Finite Group Databasebeta

← C73×#59839 #32969243

Subgroups — C73×#59839 #32969243

Order 18688.

2544 conjugacy classes of subgroups.

The subgroup lattice has 1750 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#553×C73C211yesmaximal, characteristic, complemented
2C2×#551×C73C211yesmaximal, characteristic, complemented
3C73×#2720C211yesmaximal, characteristic, complemented
4C73×#2718C211yesmaximal, characteristic, complemented
5C73×#2673C211yesmaximal, characteristic, complemented
6C73×#2669C211yesmaximal, characteristic, complemented
7C73×#2598C211yesmaximal, characteristic, complemented
8C73×#2598C211yesmaximal, characteristic, complemented
9C73×#2559C211yesmaximal, characteristic, complemented
10C73×#2558C211yesmaximal, characteristic, complemented
11C73×#2555C211yesmaximal, characteristic, complemented
12C73×#2554C211yesmaximal, characteristic, complemented
13C73×#2540C211yesmaximal, characteristic, complemented
14C73×#2539C211yesmaximal, characteristic, complemented
15C73×#2479C211yesmaximal, characteristic, complemented
16C73×#2464C211yesmaximal, characteristic, complemented
17C73×#2461C211yesmaximal, characteristic, complemented
18C73×#2461C211yesmaximal, characteristic, complemented
19C73×#2456C211yesmaximal, characteristic, complemented
20C73×#2456C211yesmaximal, characteristic, complemented
21C73×#2455C211yesmaximal, characteristic, complemented
22C73×#2449C211yesmaximal, characteristic, complemented
23C73×#2424C211yesmaximal, characteristic, complemented
24C73×#2424C211yesmaximal, characteristic, complemented
25C73×#2363C211yesmaximal, characteristic, complemented
26C73×#2361C211yesmaximal, characteristic, complemented
27C73×#2358C211yesmaximal, characteristic, complemented
28C73×#2358C211yesmaximal, characteristic, complemented
29C4×#127×C73C211yesmaximal, characteristic, complemented
30C4×#126×C73C211yesmaximal, characteristic, complemented
31C73×#2293C211yesmaximal, characteristic, complemented
32#553×C73—28no—
33#551×C73—28no—
34C2×#127×C73C2211yescharacteristic
35C2×#126×C73C2211yescharacteristic
36C2×#126×C73C2211yescharacteristic
37C2×#126×C73C2211yescharacteristic, complemented
38C2×#125×C73C2211yescharacteristic, complemented
39C2×#124×C73C2211yescharacteristic
40C2×#124×C73C2211yescharacteristic, complemented
41C2×#123×C73C2211yescharacteristic
42C2×#123×C73C2211yescharacteristic
43C2×#123×C73C2211yescharacteristic
44C2×#123×C73C2211yescharacteristic
45C2×#123×C73C2211yescharacteristic
46C2×#123×C73C2211yescharacteristic, complemented
47C2×C22⋊Q8×C73C2211yescharacteristic
48C2×C22⋊Q8×C73C2211yescharacteristic
49C2×C22⋊Q8×C73C2211yescharacteristic, complemented
50C2×#121×C73C2211yescharacteristic
51C2×#121×C73C2211yescharacteristic
52C2×#121×C73C2211yescharacteristic
53C2×#121×C73C2211yescharacteristic
54C2×#121×C73C2211yescharacteristic
55C2×#121×C73C2211yescharacteristic
56C2×#121×C73C2211yescharacteristic
57C2×#121×C73C2211yescharacteristic, complemented
58C2×#120×C73C2211yescharacteristic
59C2×#120×C73C2211yescharacteristic
60C2×#120×C73C2211yescharacteristic
61C2×#120×C73C2211yescharacteristic
62C2×C4×D4×C73C2211yescharacteristic
63C2×C4×D4×C73C2211yescharacteristic
64C2×C4×D4×C73C2211yescharacteristic
65C2×C4×D4×C73C2211yescharacteristic
66C2×C4×D4×C73C2211yescharacteristic
67C2×C4×D4×C73C2211yescharacteristic
68C2×C4×D4×C73C2211yescharacteristic
69C2×C4×D4×C73C2211yescharacteristic
70C2×C4×D4×C73C2211yescharacteristic, complemented
71C2×C4×D4×C73C2211yescharacteristic, complemented
72C2×C4×D4×C73C2211yescharacteristic, complemented
73C2×C4×D4×C73C2211yescharacteristic, complemented
74C2×#117×C73C2211yescharacteristic
75C2×#117×C73C2211yescharacteristic
76C2×#117×C73C2211yescharacteristic, complemented
77C22×C4⋊C4×C73C2211yescharacteristic, complemented
78C22×C22⋊C4×C73C2211yescharacteristic
79C22×C22⋊C4×C73C2211yescharacteristic
80C22×C22⋊C4×C73C2211yescharacteristic
81#400×C73C2211yescharacteristic, complemented
82#400×C73C2211yescharacteristic, complemented
83#399×C73C2211yescharacteristic
84#399×C73C2211yescharacteristic
85#399×C73C2211yescharacteristic, complemented
86#399×C73C2211yescharacteristic, complemented
87#398×C73C2211yescharacteristic, complemented
88#398×C73C2211yescharacteristic, complemented
89#396×C73C2211yescharacteristic
90#396×C73C2211yescharacteristic
91#396×C73C2211yescharacteristic, complemented
92#396×C73C2211yescharacteristic, complemented
93#395×C73C2211yescharacteristic, complemented
94#395×C73C2211yescharacteristic, complemented
95#394×C73C2211yescharacteristic
96#394×C73C2211yescharacteristic
97#394×C73C2211yescharacteristic
98#394×C73C2211yescharacteristic
99#394×C73C2211yescharacteristic
100#394×C73C2211yescharacteristic
101#394×C73C2211yescharacteristic, complemented
102#394×C73C2211yescharacteristic, complemented
103#392×C73C2211yescharacteristic
104#392×C73C2211yescharacteristic
105#392×C73C2211yescharacteristic
106#392×C73C2211yescharacteristic
107#392×C73C2211yescharacteristic
108#392×C73C2211yescharacteristic
109#392×C73C2211yescharacteristic
110#392×C73C2211yescharacteristic
111#392×C73C2211yescharacteristic, complemented
112#392×C73C2211yescharacteristic, complemented
113#390×C73C2211yescharacteristic
114#390×C73C2211yescharacteristic
115#390×C73C2211yescharacteristic
116#390×C73C2211yescharacteristic
117#390×C73C2211yescharacteristic
118#390×C73C2211yescharacteristic
119#390×C73C2211yescharacteristic
120#390×C73C2211yescharacteristic
121#390×C73C2211yescharacteristic, complemented
122#390×C73C2211yescharacteristic, complemented
123#390×C73C2211yescharacteristic, complemented
124#390×C73C2211yescharacteristic, complemented
125#389×C73C2211yescharacteristic, complemented
126#389×C73C2211yescharacteristic, complemented
127#389×C73C2211yescharacteristic, complemented
128#389×C73C2211yescharacteristic, complemented
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, complemented
138#388×C73C2211yescharacteristic, complemented
139#388×C73C2211yescharacteristic, complemented
140#388×C73C2211yescharacteristic, complemented
141#388×C73C2211yescharacteristic, complemented
142#388×C73C2211yescharacteristic, complemented
143#388×C73C2211yescharacteristic, complemented
144#388×C73C2211yescharacteristic, complemented
