Finite Group Databasebeta

← #34457087

Subgroups — #34457087

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×#19099099C211yesmaximal, characteristic, complemented
2C22×#14579119C211yesmaximal, characteristic, complemented
3#23767655C211yesmaximal, characteristic, complemented
4#23767648C211yesmaximal, characteristic, complemented
5#23767629C211yesmaximal, characteristic, complemented
6#23767622C211yesmaximal, characteristic, complemented
7#23767597C211yesmaximal, characteristic, complemented
8#23767590C211yesmaximal, characteristic, complemented
9#23767566C211yesmaximal, characteristic, complemented
10#23767559C211yesmaximal, characteristic, complemented
11#23767540C211yesmaximal, characteristic, complemented
12#23767533C211yesmaximal, characteristic, complemented
13#23767504C211yesmaximal, characteristic, complemented
14#23767497C211yesmaximal, characteristic, complemented
15#23767133C211yesmaximal, characteristic, complemented
16#23766930C211yesmaximal, characteristic
17#23766860C211yesmaximal, characteristic, complemented
18#23766671C211yesmaximal, characteristic, complemented
19#23766665C211yesmaximal, characteristic, complemented
20#23766664C211yesmaximal, characteristic, complemented
21#23766645C211yesmaximal, characteristic, complemented
22C22⋊Q8×Dic79C211yesmaximal, characteristic, complemented
23#23765910C211yesmaximal, characteristic, complemented
24#23765905C211yesmaximal, characteristic, complemented
25#23765901C211yesmaximal, characteristic, complemented
26#23765892C211yesmaximal, characteristic, complemented
27#23765858C211yesmaximal, characteristic, complemented
28#23765836C211yesmaximal, characteristic, complemented
29#23765836C211yesmaximal, characteristic, complemented
30C4×D4×Dic79C211yesmaximal, characteristic, complemented
31C79×#2449C211yesmaximal, characteristic, complemented
32C23×C4×D79C2211yescharacteristic
33#19099099—28no—
34C2×#14579156C2211yescharacteristic
35C2×#14579156C2211yescharacteristic, complemented
36C2×#14579152C2211yescharacteristic, complemented
37C2×#14579150C2211yescharacteristic
38C2×#14579145C2211yescharacteristic
39C2×#14579145C2211yescharacteristic, complemented
40C2×#14579135C2211yescharacteristic
41C2×#14579133C2211yescharacteristic
42C2×#14579131C2211yescharacteristic
43C2×#14579129C2211yescharacteristic
44C2×Q8×Dic79C2211yescharacteristic, complemented
45C2×D4×Dic79C2211yescharacteristic
46C2×D4×Dic79C2211yescharacteristic
47C2×#14579123C2211yescharacteristic
48C2×#14579123C2211yescharacteristic
49C2×(C22⋊D79)⋊C4C2211yescharacteristic
50C2×(C22⋊D79)⋊C4C2211yescharacteristic
51C2×(C22⋊D79)⋊C4C2211yescharacteristic
52C2×(C22⋊D79)⋊C4C2211yescharacteristic, complemented
53C2×#14579119—28no—
54C2×#14579119C2211yescharacteristic
55C2×#14579119C2211yescharacteristic
56C2×#14579119C2211yescharacteristic
57C2×#14579119C2211yescharacteristic
58C2×#14579119C2211yescharacteristic
59C2×#14579119C2211yescharacteristic
60C2×#14579119C2211yescharacteristic
61C2×#14579119C2211yescharacteristic
62C2×#14579119C2211yescharacteristic, complemented
63C22×C4⋊Dic79C2211yescharacteristic
64C22×(C2×D79)⋊C4C2211yescharacteristic
65C22×(C2×D79)⋊C4C2211yescharacteristic
66C22×C4×Dic79C2211yescharacteristic
67C22×C4×Dic79C2211yescharacteristic
68C22×C4×Dic79C2211yescharacteristic, complemented
69#19098502C2211yescharacteristic, complemented
70#19098502C2211yescharacteristic, complemented
