Finite Group Databasebeta

← C73×#59407 #32968811

Subgroups — C73×#59407 #32968811

Order 18688.

2730 conjugacy classes of subgroups.

The subgroup lattice has 1770 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#553×C73C211yesmaximal, characteristic, complemented
2C2×#546×C73C211yesmaximal, characteristic, complemented
3C73×#2707C211yesmaximal, characteristic, complemented
4C73×#2702C211yesmaximal, characteristic, complemented
5C73×#2699C211yesmaximal, characteristic, complemented
6C73×#2697C211yesmaximal, characteristic, complemented
7C73×#2579C211yesmaximal, characteristic, complemented
8C73×#2559C211yesmaximal, characteristic, complemented
9C73×#2557C211yesmaximal, characteristic, complemented
10C73×#2556C211yesmaximal, characteristic, complemented
11C73×#2554C211yesmaximal, characteristic, complemented
12C73×#2534C211yesmaximal, characteristic, complemented
13C73×#2474C211yesmaximal, characteristic, complemented
14C73×#2468C211yesmaximal, characteristic, complemented
15C73×#2456C211yesmaximal, characteristic, complemented
16C73×#2430C211yesmaximal, characteristic, complemented
17C73×#2425C211yesmaximal, characteristic, complemented
18C73×#2425C211yesmaximal, characteristic, complemented
19C73×#2424C211yesmaximal, characteristic, complemented
20C73×#2424C211yesmaximal, characteristic, complemented
21C73×#2419C211yesmaximal, characteristic, complemented
22C73×#2418C211yesmaximal, characteristic, complemented
23C73×#2418C211yesmaximal, characteristic, complemented
24C73×#2410C211yesmaximal, characteristic, complemented
25C73×#2364C211yesmaximal, characteristic, complemented
26C73×#2342C211yesmaximal, characteristic, complemented
27C73×#2339C211yesmaximal, characteristic, complemented
28D4×C22⋊C4×C73C211yesmaximal, characteristic, complemented
29C4×#121×C73C211yesmaximal, characteristic, complemented
30C4×#121×C73C211yesmaximal, characteristic, complemented
31C2×#388×C73C211yesmaximal, characteristic, complemented
32C22×#41×C73C2211yescharacteristic
33C23×D4×C73C2211yescharacteristic
34#553×C73—28no—
35#546×C73—28no—
36C2×#126×C73C2211yescharacteristic, complemented
37C2×#126×C73C2211yescharacteristic, complemented
38C2×#125×C73C2211yescharacteristic, complemented
39C2×#124×C73C2211yescharacteristic
40C2×#123×C73C2211yescharacteristic
41C2×#123×C73C2211yescharacteristic
42C2×#123×C73C2211yescharacteristic, complemented
43C2×#123×C73C2211yescharacteristic, complemented
44C2×#123×C73C2211yescharacteristic, complemented
45C2×#123×C73C2211yescharacteristic, complemented
46C2×C22⋊Q8×C73C2211yescharacteristic
47C2×#121×C73C2211yescharacteristic
48C2×#121×C73C2211yescharacteristic
49C2×#121×C73C2211yescharacteristic
50C2×#121×C73C2211yescharacteristic
51C2×#121×C73C2211yescharacteristic
52C2×#121×C73C2211yescharacteristic
53C2×#121×C73C2211yescharacteristic, complemented
54C2×#121×C73C2211yescharacteristic, complemented
55C2×#120×C73C2211yescharacteristic
56C2×#120×C73C2211yescharacteristic
57C2×#120×C73C2211yescharacteristic
58C2×#120×C73C2211yescharacteristic
59C2×C4×D4×C73C2211yescharacteristic
60C2×C4×D4×C73C2211yescharacteristic
61C2×C4×D4×C73C2211yescharacteristic
62C2×C4×D4×C73C2211yescharacteristic
63C2×C4×D4×C73C2211yescharacteristic, complemented
64C2×C4×D4×C73C2211yescharacteristic, complemented
65C2×C4×D4×C73C2211yescharacteristic, complemented
66C2×C4×D4×C73C2211yescharacteristic, complemented
67C2×C4×D4×C73C2211yescharacteristic, complemented
68C2×C4×D4×C73C2211yescharacteristic, complemented
69C2×#117×C73C2211yescharacteristic, complemented
70C22×C4⋊C4×C73C2211yescharacteristic, complemented
71C22×C22⋊C4×C73C2211yescharacteristic
72C22×C22⋊C4×C73C2211yescharacteristic
73C22×C22⋊C4×C73C2211yescharacteristic
74C22×C22⋊C4×C73C2211yescharacteristic
75C22×C22⋊C4×C73C2211yescharacteristic
76C22×C42×C73C2211yescharacteristic, complemented
77#400×C73C2211yescharacteristic, complemented
78#399×C73C2211yescharacteristic
79#398×C73C2211yescharacteristic, complemented
