Finite Group Databasebeta

← #34457091

Subgroups — #34457091

Order 20224.

2668 conjugacy classes of subgroups.

The subgroup lattice has 1622 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19099098C211yesmaximal, characteristic, complemented
2C22×#14579119C211yesmaximal, characteristic, complemented
3#23767658C211yesmaximal, characteristic, complemented
4#23767651C211yesmaximal, characteristic, complemented
5#23767624C211yesmaximal, characteristic, complemented
6#23767617C211yesmaximal, characteristic, complemented
7#23767596C211yesmaximal, characteristic, complemented
8#23767589C211yesmaximal, characteristic, complemented
9#23767567C211yesmaximal, characteristic, complemented
10#23767560C211yesmaximal, characteristic, complemented
11#23767526C211yesmaximal, characteristic, complemented
12#23767509C211yesmaximal, characteristic, complemented
13#23767502C211yesmaximal, characteristic, complemented
14#23767207C211yesmaximal, characteristic, complemented
15#23767135C211yesmaximal, characteristic, complemented
16#23766934C211yesmaximal, characteristic
17#23766864C211yesmaximal, characteristic, complemented
18#23766677C211yesmaximal, characteristic, complemented
19#23766666C211yesmaximal, characteristic, complemented
20#23766664C211yesmaximal, characteristic, complemented
21#23766641C211yesmaximal, characteristic, complemented
22#23765932C211yesmaximal, characteristic, complemented
23#23765906C211yesmaximal, characteristic, complemented
24#23765901C211yesmaximal, characteristic, complemented
25#23765901C211yesmaximal, characteristic, complemented
26#23765892C211yesmaximal, characteristic, complemented
27#23765858C211yesmaximal, characteristic, complemented
28#23765838C211yesmaximal, characteristic, complemented
29#23765836C211yesmaximal, characteristic, complemented
30C4×(C22⋊D79)⋊C4C211yesmaximal, characteristic, complemented
31C79×#2473C211yesmaximal, characteristic, complemented
32C23×C4×D79C2211yescharacteristic
33#19099098—28no—
34C2×#14579156C2211yescharacteristic
35C2×#14579156C2211yescharacteristic, complemented
36C2×#14579149C2211yescharacteristic
37C2×#14579146C2211yescharacteristic
38C2×#14579146C2211yescharacteristic, complemented
39C2×#14579141C2211yescharacteristic, complemented
40C2×#14579138C2211yescharacteristic
41C2×#14579136C2211yescharacteristic
42C2×#14579135C2211yescharacteristic
43C2×#14579131C2211yescharacteristic
44C2×#14579131C2211yescharacteristic
45C2×#14579126C2211yescharacteristic, complemented
46C2×#14579123C2211yescharacteristic
47C2×#14579123C2211yescharacteristic
48C2×#14579123C2211yescharacteristic
49C2×#14579123C2211yescharacteristic
50C2×#14579123C2211yescharacteristic, complemented
51C2×C4×C22⋊D79C2211yescharacteristic
52C2×(C22⋊D79)⋊C4C2211yescharacteristic
53C2×(C22⋊D79)⋊C4C2211yescharacteristic
54C2×(C22⋊D79)⋊C4C2211yescharacteristic
55C2×#14579119—28no—
56C2×#14579119C2211yescharacteristic
57C2×#14579119C2211yescharacteristic
58C2×#14579119C2211yescharacteristic
59C2×#14579119C2211yescharacteristic
60C2×#14579119C2211yescharacteristic
61C2×#14579119C2211yescharacteristic
62C2×#14579119C2211yescharacteristic
63C2×#14579119C2211yescharacteristic
64C2×#14579119C2211yescharacteristic, complemented
65C22×C4⋊Dic79C2211yescharacteristic
66C22×(C2×D79)⋊C4C2211yescharacteristic
67C22×(C2×D79)⋊C4C2211yescharacteristic
68C22×C4×Dic79C2211yescharacteristic
69C22×C4×Dic79C2211yescharacteristic
70C2×C42×D79C2211yescharacteristic, complemented
71#19098505C2211yescharacteristic, complemented
72#19098502C2211yescharacteristic, complemented
73#19098500C2211yescharacteristic, complemented
74#19098498C2211yescharacteristic
75#19098498C2211yescharacteristic, complemented
76#19098496C2211yescharacteristic, complemented
77#19098493C2211yescharacteristic, complemented
78#19098492C2211yescharacteristic
79#19098492C2211yescharacteristic
80#19098490C2211yescharacteristic
81#19098490C2211yescharacteristic
82#19098490C2211yescharacteristic, complemented
83#19098489C2211yescharacteristic
84#19098489C2211yescharacteristic, complemented
85#19098485C2211yescharacteristic
86#19098485C2211yescharacteristic
87#19098485C2211yescharacteristic, complemented
88#19098485C2211yescharacteristic, complemented
89#19098484C2211yescharacteristic, complemented
90#19098481C2211yescharacteristic
91#19098481C2211yescharacteristic
92#19098481C2211yescharacteristic
93#19098481C2211yescharacteristic
94#19098480C2211yescharacteristic
95#19098480C2211yescharacteristic
96#19098480C2211yescharacteristic, complemented
97#19098476C2211yescharacteristic
98#19098473C2211yescharacteristic
99#19098467C2211yescharacteristic, complemented
100#19098465C2211yescharacteristic
101#19098464C2211yescharacteristic
102#19098464C2211yescharacteristic, complemented
103#19098462C2211yescharacteristic, complemented
104#19098459C2211yescharacteristic, complemented
