Finite Group Databasebeta

← #34452731

Subgroups — #34452731

Order 20224.

2306 conjugacy classes of subgroups.

The subgroup lattice has 1570 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19099149C211yesmaximal, characteristic
2#23766569C211yesmaximal, characteristic, complemented
3#23766564C211yesmaximal, characteristic, complemented
4#23766552C211yesmaximal, characteristic, complemented
5#23766540C211yesmaximal, characteristic, complemented
6#23766466C211yesmaximal, characteristic, complemented
7#23766450C211yesmaximal, characteristic, complemented
8#23766436C211yesmaximal, characteristic, complemented
9#23766429C211yesmaximal, characteristic, complemented
10#23766421C211yesmaximal, characteristic, complemented
11#23766396C211yesmaximal, characteristic, complemented
12#23766382C211yesmaximal, characteristic, complemented
13#23766369C211yesmaximal, characteristic, complemented
14#23766324C211yesmaximal, characteristic, complemented
15#23766248C211yesmaximal, characteristic, complemented
16#23766243C211yesmaximal, characteristic, complemented
17#23766208C211yesmaximal, characteristic, complemented
18#23766184C211yesmaximal, characteristic, complemented
19#23766182C211yesmaximal, characteristic, complemented
20#23766181C211yesmaximal, characteristic, complemented
21#23766177C211yesmaximal, characteristic, complemented
22#23766163C211yesmaximal, characteristic, complemented
23#23766088C211yesmaximal, characteristic, complemented
24#23766073C211yesmaximal, characteristic, complemented
25#23766063C211yesmaximal, characteristic, complemented
26#23766059C211yesmaximal, characteristic, complemented
27#23766027C211yesmaximal, characteristic, complemented
28C4×#14579156C211yesmaximal, characteristic, complemented
29#23765941C211yesmaximal, characteristic, complemented
30#23765863C211yesmaximal, characteristic, complemented
31C79×#2374C211yesmaximal, characteristic, complemented
32#19099149C4116yescomplemented
33C2×#14579156C2211yescharacteristic
34C2×#14579154C2211yescharacteristic
35C2×#14579147C2211yescharacteristic
36C2×#14579147C2211yescharacteristic
37C2×#14579146C2211yescharacteristic
38C2×#14579141C2211yescharacteristic
39C2×#14579135C2211yescharacteristic
40C2×#14579134C2211yescharacteristic
41C2×#14579132C2211yescharacteristic
42C2×#14579131C2211yescharacteristic
43C2×#14579129C2211yescharacteristic
44C2×#14579126C2211yescharacteristic, complemented
45C2×C4×D316C2211yescharacteristic
46C2×D4×Dic79C2211yescharacteristic
47C2×#14579123C2211yescharacteristic
48C2×C4×C22⋊D79C2211yescharacteristic
49C2×(C22⋊D79)⋊C4C2211yescharacteristic
50C2×(C22⋊D79)⋊C4C2211yescharacteristic
51C2×(C22⋊D79)⋊C4C2211yescharacteristic, complemented
52C2×#14579120C2211yescharacteristic, complemented
53C2×#14579119C2211yescharacteristic
54C2×#14579118C2211yescharacteristic
55C2×C4⋊C4×D79C2211yescharacteristic, complemented
56C22×(C2×D79)⋊C4C2211yescharacteristic
57C2×C22⋊C4×D79C2211yescharacteristic
58C2×C22⋊C4×D79C2211yescharacteristic
59#19098469C2211yescharacteristic, complemented
60#19098467C2211yescharacteristic, complemented
61#19098467C2211yescharacteristic, complemented
62#19098465C2211yescharacteristic
63#19098465C2211yescharacteristic
64#19098464C2211yescharacteristic
65#19098463C2211yescharacteristic
66#19098463C2211yescharacteristic
67#19098463C2211yescharacteristic
68#19098463C2211yescharacteristic
69#19098463C2211yescharacteristic, complemented
70#19098462C2211yescharacteristic, complemented
71#19098461C2211yescharacteristic, complemented
72#19098460C2211yescharacteristic, complemented
73#19098460C2211yescharacteristic, complemented
74#19098460C2211yescharacteristic, complemented
75#19098459C2211yescharacteristic, complemented
76#19098457C2211yescharacteristic
77#19098457C2211yescharacteristic
78#19098457C2211yescharacteristic
79#19098456C2211yescharacteristic
80#19098456C2211yescharacteristic
81#19098455C2211yescharacteristic
82#19098455C2211yescharacteristic
83#19098455C2211yescharacteristic
84#19098455C2211yescharacteristic
85#19098454C2211yescharacteristic
86#19098454C2211yescharacteristic
87#19098454C2211yescharacteristic
88#19098454C2211yescharacteristic
89#19098454C2211yescharacteristic
90#19098454C2211yescharacteristic, complemented
91#19098454C2211yescharacteristic, complemented
92#19098453C2211yescharacteristic
93#19098453C2211yescharacteristic
94#19098453C2211yescharacteristic, complemented
95#19098452C2211yescharacteristic
96#19098452C2211yescharacteristic
97#19098452C2211yescharacteristic
98#19098452C2211yescharacteristic
99#19098452C2211yescharacteristic
100#19098452C2211yescharacteristic, complemented
101#19098451C2211yescharacteristic
102#19098451C2211yescharacteristic, complemented
103#19098451C2211yescharacteristic, complemented
104#19098449C2211yescharacteristic, complemented
105#19098449C2211yescharacteristic, complemented
106#19098448C2211yescharacteristic, complemented
107#19098448C2211yescharacteristic, complemented
