Finite Group Databasebeta

← #34458456

Subgroups — #34458456

Order 20224.

2804 conjugacy classes of subgroups.

The subgroup lattice has 1708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19099092C211yesmaximal, characteristic, complemented
2C2×#19099073C211yesmaximal, characteristic, complemented
3#23768548C211yesmaximal, characteristic, complemented
4#23768525C211yesmaximal, characteristic, complemented
5#23768520C211yesmaximal, characteristic, complemented
6#23768497C211yesmaximal, characteristic, complemented
7#23768484C211yesmaximal, characteristic, complemented
8#23768462C211yesmaximal, characteristic, complemented
9#23768439C211yesmaximal, characteristic, complemented
10#23768405C211yesmaximal, characteristic, complemented
11#23768355C211yesmaximal, characteristic, complemented
12#23768325C211yesmaximal, characteristic, complemented
13#23768285C211yesmaximal, characteristic, complemented
14#23767725C211yesmaximal, characteristic, complemented
15#23767522C211yesmaximal, characteristic, complemented
16#23766950C211yesmaximal, characteristic, complemented
17#23766933C211yesmaximal, characteristic, complemented
18#23766671C211yesmaximal, characteristic, complemented
19#23766656C211yesmaximal, characteristic, complemented
20#23766635C211yesmaximal, characteristic, complemented
21#23766612C211yesmaximal, characteristic, complemented
22#124×Dic79C211yesmaximal, characteristic, complemented
23#23765927C211yesmaximal, characteristic, complemented
24#23765916C211yesmaximal, characteristic, complemented
25#121×Dic79C211yesmaximal, characteristic, complemented
26#23765905C211yesmaximal, characteristic, complemented
27#23765885C211yesmaximal, characteristic, complemented
28#23765860C211yesmaximal, characteristic, complemented
29C4×(C22⋊D79)⋊C4C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D79C211yesmaximal, characteristic, complemented
31C79×#2555C211yesmaximal, characteristic, complemented
32C22×#11929623C2211yescharacteristic
33C23×C4×D79C2211yescharacteristic
34#19099092—28no—
35C2×#14579154C2211yescharacteristic, complemented
36C2×#14579154C2211yescharacteristic, complemented
37C2×#14579153C2211yescharacteristic, complemented
38#19099073—28no—
39C2×#14579143C2211yescharacteristic
40C2×#14579143C2211yescharacteristic
41C2×#14579143C2211yescharacteristic
42C2×#14579143C2211yescharacteristic
43C2×#14579143C2211yescharacteristic
44C2×#14579141C2211yescharacteristic
45C2×#14579140C2211yescharacteristic
46C2×#14579137C2211yescharacteristic
47C2×#14579132C2211yescharacteristic
48C2×#14579132C2211yescharacteristic
49C2×#14579132C2211yescharacteristic
50C2×#14579129C2211yescharacteristic
51C2×#14579129C2211yescharacteristic
52C2×#14579129C2211yescharacteristic
53C2×Q8×Dic79C2211yescharacteristic, complemented
54C2×D4×Dic79C2211yescharacteristic
55C2×D4×Dic79C2211yescharacteristic
56C2×D4×Dic79C2211yescharacteristic
57C2×D4×Dic79C2211yescharacteristic, complemented
58C2×D4×Dic79C2211yescharacteristic, complemented
59C2×C4×C22⋊D79C2211yescharacteristic
60C2×(C22⋊D79)⋊C4C2211yescharacteristic
61C2×(C22⋊D79)⋊C4C2211yescharacteristic
62C2×(C22⋊D79)⋊C4C2211yescharacteristic
63C2×(C22⋊D79)⋊C4C2211yescharacteristic
64C2×(C22⋊D79)⋊C4C2211yescharacteristic
65C2×#14579119C2211yescharacteristic
66C2×#14579117C2211yescharacteristic, complemented
67C2×#14579117C2211yescharacteristic, complemented
68C2×C22⋊C4×D79C2211yescharacteristic
69C2×C22⋊C4×D79C2211yescharacteristic
70C22×C4×Dic79C2211yescharacteristic, complemented
71C2×C42×D79C2211yescharacteristic
72C2×C42×D79C2211yescharacteristic
73#19098505C2211yescharacteristic, complemented
74#19098502C2211yescharacteristic, complemented
75#19098500C2211yescharacteristic
76#19098499C2211yescharacteristic
77#19098496C2211yescharacteristic, complemented
78#19098495C2211yescharacteristic, complemented
79#19098495C2211yescharacteristic, complemented
80#19098495C2211yescharacteristic, complemented
81#19098491C2211yescharacteristic
82#19098491C2211yescharacteristic, complemented
83#19098488C2211yescharacteristic, complemented
84#19098488C2211yescharacteristic, complemented
85#19098486C2211yescharacteristic
86#19098486C2211yescharacteristic, complemented
87#19098485C2211yescharacteristic
88#19098485C2211yescharacteristic
89#19098484C2211yescharacteristic, complemented
90#19098479C2211yescharacteristic
91#19098479C2211yescharacteristic
92#19098477C2211yescharacteristic
93#19098477C2211yescharacteristic
94#19098477C2211yescharacteristic
95#19098477C2211yescharacteristic, complemented
96#19098477C2211yescharacteristic, complemented
97#19098475C2211yescharacteristic, complemented
98#19098474C2211yescharacteristic
