Finite Group Databasebeta

← C73×#36911 #32946315

Subgroups — C73×#36911 #32946315

Order 18688.

1906 conjugacy classes of subgroups.

The subgroup lattice has 1604 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C73×#2856C211yesmaximal, characteristic, complemented
2C73×#2853C211yesmaximal, characteristic, complemented
3C73×#2803C211yesmaximal, characteristic, complemented
4C73×#2792C211yesmaximal, characteristic, complemented
5C73×#2790C211yesmaximal, characteristic, complemented
6C73×#2780C211yesmaximal, characteristic, complemented
7C73×#2710C211yesmaximal, characteristic, complemented
8C73×#2709C211yesmaximal, characteristic, complemented
9C73×#2701C211yesmaximal, characteristic, complemented
10C73×#2692C211yesmaximal, characteristic, complemented
11C73×#2686C211yesmaximal, characteristic, complemented
12C73×#2682C211yesmaximal, characteristic, complemented
13C73×#2681C211yesmaximal, characteristic, complemented
14C73×#2676C211yesmaximal, characteristic, complemented
15C73×#2673C211yesmaximal, characteristic, complemented
16C73×#2672C211yesmaximal, characteristic, complemented
17C73×#2671C211yesmaximal, characteristic, complemented
18C73×#2671C211yesmaximal, characteristic, complemented
19C73×#2662C211yesmaximal, characteristic, complemented
20C73×#2651C211yesmaximal, characteristic, complemented
21C73×#2559C211yesmaximal, characteristic, complemented
22C73×#2555C211yesmaximal, characteristic, complemented
23C73×#2479C211yesmaximal, characteristic, complemented
24C73×#2476C211yesmaximal, characteristic, complemented
25C73×#2464C211yesmaximal, characteristic, complemented
26C73×#2461C211yesmaximal, characteristic, complemented
27C73×#2458C211yesmaximal, characteristic, complemented
28C73×#2426C211yesmaximal, characteristic, complemented
29C73×#2335C211yesmaximal, characteristic, complemented
30C73×#2324C211yesmaximal, characteristic, complemented
31C4×C22⋊Q8×C73C211yesmaximal, characteristic, complemented
32C2×#127×C73C2211yescharacteristic
33C2×#126×C73C2211yescharacteristic
34C2×#124×C73C2211yescharacteristic
35C2×#124×C73C2211yescharacteristic
36C2×#124×C73C2211yescharacteristic
37C2×#123×C73C2211yescharacteristic
38C2×#123×C73C2211yescharacteristic
39C2×#123×C73C2211yescharacteristic
40C2×#123×C73C2211yescharacteristic
41C2×#123×C73C2211yescharacteristic
42C2×C22⋊Q8×C73C2211yescharacteristic
43C2×C22⋊Q8×C73C2211yescharacteristic
44C2×C22⋊Q8×C73C2211yescharacteristic
45C2×#121×C73C2211yescharacteristic
46C2×#121×C73C2211yescharacteristic
47C2×#121×C73C2211yescharacteristic
48C2×#121×C73C2211yescharacteristic
49C2×#121×C73C2211yescharacteristic
50C2×#121×C73C2211yescharacteristic
51C2×#121×C73C2211yescharacteristic
52C2×#121×C73C2211yescharacteristic
53C2×#121×C73C2211yescharacteristic
54C2×#121×C73C2211yescharacteristic
55C2×C4×Q8×C73C2211yescharacteristic
56C2×C4×D4×C73C2211yescharacteristic
57C2×#117×C73C2211yescharacteristic
58C22×C42×C73C2211yescharacteristic
59#400×C73C2211yescharacteristic
60#399×C73C2211yescharacteristic
61#399×C73C2211yescharacteristic
62#399×C73C2211yescharacteristic
63#398×C73C2211yescharacteristic
64#398×C73C2211yescharacteristic
65#398×C73C2211yescharacteristic
66#398×C73C2211yescharacteristic
67#398×C73C2211yescharacteristic
68#398×C73C2211yescharacteristic
69#397×C73C2211yescharacteristic
70#397×C73C2211yescharacteristic
71#396×C73C2211yescharacteristic
72#396×C73C2211yescharacteristic
73#396×C73C2211yescharacteristic
74#396×C73C2211yescharacteristic
75#396×C73C2211yescharacteristic
76#396×C73C2211yescharacteristic
77#395×C73C2211yescharacteristic
78#395×C73C2211yescharacteristic
79#395×C73C2211yescharacteristic
80#394×C73C2211yescharacteristic
81#394×C73C2211yescharacteristic
82#394×C73C2211yescharacteristic
83#394×C73C2211yescharacteristic
84#394×C73C2211yescharacteristic
85#394×C73C2211yescharacteristic
86#394×C73C2211yescharacteristic
87#394×C73C2211yescharacteristic
88#394×C73C2211yescharacteristic
89#394×C73C2211yescharacteristic
90#394×C73C2211yescharacteristic
91#394×C73C2211yescharacteristic
92#394×C73C2211yescharacteristic
93#394×C73C2211yescharacteristic
94#394×C73C2211yescharacteristic
95#394×C73C2211yescharacteristic
96#394×C73C2211yescharacteristic
97#394×C73C2211yescharacteristic
98#393×C73C2211yescharacteristic
99#393×C73C2211yescharacteristic
100#393×C73C2211yescharacteristic
101#392×C73C2211yescharacteristic
102#392×C73C2211yescharacteristic
103#392×C73C2211yescharacteristic
104#392×C73C2211yescharacteristic
105#392×C73C2211yescharacteristic
106#392×C73C2211yescharacteristic
107#391×C73C2211yescharacteristic
108#390×C73C2211yescharacteristic
109#390×C73C2211yescharacteristic
110#390×C73C2211yescharacteristic
111#390×C73C2211yescharacteristic
112#390×C73C2211yescharacteristic
113#390×C73C2211yescharacteristic
114#390×C73C2211yescharacteristic
115#390×C73C2211yescharacteristic
116#390×C73C2211yescharacteristic
117#390×C73C2211yescharacteristic
118#390×C73C2211yescharacteristic
119#389×C73C2211yescharacteristic
120#389×C73C2211yescharacteristic
121#389×C73C2211yescharacteristic
122#389×C73C2211yescharacteristic
123#389×C73C2211yescharacteristic
124#389×C73C2211yescharacteristic
125#388×C73C2211yescharacteristic
126#388×C73C2211yescharacteristic
127#388×C73C2211yescharacteristic
128#388×C73C2211yescharacteristic
129#388×C73C2211yescharacteristic
130#388×C73C2211yescharacteristic
131#388×C73C2211yescharacteristic
132#388×C73C2211yescharacteristic