80#398×C73C2211yescharacteristic, complemented
81#398×C73C2211yescharacteristic, complemented
82#398×C73C2211yescharacteristic, complemented
83#397×C73C2211yescharacteristic, complemented
84#397×C73C2211yescharacteristic, complemented
85#397×C73C2211yescharacteristic, complemented
86#397×C73C2211yescharacteristic, complemented
87#396×C73C2211yescharacteristic
88#396×C73C2211yescharacteristic, complemented
89#396×C73C2211yescharacteristic, complemented
90#396×C73C2211yescharacteristic, complemented
91#396×C73C2211yescharacteristic, complemented
92#396×C73C2211yescharacteristic, complemented
93#395×C73C2211yescharacteristic, complemented
94#394×C73C2211yescharacteristic
95#394×C73C2211yescharacteristic
96#394×C73C2211yescharacteristic
97#394×C73C2211yescharacteristic
98#394×C73C2211yescharacteristic
99#394×C73C2211yescharacteristic
100#394×C73C2211yescharacteristic, complemented
101#394×C73C2211yescharacteristic, complemented
102#394×C73C2211yescharacteristic, complemented
103#394×C73C2211yescharacteristic, complemented
104#393×C73C2211yescharacteristic, complemented
105#392×C73C2211yescharacteristic
106#392×C73C2211yescharacteristic
107#392×C73C2211yescharacteristic, complemented
108#392×C73C2211yescharacteristic, complemented
109#391×C73C2211yescharacteristic, complemented
110#391×C73C2211yescharacteristic, complemented
111#390×C73C2211yescharacteristic
112#390×C73C2211yescharacteristic
113#390×C73C2211yescharacteristic, complemented
114#390×C73C2211yescharacteristic, complemented
115#390×C73C2211yescharacteristic, complemented
116#389×C73C2211yescharacteristic, complemented
117#389×C73C2211yescharacteristic, complemented
118#389×C73C2211yescharacteristic, complemented
119#388×C73C2211yescharacteristic
120#388×C73C2211yescharacteristic
121#388×C73C2211yescharacteristic
122#388×C73C2211yescharacteristic
123#388×C73C2211yescharacteristic
124#388×C73C2211yescharacteristic
125#388×C73C2211yescharacteristic
126#388×C73C2211yescharacteristic, complemented
127#388×C73C2211yescharacteristic, complemented
128#388×C73C2211yescharacteristic, complemented
129#388×C73C2211yescharacteristic, complemented
130#388×C73C2211yescharacteristic, complemented
131#388×C73C2211yescharacteristic, complemented
132#388×C73C2211yescharacteristic, complemented
133#388×C73C2211yescharacteristic, complemented
134#388×C73C2211yescharacteristic, complemented
135#388×C73C2211yescharacteristic, complemented
136#388×C73C2211yescharacteristic, complemented
137#387×C73C2211yescharacteristic, complemented
138#387×C73C2211yescharacteristic, complemented
139#387×C73C2211yescharacteristic, complemented
140#387×C73C2211yescharacteristic, complemented
141#386×C73C2211yescharacteristic
142#386×C73C2211yescharacteristic
143#386×C73C2211yescharacteristic
144#386×C73C2211yescharacteristic
145#386×C73C2211yescharacteristic
146#386×C73C2211yescharacteristic
147#386×C73C2211yescharacteristic
148#386×C73C2211yescharacteristic
149#386×C73C2211yescharacteristic
150#386×C73C2211yescharacteristic, complemented
151#386×C73C2211yescharacteristic, complemented
152#386×C73C2211yescharacteristic, complemented
153#386×C73C2211yescharacteristic, complemented
154#386×C73C2211yescharacteristic, complemented
155#386×C73C2211yescharacteristic, complemented
156#386×C73C2211yescharacteristic, complemented
157#386×C73C2211yescharacteristic, complemented
158#386×C73C2211yescharacteristic, complemented
159#385×C73C2211yescharacteristic
160#385×C73C2211yescharacteristic, complemented
161#385×C73C2211yescharacteristic, complemented
162#385×C73C2211yescharacteristic, complemented
163#385×C73C2211yescharacteristic, complemented
164#385×C73C2211yescharacteristic, complemented
165#385×C73C2211yescharacteristic, complemented
166#385×C73C2211yescharacteristic, complemented
167#381×C73C2211yescharacteristic, complemented
168#381×C73C2211yescharacteristic, complemented
169#381×C73C2211yescharacteristic, complemented
170#380×C73C2211yescharacteristic
