377776811yescharacteristic
1664C2#2377790911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2424C2
hypercenter#2424D79
hypocenterC79#36926
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2424

Complements

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

NH ≅ G/Ntype
1. #23771730C2semidirect
2. #23771698C2semidirect
3. #23771304C2semidirect
4. #23771012C2semidirect
5. #23770878C2semidirect
6. #23770744C2semidirect
7. #23770721C2semidirect
8. #23770679C2semidirect
9. #23770149C2semidirect
10. #23770039C2semidirect
11. #23770034C2semidirect
12. #23769787C2semidirect
13. #23769695C2semidirect
14. #23769671C2semidirect
15. #23769642C2semidirect
16. #23769622C2semidirect
17. #23769614C2semidirect
18. #23769604C2semidirect
19. #23769529C2semidirect
20. #23769465C2semidirect
21. #23768932C2semidirect
22. #23768457C2semidirect
23. #23767411C2semidirect
24. #23767294C2semidirect
25. #23767277C2semidirect
26. #23767162C2semidirect
27. #23766862C2semidirect
28. #23766209C2semidirect
29. #23766058C2semidirect
30. C4×#14579132C2semidirect
31. C79×#2424C2semidirect
36. C2×#14579145C22semidirect
37. C2×#14579144C22semidirect
39. C2×#14579143C22semidirect
40. C2×#14579143C22semidirect
41. C2×#14579139C22semidirect
43. C2×#14579134C22semidirect
51. C2×C4×C22⋊D79C22semidirect
52. C2×C42×D79C22semidirect
53. C79⋊#401C22semidirect
54. #19098505C22semidirect
55. #19098502C22semidirect
59. #19098497C22semidirect
60. #19098496C22semidirect
61. #19098494C22semidirect
62. #19098493C22semidirect
65. #19098489C22semidirect
67. #19098488C22semidirect
69. #19098486C22semidirect
70. #19098481C22semidirect
74. #19098479C22semidirect
84. #19098477C22semidirect
86. #19098475C22semidirect
95. #19098471C22semidirect
96. #19098471C22semidirect
97. #19098467C22semidirect
98. #19098467C22semidirect
105. #19098463C22semidirect
106. #19098463C22semidirect
107. #19098462C22semidirect
108. #19098461C22semidirect
109. #19098460C22semidirect
110. #19098459C22semidirect
111. #19098458C22semidirect
117. #19098457C22semidirect
118. #19098457C22semidirect
123. #19098456C22semidirect
124. #19098456C22semidirect
125. #19098454C22semidirect
126. #19098453C22semidirect
127. #19098453C22semidirect
128. #19098453C22semidirect
129. #19098452C22semidirect
134. #19098451C22semidirect
135. #19098451C22semidirect
136. #19098449C22semidirect
137. #19098448C22semidirect
138. #19098445C22semidirect
141. #19098443C22semidirect
144. #19098441C22semidirect
145. #19098441C22semidirect
152. #19098439C22semidirect
153. #19098439C22semidirect
154. #19098437C22semidirect
157. #19098436C22semidirect
158. #19098435C22semidirect
159. #19098434C22semidirect
160. #19098430C22semidirect
161. #19098427C22semidirect
163. #19098420C22semidirect
164. #19098420C22semidirect
167. C4×C4⋊Dic79C22semidirect
168. #19098414C22semidirect
169. C22⋊C4×Dic79C22semidirect
171. C4×C22⋊Dic79C22semidirect
859. #2424D79semidirect
864. C79#36926semidirect

Maximal subgroups

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

subgroupindex
#237717302
#237716982
#237713042
#237710122
#237708782
#237707442
#237707212
#237706792
#237701492
#237700392
#237700342
#237697872
#237696952
#237696712
#237696422
#237696222
#237696142
#237696042
#237695292
#237694652
#237689322
#237684572
#237674112
#237672942
#237672772
#237671622
#237668622
#237662092
#237660582
C4×#145791322
C79×#24242
#3692679