Finite Group Databasebeta

← C79×#36713 #34148402

Subgroups — C79×#36713 #34148402

Order 20224.

2620 conjugacy classes of subgroups.

The subgroup lattice has 1812 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#540×C79C211yesmaximal, characteristic, complemented
2C2×#525×C79C211yesmaximal, characteristic, complemented
3C79×#2849C211yesmaximal, characteristic, complemented
4C79×#2847C211yesmaximal, characteristic, complemented
5C79×#2694C211yesmaximal, characteristic, complemented
6C79×#2693C211yesmaximal, characteristic, complemented
7C79×#2690C211yesmaximal, characteristic, complemented
8C79×#2688C211yesmaximal, characteristic, complemented
9C79×#2687C211yesmaximal, characteristic, complemented
10C79×#2678C211yesmaximal, characteristic, complemented
11C79×#2676C211yesmaximal, characteristic, complemented
12C79×#2675C211yesmaximal, characteristic, complemented
13C79×#2673C211yesmaximal, characteristic, complemented
14C79×#2673C211yesmaximal, characteristic, complemented
15C79×#2672C211yesmaximal, characteristic, complemented
16C79×#2671C211yesmaximal, characteristic, complemented
17C79×#2671C211yesmaximal, characteristic, complemented
18C79×#2669C211yesmaximal, characteristic, complemented
19C79×#2669C211yesmaximal, characteristic, complemented
20C79×#2668C211yesmaximal, characteristic, complemented
21C79×#2635C211yesmaximal, characteristic, complemented
22C79×#2630C211yesmaximal, characteristic, complemented
23C79×#2609C211yesmaximal, characteristic, complemented
24C79×#2602C211yesmaximal, characteristic, complemented
25C79×#2598C211yesmaximal, characteristic, complemented
26C79×#2598C211yesmaximal, characteristic, complemented
27C79×#2543C211yesmaximal, characteristic, complemented
28C79×#2535C211yesmaximal, characteristic, complemented
29C79×#2431C211yesmaximal, characteristic, complemented
30C79×#2430C211yesmaximal, characteristic, complemented
31C79×#2318C211yesmaximal, characteristic, complemented
32C22×#41×C79C2211yescharacteristic
33C24×C4×C79C2211yescharacteristic
34#540×C79—28no—
35C2×#127×C79C2211yescharacteristic
36C2×#127×C79C2211yescharacteristic
37C2×#125×C79C2211yescharacteristic, complemented
38C2×#124×C79C2211yescharacteristic, complemented
39#525×C79—28no—
40C2×#123×C79C2211yescharacteristic
41C2×#123×C79C2211yescharacteristic
42C2×#123×C79C2211yescharacteristic
43C2×#123×C79C2211yescharacteristic
44C2×#123×C79C2211yescharacteristic
45C2×#123×C79C2211yescharacteristic, complemented
46C2×#123×C79C2211yescharacteristic, complemented
47C2×C22⋊Q8×C79C2211yescharacteristic
48C2×C22⋊Q8×C79C2211yescharacteristic
49C2×#121×C79C2211yescharacteristic
50C2×#121×C79C2211yescharacteristic
51C2×#121×C79C2211yescharacteristic
52C2×#121×C79C2211yescharacteristic
53C2×#121×C79C2211yescharacteristic
54C2×#121×C79C2211yescharacteristic
55C2×#121×C79C2211yescharacteristic
56C2×#121×C79C2211yescharacteristic
57C2×#121×C79C2211yescharacteristic
58C2×#121×C79C2211yescharacteristic
59C2×#121×C79C2211yescharacteristic
60C2×#121×C79C2211yescharacteristic
61C2×#121×C79C2211yescharacteristic, complemented
62C2×#121×C79C2211yescharacteristic, complemented
63C2×#121×C79C2211yescharacteristic, complemented
64C2×#121×C79C2211yescharacteristic, complemented
65C2×#120×C79C2211yescharacteristic
66C2×#120×C79C2211yescharacteristic
67C2×#120×C79C2211yescharacteristic
68C2×#120×C79C2211yescharacteristic
69C2×#120×C79C2211yescharacteristic
70C2×C4×D4×C79C2211yescharacteristic
71C2×C4×D4×C79C2211yescharacteristic
72C2×C4×D4×C79C2211yescharacteristic
73C2×C4×D4×C79C2211yescharacteristic
74C2×C4×D4×C79C2211yescharacteristic, complemented
75C2×#117×C79C2211yescharacteristic
76C2×#117×C79C2211yescharacteristic, complemented
77#400×C79C2211yescharacteristic, complemented
78#400×C79C2211yescharacteristic, complemented
79#400×C79C2211yescharacteristic, complemented
80#399×C79C2211yescharacteristic
81#399×C79C2211yescharacteristic, complemented
82#399×C79C2211yescharacteristic, complemented
83#398×C79C2211yescharacteristic, complemented
84#398×C79C2211yescharacteristic, complemented
85#398×C79C2211yescharacteristic, complemented
86#397×C79C2211yescharacteristic
87#397×C79C2211yescharacteristic
88#397×C79C2211yescharacteristic
89#397×C79C2211yescharacteristic, complemented
90#397×C79C2211yescharacteristic, complemented
91#396×C79C2211yescharacteristic
92#396×C79C2211yescharacteristic, complemented
93#396×C79C2211yescharacteristic, complemented
94#396×C79C2211yescharacteristic, complemented
95#395×C79C2211yescharacteristic, complemented
96#394×C79C2211yescharacteristic
97#394×C79C2211yescharacteristic
98#394×C79C2211yescharacteristic
99#394×C79C2211yescharacteristic
100#394×C79C2211yescharacteristic
101#394×C79C2211yescharacteristic
102#394×C79C2211yescharacteristic
103#394×C79C2211yescharacteristic
104#394×C79C2211yescharacteristic, complemented
105#394×C79C2211yescharacteristic, complemented
106#394×C79C2211yescharacteristic, complemented
107#394×C79C2211yescharacteristic, complemented
108#394×C79C2211yescharacteristic, complemented
109#393×C79C2211yescharacteristic, complemented
110#392×C79C2211yescharacteristic
111#392×C79C2211yescharacteristic
112#392×C79C2211yescharacteristic
113#392×C79C2211yescharacteristic
114#392×C79C2211yescharacteristic
115#392×C79C2211yescharacteristic
116#392×C79C2211yescharacteristic
117#392×C79C2211yescharacteristic
118#392×C79C2211yescharacteristic
119#392×C79C2211yescharacteristic
120#392×C79C2211yescharacteristic
121#392×C79C2211yescharacteristic, complemented
122#392×C79C2211yescharacteristic, complemented
123#392×C79C2211yescharacteristic, complemented
124#392×C79C2211yescharacteristic, complemented
125#391×C79C2211yescharacteristic, complemented
126#390×C79C2211yescharacteristic
127#390×C79C2211yescharacteristic
128#389×C79C2211yescharacteristic, complemented
129#388×C79C2211yescharacteristic
130#388×C79C2211yescharacteristic
131#388×C79C2211yescharacteristic
132#388×C79C2211yescharacteristic
133#388×C79C2211yescharacteristic
134#388×C79C2211yescharacteristic, complemented
135#388×C79C2211yescharacteristic, complemented
136#388×C79C2211yescharacteristic, complemented
137#388×C79C2211yescharacteristic, complemented
138#388×C79C2211yescharacteristic, complemented
139#387×C79C2211yescharacteristic, complemented
140#387×C79C2211yescharacteristic, complemented
141#387×C79C2211yescharacteristic, complemented
142#387×C79C2211yescharacteristic, complemented
143#386×C79C2211yescharacteristic
144#386×C79C2211yescharacteristic
145#386×C79C2211yescharacteristic
146#386×C79C2211yescharacteristic
147#386×C79C2211yescharacteristic
148#386×C79C2211yescharacteristic