71#19098501C2211yescharacteristic, complemented
72#19098500C2211yescharacteristic
73#19098500C2211yescharacteristic, complemented
74#19098496C2211yescharacteristic, complemented
75#19098495C2211yescharacteristic, complemented
76#19098495C2211yescharacteristic, complemented
77#19098495C2211yescharacteristic, complemented
78#19098492C2211yescharacteristic
79#19098490C2211yescharacteristic
80#19098490C2211yescharacteristic
81#19098489C2211yescharacteristic
82#19098489C2211yescharacteristic
83#19098489C2211yescharacteristic, complemented
84#19098488C2211yescharacteristic, complemented
85#19098485C2211yescharacteristic
86#19098485C2211yescharacteristic
87#19098485C2211yescharacteristic, complemented
88#19098480C2211yescharacteristic
89#19098480C2211yescharacteristic
90#19098480C2211yescharacteristic
91#19098479C2211yescharacteristic
92#19098479C2211yescharacteristic
93#19098479C2211yescharacteristic
94#19098479C2211yescharacteristic, complemented
95#19098474C2211yescharacteristic
96#19098472C2211yescharacteristic
97#19098470C2211yescharacteristic, complemented
98#19098465C2211yescharacteristic
99#19098464C2211yescharacteristic
100#19098463C2211yescharacteristic, complemented
101#19098462C2211yescharacteristic, complemented
102#19098462C2211yescharacteristic, complemented
103#19098460C2211yescharacteristic, complemented
104#19098455C2211yescharacteristic
105#19098455C2211yescharacteristic
106#19098455C2211yescharacteristic
107#19098455C2211yescharacteristic, complemented
108#19098455C2211yescharacteristic, complemented
109#19098455C2211yescharacteristic, complemented
110#19098454C2211yescharacteristic
111#19098453C2211yescharacteristic
112#19098453C2211yescharacteristic
113#19098453C2211yescharacteristic
114#19098453C2211yescharacteristic, complemented
115#19098453C2211yescharacteristic, complemented
116#19098452C2211yescharacteristic
117#19098451C2211yescharacteristic, complemented
118#19098450C2211yescharacteristic, complemented
119#19098450C2211yescharacteristic, complemented
120#19098449C2211yescharacteristic, complemented
121#19098449C2211yescharacteristic, complemented
122#19098449C2211yescharacteristic, complemented
123#19098448C2211yescharacteristic, complemented
124#19098446C2211yescharacteristic, complemented
125#19098444C2211yescharacteristic, complemented
126#19098444C2211yescharacteristic, complemented
127#19098442C2211yescharacteristic
128#19098442C2211yescharacteristic
129#19098442C2211yescharacteristic
130#19098442C2211yescharacteristic
131#19098441C2211yescharacteristic
132#19098441C2211yescharacteristic
133#19098440C2211yescharacteristic
134#19098440C2211yescharacteristic
135#19098439C2211yescharacteristic
136#19098439C2211yescharacteristic
137#19098438C2211yescharacteristic
138#19098438C2211yescharacteristic
139#19098438C2211yescharacteristic
140#19098438C2211yescharacteristic, complemented
141#19098437C2211yescharacteristic
142#19098437C2211yescharacteristic
143#19098436C2211yescharacteristic
144#19098434C2211yescharacteristic
145#19098434C2211yescharacteristic
146#19098423C2211yescharacteristic
147#19098421C2211yescharacteristic
148#19098418C2211yescharacteristic
149#19098418C2211yescharacteristic
150C4⋊C4×Dic79C2211yescharacteristic, complemented
151C4⋊C4×Dic79C2211yescharacteristic, complemented
152C4⋊C4×Dic79C2211yescharacteristic, complemented
153C4⋊C4×Dic79C2211yescharacteristic, complemented