171#380×C73C2211yescharacteristic, complemented
172#380×C73C2211yescharacteristic, complemented
173#380×C73C2211yescharacteristic, complemented
174#380×C73C2211yescharacteristic, complemented
175#379×C73C2211yescharacteristic
176#379×C73C2211yescharacteristic
177#379×C73C2211yescharacteristic
178C4×C4⋊C4×C73C2211yescharacteristic, complemented
179C4×C4⋊C4×C73C2211yescharacteristic, complemented
180C4×C22⋊C4×C73C2211yescharacteristic
181C4×C22⋊C4×C73C2211yescharacteristic, complemented
182C4×C22⋊C4×C73C2211yescharacteristic, complemented
183C4×C22⋊C4×C73C2211yescharacteristic, complemented
184C4×C22⋊C4×C73C2211yescharacteristic, complemented
185C4×C22⋊C4×C73C2211yescharacteristic, complemented
186C2×#95×C73C2211yescharacteristic, complemented
187C2×#95×C73C2211yescharacteristic, complemented
188C2×#95×C73C2211yescharacteristic, complemented
189C25×C73C2311yescharacteristic
190C25×C73C2311yescharacteristic
191C2×#41×C73—24no—
192C2×#41×C73—24no—
193C2×#41×C73—42no—
194C22×Q8×C73C2311yescharacteristic
195C22×D4×C73—24no—
196C22×D4×C73—24no—
197C22×D4×C73—42no—
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
209C22×D4×C73C2311yescharacteristic
210C22×D4×C73C2311yescharacteristic
211C22×D4×C73C2311yescharacteristic
212C22×D4×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
221C23×C4×C73C2311yescharacteristic
222C23×C4×C73C2311yescharacteristic
223C23×C4×C73C2311yescharacteristic
224C23×C4×C73C2311yescharacteristic
225C23×C4×C73C2311yescharacteristic
226C23×C4×C73C2311yescharacteristic
227C23×C4×C73C2311yescharacteristic
228#126×C73—24no—
229#126×C73—24no—
230#125×C73—24no—
231#124×C73—24no—
232#123×C73—24no—
233#123×C73—24no—
234#123×C73—24no—
235#123×C73—24no—
236#123×C73—42no—
237#123×C73—42no—
238C22⋊Q8×C73—24no—
239#121×C73—24no—
240#121×C73—24no—
241#121×C73—24no—
242#121×C73—24no—
243#121×C73—24no—
244#121×C73—24no—
245#121×C73—24no—
246#121×C73D418yescomplemented
247#120×C73—24no—
248#120×C73—24no—
249#120×C73—42no—
250#120×C73—42no—
251C4×D4×C73—24no—
252C4×D4×C73—24no—
253C4×D4×C73—24no—
254C4×D4×C73—24no—
255C4×D4×C73—24no—
256C4×D4×C73—24no—
257C4×D4×C73—42no—
258C4×D4×C73—42no—
259C4×D4×C73—42no—
260C4×D4×C73—42no—
261#117×C73—24no—
262C2×C4⋊C4×C73—24no—
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×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×C22⋊C4×C73—24no—
290C2×C22⋊C4×C73—24no—
291C2×C22⋊C4×C73—24no—
292C2×C22⋊C4×C73—24no—
293C2×C22⋊C4×C73—42no—
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×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×C42×C73—42no—
349C2×C42×C73C2311yescharacteristic
350C2×C42×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
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
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—22no—
395C24×C73—22no—
396C24×C73—22no—
397C24×C73—22no—
398C24×C73—41no—
399C24×C73—41no—
400C24×C73—41no—
401C24×C73—41no—
402C24×C73—41no—
403C24×C73—41no—
404C24×C73—41no—
405C24×C73C2411yescharacteristic
406C24×C73C2411yescharacteristic
407C24×C73C2411yescharacteristic
408C24×C73C2411yescharacteristic
409C24×C73C2411yescharacteristic
410C24×C73C2411yescharacteristic
411C24×C73C2411yescharacteristic
412#41×C73—416no—
413C2×Q8×C73—22no—
414C2×Q8×C73—22no—
415C2×Q8×C73—41no—
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—22no—
435C2×D4×C73—22no—
436C2×D4×C73—22no—
437C2×D4×C73—22no—
438C2×D4×C73—22no—
439C2×D4×C73—22no—
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—416no—
458C2×D4×C73C2×D414yes—
459C2×D4×C73C2×D414yes—
460C2×D4×C73C2×D414yes—
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—22no—
479C22×C4×C73—22no—
480C22×C4×C73—22no—
481C22×C4×C73—22no—
482C22×C4×C73—22no—
483C22×C4×C73—22no—
484C22×C4×C73—22no—
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×C73—41no—
499C22×C4×C73—41no—
500C22×C4×C73—41no—
501C22×C4×C73—41no—
502C22×C4×C73—41no—
503C22×C4×C73—41no—
504C22×C4×C73—41no—
505C22×C4×C73—41no—