149#386×C79C2211yescharacteristic
150#386×C79C2211yescharacteristic
151#386×C79C2211yescharacteristic
152#386×C79C2211yescharacteristic
153#386×C79C2211yescharacteristic
154#386×C79C2211yescharacteristic
155#386×C79C2211yescharacteristic
156#386×C79C2211yescharacteristic
157#386×C79C2211yescharacteristic
158#386×C79C2211yescharacteristic
159#386×C79C2211yescharacteristic
160#386×C79C2211yescharacteristic, complemented
161#386×C79C2211yescharacteristic, complemented
162#386×C79C2211yescharacteristic, complemented
163#386×C79C2211yescharacteristic, complemented
164#386×C79C2211yescharacteristic, complemented
165#386×C79C2211yescharacteristic, complemented
166#386×C79C2211yescharacteristic, complemented
167#385×C79C2211yescharacteristic
168#385×C79C2211yescharacteristic
169#385×C79C2211yescharacteristic
170#385×C79C2211yescharacteristic
171#385×C79C2211yescharacteristic, complemented
172#385×C79C2211yescharacteristic, complemented
173#385×C79C2211yescharacteristic, complemented
174#385×C79C2211yescharacteristic, complemented
175#385×C79C2211yescharacteristic, complemented
176#385×C79C2211yescharacteristic, complemented
177#383×C79C2211yescharacteristic, complemented
178#382×C79C2211yescharacteristic, complemented
179#381×C79C2211yescharacteristic
180#381×C79C2211yescharacteristic
181#380×C79C2211yescharacteristic
182#380×C79C2211yescharacteristic
183#380×C79C2211yescharacteristic
184#380×C79C2211yescharacteristic, complemented
185#380×C79C2211yescharacteristic, complemented
186#379×C79C2211yescharacteristic
187C4×C22⋊C4×C79C2211yescharacteristic, complemented
188C2×#95×C79C2211yescharacteristic, complemented
189C25×C79C2311yescharacteristic
190C2×#41×C79—24no—
191C2×#41×C79—42no—
192C2×#41×C79—42no—
193C22×Q8×C79C2311yescharacteristic
194C22×D4×C79C2311yescharacteristic
195C22×D4×C79C2311yescharacteristic
196C22×D4×C79C2311yescharacteristic
197C22×D4×C79C2311yescharacteristic
198C22×D4×C79C2311yescharacteristic
199C22×D4×C79C2311yescharacteristic
200C22×D4×C79C2311yescharacteristic
201C22×D4×C79C2311yescharacteristic
202C22×D4×C79C2311yescharacteristic
203C22×D4×C79C2311yescharacteristic
204C22×D4×C79C2311yescharacteristic
205C22×D4×C79C2311yescharacteristic
206C22×D4×C79C2311yescharacteristic
207C22×D4×C79C2311yescharacteristic
208C22×D4×C79C2311yescharacteristic
209C22×D4×C79C2311yescharacteristic
210C22×D4×C79C2311yescharacteristic
211C22×D4×C79C2311yescharacteristic
212C22×D4×C79C2311yescharacteristic
213C22×D4×C79C2311yescharacteristic
214C22×D4×C79C2311yescharacteristic
215C22×D4×C79C2311yescharacteristic
216C22×D4×C79C2311yescharacteristic
217C22×D4×C79C2311yescharacteristic
218C22×D4×C79C2311yescharacteristic
219C23×C4×C79—24no—
220C23×C4×C79—42no—
221C23×C4×C79—42no—
222C23×C4×C79C2311yescharacteristic
223C23×C4×C79C2311yescharacteristic
224C23×C4×C79C2311yescharacteristic
225C23×C4×C79C2311yescharacteristic
226C23×C4×C79C2311yescharacteristic
227C23×C4×C79C2311yescharacteristic
228C23×C4×C79C2311yescharacteristic
229C23×C4×C79C2311yescharacteristic
230C23×C4×C79C2311yescharacteristic
231C23×C4×C79C2311yescharacteristic
232C23×C4×C79C2311yescharacteristic
233C23×C4×C79C2311yescharacteristic
234C23×C4×C79C2311yescharacteristic
235#127×C79—24no—
236#127×C79—42no—
237#125×C79—24no—
238#124×C79—42no—
239#123×C79—24no—
240#123×C79—24no—
241#123×C79—24no—
242#123×C79—24no—
243#123×C79—24no—
244#123×C79—24no—
245#123×C79—42no—
246C22⋊Q8×C79—24no—
247C22⋊Q8×C79—24no—
248#121×C79—24no—
249#121×C79—24no—
250#121×C79—24no—
251#121×C79—24no—
252#121×C79—24no—
253#121×C79—24no—
254#121×C79—24no—
255#121×C79—24no—
256#121×C79—42no—
257#121×C79—42no—
258#121×C79—42no—
259#121×C79—42no—
260#121×C79—42no—
261#121×C79—42no—
262#121×C79—42no—
263#121×C79—42no—
264#120×C79—24no—
265#120×C79—24no—
266#120×C79—42no—
267#120×C79—42no—
268#120×C79—42no—
269C4×D4×C79—24no—
270C4×D4×C79—24no—
271C4×D4×C79—24no—
272C4×D4×C79—24no—
273C4×D4×C79D418yescomplemented
274#117×C79—24no—
275#117×C79—24no—
276C2×C4⋊C4×C79C2311yescharacteristic
277C2×C4⋊C4×C79C2311yescharacteristic
278C2×C4⋊C4×C79C2311yescharacteristic
279C2×C4⋊C4×C79C2311yescharacteristic
280C2×C4⋊C4×C79C2311yescharacteristic
281C2×C4⋊C4×C79C2311yescharacteristic
282C2×C4⋊C4×C79C2311yescharacteristic
283C2×C4⋊C4×C79C2311yescharacteristic
284C2×C4⋊C4×C79C2311yescharacteristic
285C2×C4⋊C4×C79C2311yescharacteristic
286C2×C4⋊C4×C79C2311yescharacteristic
287C2×C4⋊C4×C79C2311yescharacteristic
288C2×C4⋊C4×C79C2311yescharacteristic
289C2×C4⋊C4×C79C2311yescharacteristic
290C2×C4⋊C4×C79C2311yescharacteristic
291C2×C4⋊C4×C79C2311yescharacteristic
292C2×C4⋊C4×C79C2311yescharacteristic
293C2×C4⋊C4×C79C2311yescharacteristic
294C2×C4⋊C4×C79C2311yescharacteristic
295C2×C4⋊C4×C79C2311yescharacteristic
296C2×C4⋊C4×C79C2311yescharacteristic
297C2×C4⋊C4×C79C2311yescharacteristic
298C2×C4⋊C4×C79C2311yescharacteristic
299C2×C4⋊C4×C79C2311yescharacteristic
300C2×C22⋊C4×C79C2311yescharacteristic
301C2×C22⋊C4×C79C2311yescharacteristic
302C2×C22⋊C4×C79C2311yescharacteristic
303C2×C22⋊C4×C79C2311yescharacteristic
304C2×C22⋊C4×C79C2311yescharacteristic
305C2×C22⋊C4×C79C2311yescharacteristic
306C2×C22⋊C4×C79C2311yescharacteristic
307C2×C22⋊C4×C79C2311yescharacteristic
308C2×C22⋊C4×C79C2311yescharacteristic
309C2×C22⋊C4×C79C2311yescharacteristic
310C2×C22⋊C4×C79C2311yescharacteristic
311C2×C22⋊C4×C79C2311yescharacteristic
312C2×C22⋊C4×C79C2311yescharacteristic
313C2×C22⋊C4×C79C2311yescharacteristic
314C2×C22⋊C4×C79C2311yescharacteristic
315C2×C22⋊C4×C79C2311yescharacteristic
316C2×C22⋊C4×C79C2311yescharacteristic
317C2×C22⋊C4×C79C2311yescharacteristic
318C2×C22⋊C4×C79C2311yescharacteristic
319C2×C22⋊C4×C79C2311yescharacteristic
320C2×C22⋊C4×C79C2311yescharacteristic
321C2×C22⋊C4×C79C2311yescharacteristic
322C2×C22⋊C4×C79C2311yescharacteristic
323C2×C22⋊C4×C79C2311yescharacteristic
324C2×C22⋊C4×C79C2311yescharacteristic
325C2×C22⋊C4×C79C2311yescharacteristic
326C2×C22⋊C4×C79C2311yescharacteristic
327C2×C22⋊C4×C79C2311yescharacteristic
328C2×C22⋊C4×C79C2311yescharacteristic
329C2×C22⋊C4×C79C2311yescharacteristic
330C2×C22⋊C4×C79C2311yescharacteristic
331C2×C22⋊C4×C79C2311yescharacteristic
332C2×C22⋊C4×C79C2311yescharacteristic
333C2×C22⋊C4×C79C2311yescharacteristic
334C2×C22⋊C4×C79C2311yescharacteristic
335C2×C22⋊C4×C79C2311yescharacteristic
336C2×C22⋊C4×C79C2311yescharacteristic
337C2×C22⋊C4×C79C2311yescharacteristic
338C2×C22⋊C4×C79C2311yescharacteristic
339C2×C22⋊C4×C79C2311yescharacteristic
340C2×C22⋊C4×C79C2311yescharacteristic
341C2×C22⋊C4×C79C2311yescharacteristic
342C2×C22⋊C4×C79C2311yescharacteristic
343C2×C22⋊C4×C79C2311yescharacteristic