105#19098458C2211yescharacteristic, complemented
106#19098455C2211yescharacteristic
107#19098455C2211yescharacteristic
108#19098455C2211yescharacteristic, complemented
109#19098455C2211yescharacteristic, complemented
110#19098454C2211yescharacteristic
111#19098454C2211yescharacteristic
112#19098453C2211yescharacteristic
113#19098453C2211yescharacteristic
114#19098453C2211yescharacteristic, complemented
115#19098453C2211yescharacteristic, complemented
116#19098452C2211yescharacteristic
117#19098452C2211yescharacteristic
118#19098452C2211yescharacteristic, complemented
119#19098452C2211yescharacteristic, complemented
120#19098450C2211yescharacteristic, complemented
121#19098449C2211yescharacteristic, complemented
122#19098449C2211yescharacteristic, complemented
123#19098448C2211yescharacteristic, complemented
124#19098448C2211yescharacteristic, complemented
125#19098446C2211yescharacteristic, complemented
126#19098444C2211yescharacteristic, complemented
127#19098444C2211yescharacteristic, complemented
128#19098442C2211yescharacteristic
129#19098442C2211yescharacteristic
130#19098442C2211yescharacteristic
131#19098441C2211yescharacteristic
132#19098441C2211yescharacteristic
133#19098441C2211yescharacteristic
134#19098441C2211yescharacteristic
135#19098441C2211yescharacteristic
136#19098441C2211yescharacteristic
137#19098440C2211yescharacteristic
138#19098440C2211yescharacteristic
139#19098440C2211yescharacteristic
140#19098438C2211yescharacteristic
141#19098437C2211yescharacteristic, complemented
142#19098436C2211yescharacteristic
143#19098434C2211yescharacteristic
144#19098434C2211yescharacteristic
145#19098434C2211yescharacteristic
146#19098434C2211yescharacteristic
147#19098434C2211yescharacteristic, complemented
148#19098421C2211yescharacteristic
149#19098418C2211yescharacteristic
150#19098418C2211yescharacteristic
151C4⋊C4×Dic79C2211yescharacteristic, complemented
152C4⋊C4×Dic79C2211yescharacteristic, complemented
153C4⋊C4×Dic79C2211yescharacteristic, complemented
154C4×Dic79⋊C4C2211yescharacteristic, complemented
155#19098414C2211yescharacteristic, complemented
156#19098414C2211yescharacteristic, complemented
157#19098414C2211yescharacteristic, complemented
158#19098414C2211yescharacteristic, complemented
159C22⋊C4×Dic79C2211yescharacteristic
160C22⋊C4×Dic79C2211yescharacteristic
161C22⋊C4×Dic79C2211yescharacteristic
162C4×(C2×D79)⋊C4C2211yescharacteristic, complemented
163#19098410C2211yescharacteristic
164#19098410C2211yescharacteristic
165#19098410C2211yescharacteristic
166#19098410C2211yescharacteristic
167#19098410C2211yescharacteristic, complemented
168#19098410C2211yescharacteristic, complemented
169#19098410C2211yescharacteristic, complemented
170#19098410C2211yescharacteristic, complemented
171#19098410C2211yescharacteristic, complemented
172#19098408C2211yescharacteristic, complemented
173C42×Dic79C2211yescharacteristic, complemented
174C2×#125×C79C2211yescharacteristic, complemented
175C22×C4⋊C4×C79C2211yescharacteristic
176#400×C79C2211yescharacteristic, complemented
177#398×C79C2211yescharacteristic, complemented
178#398×C79C2211yescharacteristic, complemented
179#398×C79C2211yescharacteristic, complemented
180#389×C79C2211yescharacteristic, complemented
181#387×C79C2211yescharacteristic, complemented
182#387×C79C2211yescharacteristic, complemented
183#385×C79C2211yescharacteristic
184#385×C79C2211yescharacteristic
185#385×C79C2211yescharacteristic
186#385×C79C2211yescharacteristic
187#380×C79C2211yescharacteristic
188C4×C22⋊C4×C79C2211yescharacteristic
189C24×D79C2311yescharacteristic
190C22×Dic158C2311yescharacteristic
191C22×D316C2311yescharacteristic
192C22×D316C2311yescharacteristic
193C22×D316C2311yescharacteristic
194C22×D316C2311yescharacteristic
195C22×D316C2311yescharacteristic
196C22×C22⋊D79C2311yescharacteristic
197C22×C22⋊D79C2311yescharacteristic
198C23×Dic79C2311yescharacteristic
199C23×Dic79C2311yescharacteristic
200C23×Dic79C2311yescharacteristic
201C22×C4×D79—24no—
202C22×C4×D79—24no—
203C22×C4×D79—24no—
204C22×C4×D79C2311yescharacteristic
205C22×C4×D79C2311yescharacteristic
206C22×C4×D79C2311yescharacteristic
207C22×C4×D79C2311yescharacteristic
208C22×C4×D79C2311yescharacteristic
209C22×C4×D79C2311yescharacteristic
210C22×C4×D79C2311yescharacteristic
211C22×C4×D79C2311yescharacteristic
212#14579156—24no—
213#14579156—24no—
214#14579149—24no—
215#14579146—24no—
216#14579146—24no—
217#14579141—24no—
218#14579138—24no—
219#14579136—24no—
220#14579135—24no—
221#14579131—24no—
222#14579131—24no—
223#14579126—24no—
224#14579123—24no—
225#14579123—24no—
226#14579123—24no—
227#14579123—24no—
228#14579123—24no—
229C4×C22⋊D79—24no—
230(C22⋊D79)⋊C4—24no—
231(C22⋊D79)⋊C4—24no—
232(C22⋊D79)⋊C4—24no—
233#14579119—24no—
234#14579119—24no—
235#14579119—24no—
236#14579119—24no—
237#14579119—24no—
238#14579119—24no—
239#14579119—24no—