506C22×C4×C73C2×D414yes—
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
522C22×C4×C73C2411yescharacteristic
523C22×C4×C73C2411yescharacteristic
524C22×C4×C73C2411yescharacteristic
525C22×C4×C73C2411yescharacteristic
526C22×C4×C73C2411yescharacteristic
527C22×C4×C73C2411yescharacteristic
528C22×C4×C73C2411yescharacteristic
529C22×C4×C73C2411yescharacteristic
530C22×C4×C73C2411yescharacteristic
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—22no—
540C4⋊C4×C73—22no—
541C4⋊C4×C73—22no—
542C4⋊C4×C73—22no—
543C4⋊C4×C73—22no—
544C4⋊C4×C73—22no—
545C4⋊C4×C73—22no—
546C4⋊C4×C73—41no—
547C4⋊C4×C73—41no—
548C4⋊C4×C73—41no—
549C4⋊C4×C73—41no—
550C4⋊C4×C73—41no—
551C4⋊C4×C73—41no—
552C4⋊C4×C73—41no—
553C4⋊C4×C73—41no—
554C4⋊C4×C73—41no—
555C4⋊C4×C73—41no—
556C4⋊C4×C73C2×D414yes—
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—22no—
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×C73—41no—
602C22⋊C4×C73—41no—
603C22⋊C4×C73—41no—
604C22⋊C4×C73—41no—
605C22⋊C4×C73—41no—
606C22⋊C4×C73—41no—
607C22⋊C4×C73—41no—
608C22⋊C4×C73C2×D414yes—
609C22⋊C4×C73C2×D414yes—
610C22⋊C4×C73#4114yescomplemented
611C42×C73—22no—
612C42×C73—22no—
613C42×C73—22no—
614C42×C73—22no—
615C42×C73—22no—
616C42×C73—22no—
617C42×C73—41no—
618C42×C73—41no—
619C42×C73—41no—
620C42×C73—41no—
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—44no—
664C23×C73—44no—
665C23×C73—44no—
666C23×C73—44no—
667C23×C73—44no—
668C23×C73—44no—
669C23×C73—44no—
670C23×C73—82no—
671C23×C73—82no—
672C23×C73—82no—
673C23×C73—82no—
674C23×C73—82no—
675C23×C73—82no—
676C23×C73—82no—
677C23×C73C22×D412yes—
678C23×C73C22×D412yes—
679C23×C73C22×D412yes—
680C23×C73C2×#4112yes—
681C23×C73C2×#4112yes—
682C23×C73C2×#4112yes—
683C23×C73H(5,𝔽2)12yes—
684C23×C73C2511yescharacteristic
685Q8×C73—44no—
686D4×C73—28no—
687D4×C73—28no—
688D4×C73—28no—
689D4×C73—44no—
690D4×C73—44no—
691D4×C73—44no—
692D4×C73—44no—
693D4×C73—44no—
694D4×C73—44no—
695D4×C73—44no—
696D4×C73—44no—
697D4×C73—82no—
698D4×C73—82no—
699D4×C73—82no—
700D4×C73—82no—
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—21no—
757C2×C4×C73—21no—
758C2×C4×C73—21no—
759C2×C4×C73—21no—
760C2×C4×C73—21no—
761C2×C4×C73—21no—
762C2×C4×C73—21no—
763C2×C4×C73—21no—
764C2×C4×C73—21no—
765C2×C4×C73—44no—
766C2×C4×C73—44no—
767C2×C4×C73—44no—
768C2×C4×C73—44no—
769C2×C4×C73—44no—
770C2×C4×C73—44no—
771C2×C4×C73—44no—
772C2×C4×C73—44no—
773C2×C4×C73—44no—
774C2×C4×C73—82no—
775C2×C4×C73—82no—
776C2×C4×C73—82no—
777C2×C4×C73—82no—
778C2×C4×C73—82no—
779C2×C4×C73—82no—
780C2×C4×C73C22×D412yes—
781C2×C4×C73C22×D412yes—
782C2×C4×C73C22×D412yes—
783C2×C4×C73C22×D412yes—
784C2×C4×C73C2×#4112yes—
785C2×C4×C73C2×#4112yes—
786C2×C4×C73C2×#4112yes—
787C2×C4×C73H(5,𝔽2)12yes—
788C22×C73—22no—
789C22×C73—22no—
790C22×C73—22no—
791C22×C73—22no—
792C22×C73—22no—
793C22×C73—22no—
794C22×C73—22no—
795C22×C73—22no—
796C22×C73—22no—
797C22×C73—22no—
798C22×C73—22no—
799C22×C73—22no—
800C22×C73—22no—
801C22×C73—22no—
802C22×C73—22no—
803C22×C73—22no—
804C22×C73—22no—
805C22×C73—22no—
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—41no—
829C22×C73—41no—
830C22×C73—41no—
831C22×C73—41no—
832C22×C73—41no—
833C22×C73—41no—
834C22×C73—41no—
835C22×C73—41no—
836C22×C73—88no—
837C22×C73—88no—
838C22×C73#54614yes—
839C22×C73C23×D411yescharacteristic
840C22×C73C22×#4111yescharacteristic
841C22×C73C22×#4111yescharacteristic
842C22×C73C2×H(5,𝔽2)11yescharacteristic
843C22×C73C2×H(5,𝔽2)11yescharacteristic
844C22×C73#58511yescharacteristic
845C22×C73#58511yescharacteristic
846C4×C73—22no—
847C4×C73—22no—
848C4×C73—22no—
849C4×C73—22no—
850C4×C73—22no—
851C4×C73—22no—
852C4×C73—22no—
853C4×C73—22no—
854C4×C73—41no—
855C4×C73—41no—
856C4×C73—41no—
857C4×C73—41no—
858C4×C73—41no—
859C4×C73—41no—
860C4×C73—41no—
861C4×C73—41no—
862C4×C73—41no—
863C4×C73—41no—
864C4×C73—41no—
865C4×C73—41no—
866C4×C73—41no—
867C4×C73—41no—
868C4×C73—41no—
869C4×C73—41no—
870#59407C7311yesmaximal, characteristic, direct product factor, Sylow