344C2×C22⋊C4×C79C2311yescharacteristic
345C2×C22⋊C4×C79C2311yescharacteristic
346C2×C22⋊C4×C79C2311yescharacteristic
347C2×C22⋊C4×C79C2311yescharacteristic
348C2×C22⋊C4×C79C2311yescharacteristic
349C2×C22⋊C4×C79C2311yescharacteristic
350C2×C22⋊C4×C79C2311yescharacteristic
351C2×C22⋊C4×C79C2311yescharacteristic
352C2×C22⋊C4×C79C2311yescharacteristic
353C2×C22⋊C4×C79C2311yescharacteristic
354C2×C42×C79C2311yescharacteristic
355C2×C42×C79C2311yescharacteristic
356C2×C42×C79C2311yescharacteristic
357C2×C42×C79C2311yescharacteristic
358C2×C42×C79C2311yescharacteristic
359#95×C79C2311yescharacteristic
360#95×C79C2311yescharacteristic
361#95×C79C2311yescharacteristic
362#95×C79C2311yescharacteristic
363#95×C79C2311yescharacteristic
364#95×C79C2311yescharacteristic
365#95×C79C2311yescharacteristic
366#95×C79C2311yescharacteristic
367#95×C79C2311yescharacteristic
368#95×C79C2311yescharacteristic
369#95×C79C2311yescharacteristic
370#95×C79C2311yescharacteristic
371#95×C79C2311yescharacteristic
372#95×C79C2311yescharacteristic
373#95×C79C2311yescharacteristic
374#95×C79C2311yescharacteristic
375#95×C79C2311yescharacteristic
376#95×C79C2311yescharacteristic
377#95×C79C2311yescharacteristic
378#95×C79C2311yescharacteristic
379#95×C79C2311yescharacteristic
380#95×C79C2311yescharacteristic
381#95×C79C2311yescharacteristic
382#95×C79C2311yescharacteristic
383#95×C79C2311yescharacteristic
384#95×C79C2311yescharacteristic
385#95×C79C2311yescharacteristic
386#95×C79C2311yescharacteristic
387#95×C79C2311yescharacteristic
388#95×C79C2311yescharacteristic
389#95×C79C2311yescharacteristic
390#95×C79C2311yescharacteristic
391C24×C79—22no—
392C24×C79—22no—
393C24×C79—22no—
394C24×C79—41no—
395C24×C79—41no—
396C24×C79—41no—
397C24×C79—41no—
398C24×C79C2411yescharacteristic
399C24×C79C2411yescharacteristic
400C24×C79C2411yescharacteristic
401C24×C79C2411yescharacteristic
402C24×C79C2411yescharacteristic
403C24×C79C2411yescharacteristic
404C24×C79C2411yescharacteristic
405C24×C79C2411yescharacteristic
406#41×C79—416no—
407C2×Q8×C79—22no—
408C2×Q8×C79—22no—
409C2×Q8×C79—41no—
410C2×D4×C79—22no—
411C2×D4×C79—22no—
412C2×D4×C79—22no—
413C2×D4×C79—22no—
414C2×D4×C79—22no—
415C2×D4×C79—22no—
416C2×D4×C79—22no—
417C2×D4×C79—22no—
418C2×D4×C79—22no—
419C2×D4×C79—22no—
420C2×D4×C79—22no—
421C2×D4×C79—22no—
422C2×D4×C79—22no—
423C2×D4×C79—22no—
424C2×D4×C79—22no—
425C2×D4×C79—22no—
426C2×D4×C79—22no—
427C2×D4×C79—22no—
428C2×D4×C79—22no—
429C2×D4×C79—22no—
430C2×D4×C79—22no—
431C2×D4×C79—22no—
432C2×D4×C79—22no—
433C2×D4×C79—22no—
434C2×D4×C79—22no—
435C2×D4×C79—22no—
436C2×D4×C79—41no—
437C2×D4×C79—41no—
438C2×D4×C79—41no—
439C2×D4×C79—41no—
440C2×D4×C79—41no—
441C2×D4×C79—41no—
442C2×D4×C79—41no—
443C2×D4×C79—41no—
444C2×D4×C79—41no—
445C2×D4×C79—41no—
446C2×D4×C79—41no—
447C2×D4×C79—41no—
448C2×D4×C79—41no—
449C2×D4×C79—41no—
450C2×D4×C79—41no—
451C2×D4×C79—41no—
452C2×D4×C79—41no—
453C2×D4×C79—41no—
454C2×D4×C79—41no—
455C2×D4×C79—41no—
456C2×D4×C79—41no—
457C2×D4×C79—41no—
458C2×D4×C79—41no—
459C2×D4×C79—41no—
460C2×D4×C79—41no—
461C2×D4×C79—41no—
462C2×D4×C79—41no—
463C2×D4×C79—41no—
464C2×D4×C79—41no—
465C2×D4×C79—41no—
466C2×D4×C79—41no—
467C2×D4×C79—41no—
468C2×D4×C79—41no—
469C2×D4×C79—41no—
470C2×D4×C79—41no—
471C2×D4×C79—41no—
472C2×D4×C79—41no—
473C2×D4×C79—41no—
474C2×D4×C79—41no—
475C2×D4×C79—41no—
476C2×D4×C79—41no—
477C2×D4×C79—41no—
478C2×D4×C79—41no—
479C2×D4×C79—41no—
480C2×D4×C79—41no—
481C2×D4×C79—41no—
482C2×D4×C79—41no—
483C2×D4×C79—41no—
484C2×D4×C79C2×D414yes—
485C22×C4×C79—22no—
486C22×C4×C79—22no—
487C22×C4×C79—22no—
488C22×C4×C79—22no—
489C22×C4×C79—22no—
490C22×C4×C79—22no—
491C22×C4×C79—22no—
492C22×C4×C79—22no—
493C22×C4×C79—22no—
494C22×C4×C79—22no—
495C22×C4×C79—22no—
496C22×C4×C79—22no—
497C22×C4×C79—22no—
498C22×C4×C79—22no—
499C22×C4×C79—41no—
500C22×C4×C79—41no—
501C22×C4×C79—41no—
502C22×C4×C79—41no—
503C22×C4×C79—41no—
504C22×C4×C79—41no—
505C22×C4×C79—41no—
506C22×C4×C79—41no—
507C22×C4×C79—41no—
508C22×C4×C79—41no—
509C22×C4×C79—41no—
510C22×C4×C79—41no—
511C22×C4×C79—41no—
512C22×C4×C79—41no—
513C22×C4×C79—41no—
514C22×C4×C79—41no—
515C22×C4×C79—41no—
516C22×C4×C79—41no—
517C22×C4×C79—41no—
518C22×C4×C79—41no—
519C22×C4×C79—41no—
520C22×C4×C79—41no—
521C22×C4×C79—41no—
522C22×C4×C79—416no—
523C22×C4×C79C2×D414yes—
524C22×C4×C79C2×D414yes—
525C22×C4×C79C2411yescharacteristic
526C22×C4×C79C2411yescharacteristic
527C22×C4×C79C2411yescharacteristic
528C22×C4×C79C2411yescharacteristic
529C22×C4×C79C2411yescharacteristic
530C22×C4×C79C2411yescharacteristic
531C22×C4×C79C2411yescharacteristic
532C22×C4×C79C2411yescharacteristic
533C22×C4×C79C2411yescharacteristic
534C22×C4×C79C2411yescharacteristic
535C22×C4×C79C2411yescharacteristic
536C22×C4×C79C2411yescharacteristic
537C22×C4×C79C2411yescharacteristic
538C22×C4×C79C2411yescharacteristic
539C22×C4×C79C2411yescharacteristic
540C22×C4×C79C2411yescharacteristic
541C22×C4×C79C2411yescharacteristic
542C22×C4×C79C2411yescharacteristic
543C22×C4×C79C2411yescharacteristic
544C22×C4×C79C2411yescharacteristic
545C22×C4×C79C2411yescharacteristic
546C22×C4×C79C2411yescharacteristic
547C22×C4×C79C2411yescharacteristic
548C4⋊C4×C79—22no—
549C4⋊C4×C79—22no—
550C4⋊C4×C79—22no—
551C4⋊C4×C79—22no—
552C4⋊C4×C79—22no—
553C4⋊C4×C79—22no—
554C4⋊C4×C79—22no—
555C4⋊C4×C79—22no—
556C4⋊C4×C79—22no—
557C4⋊C4×C79—22no—
558C4⋊C4×C79—22no—
559C4⋊C4×C79—22no—
560C4⋊C4×C79—22no—
561C4⋊C4×C79—41no—
562C4⋊C4×C79—41no—
563C4⋊C4×C79—41no—
564C4⋊C4×C79—41no—
565C4⋊C4×C79—41no—
566C4⋊C4×C79—41no—
567C4⋊C4×C79—41no—
568C4⋊C4×C79—41no—
569C4⋊C4×C79—41no—
570C4⋊C4×C79—41no—
571C4⋊C4×C79C2×D414yes—
572C22⋊C4×C79—22no—
573C22⋊C4×C79—22no—
574C22⋊C4×C79—22no—
575C22⋊C4×C79—22no—
576C22⋊C4×C79—22no—
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—22no—
584C22⋊C4×C79—22no—
585C22⋊C4×C79—22no—
586C22⋊C4×C79—22no—
587C22⋊C4×C79—22no—
588C22⋊C4×C79—22no—
589C22⋊C4×C79—22no—
590C22⋊C4×C79—22no—
591C22⋊C4×C79—22no—
592C22⋊C4×C79—22no—
593C22⋊C4×C79—22no—
594C22⋊C4×C79—22no—
595C22⋊C4×C79—41no—
596C22⋊C4×C79—41no—
597C22⋊C4×C79—41no—
598C22⋊C4×C79—41no—
599C22⋊C4×C79—41no—
600C22⋊C4×C79—41no—
601C22⋊C4×C79—41no—
602C22⋊C4×C79—41no—
603C22⋊C4×C79—41no—
604C22⋊C4×C79—41no—
605C22⋊C4×C79—41no—
606C22⋊C4×C79—41no—
607C22⋊C4×C79—41no—
608C22⋊C4×C79—41no—
609C22⋊C4×C79—41no—
610C22⋊C4×C79—41no—
611C22⋊C4×C79—41no—
612C22⋊C4×C79—41no—
613C22⋊C4×C79—41no—
614C22⋊C4×C79—41no—
615C22⋊C4×C79—41no—
616C22⋊C4×C79—41no—
617C22⋊C4×C79—41no—
618C22⋊C4×C79—41no—
619C22⋊C4×C79—41no—
620C22⋊C4×C79—41no—
621C22⋊C4×C79—41no—
622C22⋊C4×C79—41no—
623C22⋊C4×C79—41no—
624C22⋊C4×C79C2×D414yes—