240#14579119—24no—
241#14579119D418yescomplemented
242C2×C4⋊Dic79—24no—
243C2×C4⋊Dic79C2311yescharacteristic
244C2×C4⋊Dic79C2311yescharacteristic
245C2×C4⋊Dic79C2311yescharacteristic
246C2×C4⋊Dic79C2311yescharacteristic
247C2×C4⋊Dic79C2311yescharacteristic
248C2×C4⋊Dic79C2311yescharacteristic
249C2×C4⋊Dic79C2311yescharacteristic
250C2×C4⋊Dic79C2311yescharacteristic
251C2×Dic79⋊C4C2311yescharacteristic
252C2×Dic79⋊C4C2311yescharacteristic
253C2×Dic79⋊C4C2311yescharacteristic
254C2×Dic79⋊C4C2311yescharacteristic
255C2×Dic79⋊C4C2311yescharacteristic
256C2×Dic79⋊C4C2311yescharacteristic
257C2×Dic79⋊C4C2311yescharacteristic
258C2×Dic79⋊C4C2311yescharacteristic
259C2×Dic79⋊C4C2311yescharacteristic
260C2×Dic79⋊C4C2311yescharacteristic
261C2×C22⋊Dic79C2311yescharacteristic
262C2×C22⋊Dic79C2311yescharacteristic
263C2×(C2×D79)⋊C4—24no—
264C2×(C2×D79)⋊C4—24no—
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×(C2×D79)⋊C4C2311yescharacteristic
296C2×(C2×D79)⋊C4C2311yescharacteristic
297C2×(C2×D79)⋊C4C2311yescharacteristic
298C2×(C2×D79)⋊C4C2311yescharacteristic
299C2×(C2×D79)⋊C4C2311yescharacteristic
300C2×(C2×D79)⋊C4C2311yescharacteristic
301C2×(C2×D79)⋊C4C2311yescharacteristic
302C2×(C2×D79)⋊C4C2311yescharacteristic
303C2×C4×Dic79—24no—
304C2×C4×Dic79—24no—
305C2×C4×Dic79C2311yescharacteristic
306C2×C4×Dic79C2311yescharacteristic
307C2×C4×Dic79C2311yescharacteristic
308C2×C4×Dic79C2311yescharacteristic
309C2×C4×Dic79C2311yescharacteristic
310C2×C4×Dic79C2311yescharacteristic
311C2×C4×Dic79C2311yescharacteristic
312C2×C4×Dic79C2311yescharacteristic
313C2×C4×Dic79C2311yescharacteristic
314C2×C4×Dic79C2311yescharacteristic
315C2×C4×Dic79C2311yescharacteristic
316C2×C4×Dic79C2311yescharacteristic
317C2×C4×Dic79C2311yescharacteristic
318C2×C4×Dic79C2311yescharacteristic
319C2×C4×Dic79C2311yescharacteristic
320C2×C4×Dic79C2311yescharacteristic
321C2×C4×Dic79C2311yescharacteristic
322C2×C4×Dic79C2311yescharacteristic
323C42×D79—24no—
324C79⋊#95C2311yescharacteristic
325C79⋊#95C2311yescharacteristic
326C79⋊#95C2311yescharacteristic
327C79⋊#95C2311yescharacteristic
328C79⋊#95C2311yescharacteristic
329C79⋊#95C2311yescharacteristic
330C79⋊#95C2311yescharacteristic
331C79⋊#95C2311yescharacteristic
332C79⋊#95C2311yescharacteristic
333C79⋊#95C2311yescharacteristic
334C79⋊#95C2311yescharacteristic
335C79⋊#95C2311yescharacteristic
336C79⋊#95C2311yescharacteristic
337C79⋊#95C2311yescharacteristic
338C79⋊#95C2311yescharacteristic
339C79⋊#95C2311yescharacteristic
340C79⋊#95C2311yescharacteristic
341C79⋊#95C2311yescharacteristic
342C79⋊#95C2311yescharacteristic
343C79⋊#95C2311yescharacteristic
344C79⋊#95C2311yescharacteristic
345C79⋊#95C2311yescharacteristic
346C79⋊#95C2311yescharacteristic
347C79⋊#95C2311yescharacteristic
348C23×C4×C79C2311yescharacteristic
349C23×C4×C79C2311yescharacteristic
350C23×C4×C79C2311yescharacteristic
351#125×C79—24no—
352C2×C4⋊C4×C79—24no—
353C2×C4⋊C4×C79C2311yescharacteristic
354C2×C4⋊C4×C79C2311yescharacteristic
355C2×C4⋊C4×C79C2311yescharacteristic
356C2×C4⋊C4×C79C2311yescharacteristic
357C2×C4⋊C4×C79C2311yescharacteristic
358C2×C4⋊C4×C79C2311yescharacteristic
359C2×C4⋊C4×C79C2311yescharacteristic
360C2×C4⋊C4×C79C2311yescharacteristic
361C2×C4⋊C4×C79C2311yescharacteristic
362C2×C4⋊C4×C79C2311yescharacteristic
363C2×C4⋊C4×C79C2311yescharacteristic
364C2×C4⋊C4×C79C2311yescharacteristic
365C2×C4⋊C4×C79C2311yescharacteristic
366C2×C4⋊C4×C79C2311yescharacteristic
367C2×C22⋊C4×C79C2311yescharacteristic
368C2×C22⋊C4×C79C2311yescharacteristic
369C2×C22⋊C4×C79C2311yescharacteristic
370C2×C22⋊C4×C79C2311yescharacteristic
371C2×C42×C79C2311yescharacteristic
372C2×C42×C79C2311yescharacteristic
373#95×C79C2311yescharacteristic
374#95×C79C2311yescharacteristic
375#95×C79C2311yescharacteristic
376#95×C79C2311yescharacteristic
377#95×C79C2311yescharacteristic
378#95×C79C2311yescharacteristic
379#95×C79C2311yescharacteristic
380#95×C79C2311yescharacteristic
381#95×C79C2311yescharacteristic
382#95×C79C2311yescharacteristic
383#95×C79C2311yescharacteristic
384#95×C79C2311yescharacteristic
385C23×D79—22no—
386C23×D79—22no—
387C23×D79—22no—
388C23×D79—22no—
389C23×D79—22no—
390C23×D79—41no—
391C23×D79—41no—
392C23×D79C2411yescharacteristic
393C23×D79C2411yescharacteristic
394C23×D79C2411yescharacteristic
395C23×D79C2411yescharacteristic
396C2×Dic158—22no—
397C2×Dic158—22no—
398C2×Dic158—41no—
399C2×D316—22no—
400C2×D316—22no—
401C2×D316—22no—
402C2×D316—22no—
403C2×D316—22no—
404C2×D316—22no—
405C2×D316—22no—
406C2×D316—22no—
407C2×D316—22no—
408C2×D316—22no—
409C2×D316—41no—
410C2×D316—41no—
411C2×D316—41no—
412C2×D316—41no—
413C2×D316—41no—
414C2×C22⋊D79—22no—
415C2×C22⋊D79—22no—
416C2×C22⋊D79—22no—
417C2×C22⋊D79—22no—
418C2×C22⋊D79—22no—
419C2×C22⋊D79#4114yes—
420C22×Dic79—22no—
421C22×Dic79—22no—
422C22×Dic79—22no—
423C22×Dic79—22no—
424C22×Dic79—22no—