108#19098448C2211yescharacteristic, complemented
109#19098447C2211yescharacteristic, complemented
110#19098447C2211yescharacteristic, complemented
111#19098446C2211yescharacteristic, complemented
112#19098445C2211yescharacteristic, complemented
113#19098444C2211yescharacteristic, complemented
114#19098443C2211yescharacteristic
115#19098442C2211yescharacteristic
116#19098441C2211yescharacteristic
117#19098441C2211yescharacteristic
118#19098441C2211yescharacteristic
119#19098441C2211yescharacteristic
120#19098440C2211yescharacteristic
121#19098440C2211yescharacteristic
122#19098440C2211yescharacteristic
123#19098440C2211yescharacteristic, complemented
124#19098439C2211yescharacteristic
125#19098439C2211yescharacteristic
126#19098439C2211yescharacteristic, complemented
127#19098438C2211yescharacteristic
128#19098438C2211yescharacteristic, complemented
129#19098437C2211yescharacteristic
130#19098437C2211yescharacteristic
131#19098437C2211yescharacteristic, complemented
132#19098436C2211yescharacteristic
133#19098436C2211yescharacteristic
134#19098435C2211yescharacteristic
135#19098435C2211yescharacteristic, complemented
136#19098435C2211yescharacteristic, complemented
137#19098434C2211yescharacteristic
138#19098434C2211yescharacteristic
139#19098430C2211yescharacteristic, complemented
140#19098428C2211yescharacteristic, complemented
141#19098427C2211yescharacteristic, complemented
142#19098427C2211yescharacteristic, complemented
143#19098425C2211yescharacteristic
144#19098425C2211yescharacteristic
145#19098425C2211yescharacteristic, complemented
146#19098422C2211yescharacteristic
147#19098422C2211yescharacteristic
148#19098422C2211yescharacteristic, complemented
149#19098418C2211yescharacteristic
150#19098418C2211yescharacteristic
151C4⋊C4×Dic79C2211yescharacteristic, complemented
152C4×Dic79⋊C4C2211yescharacteristic, complemented
153C4×Dic79⋊C4C2211yescharacteristic, complemented
154C4×Dic79⋊C4C2211yescharacteristic, complemented
155C4×C4⋊Dic79C2211yescharacteristic, complemented
156C4×C4⋊Dic79C2211yescharacteristic, complemented
157#19098414C2211yescharacteristic, complemented
158C22⋊C4×Dic79C2211yescharacteristic
159C22⋊C4×Dic79C2211yescharacteristic
160C22⋊C4×Dic79C2211yescharacteristic, complemented
161C4×(C2×D79)⋊C4C2211yescharacteristic
162C4×(C2×D79)⋊C4C2211yescharacteristic
163C4×(C2×D79)⋊C4C2211yescharacteristic
164C4×(C2×D79)⋊C4C2211yescharacteristic
165C4×(C2×D79)⋊C4C2211yescharacteristic
166C4×(C2×D79)⋊C4C2211yescharacteristic, complemented
167C4×(C2×D79)⋊C4C2211yescharacteristic, complemented
168#19098410C2211yescharacteristic
169#19098410C2211yescharacteristic, complemented
170#19098410C2211yescharacteristic, complemented
171C2×C79⋊#95C2211yescharacteristic, complemented
172C42×Dic79C2211yescharacteristic, complemented
173C2×#123×C79C2211yescharacteristic
174#390×C79C2211yescharacteristic
175#388×C79C2211yescharacteristic
176#388×C79C2211yescharacteristic
177#388×C79C2211yescharacteristic, complemented
178#388×C79C2211yescharacteristic, complemented
179#387×C79C2211yescharacteristic, complemented
180#387×C79C2211yescharacteristic, complemented
181#386×C79C2211yescharacteristic
182C4×C4⋊C4×C79C2211yescharacteristic, complemented
183C4×C4⋊C4×C79C2211yescharacteristic, complemented
184C4×C22⋊C4×C79C2211yescharacteristic
185C4×C22⋊C4×C79C2211yescharacteristic
186C4×C22⋊C4×C79C2211yescharacteristic, complemented
187C4×C22⋊C4×C79C2211yescharacteristic, complemented
188C24×D79C2311yescharacteristic
189C22×Dic158C2311yescharacteristic
190C22×D316C2311yescharacteristic
191C22×D316C2311yescharacteristic
192C22×C22⋊D79C2311yescharacteristic
193C22×C22⋊D79C2311yescharacteristic
194C22×C22⋊D79C2311yescharacteristic
195C22×C22⋊D79C2311yescharacteristic
196C23×Dic79C2311yescharacteristic
197C23×Dic79C2311yescharacteristic
198C23×Dic79C2311yescharacteristic
199C22×C4×D79C2311yescharacteristic
200C22×C4×D79C2311yescharacteristic
201C22×C4×D79C2311yescharacteristic
202C22×C4×D79C2311yescharacteristic
203C22×C4×D79C2311yescharacteristic
204C22×C4×D79C2311yescharacteristic
205C22×C4×D79C2311yescharacteristic
206#14579156C2×C418yescomplemented
207#14579154C2×C418yescomplemented
208#14579147C2×C418yescomplemented
209#14579147C2×C418yescomplemented
210#14579146C2×C418yescomplemented
211#14579141C2×C418yescomplemented
212#14579135C2×C418yescomplemented
213#14579134C2×C418yescomplemented
214#14579132C2×C418yescomplemented
215#14579131C2×C418yescomplemented
216#14579129C2×C418yescomplemented
217#14579126—42no—
218C4×D316—42no—
219D4×Dic79—42no—
220#14579123C2×C418yescomplemented
221C4×C22⋊D79C2×C418yescomplemented
222(C22⋊D79)⋊C4—42no—
223(C22⋊D79)⋊C4—42no—
224(C22⋊D79)⋊C4—42no—
225#14579120—42no—
226#14579119—42no—
227#14579118—42no—
228C2×C4⋊Dic79C2311yescharacteristic
229C2×C4⋊Dic79C2311yescharacteristic
230C2×C4⋊Dic79C2311yescharacteristic
231C2×C4⋊Dic79C2311yescharacteristic
232C2×C4⋊Dic79C2311yescharacteristic
233C2×C4⋊Dic79C2311yescharacteristic