133#388×C73C2211yescharacteristic
134#388×C73C2211yescharacteristic
135#388×C73C2211yescharacteristic
136#388×C73C2211yescharacteristic
137#388×C73C2211yescharacteristic
138#388×C73C2211yescharacteristic
139#388×C73C2211yescharacteristic
140#388×C73C2211yescharacteristic
141#388×C73C2211yescharacteristic
142#387×C73C2211yescharacteristic
143#387×C73C2211yescharacteristic
144#387×C73C2211yescharacteristic
145#387×C73C2211yescharacteristic
146#387×C73C2211yescharacteristic
147#387×C73C2211yescharacteristic
148#387×C73C2211yescharacteristic
149#387×C73C2211yescharacteristic
150#387×C73C2211yescharacteristic
151#386×C73C2211yescharacteristic
152#386×C73C2211yescharacteristic
153#386×C73C2211yescharacteristic
154#386×C73C2211yescharacteristic
155#386×C73C2211yescharacteristic
156#386×C73C2211yescharacteristic
157#386×C73C2211yescharacteristic
158#386×C73C2211yescharacteristic
159#386×C73C2211yescharacteristic
160#386×C73C2211yescharacteristic
161#386×C73C2211yescharacteristic
162#386×C73C2211yescharacteristic
163#386×C73C2211yescharacteristic
164#385×C73C2211yescharacteristic
165#385×C73C2211yescharacteristic
166#385×C73C2211yescharacteristic
167#385×C73C2211yescharacteristic
168#385×C73C2211yescharacteristic
169#385×C73C2211yescharacteristic
170#385×C73C2211yescharacteristic
171#385×C73C2211yescharacteristic
172#385×C73C2211yescharacteristic
173#385×C73C2211yescharacteristic
174#385×C73C2211yescharacteristic
175#384×C73C2211yescharacteristic
176#381×C73C2211yescharacteristic
177#380×C73C2211yescharacteristic
178#380×C73C2211yescharacteristic
179#380×C73C2211yescharacteristic
180C4×C4⋊C4×C73C2211yescharacteristic
181C4×C4⋊C4×C73C2211yescharacteristic
182C4×C4⋊C4×C73C2211yescharacteristic
183C4×C22⋊C4×C73C2211yescharacteristic
184C4×C22⋊C4×C73C2211yescharacteristic
185C4×C22⋊C4×C73C2211yescharacteristic
186C4×C22⋊C4×C73C2211yescharacteristic
187C22×Q8×C73C2311yescharacteristic
188C22×Q8×C73C2311yescharacteristic
189C22×D4×C73C2311yescharacteristic
190C22×D4×C73C2311yescharacteristic
191C22×D4×C73C2311yescharacteristic
192C22×D4×C73C2311yescharacteristic
193C22×D4×C73C2311yescharacteristic
194C22×D4×C73C2311yescharacteristic
195C22×D4×C73C2311yescharacteristic
196C22×D4×C73C2311yescharacteristic
197C22×D4×C73C2311yescharacteristic
198C22×D4×C73C2311yescharacteristic
199C22×D4×C73C2311yescharacteristic
200C22×D4×C73C2311yescharacteristic
201C22×D4×C73C2311yescharacteristic
202C22×D4×C73C2311yescharacteristic
203C22×D4×C73C2311yescharacteristic
204C23×C4×C73C2311yescharacteristic
205C23×C4×C73C2311yescharacteristic
206C23×C4×C73C2311yescharacteristic
207C23×C4×C73C2311yescharacteristic
208C23×C4×C73C2311yescharacteristic
209C23×C4×C73C2311yescharacteristic
210C23×C4×C73C2311yescharacteristic
211C23×C4×C73C2311yescharacteristic
212#127×C73—42no—
213#126×C73—42no—
214#124×C73—42no—
215#124×C73—42no—
216#124×C73—42no—
217#123×C73—24no—
218#123×C73—42no—
219#123×C73—42no—
220#123×C73—42no—
221#123×C73—42no—
222C22⋊Q8×C73—24no—
223C22⋊Q8×C73—42no—
224C22⋊Q8×C73—42no—
225#121×C73—24no—
226#121×C73—42no—
227#121×C73—42no—
228#121×C73—42no—
229#121×C73—42no—
230#121×C73—42no—
231#121×C73—42no—
232#121×C73—42no—
233#121×C73—42no—
234#121×C73—42no—
235C4×Q8×C73—42no—
236C4×D4×C73—42no—
237#117×C73—42no—
238C2×C4⋊C4×C73C2311yescharacteristic
239C2×C4⋊C4×C73C2311yescharacteristic
240C2×C4⋊C4×C73C2311yescharacteristic
241C2×C4⋊C4×C73C2311yescharacteristic
242C2×C4⋊C4×C73C2311yescharacteristic
243C2×C4⋊C4×C73C2311yescharacteristic
244C2×C4⋊C4×C73C2311yescharacteristic
245C2×C4⋊C4×C73C2311yescharacteristic
246C2×C4⋊C4×C73C2311yescharacteristic
247C2×C4⋊C4×C73C2311yescharacteristic
248C2×C4⋊C4×C73C2311yescharacteristic
249C2×C4⋊C4×C73C2311yescharacteristic
250C2×C4⋊C4×C73C2311yescharacteristic
251C2×C4⋊C4×C73C2311yescharacteristic
252C2×C4⋊C4×C73C2311yescharacteristic
253C2×C4⋊C4×C73C2311yescharacteristic
254C2×C4⋊C4×C73C2311yescharacteristic
255C2×C4⋊C4×C73C2311yescharacteristic
256C2×C4⋊C4×C73C2311yescharacteristic
257C2×C4⋊C4×C73C2311yescharacteristic
258C2×C4⋊C4×C73C2311yescharacteristic
259C2×C4⋊C4×C73C2311yescharacteristic
260C2×C4⋊C4×C73C2311yescharacteristic
261C2×C4⋊C4×C73C2311yescharacteristic
262C2×C4⋊C4×C73C2311yescharacteristic
263C2×C4⋊C4×C73C2311yescharacteristic
264C2×C4⋊C4×C73C2311yescharacteristic
265C2×C4⋊C4×C73C2311yescharacteristic
266C2×C4⋊C4×C73C2311yescharacteristic
267C2×C4⋊C4×C73C2311yescharacteristic
268C2×C4⋊C4×C73C2311yescharacteristic
269C2×C4⋊C4×C73C2311yescharacteristic
270C2×C4⋊C4×C73C2311yescharacteristic
271C2×C22⋊C4×C73C2311yescharacteristic
272C2×C22⋊C4×C73C2311yescharacteristic
273C2×C22⋊C4×C73C2311yescharacteristic
274C2×C22⋊C4×C73C2311yescharacteristic
275C2×C22⋊C4×C73C2311yescharacteristic
276C2×C22⋊C4×C73C2311yescharacteristic
277C2×C22⋊C4×C73C2311yescharacteristic
278C2×C22⋊C4×C73C2311yescharacteristic
279C2×C22⋊C4×C73C2311yescharacteristic
280C2×C22⋊C4×C73C2311yescharacteristic
281C2×C22⋊C4×C73C2311yescharacteristic
282C2×C22⋊C4×C73C2311yescharacteristic
283C2×C22⋊C4×C73C2311yescharacteristic
284C2×C22⋊C4×C73C2311yescharacteristic
285C2×C22⋊C4×C73C2311yescharacteristic
286C2×C22⋊C4×C73C2311yescharacteristic
287C2×C22⋊C4×C73C2311yescharacteristic
288C2×C22⋊C4×C73C2311yescharacteristic
289C2×C22⋊C4×C73C2311yescharacteristic
290C2×C22⋊C4×C73C2311yescharacteristic
291C2×C22⋊C4×C73C2311yescharacteristic
292C2×C22⋊C4×C73C2311yescharacteristic
