Finite Group Databasebeta

← #34456061

Subgroups — #34456061

Order 20224.

3014 conjugacy classes of subgroups.

The subgroup lattice has 1724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19099099C211yesmaximal, characteristic, complemented
2C2×C4×D4×D79C211yesmaximal, characteristic, complemented
3#23767664C211yesmaximal, characteristic, complemented
4#23767649C211yesmaximal, characteristic, complemented
5#23767544C211yesmaximal, characteristic, complemented
6#23767529C211yesmaximal, characteristic, complemented
7#23767458C211yesmaximal, characteristic, complemented
8#23767443C211yesmaximal, characteristic, complemented
9#23767359C211yesmaximal, characteristic, complemented
10#23767344C211yesmaximal, characteristic, complemented
11#23767150C211yesmaximal, characteristic, complemented
12#23767063C211yesmaximal, characteristic, complemented
13#23766945C211yesmaximal, characteristic, complemented
14#23766879C211yesmaximal, characteristic, complemented
15#23766794C211yesmaximal, characteristic, complemented
16#23766773C211yesmaximal, characteristic
17#23766726C211yesmaximal, characteristic, complemented
18#23766682C211yesmaximal, characteristic, complemented
19#23766666C211yesmaximal, characteristic, complemented
20#23766645C211yesmaximal, characteristic, complemented
21#23766641C211yesmaximal, characteristic, complemented
22#23765938C211yesmaximal, characteristic, complemented
23#23765925C211yesmaximal, characteristic, complemented
24#23765910C211yesmaximal, characteristic, complemented
25#23765901C211yesmaximal, characteristic, complemented
26#23765901C211yesmaximal, characteristic, complemented
27#23765838C211yesmaximal, characteristic, complemented
28#23765836C211yesmaximal, characteristic, complemented
29#23765782C211yesmaximal, characteristic, complemented
30C2×#19098410C211yesmaximal, characteristic, complemented
31C79×#2450C211yesmaximal, characteristic, complemented
32C22×D4×D79C2211yescharacteristic
33C23×C4×D79C2211yescharacteristic
34C23×C4×D79C2211yescharacteristic
35#19099099—28no—
36C2×#14579156C2211yescharacteristic, complemented
37C2×#14579156C2211yescharacteristic, complemented
38C2×#14579152C2211yescharacteristic, complemented
39C2×#14579150C2211yescharacteristic, complemented
40C2×#14579145C2211yescharacteristic
41C2×#14579145C2211yescharacteristic, complemented
42C2×#14579142C2211yescharacteristic
43C2×#14579137C2211yescharacteristic
44C2×#14579135C2211yescharacteristic
45C2×#14579133C2211yescharacteristic
46C2×#14579131C2211yescharacteristic
47C2×#14579131C2211yescharacteristic
48C2×Q8×Dic79C2211yescharacteristic, complemented
49C2×C4×D316C2211yescharacteristic
50C2×D4×Dic79C2211yescharacteristic
51C2×#14579123C2211yescharacteristic
52C2×#14579123C2211yescharacteristic
53C2×#14579123C2211yescharacteristic, complemented
54C2×#14579123C2211yescharacteristic, complemented
55C2×C4×C22⋊D79C2211yescharacteristic
56C2×C4×C22⋊D79C2211yescharacteristic
57C2×(C22⋊D79)⋊C4C2211yescharacteristic
58C2×(C22⋊D79)⋊C4C2211yescharacteristic
59C2×(C22⋊D79)⋊C4C2211yescharacteristic, complemented
60C2×(C22⋊D79)⋊C4C2211yescharacteristic, complemented
61C4×D4×D79—28no—
62C2×#14579119C2211yescharacteristic, complemented
63C2×#14579119C2211yescharacteristic, complemented
64C2×#14579119C2211yescharacteristic, complemented
65C2×C4⋊C4×D79C2211yescharacteristic
66C22×(C2×D79)⋊C4C2211yescharacteristic
67C22×(C2×D79)⋊C4C2211yescharacteristic
68C2×C22⋊C4×D79C2211yescharacteristic
69C2×C22⋊C4×D79C2211yescharacteristic
70C22×C4×Dic79C2211yescharacteristic, complemented
71C22×C4×Dic79C2211yescharacteristic, complemented
72C2×C42×D79C2211yescharacteristic
73#19098505C2211yescharacteristic, complemented
74#19098505C2211yescharacteristic, complemented
75#19098498C2211yescharacteristic, complemented
76#19098496C2211yescharacteristic, complemented
77#19098493C2211yescharacteristic, complemented
78#19098492C2211yescharacteristic, complemented
79#19098492C2211yescharacteristic, complemented
80#19098492C2211yescharacteristic, complemented
81#19098490C2211yescharacteristic, complemented
82#19098490C2211yescharacteristic, complemented
83#19098489C2211yescharacteristic, complemented
84#19098488C2211yescharacteristic, complemented
85#19098485C2211yescharacteristic, complemented
86#19098485C2211yescharacteristic, complemented
87#19098485C2211yescharacteristic, complemented
88#19098481C2211yescharacteristic
89#19098481C2211yescharacteristic
90#19098481C2211yescharacteristic
91#19098481C2211yescharacteristic, complemented
92#19098480C2211yescharacteristic, complemented
93#19098480C2211yescharacteristic, complemented
94#19098479C2211yescharacteristic
95#19098479C2211yescharacteristic
96#19098479C2211yescharacteristic
97#19098479C2211yescharacteristic, complemented
98#19098474C2211yescharacteristic, complemented
99#19098473C2211yescharacteristic
100#19098472C2211yescharacteristic
101#19098463C2211yescharacteristic, complemented
102#19098461C2211yescharacteristic, complemented
103#19098460C2211yescharacteristic, complemented
104#19098457C2211yescharacteristic, complemented
105#19098457C2211yescharacteristic, complemented
106#19098455C2211yescharacteristic, complemented
107#19098455C2211yescharacteristic, complemented
108#19098454C2211yescharacteristic, complemented
109#19098453C2211yescharacteristic, complemented
110#19098452C2211yescharacteristic, complemented
111#19098451C2211yescharacteristic, complemented