145#388×C73C2211yescharacteristic, complemented
146#388×C73C2211yescharacteristic, complemented
147#388×C73C2211yescharacteristic, complemented
148#387×C73C2211yescharacteristic, complemented
149#387×C73C2211yescharacteristic, complemented
150#387×C73C2211yescharacteristic, complemented
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, complemented
163#386×C73C2211yescharacteristic, complemented
164#386×C73C2211yescharacteristic, complemented
165#385×C73C2211yescharacteristic
166#385×C73C2211yescharacteristic
167#385×C73C2211yescharacteristic
168#385×C73C2211yescharacteristic
169#385×C73C2211yescharacteristic
170#385×C73C2211yescharacteristic
171#385×C73C2211yescharacteristic, complemented
172#385×C73C2211yescharacteristic, complemented
173#385×C73C2211yescharacteristic, complemented
174#385×C73C2211yescharacteristic, complemented
175#384×C73C2211yescharacteristic, complemented
176#383×C73C2211yescharacteristic, complemented
177C4×C4⋊C4×C73C2211yescharacteristic, complemented
178C4×C4⋊C4×C73C2211yescharacteristic, complemented
179C4×C4⋊C4×C73C2211yescharacteristic, complemented
180C4×C4⋊C4×C73C2211yescharacteristic, complemented
181C4×C22⋊C4×C73C2211yescharacteristic
182C4×C22⋊C4×C73C2211yescharacteristic
183C4×C22⋊C4×C73C2211yescharacteristic
184C4×C22⋊C4×C73C2211yescharacteristic
185C4×C22⋊C4×C73C2211yescharacteristic
186C4×C22⋊C4×C73C2211yescharacteristic, complemented
187C4×C22⋊C4×C73C2211yescharacteristic, complemented
188C43×C73C2211yescharacteristic, complemented
189C25×C73C2311yescharacteristic
190C22×Q8×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
204C22×D4×C73C2311yescharacteristic
205C22×D4×C73C2311yescharacteristic
206C22×D4×C73C2311yescharacteristic
207C22×D4×C73C2311yescharacteristic
208C22×D4×C73C2311yescharacteristic
209C23×C4×C73C2311yescharacteristic
210C23×C4×C73C2311yescharacteristic
211C23×C4×C73C2311yescharacteristic
212C23×C4×C73C2311yescharacteristic
213C23×C4×C73C2311yescharacteristic
214C23×C4×C73C2311yescharacteristic
215C23×C4×C73C2311yescharacteristic
216C23×C4×C73C2311yescharacteristic
217C23×C4×C73C2311yescharacteristic
218C23×C4×C73C2311yescharacteristic
219C23×C4×C73C2311yescharacteristic
220C23×C4×C73C2311yescharacteristic
221#127×C73—24no—
222#126×C73—24no—
223#126×C73—24no—
224#126×C73D418yescomplemented
225#125×C73—24no—
226#124×C73—24no—
227#124×C73—42no—
228#123×C73—24no—
229#123×C73—24no—
230#123×C73—24no—
231#123×C73—24no—
232#123×C73—24no—
233#123×C73—42no—
234C22⋊Q8×C73—24no—
235C22⋊Q8×C73—24no—
236C22⋊Q8×C73—42no—
237#121×C73—24no—
238#121×C73—24no—
239#121×C73—24no—
240#121×C73—24no—
241#121×C73—24no—
242#121×C73—24no—
243#121×C73—42no—
244#121×C73—42no—
245#120×C73—24no—
246#120×C73—24no—
247#120×C73—24no—
248#120×C73—42no—
249C4×D4×C73—24no—
250C4×D4×C73—24no—
251C4×D4×C73—24no—
252C4×D4×C73—24no—
253C4×D4×C73—24no—
254C4×D4×C73—24no—
255C4×D4×C73—24no—
256C4×D4×C73—42no—
257C4×D4×C73—42no—
258C4×D4×C73—42no—
259C4×D4×C73—42no—
260C4×D4×C73—42no—
261#117×C73—24no—
262#117×C73—24no—
263#117×C73—24no—
264C2×C4⋊C4×C73—24no—
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×C4⋊C4×C73C2311yescharacteristic
272C2×C4⋊C4×C73C2311yescharacteristic
273C2×C4⋊C4×C73C2311yescharacteristic
274C2×C4⋊C4×C73C2311yescharacteristic
275C2×C4⋊C4×C73C2311yescharacteristic
276C2×C4⋊C4×C73C2311yescharacteristic
277C2×C4⋊C4×C73C2311yescharacteristic
278C2×C4⋊C4×C73C2311yescharacteristic
279C2×C4⋊C4×C73C2311yescharacteristic
280C2×C4⋊C4×C73C2311yescharacteristic
281C2×C4⋊C4×C73C2311yescharacteristic
282C2×C4⋊C4×C73C2311yescharacteristic
283C2×C4⋊C4×C73C2311yescharacteristic
284C2×C4⋊C4×C73C2311yescharacteristic
285C2×C4⋊C4×C73C2311yescharacteristic
286C2×C4⋊C4×C73C2311yescharacteristic
287C2×C4⋊C4×C73C2311yescharacteristic
288C2×C4⋊C4×C73C2311yescharacteristic
289C2×C4⋊C4×C73C2311yescharacteristic
290C2×C4⋊C4×C73C2311yescharacteristic
291C2×C4⋊C4×C73C2311yescharacteristic
292C2×C4⋊C4×C73C2311yescharacteristic
293C2×C4⋊C4×C73C2311yescharacteristic
294C2×C22⋊C4×C73—24no—
295C2×C22⋊C4×C73—24no—
296C2×C22⋊C4×C73—42no—
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×C22⋊C4×C73C2311yescharacteristic
324C2×C22⋊C4×C73C2311yescharacteristic
325C2×C22⋊C4×C73C2311yescharacteristic
326C2×C22⋊C4×C73C2311yescharacteristic
327C2×C22⋊C4×C73C2311yescharacteristic
328C2×C22⋊C4×C73C2311yescharacteristic
329C2×C22⋊C4×C73C2311yescharacteristic
330C2×C22⋊C4×C73C2311yescharacteristic
331C2×C22⋊C4×C73C2311yescharacteristic
332C2×C22⋊C4×C73C2311yescharacteristic
333C2×C22⋊C4×C73C2311yescharacteristic
334C2×C22⋊C4×C73C2311yescharacteristic
335C2×C22⋊C4×C73C2311yescharacteristic
336C2×C22⋊C4×C73C2311yescharacteristic
337C2×C22⋊C4×C73C2311yescharacteristic
338C2×C22⋊C4×C73C2311yescharacteristic
339C2×C22⋊C4×C73C2311yescharacteristic
340C2×C22⋊C4×C73C2311yescharacteristic
341C2×C22⋊C4×C73C2311yescharacteristic
342C2×C22⋊C4×C73C2311yescharacteristic
343C2×C22⋊C4×C73C2311yescharacteristic
344C2×C22⋊C4×C73C2311yescharacteristic
345C2×C22⋊C4×C73C2311yescharacteristic
346C2×C22⋊C4×C73C2311yescharacteristic
347C2×C22⋊C4×C73C2311yescharacteristic
348C2×C22⋊C4×C73C2311yescharacteristic
349C2×C22⋊C4×C73C2311yescharacteristic
350C2×C22⋊C4×C73C2311yescharacteristic
351C2×C42×C73C2311yescharacteristic
352C2×C42×C73C2311yescharacteristic
353C2×C42×C73C2311yescharacteristic
354C2×C42×C73C2311yescharacteristic
355C2×C42×C73C2311yescharacteristic
356C2×C42×C73C2311yescharacteristic
357C2×C42×C73C2311yescharacteristic
358C2×C42×C73C2311yescharacteristic
359C2×C42×C73C2311yescharacteristic
360C2×C42×C73C2311yescharacteristic
361C2×C42×C73C2311yescharacteristic
362C2×C42×C73C2311yescharacteristic
363C2×C42×C73C2311yescharacteristic
364C2×C42×C73C2311yescharacteristic
365#95×C73C2311yescharacteristic
366#95×C73C2311yescharacteristic
367#95×C73C2311yescharacteristic
368#95×C73C2311yescharacteristic
369#95×C73C2311yescharacteristic
370#95×C73C2311yescharacteristic
371#95×C73C2311yescharacteristic
372#95×C73C2311yescharacteristic
373#95×C73C2311yescharacteristic
374#95×C73C2311yescharacteristic
375#95×C73C2311yescharacteristic
376#95×C73C2311yescharacteristic
377#95×C73C2311yescharacteristic
378#95×C73C2311yescharacteristic
379#95×C73C2311yescharacteristic