234C2×C4⋊Dic79C2311yescharacteristic
235C2×Dic79⋊C4C2311yescharacteristic
236C2×Dic79⋊C4C2311yescharacteristic
237C2×Dic79⋊C4C2311yescharacteristic
238C2×Dic79⋊C4C2311yescharacteristic
239C2×Dic79⋊C4C2311yescharacteristic
240C2×Dic79⋊C4C2311yescharacteristic
241C2×Dic79⋊C4C2311yescharacteristic
242C2×Dic79⋊C4C2311yescharacteristic
243C2×Dic79⋊C4C2311yescharacteristic
244C2×Dic79⋊C4C2311yescharacteristic
245C2×Dic79⋊C4C2311yescharacteristic
246C2×Dic79⋊C4C2311yescharacteristic
247C2×Dic79⋊C4C2311yescharacteristic
248C2×Dic79⋊C4C2311yescharacteristic
249C4⋊C4×D79—42no—
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
287C22⋊C4×D79—42no—
288C22⋊C4×D79C2×C418yescomplemented
289C2×C4×Dic79C2311yescharacteristic
290C2×C4×Dic79C2311yescharacteristic
291C2×C4×Dic79C2311yescharacteristic
292C2×C4×Dic79C2311yescharacteristic
293C2×C4×Dic79C2311yescharacteristic
294C2×C4×Dic79C2311yescharacteristic
295C2×C4×Dic79C2311yescharacteristic
296C2×C4×Dic79C2311yescharacteristic
297C2×C4×Dic79C2311yescharacteristic
298C2×C4×Dic79C2311yescharacteristic
299C2×C4×Dic79C2311yescharacteristic
300C2×C4×Dic79C2311yescharacteristic
301C2×C4×Dic79C2311yescharacteristic
302C2×C4×Dic79C2311yescharacteristic
303C2×C4×Dic79C2311yescharacteristic
304C79⋊#95C2311yescharacteristic
305C79⋊#95C2311yescharacteristic
306C79⋊#95C2311yescharacteristic
307C79⋊#95C2311yescharacteristic
308C79⋊#95C2311yescharacteristic
309C79⋊#95C2311yescharacteristic
310C79⋊#95C2311yescharacteristic
311C79⋊#95C2311yescharacteristic
312C79⋊#95C2311yescharacteristic
313C79⋊#95C2311yescharacteristic
314C79⋊#95C2311yescharacteristic
315C79⋊#95C2311yescharacteristic
316C79⋊#95C2311yescharacteristic
317C79⋊#95C2311yescharacteristic
318C79⋊#95C2311yescharacteristic
319C79⋊#95C2311yescharacteristic
320C79⋊#95C2311yescharacteristic
321C79⋊#95C2311yescharacteristic
322C79⋊#95C2311yescharacteristic
323C79⋊#95C2311yescharacteristic
324C79⋊#95C2311yescharacteristic
325C79⋊#95C2311yescharacteristic
326C79⋊#95C2311yescharacteristic
327C79⋊#95C2311yescharacteristic
328C79⋊#95C2311yescharacteristic
329C79⋊#95C2311yescharacteristic
330C79⋊#95C2311yescharacteristic
331C79⋊#95C2311yescharacteristic
332C79⋊#95C2311yescharacteristic
333C79⋊#95C2311yescharacteristic
334C22×D4×C79C2311yescharacteristic
335C23×C4×C79C2311yescharacteristic
336C23×C4×C79C2311yescharacteristic
337#123×C79C2×C418yescomplemented
338C2×C4⋊C4×C79C2311yescharacteristic
339C2×C4⋊C4×C79C2311yescharacteristic
340C2×C4⋊C4×C79C2311yescharacteristic
341C2×C4⋊C4×C79C2311yescharacteristic
342C2×C4⋊C4×C79C2311yescharacteristic
343C2×C22⋊C4×C79C2311yescharacteristic
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×C42×C79C2311yescharacteristic
354C2×C42×C79C2311yescharacteristic
355C2×C42×C79C2311yescharacteristic
356C2×C42×C79C2311yescharacteristic
357C2×C42×C79C2311yescharacteristic
358C2×C42×C79C2311yescharacteristic
359C2×C42×C79C2311yescharacteristic
360#95×C79C2311yescharacteristic
361#95×C79C2311yescharacteristic
362#95×C79C2311yescharacteristic
363#95×C79C2311yescharacteristic
364#95×C79C2311yescharacteristic
365#95×C79C2311yescharacteristic
366#95×C79C2311yescharacteristic
367#95×C79C2311yescharacteristic
368#95×C79C2311yescharacteristic
369#95×C79C2311yescharacteristic
370C23×D79—41no—
371C23×D79—41no—
372C23×D79—41no—
373C23×D79—41no—
374C23×D79—41no—
375C23×D79—41no—
376C23×D79C22×C414yes—
377C23×D79C2411yescharacteristic
378C23×D79C2411yescharacteristic
379C23×D79C2411yescharacteristic
380C2×Dic158—41no—
381C2×Dic158—41no—
382C2×Dic158C22×C414yes—
383C2×D316—41no—
384C2×D316—41no—
385C2×D316—41no—
386C2×D316—41no—
387C2×D316C22×C414yes—
388C2×D316C22×C414yes—
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⋊D79C22×C414yes—
398C2×C22⋊D79C22×C414yes—
399C2×C22⋊D79C22×C414yes—
400C2×C22⋊D79C22×C414yes—
401C22×Dic79—22no—
402C22×Dic79—41no—
403C22×Dic79—41no—
404C22×Dic79—41no—
405C22×Dic79—41no—
406C22×Dic79—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
423C2×C4×D79—22no—
424C2×C4×D79—22no—
425C2×C4×D79—41no—
426C2×C4×D79—41no—
427C2×C4×D79—41no—
428C2×C4×D79—41no—
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—
436C2×C4×D79—41no—
437C2×C4×D79—41no—
438C2×C4×D79—41no—
439C2×C4×D79—41no—
440C2×C4×D79—41no—
441C2×C4×D79C22×C414yes—
442C2×C4×D79C22×C414yes—
443C2×C4×D79C22×C414yes—
444C4⋊Dic79—22no—
445C4⋊Dic79—22no—
446C4⋊Dic79—41no—
447C4⋊Dic79—41no—
448C4⋊Dic79—41no—
449C4⋊Dic79C22×C414yes—
450C4⋊Dic79C22×C414yes—
451Dic79⋊C4—22no—
452Dic79⋊C4—22no—
453Dic79⋊C4—41no—
454Dic79⋊C4—41no—
455Dic79⋊C4—41no—
456Dic79⋊C4—41no—
457Dic79⋊C4—41no—
458Dic79⋊C4—41no—
459Dic79⋊C4—41no—
460Dic79⋊C4—41no—
461Dic79⋊C4—41no—
462Dic79⋊C4—41no—
463Dic79⋊C4C22×C414yes—
464Dic79⋊C4C22×C414yes—
465C22⋊Dic79—22no—
466C22⋊Dic79—41no—
467C22⋊Dic79—41no—
468C22⋊Dic79—41no—
469C22⋊Dic79—41no—
470C22⋊Dic79C22×C414yes—
471C22⋊Dic79C22×C414yes—
472C22⋊Dic79C22×C414yes—
473(C2×D79)⋊C4—22no—
474(C2×D79)⋊C4—22no—
475(C2×D79)⋊C4—22no—
476(C2×D79)⋊C4—22no—