112#19098450C2211yescharacteristic, complemented
113#19098450C2211yescharacteristic, complemented
114#19098450C2211yescharacteristic, complemented
115#19098450C2211yescharacteristic, complemented
116#19098450C2211yescharacteristic, complemented
117#19098449C2211yescharacteristic, complemented
118#19098444C2211yescharacteristic, complemented
119#19098442C2211yescharacteristic
120#19098442C2211yescharacteristic, complemented
121#19098442C2211yescharacteristic, complemented
122#19098442C2211yescharacteristic, complemented
123#19098441C2211yescharacteristic
124#19098441C2211yescharacteristic
125#19098441C2211yescharacteristic
126#19098441C2211yescharacteristic
127#19098441C2211yescharacteristic, complemented
128#19098441C2211yescharacteristic, complemented
129#19098440C2211yescharacteristic
130#19098438C2211yescharacteristic, complemented
131#19098437C2211yescharacteristic
132#19098437C2211yescharacteristic
133#19098437C2211yescharacteristic
134#19098436C2211yescharacteristic, complemented
135#19098434C2211yescharacteristic
136#19098434C2211yescharacteristic
137#19098434C2211yescharacteristic
138#19098434C2211yescharacteristic, complemented
139#19098434C2211yescharacteristic, complemented
140#19098425C2211yescharacteristic, complemented
141#19098425C2211yescharacteristic, complemented
142#19098424C2211yescharacteristic, complemented
143#19098423C2211yescharacteristic, complemented
144#19098421C2211yescharacteristic, complemented
145#19098420C2211yescharacteristic
146#19098420C2211yescharacteristic
147#19098420C2211yescharacteristic
148#19098418C2211yescharacteristic
149#19098418C2211yescharacteristic
150#19098418C2211yescharacteristic
151#19098418C2211yescharacteristic
152C4⋊C4×Dic79C2211yescharacteristic, complemented
153#19098414C2211yescharacteristic, complemented
154#19098414C2211yescharacteristic, complemented
155#19098414C2211yescharacteristic, complemented
156C22⋊C4×Dic79C2211yescharacteristic, complemented
157C22⋊C4×Dic79C2211yescharacteristic, complemented
158C22⋊C4×Dic79C2211yescharacteristic, complemented
159C22⋊C4×Dic79C2211yescharacteristic, complemented
160#19098410C2211yescharacteristic
161#19098410C2211yescharacteristic
162#19098410C2211yescharacteristic
163#19098410C2211yescharacteristic
164#19098410C2211yescharacteristic
165#19098410C2211yescharacteristic, complemented
166#19098410C2211yescharacteristic, complemented
167#19098410C2211yescharacteristic, complemented
168#19098410C2211yescharacteristic, complemented
169#19098410C2211yescharacteristic, complemented
170#19098410C2211yescharacteristic, complemented
171#19098410C2211yescharacteristic, complemented
172#19098408C2211yescharacteristic, complemented
173C2×C79⋊#95C2211yescharacteristic, complemented
174C2×C22⋊Q8×C79C2211yescharacteristic, complemented
175C2×C4×D4×C79C2211yescharacteristic
176#400×C79C2211yescharacteristic, complemented
177#398×C79C2211yescharacteristic, complemented
178#396×C79C2211yescharacteristic, complemented
179#393×C79C2211yescharacteristic, complemented
180#391×C79C2211yescharacteristic, complemented
181#387×C79C2211yescharacteristic, complemented
182#386×C79C2211yescharacteristic
183#386×C79C2211yescharacteristic
184#385×C79C2211yescharacteristic, complemented
185#385×C79C2211yescharacteristic, complemented
186#385×C79C2211yescharacteristic, complemented
187#380×C79C2211yescharacteristic, complemented
188C2×#95×C79C2211yescharacteristic, complemented
189C24×D79C2311yescharacteristic
190C24×D79C2311yescharacteristic
191C22×D316C2311yescharacteristic
192C22×D316C2311yescharacteristic
193C22×D316C2311yescharacteristic
194C22×D316C2311yescharacteristic
195C22×C22⋊D79C2311yescharacteristic
196C22×C22⋊D79C2311yescharacteristic
197C22×C22⋊D79C2311yescharacteristic
198C22×C22⋊D79C2311yescharacteristic
199C2×D4×D79—24no—
200C2×D4×D79—24no—
201C2×D4×D79—24no—
202C23×Dic79C2311yescharacteristic
203C23×Dic79C2311yescharacteristic
204C23×Dic79C2311yescharacteristic
205C23×Dic79C2311yescharacteristic
206C22×C4×D79—24no—
207C22×C4×D79—24no—
208C22×C4×D79—24no—
209C22×C4×D79—24no—
210C22×C4×D79—42no—
211C22×C4×D79—42no—
212C22×C4×D79C2311yescharacteristic
213C22×C4×D79C2311yescharacteristic
214C22×C4×D79C2311yescharacteristic
215C22×C4×D79C2311yescharacteristic
216C22×C4×D79C2311yescharacteristic
217C22×C4×D79C2311yescharacteristic
218C22×C4×D79C2311yescharacteristic
219C22×C4×D79C2311yescharacteristic
220C22×C4×D79C2311yescharacteristic
221C22×C4×D79C2311yescharacteristic
222#14579156—24no—
223#14579156—24no—
224#14579152—24no—
225#14579150—24no—
226#14579145—24no—
227#14579145—24no—
228#14579142—24no—
229#14579137—24no—
230#14579135—24no—
231#14579133—24no—
232#14579131—24no—
233#14579131—24no—
234Q8×Dic79—24no—
235C4×D316—24no—
236D4×Dic79—24no—
237#14579123—24no—
238#14579123—24no—
239#14579123—24no—
240#14579123—42no—
241C4×C22⋊D79—24no—
242C4×C22⋊D79—24no—
243(C22⋊D79)⋊C4—24no—
244(C22⋊D79)⋊C4—24no—
245(C22⋊D79)⋊C4—42no—
246(C22⋊D79)⋊C4D418yescomplemented
247#14579119—24no—
248#14579119—24no—
249#14579119—42no—
250C2×C4⋊Dic79C2311yescharacteristic
251C2×C4⋊Dic79C2311yescharacteristic
252C2×C4⋊Dic79C2311yescharacteristic
253C2×C4⋊Dic79C2311yescharacteristic
254C2×C4⋊Dic79C2311yescharacteristic
255C2×C4⋊Dic79C2311yescharacteristic
256C2×C4⋊Dic79C2311yescharacteristic
257C2×C4⋊Dic79C2311yescharacteristic
258C2×Dic79⋊C4C2311yescharacteristic
259C2×Dic79⋊C4C2311yescharacteristic