425C22×Dic79—22no—
426C22×Dic79—41no—
427C22×Dic79—41no—
428C22×Dic79#4114yes—
429C22×Dic79C2411yescharacteristic
430C22×Dic79C2411yescharacteristic
431C22×Dic79C2411yescharacteristic
432C22×Dic79C2411yescharacteristic
433C22×Dic79C2411yescharacteristic
434C22×Dic79C2411yescharacteristic
435C22×Dic79C2411yescharacteristic
436C22×Dic79C2411yescharacteristic
437C22×Dic79C2411yescharacteristic
438C22×Dic79C2411yescharacteristic
439C22×Dic79C2411yescharacteristic
440C22×Dic79C2411yescharacteristic
441C2×C4×D79—232no—
442C2×C4×D79—22no—
443C2×C4×D79—22no—
444C2×C4×D79—22no—
445C2×C4×D79—22no—
446C2×C4×D79—22no—
447C2×C4×D79—22no—
448C2×C4×D79—22no—
449C2×C4×D79—22no—
450C2×C4×D79—22no—
451C2×C4×D79—22no—
452C2×C4×D79—22no—
453C2×C4×D79—22no—
454C2×C4×D79—22no—
455C2×C4×D79—22no—
456C2×C4×D79—22no—
457C2×C4×D79—22no—
458C2×C4×D79—22no—
459C2×C4×D79—22no—
460C2×C4×D79—22no—
461C2×C4×D79—22no—
462C2×C4×D79—41no—
463C2×C4×D79—41no—
464C2×C4×D79C2×D414yes—
465C2×C4×D79#4114yes—
466C4⋊Dic79—22no—
467C4⋊Dic79—22no—
468C4⋊Dic79—22no—
469C4⋊Dic79—22no—
470C4⋊Dic79—22no—
471C4⋊Dic79—22no—
472C4⋊Dic79—41no—
473C4⋊Dic79C2×D414yes—
474Dic79⋊C4—22no—
475Dic79⋊C4—22no—
476Dic79⋊C4—22no—
477Dic79⋊C4—22no—
478Dic79⋊C4—22no—
479Dic79⋊C4—22no—
480Dic79⋊C4—22no—
481Dic79⋊C4—22no—
482Dic79⋊C4—41no—
483Dic79⋊C4—41no—
484C22⋊Dic79—22no—
485C22⋊Dic79—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—22no—
496(C2×D79)⋊C4—22no—
497(C2×D79)⋊C4—22no—
498(C2×D79)⋊C4—22no—
499(C2×D79)⋊C4—22no—
500(C2×D79)⋊C4—22no—
501(C2×D79)⋊C4—22no—
502(C2×D79)⋊C4—22no—
503(C2×D79)⋊C4—22no—
504(C2×D79)⋊C4—22no—
505(C2×D79)⋊C4—22no—
506(C2×D79)⋊C4—22no—
507(C2×D79)⋊C4—22no—
508(C2×D79)⋊C4—22no—
509(C2×D79)⋊C4—22no—
510(C2×D79)⋊C4—22no—
511(C2×D79)⋊C4—22no—
512(C2×D79)⋊C4—22no—
513(C2×D79)⋊C4—22no—
514(C2×D79)⋊C4—41no—
515(C2×D79)⋊C4—41no—
516(C2×D79)⋊C4—41no—
517(C2×D79)⋊C4—41no—
518(C2×D79)⋊C4—41no—
519(C2×D79)⋊C4—41no—
520(C2×D79)⋊C4—41no—
521(C2×D79)⋊C4—41no—
522(C2×D79)⋊C4C2×D414yes—
523(C2×D79)⋊C4C2×D414yes—
524C4×Dic79—22no—
525C4×Dic79—22no—
526C4×Dic79—22no—
527C4×Dic79—22no—
528C4×Dic79—22no—
529C4×Dic79—22no—
530C4×Dic79—22no—
531C4×Dic79—22no—
532C4×Dic79—22no—
533C4×Dic79—22no—
534C4×Dic79—22no—
535C4×Dic79—22no—
536C4×Dic79—22no—
537C4×Dic79—22no—
538C4×Dic79—22no—
539C4×Dic79—41no—
540C4×Dic79C2×D414yes—
541C4×Dic79C2×D414yes—
542C24×C79C2411yescharacteristic
543C22×C4×C79—22no—
544C22×C4×C79—22no—
545C22×C4×C79—22no—
546C22×C4×C79—22no—
547C22×C4×C79—22no—
548C22×C4×C79—22no—
549C22×C4×C79—22no—
550C22×C4×C79—41no—
551C22×C4×C79—41no—
552C22×C4×C79C2411yescharacteristic
553C22×C4×C79C2411yescharacteristic
554C22×C4×C79C2411yescharacteristic
555C22×C4×C79C2411yescharacteristic
556C22×C4×C79C2411yescharacteristic
557C22×C4×C79C2411yescharacteristic
558C22×C4×C79C2411yescharacteristic
559C22×C4×C79C2411yescharacteristic
560C22×C4×C79C2411yescharacteristic
561C22×C4×C79C2411yescharacteristic
562C22×C4×C79C2411yescharacteristic
563C22×C4×C79C2411yescharacteristic
564C22×C4×C79C2411yescharacteristic
565C22×C4×C79C2411yescharacteristic
566C4⋊C4×C79—22no—
567C4⋊C4×C79—22no—
568C4⋊C4×C79—22no—
569C4⋊C4×C79—22no—
570C4⋊C4×C79—22no—
571C4⋊C4×C79—22no—
572C4⋊C4×C79—22no—
573C4⋊C4×C79—22no—
574C4⋊C4×C79—22no—
575C4⋊C4×C79—22no—
576C4⋊C4×C79—41no—
577C4⋊C4×C79—41no—
578C4⋊C4×C79—41no—
579C4⋊C4×C79C2×D414yes—
580C22⋊C4×C79—22no—
581C22⋊C4×C79—22no—
582C22⋊C4×C79—22no—
583C22⋊C4×C79#4114yes—
584C42×C79—22no—
585C42×C79—41no—
586C23×C79—21no—
587C23×C79—21no—
588C23×C79—21no—
589C23×C79—21no—
590C23×C79C2×#4112yes—
591C23×C79C2×#4112yes—
592C23×C79C2×#4112yes—
593C23×C79C2511yescharacteristic
594C22×D79—28no—
595C22×D79—21no—
596C22×D79—21no—
597C22×D79—21no—
598C22×D79—21no—
599C22×D79—21no—
600C22×D79—21no—
601C22×D79—21no—
602C22×D79—21no—
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—44no—
621C22×D79—44no—
622C22×D79—44no—
623C22×D79—44no—
624C22×D79—44no—
625C22×D79—44no—
626C22×D79C22×D412yes—
627C22×D79C2×#4112yes—
628C22×D79C2×#4112yes—
629C2×C4×C79—28no—
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—21no—
640C2×C4×C79—21no—
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—44no—
667C2×C4×C79—44no—
668C2×C4×C79C22×D412yes—
669C2×C4×C79C22×D412yes—
670C2×C4×C79C22×D412yes—
671C2×C4×C79C2×#4112yes—
672C2×C4×C79C2×#4112yes—
673C2×C4×C79C2×#4112yes—
674C22⋊D79—28no—
675C22⋊D79—44no—
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—28no—
685C2×Dic79—21no—
686C2×Dic79—21no—
687C2×Dic79—21no—
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—44no—
707C2×Dic79—44no—
708C2×Dic79C22×D412yes—
709C2×Dic79C22×D412yes—
710C2×Dic79C22×D412yes—
711C2×Dic79C2×#4112yes—
712C2×Dic79C2×#4112yes—
713C2×Dic79C2×#4112yes—
714C2×Dic79C2×#4112yes—
715D316—44no—
716D316—44no—
717D316—44no—
718D316—44no—
719D316—44no—
720C4×D79—28no—
721C4×D79—28no—
722C4×D79—28no—
723C4×D79—28no—