477(C2×D79)⋊C4—41no—
478(C2×D79)⋊C4—41no—
479(C2×D79)⋊C4—41no—
480(C2×D79)⋊C4—41no—
481(C2×D79)⋊C4—41no—
482(C2×D79)⋊C4—41no—
483(C2×D79)⋊C4—41no—
484(C2×D79)⋊C4—41no—
485(C2×D79)⋊C4—41no—
486(C2×D79)⋊C4—41no—
487(C2×D79)⋊C4—41no—
488(C2×D79)⋊C4—41no—
489(C2×D79)⋊C4—41no—
490(C2×D79)⋊C4—41no—
491(C2×D79)⋊C4—41no—
492(C2×D79)⋊C4—41no—
493(C2×D79)⋊C4C22×C414yes—
494(C2×D79)⋊C4C22×C414yes—
495(C2×D79)⋊C4C22×C414yes—
496(C2×D79)⋊C4C22×C414yes—
497(C2×D79)⋊C4C22×C414yes—
498(C2×D79)⋊C4C22×C414yes—
499(C2×D79)⋊C4C22×C414yes—
500(C2×D79)⋊C4C22×C414yes—
501C4×Dic79—22no—
502C4×Dic79—22no—
503C4×Dic79—22no—
504C4×Dic79—41no—
505C4×Dic79—41no—
506C4×Dic79—41no—
507C4×Dic79—41no—
508C4×Dic79—41no—
509C4×Dic79—41no—
510C4×Dic79—41no—
511C4×Dic79—41no—
512C4×Dic79—41no—
513C4×Dic79—41no—
514C4×Dic79C22×C414yes—
515C4×Dic79C22×C414yes—
516C24×C79C2411yescharacteristic
517C24×C79C2411yescharacteristic
518C2×D4×C79—41no—
519C2×D4×C79—41no—
520C2×D4×C79C22×C414yes—
521C22×C4×C79—41no—
522C22×C4×C79—41no—
523C22×C4×C79—41no—
524C22×C4×C79—41no—
525C22×C4×C79—41no—
526C22×C4×C79C22×C414yes—
527C22×C4×C79C2411yescharacteristic
528C22×C4×C79C2411yescharacteristic
529C22×C4×C79C2411yescharacteristic
530C22×C4×C79C2411yescharacteristic
531C22×C4×C79C2411yescharacteristic
532C22×C4×C79C2411yescharacteristic
533C22×C4×C79C2411yescharacteristic
534C22×C4×C79C2411yescharacteristic
535C22×C4×C79C2411yescharacteristic
536C22×C4×C79C2411yescharacteristic
537C22×C4×C79C2411yescharacteristic
538C22×C4×C79C2411yescharacteristic
539C22×C4×C79C2411yescharacteristic
540C4⋊C4×C79—22no—
541C4⋊C4×C79—41no—
542C4⋊C4×C79—41no—
543C4⋊C4×C79C22×C414yes—
544C4⋊C4×C79C22×C414yes—
545C22⋊C4×C79—22no—
546C22⋊C4×C79—22no—
547C22⋊C4×C79—41no—
548C22⋊C4×C79—41no—
549C22⋊C4×C79—41no—
550C22⋊C4×C79—41no—
551C22⋊C4×C79—41no—
552C22⋊C4×C79C22×C414yes—
553C22⋊C4×C79C22×C414yes—
554C22⋊C4×C79C22×C414yes—
555C42×C79—41no—
556C42×C79—41no—
557C42×C79—41no—
558C42×C79—41no—
559C42×C79—41no—
560C42×C79—41no—
561C42×C79—41no—
562C23×C79—21no—
563C23×C79—21no—
564C23×C79—21no—
565C23×C79—21no—
566C23×C79—21no—
567C23×C79—21no—
568C23×C79—21no—
569C23×C79—21no—
570C23×C79—21no—
571C23×C79—21no—
572C23×C79—21no—
573C23×C79—21no—
574C23×C79C23×C412yes—
575C23×C79C23×C412yes—
576C23×C79C2511yescharacteristic
577C22×D79—21no—
578C22×D79—21no—
579C22×D79—21no—
580C22×D79—21no—
581C22×D79—21no—
582C22×D79—21no—
583C22×D79—21no—
584C22×D79—21no—
585C22×D79—21no—
586C22×D79—21no—
587C22×D79—21no—
588C22×D79—21no—
589C22×D79—21no—
590C22×D79—21no—
591C22×D79—21no—
592C22×D79—21no—
593C22×D79—21no—
594C22×D79—21no—
595C22×D79—44no—
596C22×D79—44no—
597C22×D79—44no—
598C22×D79—82no—
599C22×D79—82no—
600C22×D79—82no—
601C22×D79—82no—
602C22×D79C23×C412yes—
603C22×D79C23×C412yes—
604C22×D79C23×C412yes—
605D4×C79—44no—
606C2×C4×C79—21no—
607C2×C4×C79—21no—
608C2×C4×C79—21no—
609C2×C4×C79—21no—
610C2×C4×C79—21no—
611C2×C4×C79—21no—
612C2×C4×C79—21no—
613C2×C4×C79—21no—
614C2×C4×C79—21no—
615C2×C4×C79—21no—
616C2×C4×C79—21no—
617C2×C4×C79—21no—
618C2×C4×C79—21no—
619C2×C4×C79—21no—
620C2×C4×C79—21no—
621C2×C4×C79—21no—
622C2×C4×C79—21no—
623C2×C4×C79—21no—
624C2×C4×C79—21no—
625C2×C4×C79—21no—
626C2×C4×C79—21no—
627C2×C4×C79—21no—
628C2×C4×C79—21no—
629C2×C4×C79—21no—
630C2×C4×C79—21no—
631C2×C4×C79—21no—
632C2×C4×C79—21no—
633C2×C4×C79—21no—
634C2×C4×C79—21no—
635C2×C4×C79—21no—
636C2×C4×C79—21no—
637C2×C4×C79—21no—
638C2×C4×C79—21no—
639C2×C4×C79—44no—
640C2×C4×C79—82no—
641C2×C4×C79C23×C412yes—
642C2×C4×C79C23×C412yes—
643C2×C4×C79C23×C412yes—
644C2×C4×C79C23×C412yes—
645C2×C4×C79C23×C412yes—
646C2×C4×C79H(5,𝔽2)12yes—
647C22⋊D79—44no—
648C22⋊D79—44no—
649C22⋊D79—44no—
650C22⋊D79—44no—
651C2×Dic79—21no—
652C2×Dic79—21no—
653C2×Dic79—21no—
654C2×Dic79—21no—
655C2×Dic79—21no—
656C2×Dic79—21no—
657C2×Dic79—21no—
658C2×Dic79—21no—
659C2×Dic79—21no—
660C2×Dic79—21no—
661C2×Dic79—21no—
662C2×Dic79—21no—
663C2×Dic79—21no—
664C2×Dic79—21no—
665C2×Dic79—21no—
666C2×Dic79—21no—
667C2×Dic79—21no—
668C2×Dic79—21no—
669C2×Dic79—21no—
670C2×Dic79—21no—
671C2×Dic79—21no—
672C2×Dic79—21no—
673C2×Dic79—21no—
674C2×Dic79—21no—
675C2×Dic79—21no—
676C2×Dic79—21no—
677C2×Dic79—21no—
678C2×Dic79—21no—
679C2×Dic79—21no—
680C2×Dic79—21no—
681C2×Dic79—21no—
682C2×Dic79—21no—
683C2×Dic79—21no—
684C2×Dic79—82no—
685C2×Dic79—82no—
686C2×Dic79—82no—
687C2×Dic79C23×C412yes—
688C2×Dic79C23×C412yes—
689C2×Dic79C23×C412yes—
690C2×Dic79C23×C412yes—
691C2×Dic79C23×C412yes—
692C2×Dic79H(5,𝔽2)12yes—
693D316—44no—
694D316—44no—
695C4×D79—44no—
696C4×D79—44no—
697C4×D79—44no—
698C4×D79—82no—
699C4×D79—82no—
700C4×D79—82no—
701C4×D79—82no—
702Dic158—44no—
703C22×C79—22no—
704C22×C79—22no—
705C22×C79—22no—
706C22×C79—22no—
707C22×C79—22no—
708C22×C79—22no—
709C22×C79—41no—
710C22×C79—41no—
711C22×C79—41no—
712C22×C79—41no—
713C22×C79—41no—
714C22×C79—41no—
715C22×C79—41no—
716C22×C79—41no—
717C22×C79C24×C411yescharacteristic
718C22×C79C2×H(5,𝔽2)11yescharacteristic