260C2×Dic79⋊C4C2311yescharacteristic
261C2×Dic79⋊C4C2311yescharacteristic
262C2×Dic79⋊C4C2311yescharacteristic
263C2×Dic79⋊C4C2311yescharacteristic
264C2×Dic79⋊C4C2311yescharacteristic
265C2×Dic79⋊C4C2311yescharacteristic
266C2×Dic79⋊C4C2311yescharacteristic
267C2×Dic79⋊C4C2311yescharacteristic
268C4⋊C4×D79—24no—
269C2×C22⋊Dic79C2311yescharacteristic
270C2×C22⋊Dic79C2311yescharacteristic
271C2×C22⋊Dic79C2311yescharacteristic
272C2×C22⋊Dic79C2311yescharacteristic
273C2×C22⋊Dic79C2311yescharacteristic
274C2×C22⋊Dic79C2311yescharacteristic
275C2×(C2×D79)⋊C4—24no—
276C2×(C2×D79)⋊C4—24no—
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×(C2×D79)⋊C4C2311yescharacteristic
304C2×(C2×D79)⋊C4C2311yescharacteristic
305C2×(C2×D79)⋊C4C2311yescharacteristic
306C2×(C2×D79)⋊C4C2311yescharacteristic
307C2×(C2×D79)⋊C4C2311yescharacteristic
308C2×(C2×D79)⋊C4C2311yescharacteristic
309C2×(C2×D79)⋊C4C2311yescharacteristic
310C2×(C2×D79)⋊C4C2311yescharacteristic
311C22⋊C4×D79—24no—
312C22⋊C4×D79—24no—
313C2×C4×Dic79—24no—
314C2×C4×Dic79—42no—
315C2×C4×Dic79C2311yescharacteristic
316C2×C4×Dic79C2311yescharacteristic
317C2×C4×Dic79C2311yescharacteristic
318C2×C4×Dic79C2311yescharacteristic
319C2×C4×Dic79C2311yescharacteristic
320C2×C4×Dic79C2311yescharacteristic
321C2×C4×Dic79C2311yescharacteristic
322C2×C4×Dic79C2311yescharacteristic
323C2×C4×Dic79C2311yescharacteristic
324C2×C4×Dic79C2311yescharacteristic
325C2×C4×Dic79C2311yescharacteristic
326C2×C4×Dic79C2311yescharacteristic
327C2×C4×Dic79C2311yescharacteristic
328C2×C4×Dic79C2311yescharacteristic
329C42×D79—24no—
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
348C79⋊#95C2311yescharacteristic
349C79⋊#95C2311yescharacteristic
350C79⋊#95C2311yescharacteristic
351C79⋊#95C2311yescharacteristic
352C79⋊#95C2311yescharacteristic
353C79⋊#95C2311yescharacteristic
354C22×Q8×C79C2311yescharacteristic
355C22×D4×C79C2311yescharacteristic
356C23×C4×C79C2311yescharacteristic
357C23×C4×C79C2311yescharacteristic
358C23×C4×C79C2311yescharacteristic
359C23×C4×C79C2311yescharacteristic
360C22⋊Q8×C79—24no—
361C4×D4×C79—24no—
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×C4⋊C4×C79C2311yescharacteristic
369C2×C4⋊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×C22⋊C4×C79C2311yescharacteristic
377C2×C22⋊C4×C79C2311yescharacteristic
378C2×C42×C79C2311yescharacteristic
379#95×C79C2311yescharacteristic
380#95×C79C2311yescharacteristic
381#95×C79C2311yescharacteristic
382#95×C79C2311yescharacteristic
383#95×C79C2311yescharacteristic
384#95×C79C2311yescharacteristic
385#95×C79C2311yescharacteristic
386#95×C79C2311yescharacteristic
387#95×C79C2311yescharacteristic
388#95×C79C2311yescharacteristic
389#95×C79C2311yescharacteristic
390#95×C79C2311yescharacteristic
391C23×D79—22no—
392C23×D79—22no—
393C23×D79—22no—
394C23×D79—22no—
395C23×D79—22no—
396C23×D79—22no—
397C23×D79—22no—
398C23×D79—22no—
399C23×D79—22no—
400C23×D79—41no—
401C23×D79—41no—
402C23×D79—41no—
403C23×D79—41no—
404C23×D79#4114yes—
405C23×D79C2411yescharacteristic
406C23×D79C2411yescharacteristic
407C23×D79C2411yescharacteristic
408C23×D79C2411yescharacteristic
409C2×D316—22no—
410C2×D316—22no—
411C2×D316—22no—
412C2×D316—22no—
413C2×D316—22no—
414C2×D316—22no—
415C2×D316—22no—
416C2×D316—22no—
417C2×D316—22no—
418C2×D316—41no—
419C2×D316—41no—
420C2×D316—41no—
421C2×C22⋊D79—22no—
422C2×C22⋊D79—22no—
423C2×C22⋊D79—22no—
424C2×C22⋊D79—22no—
425C2×C22⋊D79—22no—
426C2×C22⋊D79—22no—
427C2×C22⋊D79—22no—
428C2×C22⋊D79—22no—
429C2×C22⋊D79—22no—
430C2×C22⋊D79—22no—
431C2×C22⋊D79—41no—
432C2×C22⋊D79C2×D414yes—
433D4×D79—232no—
434C22×Dic79—22no—
435C22×Dic79—22no—
436C22×Dic79—22no—
437C22×Dic79—22no—
438C22×Dic79—22no—
439C22×Dic79—22no—
440C22×Dic79—22no—
441C22×Dic79—22no—
442C22×Dic79—22no—
443C22×Dic79—22no—
444C22×Dic79—41no—
445C22×Dic79C2×D414yes—
446C22×Dic79C2411yescharacteristic
447C22×Dic79C2411yescharacteristic
448C22×Dic79C2411yescharacteristic
449C22×Dic79C2411yescharacteristic
450C22×Dic79C2411yescharacteristic
451C22×Dic79C2411yescharacteristic
452C22×Dic79C2411yescharacteristic
453C22×Dic79C2411yescharacteristic
454C22×Dic79C2411yescharacteristic
455C22×Dic79C2411yescharacteristic
456C22×Dic79C2411yescharacteristic
457C22×Dic79C2411yescharacteristic
458C2×C4×D79—22no—
459C2×C4×D79—22no—
460C2×C4×D79—22no—
461C2×C4×D79—22no—
462C2×C4×D79—22no—
463C2×C4×D79—22no—
464C2×C4×D79—22no—
465C2×C4×D79—22no—
466C2×C4×D79—22no—
467C2×C4×D79—22no—
468C2×C4×D79—22no—
469C2×C4×D79—22no—
470C2×C4×D79—22no—
471C2×C4×D79—22no—
472C2×C4×D79—22no—
473C2×C4×D79—22no—
474C2×C4×D79—22no—
475C2×C4×D79—22no—
476C2×C4×D79—22no—
477C2×C4×D79—22no—
478C2×C4×D79—22no—
479C2×C4×D79—22no—
480C2×C4×D79—22no—
481C2×C4×D79—41no—
482C2×C4×D79—41no—
483C2×C4×D79—41no—
484C2×C4×D79—41no—
485C2×C4×D79—41no—
486C2×C4×D79—416no—
487C2×C4×D79—416no—
488C2×C4×D79C2×D414yes—
489C2×C4×D79#4114yes—
490C4⋊Dic79—22no—
491C4⋊Dic79—22no—
492C4⋊Dic79—22no—
493C4⋊Dic79—22no—
494C4⋊Dic79—22no—
495C4⋊Dic79—22no—
496C4⋊Dic79—22no—
497C4⋊Dic79—41no—
498Dic79⋊C4—22no—
499Dic79⋊C4—22no—
500Dic79⋊C4—22no—
501Dic79⋊C4—22no—
502Dic79⋊C4—22no—
503Dic79⋊C4—22no—
504Dic79⋊C4—22no—
505Dic79⋊C4—41no—
506Dic79⋊C4—41no—
507Dic79⋊C4C2×D414yes—
508C22⋊Dic79—22no—
509C22⋊Dic79—22no—
510C22⋊Dic79—22no—
511C22⋊Dic79—22no—
512C22⋊Dic79—22no—
513C22⋊Dic79—22no—
514(C2×D79)⋊C4—22no—
515(C2×D79)⋊C4—22no—
516(C2×D79)⋊C4—22no—
517(C2×D79)⋊C4—22no—