99#19098471C2211yescharacteristic
100#19098471C2211yescharacteristic
101#19098470C2211yescharacteristic, complemented
102#19098467C2211yescharacteristic, complemented
103#19098467C2211yescharacteristic, complemented
104#19098466C2211yescharacteristic
105#19098466C2211yescharacteristic
106#19098463C2211yescharacteristic
107#19098463C2211yescharacteristic
108#19098463C2211yescharacteristic
109#19098463C2211yescharacteristic
110#19098462C2211yescharacteristic, complemented
111#19098461C2211yescharacteristic, complemented
112#19098460C2211yescharacteristic, complemented
113#19098458C2211yescharacteristic, complemented
114#19098457C2211yescharacteristic, complemented
115#19098457C2211yescharacteristic, complemented
116#19098456C2211yescharacteristic
117#19098456C2211yescharacteristic
118#19098456C2211yescharacteristic
119#19098456C2211yescharacteristic, complemented
120#19098456C2211yescharacteristic, complemented
121#19098456C2211yescharacteristic, complemented
122#19098456C2211yescharacteristic, complemented
123#19098454C2211yescharacteristic
124#19098452C2211yescharacteristic
125#19098451C2211yescharacteristic, complemented
126#19098448C2211yescharacteristic, complemented
127#19098447C2211yescharacteristic, complemented
128#19098443C2211yescharacteristic
129#19098443C2211yescharacteristic, complemented
130#19098443C2211yescharacteristic, complemented
131#19098442C2211yescharacteristic
132#19098440C2211yescharacteristic
133#19098439C2211yescharacteristic
134#19098439C2211yescharacteristic
135#19098439C2211yescharacteristic
136#19098439C2211yescharacteristic
137#19098439C2211yescharacteristic
138#19098437C2211yescharacteristic
139#19098437C2211yescharacteristic
140#19098436C2211yescharacteristic
141#19098434C2211yescharacteristic
142#19098429C2211yescharacteristic, complemented
143#19098425C2211yescharacteristic
144#19098423C2211yescharacteristic, complemented
145#19098420C2211yescharacteristic
146#19098418C2211yescharacteristic
147C4⋊C4×Dic79C2211yescharacteristic, complemented
148C4⋊C4×Dic79C2211yescharacteristic, complemented
149C4×Dic79⋊C4C2211yescharacteristic, complemented
150#19098414C2211yescharacteristic, complemented
151#19098414C2211yescharacteristic, complemented
152#19098414C2211yescharacteristic, complemented
153C22⋊C4×Dic79C2211yescharacteristic
154C22⋊C4×Dic79C2211yescharacteristic
155C22⋊C4×Dic79C2211yescharacteristic
156C22⋊C4×Dic79C2211yescharacteristic, complemented
157C22⋊C4×Dic79C2211yescharacteristic, complemented
158C22⋊C4×Dic79C2211yescharacteristic, complemented
159C22⋊C4×Dic79C2211yescharacteristic, complemented
160C22⋊C4×Dic79C2211yescharacteristic, complemented
161C22⋊C4×Dic79C2211yescharacteristic, complemented
162C4×(C2×D79)⋊C4C2211yescharacteristic
163C4×(C2×D79)⋊C4C2211yescharacteristic
164C4×(C2×D79)⋊C4C2211yescharacteristic
165C4×C22⋊Dic79C2211yescharacteristic
166#19098410C2211yescharacteristic
167#19098410C2211yescharacteristic
168#19098410C2211yescharacteristic
169#19098410C2211yescharacteristic
170#19098410C2211yescharacteristic
171#95×D79C2211yescharacteristic
172#95×D79C2211yescharacteristic
173C42×Dic79C2211yescharacteristic, complemented
174C2×#124×C79C2211yescharacteristic
175C2×#124×C79C2211yescharacteristic, complemented
176C2×#121×C79C2211yescharacteristic
177C2×#121×C79C2211yescharacteristic
178#395×C79C2211yescharacteristic, complemented
179#394×C79C2211yescharacteristic
180#392×C79C2211yescharacteristic
181#392×C79C2211yescharacteristic, complemented
182#390×C79C2211yescharacteristic, complemented
183#388×C79C2211yescharacteristic, complemented
184#388×C79C2211yescharacteristic, complemented
185#386×C79C2211yescharacteristic
186#386×C79C2211yescharacteristic, complemented
187C4×C22⋊C4×C79C2211yescharacteristic
188C4×C22⋊C4×C79C2211yescharacteristic, complemented
189C24×D79C2311yescharacteristic
190C2×#11929623—24no—
191C2×#11929623—24no—
192C2×#11929623—42no—
193C22×Dic158C2311yescharacteristic
194C22×C22⋊D79C2311yescharacteristic
195C22×C22⋊D79C2311yescharacteristic
196C22×C22⋊D79C2311yescharacteristic
197C22×C22⋊D79C2311yescharacteristic
198C22×C22⋊D79C2311yescharacteristic
199C22×C22⋊D79C2311yescharacteristic
200C23×Dic79C2311yescharacteristic
201C23×Dic79C2311yescharacteristic
202C23×Dic79C2311yescharacteristic
203C23×Dic79C2311yescharacteristic
204C23×Dic79C2311yescharacteristic
205C22×C4×D79—24no—
206C22×C4×D79—24no—
207C22×C4×D79—42no—
208C22×C4×D79C2311yescharacteristic
209C22×C4×D79C2311yescharacteristic
210C22×C4×D79C2311yescharacteristic
211C22×C4×D79C2311yescharacteristic
212C22×C4×D79C2311yescharacteristic
213C22×C4×D79C2311yescharacteristic
214C22×C4×D79C2311yescharacteristic