293C2×C22⋊C4×C73C2311yescharacteristic
294C2×C22⋊C4×C73C2311yescharacteristic
295C2×C22⋊C4×C73C2311yescharacteristic
296C2×C22⋊C4×C73C2311yescharacteristic
297C2×C22⋊C4×C73C2311yescharacteristic
298C2×C22⋊C4×C73C2311yescharacteristic
299C2×C22⋊C4×C73C2311yescharacteristic
300C2×C22⋊C4×C73C2311yescharacteristic
301C2×C22⋊C4×C73C2311yescharacteristic
302C2×C22⋊C4×C73C2311yescharacteristic
303C2×C22⋊C4×C73C2311yescharacteristic
304C2×C22⋊C4×C73C2311yescharacteristic
305C2×C22⋊C4×C73C2311yescharacteristic
306C2×C22⋊C4×C73C2311yescharacteristic
307C2×C22⋊C4×C73C2311yescharacteristic
308C2×C22⋊C4×C73C2311yescharacteristic
309C2×C22⋊C4×C73C2311yescharacteristic
310C2×C22⋊C4×C73C2311yescharacteristic
311C2×C22⋊C4×C73C2311yescharacteristic
312C2×C22⋊C4×C73C2311yescharacteristic
313C2×C22⋊C4×C73C2311yescharacteristic
314C2×C22⋊C4×C73C2311yescharacteristic
315C2×C22⋊C4×C73C2311yescharacteristic
316C2×C22⋊C4×C73C2311yescharacteristic
317C2×C22⋊C4×C73C2311yescharacteristic
318C2×C22⋊C4×C73C2311yescharacteristic
319C2×C22⋊C4×C73C2311yescharacteristic
320C2×C22⋊C4×C73C2311yescharacteristic
321C2×C22⋊C4×C73C2311yescharacteristic
322C2×C22⋊C4×C73C2311yescharacteristic
323C2×C42×C73—42no—
324C2×C42×C73C2311yescharacteristic
325C2×C42×C73C2311yescharacteristic
326C2×C42×C73C2311yescharacteristic
327C2×C42×C73C2311yescharacteristic
328C2×C42×C73C2311yescharacteristic
329C2×C42×C73C2311yescharacteristic
330C2×C42×C73C2311yescharacteristic
331C2×C42×C73C2311yescharacteristic
332C2×C42×C73C2311yescharacteristic
333C2×C42×C73C2311yescharacteristic
334C2×C42×C73C2311yescharacteristic
335#95×C73C2311yescharacteristic
336#95×C73C2311yescharacteristic
337#95×C73C2311yescharacteristic
338#95×C73C2311yescharacteristic
339#95×C73C2311yescharacteristic
340#95×C73C2311yescharacteristic
341#95×C73C2311yescharacteristic
342#95×C73C2311yescharacteristic
343#95×C73C2311yescharacteristic
344#95×C73C2311yescharacteristic
345#95×C73C2311yescharacteristic
346#95×C73C2311yescharacteristic
347#95×C73C2311yescharacteristic
348#95×C73C2311yescharacteristic
349#95×C73C2311yescharacteristic
350#95×C73C2311yescharacteristic
351#95×C73C2311yescharacteristic
352#95×C73C2311yescharacteristic
353#95×C73C2311yescharacteristic
354#95×C73C2311yescharacteristic
355#95×C73C2311yescharacteristic
356#95×C73C2311yescharacteristic
357#95×C73C2311yescharacteristic
358#95×C73C2311yescharacteristic
359#95×C73C2311yescharacteristic
360#95×C73C2311yescharacteristic
361#95×C73C2311yescharacteristic
362#95×C73C2311yescharacteristic
363#95×C73C2311yescharacteristic
364#95×C73C2311yescharacteristic
365#95×C73C2311yescharacteristic
366#95×C73C2311yescharacteristic
367#95×C73C2311yescharacteristic
368#95×C73C2311yescharacteristic
369C24×C73C2411yescharacteristic
370C24×C73C2411yescharacteristic
371C24×C73C2411yescharacteristic
372C24×C73C2411yescharacteristic
373C24×C73C2411yescharacteristic
374C24×C73C2411yescharacteristic
375C2×Q8×C73—22no—
376C2×Q8×C73—22no—
377C2×Q8×C73—41no—
378C2×Q8×C73—41no—
379C2×Q8×C73—41no—
380C2×Q8×C73—41no—
381C2×D4×C73—22no—
382C2×D4×C73—22no—
383C2×D4×C73—22no—
384C2×D4×C73—22no—
385C2×D4×C73—22no—
386C2×D4×C73—22no—
387C2×D4×C73—22no—
388C2×D4×C73—22no—
389C2×D4×C73—22no—
390C2×D4×C73—22no—
391C2×D4×C73—22no—
392C2×D4×C73—22no—
393C2×D4×C73—22no—
394C2×D4×C73—41no—
395C2×D4×C73—41no—
396C2×D4×C73—41no—
397C2×D4×C73—41no—
398C2×D4×C73—41no—
399C2×D4×C73—41no—
400C2×D4×C73—41no—
401C2×D4×C73—41no—
402C2×D4×C73—41no—
403C2×D4×C73—41no—
404C2×D4×C73—41no—
405C2×D4×C73—41no—
406C2×D4×C73—41no—
407C2×D4×C73—41no—
408C2×D4×C73—41no—
409C2×D4×C73—41no—
410C2×D4×C73—41no—
411C2×D4×C73—41no—
412C2×D4×C73—41no—
413C2×D4×C73—41no—
414C2×D4×C73—41no—
415C2×D4×C73—41no—
416C2×D4×C73—41no—
417C2×D4×C73—41no—
418C2×D4×C73—41no—
419C2×D4×C73—41no—
420C2×D4×C73—41no—
421C2×D4×C73—41no—
422C2×D4×C73—41no—
423C2×D4×C73—41no—
424C2×D4×C73—41no—
425C2×D4×C73—41no—
426C22×C4×C73—22no—
427C22×C4×C73—22no—
428C22×C4×C73—22no—
429C22×C4×C73—22no—
430C22×C4×C73—22no—
431C22×C4×C73—22no—
432C22×C4×C73—22no—
433C22×C4×C73—22no—
434C22×C4×C73—41no—
435C22×C4×C73—41no—
436C22×C4×C73—41no—
437C22×C4×C73—41no—
438C22×C4×C73—41no—
439C22×C4×C73—41no—
440C22×C4×C73—41no—
441C22×C4×C73—41no—
442C22×C4×C73—41no—
443C22×C4×C73—41no—
444C22×C4×C73—41no—
445C22×C4×C73—41no—
446C22×C4×C73—41no—
447C22×C4×C73—41no—
448C22×C4×C73—41no—
449C22×C4×C73—41no—
450C22×C4×C73C2411yescharacteristic
451C22×C4×C73C2411yescharacteristic
452C22×C4×C73C2411yescharacteristic
453C22×C4×C73C2411yescharacteristic
454C22×C4×C73C2411yescharacteristic
455C22×C4×C73C2411yescharacteristic
456C22×C4×C73C2411yescharacteristic
457C22×C4×C73C2411yescharacteristic
458C22×C4×C73C2411yescharacteristic
459C22×C4×C73C2411yescharacteristic
460C22×C4×C73C2411yescharacteristic
461C22×C4×C73C2411yescharacteristic
462C22×C4×C73C2411yescharacteristic
463C22×C4×C73C2411yescharacteristic
464C22×C4×C73C2411yescharacteristic
465C22×C4×C73C2411yescharacteristic
466C22×C4×C73C2411yescharacteristic
467C22×C4×C73C2411yescharacteristic
468C22×C4×C73C2411yescharacteristic
469C22×C4×C73C2411yescharacteristic
470C22×C4×C73C2411yescharacteristic
471C22×C4×C73C2411yescharacteristic
472C22×C4×C73C2411yescharacteristic
473C22×C4×C73C2411yescharacteristic
474C22×C4×C73C2411yescharacteristic
475C4⋊C4×C73—22no—
476C4⋊C4×C73—22no—
477C4⋊C4×C73—22no—
478C4⋊C4×C73—22no—
479C4⋊C4×C73—22no—
480C4⋊C4×C73—22no—
481C4⋊C4×C73—22no—
482C4⋊C4×C73—22no—