871C2×C73—24no—
872C2×C73—42no—
873C2×C73—42no—
874C2×C73—42no—
875C2×C73—42no—
876C2×C73—81no—
877C2×C73—81no—
878C2×C73C2×#54611yescharacteristic
879C2×C73D4×#4111yescharacteristic
880C2×C73#347511yescharacteristic
881C2×C73#349611yescharacteristic
882C2×C73#351311yescharacteristic
883C2×C73#351911yescharacteristic
884C2×C73#356011yescharacteristic
885C2×#553C2×C7311yescharacteristic, complemented
886C2×#546C2×C7311yescharacteristic, complemented
887#2707C2×C7311yescharacteristic, complemented
888#2702C2×C7311yescharacteristic, complemented
889#2699C2×C7311yescharacteristic, complemented
890#2697C2×C7311yescharacteristic, complemented
891#2579C2×C7311yescharacteristic, complemented
892#2559C2×C7311yescharacteristic, complemented
893#2557C2×C7311yescharacteristic, complemented
894#2556C2×C7311yescharacteristic, complemented
895#2554C2×C7311yescharacteristic, complemented
896#2534C2×C7311yescharacteristic, complemented
897#2474C2×C7311yescharacteristic, complemented
898#2468C2×C7311yescharacteristic, complemented
899#2456C2×C7311yescharacteristic, complemented
900#2430C2×C7311yescharacteristic, complemented
901#2425C2×C7311yescharacteristic, complemented
902#2425C2×C7311yescharacteristic, complemented
903#2424C2×C7311yescharacteristic, complemented
904#2424C2×C7311yescharacteristic, complemented
905#2419C2×C7311yescharacteristic, complemented
906#2418C2×C7311yescharacteristic, complemented
907#2418C2×C7311yescharacteristic, complemented
908#2410C2×C7311yescharacteristic, complemented
909#2364C2×C7311yescharacteristic, complemented
910#2342C2×C7311yescharacteristic, complemented
911#2339C2×C7311yescharacteristic, complemented
912D4×C22⋊C4C2×C7311yescharacteristic, complemented
913C4×#121C2×C7311yescharacteristic, complemented
914C4×#121C2×C7311yescharacteristic, complemented
915C2×#388C2×C7311yescharacteristic, complemented
916C73#5940711yescharacteristic, direct product factor, Sylow
917C22×#41C22×C7311yescharacteristic
918C23×D4C22×C7311yescharacteristic
919#553—28no—
920#546—28no—
921C2×#126C22×C7311yescharacteristic, complemented
922C2×#126C22×C7311yescharacteristic, complemented
923C2×#125C22×C7311yescharacteristic, complemented
924C2×#124C22×C7311yescharacteristic
925C2×#123C22×C7311yescharacteristic
926C2×#123C22×C7311yescharacteristic
927C2×#123C22×C7311yescharacteristic, complemented
928C2×#123C22×C7311yescharacteristic, complemented
929C2×#123C22×C7311yescharacteristic, complemented
930C2×#123C22×C7311yescharacteristic, complemented
931C2×C22⋊Q8C22×C7311yescharacteristic
932C2×#121C22×C7311yescharacteristic
933C2×#121C22×C7311yescharacteristic
934C2×#121C22×C7311yescharacteristic
935C2×#121C22×C7311yescharacteristic
936C2×#121C22×C7311yescharacteristic
937C2×#121C22×C7311yescharacteristic
938C2×#121C22×C7311yescharacteristic, complemented
939C2×#121C22×C7311yescharacteristic, complemented
940C2×#120C22×C7311yescharacteristic
941C2×#120C22×C7311yescharacteristic
942C2×#120C22×C7311yescharacteristic
943C2×#120C22×C7311yescharacteristic
944C2×C4×D4C22×C7311yescharacteristic
945C2×C4×D4C22×C7311yescharacteristic
946C2×C4×D4C22×C7311yescharacteristic
947C2×C4×D4C22×C7311yescharacteristic
948C2×C4×D4C22×C7311yescharacteristic, complemented
949C2×C4×D4C22×C7311yescharacteristic, complemented
950C2×C4×D4C22×C7311yescharacteristic, complemented
951C2×C4×D4C22×C7311yescharacteristic, complemented
952C2×C4×D4C22×C7311yescharacteristic, complemented
953C2×C4×D4C22×C7311yescharacteristic, complemented
954C2×#117C22×C7311yescharacteristic, complemented
955C22×C4⋊C4C22×C7311yescharacteristic, complemented
956C22×C22⋊C4C22×C7311yescharacteristic
957C22×C22⋊C4C22×C7311yescharacteristic
958C22×C22⋊C4C22×C7311yescharacteristic
959C22×C22⋊C4C22×C7311yescharacteristic
960C22×C22⋊C4C22×C7311yescharacteristic
961C22×C42C22×C7311yescharacteristic, complemented
962#400C22×C7311yescharacteristic, complemented
963#399C22×C7311yescharacteristic