625C22⋊C4×C79C2×D414yes—
626C42×C79—22no—
627C42×C79—22no—
628C42×C79—41no—
629C42×C79—41no—
630C42×C79C2×D414yes—
631C23×C79—21no—
632C23×C79—21no—
633C23×C79—21no—
634C23×C79—21no—
635C23×C79—21no—
636C23×C79—21no—
637C23×C79—21no—
638C23×C79—21no—
639C23×C79—21no—
640C23×C79—21no—
641C23×C79—21no—
642C23×C79—21no—
643C23×C79—21no—
644C23×C79—21no—
645C23×C79—21no—
646C23×C79—21no—
647C23×C79—21no—
648C23×C79—21no—
649C23×C79—21no—
650C23×C79—21no—
651C23×C79—21no—
652C23×C79—21no—
653C23×C79—21no—
654C23×C79—21no—
655C23×C79—21no—
656C23×C79—21no—
657C23×C79—21no—
658C23×C79—21no—
659C23×C79—21no—
660C23×C79—21no—
661C23×C79—21no—
662C23×C79—21no—
663C23×C79—21no—
664C23×C79—21no—
665C23×C79—21no—
666C23×C79—21no—
667C23×C79—21no—
668C23×C79—21no—
669C23×C79—21no—
670C23×C79—21no—
671C23×C79—21no—
672C23×C79—21no—
673C23×C79—21no—
674C23×C79—21no—
675C23×C79—21no—
676C23×C79—21no—
677C23×C79—21no—
678C23×C79—21no—
679C23×C79—21no—
680C23×C79—21no—
681C23×C79—21no—
682C23×C79—21no—
683C23×C79—44no—
684C23×C79—44no—
685C23×C79—44no—
686C23×C79—44no—
687C23×C79—44no—
688C23×C79—44no—
689C23×C79—44no—
690C23×C79C22×D412yes—
691C23×C79C22×D412yes—
692C23×C79H(5,𝔽2)12yes—
693C23×C79H(5,𝔽2)12yes—
694C23×C79C2511yescharacteristic
695Q8×C79—44no—
696D4×C79—44no—
697D4×C79—44no—
698D4×C79—44no—
699D4×C79—44no—
700D4×C79—44no—
701D4×C79—44no—
702D4×C79—44no—
703D4×C79—44no—
704D4×C79—82no—
705D4×C79—82no—
706D4×C79—82no—
707D4×C79—82no—
708D4×C79—82no—
709D4×C79—82no—
710D4×C79—82no—
711D4×C79—82no—
712D4×C79—82no—
713D4×C79—82no—
714D4×C79—82no—
715D4×C79—82no—
716D4×C79—82no—
717D4×C79—82no—
718D4×C79—82no—
719D4×C79—82no—
720D4×C79—82no—
721C2×C4×C79—28no—
722C2×C4×C79—21no—
723C2×C4×C79—21no—
724C2×C4×C79—21no—
725C2×C4×C79—21no—
726C2×C4×C79—21no—
727C2×C4×C79—21no—
728C2×C4×C79—21no—
729C2×C4×C79—21no—
730C2×C4×C79—21no—
731C2×C4×C79—21no—
732C2×C4×C79—21no—
733C2×C4×C79—21no—
734C2×C4×C79—21no—
735C2×C4×C79—21no—
736C2×C4×C79—21no—
737C2×C4×C79—21no—
738C2×C4×C79—21no—
739C2×C4×C79—21no—
740C2×C4×C79—21no—
741C2×C4×C79—21no—
742C2×C4×C79—21no—
743C2×C4×C79—21no—
744C2×C4×C79—21no—
745C2×C4×C79—21no—
746C2×C4×C79—21no—
747C2×C4×C79—21no—
748C2×C4×C79—21no—
749C2×C4×C79—21no—
750C2×C4×C79—21no—
751C2×C4×C79—21no—
752C2×C4×C79—21no—
753C2×C4×C79—21no—
754C2×C4×C79—21no—
755C2×C4×C79—21no—
756C2×C4×C79—21no—
757C2×C4×C79—21no—
758C2×C4×C79—21no—
759C2×C4×C79—21no—
760C2×C4×C79—21no—
761C2×C4×C79—21no—
762C2×C4×C79—21no—
763C2×C4×C79—21no—
764C2×C4×C79—21no—
765C2×C4×C79—21no—
766C2×C4×C79—21no—
767C2×C4×C79—21no—
768C2×C4×C79—21no—
769C2×C4×C79—21no—
770C2×C4×C79—21no—
771C2×C4×C79—21no—
772C2×C4×C79—21no—
773C2×C4×C79—21no—
774C2×C4×C79—21no—
775C2×C4×C79—21no—
776C2×C4×C79—21no—
777C2×C4×C79—21no—
778C2×C4×C79—21no—
779C2×C4×C79—21no—
780C2×C4×C79—21no—
781C2×C4×C79—21no—
782C2×C4×C79—21no—
783C2×C4×C79—21no—
784C2×C4×C79—21no—
785C2×C4×C79—44no—
786C2×C4×C79—44no—
787C2×C4×C79—44no—
788C2×C4×C79—44no—
789C2×C4×C79—44no—
790C2×C4×C79—44no—
791C2×C4×C79—44no—
792C2×C4×C79—44no—
793C2×C4×C79—82no—
794C2×C4×C79—82no—
795C2×C4×C79—82no—
796C2×C4×C79—82no—
797C2×C4×C79C22×D412yes—
798C2×C4×C79C22×D412yes—
799C2×C4×C79C22×D412yes—
800C2×C4×C79C22×D412yes—
801C2×C4×C79C22×D412yes—
802C2×C4×C79H(5,𝔽2)12yes—
803C22×C79—22no—
804C22×C79—22no—
805C22×C79—22no—
806C22×C79—22no—
807C22×C79—22no—
808C22×C79—22no—
809C22×C79—22no—
810C22×C79—22no—
811C22×C79—22no—
812C22×C79—22no—
813C22×C79—22no—
814C22×C79—22no—
815C22×C79—416no—
816C22×C79—41no—
817C22×C79—41no—
818C22×C79—41no—
819C22×C79—41no—
820C22×C79—41no—
821C22×C79—41no—
822C22×C79—41no—
823C22×C79—41no—
824C22×C79—41no—
825C22×C79—41no—
826C22×C79—41no—
827C22×C79—41no—
828C22×C79—41no—
829C22×C79—41no—
830C22×C79—41no—
831C22×C79—41no—
832C22×C79—41no—
833C22×C79—41no—
834C22×C79—41no—
835C22×C79—41no—
836C22×C79—41no—
837C22×C79—41no—
838C22×C79—41no—
839C22×C79—41no—
840C22×C79—41no—
841C22×C79—41no—
842C22×C79—41no—
843C22×C79—41no—
844C22×C79—41no—
845C22×C79—41no—
846C22×C79—41no—
847C22×C79—41no—
848C22×C79—41no—
849C22×C79—41no—
850C22×C79—41no—
851C22×C79—41no—
852C22×C79—41no—
853C22×C79—41no—
854C22×C79—41no—
855C22×C79—41no—
856C22×C79—41no—
857C22×C79—41no—
858C22×C79—41no—
859C22×C79—41no—
860C22×C79C23×D411yescharacteristic
861C22×C79C2×H(5,𝔽2)11yescharacteristic
862C22×C79C2×H(5,𝔽2)11yescharacteristic
863C22×C79C2×H(5,𝔽2)11yescharacteristic
864C22×C79#58511yescharacteristic
865C22×C79#58511yescharacteristic
866C22×C79#58511yescharacteristic
867C4×C79—22no—
868C4×C79—22no—
869C4×C79—22no—
870C4×C79—22no—
871C4×C79—22no—
872C4×C79—22no—
873C4×C79—41no—
874C4×C79—41no—
875C4×C79—41no—
876C4×C79—41no—
877C4×C79—41no—
878C4×C79—41no—
879C4×C79—41no—
880C4×C79—41no—
881C4×C79—41no—
882C4×C79—41no—
883C4×C79—41no—
884C4×C79—41no—
885C4×C79—41no—
886C4×C79—41no—
887C4×C79—41no—
888C4×C79—41no—
889C4×C79—41no—
890#36713C7911yesmaximal, characteristic, direct product factor, Sylow
891C2×C79—42no—
892C2×C79—42no—
893C2×C79—42no—
894C2×C79—42no—
895C2×C79—81no—
896C2×C79—81no—
897C2×C79—81no—
898C2×C79—81no—
899C2×C79#344911yescharacteristic
900C2×C79#348411yescharacteristic
901C2×C79#348811yescharacteristic
902C2×C79#353311yescharacteristic
903C2×C79#353411yescharacteristic
904C2×C79#353911yescharacteristic
905C2×C79#354211yescharacteristic
906C2×#540C2×C7911yescharacteristic, complemented
907C2×#525C2×C7911yescharacteristic, complemented
908#2849C2×C7911yescharacteristic, complemented
909#2847C2×C7911yescharacteristic, complemented
910#2694C2×C7911yescharacteristic, complemented
911#2693C2×C7911yescharacteristic, complemented
912#2690C2×C7911yescharacteristic, complemented
913#2688C2×C7911yescharacteristic, complemented
914#2687C2×C7911yescharacteristic, complemented
915#2678C2×C7911yescharacteristic, complemented
916#2676C2×C7911yescharacteristic, complemented
917#2675C2×C7911yescharacteristic, complemented
918#2673C2×C7911yescharacteristic, complemented
919#2673C2×C7911yescharacteristic, complemented
920#2672C2×C7911yescharacteristic, complemented
921#2671C2×C7911yescharacteristic, complemented
922#2671C2×C7911yescharacteristic, complemented
923#2669C2×C7911yescharacteristic, complemented
924#2669C2×C7911yescharacteristic, complemented
925#2668C2×C7911yescharacteristic, complemented
926#2635C2×C7911yescharacteristic, complemented
927#2630C2×C7911yescharacteristic, complemented
928#2609C2×C7911yescharacteristic, complemented
929#2602C2×C7911yescharacteristic, complemented
930#2598C2×C7911yescharacteristic, complemented
931#2598C2×C7911yescharacteristic, complemented
932#2543C2×C7911yescharacteristic, complemented