380#95×C73C2311yescharacteristic
381#95×C73C2311yescharacteristic
382#95×C73C2311yescharacteristic
383#95×C73C2311yescharacteristic
384#95×C73C2311yescharacteristic
385#95×C73C2311yescharacteristic
386#95×C73C2311yescharacteristic
387#95×C73C2311yescharacteristic
388#95×C73C2311yescharacteristic
389#95×C73C2311yescharacteristic
390#95×C73C2311yescharacteristic
391C24×C73—22no—
392C24×C73—22no—
393C24×C73—22no—
394C24×C73—41no—
395C24×C73—41no—
396C24×C73—41no—
397C24×C73—41no—
398C24×C73C2411yescharacteristic
399C24×C73C2411yescharacteristic
400C24×C73C2411yescharacteristic
401C24×C73C2411yescharacteristic
402C24×C73C2411yescharacteristic
403C24×C73C2411yescharacteristic
404C24×C73C2411yescharacteristic
405C2×Q8×C73—22no—
406C2×Q8×C73—41no—
407C2×Q8×C73—41no—
408C2×D4×C73—22no—
409C2×D4×C73—22no—
410C2×D4×C73—22no—
411C2×D4×C73—22no—
412C2×D4×C73—22no—
413C2×D4×C73—22no—
414C2×D4×C73—22no—
415C2×D4×C73—22no—
416C2×D4×C73—22no—
417C2×D4×C73—22no—
418C2×D4×C73—22no—
419C2×D4×C73—22no—
420C2×D4×C73—22no—
421C2×D4×C73—22no—
422C2×D4×C73—22no—
423C2×D4×C73—22no—
424C2×D4×C73—22no—
425C2×D4×C73—22no—
426C2×D4×C73—22no—
427C2×D4×C73—22no—
428C2×D4×C73—22no—
429C2×D4×C73—22no—
430C2×D4×C73—22no—
431C2×D4×C73—22no—
432C2×D4×C73—22no—
433C2×D4×C73—22no—
434C2×D4×C73—41no—
435C2×D4×C73—41no—
436C2×D4×C73—41no—
437C2×D4×C73—41no—
438C2×D4×C73—41no—
439C2×D4×C73—41no—
440C2×D4×C73—41no—
441C2×D4×C73—41no—
442C2×D4×C73—41no—
443C2×D4×C73—41no—
444C2×D4×C73—41no—
445C2×D4×C73—41no—
446C2×D4×C73—41no—
447C2×D4×C73—41no—
448C2×D4×C73—41no—
449C2×D4×C73—41no—
450C2×D4×C73—41no—
451C2×D4×C73—41no—
452C2×D4×C73—41no—
453C2×D4×C73—41no—
454C2×D4×C73—41no—
455C2×D4×C73—41no—
456C2×D4×C73—41no—
457C2×D4×C73—41no—
458C2×D4×C73—41no—
459C2×D4×C73—41no—
460C2×D4×C73—41no—
461C2×D4×C73#4114yes—
462C22×C4×C73—22no—
463C22×C4×C73—22no—
464C22×C4×C73—22no—
465C22×C4×C73—22no—
466C22×C4×C73—22no—
467C22×C4×C73—22no—
468C22×C4×C73—22no—
469C22×C4×C73—22no—
470C22×C4×C73—22no—
471C22×C4×C73—22no—
472C22×C4×C73—22no—
473C22×C4×C73—22no—
474C22×C4×C73—22no—
475C22×C4×C73—22no—
476C22×C4×C73—22no—
477C22×C4×C73—22no—
478C22×C4×C73—41no—
479C22×C4×C73—41no—
480C22×C4×C73—41no—
481C22×C4×C73—41no—
482C22×C4×C73—41no—
483C22×C4×C73—41no—
484C22×C4×C73—41no—
485C22×C4×C73—41no—
486C22×C4×C73—41no—
487C22×C4×C73—41no—
488C22×C4×C73—41no—
489C22×C4×C73—41no—
490C22×C4×C73—41no—
491C22×C4×C73—41no—
492C22×C4×C73—41no—
493C22×C4×C73—41no—
494C22×C4×C73—41no—
495C22×C4×C73—41no—
496C22×C4×C73—41no—
497C22×C4×C73—41no—
498C22×C4×C73C2411yescharacteristic
499C22×C4×C73C2411yescharacteristic
500C22×C4×C73C2411yescharacteristic
501C22×C4×C73C2411yescharacteristic
502C22×C4×C73C2411yescharacteristic
503C22×C4×C73C2411yescharacteristic
504C22×C4×C73C2411yescharacteristic
505C22×C4×C73C2411yescharacteristic
506C22×C4×C73C2411yescharacteristic
507C22×C4×C73C2411yescharacteristic
508C22×C4×C73C2411yescharacteristic
509C22×C4×C73C2411yescharacteristic
510C22×C4×C73C2411yescharacteristic
511C22×C4×C73C2411yescharacteristic
512C22×C4×C73C2411yescharacteristic
513C22×C4×C73C2411yescharacteristic
514C22×C4×C73C2411yescharacteristic
515C22×C4×C73C2411yescharacteristic
516C22×C4×C73C2411yescharacteristic
517C22×C4×C73C2411yescharacteristic
518C22×C4×C73C2411yescharacteristic
519C22×C4×C73C2411yescharacteristic
520C22×C4×C73C2411yescharacteristic
521C22×C4×C73C2411yescharacteristic
522C4⋊C4×C73—22no—
523C4⋊C4×C73—22no—
524C4⋊C4×C73—22no—
525C4⋊C4×C73—22no—
526C4⋊C4×C73—22no—
527C4⋊C4×C73—22no—
528C4⋊C4×C73—22no—
529C4⋊C4×C73—22no—
530C4⋊C4×C73—22no—
531C4⋊C4×C73—22no—
532C4⋊C4×C73—22no—
533C4⋊C4×C73—22no—
534C4⋊C4×C73—22no—
535C4⋊C4×C73—22no—
536C4⋊C4×C73—22no—
537C4⋊C4×C73—22no—
538C4⋊C4×C73—22no—
539C4⋊C4×C73—41no—
540C4⋊C4×C73—41no—
541C4⋊C4×C73—41no—
542C4⋊C4×C73—41no—
543C4⋊C4×C73—41no—
544C4⋊C4×C73—41no—
545C4⋊C4×C73—41no—
546C4⋊C4×C73—41no—
547C4⋊C4×C73—41no—
548C4⋊C4×C73C2×D414yes—
549C4⋊C4×C73C2×D414yes—
550C4⋊C4×C73C2×D414yes—
551C22⋊C4×C73—22no—
552C22⋊C4×C73—22no—
553C22⋊C4×C73—22no—
554C22⋊C4×C73—22no—
555C22⋊C4×C73—22no—
556C22⋊C4×C73—22no—
557C22⋊C4×C73—22no—
558C22⋊C4×C73—22no—
559C22⋊C4×C73—22no—
560C22⋊C4×C73—22no—
561C22⋊C4×C73—22no—
562C22⋊C4×C73—22no—
563C22⋊C4×C73—22no—
564C22⋊C4×C73—22no—
565C22⋊C4×C73—22no—
566C22⋊C4×C73—22no—
567C22⋊C4×C73—22no—
568C22⋊C4×C73—22no—
569C22⋊C4×C73—22no—
570C22⋊C4×C73—22no—
571C22⋊C4×C73—22no—
572C22⋊C4×C73—22no—
573C22⋊C4×C73—22no—
574C22⋊C4×C73—22no—
575C22⋊C4×C73—22no—
576C22⋊C4×C73—22no—
577C22⋊C4×C73—22no—
578C22⋊C4×C73—22no—
579C22⋊C4×C73—22no—
580C22⋊C4×C73—22no—
581C22⋊C4×C73—22no—
582C22⋊C4×C73—22no—
583C22⋊C4×C73—22no—
584C22⋊C4×C73—22no—
585C22⋊C4×C73—22no—
586C22⋊C4×C73—22no—
587C22⋊C4×C73—22no—
588C22⋊C4×C73—22no—
589C22⋊C4×C73—41no—
590C22⋊C4×C73—41no—
591C22⋊C4×C73—41no—
592C22⋊C4×C73—41no—
593C22⋊C4×C73—41no—
594C22⋊C4×C73—41no—
595C22⋊C4×C73—41no—
596C22⋊C4×C73—41no—
597C22⋊C4×C73—41no—
598C22⋊C4×C73—41no—
599C22⋊C4×C73—41no—
600C22⋊C4×C73—41no—
601C22⋊C4×C73C2×D414yes—
602C22⋊C4×C73C2×D414yes—
603C22⋊C4×C73C2×D414yes—
604C22⋊C4×C73#4114yes—
605C42×C73—22no—
606C42×C73—22no—
607C42×C73—22no—
608C42×C73—22no—
609C42×C73—22no—
610C42×C73—22no—
611C42×C73—22no—
612C42×C73—22no—
613C42×C73—22no—
614C42×C73—41no—
615C42×C73—41no—
616C42×C73—41no—
617C42×C73—41no—
618C42×C73C2×D414yes—
619C23×C73—21no—
620C23×C73—21no—
621C23×C73—21no—
622C23×C73—21no—
623C23×C73—21no—
624C23×C73—21no—
625C23×C73—21no—
626C23×C73—21no—
627C23×C73—21no—
628C23×C73—21no—
629C23×C73—21no—
630C23×C73—21no—
631C23×C73—21no—
632C23×C73—21no—
633C23×C73—21no—
634C23×C73—21no—
635C23×C73—21no—
636C23×C73—21no—
637C23×C73—21no—
638C23×C73—21no—
639C23×C73—21no—
640C23×C73—21no—
641C23×C73—21no—
642C23×C73—21no—
643C23×C73—21no—
644C23×C73—21no—
645C23×C73—21no—
646C23×C73—21no—
647C23×C73—21no—
648C23×C73—21no—
649C23×C73—21no—
650C23×C73—21no—
651C23×C73—21no—
652C23×C73—21no—
653C23×C73—21no—
654C23×C73—21no—
655C23×C73—21no—
656C23×C73—21no—
657C23×C73—21no—
658C23×C73—21no—
659C23×C73—21no—
660C23×C73—21no—
661C23×C73—21no—
662C23×C73—21no—
663C23×C73—21no—
664C23×C73—44no—
665C23×C73—44no—
666C23×C73—44no—
667C23×C73—82no—
668C23×C73—82no—
669C23×C73—82no—
670C23×C73—82no—
671C23×C73C22×D412yes—