719C22×C79C2×H(5,𝔽2)11yescharacteristic
720C22×C79#58511yescharacteristic
721C22×C79#58511yescharacteristic
722C22×C79#58511yescharacteristic
723C22×C79#58511yescharacteristic
724C2×D79—22no—
725C2×D79—22no—
726C2×D79—22no—
727C2×D79—22no—
728C2×D79—22no—
729C2×D79—22no—
730C2×D79—22no—
731C2×D79—22no—
732C2×D79—22no—
733C2×D79—41no—
734C2×D79—41no—
735C2×D79—41no—
736C2×D79—41no—
737C2×D79—41no—
738C2×D79—41no—
739C2×D79—41no—
740C2×D79—41no—
741C2×D79—41no—
742C2×D79—41no—
743C2×D79—41no—
744C2×D79—41no—
745C2×D79—88no—
746C4×C79—22no—
747C4×C79—22no—
748C4×C79—22no—
749C4×C79—22no—
750C4×C79—22no—
751C4×C79—22no—
752C4×C79—41no—
753C4×C79—41no—
754C4×C79—41no—
755C4×C79—41no—
756C4×C79—41no—
757C4×C79—41no—
758C4×C79—41no—
759Dic79—22no—
760Dic79—22no—
761Dic79—22no—
762Dic79—22no—
763Dic79—22no—
764Dic79—22no—
765Dic79—41no—
766Dic79—41no—
767Dic79—41no—
768Dic79—41no—
769Dic79—41no—
770Dic79—41no—
771Dic79—41no—
772#34454—791nomaximal, Sylow
773C2×C79—42no—
774C2×C79—42no—
775C2×C79#342811yescharacteristic
776C2×C79C4×H(5,𝔽2)11yescharacteristic
777C2×C79C4×H(5,𝔽2)11yescharacteristic
778C2×C79#355811yescharacteristic
779C2×C79#356011yescharacteristic
780C2×C79#356211yescharacteristic
781C2×C79#356611yescharacteristic
782D79—42no—
783D79—42no—
784D79—42no—
785C2×#538—791no—
786#2379—791no—
787#2378—791no—
788#2377—791no—
789#2375—791no—
790#2374D7911yescharacteristic, complemented
791#2367—791no—
792#2364—791no—
793#2363—791no—
794#2362—791no—
795#2361—791no—
796#2359—791no—
797#2358—791no—
798#2357—791no—
799#2352—791no—
800#2342—791no—
801#2342—791no—
802#2337—791no—
803#2335—791no—
804#2334—791no—
805#2334—791no—
806#2334—791no—
807#2333—791no—
808#2324—791no—
809#2322—791no—
810#2321—791no—
811#2321—791no—
812#2318—791no—
813C4×#126—791no—
814C4×#124—791no—
815#2293—791no—
816C79#3445411yescharacteristic, complemented, Sylow
817#538—7916no—
818C2×#126—791no—
819C2×#126—791no—
820C2×#124—791no—
821C2×#124—791no—
822C2×#123—791no—
823C2×#123C2×D7911yescharacteristic
824C2×C22⋊Q8—791no—
825C2×#121—791no—
826C2×#121—791no—
827C2×#121—791no—
828C2×#120—791no—
829C2×#120—791no—
830C2×C4×Q8—791no—
831C2×C4×D4—791no—
832C2×C4×D4—791no—
833C2×C4×D4—791no—
834C2×C4×D4—791no—
835C2×C4×D4—791no—
836C2×C4×D4—791no—
837C2×C4×D4—791no—
838C2×#117—791no—
839C2×#117—791no—
840C2×#117—791no—
841C22×C4⋊C4—791no—
842C22×C22⋊C4—791no—
843C22×C22⋊C4—791no—
844C22×C22⋊C4—791no—
845#391—791no—
846#391—791no—
847#391—791no—
848#390—791no—
849#390—791no—
850#390—791no—
851#390—791no—
852#390—791no—
853#390—791no—
854#390—791no—
855#390—791no—
856#390C2×D7911yescharacteristic
857#389—791no—
858#389—791no—
859#389—791no—
860#389—791no—
861#389—791no—
862#389—791no—
863#388—791no—
864#388—791no—
865#388—791no—
866#388—791no—
867#388—791no—
868#388—791no—
869#388—791no—
870#388—791no—
871#388—791no—
872#388—791no—
873#388—791no—
874#388—791no—
875#388—791no—
876#388—791no—
877#388—791no—
878#388—791no—
879#388—791no—
880#388—791no—
881#388—791no—
882#388—791no—
883#388—791no—
884#388—791no—
885#388—791no—
886#388—791no—
887#388—791no—
888#388—791no—
889#388—791no—
890#388—791no—
891#388C2×D7911yescharacteristic
892#388C2×D7911yescharacteristic
893#388C2×D7911yescharacteristic, complemented
894#388C2×D7911yescharacteristic, complemented
895#387—791no—
896#387—791no—
897#387—791no—
898#387—791no—
899#387—791no—
900#387—791no—
901#387—791no—
902#387—791no—
903#387—791no—
904#387—791no—
905#387C2×D7911yescharacteristic, complemented
906#387C2×D7911yescharacteristic, complemented
907#386—791no—
908#386—791no—
909#386—791no—
910#386—791no—
911#386—791no—
912#386—791no—
913#386—791no—
914#386—791no—
915#386—791no—
916#386—791no—
917#386—791no—
918#386—791no—
919#386—791no—
920#386C2×D7911yescharacteristic
921#385—791no—
922#385—791no—
923#385—791no—
924#385—791no—
925#385—791no—
926#385—791no—
927#385—791no—
928#385—791no—
929#385—791no—
930#385—791no—
931#385—791no—
932#385—791no—
933#383—791no—
934#382—791no—
935#382—791no—
936#382—791no—
937#381—791no—
938#381—791no—
939#381—791no—
940#380—791no—
941#380—791no—
942#380—791no—
943#379—791no—
944#379—791no—
945C4×C4⋊C4—791no—
946C4×C4⋊C4—791no—
947C4×C4⋊C4—791no—
948C4×C4⋊C4—791no—
949C4×C4⋊C4—791no—
950C4×C4⋊C4—791no—
951C4×C4⋊C4—791no—
952C4×C4⋊C4C2×D7911yescharacteristic, complemented
953C4×C4⋊C4C2×D7911yescharacteristic, complemented
954C4×C22⋊C4—791no—
955C4×C22⋊C4—791no—
956C4×C22⋊C4—791no—
957C4×C22⋊C4—791no—
958C4×C22⋊C4—791no—
959C4×C22⋊C4—791no—
960C4×C22⋊C4—791no—
961C4×C22⋊C4—791no—
962C4×C22⋊C4—791no—
963C4×C22⋊C4—791no—
964C4×C22⋊C4—791no—
965C4×C22⋊C4—791no—
966C4×C22⋊C4—791no—
967C4×C22⋊C4C2×D7911yescharacteristic
968C4×C22⋊C4C2×D7911yescharacteristic
969C4×C22⋊C4C2×D7911yescharacteristic, complemented
970C4×C22⋊C4C2×D7911yescharacteristic, complemented
971C2×#95—791no—
972C43—791no—
973C25—791no—
974C22×Q8—791no—
975C22×D4—791no—
976C22×D4—791no—
977C22×D4—791no—
978C22×D4—791no—