724C4×D79—44no—
725C4×D79—44no—
726C4×D79—44no—
727C4×D79—44no—
728Dic158—44no—
729C22×C79—22no—
730C22×C79—22no—
731C22×C79—22no—
732C22×C79—22no—
733C22×C79—22no—
734C22×C79—22no—
735C22×C79#52914yescomplemented
736C22×C79C23×D411yescharacteristic
737C22×C79C22×#4111yescharacteristic
738C22×C79C22×#4111yescharacteristic
739C22×C79C22×#4111yescharacteristic
740C22×C79C22×#4111yescharacteristic
741C22×C79#58511yescharacteristic
742C22×C79#58511yescharacteristic
743C2×D79—22no—
744C2×D79—22no—
745C2×D79—22no—
746C2×D79—22no—
747C2×D79—22no—
748C2×D79—22no—
749C2×D79—22no—
750C2×D79—22no—
751C2×D79—22no—
752C2×D79—416no—
753C2×D79—41no—
754C2×D79—41no—
755C2×D79—41no—
756C2×D79—41no—
757C2×D79—41no—
758C2×D79—41no—
759C2×D79—41no—
760C2×D79—41no—
761C2×D79—41no—
762C2×D79—41no—
763C2×D79—41no—
764C2×D79—41no—
765C2×D79—41no—
766C2×D79—41no—
767C2×D79—41no—
768C2×D79—41no—
769C2×D79—41no—
770C2×D79—41no—
771C2×D79—41no—
772C4×C79—22no—
773C4×C79—22no—
774C4×C79—22no—
775C4×C79—22no—
776C4×C79—22no—
777C4×C79—22no—
778C4×C79—41no—
779C4×C79—41no—
780C4×C79—41no—
781C4×C79—41no—
782C4×C79—41no—
783C4×C79—41no—
784C4×C79—41no—
785C4×C79—41no—
786Dic79—22no—
787Dic79—22no—
788Dic79—22no—
789Dic79—22no—
790Dic79—41no—
791Dic79—41no—
792Dic79—41no—
793Dic79—41no—
794Dic79—41no—
795Dic79—41no—
796Dic79—41no—
797Dic79#52514yes—
798#34740—791nomaximal, Sylow
799C2×C79—24no—
800C2×C79C2×#52511yescharacteristic
801C2×C79C2×#52911yescharacteristic
802C2×C79#345511yescharacteristic
803C2×C79D4×#4111yescharacteristic
804C2×C79D4×#4111yescharacteristic
805C2×C79#347511yescharacteristic
806C2×C79#347511yescharacteristic
807D79—42no—
808D79—42no—
809D79—42no—
810D79—81no—
811C2×#529—791no—
812C22×#117—791no—
813#2481—791no—
814#2480—791no—
815#2479—791no—
816#2478—791no—
817#2477—791no—
818#2476—791no—
819#2475—791no—
820#2474—791no—
821#2473D7911yescharacteristic, complemented
822#2472—791no—
823#2471—791no—
824#2470—791no—
825#2449—791no—
826#2443—791no—
827#2424—791no—
828#2418—791no—
829#2396—791no—
830#2395—791no—
831#2395—791no—
832#2392—791no—
833C4×C22⋊Q8—791no—
834C4×#121—791no—
835C4×#120—791no—
836C4×#120—791no—
837#2298—791no—
838#2293—791no—
839#2290—791no—
840#2290—791no—
841C42×D4—791no—
842C79#3474011yescharacteristic, complemented, Sylow
843C24×C4—791no—
844#529—1588no—
845C2×#126—791no—
846C2×#126—791no—
847C2×#125C2×D7911yescharacteristic, complemented
848C2×#124—791no—
849C2×#123—791no—
850C2×#123—791no—
851C2×C22⋊Q8—791no—
852C2×C22⋊Q8—791no—
853C2×#121—791no—
854C2×#121—791no—
855C2×#120—791no—
856C2×#120—791no—
857C2×C4×Q8—791no—
858C2×C4×D4—791no—
859C2×C4×D4—791no—
860C2×C4×D4—791no—
861C2×C4×D4—791no—
862C2×C4×D4—791no—
863C2×C4×D4—791no—
864C2×C4×D4—791no—
865C2×C4×D4—791no—
866C2×C4×D4—791no—
867C2×#117—791no—
868C2×#117—791no—
869C2×#117—791no—
870C2×#117—791no—
871C2×#117—791no—
872C2×#117—791no—
873C2×#117—791no—
874C2×#117—791no—
875C2×#117—791no—
876C2×#117—1588no—
877C22×C4⋊C4—791no—
878C22×C4⋊C4C2×D7911yescharacteristic
879C22×C22⋊C4—791no—
880C22×C22⋊C4—791no—
881C22×C42—791no—
882C22×C42—791no—
883C22×C42—791no—
884#400—791no—
885#400—791no—
886#400C2×D7911yescharacteristic, complemented
887#399—791no—
888#399—791no—
889#399—791no—
890#398—791no—
891#398—791no—
892#398C2×D7911yescharacteristic, complemented
893#398C2×D7911yescharacteristic, complemented
894#398C2×D7911yescharacteristic, complemented
895#397—791no—
896#397—791no—
897#397—791no—
898#397—791no—
899#397—791no—
900#397—791no—
901#397—791no—
902#396—791no—
903#396—791no—
904#396—791no—
905#396—791no—
906#395—791no—
907#394—791no—
908#394—791no—
909#394—791no—
910#394—791no—
911#394—791no—
912#394—791no—
913#394—791no—
914#393—791no—
915#392—791no—
916#391—791no—
917#390—791no—
918#390—791no—
919#390—791no—
920#389—791no—
921#389—791no—
922#389—791no—
923#389C2×D7911yescharacteristic, complemented
924#388—791no—
925#388—791no—
926#388—791no—
927#388—791no—
928#388—791no—
929#388—791no—
930#388—791no—
931#388—791no—
932#388—791no—
933#388—791no—
934#388—791no—
935#388—791no—
936#388—791no—
937#388—791no—
938#387—791no—
939#387—791no—
940#387—791no—
941#387—791no—
942#387—791no—
943#387—791no—
944#387—791no—
945#387—791no—
946#387C2×D7911yescharacteristic, complemented
947#387C2×D7911yescharacteristic, complemented
948#386—791no—
949#386—791no—
950#386—791no—
951#386—791no—
952#386—791no—
953#386—791no—
954#386—791no—
955#386—791no—
956#386—791no—
957#386—791no—
958#386—791no—
959#386—791no—
960#385—791no—
961#385—791no—
962#385—791no—
963#385—791no—
964#385—791no—
965#385—791no—
966#385—791no—
967#385—791no—
968#385C2×D7911yescharacteristic
969#385C2×D7911yescharacteristic
970#385C2×D7911yescharacteristic
971#385C2×D7911yescharacteristic
972#380—791no—
973#380C2×D7911yescharacteristic
974#379—791no—
975#379—791no—
976C4×C4⋊C4—791no—
977C4×C4⋊C4—791no—