154C4⋊C4×Dic79C2211yescharacteristic, complemented
155C4⋊C4×Dic79C2211yescharacteristic, complemented
156C4×C4⋊Dic79C2211yescharacteristic, complemented
157#19098414C2211yescharacteristic, complemented
158C22⋊C4×Dic79C2211yescharacteristic
159C22⋊C4×Dic79C2211yescharacteristic
160C22⋊C4×Dic79C2211yescharacteristic
161C22⋊C4×Dic79C2211yescharacteristic, complemented
162C22⋊C4×Dic79C2211yescharacteristic, complemented
163C22⋊C4×Dic79C2211yescharacteristic, complemented
164C4×C22⋊Dic79C2211yescharacteristic
165C4×C22⋊Dic79C2211yescharacteristic, complemented
166#19098410C2211yescharacteristic
167#19098410C2211yescharacteristic
168#19098410C2211yescharacteristic
169#19098410C2211yescharacteristic
170#19098410C2211yescharacteristic, complemented
171#19098410C2211yescharacteristic, complemented
172#19098408C2211yescharacteristic, complemented
173C42×Dic79C2211yescharacteristic, complemented
174C2×C22⋊Q8×C79C2211yescharacteristic
175C2×C22⋊Q8×C79C2211yescharacteristic, complemented
176C2×C4×D4×C79C2211yescharacteristic
177C22×C4⋊C4×C79C2211yescharacteristic
178#399×C79C2211yescharacteristic, complemented
179#398×C79C2211yescharacteristic, complemented
180#396×C79C2211yescharacteristic, complemented
181#395×C79C2211yescharacteristic, complemented
182#389×C79C2211yescharacteristic, complemented
183#387×C79C2211yescharacteristic, complemented
184#386×C79C2211yescharacteristic
185#386×C79C2211yescharacteristic
186#385×C79C2211yescharacteristic
187#385×C79C2211yescharacteristic
188#385×C79C2211yescharacteristic, complemented
189C24×D79C2311yescharacteristic
190C22×D316C2311yescharacteristic
191C22×D316C2311yescharacteristic
192C22×C22⋊D79C2311yescharacteristic
193C22×C22⋊D79C2311yescharacteristic
194C22×C22⋊D79C2311yescharacteristic
195C22×C22⋊D79C2311yescharacteristic
196C23×Dic79C2311yescharacteristic
197C23×Dic79C2311yescharacteristic
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
209#14579156—24no—
210#14579156—24no—
211#14579152—24no—
212#14579150—24no—
213#14579145—24no—
214#14579145—24no—
215#14579135—24no—
216#14579133—24no—
217#14579131—24no—
218#14579129—24no—
219Q8×Dic79—24no—
220D4×Dic79—24no—
221D4×Dic79—24no—
222#14579123—24no—
223#14579123—24no—
224(C22⋊D79)⋊C4—24no—
225(C22⋊D79)⋊C4—24no—
226(C22⋊D79)⋊C4—24no—
227(C22⋊D79)⋊C4—24no—
228#14579119—24no—
229#14579119—24no—
230#14579119—24no—
231#14579119—24no—
232#14579119—24no—
233#14579119—24no—
234#14579119—24no—
235#14579119—24no—
236#14579119D418yescomplemented
237C2×C4⋊Dic79—24no—
238C2×C4⋊Dic79C2311yescharacteristic
239C2×C4⋊Dic79C2311yescharacteristic
240C2×C4⋊Dic79C2311yescharacteristic
241C2×C4⋊Dic79C2311yescharacteristic
242C2×C4⋊Dic79C2311yescharacteristic
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×C4⋊Dic79C2311yescharacteristic
252C2×Dic79⋊C4C2311yescharacteristic
253C2×Dic79⋊C4C2311yescharacteristic
254C2×Dic79⋊C4C2311yescharacteristic
255C2×Dic79⋊C4C2311yescharacteristic
256C2×Dic79⋊C4C2311yescharacteristic
257C2×Dic79⋊C4C2311yescharacteristic
258C2×C22⋊Dic79C2311yescharacteristic
259C2×C22⋊Dic79C2311yescharacteristic
260C2×C22⋊Dic79C2311yescharacteristic
261C2×C22⋊Dic79C2311yescharacteristic
262C2×C22⋊Dic79C2311yescharacteristic
263C2×C22⋊Dic79C2311yescharacteristic
264C2×(C2×D79)⋊C4—24no—
265C2×(C2×D79)⋊C4—24no—
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×C4×Dic79—24no—
297C2×C4×Dic79—24no—
298C2×C4×Dic79—24no—
299C2×C4×Dic79C2311yescharacteristic