979C22×D4—791no—
980C22×D4—791no—
981C22×D4C22×D7911yescharacteristic
982C23×C4—791no—
983C23×C4—791no—
984C23×C4—791no—
985C23×C4—791no—
986C23×C4—791no—
987C23×C4—791no—
988C23×C4—791no—
989C23×C4—791no—
990C23×C4—791no—
991C23×C4—791no—
992C23×C4C22×D7911yescharacteristic
993C23×C4C22×D7911yescharacteristic
994#126—798no—
995#126—798no—
996#124—798no—
997#124—798no—
998#123—798no—
999#123C4×D7918yescomplemented
1000C22⋊Q8—798no—
1001#121—798no—
1002#121—798no—
1003#121—798no—
1004#120—798no—
1005#120—798no—
1006C4×Q8—3162no—
1007C4×D4—3162no—
1008C4×D4—3162no—
1009C4×D4—3162no—
1010C4×D4—3162no—
1011C4×D4—3162no—
1012C4×D4—798no—
1013C4×D4—798no—
1014#117—3162no—
1015#117—3162no—
1016#117—3162no—
1017C2×C4⋊C4—3162no—
1018C2×C4⋊C4—791no—
1019C2×C4⋊C4—791no—
1020C2×C4⋊C4—791no—
1021C2×C4⋊C4—791no—
1022C2×C4⋊C4—791no—
1023C2×C4⋊C4—791no—
1024C2×C4⋊C4—791no—
1025C2×C4⋊C4—791no—
1026C2×C4⋊C4—791no—
1027C2×C4⋊C4—791no—
1028C2×C4⋊C4—791no—
1029C2×C4⋊C4—791no—
1030C2×C4⋊C4—791no—
1031C2×C4⋊C4—791no—
1032C2×C4⋊C4—791no—
1033C2×C4⋊C4—791no—
1034C2×C4⋊C4—791no—
1035C2×C4⋊C4—791no—
1036C2×C4⋊C4—791no—
1037C2×C4⋊C4—791no—
1038C2×C4⋊C4—791no—
1039C2×C4⋊C4C22×D7911yescharacteristic
1040C2×C4⋊C4C22×D7911yescharacteristic
1041C2×C4⋊C4C22×D7911yescharacteristic
1042C2×C4⋊C4C22×D7911yescharacteristic
1043C2×C4⋊C4C22×D7911yescharacteristic
1044C2×C22⋊C4—3162no—
1045C2×C22⋊C4—3162no—
1046C2×C22⋊C4—791no—
1047C2×C22⋊C4—791no—
1048C2×C22⋊C4—791no—
1049C2×C22⋊C4—791no—
1050C2×C22⋊C4—791no—
1051C2×C22⋊C4—791no—
1052C2×C22⋊C4—791no—
1053C2×C22⋊C4—791no—
1054C2×C22⋊C4—791no—
1055C2×C22⋊C4—791no—
1056C2×C22⋊C4—791no—
1057C2×C22⋊C4—791no—
1058C2×C22⋊C4—791no—
1059C2×C22⋊C4—791no—
1060C2×C22⋊C4—791no—
1061C2×C22⋊C4—791no—
1062C2×C22⋊C4—791no—
1063C2×C22⋊C4—791no—
1064C2×C22⋊C4—791no—
1065C2×C22⋊C4—791no—
1066C2×C22⋊C4—791no—
1067C2×C22⋊C4—791no—
1068C2×C22⋊C4—791no—
1069C2×C22⋊C4—791no—
1070C2×C22⋊C4—791no—
1071C2×C22⋊C4—791no—
1072C2×C22⋊C4—791no—
1073C2×C22⋊C4—791no—
1074C2×C22⋊C4—791no—
1075C2×C22⋊C4—791no—
1076C2×C22⋊C4—791no—
1077C2×C22⋊C4—798no—
1078C2×C22⋊C4—791no—
1079C2×C22⋊C4—791no—
1080C2×C22⋊C4—791no—
1081C2×C22⋊C4—791no—
1082C2×C22⋊C4—791no—
1083C2×C22⋊C4C22×D7911yescharacteristic
1084C2×C22⋊C4C22×D7911yescharacteristic
1085C2×C22⋊C4C22×D7911yescharacteristic
1086C2×C22⋊C4C22×D7911yescharacteristic
1087C2×C22⋊C4C22×D7911yescharacteristic
1088C2×C22⋊C4C22×D7911yescharacteristic
1089C2×C22⋊C4C22×D7911yescharacteristic
1090C2×C22⋊C4C22×D7911yescharacteristic
1091C2×C22⋊C4C22×D7911yescharacteristic
1092C2×C22⋊C4C22×D7911yescharacteristic
1093C2×C42—791no—
1094C2×C42—791no—
1095C2×C42—791no—
1096C2×C42—791no—
1097C2×C42—791no—
1098C2×C42—791no—
1099C2×C42—791no—
1100C2×C42—791no—
1101C2×C42—791no—
1102C2×C42—791no—
1103C2×C42—791no—
1104C2×C42—791no—
1105C2×C42—791no—
1106C2×C42—791no—
1107C2×C42—791no—
1108C2×C42C22×D7911yescharacteristic
1109C2×C42C22×D7911yescharacteristic
1110C2×C42C22×D7911yescharacteristic
1111C2×C42C22×D7911yescharacteristic
1112C2×C42C22×D7911yescharacteristic
1113C2×C42C22×D7911yescharacteristic
1114C2×C42C22×D7911yescharacteristic
1115#95—791no—
1116#95—791no—
1117#95—791no—
1118#95—791no—
1119#95—791no—
1120#95—791no—
1121#95—791no—
1122#95—791no—
1123#95—791no—
1124#95—791no—
1125#95—791no—
1126#95—791no—
1127#95—791no—
1128#95—791no—
1129#95—791no—
1130#95—791no—
1131#95—791no—
1132#95—791no—
1133#95—791no—
1134#95—791no—
1135#95—791no—
1136#95—791no—
1137#95—791no—
1138#95—791no—
1139#95—791no—
1140#95—791no—
1141#95—791no—
1142#95—791no—
1143#95—791no—
1144#95—791no—
1145#95C22×D7911yescharacteristic
1146#95C22×D7911yescharacteristic
1147#95C22×D7911yescharacteristic
1148#95C22×D7911yescharacteristic
1149#95C22×D7911yescharacteristic
1150#95C22×D7911yescharacteristic
1151#95C22×D7911yescharacteristic
1152#95C22×D7911yescharacteristic
1153#95C22×D7911yescharacteristic
1154#95C22×D7911yescharacteristic
1155C24—3161no—
1156C24—3161no—
1157C24—3161no—
1158C24—3161no—
1159C24—3161no—
1160C24—3161no—
1161C24—794no—
1162C24—791no—
1163C24—791no—
1164C24—791no—
1165C24C23×D7911yescharacteristic
1166C24C23×D7911yescharacteristic
1167C2×Q8—3161no—
1168C2×Q8—3161no—
1169C2×Q8—794no—
1170C2×D4—41no—
1171C2×D4—41no—
1172C2×D4—3161no—
1173C2×D4—3161no—
1174C2×D4—3161no—
1175C2×D4—3161no—
1176C2×D4—3161no—
1177C2×D4—3161no—
1178C2×D4—3161no—
1179C2×D4—3161no—
1180C2×D4—3161no—
1181C2×D4—3161no—
1182C2×D4—3161no—
1183C2×D4—3161no—
1184C2×D4—794no—
1185C2×D4—794no—
1186C2×D4—794no—
1187C2×D4—794no—
1188C2×D4—794no—
1189C2×D4—794no—
1190C2×D4C2×C4×D7914yes—
1191C22×C4—41no—
1192C22×C4—41no—
1193C22×C4—41no—
1194C22×C4—41no—
1195C22×C4—41no—
1196C22×C4—3161no—
1197C22×C4—3161no—
1198C22×C4—3161no—
1199C22×C4—3161no—
1200C22×C4—3161no—
1201C22×C4—3161no—
1202C22×C4—3161no—
1203C22×C4—3161no—
1204C22×C4—3161no—
1205C22×C4—3161no—
1206C22×C4—3161no—
1207C22×C4—3161no—
1208C22×C4—3161no—
1209C22×C4—3161no—
1210C22×C4—3161no—
1211C22×C4—3161no—