215C22×C4×D79C2311yescharacteristic
216#14579154—24no—
217#14579154—24no—
218#14579153—24no—
219#14579143—24no—
220#14579143—24no—
221#14579143—24no—
222#14579143—24no—
223#14579143—24no—
224#14579141—24no—
225#14579140—24no—
226#14579137—24no—
227#14579132—24no—
228#14579132—24no—
229#14579132—24no—
230#14579129—24no—
231#14579129—24no—
232#14579129—24no—
233Q8×Dic79—24no—
234D4×Dic79—24no—
235D4×Dic79—24no—
236D4×Dic79—24no—
237D4×Dic79—42no—
238D4×Dic79—42no—
239C4×C22⋊D79—24no—
240(C22⋊D79)⋊C4—24no—
241(C22⋊D79)⋊C4—24no—
242(C22⋊D79)⋊C4—24no—
243(C22⋊D79)⋊C4—24no—
244(C22⋊D79)⋊C4D418yescomplemented
245#14579119—24no—
246#14579117—24no—
247#14579117—24no—
248C2×C4⋊Dic79C2311yescharacteristic
249C2×C4⋊Dic79C2311yescharacteristic
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×C4⋊Dic79C2311yescharacteristic
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
268C2×Dic79⋊C4C2311yescharacteristic
269C2×Dic79⋊C4C2311yescharacteristic
270C2×Dic79⋊C4C2311yescharacteristic
271C2×C22⋊Dic79C2311yescharacteristic
272C2×C22⋊Dic79C2311yescharacteristic
273C2×C22⋊Dic79C2311yescharacteristic
274C2×C22⋊Dic79C2311yescharacteristic
275C2×C22⋊Dic79C2311yescharacteristic
276C2×C22⋊Dic79C2311yescharacteristic
277C2×C22⋊Dic79C2311yescharacteristic
278C2×C22⋊Dic79C2311yescharacteristic
279C2×C22⋊Dic79C2311yescharacteristic
280C2×C22⋊Dic79C2311yescharacteristic
281C2×C22⋊Dic79C2311yescharacteristic
282C2×C22⋊Dic79C2311yescharacteristic
283C2×C22⋊Dic79C2311yescharacteristic
284C2×C22⋊Dic79C2311yescharacteristic
285C2×C22⋊Dic79C2311yescharacteristic
286C2×C22⋊Dic79C2311yescharacteristic
287C2×C22⋊Dic79C2311yescharacteristic
288C2×C22⋊Dic79C2311yescharacteristic
289C2×C22⋊Dic79C2311yescharacteristic
290C2×C22⋊Dic79C2311yescharacteristic
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
305C22⋊C4×D79—24no—
306C22⋊C4×D79—24no—
307C2×C4×Dic79—42no—
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
323C2×C4×Dic79C2311yescharacteristic
324C42×D79—24no—
325C42×D79—42no—
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
348C79⋊#95C2311yescharacteristic
349C79⋊#95C2311yescharacteristic
350C79⋊#95C2311yescharacteristic
351C79⋊#95C2311yescharacteristic
352C22×Q8×C79C2311yescharacteristic
353C22×D4×C79C2311yescharacteristic
354C22×D4×C79C2311yescharacteristic
355C22×D4×C79C2311yescharacteristic
356C22×D4×C79C2311yescharacteristic
357C22×D4×C79C2311yescharacteristic
358C22×D4×C79C2311yescharacteristic
359C23×C4×C79C2311yescharacteristic
360C23×C4×C79C2311yescharacteristic
361#124×C79—24no—
362#124×C79—24no—
363#121×C79—24no—
364#121×C79—24no—
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×C22⋊C4×C79C2311yescharacteristic
377C2×C22⋊C4×C79C2311yescharacteristic
378C2×C22⋊C4×C79C2311yescharacteristic
379C2×C22⋊C4×C79C2311yescharacteristic
380C2×C22⋊C4×C79C2311yescharacteristic
381C2×C22⋊C4×C79C2311yescharacteristic
382C2×C42×C79C2311yescharacteristic
383C2×C42×C79C2311yescharacteristic
384C2×C42×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—41no—
397C23×D79—41no—
398C23×D79C2411yescharacteristic
399C23×D79C2411yescharacteristic
400#11929623—416no—
401C2×Dic158—22no—
402C2×Dic158—22no—
403C2×Dic158—41no—
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—22no—
411C2×C22⋊D79—22no—
412C2×C22⋊D79—22no—
413C2×C22⋊D79—22no—
414C2×C22⋊D79—22no—
415C2×C22⋊D79—22no—
416C2×C22⋊D79—22no—
417C2×C22⋊D79—22no—
418C2×C22⋊D79—41no—
419C2×C22⋊D79—41no—
420C2×C22⋊D79—41no—
421C2×C22⋊D79C2×D414yes—
422C22×Dic79—22no—
423C22×Dic79—22no—
424C22×Dic79—22no—
425C22×Dic79—22no—
426C22×Dic79—22no—
427C22×Dic79—22no—
428C22×Dic79—22no—
429C22×Dic79—22no—
430C22×Dic79—22no—
431C22×Dic79—22no—
432C22×Dic79—22no—
433C22×Dic79—22no—
434C22×Dic79—41no—
435C22×Dic79—41no—
436C22×Dic79C2×D414yes—
437C22×Dic79C2411yescharacteristic
438C22×Dic79C2411yescharacteristic
439C22×Dic79C2411yescharacteristic
440C22×Dic79C2411yescharacteristic
441C22×Dic79C2411yescharacteristic
442C22×Dic79C2411yescharacteristic
443C22×Dic79C2411yescharacteristic
444C22×Dic79C2411yescharacteristic
445C22×Dic79C2411yescharacteristic
446C22×Dic79C2411yescharacteristic
447C22×Dic79C2411yescharacteristic
448C22×Dic79C2411yescharacteristic
449C22×Dic79C2411yescharacteristic
450C22×Dic79C2411yescharacteristic
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—22no—
463C2×C4×D79—22no—
464C2×C4×D79—22no—
465C2×C4×D79—22no—
466C2×C4×D79—41no—
467C2×C4×D79—41no—
468C2×C4×D79—41no—
469C2×C4×D79—41no—
470C2×C4×D79—41no—
471C2×C4×D79—41no—
472C2×C4×D79—416no—
473C2×C4×D79C2×D414yes—
474C2×C4×D79#4114yes—
475C2×C4×D79#4114yescomplemented
476C4⋊Dic79—22no—
477C4⋊Dic79—22no—
478C4⋊Dic79—22no—