518(C2×D79)⋊C4—22no—
519(C2×D79)⋊C4—22no—
520(C2×D79)⋊C4—22no—
521(C2×D79)⋊C4—22no—
522(C2×D79)⋊C4—22no—
523(C2×D79)⋊C4—22no—
524(C2×D79)⋊C4—22no—
525(C2×D79)⋊C4—22no—
526(C2×D79)⋊C4—22no—
527(C2×D79)⋊C4—22no—
528(C2×D79)⋊C4—22no—
529(C2×D79)⋊C4—22no—
530(C2×D79)⋊C4—22no—
531(C2×D79)⋊C4—22no—
532(C2×D79)⋊C4—22no—
533(C2×D79)⋊C4—22no—
534(C2×D79)⋊C4—22no—
535(C2×D79)⋊C4—22no—
536(C2×D79)⋊C4—22no—
537(C2×D79)⋊C4—22no—
538(C2×D79)⋊C4—41no—
539(C2×D79)⋊C4—41no—
540(C2×D79)⋊C4—41no—
541(C2×D79)⋊C4—41no—
542(C2×D79)⋊C4—41no—
543(C2×D79)⋊C4—41no—
544(C2×D79)⋊C4—41no—
545(C2×D79)⋊C4—41no—
546(C2×D79)⋊C4C2×D414yes—
547(C2×D79)⋊C4#4114yes—
548C4×Dic79—22no—
549C4×Dic79—22no—
550C4×Dic79—22no—
551C4×Dic79—22no—
552C4×Dic79—22no—
553C4×Dic79—22no—
554C4×Dic79—22no—
555C4×Dic79—22no—
556C4×Dic79—22no—
557C4×Dic79—22no—
558C4×Dic79—22no—
559C4×Dic79—41no—
560C4×Dic79—41no—
561C4×Dic79C2×D414yes—
562C24×C79C2411yescharacteristic
563C24×C79C2411yescharacteristic
564C2×Q8×C79—22no—
565C2×Q8×C79—22no—
566C2×Q8×C79—41no—
567C2×D4×C79—22no—
568C2×D4×C79—22no—
569C2×D4×C79#4114yes—
570C22×C4×C79—22no—
571C22×C4×C79—22no—
572C22×C4×C79—22no—
573C22×C4×C79—22no—
574C22×C4×C79—22no—
575C22×C4×C79—22no—
576C22×C4×C79—22no—
577C22×C4×C79—41no—
578C22×C4×C79—41no—
579C22×C4×C79—41no—
580C22×C4×C79—41no—
581C22×C4×C79—41no—
582C22×C4×C79C2411yescharacteristic
583C22×C4×C79C2411yescharacteristic
584C22×C4×C79C2411yescharacteristic
585C22×C4×C79C2411yescharacteristic
586C22×C4×C79C2411yescharacteristic
587C22×C4×C79C2411yescharacteristic
588C22×C4×C79C2411yescharacteristic
589C22×C4×C79C2411yescharacteristic
590C22×C4×C79C2411yescharacteristic
591C22×C4×C79C2411yescharacteristic
592C22×C4×C79C2411yescharacteristic
593C22×C4×C79C2411yescharacteristic
594C22×C4×C79C2411yescharacteristic
595C4⋊C4×C79—22no—
596C4⋊C4×C79—22no—
597C4⋊C4×C79—22no—
598C4⋊C4×C79—22no—
599C4⋊C4×C79—22no—
600C4⋊C4×C79—41no—
601C4⋊C4×C79—41no—
602C4⋊C4×C79—41no—
603C22⋊C4×C79—22no—
604C22⋊C4×C79—22no—
605C22⋊C4×C79—22no—
606C22⋊C4×C79—22no—
607C22⋊C4×C79—41no—
608C22⋊C4×C79—41no—
609C22⋊C4×C79—41no—
610C22⋊C4×C79C2×D414yes—
611C42×C79—22no—
612C23×C79—21no—
613C23×C79—21no—
614C23×C79—21no—
615C23×C79—21no—
616C23×C79—21no—
617C23×C79—21no—
618C23×C79—21no—
619C23×C79—21no—
620C23×C79—21no—
621C23×C79—21no—
622C23×C79C22×D412yes—
623C23×C79C2×#4112yes—
624C23×C79C2×#4112yes—
625C23×C79C2×#4112yes—
626C23×C79C2511yescharacteristic
627C22×D79—21no—
628C22×D79—21no—
629C22×D79—21no—
630C22×D79—21no—
631C22×D79—28no—
632C22×D79—28no—
633C22×D79—21no—
634C22×D79—21no—
635C22×D79—21no—
636C22×D79—21no—
637C22×D79—21no—
638C22×D79—21no—
639C22×D79—21no—
640C22×D79—21no—
641C22×D79—21no—
642C22×D79—21no—
643C22×D79—21no—
644C22×D79—21no—
645C22×D79—28no—
646C22×D79—21no—
647C22×D79—21no—
648C22×D79—21no—
649C22×D79—21no—
650C22×D79—21no—
651C22×D79—21no—
652C22×D79—21no—
653C22×D79—44no—
654C22×D79—44no—
655C22×D79—44no—
656C22×D79—44no—
657C22×D79—44no—
658C22×D79—44no—
659C22×D79—44no—
660C22×D79—44no—
661C22×D79—44no—
662C22×D79—44no—
663C22×D79—44no—
664C22×D79C22×D412yes—
665C22×D79C2×#4112yes—
666C22×D79C2×#4112yes—
667C22×D79C2×#4112yes—
668C22×D79C2×#4112yes—
669Q8×C79—44no—
670D4×C79—28no—
671C2×C4×C79—21no—
672C2×C4×C79—21no—
673C2×C4×C79—21no—
674C2×C4×C79—21no—
675C2×C4×C79—21no—
676C2×C4×C79—21no—
677C2×C4×C79—21no—
678C2×C4×C79—21no—
679C2×C4×C79—21no—
680C2×C4×C79—21no—
681C2×C4×C79—21no—
682C2×C4×C79—21no—
683C2×C4×C79—21no—
684C2×C4×C79—21no—
685C2×C4×C79—21no—
686C2×C4×C79—21no—
687C2×C4×C79—21no—
688C2×C4×C79—21no—
689C2×C4×C79—21no—
690C2×C4×C79—21no—
691C2×C4×C79—21no—
692C2×C4×C79—21no—
693C2×C4×C79—21no—
694C2×C4×C79—21no—
695C2×C4×C79—21no—
696C2×C4×C79—21no—
697C2×C4×C79—21no—
698C2×C4×C79—21no—
699C2×C4×C79—21no—
700C2×C4×C79—21no—
701C2×C4×C79—21no—
702C2×C4×C79—21no—
703C2×C4×C79—21no—
704C2×C4×C79—21no—
705C2×C4×C79—44no—
706C2×C4×C79—44no—
707C2×C4×C79—44no—
708C2×C4×C79—44no—
709C2×C4×C79C22×D412yes—
710C2×C4×C79C22×D412yes—
711C2×C4×C79C2×#4112yes—
712C2×C4×C79C2×#4112yes—
713C2×C4×C79C2×#4112yes—
714C22⋊D79—28no—
715C22⋊D79—28no—
716C22⋊D79—44no—
717C22⋊D79—44no—
718C2×Dic79—21no—
719C2×Dic79—21no—
720C2×Dic79—21no—
721C2×Dic79—21no—
722C2×Dic79—21no—
723C2×Dic79—21no—
724C2×Dic79—28no—
725C2×Dic79—21no—
726C2×Dic79—21no—
727C2×Dic79—21no—
728C2×Dic79—21no—
729C2×Dic79—21no—
730C2×Dic79—21no—
731C2×Dic79—21no—
732C2×Dic79—21no—
733C2×Dic79—21no—
734C2×Dic79—21no—
735C2×Dic79—21no—
736C2×Dic79—21no—
737C2×Dic79—21no—
738C2×Dic79—21no—
739C2×Dic79—21no—
740C2×Dic79—21no—
741C2×Dic79—21no—
742C2×Dic79—21no—
743C2×Dic79—21no—
744C2×Dic79—21no—
745C2×Dic79—21no—
746C2×Dic79—21no—
747C2×Dic79—21no—
748C2×Dic79—21no—
749C2×Dic79—44no—
750C2×Dic79—44no—
751C2×Dic79—44no—
752C2×Dic79C22×D412yes—
753C2×Dic79C22×D412yes—
754C2×Dic79C22×D412yes—
755C2×Dic79C2×#4112yes—
756C2×Dic79C2×#4112yes—
757C2×Dic79H(5,𝔽2)12yes—
758D316—28no—
759D316—44no—
760D316—44no—
761D316—44no—
762C4×D79—28no—
763C4×D79—28no—
764C4×D79—28no—
765C4×D79—44no—
766C4×D79—44no—
767C4×D79—44no—
768C4×D79—44no—
769C4×D79—44no—
770C4×D79—44no—
771C4×D79—44no—
772C22×C79—22no—
773C22×C79—22no—
774C22×C79—22no—
775C22×C79—22no—
776C22×C79—22no—
777C22×C79—22no—
778C22×C79—22no—
779C22×C79—22no—
780C22×C79—22no—
781C22×C79—41no—
782C22×C79—41no—
783C22×C79—41no—
784C22×C79—41no—
785C22×C79#52514yes—
786C22×C79C23×D411yescharacteristic
787C22×C79C22×#4111yescharacteristic