978C4×C4⋊C4—791no—
979C4×C4⋊C4—791no—
980C4×C4⋊C4—791no—
981C4×C4⋊C4—791no—
982C4×C4⋊C4—791no—
983C4×C4⋊C4—791no—
984C4×C22⋊C4—791no—
985C4×C22⋊C4—791no—
986C4×C22⋊C4—791no—
987C4×C22⋊C4—791no—
988C4×C22⋊C4—791no—
989C4×C22⋊C4—791no—
990C4×C22⋊C4—791no—
991C4×C22⋊C4—791no—
992C4×C22⋊C4—791no—
993C4×C22⋊C4—791no—
994C4×C22⋊C4—791no—
995C4×C22⋊C4—791no—
996C4×C22⋊C4—791no—
997C4×C22⋊C4C2×D7911yescharacteristic
998#376—791no—
999C43—791no—
1000C25—791no—
1001C22×Q8—791no—
1002C22×D4—791no—
1003C22×D4—791no—
1004C22×D4—791no—
1005C22×D4—791no—
1006C22×D4—791no—
1007C22×D4—791no—
1008C22×D4—791no—
1009C23×C4—791no—
1010C23×C4—791no—
1011C23×C4—791no—
1012C23×C4—791no—
1013C23×C4—791no—
1014C23×C4—791no—
1015C23×C4—791no—
1016C23×C4—791no—
1017C23×C4—791no—
1018C23×C4—791no—
1019C23×C4—791no—
1020C23×C4—1584no—
1021C23×C4—1584no—
1022C23×C4—1584no—
1023C23×C4C22×D7911yescharacteristic
1024C23×C4C22×D7911yescharacteristic
1025C23×C4C22×D7911yescharacteristic
1026#126—1584no—
1027#126—1584no—
1028#125—24no—
1029#124—1584no—
1030#123—1584no—
1031#123—1584no—
1032C22⋊Q8—1584no—
1033C22⋊Q8—1584no—
1034#121—1584no—
1035#121—1584no—
1036#120—1584no—
1037#120—1584no—
1038C4×Q8—1584no—
1039C4×D4—1584no—
1040C4×D4—1584no—
1041C4×D4—1584no—
1042C4×D4—1584no—
1043C4×D4—1584no—
1044C4×D4—1584no—
1045C4×D4—1584no—
1046C4×D4—1584no—
1047C4×D4—1584no—
1048#117—798no—
1049#117—1584no—
1050#117—1584no—
1051#117—1584no—
1052#117—1584no—
1053#117—1584no—
1054#117—1584no—
1055#117—1584no—
1056#117—1584no—
1057C2×C4⋊C4—24no—
1058C2×C4⋊C4—791no—
1059C2×C4⋊C4—791no—
1060C2×C4⋊C4—791no—
1061C2×C4⋊C4—791no—
1062C2×C4⋊C4—791no—
1063C2×C4⋊C4—791no—
1064C2×C4⋊C4—791no—
1065C2×C4⋊C4—791no—
1066C2×C4⋊C4—791no—
1067C2×C4⋊C4—791no—
1068C2×C4⋊C4—791no—
1069C2×C4⋊C4—791no—
1070C2×C4⋊C4—791no—
1071C2×C4⋊C4—791no—
1072C2×C4⋊C4—791no—
1073C2×C4⋊C4—791no—
1074C2×C4⋊C4—791no—
1075C2×C4⋊C4—791no—
1076C2×C4⋊C4—1584no—
1077C2×C4⋊C4C22×D7911yescharacteristic
1078C2×C4⋊C4C22×D7911yescharacteristic
1079C2×C4⋊C4C22×D7911yescharacteristic
1080C2×C4⋊C4C22×D7911yescharacteristic
1081C2×C4⋊C4C22×D7911yescharacteristic
1082C2×C4⋊C4C22×D7911yescharacteristic
1083C2×C4⋊C4C22×D7911yescharacteristic
1084C2×C4⋊C4C22×D7911yescharacteristic
1085C2×C4⋊C4C22×D7911yescharacteristic
1086C2×C4⋊C4C22×D7911yescharacteristic
1087C2×C4⋊C4C22×D7911yescharacteristic
1088C2×C4⋊C4C22×D7911yescharacteristic
1089C2×C4⋊C4C22×D7911yescharacteristic
1090C2×C4⋊C4C22×D7911yescharacteristic
1091C2×C22⋊C4—791no—
1092C2×C22⋊C4—791no—
1093C2×C22⋊C4—791no—
1094C2×C22⋊C4—791no—
1095C2×C22⋊C4—791no—
1096C2×C22⋊C4—791no—
1097C2×C22⋊C4—791no—
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—1584no—
1132C2×C22⋊C4—1584no—
1133C2×C22⋊C4C22×D7911yescharacteristic
1134C2×C22⋊C4C22×D7911yescharacteristic
1135C2×C22⋊C4C22×D7911yescharacteristic
1136C2×C22⋊C4C22×D7911yescharacteristic
1137C2×C42—791no—
1138C2×C42—791no—
1139C2×C42—791no—
1140C2×C42—791no—
1141C2×C42—791no—
1142C2×C42—791no—
1143C2×C42—791no—
1144C2×C42—791no—
1145C2×C42—791no—
1146C2×C42—791no—
1147C2×C42—791no—
1148C2×C42—791no—
1149C2×C42—791no—
1150C2×C42—791no—
1151C2×C42—791no—
1152C2×C42—791no—
1153C2×C42—791no—
1154C2×C42—791no—
1155C2×C42—1584no—
1156C2×C42—1584no—
1157C2×C42—1584no—
1158C2×C42C22×D7911yescharacteristic
1159C2×C42C22×D7911yescharacteristic
1160#95—791no—
1161#95—791no—
1162#95—791no—
1163#95—791no—
1164#95—791no—
1165#95—791no—
1166#95—791no—
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#95C22×D7911yescharacteristic
1185#95C22×D7911yescharacteristic
1186#95C22×D7911yescharacteristic
1187#95C22×D7911yescharacteristic
1188#95C22×D7911yescharacteristic
1189#95C22×D7911yescharacteristic
1190#95C22×D7911yescharacteristic
1191#95C22×D7911yescharacteristic
1192#95C22×D7911yescharacteristic
1193#95C22×D7911yescharacteristic
1194#95C22×D7911yescharacteristic
1195#95C22×D7911yescharacteristic
1196C24—3161no—
1197C24—3161no—
1198C24—791no—
1199C24—791no—
1200C24—791no—
1201C24—791no—
1202C24—1582no—
1203C24—1582no—
1204C24—1582no—
1205C24—1582no—
1206C24—1582no—
1207C24C23×D7911yescharacteristic
1208C2×Q8—3161no—
1209C2×Q8—1582no—
1210C2×Q8—1582no—
1211C2×D4—3161no—
1212C2×D4—3161no—
1213C2×D4—3161no—
1214C2×D4—3161no—
1215C2×D4—3161no—
1216C2×D4—794no—
1217C2×D4—1582no—
1218C2×D4—1582no—
1219C2×D4—1582no—
1220C2×D4—1582no—
1221C2×D4—1582no—
1222C2×D4—1582no—
1223C2×D4—1582no—
1224C2×D4—1582no—
1225C2×D4—1582no—
1226C2×D4—1582no—
1227C2×D4—1582no—
1228C2×D4—1582no—
1229C2×D4—1582no—
1230C2×D4—1582no—
1231C2×D4—1582no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—41no—
1240C22×C4—41no—
1241C22×C4—3161no—
1242C22×C4—3161no—
1243C22×C4—3161no—
1244C22×C4—3161no—
1245C22×C4—791no—
1246C22×C4—794no—
1247C22×C4—791no—
1248C22×C4—791no—
1249C22×C4—791no—
1250C22×C4—791no—
1251C22×C4—794no—
1252C22×C4—794no—
1253C22×C4—791no—
1254C22×C4—791no—
1255C22×C4—791no—