672C23×C73C2×#4112yes—
673C23×C73C2×#4112yes—
674C23×C73C2×#4112yes—
675C23×C73C2511yescharacteristic
676Q8×C73—82no—
677D4×C73—44no—
678D4×C73—44no—
679D4×C73—44no—
680D4×C73—44no—
681D4×C73—44no—
682D4×C73—44no—
683D4×C73—44no—
684D4×C73—44no—
685D4×C73—44no—
686D4×C73—44no—
687D4×C73—44no—
688D4×C73—44no—
689D4×C73—82no—
690D4×C73—82no—
691D4×C73—82no—
692D4×C73—82no—
693D4×C73—82no—
694D4×C73—82no—
695C2×C4×C73—21no—
696C2×C4×C73—21no—
697C2×C4×C73—21no—
698C2×C4×C73—21no—
699C2×C4×C73—21no—
700C2×C4×C73—21no—
701C2×C4×C73—21no—
702C2×C4×C73—21no—
703C2×C4×C73—21no—
704C2×C4×C73—21no—
705C2×C4×C73—21no—
706C2×C4×C73—21no—
707C2×C4×C73—21no—
708C2×C4×C73—21no—
709C2×C4×C73—21no—
710C2×C4×C73—21no—
711C2×C4×C73—21no—
712C2×C4×C73—21no—
713C2×C4×C73—21no—
714C2×C4×C73—21no—
715C2×C4×C73—21no—
716C2×C4×C73—21no—
717C2×C4×C73—21no—
718C2×C4×C73—21no—
719C2×C4×C73—21no—
720C2×C4×C73—21no—
721C2×C4×C73—21no—
722C2×C4×C73—21no—
723C2×C4×C73—21no—
724C2×C4×C73—21no—
725C2×C4×C73—21no—
726C2×C4×C73—21no—
727C2×C4×C73—21no—
728C2×C4×C73—21no—
729C2×C4×C73—21no—
730C2×C4×C73—21no—
731C2×C4×C73—21no—
732C2×C4×C73—21no—
733C2×C4×C73—21no—
734C2×C4×C73—21no—
735C2×C4×C73—21no—
736C2×C4×C73—21no—
737C2×C4×C73—21no—
738C2×C4×C73—21no—
739C2×C4×C73—21no—
740C2×C4×C73—21no—
741C2×C4×C73—21no—
742C2×C4×C73—21no—
743C2×C4×C73—21no—
744C2×C4×C73—21no—
745C2×C4×C73—21no—
746C2×C4×C73—21no—
747C2×C4×C73—21no—
748C2×C4×C73—21no—
749C2×C4×C73—21no—
750C2×C4×C73—21no—
751C2×C4×C73—21no—
752C2×C4×C73—21no—
753C2×C4×C73—21no—
754C2×C4×C73—21no—
755C2×C4×C73—21no—
756C2×C4×C73—44no—
757C2×C4×C73—44no—
758C2×C4×C73—44no—
759C2×C4×C73—44no—
760C2×C4×C73—82no—
761C2×C4×C73—82no—
762C2×C4×C73—82no—
763C2×C4×C73—82no—
764C2×C4×C73—82no—
765C2×C4×C73—82no—
766C2×C4×C73—82no—
767C2×C4×C73—82no—
768C2×C4×C73C22×D412yes—
769C2×C4×C73C22×D412yes—
770C2×C4×C73C22×D412yes—
771C2×C4×C73C22×D412yes—
772C2×C4×C73C22×D412yes—
773C2×C4×C73C22×D412yes—
774C2×C4×C73C2×#4112yes—
775C2×C4×C73C2×#4112yes—
776C2×C4×C73C2×#4112yes—
777C2×C4×C73H(5,𝔽2)12yes—
778C2×C4×C73H(5,𝔽2)12yes—
779C22×C73—22no—
780C22×C73—22no—
781C22×C73—22no—
782C22×C73—22no—
783C22×C73—22no—
784C22×C73—22no—
785C22×C73—22no—
786C22×C73—22no—
787C22×C73—22no—
788C22×C73—22no—
789C22×C73—22no—
790C22×C73—22no—
791C22×C73—41no—
792C22×C73—41no—
793C22×C73—41no—
794C22×C73—41no—
795C22×C73—41no—
796C22×C73—41no—
797C22×C73—41no—
798C22×C73—41no—
799C22×C73—41no—
800C22×C73—41no—
801C22×C73—41no—
802C22×C73—41no—
803C22×C73—41no—
804C22×C73—41no—
805C22×C73—41no—
806C22×C73—41no—
807C22×C73—41no—
808C22×C73—41no—
809C22×C73—41no—
810C22×C73—41no—
811C22×C73—41no—
812C22×C73—41no—
813C22×C73—41no—
814C22×C73—41no—
815C22×C73—41no—
816C22×C73—41no—
817C22×C73—41no—
818C22×C73—41no—
819C22×C73—41no—
820C22×C73—41no—
821C22×C73—41no—
822C22×C73—41no—
823C22×C73—41no—
824C22×C73—41no—
825C22×C73—41no—
826C22×C73—41no—
827C22×C73—41no—
828C22×C73—88no—
829C22×C73C23×D411yescharacteristic
830C22×C73C22×#4111yescharacteristic
831C22×C73C22×#4111yescharacteristic
832C22×C73C2×H(5,𝔽2)11yescharacteristic
833C22×C73C2×H(5,𝔽2)11yescharacteristic
834C22×C73#58511yescharacteristic
835C22×C73#58511yescharacteristic
836C4×C73—22no—
837C4×C73—22no—
838C4×C73—22no—
839C4×C73—22no—
840C4×C73—22no—
841C4×C73—22no—
842C4×C73—22no—
843C4×C73—22no—
844C4×C73—22no—
845C4×C73—22no—
846C4×C73—22no—
847C4×C73—41no—
848C4×C73—41no—
849C4×C73—41no—
850C4×C73—41no—
851C4×C73—41no—
852C4×C73—41no—
853C4×C73—41no—
854C4×C73—41no—
855C4×C73—41no—
856C4×C73—41no—
857C4×C73—41no—
858C4×C73—41no—
859C4×C73—41no—
860#59839C7311yesmaximal, characteristic, direct product factor, Sylow
861C2×C73—42no—
862C2×C73—42no—
863C2×C73—42no—
864C2×C73—42no—
865C2×C73—81no—
866C2×C73—81no—
867C2×C73—81no—
868C2×C73D4×#4111yescharacteristic
869C2×C73D4×#4111yescharacteristic
870C2×C73#348111yescharacteristic
871C2×C73#349411yescharacteristic
872C2×C73#349811yescharacteristic
873C2×C73#350511yescharacteristic
874C2×C73#356011yescharacteristic
875C2×#553C2×C7311yescharacteristic, complemented
876C2×#551C2×C7311yescharacteristic, complemented
877#2720C2×C7311yescharacteristic, complemented
878#2718C2×C7311yescharacteristic, complemented
879#2673C2×C7311yescharacteristic, complemented
880#2669C2×C7311yescharacteristic, complemented
881#2598C2×C7311yescharacteristic, complemented
882#2598C2×C7311yescharacteristic, complemented
883#2559C2×C7311yescharacteristic, complemented
884#2558C2×C7311yescharacteristic, complemented
885#2555C2×C7311yescharacteristic, complemented
886#2554C2×C7311yescharacteristic, complemented
887#2540C2×C7311yescharacteristic, complemented
888#2539C2×C7311yescharacteristic, complemented
889#2479C2×C7311yescharacteristic, complemented
890#2464C2×C7311yescharacteristic, complemented
891#2461C2×C7311yescharacteristic, complemented
892#2461C2×C7311yescharacteristic, complemented
893#2456C2×C7311yescharacteristic, complemented
894#2456C2×C7311yescharacteristic, complemented
895#2455C2×C7311yescharacteristic, complemented
896#2449C2×C7311yescharacteristic, complemented
897#2424C2×C7311yescharacteristic, complemented
898#2424C2×C7311yescharacteristic, complemented
899#2363C2×C7311yescharacteristic, complemented
900#2361C2×C7311yescharacteristic, complemented
901#2358C2×C7311yescharacteristic, complemented
902#2358C2×C7311yescharacteristic, complemented
903C4×#127C2×C7311yescharacteristic, complemented
904C4×#126C2×C7311yescharacteristic, complemented
905#2293C2×C7311yescharacteristic, complemented
906C73#5983911yescharacteristic, direct product factor, Sylow
907#553—28no—
908#551—28no—
909C2×#127C22×C7311yescharacteristic
910C2×#126C22×C7311yescharacteristic
911C2×#126C22×C7311yescharacteristic
912C2×#126C22×C7311yescharacteristic, complemented
913C2×#125C22×C7311yescharacteristic, complemented
914C2×#124C22×C7311yescharacteristic
915C2×#124C22×C7311yescharacteristic, complemented
916C2×#123C22×C7311yescharacteristic
917C2×#123C22×C7311yescharacteristic
918C2×#123C22×C7311yescharacteristic
919C2×#123C22×C7311yescharacteristic
920C2×#123C22×C7311yescharacteristic
921C2×#123C22×C7311yescharacteristic, complemented
922C2×C22⋊Q8C22×C7311yescharacteristic
923C2×C22⋊Q8C22×C7311yescharacteristic