788C22×C79C22×#4111yescharacteristic
789C22×C79C22×#4111yescharacteristic
790C22×C79C22×#4111yescharacteristic
791C22×C79C2×H(5,𝔽2)11yescharacteristic
792C22×C79#58511yescharacteristic
793C2×D79—22no—
794C2×D79—22no—
795C2×D79—22no—
796C2×D79—22no—
797C2×D79—22no—
798C2×D79—22no—
799C2×D79—22no—
800C2×D79—22no—
801C2×D79—22no—
802C2×D79—22no—
803C2×D79—22no—
804C2×D79—22no—
805C2×D79—416no—
806C2×D79—416no—
807C2×D79—41no—
808C2×D79—41no—
809C2×D79—41no—
810C2×D79—41no—
811C2×D79—41no—
812C2×D79—41no—
813C2×D79—41no—
814C2×D79—41no—
815C2×D79—41no—
816C2×D79—41no—
817C2×D79—41no—
818C2×D79—41no—
819C2×D79—41no—
820C2×D79—41no—
821C2×D79—41no—
822C2×D79#52914yescomplemented
823C4×C79—22no—
824C4×C79—22no—
825C4×C79—22no—
826C4×C79—22no—
827C4×C79—22no—
828C4×C79—41no—
829C4×C79—41no—
830C4×C79—41no—
831C4×C79—41no—
832C4×C79—41no—
833C4×C79—41no—
834C4×C79—41no—
835C4×C79—41no—
836Dic79—22no—
837Dic79—22no—
838Dic79—22no—
839Dic79—41no—
840Dic79—41no—
841Dic79—41no—
842Dic79—41no—
843Dic79—41no—
844Dic79—41no—
845Dic79—41no—
846Dic79—41no—
847Dic79#54614yes—
848#34670—791nomaximal, Sylow
849C2×C79—24no—
850C2×C79—42no—
851C2×C79C2×#52511yescharacteristic
852C2×C79C2×#52911yescharacteristic
853C2×C79#345911yescharacteristic
854C2×C79C2×#54611yescharacteristic
855C2×C79D4×#4111yescharacteristic
856C2×C79#347511yescharacteristic
857C2×C79#348111yescharacteristic
858D79—24no—
859D79—42no—
860D79—42no—
861D79—81no—
862C2×#529—791no—
863C22×C4×D4—791no—
864#2481—791no—
865#2480—791no—
866#2473—791no—
867#2472—791no—
868#2467—791no—
869#2466—791no—
870#2460—791no—
871#2459—791no—
872#2450D7911yescharacteristic, complemented
873#2444—791no—
874#2437—791no—
875#2425—791no—
876#2419—791no—
877#2412—791no—
878#2410—791no—
879#2405—791no—
880#2398—791no—
881#2395—791no—
882#2392—791no—
883#2392—791no—
884C4×C22⋊Q8—791no—
885C4×#123—791no—
886C4×#121—791no—
887C4×#120—791no—
888C4×#120—791no—
889#2290—791no—
890#2290—791no—
891#2280—791no—
892C2×C4×C22⋊C4—791no—
893C79#3467011yescharacteristic, complemented, Sylow
894C23×D4—791no—
895C24×C4—791no—
896C24×C4—791no—
897#529—1588no—
898C2×#126—791no—
899C2×#126—791no—
900C2×#125—791no—
901C2×#124—791no—
902C2×#123—791no—
903C2×#123—791no—
904C2×#123—791no—
905C2×C22⋊Q8—791no—
906C2×C22⋊Q8C2×D7911yescharacteristic, complemented
907C2×#121—791no—
908C2×#121—791no—
909C2×#120—791no—
910C2×#120—791no—
911C2×C4×Q8—791no—
912C2×C4×D4—791no—
913C2×C4×D4—791no—
914C2×C4×D4—791no—
915C2×C4×D4—791no—
916C2×C4×D4—791no—
917C2×C4×D4—791no—
918C2×C4×D4—791no—
919C2×C4×D4—791no—
920C2×C4×D4—791no—
921C2×C4×D4—791no—
922C2×C4×D4—791no—
923C2×C4×D4—791no—
924C2×C4×D4—1588no—
925C2×C4×D4C2×D7911yescharacteristic
926C2×#117—791no—
927C2×#117—791no—
928C2×#117—791no—
929C22×C4⋊C4—791no—
930C22×C22⋊C4—791no—
931C22×C22⋊C4—791no—
932C22×C22⋊C4—791no—
933C22×C22⋊C4—791no—
934C22×C42—791no—
935C22×C42—791no—
936C22×C42—791no—
937#400—791no—
938#400—791no—
939#400C2×D7911yescharacteristic, complemented
940#399—791no—
941#398—791no—
942#398—791no—
943#398C2×D7911yescharacteristic, complemented
944#397—791no—
945#397—791no—
946#397—791no—
947#397—791no—
948#397—791no—
949#397—791no—
950#397—791no—
951#396—791no—
952#396—791no—
953#396—791no—
954#396C2×D7911yescharacteristic, complemented
955#394—791no—
956#394—791no—
957#394—791no—
958#394—791no—
959#394—791no—
960#394—791no—
961#394—791no—
962#394—791no—
963#394—791no—
964#394—791no—
965#393—791no—
966#393C2×D7911yescharacteristic, complemented
967#392—791no—
968#392—791no—
969#391C2×D7911yescharacteristic, complemented
970#390—791no—
971#389—791no—
972#389—791no—
973#388—791no—
974#388—791no—
975#388—791no—
976#388—791no—
977#388—791no—
978#388—791no—
979#388—791no—
980#388—791no—
981#387—791no—
982#387—791no—
983#387—791no—
984#387—791no—
985#387—791no—
986#387—791no—
987#387—791no—
988#387C2×D7911yescharacteristic, complemented
989#386—791no—
990#386—791no—
991#386—791no—
992#386—791no—
993#386—791no—
994#386—791no—
995#386—791no—
996#386—791no—
997#386—791no—
998#386—791no—
999#386—791no—
1000#386C2×D7911yescharacteristic
1001#386C2×D7911yescharacteristic
1002#385—791no—
1003#385—791no—
1004#385—791no—
1005#385—791no—
1006#385—791no—
1007#385—791no—
1008#385—791no—
1009#385—791no—
1010#385—791no—
1011#385—791no—
1012#385C2×D7911yescharacteristic, complemented
1013#385C2×D7911yescharacteristic, complemented
1014#385C2×D7911yescharacteristic, complemented
1015#381—791no—
1016#381—791no—
1017#381—791no—
1018#380—791no—
1019#380—791no—
1020#380—791no—
1021#380—791no—
1022#380—791no—
1023#380C2×D7911yescharacteristic, complemented
1024#379—791no—
1025#379—791no—
1026#379—791no—
1027#379—791no—
1028C4×C4⋊C4—791no—
1029C4×C4⋊C4—791no—
1030C4×C4⋊C4—791no—
1031C4×C4⋊C4—791no—
1032C4×C22⋊C4—791no—
1033C4×C22⋊C4—791no—
1034C4×C22⋊C4—791no—
1035C4×C22⋊C4—791no—
1036C4×C22⋊C4—791no—
1037C4×C22⋊C4—791no—
1038C4×C22⋊C4—791no—
1039C4×C22⋊C4—791no—
1040C4×C22⋊C4—791no—
1041C4×C22⋊C4—791no—
1042C4×C22⋊C4—791no—
1043C4×C22⋊C4—791no—
1044C4×C22⋊C4—791no—
1045C4×C22⋊C4—791no—
1046C4×C22⋊C4—791no—
1047C4×C22⋊C4—791no—
1048#376—791no—
1049C2×#95—791no—
1050C2×#95C2×D7911yescharacteristic, complemented
1051C25—791no—
1052C25—791no—
1053C22×Q8C22×D7911yescharacteristic
1054C22×D4—791no—
1055C22×D4—791no—
1056C22×D4—791no—
1057C22×D4—791no—
1058C22×D4—791no—
1059C22×D4—791no—
1060C22×D4—791no—
1061C22×D4—791no—
1062C22×D4—1584no—