1256C22×C4—791no—
1257C22×C4—791no—
1258C22×C4—791no—
1259C22×C4—791no—
1260C22×C4—1582no—
1261C22×C4—1582no—
1262C22×C4—1582no—
1263C22×C4—1582no—
1264C22×C4—1582no—
1265C22×C4—1582no—
1266C22×C4—1582no—
1267C22×C4—1582no—
1268C22×C4—1582no—
1269C22×C4—1582no—
1270C22×C4—1582no—
1271C22×C4—1582no—
1272C22×C4—1582no—
1273C22×C4—1582no—
1274C22×C4—1582no—
1275C22×C4—1582no—
1276C22×C4—15832no—
1277C22×C4—1582no—
1278C22×C4—1582no—
1279C22×C4—1582no—
1280C22×C4—1582no—
1281C22×C4—1582no—
1282C22×C4—1582no—
1283C22×C4—1582no—
1284C22×C4—1582no—
1285C22×C4—1582no—
1286C22×C4—1582no—
1287C22×C4C23×D7911yescharacteristic
1288C22×C4C23×D7911yescharacteristic
1289C22×C4C23×D7911yescharacteristic
1290C22×C4C23×D7911yescharacteristic
1291C22×C4C23×D7911yescharacteristic
1292C22×C4C23×D7911yescharacteristic
1293C22×C4C23×D7911yescharacteristic
1294C22×C4C23×D7911yescharacteristic
1295C22×C4C23×D7911yescharacteristic
1296C22×C4C23×D7911yescharacteristic
1297C22×C4C23×D7911yescharacteristic
1298C22×C4C23×D7911yescharacteristic
1299C22×C4C23×D7911yescharacteristic
1300C22×C4C23×D7911yescharacteristic
1301C4⋊C4—22no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—41no—
1312C4⋊C4—41no—
1313C4⋊C4—41no—
1314C4⋊C4—3161no—
1315C4⋊C4—3161no—
1316C4⋊C4—3161no—
1317C4⋊C4—794no—
1318C4⋊C4—1582no—
1319C4⋊C4—1582no—
1320C4⋊C4—1582no—
1321C4⋊C4—1582no—
1322C4⋊C4—1582no—
1323C4⋊C4—1582no—
1324C4⋊C4—1582no—
1325C4⋊C4—1582no—
1326C4⋊C4—1582no—
1327C4⋊C4—1582no—
1328C4⋊C4—1582no—
1329C4⋊C4—1582no—
1330C4⋊C4—1582no—
1331C4⋊C4—1582no—
1332C4⋊C4D4×D7914yes—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—3161no—
1337C22⋊C4—3161no—
1338C22⋊C4—3161no—
1339C22⋊C4—3161no—
1340C22⋊C4—3161no—
1341C22⋊C4—3161no—
1342C22⋊C4—3161no—
1343C22⋊C4—3161no—
1344C22⋊C4—794no—
1345C22⋊C4—794no—
1346C22⋊C4—1582no—
1347C22⋊C4—1582no—
1348C22⋊C4—1582no—
1349C22⋊C4—1582no—
1350C22⋊C4—1582no—
1351C22⋊C4—1582no—
1352C22⋊C4—1582no—
1353C22⋊C4—1582no—
1354C22⋊C4—1582no—
1355C22⋊C4—1582no—
1356C22⋊C4—1582no—
1357C22⋊C4—1582no—
1358C22⋊C4—1582no—
1359C22⋊C4—1582no—
1360C22⋊C4—1582no—
1361C22⋊C4—1582no—
1362C22⋊C4—1582no—
1363C22⋊C4—1582no—
1364C22⋊C4—1582no—
1365C22⋊C4—1582no—
1366C22⋊C4—1582no—
1367C22⋊C4—1582no—
1368C22⋊C4—1582no—
1369C22⋊C4—1582no—
1370C22⋊C4—1582no—
1371C22⋊C4—1582no—
1372C22⋊C4—1582no—
1373C22⋊C4—1582no—
1374C22⋊C4—1582no—
1375C22⋊C4—1582no—
1376C22⋊C4#1192962514yes—
1377C42—22no—
1378C42—41no—
1379C42—3161no—
1380C42—794no—
1381C42—794no—
1382C42—1582no—
1383C42—1582no—
1384C42—1582no—
1385C42—1582no—
1386C42—1582no—
1387C42—1582no—
1388C42—1582no—
1389C42—1582no—
1390C42—1582no—
1391C42—1582no—
1392C42—1582no—
1393C42—1582no—
1394C42—1582no—
1395C42—1582no—
1396C42—1582no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—3164no—
1402C23—3164no—
1403C23—3164no—
1404C23—3164no—
1405C23—3164no—
1406C23—3164no—
1407C23—792no—
1408C23—792no—
1409C23—792no—
1410C23—1588no—
1411C23—1581no—
1412C23—1581no—
1413C23—1581no—
1414C23—1581no—
1415C23—1581no—
1416C23—1581no—
1417C23—1581no—
1418C23—1581no—
1419C23—1581no—
1420C23—1581no—
1421C23—1581no—
1422C23—1581no—
1423C23—1581no—
1424C23—1581no—
1425C23—1581no—
1426C23—1581no—
1427C23—1581no—
1428C23—1581no—
1429C23—1581no—
1430C23—1581no—
1431C23—1581no—
1432C23—1581no—
1433C23—1581no—
1434C23—1581no—
1435C23—1581no—
1436C23#41×D7912yes—
1437C23#41×D7912yes—
1438C23C2×#1192962512yes—
1439C23C24×D7911yescharacteristic
1440Q8—3164no—
1441D4—3164no—
1442D4—3164no—
1443D4—3164no—
1444D4—3164no—
1445D4—3164no—
1446D4—3164no—
1447D4—1588no—
1448C2×C4—28no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—44no—
1486C2×C4—44no—
1487C2×C4—3164no—
1488C2×C4—3164no—
1489C2×C4—3164no—
1490C2×C4—3164no—
1491C2×C4—3164no—
1492C2×C4—3164no—
1493C2×C4—792no—
1494C2×C4—792no—
1495C2×C4—792no—
1496C2×C4—792no—
1497C2×C4—792no—
1498C2×C4—792no—
1499C2×C4—792no—
1500C2×C4—1588no—
1501C2×C4—1588no—
1502C2×C4—1588no—
1503C2×C4—1588no—
1504C2×C4—1581no—
1505C2×C4—1581no—
1506C2×C4—1581no—
1507C2×C4—1581no—
1508C2×C4—1581no—
1509C2×C4—1581no—
1510C2×C4—1581no—
1511C2×C4—1581no—
1512C2×C4—1581no—
1513C2×C4—1581no—
1514C2×C4—1581no—
1515C2×C4—1581no—
1516C2×C4—1581no—
1517C2×C4—1581no—
1518C2×C4—1581no—
1519C2×C4—1581no—
1520C2×C4—1581no—
1521C2×C4—1581no—
1522C2×C4—1581no—
1523C2×C4—1581no—
1524C2×C4—1581no—
1525C2×C4—1588no—
1526C2×C4—1581no—
1527C2×C4—1581no—
1528C2×C4—1581no—
1529C2×C4—1581no—
1530C2×C4—1581no—
1531C2×C4—1581no—
1532C2×C4—1581no—
1533C2×C4—1581no—
1534C2×C4C2×D4×D7912yes—
1535C2×C4C2×D4×D7912yes—
1536C2×C4C2×D4×D7912yes—
1537C2×C4#41×D7912yes—
1538C2×C4C2×#1192962512yes—
1539C2×C4C2×#1192962512yes—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—22no—
1546C22—31616no—
1547C22—3161no—
1548C22—3161no—
1549C22—3161no—
1550C22—3161no—
1551C22—3161no—
1552C22—3161no—
1553C22—3161no—
1554C22—3161no—
1555C22—3161no—