483C4⋊C4×C73—22no—
484C4⋊C4×C73—22no—
485C4⋊C4×C73—41no—
486C4⋊C4×C73—41no—
487C4⋊C4×C73—41no—
488C4⋊C4×C73—41no—
489C4⋊C4×C73—41no—
490C4⋊C4×C73—41no—
491C4⋊C4×C73—41no—
492C4⋊C4×C73—41no—
493C4⋊C4×C73—41no—
494C4⋊C4×C73—41no—
495C4⋊C4×C73—41no—
496C4⋊C4×C73—41no—
497C4⋊C4×C73—41no—
498C4⋊C4×C73—41no—
499C4⋊C4×C73—41no—
500C4⋊C4×C73—41no—
501C4⋊C4×C73—41no—
502C4⋊C4×C73—41no—
503C4⋊C4×C73—41no—
504C4⋊C4×C73—41no—
505C4⋊C4×C73—41no—
506C4⋊C4×C73—41no—
507C4⋊C4×C73#4114yes—
508C22⋊C4×C73—22no—
509C22⋊C4×C73—22no—
510C22⋊C4×C73—22no—
511C22⋊C4×C73—22no—
512C22⋊C4×C73—22no—
513C22⋊C4×C73—22no—
514C22⋊C4×C73—22no—
515C22⋊C4×C73—22no—
516C22⋊C4×C73—22no—
517C22⋊C4×C73—22no—
518C22⋊C4×C73—22no—
519C22⋊C4×C73—22no—
520C22⋊C4×C73—22no—
521C22⋊C4×C73—22no—
522C22⋊C4×C73—22no—
523C22⋊C4×C73—22no—
524C22⋊C4×C73—22no—
525C22⋊C4×C73—22no—
526C22⋊C4×C73—22no—
527C22⋊C4×C73—22no—
528C22⋊C4×C73—22no—
529C22⋊C4×C73—22no—
530C22⋊C4×C73—41no—
531C22⋊C4×C73—41no—
532C22⋊C4×C73—41no—
533C22⋊C4×C73—41no—
534C22⋊C4×C73—41no—
535C22⋊C4×C73—41no—
536C22⋊C4×C73—41no—
537C22⋊C4×C73—41no—
538C22⋊C4×C73—41no—
539C22⋊C4×C73—41no—
540C22⋊C4×C73—41no—
541C22⋊C4×C73—41no—
542C22⋊C4×C73—41no—
543C22⋊C4×C73—41no—
544C22⋊C4×C73—41no—
545C22⋊C4×C73—41no—
546C22⋊C4×C73—41no—
547C22⋊C4×C73—41no—
548C22⋊C4×C73—41no—
549C22⋊C4×C73—41no—
550C22⋊C4×C73—41no—
551C22⋊C4×C73—41no—
552C22⋊C4×C73—41no—
553C22⋊C4×C73—41no—
554C22⋊C4×C73—41no—
555C22⋊C4×C73—41no—
556C22⋊C4×C73—41no—
557C22⋊C4×C73—41no—
558C22⋊C4×C73—41no—
559C22⋊C4×C73—41no—
560C42×C73—22no—
561C42×C73—22no—
562C42×C73—22no—
563C42×C73—22no—
564C42×C73—41no—
565C42×C73—41no—
566C42×C73—41no—
567C42×C73—41no—
568C42×C73—41no—
569C42×C73—41no—
570C42×C73—41no—
571C23×C73—21no—
572C23×C73—21no—
573C23×C73—21no—
574C23×C73—21no—
575C23×C73—21no—
576C23×C73—21no—
577C23×C73—21no—
578C23×C73—21no—
579C23×C73—21no—
580C23×C73—21no—
581C23×C73—21no—
582C23×C73—21no—
583C23×C73—21no—
584C23×C73—21no—
585C23×C73—21no—
586C23×C73—21no—
587C23×C73—21no—
588C23×C73—21no—
589C23×C73—21no—
590C23×C73—21no—
591C23×C73—21no—
592C23×C73—21no—
593C23×C73—21no—
594C23×C73—21no—
595C23×C73—21no—
596C23×C73—21no—
597C23×C73—21no—
598C23×C73—21no—
599C23×C73—21no—
600C23×C73—21no—
601C23×C73—21no—
602C23×C73—21no—
603C23×C73—21no—
604C23×C73—21no—
605C23×C73—21no—
606C23×C73—21no—
607C23×C73—21no—
608C23×C73—21no—
609C23×C73—21no—
610C23×C73—21no—
611C23×C73—21no—
612C23×C73H(5,𝔽2)12yes—
613C23×C73C2511yescharacteristic
614Q8×C73—44no—
615Q8×C73—82no—
616D4×C73—44no—
617D4×C73—82no—
618D4×C73—82no—
619D4×C73—82no—
620D4×C73—82no—
621D4×C73—82no—
622D4×C73—82no—
623D4×C73—82no—
624D4×C73—82no—
625D4×C73—82no—
626D4×C73—82no—
627D4×C73—82no—
628D4×C73—82no—
629D4×C73—82no—
630D4×C73—82no—
631C2×C4×C73—21no—
632C2×C4×C73—21no—
633C2×C4×C73—21no—
634C2×C4×C73—21no—
635C2×C4×C73—21no—
636C2×C4×C73—21no—
637C2×C4×C73—21no—
638C2×C4×C73—21no—
639C2×C4×C73—21no—
640C2×C4×C73—21no—
641C2×C4×C73—21no—
642C2×C4×C73—21no—
643C2×C4×C73—21no—
644C2×C4×C73—21no—
645C2×C4×C73—21no—
646C2×C4×C73—21no—
647C2×C4×C73—21no—
648C2×C4×C73—21no—
649C2×C4×C73—21no—
650C2×C4×C73—21no—
651C2×C4×C73—21no—
652C2×C4×C73—21no—
653C2×C4×C73—21no—
654C2×C4×C73—21no—
655C2×C4×C73—21no—
656C2×C4×C73—21no—
657C2×C4×C73—21no—
658C2×C4×C73—21no—
659C2×C4×C73—21no—
660C2×C4×C73—21no—
661C2×C4×C73—21no—
662C2×C4×C73—21no—
663C2×C4×C73—21no—
664C2×C4×C73—21no—
665C2×C4×C73—21no—
666C2×C4×C73—21no—
667C2×C4×C73—21no—
668C2×C4×C73—21no—
669C2×C4×C73—21no—
670C2×C4×C73—21no—
671C2×C4×C73—21no—
672C2×C4×C73—21no—
673C2×C4×C73—21no—
674C2×C4×C73—21no—
675C2×C4×C73—21no—
676C2×C4×C73—21no—
677C2×C4×C73—21no—
678C2×C4×C73—21no—
679C2×C4×C73—21no—
680C2×C4×C73—21no—
681C2×C4×C73—21no—
682C2×C4×C73—21no—
683C2×C4×C73—21no—
684C2×C4×C73—21no—
685C2×C4×C73—21no—
686C2×C4×C73—21no—
687C2×C4×C73—21no—
688C2×C4×C73—21no—
689C2×C4×C73—21no—
690C2×C4×C73—21no—
691C2×C4×C73—21no—
692C2×C4×C73—21no—
693C2×C4×C73—21no—
694C2×C4×C73—21no—
695C2×C4×C73—21no—
696C2×C4×C73—21no—
697C2×C4×C73—21no—
698C2×C4×C73—21no—
699C2×C4×C73—44no—
700C2×C4×C73—44no—
701C2×C4×C73—44no—
702C2×C4×C73—44no—
703C2×C4×C73—82no—
704C2×C4×C73—82no—
705C2×C4×C73—82no—
706C2×C4×C73—82no—
707C2×C4×C73C2×#4112yes—
708C2×C4×C73C2×#4112yes—
709C2×C4×C73C2×#4112yes—
710C2×C4×C73H(5,𝔽2)12yes—
711C2×C4×C73H(5,𝔽2)12yes—
712C2×C4×C73H(5,𝔽2)12yes—
713C2×C4×C732−1+412yes—
714C22×C73—22no—
715C22×C73—22no—
716C22×C73—22no—
717C22×C73—41no—
718C22×C73—41no—
719C22×C73—41no—
720C22×C73—41no—
721C22×C73—41no—
722C22×C73—41no—
723C22×C73—41no—
724C22×C73—41no—
725C22×C73—41no—
726C22×C73—41no—
727C22×C73—41no—
728C22×C73—41no—
729C22×C73—41no—
730C22×C73—41no—
731C22×C73—41no—
732C22×C73—41no—
733C22×C73—41no—
734C22×C73—41no—
735C22×C73—41no—
736C22×C73—41no—
737C22×C73—41no—
738C22×C73—41no—
739C22×C73—41no—
740C22×C73—41no—
741C22×C73—41no—
742C22×C73—41no—
743C22×C73—41no—
744C22×C73—41no—
745C22×C73—41no—
746C22×C73—41no—
747C22×C73—41no—
748C22×C73—41no—
749C22×C73—41no—
750C22×C73—41no—
751C22×C73—41no—
752C22×C73—41no—
753C22×C73—41no—
754C22×C73—41no—
755C22×C73—41no—
756C22×C73C22×#4111yescharacteristic
757C22×C73C2×H(5,𝔽2)11yescharacteristic
758C22×C73C2×H(5,𝔽2)11yescharacteristic
759C22×C73C2×H(5,𝔽2)11yescharacteristic
760C22×C73C2×H(5,𝔽2)11yescharacteristic
761C22×C73C2×2−1+411yescharacteristic
762C22×C73#58511yescharacteristic
763C4×C73—22no—
764C4×C73—22no—
765C4×C73—22no—