479C4⋊Dic79—22no—
480C4⋊Dic79—22no—
481C4⋊Dic79—22no—
482C4⋊Dic79—22no—
483C4⋊Dic79—22no—
484C4⋊Dic79—22no—
485C4⋊Dic79—41no—
486C4⋊Dic79—41no—
487Dic79⋊C4—22no—
488Dic79⋊C4—22no—
489Dic79⋊C4—22no—
490Dic79⋊C4—22no—
491Dic79⋊C4—22no—
492Dic79⋊C4—22no—
493Dic79⋊C4—22no—
494Dic79⋊C4—22no—
495Dic79⋊C4—22no—
496Dic79⋊C4—22no—
497Dic79⋊C4—41no—
498Dic79⋊C4C2×D414yes—
499C22⋊Dic79—22no—
500C22⋊Dic79—22no—
501C22⋊Dic79—22no—
502C22⋊Dic79—22no—
503C22⋊Dic79—22no—
504C22⋊Dic79—22no—
505C22⋊Dic79—22no—
506C22⋊Dic79—22no—
507C22⋊Dic79—22no—
508C22⋊Dic79—22no—
509C22⋊Dic79—22no—
510C22⋊Dic79—22no—
511C22⋊Dic79—22no—
512C22⋊Dic79—22no—
513C22⋊Dic79—22no—
514C22⋊Dic79—41no—
515C22⋊Dic79—41no—
516C22⋊Dic79—41no—
517C22⋊Dic79—41no—
518C22⋊Dic79—41no—
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—41no—
531(C2×D79)⋊C4C2×D414yes—
532(C2×D79)⋊C4#4114yescomplemented
533C4×Dic79—22no—
534C4×Dic79—22no—
535C4×Dic79—22no—
536C4×Dic79—22no—
537C4×Dic79—22no—
538C4×Dic79—22no—
539C4×Dic79—22no—
540C4×Dic79—22no—
541C4×Dic79—22no—
542C4×Dic79—22no—
543C4×Dic79—22no—
544C4×Dic79—41no—
545C4×Dic79—41no—
546C4×Dic79—41no—
547C4×Dic79—41no—
548C4×Dic79C2×D414yes—
549C24×C79C2411yescharacteristic
550C24×C79C2411yescharacteristic
551C24×C79C2411yescharacteristic
552C24×C79C2411yescharacteristic
553C2×Q8×C79—22no—
554C2×Q8×C79—22no—
555C2×Q8×C79—41no—
556C2×D4×C79—22no—
557C2×D4×C79—22no—
558C2×D4×C79—22no—
559C2×D4×C79—22no—
560C2×D4×C79—22no—
561C2×D4×C79—22no—
562C2×D4×C79—22no—
563C2×D4×C79—22no—
564C2×D4×C79—22no—
565C2×D4×C79—22no—
566C2×D4×C79—22no—
567C2×D4×C79—41no—
568C2×D4×C79—41no—
569C2×D4×C79—41no—
570C2×D4×C79—41no—
571C2×D4×C79—41no—
572C2×D4×C79—41no—
573C2×D4×C79—41no—
574C22×C4×C79—22no—
575C22×C4×C79—22no—
576C22×C4×C79—22no—
577C22×C4×C79—22no—
578C22×C4×C79—41no—
579C22×C4×C79—41no—
580C22×C4×C79C2411yescharacteristic
581C22×C4×C79C2411yescharacteristic
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
591C4⋊C4×C79—22no—
592C4⋊C4×C79—22no—
593C4⋊C4×C79—41no—
594C22⋊C4×C79—22no—
595C22⋊C4×C79—22no—
596C22⋊C4×C79—22no—
597C22⋊C4×C79—22no—
598C22⋊C4×C79—22no—
599C22⋊C4×C79—22no—
600C22⋊C4×C79—22no—
601C22⋊C4×C79—22no—
602C22⋊C4×C79—22no—
603C22⋊C4×C79—22no—
604C22⋊C4×C79—22no—
605C22⋊C4×C79—22no—
606C22⋊C4×C79C2×D414yes—
607C22⋊C4×C79#4114yescomplemented
608C42×C79—22no—
609C42×C79—22no—
610C42×C79—41no—
611C23×C79—21no—
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×C79—21no—
623C23×C79—21no—
624C23×C79—21no—
625C23×C79—21no—
626C23×C79—21no—
627C23×C79—21no—
628C23×C79—21no—
629C23×C79—21no—
630C23×C79—21no—
631C23×C79—21no—
632C23×C79—21no—
633C23×C79—21no—
634C23×C79—21no—
635C23×C79—21no—
636C23×C79—21no—
637C23×C79C22×D412yes—
638C23×C79C2×#4112yes—
639C23×C79C2511yescharacteristic
640C22×D79—21no—
641C22×D79—21no—
642C22×D79—21no—
643C22×D79—21no—
644C22×D79—28no—
645C22×D79—21no—
646C22×D79—21no—
647C22×D79—21no—
648C22×D79—21no—
649C22×D79—21no—
650C22×D79—21no—
651C22×D79—44no—
652C22×D79—44no—
653C22×D79—44no—
654C22×D79—44no—
655C22×D79—44no—
656C22×D79—44no—
657C22×D79C22×D412yes—
658C22×D79C2×#4112yes—
659C22×D79C2×#4112yes—
660C22×D79C2×#4112yes—
661Q8×C79—44no—
662D4×C79—44no—
663D4×C79—44no—
664D4×C79—44no—
665D4×C79—44no—
666D4×C79—44no—
667D4×C79—44no—
668C2×C4×C79—21no—
669C2×C4×C79—21no—
670C2×C4×C79—21no—
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—44no—
695C2×C4×C79—44no—
696C2×C4×C79C22×D412yes—
697C2×C4×C79C22×D412yes—
698C2×C4×C79C2×#4112yes—
699C2×C4×C79C2×#4112yes—
700C2×C4×C79C2×#4112yes—
701C2×C4×C79C2×#4112yes—
702C2×C4×C79C2×#4112yes—
703C22⋊D79—28no—
704C22⋊D79—44no—
705C22⋊D79—44no—
706C22⋊D79—44no—
707C22⋊D79—44no—
708C22⋊D79—44no—
709C2×Dic79—21no—
710C2×Dic79—21no—
711C2×Dic79—21no—
712C2×Dic79—21no—
713C2×Dic79—21no—
714C2×Dic79—21no—
715C2×Dic79—21no—
716C2×Dic79—21no—
717C2×Dic79—28no—
718C2×Dic79—21no—
719C2×Dic79—21no—
720C2×Dic79—21no—
721C2×Dic79—21no—
722C2×Dic79—21no—
723C2×Dic79—21no—
724C2×Dic79—21no—
725C2×Dic79—21no—
726C2×Dic79—21no—
727C2×Dic79—21no—
728C2×Dic79—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—44no—
746C2×Dic79—44no—
747C2×Dic79—44no—
748C2×Dic79—44no—
749C2×Dic79C22×D412yes—
750C2×Dic79C22×D412yes—
751C2×Dic79C22×D412yes—
752C2×Dic79C2×#4112yes—
753C2×Dic79C2×#4112yes—
754C2×Dic79C2×#4112yes—
755C2×Dic79H(5,𝔽2)12yes—
756C4×D79—28no—
757C4×D79—28no—
758C4×D79—44no—
759C4×D79—44no—
760C4×D79—44no—
761C4×D79—44no—
762C4×D79—44no—
763C4×D79—44no—
764Dic158—44no—
765C22×C79—22no—
766C22×C79—22no—
767C22×C79—22no—
768C22×C79—22no—
769C22×C79—22no—
770C22×C79—22no—
771C22×C79—41no—
772C22×C79—41no—
773C22×C79—41no—
774C22×C79—41no—
775C22×C79—41no—