924C2×C22⋊Q8C22×C7311yescharacteristic, complemented
925C2×#121C22×C7311yescharacteristic
926C2×#121C22×C7311yescharacteristic
927C2×#121C22×C7311yescharacteristic
928C2×#121C22×C7311yescharacteristic
929C2×#121C22×C7311yescharacteristic
930C2×#121C22×C7311yescharacteristic
931C2×#121C22×C7311yescharacteristic
932C2×#121C22×C7311yescharacteristic, complemented
933C2×#120C22×C7311yescharacteristic
934C2×#120C22×C7311yescharacteristic
935C2×#120C22×C7311yescharacteristic
936C2×#120C22×C7311yescharacteristic
937C2×C4×D4C22×C7311yescharacteristic
938C2×C4×D4C22×C7311yescharacteristic
939C2×C4×D4C22×C7311yescharacteristic
940C2×C4×D4C22×C7311yescharacteristic
941C2×C4×D4C22×C7311yescharacteristic
942C2×C4×D4C22×C7311yescharacteristic
943C2×C4×D4C22×C7311yescharacteristic
944C2×C4×D4C22×C7311yescharacteristic
945C2×C4×D4C22×C7311yescharacteristic, complemented
946C2×C4×D4C22×C7311yescharacteristic, complemented
947C2×C4×D4C22×C7311yescharacteristic, complemented
948C2×C4×D4C22×C7311yescharacteristic, complemented
949C2×#117C22×C7311yescharacteristic
950C2×#117C22×C7311yescharacteristic
951C2×#117C22×C7311yescharacteristic, complemented
952C22×C4⋊C4C22×C7311yescharacteristic, complemented
953C22×C22⋊C4C22×C7311yescharacteristic
954C22×C22⋊C4C22×C7311yescharacteristic
955C22×C22⋊C4C22×C7311yescharacteristic
956#400C22×C7311yescharacteristic, complemented
957#400C22×C7311yescharacteristic, complemented
958#399C22×C7311yescharacteristic
959#399C22×C7311yescharacteristic
960#399C22×C7311yescharacteristic, complemented
961#399C22×C7311yescharacteristic, complemented
962#398C22×C7311yescharacteristic, complemented
963#398C22×C7311yescharacteristic, complemented
964#396C22×C7311yescharacteristic
965#396C22×C7311yescharacteristic
966#396C22×C7311yescharacteristic, complemented
967#396C22×C7311yescharacteristic, complemented
968#395C22×C7311yescharacteristic, complemented
969#395C22×C7311yescharacteristic, complemented
970#394C22×C7311yescharacteristic
971#394C22×C7311yescharacteristic
972#394C22×C7311yescharacteristic
973#394C22×C7311yescharacteristic
974#394C22×C7311yescharacteristic
975#394C22×C7311yescharacteristic
976#394C22×C7311yescharacteristic, complemented
977#394C22×C7311yescharacteristic, complemented
978#392C22×C7311yescharacteristic
979#392C22×C7311yescharacteristic
980#392C22×C7311yescharacteristic
981#392C22×C7311yescharacteristic
982#392C22×C7311yescharacteristic
983#392C22×C7311yescharacteristic
984#392C22×C7311yescharacteristic
985#392C22×C7311yescharacteristic
986#392C22×C7311yescharacteristic, complemented
987#392C22×C7311yescharacteristic, complemented
988#390C22×C7311yescharacteristic
989#390C22×C7311yescharacteristic
990#390C22×C7311yescharacteristic
991#390C22×C7311yescharacteristic
992#390C22×C7311yescharacteristic
993#390C22×C7311yescharacteristic
994#390C22×C7311yescharacteristic
995#390C22×C7311yescharacteristic
996#390C22×C7311yescharacteristic, complemented
997#390C22×C7311yescharacteristic, complemented
998#390C22×C7311yescharacteristic, complemented
999#390C22×C7311yescharacteristic, complemented
1000#389C22×C7311yescharacteristic, complemented
1001#389C22×C7311yescharacteristic, complemented
1002#389C22×C7311yescharacteristic, complemented
1003#389C22×C7311yescharacteristic, complemented
1004#388C22×C7311yescharacteristic
1005#388C22×C7311yescharacteristic
1006#388C22×C7311yescharacteristic
1007#388C22×C7311yescharacteristic
1008#388C22×C7311yescharacteristic
1009#388C22×C7311yescharacteristic
1010#388C22×C7311yescharacteristic
1011#388C22×C7311yescharacteristic
1012#388C22×C7311yescharacteristic, complemented
1013#388C22×C7311yescharacteristic, complemented
1014#388C22×C7311yescharacteristic, complemented
1015#388C22×C7311yescharacteristic, complemented
1016#388C22×C7311yescharacteristic, complemented
1017#388C22×C7311yescharacteristic, complemented
1018#388C22×C7311yescharacteristic, complemented
1019#388C22×C7311yescharacteristic, complemented
1020#388C22×C7311yescharacteristic, complemented
1021#388C22×C7311yescharacteristic, complemented
1022#388C22×C7311yescharacteristic, complemented
1023#387C22×C7311yescharacteristic, complemented
1024#387C22×C7311yescharacteristic, complemented
1025#387C22×C7311yescharacteristic, complemented
1026#386C22×C7311yescharacteristic
1027#386C22×C7311yescharacteristic
1028#386C22×C7311yescharacteristic
1029#386C22×C7311yescharacteristic
1030#386C22×C7311yescharacteristic
1031#386C22×C7311yescharacteristic
1032#386C22×C7311yescharacteristic
1033#386C22×C7311yescharacteristic
1034#386C22×C7311yescharacteristic
1035#386C22×C7311yescharacteristic
1036#386C22×C7311yescharacteristic
1037#386C22×C7311yescharacteristic, complemented
1038#386C22×C7311yescharacteristic, complemented
1039#386C22×C7311yescharacteristic, complemented
1040#385C22×C7311yescharacteristic
1041#385C22×C7311yescharacteristic
1042#385C22×C7311yescharacteristic
1043#385C22×C7311yescharacteristic
1044#385C22×C7311yescharacteristic
1045#385C22×C7311yescharacteristic
1046#385C22×C7311yescharacteristic, complemented
1047#385C22×C7311yescharacteristic, complemented
1048#385C22×C7311yescharacteristic, complemented
1049#385C22×C7311yescharacteristic, complemented
1050#384C22×C7311yescharacteristic, complemented
1051#383C22×C7311yescharacteristic, complemented
1052C4×C4⋊C4C22×C7311yescharacteristic, complemented
1053C4×C4⋊C4C22×C7311yescharacteristic, complemented
1054C4×C4⋊C4C22×C7311yescharacteristic, complemented
1055C4×C4⋊C4C22×C7311yescharacteristic, complemented
1056C4×C22⋊C4C22×C7311yescharacteristic
1057C4×C22⋊C4C22×C7311yescharacteristic
1058C4×C22⋊C4C22×C7311yescharacteristic
1059C4×C22⋊C4C22×C7311yescharacteristic
1060C4×C22⋊C4C22×C7311yescharacteristic
1061C4×C22⋊C4C22×C7311yescharacteristic, complemented
1062C4×C22⋊C4C22×C7311yescharacteristic, complemented
1063C43C22×C7311yescharacteristic, complemented
1064C25C23×C7311yescharacteristic
1065C22×Q8C23×C7311yescharacteristic
1066C22×D4C23×C7311yescharacteristic
1067C22×D4C23×C7311yescharacteristic
1068C22×D4C23×C7311yescharacteristic
1069C22×D4C23×C7311yescharacteristic
1070C22×D4C23×C7311yescharacteristic
1071C22×D4C23×C7311yescharacteristic
1072C22×D4C23×C7311yescharacteristic
1073C22×D4C23×C7311yescharacteristic