1556C22—3161no—
1557C22—3161no—
1558C22—3161no—
1559C22—3161no—
1560C22—3161no—
1561C22—3161no—
1562C22—3161no—
1563C22—3161no—
1564C22—3161no—
1565C22—3161no—
1566C22—1582no—
1567C22—1582no—
1568C22—1582no—
1569C22—1582no—
1570C22—1582no—
1571C22—1582no—
1572C22—1582no—
1573C22—1582no—
1574C22—1582no—
1575C22#1909909814yescomplemented
1576C22C22×D4×D7911yescharacteristic
1577C22C2×#41×D7911yescharacteristic
1578C22C2×#41×D7911yescharacteristic
1579C22C2×#41×D7911yescharacteristic
1580C22C22×#1192962511yescharacteristic
1581C22#1909939811yescharacteristic
1582C22#1909940011yescharacteristic
1583C4—22no—
1584C4—22no—
1585C4—22no—
1586C4—22no—
1587C4—22no—
1588C4—22no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—3161no—
1598C4—3161no—
1599C4—3161no—
1600C4—3161no—
1601C4—3161no—
1602C4—3161no—
1603C4—3161no—
1604C4—794no—
1605C4—1582no—
1606C4—1582no—
1607C4—1582no—
1608C4—1582no—
1609C2—24no—
1610C2—3162no—
1611C2—3162no—
1612C2—3162no—
1613C2—6321no—
1614C2#525×D7911yescharacteristic
1615C2C2×#1909909811yescharacteristic
1616C2#2377678611yescharacteristic
1617C2#2377688411yescharacteristic
1618C2D4×#1192962511yescharacteristic
1619C2#2377695311yescharacteristic
1620C2#2377696611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2473C2
prime radical#23766934C2
hypercenter#2473D79
hypocenterC79#34740
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2473

Complements

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

NH ≅ G/Ntype
1. C2×#19099098C2semidirect
2. C22×#14579119C2semidirect
3. #23767658C2semidirect
4. #23767651C2semidirect
5. #23767624C2semidirect
6. #23767617C2semidirect
7. #23767596C2semidirect
8. #23767589C2semidirect
9. #23767567C2semidirect
10. #23767560C2semidirect
11. #23767526C2semidirect
12. #23767509C2semidirect
13. #23767502C2semidirect
14. #23767207C2semidirect
15. #23767135C2semidirect
17. #23766864C2semidirect
18. #23766677C2semidirect
19. #23766666C2semidirect
20. #23766664C2semidirect
21. #23766641C2semidirect
22. #23765932C2semidirect
23. #23765906C2semidirect
24. #23765901C2semidirect
25. #23765901C2semidirect
26. #23765892C2semidirect
27. #23765858C2semidirect
28. #23765838C2semidirect
29. #23765836C2semidirect
30. C4×(C22⋊D79)⋊C4C2semidirect
31. C79×#2473C2semidirect
35. C2×#14579156C22semidirect
38. C2×#14579146C22semidirect
39. C2×#14579141C22semidirect
45. C2×#14579126C22semidirect
50. C2×#14579123C22semidirect
64. C2×#14579119C22semidirect
70. C2×C42×D79C22semidirect
71. #19098505C22semidirect
72. #19098502C22semidirect
73. #19098500C22semidirect
75. #19098498C22semidirect
76. #19098496C22semidirect
77. #19098493C22semidirect
82. #19098490C22semidirect
84. #19098489C22semidirect
87. #19098485C22semidirect
88. #19098485C22semidirect
89. #19098484C22semidirect
96. #19098480C22semidirect
99. #19098467C22semidirect
102. #19098464C22semidirect
103. #19098462C22semidirect
104. #19098459C22semidirect
105. #19098458C22semidirect
108. #19098455C22semidirect
109. #19098455C22semidirect
114. #19098453C22semidirect
115. #19098453C22semidirect
118. #19098452C22semidirect
119. #19098452C22semidirect
120. #19098450C22semidirect
121. #19098449C22semidirect
122. #19098449C22semidirect
123. #19098448C22semidirect
124. #19098448C22semidirect
125. #19098446C22semidirect
126. #19098444C22semidirect
127. #19098444C22semidirect
141. #19098437C22semidirect
147. #19098434C22semidirect
151. C4⋊C4×Dic79C22semidirect
152. C4⋊C4×Dic79C22semidirect
153. C4⋊C4×Dic79C22semidirect
154. C4×Dic79⋊C4C22semidirect
155. #19098414C22semidirect
156. #19098414C22semidirect
157. #19098414C22semidirect
158. #19098414C22semidirect
162. C4×(C2×D79)⋊C4C22semidirect
167. #19098410C22semidirect
168. #19098410C22semidirect
169. #19098410C22semidirect
170. #19098410C22semidirect
171. #19098410C22semidirect
172. #19098408C22semidirect
173. C42×Dic79C22semidirect
174. C2×#125×C79C22semidirect
176. #400×C79C22semidirect
177. #398×C79C22semidirect
178. #398×C79C22semidirect
179. #398×C79C22semidirect
180. #389×C79C22semidirect
181. #387×C79C22semidirect
182. #387×C79C22semidirect
241. #14579119D4semidirect
735. C22×C79#529semidirect
821. #2473D79semidirect
842. C79#34740semidirect
847. C2×#125C2×D79semidirect
886. #400C2×D79semidirect
892. #398C2×D79semidirect
893. #398C2×D79semidirect
894. #398C2×D79semidirect
923. #389C2×D79semidirect
946. #387C2×D79semidirect
947. #387C2×D79semidirect
1575. C22#19099098semidirect

Maximal subgroups

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

subgroupindex
C2×#190990982
C22×#145791192
#237676582
#237676512
#237676242
#237676172
#237675962
#237675892
#237675672
#237675602
#237675262
#237675092
#237675022
#237672072
#237671352
#237669342
#237668642
#237666772
#237666662
#237666642
#237666412
#237659322
#237659062
#237659012
#237658922
#237658582
#237658382
#237658362
C4×(C22⋊D79)⋊C42
C79×#24732
#3474079