964#398C22×C7311yescharacteristic, complemented
965#398C22×C7311yescharacteristic, complemented
966#398C22×C7311yescharacteristic, complemented
967#398C22×C7311yescharacteristic, complemented
968#397C22×C7311yescharacteristic, complemented
969#397C22×C7311yescharacteristic, complemented
970#397C22×C7311yescharacteristic, complemented
971#397C22×C7311yescharacteristic, complemented
972#396C22×C7311yescharacteristic
973#396C22×C7311yescharacteristic, complemented
974#396C22×C7311yescharacteristic, complemented
975#396C22×C7311yescharacteristic, complemented
976#396C22×C7311yescharacteristic, complemented
977#396C22×C7311yescharacteristic, complemented
978#395C22×C7311yescharacteristic, complemented
979#394C22×C7311yescharacteristic
980#394C22×C7311yescharacteristic
981#394C22×C7311yescharacteristic
982#394C22×C7311yescharacteristic
983#394C22×C7311yescharacteristic
984#394C22×C7311yescharacteristic
985#394C22×C7311yescharacteristic, complemented
986#394C22×C7311yescharacteristic, complemented
987#394C22×C7311yescharacteristic, complemented
988#394C22×C7311yescharacteristic, complemented
989#393C22×C7311yescharacteristic, complemented
990#392C22×C7311yescharacteristic
991#392C22×C7311yescharacteristic
992#392C22×C7311yescharacteristic, complemented
993#392C22×C7311yescharacteristic, complemented
994#391C22×C7311yescharacteristic, complemented
995#391C22×C7311yescharacteristic, complemented
996#390C22×C7311yescharacteristic
997#390C22×C7311yescharacteristic
998#390C22×C7311yescharacteristic, complemented
999#390C22×C7311yescharacteristic, complemented
1000#390C22×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, complemented
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#387C22×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, complemented
1036#386C22×C7311yescharacteristic, complemented
1037#386C22×C7311yescharacteristic, complemented
1038#386C22×C7311yescharacteristic, complemented
1039#386C22×C7311yescharacteristic, complemented
1040#386C22×C7311yescharacteristic, complemented
1041#386C22×C7311yescharacteristic, complemented
1042#386C22×C7311yescharacteristic, complemented
1043#386C22×C7311yescharacteristic, complemented
1044#385C22×C7311yescharacteristic
1045#385C22×C7311yescharacteristic, complemented
1046#385C22×C7311yescharacteristic, complemented
1047#385C22×C7311yescharacteristic, complemented
1048#385C22×C7311yescharacteristic, complemented
1049#385C22×C7311yescharacteristic, complemented
1050#385C22×C7311yescharacteristic, complemented
1051#385C22×C7311yescharacteristic, complemented
1052#381C22×C7311yescharacteristic, complemented
1053#381C22×C7311yescharacteristic, complemented
1054#381C22×C7311yescharacteristic, complemented
1055#380C22×C7311yescharacteristic
1056#380C22×C7311yescharacteristic, complemented
1057#380C22×C7311yescharacteristic, complemented
1058#380C22×C7311yescharacteristic, complemented
1059#380C22×C7311yescharacteristic, complemented
1060#379C22×C7311yescharacteristic
1061#379C22×C7311yescharacteristic
1062#379C22×C7311yescharacteristic
1063C4×C4⋊C4C22×C7311yescharacteristic, complemented
1064C4×C4⋊C4C22×C7311yescharacteristic, complemented
1065C4×C22⋊C4C22×C7311yescharacteristic
1066C4×C22⋊C4C22×C7311yescharacteristic, complemented
1067C4×C22⋊C4C22×C7311yescharacteristic, complemented
1068C4×C22⋊C4C22×C7311yescharacteristic, complemented
1069C4×C22⋊C4C22×C7311yescharacteristic, complemented
1070C4×C22⋊C4C22×C7311yescharacteristic, complemented
1071C2×#95C22×C7311yescharacteristic, complemented
1072C2×#95C22×C7311yescharacteristic, complemented
1073C2×#95C22×C7311yescharacteristic, complemented
1074C25C23×C7311yescharacteristic
1075C25C23×C7311yescharacteristic
1076C2×#41—24no—
1077C2×#41—24no—
1078C2×#41—42no—
1079C22×Q8C23×C7311yescharacteristic
1080C22×D4—24no—
1081C22×D4—24no—
1082C22×D4—42no—
1083C22×D4C23×C7311yescharacteristic
1084C22×D4C23×C7311yescharacteristic
1085C22×D4C23×C7311yescharacteristic
1086C22×D4C23×C7311yescharacteristic