1074C22×D4C23×C7311yescharacteristic
1075C22×D4C23×C7311yescharacteristic
1076C22×D4C23×C7311yescharacteristic
1077C22×D4C23×C7311yescharacteristic
1078C22×D4C23×C7311yescharacteristic
1079C22×D4C23×C7311yescharacteristic
1080C22×D4C23×C7311yescharacteristic
1081C22×D4C23×C7311yescharacteristic
1082C22×D4C23×C7311yescharacteristic
1083C22×D4C23×C7311yescharacteristic
1084C23×C4C23×C7311yescharacteristic
1085C23×C4C23×C7311yescharacteristic
1086C23×C4C23×C7311yescharacteristic
1087C23×C4C23×C7311yescharacteristic
1088C23×C4C23×C7311yescharacteristic
1089C23×C4C23×C7311yescharacteristic
1090C23×C4C23×C7311yescharacteristic
1091C23×C4C23×C7311yescharacteristic
1092C23×C4C23×C7311yescharacteristic
1093C23×C4C23×C7311yescharacteristic
1094C23×C4C23×C7311yescharacteristic
1095C23×C4C23×C7311yescharacteristic
1096#127—24no—
1097#126—24no—
1098#126—24no—
1099#126D4×C7318yescomplemented
1100#125—24no—
1101#124—24no—
1102#124—42no—
1103#123—24no—
1104#123—24no—
1105#123—24no—
1106#123—24no—
1107#123—24no—
1108#123—42no—
1109C22⋊Q8—24no—
1110C22⋊Q8—24no—
1111C22⋊Q8—42no—
1112#121—24no—
1113#121—24no—
1114#121—24no—
1115#121—24no—
1116#121—24no—
1117#121—24no—
1118#121—42no—
1119#121—42no—
1120#120—24no—
1121#120—24no—
1122#120—24no—
1123#120—42no—
1124C4×D4—24no—
1125C4×D4—24no—
1126C4×D4—24no—
1127C4×D4—24no—
1128C4×D4—24no—
1129C4×D4—24no—
1130C4×D4—24no—
1131C4×D4—42no—
1132C4×D4—42no—
1133C4×D4—42no—
1134C4×D4—42no—
1135C4×D4—42no—
1136#117—24no—
1137#117—24no—
1138#117—24no—
1139C2×C4⋊C4—24no—
1140C2×C4⋊C4C23×C7311yescharacteristic
1141C2×C4⋊C4C23×C7311yescharacteristic
1142C2×C4⋊C4C23×C7311yescharacteristic
1143C2×C4⋊C4C23×C7311yescharacteristic
1144C2×C4⋊C4C23×C7311yescharacteristic
1145C2×C4⋊C4C23×C7311yescharacteristic
1146C2×C4⋊C4C23×C7311yescharacteristic
1147C2×C4⋊C4C23×C7311yescharacteristic
1148C2×C4⋊C4C23×C7311yescharacteristic
1149C2×C4⋊C4C23×C7311yescharacteristic
1150C2×C4⋊C4C23×C7311yescharacteristic
1151C2×C4⋊C4C23×C7311yescharacteristic
1152C2×C4⋊C4C23×C7311yescharacteristic
1153C2×C4⋊C4C23×C7311yescharacteristic
1154C2×C4⋊C4C23×C7311yescharacteristic
1155C2×C4⋊C4C23×C7311yescharacteristic
1156C2×C4⋊C4C23×C7311yescharacteristic
1157C2×C4⋊C4C23×C7311yescharacteristic
1158C2×C4⋊C4C23×C7311yescharacteristic
1159C2×C4⋊C4C23×C7311yescharacteristic
1160C2×C4⋊C4C23×C7311yescharacteristic
1161C2×C4⋊C4C23×C7311yescharacteristic
1162C2×C4⋊C4C23×C7311yescharacteristic
1163C2×C4⋊C4C23×C7311yescharacteristic
1164C2×C4⋊C4C23×C7311yescharacteristic
1165C2×C4⋊C4C23×C7311yescharacteristic
1166C2×C4⋊C4C23×C7311yescharacteristic
1167C2×C4⋊C4C23×C7311yescharacteristic
1168C2×C4⋊C4C23×C7311yescharacteristic
1169C2×C22⋊C4—24no—
1170C2×C22⋊C4—24no—
1171C2×C22⋊C4—42no—
1172C2×C22⋊C4C23×C7311yescharacteristic
1173C2×C22⋊C4C23×C7311yescharacteristic
1174C2×C22⋊C4C23×C7311yescharacteristic
1175C2×C22⋊C4C23×C7311yescharacteristic
1176C2×C22⋊C4C23×C7311yescharacteristic
1177C2×C22⋊C4C23×C7311yescharacteristic
1178C2×C22⋊C4C23×C7311yescharacteristic
1179C2×C22⋊C4C23×C7311yescharacteristic
1180C2×C22⋊C4C23×C7311yescharacteristic
1181C2×C22⋊C4C23×C7311yescharacteristic
1182C2×C22⋊C4C23×C7311yescharacteristic
1183C2×C22⋊C4C23×C7311yescharacteristic
1184C2×C22⋊C4C23×C7311yescharacteristic
1185C2×C22⋊C4C23×C7311yescharacteristic
1186C2×C22⋊C4C23×C7311yescharacteristic
1187C2×C22⋊C4C23×C7311yescharacteristic
1188C2×C22⋊C4C23×C7311yescharacteristic
1189C2×C22⋊C4C23×C7311yescharacteristic
1190C2×C22⋊C4C23×C7311yescharacteristic
1191C2×C22⋊C4C23×C7311yescharacteristic
1192C2×C22⋊C4C23×C7311yescharacteristic
1193C2×C22⋊C4C23×C7311yescharacteristic
1194C2×C22⋊C4C23×C7311yescharacteristic
1195C2×C22⋊C4C23×C7311yescharacteristic
1196C2×C22⋊C4C23×C7311yescharacteristic
1197C2×C22⋊C4C23×C7311yescharacteristic
1198C2×C22⋊C4C23×C7311yescharacteristic
1199C2×C22⋊C4C23×C7311yescharacteristic
1200C2×C22⋊C4C23×C7311yescharacteristic
1201C2×C22⋊C4C23×C7311yescharacteristic
1202C2×C22⋊C4C23×C7311yescharacteristic
1203C2×C22⋊C4C23×C7311yescharacteristic
1204C2×C22⋊C4C23×C7311yescharacteristic
1205C2×C22⋊C4C23×C7311yescharacteristic
1206C2×C22⋊C4C23×C7311yescharacteristic
1207C2×C22⋊C4C23×C7311yescharacteristic
1208C2×C22⋊C4C23×C7311yescharacteristic
1209C2×C22⋊C4C23×C7311yescharacteristic
1210C2×C22⋊C4C23×C7311yescharacteristic
1211C2×C22⋊C4C23×C7311yescharacteristic
1212C2×C22⋊C4C23×C7311yescharacteristic
1213C2×C22⋊C4C23×C7311yescharacteristic
1214C2×C22⋊C4C23×C7311yescharacteristic
1215C2×C22⋊C4C23×C7311yescharacteristic
1216C2×C22⋊C4C23×C7311yescharacteristic
1217C2×C22⋊C4C23×C7311yescharacteristic
1218C2×C22⋊C4C23×C7311yescharacteristic
1219C2×C22⋊C4C23×C7311yescharacteristic
1220C2×C22⋊C4C23×C7311yescharacteristic
1221C2×C22⋊C4C23×C7311yescharacteristic
1222C2×C22⋊C4C23×C7311yescharacteristic
1223C2×C22⋊C4C23×C7311yescharacteristic
1224C2×C22⋊C4C23×C7311yescharacteristic
1225C2×C22⋊C4C23×C7311yescharacteristic
1226C2×C42C23×C7311yescharacteristic
1227C2×C42C23×C7311yescharacteristic
1228C2×C42C23×C7311yescharacteristic
1229C2×C42C23×C7311yescharacteristic
1230C2×C42C23×C7311yescharacteristic
1231C2×C42C23×C7311yescharacteristic
1232C2×C42C23×C7311yescharacteristic
1233C2×C42C23×C7311yescharacteristic
1234C2×C42C23×C7311yescharacteristic
1235C2×C42C23×C7311yescharacteristic
1236C2×C42C23×C7311yescharacteristic
1237C2×C42C23×C7311yescharacteristic
1238C2×C42C23×C7311yescharacteristic
1239C2×C42C23×C7311yescharacteristic
1240#95C23×C7311yescharacteristic
1241#95C23×C7311yescharacteristic
1242#95C23×C7311yescharacteristic
1243#95C23×C7311yescharacteristic
1244#95C23×C7311yescharacteristic
1245#95C23×C7311yescharacteristic
1246#95C23×C7311yescharacteristic
1247#95C23×C7311yescharacteristic
1248#95C23×C7311yescharacteristic
1249#95C23×C7311yescharacteristic
1250#95C23×C7311yescharacteristic
1251#95C23×C7311yescharacteristic
1252#95C23×C7311yescharacteristic
1253#95C23×C7311yescharacteristic
1254#95C23×C7311yescharacteristic
1255#95C23×C7311yescharacteristic
1256#95C23×C7311yescharacteristic
1257#95C23×C7311yescharacteristic
1258#95C23×C7311yescharacteristic
1259#95C23×C7311yescharacteristic
1260#95C23×C7311yescharacteristic
1261#95C23×C7311yescharacteristic
1262#95C23×C7311yescharacteristic