766C4×C73—22no—
767C4×C73—22no—
768C4×C73—22no—
769C4×C73—22no—
770C4×C73—41no—
771C4×C73—41no—
772C4×C73—41no—
773C4×C73—41no—
774C4×C73—41no—
775C4×C73—41no—
776C4×C73—41no—
777C4×C73—41no—
778C4×C73—41no—
779C4×C73—41no—
780C4×C73—41no—
781C4×C73—41no—
782C4×C73—41no—
783C4×C73—41no—
784C4×C73—41no—
785C4×C73—41no—
786C4×C73—41no—
787C4×C73—41no—
788#36911C7311yesmaximal, characteristic, direct product factor, Sylow
789C2×C73—42no—
790C2×C73—81no—
791C2×C73—81no—
792C2×C73—81no—
793C2×C73—81no—
794C2×C73—81no—
795C2×C73#346011yescharacteristic
796C2×C73#351911yescharacteristic
797C2×C73#352211yescharacteristic
798C2×C73#353411yescharacteristic
799C2×C73#353611yescharacteristic
800C2×C73#354311yescharacteristic
801C2×C73#354711yescharacteristic
802#2856C2×C7311yescharacteristic, complemented
803#2853C2×C7311yescharacteristic, complemented
804#2803C2×C7311yescharacteristic, complemented
805#2792C2×C7311yescharacteristic, complemented
806#2790C2×C7311yescharacteristic, complemented
807#2780C2×C7311yescharacteristic, complemented
808#2710C2×C7311yescharacteristic, complemented
809#2709C2×C7311yescharacteristic, complemented
810#2701C2×C7311yescharacteristic, complemented
811#2692C2×C7311yescharacteristic, complemented
812#2686C2×C7311yescharacteristic, complemented
813#2682C2×C7311yescharacteristic, complemented
814#2681C2×C7311yescharacteristic, complemented
815#2676C2×C7311yescharacteristic, complemented
816#2673C2×C7311yescharacteristic, complemented
817#2672C2×C7311yescharacteristic, complemented
818#2671C2×C7311yescharacteristic, complemented
819#2671C2×C7311yescharacteristic, complemented
820#2662C2×C7311yescharacteristic, complemented
821#2651C2×C7311yescharacteristic, complemented
822#2559C2×C7311yescharacteristic, complemented
823#2555C2×C7311yescharacteristic, complemented
824#2479C2×C7311yescharacteristic, complemented
825#2476C2×C7311yescharacteristic, complemented
826#2464C2×C7311yescharacteristic, complemented
827#2461C2×C7311yescharacteristic, complemented
828#2458C2×C7311yescharacteristic, complemented
829#2426C2×C7311yescharacteristic, complemented
830#2335C2×C7311yescharacteristic, complemented
831#2324C2×C7311yescharacteristic, complemented
832C4×C22⋊Q8C2×C7311yescharacteristic, complemented
833C73#3691111yescharacteristic, direct product factor, Sylow
834C2×#127C22×C7311yescharacteristic
835C2×#126C22×C7311yescharacteristic
836C2×#124C22×C7311yescharacteristic
837C2×#124C22×C7311yescharacteristic
838C2×#124C22×C7311yescharacteristic
839C2×#123C22×C7311yescharacteristic
840C2×#123C22×C7311yescharacteristic
841C2×#123C22×C7311yescharacteristic
842C2×#123C22×C7311yescharacteristic
843C2×#123C22×C7311yescharacteristic
844C2×C22⋊Q8C22×C7311yescharacteristic
845C2×C22⋊Q8C22×C7311yescharacteristic
846C2×C22⋊Q8C22×C7311yescharacteristic
847C2×#121C22×C7311yescharacteristic
848C2×#121C22×C7311yescharacteristic
849C2×#121C22×C7311yescharacteristic
850C2×#121C22×C7311yescharacteristic
851C2×#121C22×C7311yescharacteristic
852C2×#121C22×C7311yescharacteristic
853C2×#121C22×C7311yescharacteristic
854C2×#121C22×C7311yescharacteristic
855C2×#121C22×C7311yescharacteristic
856C2×#121C22×C7311yescharacteristic
857C2×C4×Q8C22×C7311yescharacteristic
858C2×C4×D4C22×C7311yescharacteristic
859C2×#117C22×C7311yescharacteristic
860C22×C42C22×C7311yescharacteristic
861#400C22×C7311yescharacteristic
862#399C22×C7311yescharacteristic
863#399C22×C7311yescharacteristic
864#399C22×C7311yescharacteristic
865#398C22×C7311yescharacteristic
866#398C22×C7311yescharacteristic
867#398C22×C7311yescharacteristic
868#398C22×C7311yescharacteristic
869#398C22×C7311yescharacteristic
870#398C22×C7311yescharacteristic
871#397C22×C7311yescharacteristic
872#397C22×C7311yescharacteristic
873#396C22×C7311yescharacteristic
874#396C22×C7311yescharacteristic
875#396C22×C7311yescharacteristic
876#396C22×C7311yescharacteristic
877#396C22×C7311yescharacteristic
878#396C22×C7311yescharacteristic
879#395C22×C7311yescharacteristic
880#395C22×C7311yescharacteristic
881#395C22×C7311yescharacteristic
882#394C22×C7311yescharacteristic
883#394C22×C7311yescharacteristic
884#394C22×C7311yescharacteristic
885#394C22×C7311yescharacteristic
886#394C22×C7311yescharacteristic
887#394C22×C7311yescharacteristic
888#394C22×C7311yescharacteristic
889#394C22×C7311yescharacteristic
890#394C22×C7311yescharacteristic
891#394C22×C7311yescharacteristic
892#394C22×C7311yescharacteristic
893#394C22×C7311yescharacteristic
894#394C22×C7311yescharacteristic
895#394C22×C7311yescharacteristic
896#394C22×C7311yescharacteristic
897#394C22×C7311yescharacteristic
898#394C22×C7311yescharacteristic
899#394C22×C7311yescharacteristic
900#393C22×C7311yescharacteristic
901#393C22×C7311yescharacteristic
902#393C22×C7311yescharacteristic
903#392C22×C7311yescharacteristic
904#392C22×C7311yescharacteristic
905#392C22×C7311yescharacteristic
906#392C22×C7311yescharacteristic
907#392C22×C7311yescharacteristic
908#392C22×C7311yescharacteristic
909#391C22×C7311yescharacteristic
910#390C22×C7311yescharacteristic
911#390C22×C7311yescharacteristic
912#390C22×C7311yescharacteristic
913#390C22×C7311yescharacteristic
914#390C22×C7311yescharacteristic
915#390C22×C7311yescharacteristic
916#390C22×C7311yescharacteristic
917#390C22×C7311yescharacteristic
918#390C22×C7311yescharacteristic
919#390C22×C7311yescharacteristic
920#390C22×C7311yescharacteristic
921#389C22×C7311yescharacteristic