776C22×C79—41no—
777C22×C79—41no—
778C22×C79—41no—
779C22×C79—41no—
780C22×C79—41no—
781C22×C79—41no—
782C22×C79—41no—
783C22×C79—41no—
784C22×C79—41no—
785C22×C79—41no—
786C22×C79—41no—
787C22×C79—41no—
788C22×C79—41no—
789C22×C79—41no—
790C22×C79—41no—
791C22×C79—41no—
792C22×C79—41no—
793C22×C79C23×D411yescharacteristic
794C22×C79C22×#4111yescharacteristic
795C22×C79C22×#4111yescharacteristic
796C22×C79C22×#4111yescharacteristic
797C22×C79C22×#4111yescharacteristic
798C22×C79C2×H(5,𝔽2)11yescharacteristic
799C22×C79#58511yescharacteristic
800C2×D79—22no—
801C2×D79—22no—
802C2×D79—22no—
803C2×D79—22no—
804C2×D79—22no—
805C2×D79—22no—
806C2×D79—22no—
807C2×D79—22no—
808C2×D79—22no—
809C2×D79—416no—
810C2×D79—41no—
811C2×D79—41no—
812C2×D79—41no—
813C2×D79—41no—
814C2×D79#53214yes—
815C4×C79—22no—
816C4×C79—22no—
817C4×C79—22no—
818C4×C79—22no—
819C4×C79—22no—
820C4×C79—22no—
821C4×C79—22no—
822C4×C79—41no—
823C4×C79—41no—
824C4×C79—41no—
825C4×C79—41no—
826Dic79—22no—
827Dic79—22no—
828Dic79—22no—
829Dic79—22no—
830Dic79—41no—
831Dic79—41no—
832Dic79—41no—
833Dic79—41no—
834Dic79—41no—
835Dic79—41no—
836Dic79—41no—
837Dic79—41no—
838Dic79—41no—
839Dic79#54614yes—
840#34829—791nomaximal, Sylow
841C2×C79—42no—
842C2×C79—42no—
843C2×C79—81no—
844C2×C79—81no—
845C2×C79C2×#53211yescharacteristic
846C2×C79#344411yescharacteristic
847C2×C79#345911yescharacteristic
848C2×C79C2×#54611yescharacteristic
849C2×C79D4×#4111yescharacteristic
850C2×C79#347511yescharacteristic
851C2×C79#348111yescharacteristic
852D79—24no—
853D79—42no—
854C2×#529—791no—
855C2×#525—791no—
856#2560—791no—
857#2559—791no—
858#2558—791no—
859#2557—791no—
860#2556—791no—
861#2555D7911yescharacteristic, complemented
862#2554—791no—
863#2553—791no—
864#2549—791no—
865#2543—791no—
866#2539—791no—
867#2534—791no—
868#2488—791no—
869#2472—791no—
870#2425—791no—
871#2424—791no—
872#2396—791no—
873#2395—791no—
874#2392—791no—
875#2388—791no—
876C4×#124—791no—
877C4×#123—791no—
878C4×#121—791no—
879C4×#121—791no—
880C4×#120—791no—
881#2297—791no—
882#2293—791no—
883C42×D4—791no—
884C2×C4×C22⋊C4—791no—
885C79#3482911yescharacteristic, complemented, Sylow
886C22×#41—791no—
887C24×C4—791no—
888#529—1588no—
889C2×#126—791no—
890C2×#126—791no—
891C2×#125—791no—
892C2×#124C2×D7911yescharacteristic
893C2×#124C2×D7911yescharacteristic, complemented
894#525—1588no—
895C2×#123—791no—
896C2×#123—791no—
897C2×#123—791no—
898C2×#123—791no—
899C2×#123—791no—
900C2×C22⋊Q8—791no—
901C2×C22⋊Q8—791no—
902C2×C22⋊Q8—791no—
903C2×#121—791no—
904C2×#121—791no—
905C2×#121—791no—
906C2×#121C2×D7911yescharacteristic
907C2×#121C2×D7911yescharacteristic
908C2×#120—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×#117—791no—
924C2×#117—791no—
925C2×#117—791no—
926C22×C22⋊C4—791no—
927C22×C22⋊C4—791no—
928C22×C42—791no—
929C22×C42—791no—
930C22×C42—791no—
931#400—791no—
932#400—791no—
933#399—791no—
934#399—791no—
935#398—791no—
936#398—791no—
937#398—791no—
938#398—791no—
939#397—791no—
940#397—791no—
941#397—791no—
942#397—791no—
943#396—791no—
944#396—791no—
945#396—791no—
946#396—791no—
947#395—791no—
948#395C2×D7911yescharacteristic, complemented
949#394—791no—
950#394—791no—
951#394—791no—
952#394—791no—
953#394—791no—
954#394—791no—
955#394—791no—
956#394C2×D7911yescharacteristic
957#393—791no—
958#393—791no—
959#392—791no—
960#392—791no—
961#392C2×D7911yescharacteristic
962#392C2×D7911yescharacteristic, complemented
963#391—791no—
964#391—791no—
965#391—791no—
966#390—791no—
967#390—791no—
968#390—791no—
969#390—791no—
970#390—791no—
971#390—791no—
972#390C2×D7911yescharacteristic, complemented
973#389—791no—
974#389—791no—
975#389—791no—
976#389—791no—
977#388—791no—
978#388—791no—
979#388—791no—
980#388—791no—
981#388—791no—
982#388—791no—
983#388—791no—
984#388—791no—
985#388—791no—
986#388—791no—
987#388—791no—
988#388—791no—
989#388C2×D7911yescharacteristic, complemented
990#388C2×D7911yescharacteristic, complemented
991#387—791no—
992#387—791no—
993#386—791no—
994#386—791no—
995#386—791no—
996#386—791no—
997#386—791no—
998#386—791no—
999#386—791no—
1000#386—791no—
1001#386—791no—
1002#386—791no—
1003#386C2×D7911yescharacteristic
1004#386C2×D7911yescharacteristic, complemented
1005#385—791no—
1006#385—791no—
1007#385—791no—
1008#385—791no—
1009#382—791no—
1010#381—791no—
1011#380—791no—
1012#380—791no—
1013#379—791no—
1014C4×C4⋊C4—791no—
1015C4×C4⋊C4—791no—
1016C4×C4⋊C4—791no—
1017C4×C4⋊C4—791no—
1018C4×C4⋊C4—791no—
1019C4×C4⋊C4—791no—
1020C4×C22⋊C4—791no—
1021C4×C22⋊C4—791no—
1022C4×C22⋊C4—791no—
1023C4×C22⋊C4—791no—
1024C4×C22⋊C4—791no—
1025C4×C22⋊C4—791no—
1026C4×C22⋊C4—791no—