1063C22×D4—1584no—
1064C22×D4—1584no—
1065C22×D4C22×D7911yescharacteristic
1066C23×C4—3162no—
1067C23×C4—3162no—
1068C23×C4—791no—
1069C23×C4—791no—
1070C23×C4—791no—
1071C23×C4—791no—
1072C23×C4—791no—
1073C23×C4—791no—
1074C23×C4—791no—
1075C23×C4—791no—
1076C23×C4—791no—
1077C23×C4—791no—
1078C23×C4—791no—
1079C23×C4—791no—
1080C23×C4—791no—
1081C23×C4—791no—
1082C23×C4—1584no—
1083C23×C4—1584no—
1084C23×C4—1584no—
1085C23×C4—1584no—
1086C23×C4C22×D7911yescharacteristic
1087C23×C4C22×D7911yescharacteristic
1088C23×C4C22×D7911yescharacteristic
1089C23×C4C22×D7911yescharacteristic
1090#126—1584no—
1091#126—1584no—
1092#125—1584no—
1093#124—1584no—
1094#123—1584no—
1095#123—1584no—
1096#123—1584no—
1097C22⋊Q8—24no—
1098C22⋊Q8—1584no—
1099#121—1584no—
1100#121—1584no—
1101#120—1584no—
1102#120—1584no—
1103C4×Q8—1584no—
1104C4×D4—24no—
1105C4×D4—3162no—
1106C4×D4—3162no—
1107C4×D4—798no—
1108C4×D4—1584no—
1109C4×D4—1584no—
1110C4×D4—1584no—
1111C4×D4—1584no—
1112C4×D4—1584no—
1113C4×D4—1584no—
1114C4×D4—1584no—
1115C4×D4—1584no—
1116C4×D4—1584no—
1117#117—3162no—
1118#117—1584no—
1119#117—1584no—
1120C2×C4⋊C4—791no—
1121C2×C4⋊C4—791no—
1122C2×C4⋊C4—791no—
1123C2×C4⋊C4—791no—
1124C2×C4⋊C4—791no—
1125C2×C4⋊C4—791no—
1126C2×C4⋊C4—791no—
1127C2×C4⋊C4—791no—
1128C2×C4⋊C4—791no—
1129C2×C4⋊C4—791no—
1130C2×C4⋊C4—791no—
1131C2×C4⋊C4—791no—
1132C2×C4⋊C4—791no—
1133C2×C4⋊C4—791no—
1134C2×C4⋊C4—791no—
1135C2×C4⋊C4—791no—
1136C2×C4⋊C4—791no—
1137C2×C4⋊C4—791no—
1138C2×C4⋊C4—1584no—
1139C2×C4⋊C4C22×D7911yescharacteristic
1140C2×C4⋊C4C22×D7911yescharacteristic
1141C2×C4⋊C4C22×D7911yescharacteristic
1142C2×C4⋊C4C22×D7911yescharacteristic
1143C2×C4⋊C4C22×D7911yescharacteristic
1144C2×C4⋊C4C22×D7911yescharacteristic
1145C2×C4⋊C4C22×D7911yescharacteristic
1146C2×C4⋊C4C22×D7911yescharacteristic
1147C2×C22⋊C4—791no—
1148C2×C22⋊C4—791no—
1149C2×C22⋊C4—791no—
1150C2×C22⋊C4—791no—
1151C2×C22⋊C4—791no—
1152C2×C22⋊C4—791no—
1153C2×C22⋊C4—791no—
1154C2×C22⋊C4—791no—
1155C2×C22⋊C4—791no—
1156C2×C22⋊C4—791no—
1157C2×C22⋊C4—791no—
1158C2×C22⋊C4—791no—
1159C2×C22⋊C4—791no—
1160C2×C22⋊C4—791no—
1161C2×C22⋊C4—791no—
1162C2×C22⋊C4—791no—
1163C2×C22⋊C4—791no—
1164C2×C22⋊C4—791no—
1165C2×C22⋊C4—791no—
1166C2×C22⋊C4—791no—
1167C2×C22⋊C4—791no—
1168C2×C22⋊C4—791no—
1169C2×C22⋊C4—791no—
1170C2×C22⋊C4—791no—
1171C2×C22⋊C4—791no—
1172C2×C22⋊C4—791no—
1173C2×C22⋊C4—791no—
1174C2×C22⋊C4—791no—
1175C2×C22⋊C4—791no—
1176C2×C22⋊C4—791no—
1177C2×C22⋊C4—791no—
1178C2×C22⋊C4—791no—
1179C2×C22⋊C4—791no—
1180C2×C22⋊C4—791no—
1181C2×C22⋊C4—791no—
1182C2×C22⋊C4—791no—
1183C2×C22⋊C4—791no—
1184C2×C22⋊C4—791no—
1185C2×C22⋊C4—791no—
1186C2×C22⋊C4—791no—
1187C2×C22⋊C4—1584no—
1188C2×C22⋊C4—1584no—
1189C2×C22⋊C4—1584no—
1190C2×C22⋊C4—1584no—
1191C2×C22⋊C4C22×D7911yescharacteristic
1192C2×C22⋊C4C22×D7911yescharacteristic
1193C2×C22⋊C4C22×D7911yescharacteristic
1194C2×C22⋊C4C22×D7911yescharacteristic
1195C2×C22⋊C4C22×D7911yescharacteristic
1196C2×C22⋊C4C22×D7911yescharacteristic
1197C2×C22⋊C4C22×D7911yescharacteristic
1198C2×C22⋊C4C22×D7911yescharacteristic
1199C2×C42—3162no—
1200C2×C42—791no—
1201C2×C42—791no—
1202C2×C42—791no—
1203C2×C42—791no—
1204C2×C42—791no—
1205C2×C42—791no—
1206C2×C42—791no—
1207C2×C42—791no—
1208C2×C42—791no—
1209C2×C42—791no—
1210C2×C42—791no—
1211C2×C42—791no—
1212C2×C42—791no—
1213C2×C42—791no—
1214C2×C42—1584no—
1215C2×C42—1584no—
1216C2×C42C22×D7911yescharacteristic
1217#95—791no—
1218#95—791no—
1219#95—791no—
1220#95—791no—
1221#95—791no—
1222#95—791no—
1223#95—791no—
1224#95—791no—
1225#95—791no—
1226#95—791no—
1227#95—791no—
1228#95—791no—
1229#95—791no—
1230#95—791no—
1231#95—791no—
1232#95—791no—
1233#95—791no—
1234#95—791no—
1235#95—791no—
1236#95—791no—
1237#95—791no—
1238#95—791no—
1239#95—791no—
1240#95—791no—
1241#95C22×D7911yescharacteristic
1242#95C22×D7911yescharacteristic
1243#95C22×D7911yescharacteristic
1244#95C22×D7911yescharacteristic
1245#95C22×D7911yescharacteristic
1246#95C22×D7911yescharacteristic
1247#95C22×D7911yescharacteristic
1248#95C22×D7911yescharacteristic
1249#95C22×D7911yescharacteristic
1250#95C22×D7911yescharacteristic
1251#95C22×D7911yescharacteristic
1252#95C22×D7911yescharacteristic
1253C24—3161no—
1254C24—3161no—
1255C24—3161no—
1256C24—3161no—
1257C24—794no—
1258C24—791no—
1259C24—791no—
1260C24—791no—
1261C24—791no—
1262C24—1582no—
1263C24—1582no—
1264C24—1582no—
1265C24—1582no—
1266C24—1582no—
1267C24—1582no—
1268C24—1582no—
1269C24—1582no—
1270C24—1582no—
1271C24C23×D7911yescharacteristic
1272C24C23×D7911yescharacteristic
1273C2×Q8—22no—
1274C2×Q8—22no—
1275C2×Q8—41no—
1276C2×D4—22no—
1277C2×D4—22no—
1278C2×D4—3161no—
1279C2×D4—3161no—
1280C2×D4—3161no—
1281C2×D4—3161no—
1282C2×D4—794no—
1283C2×D4—1582no—
1284C2×D4—1582no—
1285C2×D4—1582no—
1286C2×D4—1582no—
1287C2×D4—1582no—
1288C2×D4—1582no—
1289C2×D4—1582no—
1290C2×D4—1582no—
1291C2×D4—1582no—
1292C2×D4—15832no—
1293C2×D4—1582no—
1294C2×D4—1582no—
1295C2×D4—1582no—
1296C2×D4—1582no—
1297C2×D4—1582no—
1298C2×D4—1582no—
1299C2×D4—1582no—
1300C2×D4—1582no—
1301C2×D4—1582no—
1302C2×D4—1582no—
1303C2×D4#1192962514yes—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—22no—
1311C22×C4—41no—
1312C22×C4—41no—
1313C22×C4—41no—
1314C22×C4—41no—
1315C22×C4—41no—
1316C22×C4—3161no—
1317C22×C4—3161no—
1318C22×C4—3161no—
1319C22×C4—3161no—
1320C22×C4—3161no—
1321C22×C4—31616no—
1322C22×C4—31616no—
1323C22×C4—3161no—