922#389C22×C7311yescharacteristic
923#389C22×C7311yescharacteristic
924#389C22×C7311yescharacteristic
925#389C22×C7311yescharacteristic
926#389C22×C7311yescharacteristic
927#388C22×C7311yescharacteristic
928#388C22×C7311yescharacteristic
929#388C22×C7311yescharacteristic
930#388C22×C7311yescharacteristic
931#388C22×C7311yescharacteristic
932#388C22×C7311yescharacteristic
933#388C22×C7311yescharacteristic
934#388C22×C7311yescharacteristic
935#388C22×C7311yescharacteristic
936#388C22×C7311yescharacteristic
937#388C22×C7311yescharacteristic
938#388C22×C7311yescharacteristic
939#388C22×C7311yescharacteristic
940#388C22×C7311yescharacteristic
941#388C22×C7311yescharacteristic
942#388C22×C7311yescharacteristic
943#388C22×C7311yescharacteristic
944#387C22×C7311yescharacteristic
945#387C22×C7311yescharacteristic
946#387C22×C7311yescharacteristic
947#387C22×C7311yescharacteristic
948#387C22×C7311yescharacteristic
949#387C22×C7311yescharacteristic
950#387C22×C7311yescharacteristic
951#387C22×C7311yescharacteristic
952#387C22×C7311yescharacteristic
953#386C22×C7311yescharacteristic
954#386C22×C7311yescharacteristic
955#386C22×C7311yescharacteristic
956#386C22×C7311yescharacteristic
957#386C22×C7311yescharacteristic
958#386C22×C7311yescharacteristic
959#386C22×C7311yescharacteristic
960#386C22×C7311yescharacteristic
961#386C22×C7311yescharacteristic
962#386C22×C7311yescharacteristic
963#386C22×C7311yescharacteristic
964#386C22×C7311yescharacteristic
965#386C22×C7311yescharacteristic
966#385C22×C7311yescharacteristic
967#385C22×C7311yescharacteristic
968#385C22×C7311yescharacteristic
969#385C22×C7311yescharacteristic
970#385C22×C7311yescharacteristic
971#385C22×C7311yescharacteristic
972#385C22×C7311yescharacteristic
973#385C22×C7311yescharacteristic
974#385C22×C7311yescharacteristic
975#385C22×C7311yescharacteristic
976#385C22×C7311yescharacteristic
977#384C22×C7311yescharacteristic
978#381C22×C7311yescharacteristic
979#380C22×C7311yescharacteristic
980#380C22×C7311yescharacteristic
981#380C22×C7311yescharacteristic
982C4×C4⋊C4C22×C7311yescharacteristic
983C4×C4⋊C4C22×C7311yescharacteristic
984C4×C4⋊C4C22×C7311yescharacteristic
985C4×C22⋊C4C22×C7311yescharacteristic
986C4×C22⋊C4C22×C7311yescharacteristic
987C4×C22⋊C4C22×C7311yescharacteristic
988C4×C22⋊C4C22×C7311yescharacteristic
989C22×Q8C23×C7311yescharacteristic
990C22×Q8C23×C7311yescharacteristic
991C22×D4C23×C7311yescharacteristic
992C22×D4C23×C7311yescharacteristic
993C22×D4C23×C7311yescharacteristic
994C22×D4C23×C7311yescharacteristic
995C22×D4C23×C7311yescharacteristic
996C22×D4C23×C7311yescharacteristic
997C22×D4C23×C7311yescharacteristic
998C22×D4C23×C7311yescharacteristic
999C22×D4C23×C7311yescharacteristic
1000C22×D4C23×C7311yescharacteristic
1001C22×D4C23×C7311yescharacteristic
1002C22×D4C23×C7311yescharacteristic
1003C22×D4C23×C7311yescharacteristic
1004C22×D4C23×C7311yescharacteristic
1005C22×D4C23×C7311yescharacteristic
1006C23×C4C23×C7311yescharacteristic
1007C23×C4C23×C7311yescharacteristic
1008C23×C4C23×C7311yescharacteristic
1009C23×C4C23×C7311yescharacteristic
1010C23×C4C23×C7311yescharacteristic
1011C23×C4C23×C7311yescharacteristic
1012C23×C4C23×C7311yescharacteristic
1013C23×C4C23×C7311yescharacteristic
1014#127—42no—
1015#126—42no—
1016#124—42no—
1017#124—42no—
1018#124—42no—
1019#123—24no—
1020#123—42no—
1021#123—42no—
1022#123—42no—
1023#123—42no—
1024C22⋊Q8—24no—
1025C22⋊Q8—42no—
1026C22⋊Q8—42no—
1027#121—24no—
1028#121—42no—
1029#121—42no—
1030#121—42no—
1031#121—42no—
1032#121—42no—
1033#121—42no—
1034#121—42no—
1035#121—42no—
1036#121—42no—
1037C4×Q8—42no—
1038C4×D4—42no—
1039#117—42no—
1040C2×C4⋊C4C23×C7311yescharacteristic
1041C2×C4⋊C4C23×C7311yescharacteristic
1042C2×C4⋊C4C23×C7311yescharacteristic
1043C2×C4⋊C4C23×C7311yescharacteristic
1044C2×C4⋊C4C23×C7311yescharacteristic
1045C2×C4⋊C4C23×C7311yescharacteristic
1046C2×C4⋊C4C23×C7311yescharacteristic
1047C2×C4⋊C4C23×C7311yescharacteristic
1048C2×C4⋊C4C23×C7311yescharacteristic
1049C2×C4⋊C4C23×C7311yescharacteristic
1050C2×C4⋊C4C23×C7311yescharacteristic
1051C2×C4⋊C4C23×C7311yescharacteristic
1052C2×C4⋊C4C23×C7311yescharacteristic
1053C2×C4⋊C4C23×C7311yescharacteristic
1054C2×C4⋊C4C23×C7311yescharacteristic
1055C2×C4⋊C4C23×C7311yescharacteristic
1056C2×C4⋊C4C23×C7311yescharacteristic
1057C2×C4⋊C4C23×C7311yescharacteristic
1058C2×C4⋊C4C23×C7311yescharacteristic
1059C2×C4⋊C4C23×C7311yescharacteristic
1060C2×C4⋊C4C23×C7311yescharacteristic
1061C2×C4⋊C4C23×C7311yescharacteristic
1062C2×C4⋊C4C23×C7311yescharacteristic
1063C2×C4⋊C4C23×C7311yescharacteristic
1064C2×C4⋊C4C23×C7311yescharacteristic
1065C2×C4⋊C4C23×C7311yescharacteristic
1066C2×C4⋊C4C23×C7311yescharacteristic
1067C2×C4⋊C4C23×C7311yescharacteristic
1068C2×C4⋊C4C23×C7311yescharacteristic
1069C2×C4⋊C4C23×C7311yescharacteristic
1070C2×C4⋊C4C23×C7311yescharacteristic
1071C2×C4⋊C4C23×C7311yescharacteristic
1072C2×C4⋊C4C23×C7311yescharacteristic
1073C2×C22⋊C4C23×C7311yescharacteristic
1074C2×C22⋊C4C23×C7311yescharacteristic
1075C2×C22⋊C4C23×C7311yescharacteristic
1076C2×C22⋊C4C23×C7311yescharacteristic
1077C2×C22⋊C4C23×C7311yescharacteristic
1078C2×C22⋊C4C23×C7311yescharacteristic
1079C2×C22⋊C4C23×C7311yescharacteristic
1080C2×C22⋊C4C23×C7311yescharacteristic
1081C2×C22⋊C4C23×C7311yescharacteristic
1082C2×C22⋊C4C23×C7311yescharacteristic
1083C2×C22⋊C4C23×C7311yescharacteristic
1084C2×C22⋊C4C23×C7311yescharacteristic