1027C4×C22⋊C4—791no—
1028C4×C22⋊C4—791no—
1029C4×C22⋊C4—791no—
1030C4×C22⋊C4—791no—
1031C4×C22⋊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⋊C4C2×D7911yescharacteristic
1039C4×C22⋊C4C2×D7911yescharacteristic, complemented
1040C2×#95—791no—
1041C2×#95—791no—
1042C43—791no—
1043C25—791no—
1044C2×#41—3162no—
1045C2×#41—1584no—
1046C2×#41—1584no—
1047C22×Q8—791no—
1048C22×Q8C22×D7911yescharacteristic
1049C22×D4—791no—
1050C22×D4—791no—
1051C22×D4—791no—
1052C22×D4—791no—
1053C22×D4—791no—
1054C22×D4—791no—
1055C22×D4C22×D7911yescharacteristic
1056C22×D4C22×D7911yescharacteristic
1057C22×D4C22×D7911yescharacteristic
1058C22×D4C22×D7911yescharacteristic
1059C22×D4C22×D7911yescharacteristic
1060C22×D4C22×D7911yescharacteristic
1061C23×C4—3162no—
1062C23×C4—791no—
1063C23×C4—791no—
1064C23×C4—791no—
1065C23×C4—791no—
1066C23×C4—791no—
1067C23×C4—791no—
1068C23×C4—791no—
1069C23×C4—791no—
1070C23×C4—791no—
1071C23×C4—791no—
1072C23×C4—791no—
1073C23×C4—791no—
1074C23×C4—791no—
1075C23×C4—1584no—
1076C23×C4—1584no—
1077C23×C4C22×D7911yescharacteristic
1078C23×C4C22×D7911yescharacteristic
1079#126—1584no—
1080#126—1584no—
1081#125—1584no—
1082#124—24no—
1083#124—24no—
1084#123—1584no—
1085#123—1584no—
1086#123—1584no—
1087#123—1584no—
1088#123—1584no—
1089C22⋊Q8—1584no—
1090C22⋊Q8—1584no—
1091C22⋊Q8—1584no—
1092#121—24no—
1093#121—24no—
1094#121—1584no—
1095#121—1584no—
1096#121—1584no—
1097#120—1584no—
1098#120—1584no—
1099#120—1584no—
1100C4×Q8—1584no—
1101C4×D4—3162no—
1102C4×D4—3162no—
1103C4×D4—798no—
1104C4×D4—1584no—
1105C4×D4—1584no—
1106C4×D4—1584no—
1107C4×D4—1584no—
1108C4×D4—1584no—
1109C4×D4—1584no—
1110C4×D4—1584no—
1111C4×D4—1584no—
1112#117—1584no—
1113#117—1584no—
1114#117—1584no—
1115C2×C4⋊C4—791no—
1116C2×C4⋊C4—791no—
1117C2×C4⋊C4—791no—
1118C2×C4⋊C4—791no—
1119C2×C4⋊C4—791no—
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⋊C4C22×D7911yescharacteristic
1139C2×C4⋊C4C22×D7911yescharacteristic
1140C2×C4⋊C4C22×D7911yescharacteristic
1141C2×C22⋊C4—791no—
1142C2×C22⋊C4—791no—
1143C2×C22⋊C4—791no—
1144C2×C22⋊C4—791no—
1145C2×C22⋊C4—791no—
1146C2×C22⋊C4—791no—
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—1584no—
1176C2×C22⋊C4—1584no—
1177C2×C22⋊C4C22×D7911yescharacteristic
1178C2×C22⋊C4C22×D7911yescharacteristic
1179C2×C22⋊C4C22×D7911yescharacteristic
1180C2×C22⋊C4C22×D7911yescharacteristic
1181C2×C22⋊C4C22×D7911yescharacteristic
1182C2×C22⋊C4C22×D7911yescharacteristic
1183C2×C22⋊C4C22×D7911yescharacteristic
1184C2×C22⋊C4C22×D7911yescharacteristic
1185C2×C22⋊C4C22×D7911yescharacteristic
1186C2×C22⋊C4C22×D7911yescharacteristic
1187C2×C22⋊C4C22×D7911yescharacteristic
1188C2×C22⋊C4C22×D7911yescharacteristic
1189C2×C22⋊C4C22×D7911yescharacteristic
1190C2×C22⋊C4C22×D7911yescharacteristic
1191C2×C42—3162no—
1192C2×C42—3162no—
1193C2×C42—791no—
1194C2×C42—791no—
1195C2×C42—791no—
1196C2×C42—791no—
1197C2×C42—791no—
1198C2×C42—791no—
1199C2×C42—791no—
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—1584no—
1210C2×C42C22×D7911yescharacteristic
1211C2×C42C22×D7911yescharacteristic
1212C2×C42C22×D7911yescharacteristic
1213#95—791no—
1214#95—791no—
1215#95—791no—
1216#95—791no—
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#95C22×D7911yescharacteristic
1240#95C22×D7911yescharacteristic
1241#95C22×D7911yescharacteristic
1242#95C22×D7911yescharacteristic
1243#95C22×D7911yescharacteristic
1244#95C22×D7911yescharacteristic
1245C24—3161no—
1246C24—3161no—
1247C24—791no—
1248C24—791no—
1249C24—1582no—
1250C24—1582no—
1251C24—1582no—
1252C24—1582no—
1253C24—1582no—
1254C24C23×D7911yescharacteristic
1255C24C23×D7911yescharacteristic
1256C24C23×D7911yescharacteristic
1257C24C23×D7911yescharacteristic
1258#41—31616no—
1259C2×Q8—22no—
1260C2×Q8—22no—
1261C2×Q8—41no—
1262C2×Q8—3161no—
1263C2×Q8—1582no—
1264C2×Q8—1582no—
1265C2×D4—22no—
1266C2×D4—22no—
1267C2×D4—22no—
1268C2×D4—22no—
1269C2×D4—22no—
1270C2×D4—22no—
1271C2×D4—22no—
1272C2×D4—22no—
1273C2×D4—22no—
1274C2×D4—22no—
1275C2×D4—22no—
1276C2×D4—41no—
1277C2×D4—41no—
1278C2×D4—41no—
1279C2×D4—41no—
1280C2×D4—41no—
1281C2×D4—41no—
1282C2×D4—41no—
1283C2×D4—3161no—
1284C2×D4—3161no—
1285C2×D4—3161no—
1286C2×D4—794no—
1287C2×D4—1582no—
1288C2×D4—1582no—
1289C2×D4—1582no—
1290C2×D4—1582no—
1291C2×D4—1582no—
1292C2×D4—1582no—
1293C2×D4—1582no—
1294C2×D4—1582no—
1295C2×D4—1582no—
1296C2×D4—1582no—
1297C2×D4—1582no—
1298C2×D4—1582no—
1299C2×D4—1582no—
1300C2×D4—1582no—
1301C22×C4—22no—
1302C22×C4—22no—
1303C22×C4—22no—
1304C22×C4—22no—
1305C22×C4—41no—
1306C22×C4—41no—
1307C22×C4—3161no—
1308C22×C4—3161no—
1309C22×C4—3161no—
1310C22×C4—3161no—
1311C22×C4—3161no—