1324C22×C4—791no—
1325C22×C4—791no—
1326C22×C4—791no—
1327C22×C4—791no—
1328C22×C4—794no—
1329C22×C4—794no—
1330C22×C4—794no—
1331C22×C4—791no—
1332C22×C4—791no—
1333C22×C4—791no—
1334C22×C4—791no—
1335C22×C4—791no—
1336C22×C4—791no—
1337C22×C4—791no—
1338C22×C4—791no—
1339C22×C4—1582no—
1340C22×C4—1582no—
1341C22×C4—1582no—
1342C22×C4—1582no—
1343C22×C4—1582no—
1344C22×C4—1582no—
1345C22×C4—1582no—
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×C4C23×D7911yescharacteristic
1373C22×C4C23×D7911yescharacteristic
1374C22×C4C23×D7911yescharacteristic
1375C22×C4C23×D7911yescharacteristic
1376C22×C4C23×D7911yescharacteristic
1377C22×C4C23×D7911yescharacteristic
1378C22×C4C23×D7911yescharacteristic
1379C22×C4C23×D7911yescharacteristic
1380C22×C4C23×D7911yescharacteristic
1381C22×C4C23×D7911yescharacteristic
1382C22×C4C23×D7911yescharacteristic
1383C22×C4C23×D7911yescharacteristic
1384C22×C4C23×D7911yescharacteristic
1385C4⋊C4—22no—
1386C4⋊C4—22no—
1387C4⋊C4—22no—
1388C4⋊C4—22no—
1389C4⋊C4—22no—
1390C4⋊C4—41no—
1391C4⋊C4—41no—
1392C4⋊C4—41no—
1393C4⋊C4—3161no—
1394C4⋊C4—3161no—
1395C4⋊C4—3161no—
1396C4⋊C4—794no—
1397C4⋊C4—1582no—
1398C4⋊C4—1582no—
1399C4⋊C4—1582no—
1400C4⋊C4—1582no—
1401C4⋊C4—1582no—
1402C4⋊C4—1582no—
1403C4⋊C4—1582no—
1404C4⋊C4—1582no—
1405C4⋊C4—1582no—
1406C4⋊C4—1582no—
1407C4⋊C4—1582no—
1408C4⋊C4—1582no—
1409C4⋊C4—1582no—
1410C4⋊C4—1582no—
1411C22⋊C4—22no—
1412C22⋊C4—22no—
1413C22⋊C4—22no—
1414C22⋊C4—22no—
1415C22⋊C4—41no—
1416C22⋊C4—41no—
1417C22⋊C4—41no—
1418C22⋊C4—3161no—
1419C22⋊C4—3161no—
1420C22⋊C4—3161no—
1421C22⋊C4—3161no—
1422C22⋊C4—3161no—
1423C22⋊C4—3161no—
1424C22⋊C4—3161no—
1425C22⋊C4—3161no—
1426C22⋊C4—794no—
1427C22⋊C4—794no—
1428C22⋊C4—1582no—
1429C22⋊C4—1582no—
1430C22⋊C4—1582no—
1431C22⋊C4—1582no—
1432C22⋊C4—1582no—
1433C22⋊C4—1582no—
1434C22⋊C4—1582no—
1435C22⋊C4—1582no—
1436C22⋊C4—1582no—
1437C22⋊C4—1582no—
1438C22⋊C4—1582no—
1439C22⋊C4—1582no—
1440C22⋊C4—1582no—
1441C22⋊C4—1582no—
1442C22⋊C4—1582no—
1443C22⋊C4—1582no—
1444C22⋊C4—1582no—
1445C22⋊C4—1582no—
1446C22⋊C4—1582no—
1447C22⋊C4—1582no—
1448C22⋊C4—1582no—
1449C22⋊C4—1582no—
1450C22⋊C4—1582no—
1451C22⋊C4—1582no—
1452C22⋊C4—1582no—
1453C22⋊C4—1582no—
1454C22⋊C4—1582no—
1455C22⋊C4—1582no—
1456C22⋊C4—1582no—
1457C22⋊C4—1582no—
1458C22⋊C4D4×D7914yes—
1459C42—22no—
1460C42—3161no—
1461C42—3161no—
1462C42—794no—
1463C42—1582no—
1464C42—1582no—
1465C42—1582no—
1466C42—1582no—
1467C42—1582no—
1468C42—1582no—
1469C42—1582no—
1470C42—1582no—
1471C42—1582no—
1472C42—1582no—
1473C42—1582no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—3164no—
1485C23—3164no—
1486C23—3164no—
1487C23—3164no—
1488C23—3164no—
1489C23—3164no—
1490C23—3164no—
1491C23—3164no—
1492C23—3164no—
1493C23—3164no—
1494C23—3164no—
1495C23—792no—
1496C23—792no—
1497C23—792no—
1498C23—792no—
1499C23—792no—
1500C23—1588no—
1501C23—1588no—
1502C23—1581no—
1503C23—1581no—
1504C23—1581no—
1505C23—1581no—
1506C23—1581no—
1507C23—1581no—
1508C23—1581no—
1509C23—1581no—
1510C23—1581no—
1511C23—1581no—
1512C23—1581no—
1513C23—1588no—
1514C23—1581no—
1515C23—1581no—
1516C23—1581no—
1517C23—1581no—
1518C23—1581no—
1519C23—1581no—
1520C23—1581no—
1521C23—1581no—
1522C23—1581no—
1523C23—1581no—
1524C23—1581no—
1525C23—1581no—
1526C23C2×D4×D7912yes—
1527C23#41×D7912yes—
1528C23C2×#1192962512yes—
1529C23C2×#1192962512yes—
1530C23C24×D7911yescharacteristic
1531Q8—44no—
1532D4—28no—
1533D4—3164no—
1534D4—3164no—
1535D4—3164no—
1536D4—3164no—
1537D4—3164no—
1538D4—1588no—
1539D4—1588no—
1540D4—1588no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—44no—
1576C2×C4—44no—
1577C2×C4—44no—
1578C2×C4—44no—
1579C2×C4—3164no—
1580C2×C4—3164no—
1581C2×C4—3164no—
1582C2×C4—3164no—
1583C2×C4—3164no—
1584C2×C4—3164no—
1585C2×C4—3164no—
1586C2×C4—3164no—
1587C2×C4—3164no—
1588C2×C4—3164no—
1589C2×C4—792no—
1590C2×C4—792no—
1591C2×C4—792no—
1592C2×C4—792no—
1593C2×C4—792no—
1594C2×C4—792no—
1595C2×C4—1588no—
1596C2×C4—1588no—
1597C2×C4—1588no—
1598C2×C4—1581no—
1599C2×C4—1581no—
1600C2×C4—1581no—
1601C2×C4—1581no—
1602C2×C4—1581no—
1603C2×C4—1581no—
1604C2×C4—1581no—
1605C2×C4—1581no—
1606C2×C4—1581no—
1607C2×C4—1581no—
1608C2×C4—1581no—
1609C2×C4—1581no—
1610C2×C4—1581no—
1611C2×C4—1581no—
1612C2×C4—1581no—
1613C2×C4—1581no—
1614C2×C4—1581no—
1615C2×C4—1581no—
1616C2×C4—1581no—
1617C2×C4—1581no—
1618C2×C4—1581no—
1619C2×C4—1581no—
1620C2×C4—1581no—
1621C2×C4—1581no—
1622C2×C4—1588no—
1623C2×C4—1581no—
1624C2×C4—1581no—
1625C2×C4—1581no—
1626C2×C4—1581no—
1627C2×C4—1581no—
1628C2×C4—1581no—
1629C2×C4C2×D4×D7912yes—
1630C2×C4C2×D4×D7912yes—
1631C2×C4#41×D7912yes—
1632C2×C4#41×D7912yes—
1633C2×C4C2×#1192962512yes—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—22no—
1641C22—22no—
1642C22—22no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—31616no—
1648C22—31616no—
1649C22—3161no—
1650C22—3161no—
1651C22—3161no—
1652C22—3161no—
1653C22—3161no—
1654C22—3161no—
1655C22—3161no—
1656C22—3161no—
1657C22—3161no—
1658C22—3161no—
1659C22—3161no—
1660C22—3161no—
1661C22—3161no—
1662C22—3161no—
1663C22—3161no—
1664C22—794no—
1665C22—1582no—
1666C22—1582no—
1667C22—1582no—
1668C22—1582no—
1669C22—1582no—
1670C22—1582no—
1671C22—1582no—
1672C22—1582no—
1673C22—1582no—
1674C22—1582no—
1675C22—1582no—
1676C22—1582no—
1677C22#1909907614yes—
1678C22C22×D4×D7911yescharacteristic
1679C22C2×#41×D7911yescharacteristic
1680C22C2×#41×D7911yescharacteristic