1085C2×C22⋊C4C23×C7311yescharacteristic
1086C2×C22⋊C4C23×C7311yescharacteristic
1087C2×C22⋊C4C23×C7311yescharacteristic
1088C2×C22⋊C4C23×C7311yescharacteristic
1089C2×C22⋊C4C23×C7311yescharacteristic
1090C2×C22⋊C4C23×C7311yescharacteristic
1091C2×C22⋊C4C23×C7311yescharacteristic
1092C2×C22⋊C4C23×C7311yescharacteristic
1093C2×C22⋊C4C23×C7311yescharacteristic
1094C2×C22⋊C4C23×C7311yescharacteristic
1095C2×C22⋊C4C23×C7311yescharacteristic
1096C2×C22⋊C4C23×C7311yescharacteristic
1097C2×C22⋊C4C23×C7311yescharacteristic
1098C2×C22⋊C4C23×C7311yescharacteristic
1099C2×C22⋊C4C23×C7311yescharacteristic
1100C2×C22⋊C4C23×C7311yescharacteristic
1101C2×C22⋊C4C23×C7311yescharacteristic
1102C2×C22⋊C4C23×C7311yescharacteristic
1103C2×C22⋊C4C23×C7311yescharacteristic
1104C2×C22⋊C4C23×C7311yescharacteristic
1105C2×C22⋊C4C23×C7311yescharacteristic
1106C2×C22⋊C4C23×C7311yescharacteristic
1107C2×C22⋊C4C23×C7311yescharacteristic
1108C2×C22⋊C4C23×C7311yescharacteristic
1109C2×C22⋊C4C23×C7311yescharacteristic
1110C2×C22⋊C4C23×C7311yescharacteristic
1111C2×C22⋊C4C23×C7311yescharacteristic
1112C2×C22⋊C4C23×C7311yescharacteristic
1113C2×C22⋊C4C23×C7311yescharacteristic
1114C2×C22⋊C4C23×C7311yescharacteristic
1115C2×C22⋊C4C23×C7311yescharacteristic
1116C2×C22⋊C4C23×C7311yescharacteristic
1117C2×C22⋊C4C23×C7311yescharacteristic
1118C2×C22⋊C4C23×C7311yescharacteristic
1119C2×C22⋊C4C23×C7311yescharacteristic
1120C2×C22⋊C4C23×C7311yescharacteristic
1121C2×C22⋊C4C23×C7311yescharacteristic
1122C2×C22⋊C4C23×C7311yescharacteristic
1123C2×C22⋊C4C23×C7311yescharacteristic
1124C2×C22⋊C4C23×C7311yescharacteristic
1125C2×C42—42no—
1126C2×C42C23×C7311yescharacteristic
1127C2×C42C23×C7311yescharacteristic
1128C2×C42C23×C7311yescharacteristic
1129C2×C42C23×C7311yescharacteristic
1130C2×C42C23×C7311yescharacteristic
1131C2×C42C23×C7311yescharacteristic
1132C2×C42C23×C7311yescharacteristic
1133C2×C42C23×C7311yescharacteristic
1134C2×C42C23×C7311yescharacteristic
1135C2×C42C23×C7311yescharacteristic
1136C2×C42C23×C7311yescharacteristic
1137#95C23×C7311yescharacteristic
1138#95C23×C7311yescharacteristic
1139#95C23×C7311yescharacteristic
1140#95C23×C7311yescharacteristic
1141#95C23×C7311yescharacteristic
1142#95C23×C7311yescharacteristic
1143#95C23×C7311yescharacteristic
1144#95C23×C7311yescharacteristic
1145#95C23×C7311yescharacteristic
1146#95C23×C7311yescharacteristic
1147#95C23×C7311yescharacteristic
1148#95C23×C7311yescharacteristic
1149#95C23×C7311yescharacteristic
1150#95C23×C7311yescharacteristic
1151#95C23×C7311yescharacteristic
1152#95C23×C7311yescharacteristic
1153#95C23×C7311yescharacteristic
1154#95C23×C7311yescharacteristic
1155#95C23×C7311yescharacteristic
1156#95C23×C7311yescharacteristic
1157#95C23×C7311yescharacteristic
1158#95C23×C7311yescharacteristic
1159#95C23×C7311yescharacteristic
1160#95C23×C7311yescharacteristic
1161#95C23×C7311yescharacteristic
1162#95C23×C7311yescharacteristic
1163#95C23×C7311yescharacteristic
1164#95C23×C7311yescharacteristic
1165#95C23×C7311yescharacteristic
1166#95C23×C7311yescharacteristic
1167#95C23×C7311yescharacteristic
1168#95C23×C7311yescharacteristic
1169#95C23×C7311yescharacteristic
1170#95C23×C7311yescharacteristic
1171C24C24×C7311yescharacteristic
1172C24C24×C7311yescharacteristic
1173C24C24×C7311yescharacteristic
1174C24C24×C7311yescharacteristic
1175C24C24×C7311yescharacteristic
1176C24C24×C7311yescharacteristic
1177C2×Q8—22no—
1178C2×Q8—22no—
1179C2×Q8—41no—
1180C2×Q8—41no—
1181C2×Q8—41no—
1182C2×Q8—41no—
1183C2×D4—22no—
1184C2×D4—22no—
1185C2×D4—22no—
1186C2×D4—22no—
1187C2×D4—22no—
1188C2×D4—22no—
1189C2×D4—22no—
1190C2×D4—22no—
1191C2×D4—22no—
1192C2×D4—22no—
1193C2×D4—22no—
1194C2×D4—22no—
1195C2×D4—22no—
1196C2×D4—41no—
1197C2×D4—41no—
1198C2×D4—41no—
1199C2×D4—41no—
1200C2×D4—41no—
1201C2×D4—41no—
1202C2×D4—41no—
1203C2×D4—41no—
1204C2×D4—41no—
1205C2×D4—41no—
1206C2×D4—41no—
1207C2×D4—41no—
1208C2×D4—41no—
1209C2×D4—41no—
1210C2×D4—41no—
1211C2×D4—41no—
1212C2×D4—41no—
1213C2×D4—41no—
1214C2×D4—41no—
1215C2×D4—41no—
1216C2×D4—41no—
1217C2×D4—41no—
1218C2×D4—41no—
1219C2×D4—41no—
1220C2×D4—41no—
1221C2×D4—41no—
1222C2×D4—41no—
1223C2×D4—41no—
1224C2×D4—41no—
1225C2×D4—41no—
1226C2×D4—41no—
1227C2×D4—41no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—41no—
1237C22×C4—41no—
1238C22×C4—41no—
1239C22×C4—41no—
1240C22×C4—41no—
1241C22×C4—41no—
1242C22×C4—41no—
1243C22×C4—41no—
1244C22×C4—41no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—41no—
1249C22×C4—41no—
1250C22×C4—41no—
1251C22×C4—41no—
1252C22×C4C24×C7311yescharacteristic
1253C22×C4C24×C7311yescharacteristic
1254C22×C4C24×C7311yescharacteristic
1255C22×C4C24×C7311yescharacteristic
1256C22×C4C24×C7311yescharacteristic
1257C22×C4C24×C7311yescharacteristic
1258C22×C4C24×C7311yescharacteristic
1259C22×C4C24×C7311yescharacteristic
1260C22×C4C24×C7311yescharacteristic
1261C22×C4C24×C7311yescharacteristic
1262C22×C4C24×C7311yescharacteristic
1263C22×C4C24×C7311yescharacteristic
1264C22×C4C24×C7311yescharacteristic
1265C22×C4C24×C7311yescharacteristic
1266C22×C4C24×C7311yescharacteristic
1267C22×C4C24×C7311yescharacteristic
1268C22×C4C24×C7311yescharacteristic
1269C22×C4C24×C7311yescharacteristic
1270C22×C4C24×C7311yescharacteristic
1271C22×C4C24×C7311yescharacteristic
1272C22×C4C24×C7311yescharacteristic
1273C22×C4C24×C7311yescharacteristic
1274C22×C4C24×C7311yescharacteristic
1275C22×C4C24×C7311yescharacteristic