1087C22×D4C23×C7311yescharacteristic
1088C22×D4C23×C7311yescharacteristic
1089C22×D4C23×C7311yescharacteristic
1090C22×D4C23×C7311yescharacteristic
1091C22×D4C23×C7311yescharacteristic
1092C22×D4C23×C7311yescharacteristic
1093C22×D4C23×C7311yescharacteristic
1094C22×D4C23×C7311yescharacteristic
1095C22×D4C23×C7311yescharacteristic
1096C22×D4C23×C7311yescharacteristic
1097C22×D4C23×C7311yescharacteristic
1098C23×C4C23×C7311yescharacteristic
1099C23×C4C23×C7311yescharacteristic
1100C23×C4C23×C7311yescharacteristic
1101C23×C4C23×C7311yescharacteristic
1102C23×C4C23×C7311yescharacteristic
1103C23×C4C23×C7311yescharacteristic
1104C23×C4C23×C7311yescharacteristic
1105C23×C4C23×C7311yescharacteristic
1106C23×C4C23×C7311yescharacteristic
1107C23×C4C23×C7311yescharacteristic
1108C23×C4C23×C7311yescharacteristic
1109C23×C4C23×C7311yescharacteristic
1110C23×C4C23×C7311yescharacteristic
1111C23×C4C23×C7311yescharacteristic
1112C23×C4C23×C7311yescharacteristic
1113#126—24no—
1114#126—24no—
1115#125—24no—
1116#124—24no—
1117#123—24no—
1118#123—24no—
1119#123—24no—
1120#123—24no—
1121#123—42no—
1122#123—42no—
1123C22⋊Q8—24no—
1124#121—24no—
1125#121—24no—
1126#121—24no—
1127#121—24no—
1128#121—24no—
1129#121—24no—
1130#121—24no—
1131#121D4×C7318yescomplemented
1132#120—24no—
1133#120—24no—
1134#120—42no—
1135#120—42no—
1136C4×D4—24no—
1137C4×D4—24no—
1138C4×D4—24no—
1139C4×D4—24no—
1140C4×D4—24no—
1141C4×D4—24no—
1142C4×D4—42no—
1143C4×D4—42no—
1144C4×D4—42no—
1145C4×D4—42no—
1146#117—24no—
1147C2×C4⋊C4—24no—
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×C4⋊C4C23×C7311yescharacteristic
1170C2×C4⋊C4C23×C7311yescharacteristic
1171C2×C4⋊C4C23×C7311yescharacteristic
1172C2×C4⋊C4C23×C7311yescharacteristic
1173C2×C4⋊C4C23×C7311yescharacteristic
1174C2×C22⋊C4—24no—
1175C2×C22⋊C4—24no—
1176C2×C22⋊C4—24no—
1177C2×C22⋊C4—24no—
1178C2×C22⋊C4—42no—
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×C22⋊C4C23×C7311yescharacteristic
1227C2×C22⋊C4C23×C7311yescharacteristic
1228C2×C22⋊C4C23×C7311yescharacteristic
1229C2×C22⋊C4C23×C7311yescharacteristic
1230C2×C22⋊C4C23×C7311yescharacteristic
1231C2×C22⋊C4C23×C7311yescharacteristic
1232C2×C22⋊C4C23×C7311yescharacteristic
1233C2×C42—42no—
1234C2×C42C23×C7311yescharacteristic
1235C2×C42C23×C7311yescharacteristic
1236C2×C42C23×C7311yescharacteristic
1237C2×C42C23×C7311yescharacteristic
1238C2×C42C23×C7311yescharacteristic
1239C2×C42C23×C7311yescharacteristic
1240C2×C42C23×C7311yescharacteristic
1241C2×C42C23×C7311yescharacteristic
1242C2×C42C23×C7311yescharacteristic
1243C2×C42C23×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
1266#95C23×C7311yescharacteristic
1267#95C23×C7311yescharacteristic
1268#95C23×C7311yescharacteristic
1269#95C23×C7311yescharacteristic
1270#95C23×C7311yescharacteristic
1271#95C23×C7311yescharacteristic
1272#95C23×C7311yescharacteristic
1273#95C23×C7311yescharacteristic
1274#95C23×C7311yescharacteristic
1275#95C23×C7311yescharacteristic
1276C24—22no—
1277C24—22no—
1278C24—22no—
1279C24—22no—
1280C24—22no—
1281C24—22no—
1282C24—22no—
1283C24—41no—
1284C24—41no—
1285C24—41no—
1286C24—41no—
1287C24—41no—
1288C24—41no—
1289C24—41no—
1290C24C24×C7311yescharacteristic
1291C24C24×C7311yescharacteristic
1292C24C24×C7311yescharacteristic
1293C24C24×C7311yescharacteristic
1294C24C24×C7311yescharacteristic
1295C24C24×C7311yescharacteristic
1296C24C24×C7311yescharacteristic
1297#41—416no—
1298C2×Q8—22no—
1299C2×Q8—22no—
1300C2×Q8—41no—
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—22no—
1310C2×D4—22no—
1311C2×D4—22no—
1312C2×D4—22no—
1313C2×D4—22no—
1314C2×D4—22no—
1315C2×D4—22no—
1316C2×D4—22no—
1317C2×D4—22no—
1318C2×D4—22no—
1319C2×D4—22no—
1320C2×D4—22no—
1321C2×D4—22no—
1322C2×D4—22no—
1323C2×D4—22no—
1324C2×D4—22no—
1325C2×D4—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—41no—
1337C2×D4—41no—
1338C2×D4—41no—
1339C2×D4—41no—
1340C2×D4—41no—
1341C2×D4—41no—
1342C2×D4—416no—
1343C2×D4C2×D4×C7314yes—