300C2×C4×Dic79C2311yescharacteristic
301C2×C4×Dic79C2311yescharacteristic
302C2×C4×Dic79C2311yescharacteristic
303C2×C4×Dic79C2311yescharacteristic
304C2×C4×Dic79C2311yescharacteristic
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
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
334C79⋊#95C2311yescharacteristic
335C79⋊#95C2311yescharacteristic
336C79⋊#95C2311yescharacteristic
337C79⋊#95C2311yescharacteristic
338C79⋊#95C2311yescharacteristic
339C79⋊#95C2311yescharacteristic
340C79⋊#95C2311yescharacteristic
341C79⋊#95C2311yescharacteristic
342C79⋊#95C2311yescharacteristic
343C79⋊#95C2311yescharacteristic
344C79⋊#95C2311yescharacteristic
345C79⋊#95C2311yescharacteristic
346C22×Q8×C79C2311yescharacteristic
347C22×D4×C79C2311yescharacteristic
348C23×C4×C79C2311yescharacteristic
349C23×C4×C79C2311yescharacteristic
350C23×C4×C79C2311yescharacteristic
351C23×C4×C79C2311yescharacteristic
352C22⋊Q8×C79—24no—
353C22⋊Q8×C79—24no—
354C4×D4×C79—24no—
355C2×C4⋊C4×C79—24no—
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×C4⋊C4×C79C2311yescharacteristic
368C2×C22⋊C4×C79C2311yescharacteristic
369C2×C22⋊C4×C79C2311yescharacteristic
370C2×C22⋊C4×C79C2311yescharacteristic
371C2×C22⋊C4×C79C2311yescharacteristic
372C2×C22⋊C4×C79C2311yescharacteristic
373C2×C22⋊C4×C79C2311yescharacteristic
374C2×C22⋊C4×C79C2311yescharacteristic
375C2×C22⋊C4×C79C2311yescharacteristic
376C2×C42×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
395C2×D316—22no—
396C2×D316—22no—
397C2×D316—22no—
398C2×D316—22no—
399C2×D316—41no—
400C2×D316—41no—
401C2×C22⋊D79—22no—
402C2×C22⋊D79—22no—
403C2×C22⋊D79—22no—
404C2×C22⋊D79—22no—
405C2×C22⋊D79—22no—
406C2×C22⋊D79—22no—
407C2×C22⋊D79—22no—
408C2×C22⋊D79—22no—
409C2×C22⋊D79—22no—
410C2×C22⋊D79—41no—
411C2×C22⋊D79—41no—
412C2×C22⋊D79—41no—
413C22×Dic79—22no—
414C22×Dic79—22no—
415C22×Dic79—22no—
416C22×Dic79—22no—
417C22×Dic79—22no—
418C22×Dic79—22no—
419C22×Dic79—22no—
420C22×Dic79—22no—
421C22×Dic79—22no—
422C22×Dic79—22no—
423C22×Dic79—22no—
424C22×Dic79—41no—
425C22×Dic79—41no—
426C22×Dic79—41no—
427C22×Dic79#4114yes—
428C22×Dic79C2411yescharacteristic
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×D79C2×D414yes—
456C2×C4×D79#4114yes—
457C4⋊Dic79—22no—
458C4⋊Dic79—22no—
459C4⋊Dic79—22no—
460C4⋊Dic79—22no—
461C4⋊Dic79—22no—
462C4⋊Dic79—22no—
463C4⋊Dic79—22no—
464C4⋊Dic79—22no—
465C4⋊Dic79—22no—
466C4⋊Dic79—41no—
467C4⋊Dic79—41no—
468C4⋊Dic79—41no—
469C4⋊Dic79—41no—
470C4⋊Dic79C2×D414yes—
471Dic79⋊C4—22no—
472Dic79⋊C4—22no—
473Dic79⋊C4—22no—
474Dic79⋊C4—22no—
475Dic79⋊C4—22no—
476Dic79⋊C4—41no—
477C22⋊Dic79—22no—
478C22⋊Dic79—22no—
479C22⋊Dic79—22no—
480C22⋊Dic79—22no—
481C22⋊Dic79—22no—
482C22⋊Dic79—22no—
483(C2×D79)⋊C4—22no—
484(C2×D79)⋊C4—22no—
485(C2×D79)⋊C4—22no—
486(C2×D79)⋊C4—22no—
487(C2×D79)⋊C4—22no—
488(C2×D79)⋊C4—22no—
489(C2×D79)⋊C4—22no—
490(C2×D79)⋊C4—22no—
491(C2×D79)⋊C4—22no—
492(C2×D79)⋊C4—22no—
493(C2×D79)⋊C4—22no—
494(C2×D79)⋊C4—22no—
495(C2×D79)⋊C4—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—41no—
505(C2×D79)⋊C4—41no—
506(C2×D79)⋊C4—41no—
507(C2×D79)⋊C4—41no—
508(C2×D79)⋊C4—41no—
509(C2×D79)⋊C4—41no—
510(C2×D79)⋊C4—41no—
511(C2×D79)⋊C4C2×D414yes—
512(C2×D79)⋊C4C2×D414yes—
513C4×Dic79—22no—
514C4×Dic79—22no—
515C4×Dic79—22no—
516C4×Dic79—22no—
517C4×Dic79—22no—
518C4×Dic79—22no—
519C4×Dic79—22no—
520C4×Dic79—22no—
521C4×Dic79—22no—
522C4×Dic79—22no—
523C4×Dic79—22no—
524C4×Dic79—22no—