1276C22×C4C24×C7311yescharacteristic
1277C4⋊C4—22no—
1278C4⋊C4—22no—
1279C4⋊C4—22no—
1280C4⋊C4—22no—
1281C4⋊C4—22no—
1282C4⋊C4—22no—
1283C4⋊C4—22no—
1284C4⋊C4—22no—
1285C4⋊C4—22no—
1286C4⋊C4—22no—
1287C4⋊C4—41no—
1288C4⋊C4—41no—
1289C4⋊C4—41no—
1290C4⋊C4—41no—
1291C4⋊C4—41no—
1292C4⋊C4—41no—
1293C4⋊C4—41no—
1294C4⋊C4—41no—
1295C4⋊C4—41no—
1296C4⋊C4—41no—
1297C4⋊C4—41no—
1298C4⋊C4—41no—
1299C4⋊C4—41no—
1300C4⋊C4—41no—
1301C4⋊C4—41no—
1302C4⋊C4—41no—
1303C4⋊C4—41no—
1304C4⋊C4—41no—
1305C4⋊C4—41no—
1306C4⋊C4—41no—
1307C4⋊C4—41no—
1308C4⋊C4—41no—
1309C4⋊C4#41×C7314yes—
1310C22⋊C4—22no—
1311C22⋊C4—22no—
1312C22⋊C4—22no—
1313C22⋊C4—22no—
1314C22⋊C4—22no—
1315C22⋊C4—22no—
1316C22⋊C4—22no—
1317C22⋊C4—22no—
1318C22⋊C4—22no—
1319C22⋊C4—22no—
1320C22⋊C4—22no—
1321C22⋊C4—22no—
1322C22⋊C4—22no—
1323C22⋊C4—22no—
1324C22⋊C4—22no—
1325C22⋊C4—22no—
1326C22⋊C4—22no—
1327C22⋊C4—22no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—41no—
1344C22⋊C4—41no—
1345C22⋊C4—41no—
1346C22⋊C4—41no—
1347C22⋊C4—41no—
1348C22⋊C4—41no—
1349C22⋊C4—41no—
1350C22⋊C4—41no—
1351C22⋊C4—41no—
1352C22⋊C4—41no—
1353C22⋊C4—41no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C42—22no—
1363C42—22no—
1364C42—22no—
1365C42—22no—
1366C42—41no—
1367C42—41no—
1368C42—41no—
1369C42—41no—
1370C42—41no—
1371C42—41no—
1372C42—41no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23H(5,𝔽2)×C7312yes—
1415C23C25×C7311yescharacteristic
1416Q8—44no—
1417Q8—82no—
1418D4—44no—
1419D4—82no—
1420D4—82no—
1421D4—82no—
1422D4—82no—
1423D4—82no—
1424D4—82no—
1425D4—82no—
1426D4—82no—
1427D4—82no—
1428D4—82no—
1429D4—82no—
1430D4—82no—
1431D4—82no—
1432D4—82no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—44no—
1502C2×C4—44no—
1503C2×C4—44no—
1504C2×C4—44no—
1505C2×C4—82no—
1506C2×C4—82no—
1507C2×C4—82no—
1508C2×C4—82no—
1509C2×C4C2×#41×C7312yes—
1510C2×C4C2×#41×C7312yes—
1511C2×C4C2×#41×C7312yes—
1512C2×C4H(5,𝔽2)×C7312yes—
1513C2×C4H(5,𝔽2)×C7312yes—
1514C2×C4H(5,𝔽2)×C7312yes—
1515C2×C42−1+4×C7312yes—
1516C22—22no—
1517C22—22no—
1518C22—22no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22—41no—
1532C22—41no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22C22×#41×C7311yescharacteristic
1559C22C2×H(5,𝔽2)×C7311yescharacteristic
1560C22C2×H(5,𝔽2)×C7311yescharacteristic
1561C22C2×H(5,𝔽2)×C7311yescharacteristic
1562C22C2×H(5,𝔽2)×C7311yescharacteristic
1563C22C2×2−1+4×C7311yescharacteristic
1564C22#585×C7311yescharacteristic
1565C4—22no—
1566C4—22no—
1567C4—22no—
1568C4—22no—
1569C4—22no—
1570C4—22no—
1571C4—22no—
1572C4—41no—
1573C4—41no—
1574C4—41no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—41no—
1581C4—41no—
1582C4—41no—
1583C4—41no—
1584C4—41no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C2—42no—
1591C2—81no—
1592C2—81no—
1593C2—81no—
1594C2—81no—
1595C2—81no—
1596C2C73×#346011yescharacteristic
1597C2C73×#351911yescharacteristic
1598C2C73×#352211yescharacteristic
1599C2C73×#353411yescharacteristic
1600C2C73×#353611yescharacteristic
1601C2C73×#354311yescharacteristic
1602C2C73×#354711yescharacteristic
subgroupG/H
center, socleC23×C73C25
commutator, Frattini, cosocleC23C25×C73
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C73 ◁ G

Complements

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

NH ≅ G/Ntype
1. C73×#2856C2semidirect
2. C73×#2853C2semidirect
3. C73×#2803C2semidirect
4. C73×#2792C2semidirect
5. C73×#2790C2semidirect
6. C73×#2780C2semidirect
7. C73×#2710C2semidirect
8. C73×#2709C2semidirect
9. C73×#2701C2semidirect
10. C73×#2692C2semidirect
11. C73×#2686C2semidirect
12. C73×#2682C2semidirect
13. C73×#2681C2semidirect
14. C73×#2676C2semidirect
15. C73×#2673C2semidirect
16. C73×#2672C2semidirect
17. C73×#2671C2semidirect
18. C73×#2671C2semidirect
19. C73×#2662C2semidirect
20. C73×#2651C2semidirect
21. C73×#2559C2semidirect
22. C73×#2555C2semidirect
23. C73×#2479C2semidirect
24. C73×#2476C2semidirect
25. C73×#2464C2semidirect
26. C73×#2461C2semidirect
27. C73×#2458C2semidirect
28. C73×#2426C2semidirect
29. C73×#2335C2semidirect
30. C73×#2324C2semidirect
31. C4×C22⋊Q8×C73C2semidirect
788. #36911C73direct (N × H)
802. #2856C2×C73semidirect
803. #2853C2×C73semidirect
804. #2803C2×C73semidirect
805. #2792C2×C73semidirect
806. #2790C2×C73semidirect
807. #2780C2×C73semidirect
808. #2710C2×C73semidirect
809. #2709C2×C73semidirect
810. #2701C2×C73semidirect
811. #2692C2×C73semidirect
812. #2686C2×C73semidirect
813. #2682C2×C73semidirect
814. #2681C2×C73semidirect
815. #2676C2×C73semidirect
816. #2673C2×C73semidirect
817. #2672C2×C73semidirect
818. #2671C2×C73semidirect
819. #2671C2×C73semidirect
820. #2662C2×C73semidirect
821. #2651C2×C73semidirect
822. #2559C2×C73semidirect
823. #2555C2×C73semidirect
824. #2479C2×C73semidirect
825. #2476C2×C73semidirect
826. #2464C2×C73semidirect
827. #2461C2×C73semidirect
828. #2458C2×C73semidirect
829. #2426C2×C73semidirect
830. #2335C2×C73semidirect
831. #2324C2×C73semidirect
832. C4×C22⋊Q8C2×C73semidirect
833. C73#36911direct (N × H)

Maximal subgroups

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

subgroupindex
C73×#28562
C73×#28532
C73×#28032
C73×#27922
C73×#27902
C73×#27802
C73×#27102
C73×#27092
C73×#27012
C73×#26922
C73×#26862
C73×#26822
C73×#26812
C73×#26762
C73×#26732
C73×#26722
C73×#26712
C73×#26622
C73×#26512
C73×#25592
C73×#25552
C73×#24792
C73×#24762
C73×#24642
C73×#24612
C73×#24582
C73×#24262
C73×#23352
C73×#23242
C4×C22⋊Q8×C732
#3691173