1212C22×C4—3161no—
1213C22×C4—3161no—
1214C22×C4—3161no—
1215C22×C4—3161no—
1216C22×C4—3161no—
1217C22×C4—3161no—
1218C22×C4—3161no—
1219C22×C4—3161no—
1220C22×C4—794no—
1221C22×C4—794no—
1222C22×C4—794no—
1223C22×C4—791no—
1224C22×C4—791no—
1225C22×C4—791no—
1226C22×C4—791no—
1227C22×C4—791no—
1228C22×C4—791no—
1229C22×C4—791no—
1230C22×C4—791no—
1231C22×C4—791no—
1232C22×C4—791no—
1233C22×C4—791no—
1234C22×C4—791no—
1235C22×C4—791no—
1236C22×C4—1582no—
1237C22×C4—1582no—
1238C22×C4—1582no—
1239C22×C4C2×C4×D7914yes—
1240C22×C4C23×D7911yescharacteristic
1241C22×C4C23×D7911yescharacteristic
1242C22×C4C23×D7911yescharacteristic
1243C22×C4C23×D7911yescharacteristic
1244C22×C4C23×D7911yescharacteristic
1245C22×C4C23×D7911yescharacteristic
1246C22×C4C23×D7911yescharacteristic
1247C22×C4C23×D7911yescharacteristic
1248C22×C4C23×D7911yescharacteristic
1249C22×C4C23×D7911yescharacteristic
1250C22×C4C23×D7911yescharacteristic
1251C22×C4C23×D7911yescharacteristic
1252C22×C4C23×D7911yescharacteristic
1253C4⋊C4—22no—
1254C4⋊C4—41no—
1255C4⋊C4—41no—
1256C4⋊C4—3161no—
1257C4⋊C4—3161no—
1258C4⋊C4—3161no—
1259C4⋊C4—3161no—
1260C4⋊C4—3161no—
1261C4⋊C4—3161no—
1262C4⋊C4—3161no—
1263C4⋊C4—3161no—
1264C4⋊C4—3161no—
1265C4⋊C4—3161no—
1266C4⋊C4—3161no—
1267C4⋊C4—3161no—
1268C4⋊C4—3161no—
1269C4⋊C4—794no—
1270C4⋊C4—794no—
1271C4⋊C4—794no—
1272C4⋊C4—794no—
1273C4⋊C4—1582no—
1274C4⋊C4—1582no—
1275C4⋊C4—1582no—
1276C4⋊C4—1582no—
1277C4⋊C4C2×C4×D7914yes—
1278C4⋊C4C2×C4×D7914yes—
1279C22⋊C4—22no—
1280C22⋊C4—22no—
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—3161no—
1297C22⋊C4—3161no—
1298C22⋊C4—3161no—
1299C22⋊C4—3161no—
1300C22⋊C4—3161no—
1301C22⋊C4—3161no—
1302C22⋊C4—3161no—
1303C22⋊C4—3161no—
1304C22⋊C4—3161no—
1305C22⋊C4—3161no—
1306C22⋊C4—794no—
1307C22⋊C4—794no—
1308C22⋊C4—794no—
1309C22⋊C4—794no—
1310C22⋊C4—794no—
1311C22⋊C4—794no—
1312C22⋊C4—794no—
1313C22⋊C4—794no—
1314C22⋊C4—794no—
1315C22⋊C4—794no—
1316C22⋊C4—794no—
1317C22⋊C4—1582no—
1318C22⋊C4—1582no—
1319C22⋊C4—1582no—
1320C22⋊C4—1582no—
1321C22⋊C4—1582no—
1322C22⋊C4C2×C4×D7914yes—
1323C22⋊C4C2×C4×D7914yes—
1324C22⋊C4C2×C4×D7914yes—
1325C42—41no—
1326C42—41no—
1327C42—41no—
1328C42—41no—
1329C42—41no—
1330C42—41no—
1331C42—41no—
1332C42—3161no—
1333C42—3161no—
1334C42—3161no—
1335C42—3161no—
1336C42—3161no—
1337C42—3161no—
1338C42—3161no—
1339C42—3161no—
1340C42—3161no—
1341C42—3161no—
1342C42—794no—
1343C42—794no—
1344C42—1582no—
1345C42—1582no—
1346C42—1582no—
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—3164no—
1360C23—3164no—
1361C23—3164no—
1362C23—792no—
1363C23—792no—
1364C23—792no—
1365C23—6322no—
1366C23—6322no—
1367C23—6322no—
1368C23—6322no—
1369C23—1581no—
1370C23—1581no—
1371C23—1581no—
1372C23—1581no—
1373C23—1581no—
1374C23—1581no—
1375C23—1581no—
1376C23—1581no—
1377C23—1581no—
1378C23—1581no—
1379C23—1581no—
1380C23—1581no—
1381C23—1581no—
1382C23—1581no—
1383C23—1581no—
1384C23—1581no—
1385C23—1581no—
1386C23—1581no—
1387C23C22×C4×D7912yes—
1388C23C22×C4×D7912yes—
1389C23C24×D7911yescharacteristic
1390Q8—3164no—
1391D4—44no—
1392D4—3164no—
1393D4—3164no—
1394D4—3164no—
1395D4—3164no—
1396D4—3164no—
1397D4—3164no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—44no—
1432C2×C4—82no—
1433C2×C4—3164no—
1434C2×C4—3164no—
1435C2×C4—3164no—
1436C2×C4—792no—
1437C2×C4—792no—
1438C2×C4—792no—
1439C2×C4—792no—
1440C2×C4—792no—
1441C2×C4—792no—
1442C2×C4—6322no—
1443C2×C4—6322no—
1444C2×C4—6322no—
1445C2×C4—6322no—
1446C2×C4—6322no—
1447C2×C4—6322no—
1448C2×C4—6322no—
1449C2×C4—1581no—
1450C2×C4—1581no—
1451C2×C4—1581no—
1452C2×C4—1581no—
1453C2×C4—1581no—
1454C2×C4—1581no—
1455C2×C4—1581no—
1456C2×C4—1581no—
1457C2×C4—1581no—
1458C2×C4—1581no—
1459C2×C4—1581no—
1460C2×C4—1581no—
1461C2×C4—1581no—
1462C2×C4—1581no—
1463C2×C4—1581no—
1464C2×C4—1581no—
1465C2×C4—1581no—
1466C2×C4—1581no—
1467C2×C4—1581no—
1468C2×C4—1581no—
1469C2×C4—1581no—
1470C2×C4—1581no—
1471C2×C4—1581no—
1472C2×C4—1581no—
1473C2×C4—1581no—
1474C2×C4—1581no—
1475C2×C4—1581no—
1476C2×C4—1581no—
1477C2×C4—1581no—
1478C2×C4—1581no—
1479C2×C4—1581no—
1480C2×C4—1581no—
1481C2×C4—1581no—
1482C2×C4C22×C4×D7912yes—
1483C2×C4C22×C4×D7912yes—
1484C2×C4C22×C4×D7912yes—
1485C2×C4C22×C4×D7912yes—
1486C2×C4C22×C4×D7912yes—
1487C2×C4#1457920712yes—
1488C22—22no—
1489C22—22no—
1490C22—22no—
1491C22—22no—
1492C22—22no—
1493C22—22no—
1494C22—41no—
1495C22—41no—
1496C22—41no—
1497C22—41no—
1498C22—41no—
1499C22—41no—
1500C22—41no—
1501C22—41no—
1502C22—3161no—
1503C22—3161no—
1504C22—3161no—
1505C22—3161no—
1506C22—3161no—
1507C22—3161no—
1508C22—3161no—
1509C22—3161no—
1510C22—3161no—
1511C22—3161no—
1512C22—3161no—
1513C22—3161no—
1514C22—6328no—
1515C22—1582no—
1516C22—1582no—
1517C22—1582no—
1518C22—1582no—
1519C22—1582no—
1520C22—1582no—
1521C22—1582no—
1522C22—1582no—
1523C22—1582no—
1524C22C23×C4×D7911yescharacteristic
1525C22H(5,𝔽2)×D7911yescharacteristic
1526C22C2×#1457920711yescharacteristic
1527C22#1909939811yescharacteristic