525C4×Dic79—22no—
526C4×Dic79—22no—
527C4×Dic79—22no—
528C4×Dic79—41no—
529C4×Dic79—41no—
530C4×Dic79C2×D414yes—
531C4×Dic79C2×D414yes—
532C24×C79C2411yescharacteristic
533C24×C79C2411yescharacteristic
534C2×Q8×C79—22no—
535C2×Q8×C79—22no—
536C2×Q8×C79—41no—
537C2×D4×C79—22no—
538C2×D4×C79—22no—
539C2×D4×C79#4114yes—
540C22×C4×C79—22no—
541C22×C4×C79—22no—
542C22×C4×C79—22no—
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—41no—
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
565C4⋊C4×C79—22no—
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—41no—
576C4⋊C4×C79C2×D414yes—
577C22⋊C4×C79—22no—
578C22⋊C4×C79—22no—
579C22⋊C4×C79—22no—
580C22⋊C4×C79—22no—
581C22⋊C4×C79—22no—
582C22⋊C4×C79—22no—
583C22⋊C4×C79—41no—
584C22⋊C4×C79#4114yes—
585C42×C79—22no—
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×C79C2×#4112yes—
597C23×C79C2×#4112yes—
598C23×C79C2×#4112yes—
599C23×C79C2×#4112yes—
600C23×C79C2511yescharacteristic
601C22×D79—28no—
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—21no—
621C22×D79—44no—
622C22×D79—44no—
623C22×D79—44no—
624C22×D79—44no—
625C22×D79—44no—
626C22×D79—44no—
627C22×D79C22×D412yes—
628C22×D79C2×#4112yes—
629Q8×C79—44no—
630D4×C79—28no—
631C2×C4×C79—28no—
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—44no—
665C2×C4×C79—44no—
666C2×C4×C79—44no—
667C2×C4×C79C22×D412yes—
668C2×C4×C79C22×D412yes—
669C2×C4×C79C22×D412yes—
670C2×C4×C79C2×#4112yes—
671C2×C4×C79C2×#4112yes—
672C2×C4×C79C2×#4112yes—
673C2×C4×C79C2×#4112yes—
674C22⋊D79—44no—
675C22⋊D79—44no—
676C22⋊D79—44no—
677C22⋊D79—44no—
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—21no—
707C2×Dic79—21no—
708C2×Dic79—21no—
709C2×Dic79—21no—
710C2×Dic79—21no—
711C2×Dic79—21no—
712C2×Dic79—44no—
713C2×Dic79—44no—
714C2×Dic79—44no—
715C2×Dic79—44no—
716C2×Dic79C22×D412yes—
717C2×Dic79C22×D412yes—
718C2×Dic79C22×D412yes—
719C2×Dic79C2×#4112yes—
720C2×Dic79C2×#4112yes—
721C2×Dic79C2×#4112yes—
722D316—44no—
723D316—44no—
724C4×D79—28no—
725C4×D79—28no—
726C4×D79—28no—
727C4×D79—28no—
728C4×D79—44no—
729C22×C79—22no—
730C22×C79—22no—
731C22×C79—22no—
732C22×C79—22no—
733C22×C79—22no—
734C22×C79—22no—
735C22×C79—22no—
736C22×C79—22no—
737C22×C79—22no—
738C22×C79—41no—
739C22×C79—41no—
740C22×C79—41no—
741C22×C79—41no—
742C22×C79#52914yescomplemented
743C22×C79C23×D411yescharacteristic
744C22×C79C22×#4111yescharacteristic
745C22×C79C22×#4111yescharacteristic
746C22×C79C22×#4111yescharacteristic
747C22×C79C22×#4111yescharacteristic
748C22×C79#58511yescharacteristic
749C22×C79#58511yescharacteristic
750C2×D79—22no—
751C2×D79—22no—
752C2×D79—22no—
753C2×D79—22no—
754C2×D79—22no—
755C2×D79—22no—
756C2×D79—416no—
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—22no—
779C4×C79—41no—
780C4×C79—41no—
781C4×C79—41no—
782C4×C79—41no—
783C4×C79—41no—
784C4×C79—41no—
785Dic79—22no—
786Dic79—22no—
787Dic79—22no—
788Dic79—41no—
789Dic79—41no—
790Dic79—41no—
791Dic79—41no—
792Dic79—41no—
793Dic79—41no—
794Dic79—41no—
795Dic79—41no—
796Dic79—41no—
797Dic79#52514yes—
798#34740—791nomaximal, Sylow
799C2×C79—24no—
800C2×C79—42no—
801C2×C79C2×#52511yescharacteristic
802C2×C79C2×#52911yescharacteristic
803C2×C79#345511yescharacteristic
804C2×C79D4×#4111yescharacteristic
805C2×C79D4×#4111yescharacteristic
806C2×C79#347511yescharacteristic
807C2×C79#347511yescharacteristic
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#2473—791no—