1263#95C23×C7311yescharacteristic
1264#95C23×C7311yescharacteristic
1265#95C23×C7311yescharacteristic
1266C24—22no—
1267C24—22no—
1268C24—22no—
1269C24—41no—
1270C24—41no—
1271C24—41no—
1272C24—41no—
1273C24C24×C7311yescharacteristic
1274C24C24×C7311yescharacteristic
1275C24C24×C7311yescharacteristic
1276C24C24×C7311yescharacteristic
1277C24C24×C7311yescharacteristic
1278C24C24×C7311yescharacteristic
1279C24C24×C7311yescharacteristic
1280C2×Q8—22no—
1281C2×Q8—41no—
1282C2×Q8—41no—
1283C2×D4—22no—
1284C2×D4—22no—
1285C2×D4—22no—
1286C2×D4—22no—
1287C2×D4—22no—
1288C2×D4—22no—
1289C2×D4—22no—
1290C2×D4—22no—
1291C2×D4—22no—
1292C2×D4—22no—
1293C2×D4—22no—
1294C2×D4—22no—
1295C2×D4—22no—
1296C2×D4—22no—
1297C2×D4—22no—
1298C2×D4—22no—
1299C2×D4—22no—
1300C2×D4—22no—
1301C2×D4—22no—
1302C2×D4—22no—
1303C2×D4—22no—
1304C2×D4—22no—
1305C2×D4—22no—
1306C2×D4—22no—
1307C2×D4—22no—
1308C2×D4—22no—
1309C2×D4—41no—
1310C2×D4—41no—
1311C2×D4—41no—
1312C2×D4—41no—
1313C2×D4—41no—
1314C2×D4—41no—
1315C2×D4—41no—
1316C2×D4—41no—
1317C2×D4—41no—
1318C2×D4—41no—
1319C2×D4—41no—
1320C2×D4—41no—
1321C2×D4—41no—
1322C2×D4—41no—
1323C2×D4—41no—
1324C2×D4—41no—
1325C2×D4—41no—
1326C2×D4—41no—
1327C2×D4—41no—
1328C2×D4—41no—
1329C2×D4—41no—
1330C2×D4—41no—
1331C2×D4—41no—
1332C2×D4—41no—
1333C2×D4—41no—
1334C2×D4—41no—
1335C2×D4—41no—
1336C2×D4#41×C7314yes—
1337C22×C4—22no—
1338C22×C4—22no—
1339C22×C4—22no—
1340C22×C4—22no—
1341C22×C4—22no—
1342C22×C4—22no—
1343C22×C4—22no—
1344C22×C4—22no—
1345C22×C4—22no—
1346C22×C4—22no—
1347C22×C4—22no—
1348C22×C4—22no—
1349C22×C4—22no—
1350C22×C4—22no—
1351C22×C4—22no—
1352C22×C4—22no—
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—
1362C22×C4—41no—
1363C22×C4—41no—
1364C22×C4—41no—
1365C22×C4—41no—
1366C22×C4—41no—
1367C22×C4—41no—
1368C22×C4—41no—
1369C22×C4—41no—
1370C22×C4—41no—
1371C22×C4—41no—
1372C22×C4—41no—
1373C22×C4C24×C7311yescharacteristic
1374C22×C4C24×C7311yescharacteristic
1375C22×C4C24×C7311yescharacteristic
1376C22×C4C24×C7311yescharacteristic
1377C22×C4C24×C7311yescharacteristic
1378C22×C4C24×C7311yescharacteristic
1379C22×C4C24×C7311yescharacteristic
1380C22×C4C24×C7311yescharacteristic
1381C22×C4C24×C7311yescharacteristic
1382C22×C4C24×C7311yescharacteristic
1383C22×C4C24×C7311yescharacteristic
1384C22×C4C24×C7311yescharacteristic
1385C22×C4C24×C7311yescharacteristic
1386C22×C4C24×C7311yescharacteristic
1387C22×C4C24×C7311yescharacteristic
1388C22×C4C24×C7311yescharacteristic
1389C22×C4C24×C7311yescharacteristic
1390C22×C4C24×C7311yescharacteristic
1391C22×C4C24×C7311yescharacteristic
1392C22×C4C24×C7311yescharacteristic
1393C22×C4C24×C7311yescharacteristic
1394C22×C4C24×C7311yescharacteristic
1395C22×C4C24×C7311yescharacteristic
1396C22×C4C24×C7311yescharacteristic
1397C4⋊C4—22no—
1398C4⋊C4—22no—
1399C4⋊C4—22no—
1400C4⋊C4—22no—
1401C4⋊C4—22no—
1402C4⋊C4—22no—
1403C4⋊C4—22no—
1404C4⋊C4—22no—
1405C4⋊C4—22no—
1406C4⋊C4—22no—
1407C4⋊C4—22no—
1408C4⋊C4—22no—
1409C4⋊C4—22no—
1410C4⋊C4—22no—
1411C4⋊C4—22no—
1412C4⋊C4—22no—
1413C4⋊C4—22no—
1414C4⋊C4—41no—
1415C4⋊C4—41no—
1416C4⋊C4—41no—
1417C4⋊C4—41no—
1418C4⋊C4—41no—
1419C4⋊C4—41no—
1420C4⋊C4—41no—
1421C4⋊C4—41no—
1422C4⋊C4—41no—
1423C4⋊C4C2×D4×C7314yes—
1424C4⋊C4C2×D4×C7314yes—
1425C4⋊C4C2×D4×C7314yes—
1426C22⋊C4—22no—
1427C22⋊C4—22no—
1428C22⋊C4—22no—
1429C22⋊C4—22no—
1430C22⋊C4—22no—
1431C22⋊C4—22no—
1432C22⋊C4—22no—
1433C22⋊C4—22no—
1434C22⋊C4—22no—
1435C22⋊C4—22no—
1436C22⋊C4—22no—
1437C22⋊C4—22no—
1438C22⋊C4—22no—
1439C22⋊C4—22no—
1440C22⋊C4—22no—
1441C22⋊C4—22no—
1442C22⋊C4—22no—
1443C22⋊C4—22no—
1444C22⋊C4—22no—
1445C22⋊C4—22no—
1446C22⋊C4—22no—
1447C22⋊C4—22no—
1448C22⋊C4—22no—
1449C22⋊C4—22no—
1450C22⋊C4—22no—
1451C22⋊C4—22no—
1452C22⋊C4—22no—
1453C22⋊C4—22no—
1454C22⋊C4—22no—
1455C22⋊C4—22no—
1456C22⋊C4—22no—
1457C22⋊C4—22no—
1458C22⋊C4—22no—
1459C22⋊C4—22no—
1460C22⋊C4—22no—
1461C22⋊C4—22no—
1462C22⋊C4—22no—
1463C22⋊C4—22no—
1464C22⋊C4—41no—
1465C22⋊C4—41no—
1466C22⋊C4—41no—
1467C22⋊C4—41no—
1468C22⋊C4—41no—
1469C22⋊C4—41no—
1470C22⋊C4—41no—
1471C22⋊C4—41no—
1472C22⋊C4—41no—
1473C22⋊C4—41no—
1474C22⋊C4—41no—
1475C22⋊C4—41no—
1476C22⋊C4C2×D4×C7314yes—
1477C22⋊C4C2×D4×C7314yes—
1478C22⋊C4C2×D4×C7314yes—
1479C22⋊C4#41×C7314yes—
1480C42—22no—
1481C42—22no—
1482C42—22no—
1483C42—22no—
1484C42—22no—
1485C42—22no—
1486C42—22no—
1487C42—22no—
1488C42—22no—
1489C42—41no—
1490C42—41no—
1491C42—41no—
1492C42—41no—
1493C42C2×D4×C7314yes—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—21no—
1538C23—21no—
1539C23—44no—
1540C23—44no—
1541C23—44no—
1542C23—82no—
1543C23—82no—
1544C23—82no—
1545C23—82no—
1546C23C22×D4×C7312yes—
1547C23C2×#41×C7312yes—
1548C23C2×#41×C7312yes—
1549C23C2×#41×C7312yes—
1550C23C25×C7311yescharacteristic
1551Q8—82no—
1552D4—44no—
1553D4—44no—
1554D4—44no—
1555D4—44no—
1556D4—44no—
1557D4—44no—
1558D4—44no—
1559D4—44no—
1560D4—44no—
1561D4—44no—
1562D4—44no—
1563D4—44no—
1564D4—82no—
1565D4—82no—
1566D4—82no—
1567D4—82no—
1568D4—82no—
1569D4—82no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—44no—
1632C2×C4—44no—
1633C2×C4—44no—
1634C2×C4—44no—
1635C2×C4—82no—
1636C2×C4—82no—
1637C2×C4—82no—
1638C2×C4—82no—
1639C2×C4—82no—
1640C2×C4—82no—
1641C2×C4—82no—
1642C2×C4—82no—
1643C2×C4C22×D4×C7312yes—
1644C2×C4C22×D4×C7312yes—
1645C2×C4C22×D4×C7312yes—
1646C2×C4C22×D4×C7312yes—
1647C2×C4C22×D4×C7312yes—
1648C2×C4C22×D4×C7312yes—
1649C2×C4C2×#41×C7312yes—
1650C2×C4C2×#41×C7312yes—
1651C2×C4C2×#41×C7312yes—
1652C2×C4H(5,𝔽2)×C7312yes—
1653C2×C4H(5,𝔽2)×C7312yes—
1654C22—22no—
1655C22—22no—
1656C22—22no—
1657C22—22no—
1658C22—22no—
1659C22—22no—
1660C22—22no—
1661C22—22no—
1662C22—22no—
1663C22—22no—
1664C22—22no—
1665C22—22no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—88no—
1704C22C23×D4×C7311yescharacteristic
1705C22C22×#41×C7311yescharacteristic
1706C22C22×#41×C7311yescharacteristic
1707C22C2×H(5,𝔽2)×C7311yescharacteristic
1708C22C2×H(5,𝔽2)×C7311yescharacteristic
1709C22#585×C7311yescharacteristic
1710C22#585×C7311yescharacteristic
1711C4—22no—
1712C4—22no—
1713C4—22no—
1714C4—22no—
1715C4—22no—
1716C4—22no—
1717C4—22no—
1718C4—22no—
1719C4—22no—
1720C4—22no—
1721C4—22no—
1722C4—41no—
1723C4—41no—
1724C4—41no—
1725C4—41no—