1312C22×C4—3161no—
1313C22×C4—31616no—
1314C22×C4—3161no—
1315C22×C4—3161no—
1316C22×C4—794no—
1317C22×C4—791no—
1318C22×C4—791no—
1319C22×C4—791no—
1320C22×C4—791no—
1321C22×C4—791no—
1322C22×C4—794no—
1323C22×C4—794no—
1324C22×C4—794no—
1325C22×C4—791no—
1326C22×C4—791no—
1327C22×C4—791no—
1328C22×C4—791no—
1329C22×C4—791no—
1330C22×C4—791no—
1331C22×C4—791no—
1332C22×C4—791no—
1333C22×C4—791no—
1334C22×C4—1582no—
1335C22×C4—1582no—
1336C22×C4—1582no—
1337C22×C4—1582no—
1338C22×C4—1582no—
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×C4C23×D7911yescharacteristic
1362C22×C4C23×D7911yescharacteristic
1363C22×C4C23×D7911yescharacteristic
1364C22×C4C23×D7911yescharacteristic
1365C22×C4C23×D7911yescharacteristic
1366C22×C4C23×D7911yescharacteristic
1367C22×C4C23×D7911yescharacteristic
1368C22×C4C23×D7911yescharacteristic
1369C22×C4C23×D7911yescharacteristic
1370C22×C4C23×D7911yescharacteristic
1371C22×C4C23×D7911yescharacteristic
1372C4⋊C4—22no—
1373C4⋊C4—22no—
1374C4⋊C4—41no—
1375C4⋊C4—3161no—
1376C4⋊C4—3161no—
1377C4⋊C4—3161no—
1378C4⋊C4—794no—
1379C4⋊C4—1582no—
1380C4⋊C4—1582no—
1381C4⋊C4—1582no—
1382C4⋊C4—1582no—
1383C4⋊C4—1582no—
1384C4⋊C4—1582no—
1385C4⋊C4—1582no—
1386C4⋊C4—1582no—
1387C4⋊C4—1582no—
1388C4⋊C4—1582no—
1389C4⋊C4—1582no—
1390C4⋊C4—1582no—
1391C4⋊C4—1582no—
1392C4⋊C4—1582no—
1393C4⋊C4—1582no—
1394C4⋊C4—1582no—
1395C4⋊C4—1582no—
1396C4⋊C4—1582no—
1397C4⋊C4—1582no—
1398C22⋊C4—22no—
1399C22⋊C4—22no—
1400C22⋊C4—22no—
1401C22⋊C4—22no—
1402C22⋊C4—22no—
1403C22⋊C4—22no—
1404C22⋊C4—22no—
1405C22⋊C4—22no—
1406C22⋊C4—22no—
1407C22⋊C4—22no—
1408C22⋊C4—22no—
1409C22⋊C4—22no—
1410C22⋊C4—3161no—
1411C22⋊C4—3161no—
1412C22⋊C4—3161no—
1413C22⋊C4—3161no—
1414C22⋊C4—3161no—
1415C22⋊C4—3161no—
1416C22⋊C4—794no—
1417C22⋊C4—794no—
1418C22⋊C4—1582no—
1419C22⋊C4—1582no—
1420C22⋊C4—1582no—
1421C22⋊C4—1582no—
1422C22⋊C4—1582no—
1423C22⋊C4—1582no—
1424C22⋊C4—1582no—
1425C22⋊C4—1582no—
1426C22⋊C4—1582no—
1427C22⋊C4—1582no—
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⋊C4D4×D7914yes—
1445C22⋊C4#1192962314yescomplemented
1446C42—22no—
1447C42—22no—
1448C42—41no—
1449C42—3161no—
1450C42—3161no—
1451C42—3161no—
1452C42—3161no—
1453C42—794no—
1454C42—1582no—
1455C42—1582no—
1456C42—1582no—
1457C42—1582no—
1458C42—1582no—
1459C42—1582no—
1460C42—1582no—
1461C42—1582no—
1462C42—1582no—
1463C42—1582no—
1464C42—1582no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—3164no—
1492C23—3164no—
1493C23—3164no—
1494C23—3164no—
1495C23—3164no—
1496C23—3164no—
1497C23—792no—
1498C23—792no—
1499C23—792no—
1500C23—792no—
1501C23—1588no—
1502C23—1581no—
1503C23—1581no—
1504C23—1581no—
1505C23—1581no—
1506C23—1581no—
1507C23—1581no—
1508C23—1581no—
1509C23—1581no—
1510C23—1581no—
1511C23—1581no—
1512C23C2×D4×D7912yes—
1513C23C2×#1192962312yes—
1514C23C24×D7911yescharacteristic
1515Q8—44no—
1516Q8—3164no—
1517D4—44no—
1518D4—44no—
1519D4—44no—
1520D4—44no—
1521D4—44no—
1522D4—44no—
1523D4—3164no—
1524D4—3164no—
1525D4—3164no—
1526D4—3164no—
1527D4—3164no—
1528D4—1588no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
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—44no—
1556C2×C4—44no—
1557C2×C4—3164no—
1558C2×C4—3164no—
1559C2×C4—3164no—
1560C2×C4—3164no—
1561C2×C4—3164no—
1562C2×C4—3164no—
1563C2×C4—3164no—
1564C2×C4—3164no—
1565C2×C4—3164no—
1566C2×C4—3164no—
1567C2×C4—792no—
1568C2×C4—792no—
1569C2×C4—792no—
1570C2×C4—792no—
1571C2×C4—792no—
1572C2×C4—792no—
1573C2×C4—792no—
1574C2×C4—1588no—
1575C2×C4—1588no—
1576C2×C4—1581no—
1577C2×C4—1581no—
1578C2×C4—1581no—
1579C2×C4—1581no—
1580C2×C4—1581no—
1581C2×C4—1581no—
1582C2×C4—1581no—
1583C2×C4—1581no—
1584C2×C4—1581no—
1585C2×C4—1581no—
1586C2×C4—1581no—
1587C2×C4—1581no—
1588C2×C4—1581no—
1589C2×C4—1581no—
1590C2×C4—1581no—
1591C2×C4—1581no—
1592C2×C4—1581no—
1593C2×C4—1581no—
1594C2×C4—1581no—
1595C2×C4—1581no—
1596C2×C4—1581no—
1597C2×C4—1581no—
1598C2×C4—1581no—
1599C2×C4—1581no—
1600C2×C4—1581no—
1601C2×C4—1581no—
1602C2×C4—1581no—
1603C2×C4—1588no—
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×C4C2×D4×D7912yes—
1613C2×C4C2×D4×D7912yes—
1614C2×C4#41×D7912yes—
1615C2×C4#41×D7912yes—
1616C2×C4#41×D7912yes—
1617C2×C4C2×#1192962312yes—
1618C2×C4C2×#1192962312yes—
1619C22—22no—
1620C22—22no—
1621C22—22no—
1622C22—22no—
1623C22—22no—
1624C22—22no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—31616no—
1648C22—3161no—
1649C22—3161no—
1650C22—3161no—
1651C22—3161no—
1652C22—794no—
1653C22—1582no—
1654C22—1582no—
1655C22—1582no—
1656C22—1582no—
1657C22—1582no—
1658C22—1582no—
1659C22—1582no—
1660C22—1582no—
1661C22—1582no—
1662C22C22×D4×D7911yescharacteristic