822#2472—791no—
823#2471—791no—
824#2470—791no—
825#2449D7911yescharacteristic, complemented
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×#125—791no—
848C2×#124—791no—
849C2×#123—791no—
850C2×#123—791no—
851C2×C22⋊Q8C2×D7911yescharacteristic
852C2×C22⋊Q8C2×D7911yescharacteristic, complemented
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×D4C2×D7911yescharacteristic
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#400—791no—
887#399—791no—
888#399—791no—
889#399C2×D7911yescharacteristic, complemented
890#398—791no—
891#398—791no—
892#398—791no—
893#398—791no—
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#396C2×D7911yescharacteristic, complemented
906#395C2×D7911yescharacteristic, complemented
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#387—791no—
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#386C2×D7911yescharacteristic
959#386C2×D7911yescharacteristic
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#385—791no—
969#385C2×D7911yescharacteristic
970#385C2×D7911yescharacteristic
971#385C2×D7911yescharacteristic, complemented
972#380—791no—
973#380—791no—
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⋊C4—791no—
998#376—791no—
999C43—791no—
1000C25—791no—
1001C22×Q8C22×D7911yescharacteristic
1002C22×D4—791no—
1003C22×D4—791no—
1004C22×D4—791no—
1005C22×D4—791no—
1006C22×D4—791no—
1007C22×D4—791no—
1008C22×D4C22×D7911yescharacteristic
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—1584no—
1020C23×C4—1584no—
1021C23×C4—1584no—
1022C23×C4C22×D7911yescharacteristic
1023C23×C4C22×D7911yescharacteristic
1024C23×C4C22×D7911yescharacteristic
1025C23×C4C22×D7911yescharacteristic
1026#126—1584no—
1027#126—1584no—
1028#125—1584no—
1029#124—1584no—
1030#123—1584no—
1031#123—1584no—
1032C22⋊Q8—24no—
1033C22⋊Q8—24no—
1034#121—1584no—
1035#121—1584no—
1036#120—1584no—
1037#120—1584no—
1038C4×Q8—1584no—
1039C4×D4—24no—
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—791no—
1077C2×C4⋊C4—791no—
1078C2×C4⋊C4—1584no—
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—1584no—
1128C2×C22⋊C4—1584no—
1129C2×C22⋊C4C22×D7911yescharacteristic
1130C2×C22⋊C4C22×D7911yescharacteristic
1131C2×C22⋊C4C22×D7911yescharacteristic
1132C2×C22⋊C4C22×D7911yescharacteristic
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—791no—
1156C2×C42—1584no—
1157C2×C42—1584no—
1158C2×C42—1584no—
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#95—791no—
1185#95—791no—
1186#95—791no—
1187#95—791no—
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—1582no—
1202C24—1582no—
1203C24—1582no—
1204C24—1582no—
1205C24—1582no—
1206C24C23×D7911yescharacteristic
1207C24C23×D7911yescharacteristic
1208C2×Q8—22no—
1209C2×Q8—22no—
1210C2×Q8—41no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—3161no—
1214C2×D4—3161no—
1215C2×D4—3161no—
1216C2×D4—3161no—
1217C2×D4—3161no—
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#1192962514yes—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—41no—
1242C22×C4—41no—
1243C22×C4—41no—
1244C22×C4—3161no—
1245C22×C4—3161no—
1246C22×C4—3161no—
1247C22×C4—791no—
1248C22×C4—794no—
1249C22×C4—791no—
1250C22×C4—791no—
1251C22×C4—791no—
1252C22×C4—794no—
1253C22×C4—794no—
1254C22×C4—791no—
1255C22×C4—791no—
1256C22×C4—791no—
1257C22×C4—791no—
1258C22×C4—791no—
1259C22×C4—791no—
1260C22×C4—791no—
1261C22×C4—791no—
1262C22×C4—791no—
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—15832no—