933#2535C2×C7911yescharacteristic, complemented
934#2431C2×C7911yescharacteristic, complemented
935#2430C2×C7911yescharacteristic, complemented
936#2318C2×C7911yescharacteristic, complemented
937C79#3671311yescharacteristic, direct product factor, Sylow
938C22×#41C22×C7911yescharacteristic
939C24×C4C22×C7911yescharacteristic
940#540—28no—
941C2×#127C22×C7911yescharacteristic
942C2×#127C22×C7911yescharacteristic
943C2×#125C22×C7911yescharacteristic, complemented
944C2×#124C22×C7911yescharacteristic, complemented
945#525—28no—
946C2×#123C22×C7911yescharacteristic
947C2×#123C22×C7911yescharacteristic
948C2×#123C22×C7911yescharacteristic
949C2×#123C22×C7911yescharacteristic
950C2×#123C22×C7911yescharacteristic
951C2×#123C22×C7911yescharacteristic, complemented
952C2×#123C22×C7911yescharacteristic, complemented
953C2×C22⋊Q8C22×C7911yescharacteristic
954C2×C22⋊Q8C22×C7911yescharacteristic
955C2×#121C22×C7911yescharacteristic
956C2×#121C22×C7911yescharacteristic
957C2×#121C22×C7911yescharacteristic
958C2×#121C22×C7911yescharacteristic
959C2×#121C22×C7911yescharacteristic
960C2×#121C22×C7911yescharacteristic
961C2×#121C22×C7911yescharacteristic
962C2×#121C22×C7911yescharacteristic
963C2×#121C22×C7911yescharacteristic
964C2×#121C22×C7911yescharacteristic
965C2×#121C22×C7911yescharacteristic
966C2×#121C22×C7911yescharacteristic
967C2×#121C22×C7911yescharacteristic, complemented
968C2×#121C22×C7911yescharacteristic, complemented
969C2×#121C22×C7911yescharacteristic, complemented
970C2×#121C22×C7911yescharacteristic, complemented
971C2×#120C22×C7911yescharacteristic
972C2×#120C22×C7911yescharacteristic
973C2×#120C22×C7911yescharacteristic
974C2×#120C22×C7911yescharacteristic
975C2×#120C22×C7911yescharacteristic
976C2×C4×D4C22×C7911yescharacteristic
977C2×C4×D4C22×C7911yescharacteristic
978C2×C4×D4C22×C7911yescharacteristic
979C2×C4×D4C22×C7911yescharacteristic
980C2×C4×D4C22×C7911yescharacteristic, complemented
981C2×#117C22×C7911yescharacteristic
982C2×#117C22×C7911yescharacteristic, complemented
983#400C22×C7911yescharacteristic, complemented
984#400C22×C7911yescharacteristic, complemented
985#400C22×C7911yescharacteristic, complemented
986#399C22×C7911yescharacteristic
987#399C22×C7911yescharacteristic, complemented
988#399C22×C7911yescharacteristic, complemented
989#398C22×C7911yescharacteristic, complemented
990#398C22×C7911yescharacteristic, complemented
991#398C22×C7911yescharacteristic, complemented
992#397C22×C7911yescharacteristic
993#397C22×C7911yescharacteristic
994#397C22×C7911yescharacteristic
995#397C22×C7911yescharacteristic, complemented
996#397C22×C7911yescharacteristic, complemented
997#396C22×C7911yescharacteristic
998#396C22×C7911yescharacteristic, complemented
999#396C22×C7911yescharacteristic, complemented
1000#396C22×C7911yescharacteristic, complemented
1001#395C22×C7911yescharacteristic, complemented
1002#394C22×C7911yescharacteristic
1003#394C22×C7911yescharacteristic
1004#394C22×C7911yescharacteristic
1005#394C22×C7911yescharacteristic
1006#394C22×C7911yescharacteristic
1007#394C22×C7911yescharacteristic
1008#394C22×C7911yescharacteristic
1009#394C22×C7911yescharacteristic
1010#394C22×C7911yescharacteristic, complemented
1011#394C22×C7911yescharacteristic, complemented
1012#394C22×C7911yescharacteristic, complemented
1013#394C22×C7911yescharacteristic, complemented
1014#394C22×C7911yescharacteristic, complemented
1015#393C22×C7911yescharacteristic, complemented
1016#392C22×C7911yescharacteristic
1017#392C22×C7911yescharacteristic
1018#392C22×C7911yescharacteristic
1019#392C22×C7911yescharacteristic
1020#392C22×C7911yescharacteristic
1021#392C22×C7911yescharacteristic
1022#392C22×C7911yescharacteristic
1023#392C22×C7911yescharacteristic
1024#392C22×C7911yescharacteristic
1025#392C22×C7911yescharacteristic
1026#392C22×C7911yescharacteristic
1027#392C22×C7911yescharacteristic, complemented
1028#392C22×C7911yescharacteristic, complemented
1029#392C22×C7911yescharacteristic, complemented
1030#392C22×C7911yescharacteristic, complemented
1031#391C22×C7911yescharacteristic, complemented
1032#390C22×C7911yescharacteristic
1033#390C22×C7911yescharacteristic
1034#389C22×C7911yescharacteristic, complemented
1035#388C22×C7911yescharacteristic
1036#388C22×C7911yescharacteristic
1037#388C22×C7911yescharacteristic
1038#388C22×C7911yescharacteristic
1039#388C22×C7911yescharacteristic
1040#388C22×C7911yescharacteristic, complemented
1041#388C22×C7911yescharacteristic, complemented
1042#388C22×C7911yescharacteristic, complemented
1043#388C22×C7911yescharacteristic, complemented
1044#388C22×C7911yescharacteristic, complemented
1045#387C22×C7911yescharacteristic, complemented
1046#387C22×C7911yescharacteristic, complemented
1047#387C22×C7911yescharacteristic, complemented
1048#387C22×C7911yescharacteristic, complemented
1049#386C22×C7911yescharacteristic
1050#386C22×C7911yescharacteristic
1051#386C22×C7911yescharacteristic
1052#386C22×C7911yescharacteristic
1053#386C22×C7911yescharacteristic
1054#386C22×C7911yescharacteristic
1055#386C22×C7911yescharacteristic
1056#386C22×C7911yescharacteristic
1057#386C22×C7911yescharacteristic
1058#386C22×C7911yescharacteristic
1059#386C22×C7911yescharacteristic
1060#386C22×C7911yescharacteristic
1061#386C22×C7911yescharacteristic
1062#386C22×C7911yescharacteristic
1063#386C22×C7911yescharacteristic
1064#386C22×C7911yescharacteristic
1065#386C22×C7911yescharacteristic
1066#386C22×C7911yescharacteristic, complemented
1067#386C22×C7911yescharacteristic, complemented
1068#386C22×C7911yescharacteristic, complemented
1069#386C22×C7911yescharacteristic, complemented
1070#386C22×C7911yescharacteristic, complemented
1071#386C22×C7911yescharacteristic, complemented
1072#386C22×C7911yescharacteristic, complemented
1073#385C22×C7911yescharacteristic
1074#385C22×C7911yescharacteristic
1075#385C22×C7911yescharacteristic
1076#385C22×C7911yescharacteristic
1077#385C22×C7911yescharacteristic, complemented
1078#385C22×C7911yescharacteristic, complemented
1079#385C22×C7911yescharacteristic, complemented
1080#385C22×C7911yescharacteristic, complemented
1081#385C22×C7911yescharacteristic, complemented
1082#385C22×C7911yescharacteristic, complemented
1083#383C22×C7911yescharacteristic, complemented
1084#382C22×C7911yescharacteristic, complemented
1085#381C22×C7911yescharacteristic
1086#381C22×C7911yescharacteristic
1087#380C22×C7911yescharacteristic
1088#380C22×C7911yescharacteristic
1089#380C22×C7911yescharacteristic
1090#380C22×C7911yescharacteristic, complemented
1091#380C22×C7911yescharacteristic, complemented
1092#379C22×C7911yescharacteristic