1681C22C2×#41×D7911yescharacteristic
1682C22C22×#1192962511yescharacteristic
1683C22H(5,𝔽2)×D7911yescharacteristic
1684C22#1909939811yescharacteristic
1685C4—22no—
1686C4—22no—
1687C4—22no—
1688C4—22no—
1689C4—22no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4—3161no—
1699C4—3161no—
1700C4—3161no—
1701C4—3161no—
1702C4—3161no—
1703C4—3161no—
1704C4—3161no—
1705C4—3161no—
1706C4—794no—
1707C4—1582no—
1708C4—1582no—
1709C4—1582no—
1710C2—24no—
1711C2—42no—
1712C2—3162no—
1713C2—3162no—
1714C2—6321no—
1715C2—1584no—
1716C2C2×#1909907611yescharacteristic
1717C2#529×D7911yescharacteristic
1718C2#2377681111yescharacteristic
1719C2#546×D7911yescharacteristic
1720C2#2377688411yescharacteristic
1721C2#2377696611yescharacteristic
1722C2#2377701111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2450C2
prime radical#23766773C2
hypercenter#2450D79
hypocenterC79#34670
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2450

Complements

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

NH ≅ G/Ntype
1. C2×#19099099C2semidirect
2. C2×C4×D4×D79C2semidirect
3. #23767664C2semidirect
4. #23767649C2semidirect
5. #23767544C2semidirect
6. #23767529C2semidirect
7. #23767458C2semidirect
8. #23767443C2semidirect
9. #23767359C2semidirect
10. #23767344C2semidirect
11. #23767150C2semidirect
12. #23767063C2semidirect
13. #23766945C2semidirect
14. #23766879C2semidirect
15. #23766794C2semidirect
17. #23766726C2semidirect
18. #23766682C2semidirect
19. #23766666C2semidirect
20. #23766645C2semidirect
21. #23766641C2semidirect
22. #23765938C2semidirect
23. #23765925C2semidirect
24. #23765910C2semidirect
25. #23765901C2semidirect
26. #23765901C2semidirect
27. #23765838C2semidirect
28. #23765836C2semidirect
29. #23765782C2semidirect
30. C2×#19098410C2semidirect
31. C79×#2450C2semidirect
36. C2×#14579156C22semidirect
37. C2×#14579156C22semidirect
38. C2×#14579152C22semidirect
39. C2×#14579150C22semidirect
41. C2×#14579145C22semidirect
48. C2×Q8×Dic79C22semidirect
53. C2×#14579123C22semidirect
54. C2×#14579123C22semidirect
59. C2×(C22⋊D79)⋊C4C22semidirect
60. C2×(C22⋊D79)⋊C4C22semidirect
62. C2×#14579119C22semidirect
63. C2×#14579119C22semidirect
64. C2×#14579119C22semidirect
70. C22×C4×Dic79C22semidirect
71. C22×C4×Dic79C22semidirect
73. #19098505C22semidirect
74. #19098505C22semidirect
75. #19098498C22semidirect
76. #19098496C22semidirect
77. #19098493C22semidirect
78. #19098492C22semidirect
79. #19098492C22semidirect
80. #19098492C22semidirect
81. #19098490C22semidirect
82. #19098490C22semidirect
83. #19098489C22semidirect
84. #19098488C22semidirect
85. #19098485C22semidirect
86. #19098485C22semidirect
87. #19098485C22semidirect
91. #19098481C22semidirect
92. #19098480C22semidirect
93. #19098480C22semidirect
97. #19098479C22semidirect
98. #19098474C22semidirect
101. #19098463C22semidirect
102. #19098461C22semidirect
103. #19098460C22semidirect
104. #19098457C22semidirect
105. #19098457C22semidirect
106. #19098455C22semidirect
107. #19098455C22semidirect
108. #19098454C22semidirect
109. #19098453C22semidirect
110. #19098452C22semidirect
111. #19098451C22semidirect
112. #19098450C22semidirect
113. #19098450C22semidirect
114. #19098450C22semidirect
115. #19098450C22semidirect
116. #19098450C22semidirect
117. #19098449C22semidirect
118. #19098444C22semidirect
120. #19098442C22semidirect
121. #19098442C22semidirect
122. #19098442C22semidirect
127. #19098441C22semidirect
128. #19098441C22semidirect
130. #19098438C22semidirect
134. #19098436C22semidirect
138. #19098434C22semidirect
139. #19098434C22semidirect
140. #19098425C22semidirect
141. #19098425C22semidirect
142. #19098424C22semidirect
143. #19098423C22semidirect
144. #19098421C22semidirect
152. C4⋊C4×Dic79C22semidirect
153. #19098414C22semidirect
154. #19098414C22semidirect
155. #19098414C22semidirect
156. C22⋊C4×Dic79C22semidirect
157. C22⋊C4×Dic79C22semidirect
158. C22⋊C4×Dic79C22semidirect
159. C22⋊C4×Dic79C22semidirect
165. #19098410C22semidirect
166. #19098410C22semidirect
167. #19098410C22semidirect
168. #19098410C22semidirect
169. #19098410C22semidirect
170. #19098410C22semidirect
171. #19098410C22semidirect
172. #19098408C22semidirect
173. C2×C79⋊#95C22semidirect
174. C2×C22⋊Q8×C79C22semidirect
176. #400×C79C22semidirect
177. #398×C79C22semidirect
178. #396×C79C22semidirect
179. #393×C79C22semidirect
180. #391×C79C22semidirect
181. #387×C79C22semidirect
184. #385×C79C22semidirect
185. #385×C79C22semidirect
186. #385×C79C22semidirect
187. #380×C79C22semidirect
188. C2×#95×C79C22semidirect
246. (C22⋊D79)⋊C4D4semidirect
822. C2×D79#529semidirect
872. #2450D79semidirect
893. C79#34670semidirect
906. C2×C22⋊Q8C2×D79semidirect
939. #400C2×D79semidirect
943. #398C2×D79semidirect
954. #396C2×D79semidirect
966. #393C2×D79semidirect
969. #391C2×D79semidirect
988. #387C2×D79semidirect
1012. #385C2×D79semidirect
1013. #385C2×D79semidirect
1014. #385C2×D79semidirect
1023. #380C2×D79semidirect
1050. C2×#95C2×D79semidirect

Maximal subgroups

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

subgroupindex
C2×#190990992
C2×C4×D4×D792
#237676642
#237676492
#237675442
#237675292
#237674582
#237674432
#237673592
#237673442
#237671502
#237670632
#237669452
#237668792
#237667942
#237667732
#237667262
#237666822
#237666662
#237666452
#237666412
#237659382
#237659252
#237659102
#237659012
#237658382
#237658362
#237657822
C2×#190984102
C79×#24502
#3467079