1663C22C2×#41×D7911yescharacteristic
1664C22C2×#41×D7911yescharacteristic
1665C22C2×#41×D7911yescharacteristic
1666C22C22×#1192962311yescharacteristic
1667C22H(5,𝔽2)×D7911yescharacteristic
1668C22#1909939811yescharacteristic
1669C4—22no—
1670C4—22no—
1671C4—22no—
1672C4—22no—
1673C4—22no—
1674C4—22no—
1675C4—22no—
1676C4—41no—
1677C4—41no—
1678C4—41no—
1679C4—41no—
1680C4—3161no—
1681C4—3161no—
1682C4—3161no—
1683C4—3161no—
1684C4—3161no—
1685C4—3161no—
1686C4—3161no—
1687C4—3161no—
1688C4—3161no—
1689C4—794no—
1690C4—1582no—
1691C4—1582no—
1692C4—1582no—
1693C4—1582no—
1694C2—42no—
1695C2—42no—
1696C2—81no—
1697C2—81no—
1698C2—3162no—
1699C2—1584no—
1700C2#532×D7911yescharacteristic
1701C2#2377669511yescharacteristic
1702C2#2377681111yescharacteristic
1703C2#546×D7911yescharacteristic
1704C2D4×#1192962311yescharacteristic
1705C2#2377695711yescharacteristic
1706C2#2377700511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2555C2
hypercenter#2555D79
hypocenterC79#34829
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2555

Complements

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

NH ≅ G/Ntype
1. C2×#19099092C2semidirect
2. C2×#19099073C2semidirect
3. #23768548C2semidirect
4. #23768525C2semidirect
5. #23768520C2semidirect
6. #23768497C2semidirect
7. #23768484C2semidirect
8. #23768462C2semidirect
9. #23768439C2semidirect
10. #23768405C2semidirect
11. #23768355C2semidirect
12. #23768325C2semidirect
13. #23768285C2semidirect
14. #23767725C2semidirect
15. #23767522C2semidirect
16. #23766950C2semidirect
17. #23766933C2semidirect
18. #23766671C2semidirect
19. #23766656C2semidirect
20. #23766635C2semidirect
21. #23766612C2semidirect
22. #124×Dic79C2semidirect
23. #23765927C2semidirect
24. #23765916C2semidirect
25. #121×Dic79C2semidirect
26. #23765905C2semidirect
27. #23765885C2semidirect
28. #23765860C2semidirect
29. C4×(C22⋊D79)⋊C4C2semidirect
30. C4×C22⋊C4×D79C2semidirect
31. C79×#2555C2semidirect
35. C2×#14579154C22semidirect
36. C2×#14579154C22semidirect
37. C2×#14579153C22semidirect
53. C2×Q8×Dic79C22semidirect
57. C2×D4×Dic79C22semidirect
58. C2×D4×Dic79C22semidirect
66. C2×#14579117C22semidirect
67. C2×#14579117C22semidirect
70. C22×C4×Dic79C22semidirect
73. #19098505C22semidirect
74. #19098502C22semidirect
77. #19098496C22semidirect
78. #19098495C22semidirect
79. #19098495C22semidirect
80. #19098495C22semidirect
82. #19098491C22semidirect
83. #19098488C22semidirect
84. #19098488C22semidirect
86. #19098486C22semidirect
89. #19098484C22semidirect
95. #19098477C22semidirect
96. #19098477C22semidirect
97. #19098475C22semidirect
101. #19098470C22semidirect
102. #19098467C22semidirect
103. #19098467C22semidirect
110. #19098462C22semidirect
111. #19098461C22semidirect
112. #19098460C22semidirect
113. #19098458C22semidirect
114. #19098457C22semidirect
115. #19098457C22semidirect
119. #19098456C22semidirect
120. #19098456C22semidirect
121. #19098456C22semidirect
122. #19098456C22semidirect
125. #19098451C22semidirect
126. #19098448C22semidirect
127. #19098447C22semidirect
129. #19098443C22semidirect
130. #19098443C22semidirect
142. #19098429C22semidirect
144. #19098423C22semidirect
147. C4⋊C4×Dic79C22semidirect
148. C4⋊C4×Dic79C22semidirect
149. C4×Dic79⋊C4C22semidirect
150. #19098414C22semidirect
151. #19098414C22semidirect
152. #19098414C22semidirect
156. C22⋊C4×Dic79C22semidirect
157. C22⋊C4×Dic79C22semidirect
158. C22⋊C4×Dic79C22semidirect
159. C22⋊C4×Dic79C22semidirect
160. C22⋊C4×Dic79C22semidirect
161. C22⋊C4×Dic79C22semidirect
173. C42×Dic79C22semidirect
175. C2×#124×C79C22semidirect
178. #395×C79C22semidirect
181. #392×C79C22semidirect
182. #390×C79C22semidirect
183. #388×C79C22semidirect
184. #388×C79C22semidirect
186. #386×C79C22semidirect
188. C4×C22⋊C4×C79C22semidirect
244. (C22⋊D79)⋊C4D4semidirect
475. C2×C4×D79#41semidirect
532. (C2×D79)⋊C4#41semidirect
607. C22⋊C4×C79#41semidirect
861. #2555D79semidirect
885. C79#34829semidirect
893. C2×#124C2×D79semidirect
948. #395C2×D79semidirect
962. #392C2×D79semidirect
972. #390C2×D79semidirect
989. #388C2×D79semidirect
990. #388C2×D79semidirect
1004. #386C2×D79semidirect
1039. C4×C22⋊C4C2×D79semidirect
1445. C22⋊C4#11929623semidirect

Maximal subgroups

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

subgroupindex
C2×#190990922
C2×#190990732
#237685482
#237685252
#237685202
#237684972
#237684842
#237684622
#237684392
#237684052
#237683552
#237683252
#237682852
#237677252
#237675222
#237669502
#237669332
#237666712
#237666562
#237666352
#237666122
#124×Dic792
#237659272
#237659162
#121×Dic792
#237659052
#237658852
#237658602
C4×(C22⋊D79)⋊C42
C4×C22⋊C4×D792
C79×#25552
#3482979