1093C4×C22⋊C4C22×C7911yescharacteristic, complemented
1094C2×#95C22×C7911yescharacteristic, complemented
1095C25C23×C7911yescharacteristic
1096C2×#41—24no—
1097C2×#41—42no—
1098C2×#41—42no—
1099C22×Q8C23×C7911yescharacteristic
1100C22×D4C23×C7911yescharacteristic
1101C22×D4C23×C7911yescharacteristic
1102C22×D4C23×C7911yescharacteristic
1103C22×D4C23×C7911yescharacteristic
1104C22×D4C23×C7911yescharacteristic
1105C22×D4C23×C7911yescharacteristic
1106C22×D4C23×C7911yescharacteristic
1107C22×D4C23×C7911yescharacteristic
1108C22×D4C23×C7911yescharacteristic
1109C22×D4C23×C7911yescharacteristic
1110C22×D4C23×C7911yescharacteristic
1111C22×D4C23×C7911yescharacteristic
1112C22×D4C23×C7911yescharacteristic
1113C22×D4C23×C7911yescharacteristic
1114C22×D4C23×C7911yescharacteristic
1115C22×D4C23×C7911yescharacteristic
1116C22×D4C23×C7911yescharacteristic
1117C22×D4C23×C7911yescharacteristic
1118C22×D4C23×C7911yescharacteristic
1119C22×D4C23×C7911yescharacteristic
1120C22×D4C23×C7911yescharacteristic
1121C22×D4C23×C7911yescharacteristic
1122C22×D4C23×C7911yescharacteristic
1123C22×D4C23×C7911yescharacteristic
1124C22×D4C23×C7911yescharacteristic
1125C23×C4—24no—
1126C23×C4—42no—
1127C23×C4—42no—
1128C23×C4C23×C7911yescharacteristic
1129C23×C4C23×C7911yescharacteristic
1130C23×C4C23×C7911yescharacteristic
1131C23×C4C23×C7911yescharacteristic
1132C23×C4C23×C7911yescharacteristic
1133C23×C4C23×C7911yescharacteristic
1134C23×C4C23×C7911yescharacteristic
1135C23×C4C23×C7911yescharacteristic
1136C23×C4C23×C7911yescharacteristic
1137C23×C4C23×C7911yescharacteristic
1138C23×C4C23×C7911yescharacteristic
1139C23×C4C23×C7911yescharacteristic
1140C23×C4C23×C7911yescharacteristic
1141#127—24no—
1142#127—42no—
1143#125—24no—
1144#124—42no—
1145#123—24no—
1146#123—24no—
1147#123—24no—
1148#123—24no—
1149#123—24no—
1150#123—24no—
1151#123—42no—
1152C22⋊Q8—24no—
1153C22⋊Q8—24no—
1154#121—24no—
1155#121—24no—
1156#121—24no—
1157#121—24no—
1158#121—24no—
1159#121—24no—
1160#121—24no—
1161#121—24no—
1162#121—42no—
1163#121—42no—
1164#121—42no—
1165#121—42no—
1166#121—42no—
1167#121—42no—
1168#121—42no—
1169#121—42no—
1170#120—24no—
1171#120—24no—
1172#120—42no—
1173#120—42no—
1174#120—42no—
1175C4×D4—24no—
1176C4×D4—24no—
1177C4×D4—24no—
1178C4×D4—24no—
1179C4×D4D4×C7918yescomplemented
1180#117—24no—
1181#117—24no—
1182C2×C4⋊C4C23×C7911yescharacteristic
1183C2×C4⋊C4C23×C7911yescharacteristic
1184C2×C4⋊C4C23×C7911yescharacteristic
1185C2×C4⋊C4C23×C7911yescharacteristic
1186C2×C4⋊C4C23×C7911yescharacteristic
1187C2×C4⋊C4C23×C7911yescharacteristic
1188C2×C4⋊C4C23×C7911yescharacteristic
1189C2×C4⋊C4C23×C7911yescharacteristic
1190C2×C4⋊C4C23×C7911yescharacteristic
1191C2×C4⋊C4C23×C7911yescharacteristic
1192C2×C4⋊C4C23×C7911yescharacteristic
1193C2×C4⋊C4C23×C7911yescharacteristic
1194C2×C4⋊C4C23×C7911yescharacteristic
1195C2×C4⋊C4C23×C7911yescharacteristic
1196C2×C4⋊C4C23×C7911yescharacteristic
1197C2×C4⋊C4C23×C7911yescharacteristic
1198C2×C4⋊C4C23×C7911yescharacteristic
1199C2×C4⋊C4C23×C7911yescharacteristic
1200C2×C4⋊C4C23×C7911yescharacteristic
1201C2×C4⋊C4C23×C7911yescharacteristic
1202C2×C4⋊C4C23×C7911yescharacteristic
1203C2×C4⋊C4C23×C7911yescharacteristic
1204C2×C4⋊C4C23×C7911yescharacteristic
1205C2×C4⋊C4C23×C7911yescharacteristic
1206C2×C22⋊C4C23×C7911yescharacteristic
1207C2×C22⋊C4C23×C7911yescharacteristic
1208C2×C22⋊C4C23×C7911yescharacteristic
1209C2×C22⋊C4C23×C7911yescharacteristic
1210C2×C22⋊C4C23×C7911yescharacteristic
1211C2×C22⋊C4C23×C7911yescharacteristic
1212C2×C22⋊C4C23×C7911yescharacteristic
1213C2×C22⋊C4C23×C7911yescharacteristic
1214C2×C22⋊C4C23×C7911yescharacteristic
1215C2×C22⋊C4C23×C7911yescharacteristic
1216C2×C22⋊C4C23×C7911yescharacteristic
1217C2×C22⋊C4C23×C7911yescharacteristic
1218C2×C22⋊C4C23×C7911yescharacteristic
1219C2×C22⋊C4C23×C7911yescharacteristic
1220C2×C22⋊C4C23×C7911yescharacteristic
1221C2×C22⋊C4C23×C7911yescharacteristic
1222C2×C22⋊C4C23×C7911yescharacteristic
1223C2×C22⋊C4C23×C7911yescharacteristic
1224C2×C22⋊C4C23×C7911yescharacteristic
1225C2×C22⋊C4C23×C7911yescharacteristic
1226C2×C22⋊C4C23×C7911yescharacteristic
1227C2×C22⋊C4C23×C7911yescharacteristic
1228C2×C22⋊C4C23×C7911yescharacteristic
1229C2×C22⋊C4C23×C7911yescharacteristic
1230C2×C22⋊C4C23×C7911yescharacteristic
1231C2×C22⋊C4C23×C7911yescharacteristic
1232C2×C22⋊C4C23×C7911yescharacteristic
1233C2×C22⋊C4C23×C7911yescharacteristic
1234C2×C22⋊C4C23×C7911yescharacteristic
1235C2×C22⋊C4C23×C7911yescharacteristic
1236C2×C22⋊C4C23×C7911yescharacteristic
1237C2×C22⋊C4C23×C7911yescharacteristic
1238C2×C22⋊C4C23×C7911yescharacteristic
1239C2×C22⋊C4C23×C7911yescharacteristic
1240C2×C22⋊C4C23×C7911yescharacteristic
1241C2×C22⋊C4C23×C7911yescharacteristic
1242C2×C22⋊C4C23×C7911yescharacteristic
1243C2×C22⋊C4C23×C7911yescharacteristic
1244C2×C22⋊C4C23×C7911yescharacteristic
1245C2×C22⋊C4C23×C7911yescharacteristic
1246C2×C22⋊C4C23×C7911yescharacteristic
1247C2×C22⋊C4C23×C7911yescharacteristic
1248C2×C22⋊C4C23×C7911yescharacteristic
1249C2×C22⋊C4C23×C7911yescharacteristic
1250C2×C22⋊C4C23×C7911yescharacteristic
1251C2×C22⋊C4C23×C7911yescharacteristic
1252C2×C22⋊C4C23×C7911yescharacteristic
1253C2×C22⋊C4C23×C7911yescharacteristic
1254C2×C22⋊C4C23×C7911yescharacteristic
1255C2×C22⋊C4C23×C7911yescharacteristic
1256C2×C22⋊C4C23×C7911yescharacteristic
1257C2×C22⋊C4C23×C7911yescharacteristic
1258C2×C22⋊C4C23×C7911yescharacteristic
1259C2×C22⋊C4C23×C7911yescharacteristic
1260C2×C42C23×C7911yescharacteristic
1261C2×C42C23×C7911yescharacteristic
1262C2×C42C23×C7911yescharacteristic
1263C2×C42C23×C7911yescharacteristic
1264C2×C42C23×C7911yescharacteristic
1265#95C23×C7911yescharacteristic
1266#95C23×C7911yescharacteristic
1267#95C23×C7911yescharacteristic
1268#95C23×C7911yescharacteristic
1269#95C23×C7911yescharacteristic
1270#95C23×C7911yescharacteristic
1271#95C23×C7911yescharacteristic
1272#95C23×C7911yescharacteristic
1273#95C23×C7911yescharacteristic
1274#95C23×C7911yescharacteristic
1275#95C23×C7911yescharacteristic
1276#95C23×C7911yescharacteristic
1277#95C23×C7911yescharacteristic
1278#95C23×C7911yescharacteristic
1279#95C23×C7911yescharacteristic
1280#95C23×C7911yescharacteristic
1281#95C23×C7911yescharacteristic
1282#95C23×C7911yescharacteristic
1283#95C23×C7911yescharacteristic
1284#95C23×C7911yescharacteristic
1285#95C23×C7911yescharacteristic
1286#95C23×C7911yescharacteristic
1287#95C23×C7911yescharacteristic
1288#95C23×C7911yescharacteristic
1289#95C23×C7911yescharacteristic
1290#95C23×C7911yescharacteristic
1291#95C23×C7911yescharacteristic
1292#95C23×C7911yescharacteristic
1293#95C23×C7911yescharacteristic
1294#95C23×C7911yescharacteristic