1528C22#1909939911yescharacteristic
1529C22#1909939911yescharacteristic
1530C22#1909939911yescharacteristic
1531C4—22no—
1532C4—22no—
1533C4—22no—
1534C4—22no—
1535C4—22no—
1536C4—22no—
1537C4—41no—
1538C4—41no—
1539C4—41no—
1540C4—41no—
1541C4—41no—
1542C4—41no—
1543C4—41no—
1544C4—3161no—
1545C4—3161no—
1546C4—3161no—
1547C4—3161no—
1548C4—3161no—
1549C4—3161no—
1550C4—3161no—
1551C4—1582no—
1552C4—1582no—
1553C4—1582no—
1554C4—1582no—
1555C4—1582no—
1556C4—1582no—
1557C2—42no—
1558C2—42no—
1559C2—3162no—
1560C2—3162no—
1561C2—3162no—
1562C2#2377659911yescharacteristic
1563C2#2377660411yescharacteristic
1564C2C4×#1457920711yescharacteristic
1565C2#2377792011yescharacteristic
1566C2#2377795111yescharacteristic
1567C2#2377798111yescharacteristic
1568C2#2377807711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutatorC22×C79C24×C4
FittingC79×#2374C2
socle, cosocleC23×C79C25
prime radicalC2×#19099149C2
hypercenter#2374D79
hypocenterC79#34454
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2374

Complements

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

NH ≅ G/Ntype
2. #23766569C2semidirect
3. #23766564C2semidirect
4. #23766552C2semidirect
5. #23766540C2semidirect
6. #23766466C2semidirect
7. #23766450C2semidirect
8. #23766436C2semidirect
9. #23766429C2semidirect
10. #23766421C2semidirect
11. #23766396C2semidirect
12. #23766382C2semidirect
13. #23766369C2semidirect
14. #23766324C2semidirect
15. #23766248C2semidirect
16. #23766243C2semidirect
17. #23766208C2semidirect
18. #23766184C2semidirect
19. #23766182C2semidirect
20. #23766181C2semidirect
21. #23766177C2semidirect
22. #23766163C2semidirect
23. #23766088C2semidirect
24. #23766073C2semidirect
25. #23766063C2semidirect
26. #23766059C2semidirect
27. #23766027C2semidirect
28. C4×#14579156C2semidirect
29. #23765941C2semidirect
30. #23765863C2semidirect
31. C79×#2374C2semidirect
32. #19099149C4semidirect
44. C2×#14579126C22semidirect
51. C2×(C22⋊D79)⋊C4C22semidirect
52. C2×#14579120C22semidirect
55. C2×C4⋊C4×D79C22semidirect
59. #19098469C22semidirect
60. #19098467C22semidirect
61. #19098467C22semidirect
69. #19098463C22semidirect
70. #19098462C22semidirect
71. #19098461C22semidirect
72. #19098460C22semidirect
73. #19098460C22semidirect
74. #19098460C22semidirect
75. #19098459C22semidirect
90. #19098454C22semidirect
91. #19098454C22semidirect
94. #19098453C22semidirect
100. #19098452C22semidirect
102. #19098451C22semidirect
103. #19098451C22semidirect
104. #19098449C22semidirect
105. #19098449C22semidirect
106. #19098448C22semidirect
107. #19098448C22semidirect
108. #19098448C22semidirect
109. #19098447C22semidirect
110. #19098447C22semidirect
111. #19098446C22semidirect
112. #19098445C22semidirect
113. #19098444C22semidirect
123. #19098440C22semidirect
126. #19098439C22semidirect
128. #19098438C22semidirect
131. #19098437C22semidirect
135. #19098435C22semidirect
136. #19098435C22semidirect
139. #19098430C22semidirect
140. #19098428C22semidirect
141. #19098427C22semidirect
142. #19098427C22semidirect
145. #19098425C22semidirect
148. #19098422C22semidirect
151. C4⋊C4×Dic79C22semidirect
152. C4×Dic79⋊C4C22semidirect
153. C4×Dic79⋊C4C22semidirect
154. C4×Dic79⋊C4C22semidirect
155. C4×C4⋊Dic79C22semidirect
156. C4×C4⋊Dic79C22semidirect
157. #19098414C22semidirect
160. C22⋊C4×Dic79C22semidirect
166. C4×(C2×D79)⋊C4C22semidirect
167. C4×(C2×D79)⋊C4C22semidirect
169. #19098410C22semidirect
170. #19098410C22semidirect
171. C2×C79⋊#95C22semidirect
172. C42×Dic79C22semidirect
177. #388×C79C22semidirect
178. #388×C79C22semidirect
179. #387×C79C22semidirect
180. #387×C79C22semidirect
182. C4×C4⋊C4×C79C22semidirect
183. C4×C4⋊C4×C79C22semidirect
186. C4×C22⋊C4×C79C22semidirect
187. C4×C22⋊C4×C79C22semidirect
206. #14579156C2×C4semidirect
207. #14579154C2×C4semidirect
208. #14579147C2×C4semidirect
209. #14579147C2×C4semidirect
210. #14579146C2×C4semidirect
211. #14579141C2×C4semidirect
212. #14579135C2×C4semidirect
213. #14579134C2×C4semidirect
214. #14579132C2×C4semidirect
215. #14579131C2×C4semidirect
216. #14579129C2×C4semidirect
220. #14579123C2×C4semidirect
221. C4×C22⋊D79C2×C4semidirect
288. C22⋊C4×D79C2×C4semidirect
337. #123×C79C2×C4semidirect
790. #2374D79semidirect
816. C79#34454semidirect
893. #388C2×D79semidirect
894. #388C2×D79semidirect
905. #387C2×D79semidirect
906. #387C2×D79semidirect
952. C4×C4⋊C4C2×D79semidirect
953. C4×C4⋊C4C2×D79semidirect
969. C4×C22⋊C4C2×D79semidirect
970. C4×C22⋊C4C2×D79semidirect
999. #123C4×D79semidirect

Maximal subgroups

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

subgroupindex
C2×#190991492
#237665692
#237665642
#237665522
#237665402
#237664662
#237664502
#237664362
#237664292
#237664212
#237663962
#237663822
#237663692
#237663242
#237662482
#237662432
#237662082
#237661842
#237661822
#237661812
#237661772
#237661632
#237660882
#237660732
#237660632
#237660592
#237660272
C4×#145791562
#237659412
#237658632
C79×#23742
#3445479