1275C22×C4—1582no—
1276C22×C4—1582no—
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×C4—1582no—
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—3161no—
1313C4⋊C4—3161no—
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—22no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—41no—
1340C22⋊C4—3161no—
1341C22⋊C4—3161no—
1342C22⋊C4—3161no—
1343C22⋊C4—3161no—
1344C22⋊C4—3161no—
1345C22⋊C4—3161no—
1346C22⋊C4—3161no—
1347C22⋊C4—794no—
1348C22⋊C4—794no—
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#1192962314yes—
1377C42—22no—
1378C42—3161no—
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—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—3164no—
1408C23—3164no—
1409C23—3164no—
1410C23—3164no—
1411C23—3164no—
1412C23—3164no—
1413C23—792no—
1414C23—792no—
1415C23—1588no—
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#41×D7912yes—
1436C23C2×#1192962312yes—
1437C23C2×#1192962512yes—
1438C23C2×#1192962512yes—
1439C23C24×D7911yescharacteristic
1440Q8—44no—
1441D4—28no—
1442D4—3164no—
1443D4—3164no—
1444D4—3164no—
1445D4—3164no—
1446D4—3164no—
1447D4—3164no—
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—44no—
1482C2×C4—44no—
1483C2×C4—44no—
1484C2×C4—3164no—
1485C2×C4—3164no—
1486C2×C4—3164no—
1487C2×C4—3164no—
1488C2×C4—3164no—
1489C2×C4—792no—
1490C2×C4—792no—
1491C2×C4—792no—
1492C2×C4—792no—
1493C2×C4—792no—
1494C2×C4—792no—
1495C2×C4—1588no—
1496C2×C4—1588no—
1497C2×C4—1588no—
1498C2×C4—1588no—
1499C2×C4—1581no—
1500C2×C4—1581no—
1501C2×C4—1581no—
1502C2×C4—1581no—
1503C2×C4—1581no—
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—1581no—
1526C2×C4—1588no—
1527C2×C4—1581no—
1528C2×C4—1581no—
1529C2×C4—1581no—
1530C2×C4—1581no—
1531C2×C4—1581no—
1532C2×C4—1581no—
1533C2×C4C2×D4×D7912yes—
1534C2×C4C2×D4×D7912yes—
1535C2×C4C2×D4×D7912yes—
1536C2×C4#41×D7912yes—
1537C2×C4C2×#1192962312yes—
1538C2×C4C2×#1192962312yes—
1539C2×C4C2×#1192962512yes—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—31616no—
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—3161no—
1567C22—3161no—
1568C22—3161no—
1569C22—1582no—
1570C22—1582no—
1571C22—1582no—
1572C22—1582no—
1573C22—1582no—
1574C22—1582no—
1575C22#1909909914yescomplemented
1576C22C22×D4×D7911yescharacteristic
1577C22C2×#41×D7911yescharacteristic
1578C22C2×#41×D7911yescharacteristic
1579C22C22×#1192962311yescharacteristic
1580C22C22×#1192962511yescharacteristic
1581C22#1909939811yescharacteristic
1582C22#1909940011yescharacteristic
1583C4—22no—
1584C4—22no—
1585C4—22no—
1586C4—22no—
1587C4—22no—
1588C4—22no—
1589C4—22no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—3161no—
1597C4—3161no—
1598C4—3161no—
1599C4—3161no—
1600C4—3161no—
1601C4—3161no—
1602C4—3161no—
1603C4—3161no—
1604C4—3161no—
1605C4—794no—
1606C4—1582no—
1607C4—1582no—
1608C4—1582no—
1609C2—24no—
1610C2—42no—
1611C2—3162no—
1612C2—3162no—
1613C2—6321no—
1614C2#525×D7911yescharacteristic
1615C2C2×#1909909911yescharacteristic
1616C2#2377678611yescharacteristic
1617C2D4×#1192962311yescharacteristic
1618C2D4×#1192962511yescharacteristic
1619C2#2377696311yescharacteristic
1620C2#2377696611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2449C2
prime radical#23766930C2
hypercenter#2449D79
hypocenterC79#34740
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2449

Complements

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

NH ≅ G/Ntype