1295#95C23×C7911yescharacteristic
1296#95C23×C7911yescharacteristic
1297C24—22no—
1298C24—22no—
1299C24—22no—
1300C24—41no—
1301C24—41no—
1302C24—41no—
1303C24—41no—
1304C24C24×C7911yescharacteristic
1305C24C24×C7911yescharacteristic
1306C24C24×C7911yescharacteristic
1307C24C24×C7911yescharacteristic
1308C24C24×C7911yescharacteristic
1309C24C24×C7911yescharacteristic
1310C24C24×C7911yescharacteristic
1311C24C24×C7911yescharacteristic
1312#41—416no—
1313C2×Q8—22no—
1314C2×Q8—22no—
1315C2×Q8—41no—
1316C2×D4—22no—
1317C2×D4—22no—
1318C2×D4—22no—
1319C2×D4—22no—
1320C2×D4—22no—
1321C2×D4—22no—
1322C2×D4—22no—
1323C2×D4—22no—
1324C2×D4—22no—
1325C2×D4—22no—
1326C2×D4—22no—
1327C2×D4—22no—
1328C2×D4—22no—
1329C2×D4—22no—
1330C2×D4—22no—
1331C2×D4—22no—
1332C2×D4—22no—
1333C2×D4—22no—
1334C2×D4—22no—
1335C2×D4—22no—
1336C2×D4—22no—
1337C2×D4—22no—
1338C2×D4—22no—
1339C2×D4—22no—
1340C2×D4—22no—
1341C2×D4—22no—
1342C2×D4—41no—
1343C2×D4—41no—
1344C2×D4—41no—
1345C2×D4—41no—
1346C2×D4—41no—
1347C2×D4—41no—
1348C2×D4—41no—
1349C2×D4—41no—
1350C2×D4—41no—
1351C2×D4—41no—
1352C2×D4—41no—
1353C2×D4—41no—
1354C2×D4—41no—
1355C2×D4—41no—
1356C2×D4—41no—
1357C2×D4—41no—
1358C2×D4—41no—
1359C2×D4—41no—
1360C2×D4—41no—
1361C2×D4—41no—
1362C2×D4—41no—
1363C2×D4—41no—
1364C2×D4—41no—
1365C2×D4—41no—
1366C2×D4—41no—
1367C2×D4—41no—
1368C2×D4—41no—
1369C2×D4—41no—
1370C2×D4—41no—
1371C2×D4—41no—
1372C2×D4—41no—
1373C2×D4—41no—
1374C2×D4—41no—
1375C2×D4—41no—
1376C2×D4—41no—
1377C2×D4—41no—
1378C2×D4—41no—
1379C2×D4—41no—
1380C2×D4—41no—
1381C2×D4—41no—
1382C2×D4—41no—
1383C2×D4—41no—
1384C2×D4—41no—
1385C2×D4—41no—
1386C2×D4—41no—
1387C2×D4—41no—
1388C2×D4—41no—
1389C2×D4—41no—
1390C2×D4C2×D4×C7914yes—
1391C22×C4—22no—
1392C22×C4—22no—
1393C22×C4—22no—
1394C22×C4—22no—
1395C22×C4—22no—
1396C22×C4—22no—
1397C22×C4—22no—
1398C22×C4—22no—
1399C22×C4—22no—
1400C22×C4—22no—
1401C22×C4—22no—
1402C22×C4—22no—
1403C22×C4—22no—
1404C22×C4—22no—
1405C22×C4—41no—
1406C22×C4—41no—
1407C22×C4—41no—
1408C22×C4—41no—
1409C22×C4—41no—
1410C22×C4—41no—
1411C22×C4—41no—
1412C22×C4—41no—
1413C22×C4—41no—
1414C22×C4—41no—
1415C22×C4—41no—
1416C22×C4—41no—
1417C22×C4—41no—
1418C22×C4—41no—
1419C22×C4—41no—
1420C22×C4—41no—
1421C22×C4—41no—
1422C22×C4—41no—
1423C22×C4—41no—
1424C22×C4—41no—
1425C22×C4—41no—
1426C22×C4—41no—
1427C22×C4—41no—
1428C22×C4—416no—
1429C22×C4C2×D4×C7914yes—
1430C22×C4C2×D4×C7914yes—
1431C22×C4C24×C7911yescharacteristic
1432C22×C4C24×C7911yescharacteristic
1433C22×C4C24×C7911yescharacteristic
1434C22×C4C24×C7911yescharacteristic
1435C22×C4C24×C7911yescharacteristic
1436C22×C4C24×C7911yescharacteristic
1437C22×C4C24×C7911yescharacteristic
1438C22×C4C24×C7911yescharacteristic
1439C22×C4C24×C7911yescharacteristic
1440C22×C4C24×C7911yescharacteristic
1441C22×C4C24×C7911yescharacteristic
1442C22×C4C24×C7911yescharacteristic
1443C22×C4C24×C7911yescharacteristic
1444C22×C4C24×C7911yescharacteristic
1445C22×C4C24×C7911yescharacteristic
1446C22×C4C24×C7911yescharacteristic
1447C22×C4C24×C7911yescharacteristic
1448C22×C4C24×C7911yescharacteristic
1449C22×C4C24×C7911yescharacteristic
1450C22×C4C24×C7911yescharacteristic
1451C22×C4C24×C7911yescharacteristic
1452C22×C4C24×C7911yescharacteristic
1453C22×C4C24×C7911yescharacteristic
1454C4⋊C4—22no—
1455C4⋊C4—22no—
1456C4⋊C4—22no—
1457C4⋊C4—22no—
1458C4⋊C4—22no—
1459C4⋊C4—22no—
1460C4⋊C4—22no—
1461C4⋊C4—22no—
1462C4⋊C4—22no—
1463C4⋊C4—22no—
1464C4⋊C4—22no—
1465C4⋊C4—22no—
1466C4⋊C4—22no—
1467C4⋊C4—41no—
1468C4⋊C4—41no—
1469C4⋊C4—41no—
1470C4⋊C4—41no—
1471C4⋊C4—41no—
1472C4⋊C4—41no—
1473C4⋊C4—41no—
1474C4⋊C4—41no—
1475C4⋊C4—41no—
1476C4⋊C4—41no—
1477C4⋊C4C2×D4×C7914yes—
1478C22⋊C4—22no—
1479C22⋊C4—22no—
1480C22⋊C4—22no—
1481C22⋊C4—22no—
1482C22⋊C4—22no—
1483C22⋊C4—22no—
1484C22⋊C4—22no—
1485C22⋊C4—22no—
1486C22⋊C4—22no—
1487C22⋊C4—22no—
1488C22⋊C4—22no—
1489C22⋊C4—22no—
1490C22⋊C4—22no—
1491C22⋊C4—22no—
1492C22⋊C4—22no—
1493C22⋊C4—22no—
1494C22⋊C4—22no—
1495C22⋊C4—22no—
1496C22⋊C4—22no—
1497C22⋊C4—22no—
1498C22⋊C4—22no—
1499C22⋊C4—22no—
1500C22⋊C4—22no—
1501C22⋊C4—41no—
1502C22⋊C4—41no—
1503C22⋊C4—41no—
1504C22⋊C4—41no—
1505C22⋊C4—41no—
1506C22⋊C4—41no—
1507C22⋊C4—41no—
1508C22⋊C4—41no—
1509C22⋊C4—41no—
1510C22⋊C4—41no—
1511C22⋊C4—41no—
1512C22⋊C4—41no—
1513C22⋊C4—41no—
1514C22⋊C4—41no—
1515C22⋊C4—41no—
1516C22⋊C4—41no—
1517C22⋊C4—41no—
1518C22⋊C4—41no—
1519C22⋊C4—41no—
1520C22⋊C4—41no—
1521C22⋊C4—41no—
1522C22⋊C4—41no—
1523C22⋊C4—41no—
1524C22⋊C4—41no—
1525C22⋊C4—41no—
1526C22⋊C4—41no—
1527C22⋊C4—41no—
1528C22⋊C4—41no—
1529C22⋊C4—41no—
1530C22⋊C4C2×D4×C7914yes—
1531C22⋊C4C2×D4×C7914yes—
1532C42—22no—
1533C42—22no—
1534C42—41no—
1535C42—41no—
1536C42C2×D4×C7914yes—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—21no—
1570C23—21no—
1571C23—21no—
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—21no—
1578C23—21no—
1579C23—21no—
1580C23—21no—
1581C23—21no—
1582C23—21no—
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—21no—
1589C23—44no—
1590C23—44no—
1591C23—44no—
1592C23—44no—
1593C23—44no—
1594C23—44no—
1595C23—44no—
1596C23C22×D4×C7912yes—
1597C23C22×D4×C7912yes—
1598C23H(5,𝔽2)×C7912yes—
1599C23H(5,𝔽2)×C7912yes—
1600C23C25×C7911yescharacteristic
1601Q8—44no—
1602D4—44no—
1603D4—44no—
1604D4—44no—
1605D4—44no—
1606D4—44no—
1607D4—44no—
1608D4—44no—
1609D4—44no—
1610D4—82no—
1611D4—82no—
1612D4—82no—
1613D4—82no—
1614D4—82no—
1615D4—82no—
1616D4—82no—
1617D4—82no—
1618D4—82no—
1619D4—82no—
1620D4—82no—
1621D4—82no—
1622D4—82no—
1623D4—82no—
1624D4—82no—
1625D4—82no—
1626D4—82no—
1627C2×C4—28no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—44no—
1692C2×C4—44no—
1693C2×C4—44no—
1694C2×C4—44no—
1695C2×C4—44no—
1696C2×C4—44no—
1697C2×C4—44no—
1698C2×C4—44no—
1699C2×C4—82no—
1700C2×C4—82no—
1701C2×C4—82no—
1702C2×C4—82no—
1703C2×C4C22×D4×C7912yes—
1704C2×C4C22×D4×C7912yes—
1705C2×C4C22×D4×C7912yes—
1706C2×C4C22×D4×C7912yes—
1707C2×C4C22×D4×C7912yes—
1708C2×C4H(5,𝔽2)×C7912yes—
1709C22—22no—
1710C22—22no—
1711C22—22no—
1712C22—22no—
1713C22—22no—
1714C22—22no—
1715C22—22no—
1716C22—22no—
1717C22—22no—
1718C22—22no—
1719C22—22no—
1720C22—22no—
1721C22—416no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—41no—
1751C22—41no—
1752C22—41no—
1753C22—41no—
1754C22—41no—
1755C22—41no—
1756C22—41no—
1757C22—41no—
1758C22—41no—
1759C22—41no—
1760C22—41no—
1761C22—41no—
1762C22—41no—
1763C22—41no—
1764C22—41no—
1765C22—41no—
1766C22C23×D4×C7911yescharacteristic
1767C22C2×H(5,𝔽2)×C7911yescharacteristic
1768C22C2×H(5,𝔽2)×C7911yescharacteristic
1769C22C2×H(5,𝔽2)×C7911yescharacteristic
1770C22#585×C7911yescharacteristic