1726C4—41no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—41no—
1735C2—42no—
1736C2—42no—
1737C2—42no—
1738C2—42no—
1739C2—81no—
1740C2—81no—
1741C2—81no—
1742C2D4×#41×C7311yescharacteristic
1743C2D4×#41×C7311yescharacteristic
1744C2C73×#348111yescharacteristic
1745C2C73×#349411yescharacteristic
1746C2C73×#349811yescharacteristic
1747C2C73×#350511yescharacteristic
1748C2C73×#356011yescharacteristic
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. C2×#553×C73C2semidirect
2. C2×#551×C73C2semidirect
3. C73×#2720C2semidirect
4. C73×#2718C2semidirect
5. C73×#2673C2semidirect
6. C73×#2669C2semidirect
7. C73×#2598C2semidirect
8. C73×#2598C2semidirect
9. C73×#2559C2semidirect
10. C73×#2558C2semidirect
11. C73×#2555C2semidirect
12. C73×#2554C2semidirect
13. C73×#2540C2semidirect
14. C73×#2539C2semidirect
15. C73×#2479C2semidirect
16. C73×#2464C2semidirect
17. C73×#2461C2semidirect
18. C73×#2461C2semidirect
19. C73×#2456C2semidirect
20. C73×#2456C2semidirect
21. C73×#2455C2semidirect
22. C73×#2449C2semidirect
23. C73×#2424C2semidirect
24. C73×#2424C2semidirect
25. C73×#2363C2semidirect
26. C73×#2361C2semidirect
27. C73×#2358C2semidirect
28. C73×#2358C2semidirect
29. C4×#127×C73C2semidirect
30. C4×#126×C73C2semidirect
31. C73×#2293C2semidirect
37. C2×#126×C73C22semidirect
38. C2×#125×C73C22semidirect
40. C2×#124×C73C22semidirect
46. C2×#123×C73C22semidirect
49. C2×C22⋊Q8×C73C22semidirect
57. C2×#121×C73C22semidirect
70. C2×C4×D4×C73C22semidirect
71. C2×C4×D4×C73C22semidirect
72. C2×C4×D4×C73C22semidirect
73. C2×C4×D4×C73C22semidirect
76. C2×#117×C73C22semidirect
77. C22×C4⋊C4×C73C22semidirect
81. #400×C73C22semidirect
82. #400×C73C22semidirect
85. #399×C73C22semidirect
86. #399×C73C22semidirect
87. #398×C73C22semidirect
88. #398×C73C22semidirect
91. #396×C73C22semidirect
92. #396×C73C22semidirect
93. #395×C73C22semidirect
94. #395×C73C22semidirect
101. #394×C73C22semidirect
102. #394×C73C22semidirect
111. #392×C73C22semidirect
112. #392×C73C22semidirect
121. #390×C73C22semidirect
122. #390×C73C22semidirect
123. #390×C73C22semidirect
124. #390×C73C22semidirect
125. #389×C73C22semidirect
126. #389×C73C22semidirect
127. #389×C73C22semidirect
128. #389×C73C22semidirect
137. #388×C73C22semidirect
138. #388×C73C22semidirect
139. #388×C73C22semidirect
140. #388×C73C22semidirect
141. #388×C73C22semidirect
142. #388×C73C22semidirect
143. #388×C73C22semidirect
144. #388×C73C22semidirect
145. #388×C73C22semidirect
146. #388×C73C22semidirect
147. #388×C73C22semidirect
148. #387×C73C22semidirect
149. #387×C73C22semidirect
150. #387×C73C22semidirect
162. #386×C73C22semidirect
163. #386×C73C22semidirect
164. #386×C73C22semidirect
171. #385×C73C22semidirect
172. #385×C73C22semidirect
173. #385×C73C22semidirect
174. #385×C73C22semidirect
175. #384×C73C22semidirect
176. #383×C73C22semidirect
177. C4×C4⋊C4×C73C22semidirect
178. C4×C4⋊C4×C73C22semidirect
179. C4×C4⋊C4×C73C22semidirect
180. C4×C4⋊C4×C73C22semidirect
186. C4×C22⋊C4×C73C22semidirect
187. C4×C22⋊C4×C73C22semidirect
188. C43×C73C22semidirect
224. #126×C73D4semidirect
860. #59839C73direct (N × H)
875. C2×#553C2×C73semidirect
876. C2×#551C2×C73semidirect
877. #2720C2×C73semidirect
878. #2718C2×C73semidirect
879. #2673C2×C73semidirect
880. #2669C2×C73semidirect
881. #2598C2×C73semidirect
882. #2598C2×C73semidirect
883. #2559C2×C73semidirect
884. #2558C2×C73semidirect
885. #2555C2×C73semidirect
886. #2554C2×C73semidirect
887. #2540C2×C73semidirect
888. #2539C2×C73semidirect
889. #2479C2×C73semidirect
890. #2464C2×C73semidirect
891. #2461C2×C73semidirect
892. #2461C2×C73semidirect
893. #2456C2×C73semidirect
894. #2456C2×C73semidirect
895. #2455C2×C73semidirect
896. #2449C2×C73semidirect
897. #2424C2×C73semidirect
898. #2424C2×C73semidirect
899. #2363C2×C73semidirect
900. #2361C2×C73semidirect
901. #2358C2×C73semidirect
902. #2358C2×C73semidirect
903. C4×#127C2×C73semidirect
904. C4×#126C2×C73semidirect
905. #2293C2×C73semidirect
906. C73#59839direct (N × H)
912. C2×#126C22×C73semidirect
913. C2×#125C22×C73semidirect
915. C2×#124C22×C73semidirect
921. C2×#123C22×C73semidirect
924. C2×C22⋊Q8C22×C73semidirect
932. C2×#121C22×C73semidirect
945. C2×C4×D4C22×C73semidirect
946. C2×C4×D4C22×C73semidirect
947. C2×C4×D4C22×C73semidirect
948. C2×C4×D4C22×C73semidirect
951. C2×#117C22×C73semidirect
952. C22×C4⋊C4C22×C73semidirect
956. #400C22×C73semidirect
957. #400C22×C73semidirect
960. #399C22×C73semidirect
961. #399C22×C73semidirect
962. #398C22×C73semidirect
963. #398C22×C73semidirect
966. #396C22×C73semidirect
967. #396C22×C73semidirect
968. #395C22×C73semidirect
969. #395C22×C73semidirect
976. #394C22×C73semidirect
977. #394C22×C73semidirect
986. #392C22×C73semidirect
987. #392C22×C73semidirect
996. #390C22×C73semidirect
997. #390C22×C73semidirect
998. #390C22×C73semidirect
999. #390C22×C73semidirect
1000. #389C22×C73semidirect
1001. #389C22×C73semidirect
1002. #389C22×C73semidirect
1003. #389C22×C73semidirect
1012. #388C22×C73semidirect
1013. #388C22×C73semidirect
1014. #388C22×C73semidirect
1015. #388C22×C73semidirect
1016. #388C22×C73semidirect
1017. #388C22×C73semidirect
1018. #388C22×C73semidirect
1019. #388C22×C73semidirect
1020. #388C22×C73semidirect
1021. #388C22×C73semidirect
1022. #388C22×C73semidirect
1023. #387C22×C73semidirect
1024. #387C22×C73semidirect
1025. #387C22×C73semidirect
1037. #386C22×C73semidirect
1038. #386C22×C73semidirect
1039. #386C22×C73semidirect
1046. #385C22×C73semidirect
1047. #385C22×C73semidirect
1048. #385C22×C73semidirect
1049. #385C22×C73semidirect
1050. #384C22×C73semidirect
1051. #383C22×C73semidirect
1052. C4×C4⋊C4C22×C73semidirect
1053. C4×C4⋊C4C22×C73semidirect
1054. C4×C4⋊C4C22×C73semidirect
1055. C4×C4⋊C4C22×C73semidirect
1061. C4×C22⋊C4C22×C73semidirect
1062. C4×C22⋊C4C22×C73semidirect
1063. C43C22×C73semidirect
1099. #126D4×C73semidirect

Maximal subgroups

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

subgroupindex
C2×#553×C732
C2×#551×C732
C73×#27202
C73×#27182
C73×#26732
C73×#26692
C73×#25982
C73×#25592
C73×#25582
C73×#25552
C73×#25542
C73×#25402
C73×#25392
C73×#24792
C73×#24642
C73×#24612
C73×#24562
C73×#24552
C73×#24492
C73×#24242
C73×#23632
C73×#23612
C73×#23582
C4×#127×C732
C4×#126×C732
C73×#22932
#5983973