1. C2×#19099099C2semidirect
2. C22×#14579119C2semidirect
3. #23767655C2semidirect
4. #23767648C2semidirect
5. #23767629C2semidirect
6. #23767622C2semidirect
7. #23767597C2semidirect
8. #23767590C2semidirect
9. #23767566C2semidirect
10. #23767559C2semidirect
11. #23767540C2semidirect
12. #23767533C2semidirect
13. #23767504C2semidirect
14. #23767497C2semidirect
15. #23767133C2semidirect
17. #23766860C2semidirect
18. #23766671C2semidirect
19. #23766665C2semidirect
20. #23766664C2semidirect
21. #23766645C2semidirect
22. C22⋊Q8×Dic79C2semidirect
23. #23765910C2semidirect
24. #23765905C2semidirect
25. #23765901C2semidirect
26. #23765892C2semidirect
27. #23765858C2semidirect
28. #23765836C2semidirect
29. #23765836C2semidirect
30. C4×D4×Dic79C2semidirect
31. C79×#2449C2semidirect
35. C2×#14579156C22semidirect
36. C2×#14579152C22semidirect
39. C2×#14579145C22semidirect
44. C2×Q8×Dic79C22semidirect
52. C2×(C22⋊D79)⋊C4C22semidirect
62. C2×#14579119C22semidirect
68. C22×C4×Dic79C22semidirect
69. #19098502C22semidirect
70. #19098502C22semidirect
71. #19098501C22semidirect
73. #19098500C22semidirect
74. #19098496C22semidirect
75. #19098495C22semidirect
76. #19098495C22semidirect
77. #19098495C22semidirect
83. #19098489C22semidirect
84. #19098488C22semidirect
87. #19098485C22semidirect
94. #19098479C22semidirect
97. #19098470C22semidirect
100. #19098463C22semidirect
101. #19098462C22semidirect
102. #19098462C22semidirect
103. #19098460C22semidirect
107. #19098455C22semidirect
108. #19098455C22semidirect
109. #19098455C22semidirect
114. #19098453C22semidirect
115. #19098453C22semidirect
117. #19098451C22semidirect
118. #19098450C22semidirect
119. #19098450C22semidirect
120. #19098449C22semidirect
121. #19098449C22semidirect
122. #19098449C22semidirect
123. #19098448C22semidirect
124. #19098446C22semidirect
125. #19098444C22semidirect
126. #19098444C22semidirect
140. #19098438C22semidirect
150. C4⋊C4×Dic79C22semidirect
151. C4⋊C4×Dic79C22semidirect
152. C4⋊C4×Dic79C22semidirect
153. C4⋊C4×Dic79C22semidirect
154. C4⋊C4×Dic79C22semidirect
155. C4⋊C4×Dic79C22semidirect
156. C4×C4⋊Dic79C22semidirect
157. #19098414C22semidirect
161. C22⋊C4×Dic79C22semidirect
162. C22⋊C4×Dic79C22semidirect
163. C22⋊C4×Dic79C22semidirect
165. C4×C22⋊Dic79C22semidirect
170. #19098410C22semidirect
171. #19098410C22semidirect
172. #19098408C22semidirect
173. C42×Dic79C22semidirect
175. C2×C22⋊Q8×C79C22semidirect
178. #399×C79C22semidirect
179. #398×C79C22semidirect
180. #396×C79C22semidirect
181. #395×C79C22semidirect
182. #389×C79C22semidirect
183. #387×C79C22semidirect
188. #385×C79C22semidirect
236. #14579119D4semidirect
742. C22×C79#529semidirect
825. #2449D79semidirect
842. C79#34740semidirect
852. C2×C22⋊Q8C2×D79semidirect
889. #399C2×D79semidirect
894. #398C2×D79semidirect
905. #396C2×D79semidirect
906. #395C2×D79semidirect
923. #389C2×D79semidirect
947. #387C2×D79semidirect
971. #385C2×D79semidirect
1575. C22#19099099semidirect

Maximal subgroups

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

subgroupindex
C2×#190990992
C22×#145791192
#237676552
#237676482
#237676292
#237676222
#237675972
#237675902
#237675662
#237675592
#237675402
#237675332
#237675042
#237674972
#237671332
#237669302
#237668602
#237666712
#237666652
#237666642
#237666452
C22⋊Q8×Dic792
#237659102
#237659052
#237659012
#237658922
#237658582
#237658362
C4×D4×Dic792
C79×#24492
#3474079