1771C22#585×C7911yescharacteristic
1772C22#585×C7911yescharacteristic
1773C4—22no—
1774C4—22no—
1775C4—22no—
1776C4—22no—
1777C4—22no—
1778C4—22no—
1779C4—41no—
1780C4—41no—
1781C4—41no—
1782C4—41no—
1783C4—41no—
1784C4—41no—
1785C4—41no—
1786C4—41no—
1787C4—41no—
1788C4—41no—
1789C4—41no—
1790C4—41no—
1791C4—41no—
1792C4—41no—
1793C4—41no—
1794C4—41no—
1795C4—41no—
1796C2—42no—
1797C2—42no—
1798C2—42no—
1799C2—42no—
1800C2—81no—
1801C2—81no—
1802C2—81no—
1803C2—81no—
1804C2C79×#344911yescharacteristic
1805C2C79×#348411yescharacteristic
1806C2C79×#348811yescharacteristic
1807C2C79×#353311yescharacteristic
1808C2C79×#353411yescharacteristic
1809C2C79×#353911yescharacteristic
1810C2C79×#354211yescharacteristic
subgroupG/H
center, socleC23×C79C25
commutator, Frattini, cosocleC23C25×C79
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C79 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×#540×C79C2semidirect
2. C2×#525×C79C2semidirect
3. C79×#2849C2semidirect
4. C79×#2847C2semidirect
5. C79×#2694C2semidirect
6. C79×#2693C2semidirect
7. C79×#2690C2semidirect
8. C79×#2688C2semidirect
9. C79×#2687C2semidirect
10. C79×#2678C2semidirect
11. C79×#2676C2semidirect
12. C79×#2675C2semidirect
13. C79×#2673C2semidirect
14. C79×#2673C2semidirect
15. C79×#2672C2semidirect
16. C79×#2671C2semidirect
17. C79×#2671C2semidirect
18. C79×#2669C2semidirect
19. C79×#2669C2semidirect
20. C79×#2668C2semidirect
21. C79×#2635C2semidirect
22. C79×#2630C2semidirect
23. C79×#2609C2semidirect
24. C79×#2602C2semidirect
25. C79×#2598C2semidirect
26. C79×#2598C2semidirect
27. C79×#2543C2semidirect
28. C79×#2535C2semidirect
29. C79×#2431C2semidirect
30. C79×#2430C2semidirect
31. C79×#2318C2semidirect
37. C2×#125×C79C22semidirect
38. C2×#124×C79C22semidirect
45. C2×#123×C79C22semidirect
46. C2×#123×C79C22semidirect
61. C2×#121×C79C22semidirect
62. C2×#121×C79C22semidirect
63. C2×#121×C79C22semidirect
64. C2×#121×C79C22semidirect
74. C2×C4×D4×C79C22semidirect
76. C2×#117×C79C22semidirect
77. #400×C79C22semidirect
78. #400×C79C22semidirect
79. #400×C79C22semidirect
81. #399×C79C22semidirect
82. #399×C79C22semidirect
83. #398×C79C22semidirect
84. #398×C79C22semidirect
85. #398×C79C22semidirect
89. #397×C79C22semidirect
90. #397×C79C22semidirect
92. #396×C79C22semidirect
93. #396×C79C22semidirect
94. #396×C79C22semidirect
95. #395×C79C22semidirect
104. #394×C79C22semidirect
105. #394×C79C22semidirect
106. #394×C79C22semidirect
107. #394×C79C22semidirect
108. #394×C79C22semidirect
109. #393×C79C22semidirect
121. #392×C79C22semidirect
122. #392×C79C22semidirect
123. #392×C79C22semidirect
124. #392×C79C22semidirect
125. #391×C79C22semidirect
128. #389×C79C22semidirect
134. #388×C79C22semidirect
135. #388×C79C22semidirect
136. #388×C79C22semidirect
137. #388×C79C22semidirect
138. #388×C79C22semidirect
139. #387×C79C22semidirect
140. #387×C79C22semidirect
141. #387×C79C22semidirect
142. #387×C79C22semidirect
160. #386×C79C22semidirect
161. #386×C79C22semidirect
162. #386×C79C22semidirect
163. #386×C79C22semidirect
164. #386×C79C22semidirect
165. #386×C79C22semidirect
166. #386×C79C22semidirect
171. #385×C79C22semidirect
172. #385×C79C22semidirect
173. #385×C79C22semidirect
174. #385×C79C22semidirect
175. #385×C79C22semidirect
176. #385×C79C22semidirect
177. #383×C79C22semidirect
178. #382×C79C22semidirect
184. #380×C79C22semidirect
185. #380×C79C22semidirect
187. C4×C22⋊C4×C79C22semidirect
188. C2×#95×C79C22semidirect
273. C4×D4×C79D4semidirect
890. #36713C79direct (N × H)
906. C2×#540C2×C79semidirect
907. C2×#525C2×C79semidirect
908. #2849C2×C79semidirect
909. #2847C2×C79semidirect
910. #2694C2×C79semidirect
911. #2693C2×C79semidirect
912. #2690C2×C79semidirect
913. #2688C2×C79semidirect
914. #2687C2×C79semidirect
915. #2678C2×C79semidirect
916. #2676C2×C79semidirect
917. #2675C2×C79semidirect
918. #2673C2×C79semidirect
919. #2673C2×C79semidirect
920. #2672C2×C79semidirect
921. #2671C2×C79semidirect
922. #2671C2×C79semidirect
923. #2669C2×C79semidirect
924. #2669C2×C79semidirect
925. #2668C2×C79semidirect
926. #2635C2×C79semidirect
927. #2630C2×C79semidirect
928. #2609C2×C79semidirect
929. #2602C2×C79semidirect
930. #2598C2×C79semidirect
931. #2598C2×C79semidirect
932. #2543C2×C79semidirect
933. #2535C2×C79semidirect
934. #2431C2×C79semidirect
935. #2430C2×C79semidirect
936. #2318C2×C79semidirect
937. C79#36713direct (N × H)
943. C2×#125C22×C79semidirect
944. C2×#124C22×C79semidirect
951. C2×#123C22×C79semidirect
952. C2×#123C22×C79semidirect
967. C2×#121C22×C79semidirect
968. C2×#121C22×C79semidirect
969. C2×#121C22×C79semidirect
970. C2×#121C22×C79semidirect
980. C2×C4×D4C22×C79semidirect
982. C2×#117C22×C79semidirect
983. #400C22×C79semidirect
984. #400C22×C79semidirect
985. #400C22×C79semidirect
987. #399C22×C79semidirect
988. #399C22×C79semidirect
989. #398C22×C79semidirect
990. #398C22×C79semidirect
991. #398C22×C79semidirect
995. #397C22×C79semidirect
996. #397C22×C79semidirect
998. #396C22×C79semidirect
999. #396C22×C79semidirect
1000. #396C22×C79semidirect
1001. #395C22×C79semidirect
1010. #394C22×C79semidirect
1011. #394C22×C79semidirect
1012. #394C22×C79semidirect
1013. #394C22×C79semidirect
1014. #394C22×C79semidirect
1015. #393C22×C79semidirect
1027. #392C22×C79semidirect
1028. #392C22×C79semidirect
1029. #392C22×C79semidirect
1030. #392C22×C79semidirect
1031. #391C22×C79semidirect
1034. #389C22×C79semidirect
1040. #388C22×C79semidirect
1041. #388C22×C79semidirect
1042. #388C22×C79semidirect
1043. #388C22×C79semidirect
1044. #388C22×C79semidirect
1045. #387C22×C79semidirect
1046. #387C22×C79semidirect
1047. #387C22×C79semidirect
1048. #387C22×C79semidirect
1066. #386C22×C79semidirect
1067. #386C22×C79semidirect
1068. #386C22×C79semidirect
1069. #386C22×C79semidirect
1070. #386C22×C79semidirect
1071. #386C22×C79semidirect
1072. #386C22×C79semidirect
1077. #385C22×C79semidirect
1078. #385C22×C79semidirect
1079. #385C22×C79semidirect
1080. #385C22×C79semidirect
1081. #385C22×C79semidirect
1082. #385C22×C79semidirect
1083. #383C22×C79semidirect
1084. #382C22×C79semidirect
1090. #380C22×C79semidirect
1091. #380C22×C79semidirect
1093. C4×C22⋊C4C22×C79semidirect
1094. C2×#95C22×C79semidirect
1179. C4×D4D4×C79semidirect

Maximal subgroups

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

subgroupindex
C2×#540×C792
C2×#525×C792
C79×#28492
C79×#28472
C79×#26942
C79×#26932
C79×#26902
C79×#26882
C79×#26872
C79×#26782
C79×#26762
C79×#26752
C79×#26732
C79×#26722
C79×#26712
C79×#26692
C79×#26682
C79×#26352
C79×#26302
C79×#26092
C79×#26022
C79×#25982
C79×#25432
C79×#25352
C79×#24312
C79×#24302
C79×#23182
#3671379