1344C2×D4C2×D4×C7314yes—
1345C2×D4C2×D4×C7314yes—
1346C2×D4#41×C7314yes—
1347C22×C4—22no—
1348C22×C4—22no—
1349C22×C4—22no—
1350C22×C4—22no—
1351C22×C4—22no—
1352C22×C4—22no—
1353C22×C4—22no—
1354C22×C4—22no—
1355C22×C4—22no—
1356C22×C4—22no—
1357C22×C4—22no—
1358C22×C4—22no—
1359C22×C4—22no—
1360C22×C4—22no—
1361C22×C4—22no—
1362C22×C4—22no—
1363C22×C4—22no—
1364C22×C4—22no—
1365C22×C4—22no—
1366C22×C4—22no—
1367C22×C4—22no—
1368C22×C4—22no—
1369C22×C4—22no—
1370C22×C4—41no—
1371C22×C4—41no—
1372C22×C4—41no—
1373C22×C4—41no—
1374C22×C4—41no—
1375C22×C4—41no—
1376C22×C4—41no—
1377C22×C4—41no—
1378C22×C4—41no—
1379C22×C4—41no—
1380C22×C4—41no—
1381C22×C4—41no—
1382C22×C4—41no—
1383C22×C4—41no—
1384C22×C4—41no—
1385C22×C4—41no—
1386C22×C4—41no—
1387C22×C4—41no—
1388C22×C4—41no—
1389C22×C4—41no—
1390C22×C4—41no—
1391C22×C4C2×D4×C7314yes—
1392C22×C4C24×C7311yescharacteristic
1393C22×C4C24×C7311yescharacteristic
1394C22×C4C24×C7311yescharacteristic
1395C22×C4C24×C7311yescharacteristic
1396C22×C4C24×C7311yescharacteristic
1397C22×C4C24×C7311yescharacteristic
1398C22×C4C24×C7311yescharacteristic
1399C22×C4C24×C7311yescharacteristic
1400C22×C4C24×C7311yescharacteristic
1401C22×C4C24×C7311yescharacteristic
1402C22×C4C24×C7311yescharacteristic
1403C22×C4C24×C7311yescharacteristic
1404C22×C4C24×C7311yescharacteristic
1405C22×C4C24×C7311yescharacteristic
1406C22×C4C24×C7311yescharacteristic
1407C22×C4C24×C7311yescharacteristic
1408C22×C4C24×C7311yescharacteristic
1409C22×C4C24×C7311yescharacteristic
1410C22×C4C24×C7311yescharacteristic
1411C22×C4C24×C7311yescharacteristic
1412C22×C4C24×C7311yescharacteristic
1413C22×C4C24×C7311yescharacteristic
1414C22×C4C24×C7311yescharacteristic
1415C22×C4C24×C7311yescharacteristic
1416C4⋊C4—22no—
1417C4⋊C4—22no—
1418C4⋊C4—22no—
1419C4⋊C4—22no—
1420C4⋊C4—22no—
1421C4⋊C4—22no—
1422C4⋊C4—22no—
1423C4⋊C4—22no—
1424C4⋊C4—22no—
1425C4⋊C4—22no—
1426C4⋊C4—22no—
1427C4⋊C4—22no—
1428C4⋊C4—22no—
1429C4⋊C4—22no—
1430C4⋊C4—22no—
1431C4⋊C4—41no—
1432C4⋊C4—41no—
1433C4⋊C4—41no—
1434C4⋊C4—41no—
1435C4⋊C4—41no—
1436C4⋊C4—41no—
1437C4⋊C4—41no—
1438C4⋊C4—41no—
1439C4⋊C4—41no—
1440C4⋊C4—41no—
1441C4⋊C4C2×D4×C7314yes—
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—22no—
1465C22⋊C4—22no—
1466C22⋊C4—22no—
1467C22⋊C4—22no—
1468C22⋊C4—22no—
1469C22⋊C4—22no—
1470C22⋊C4—22no—
1471C22⋊C4—22no—
1472C22⋊C4—22no—
1473C22⋊C4—22no—
1474C22⋊C4—22no—
1475C22⋊C4—41no—
1476C22⋊C4—41no—
1477C22⋊C4—41no—
1478C22⋊C4—41no—
1479C22⋊C4—41no—
1480C22⋊C4—41no—
1481C22⋊C4—41no—
1482C22⋊C4—41no—
1483C22⋊C4—41no—
1484C22⋊C4—41no—
1485C22⋊C4—41no—
1486C22⋊C4—41no—
1487C22⋊C4—41no—
1488C22⋊C4—41no—
1489C22⋊C4—41no—
1490C22⋊C4—41no—
1491C22⋊C4—41no—
1492C22⋊C4—41no—
1493C22⋊C4C2×D4×C7314yes—
1494C22⋊C4C2×D4×C7314yes—
1495C22⋊C4#41×C7314yescomplemented
1496C42—22no—
1497C42—22no—
1498C42—22no—
1499C42—22no—
1500C42—22no—
1501C42—22no—
1502C42—41no—
1503C42—41no—
1504C42—41no—
1505C42—41no—
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—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—44no—
1549C23—44no—
1550C23—44no—
1551C23—44no—
1552C23—44no—
1553C23—44no—
1554C23—44no—
1555C23—82no—
1556C23—82no—
1557C23—82no—
1558C23—82no—
1559C23—82no—
1560C23—82no—
1561C23—82no—
1562C23C22×D4×C7312yes—
1563C23C22×D4×C7312yes—
1564C23C22×D4×C7312yes—
1565C23C2×#41×C7312yes—
1566C23C2×#41×C7312yes—
1567C23C2×#41×C7312yes—
1568C23H(5,𝔽2)×C7312yes—
1569C23C25×C7311yescharacteristic
1570Q8—44no—
1571D4—28no—
1572D4—28no—
1573D4—28no—
1574D4—44no—
1575D4—44no—
1576D4—44no—
1577D4—44no—
1578D4—44no—
1579D4—44no—
1580D4—44no—
1581D4—44no—
1582D4—82no—
1583D4—82no—
1584D4—82no—
1585D4—82no—
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—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—44no—
1651C2×C4—44no—
1652C2×C4—44no—
1653C2×C4—44no—
1654C2×C4—44no—
1655C2×C4—44no—
1656C2×C4—44no—
1657C2×C4—44no—
1658C2×C4—44no—
1659C2×C4—82no—
1660C2×C4—82no—
1661C2×C4—82no—
1662C2×C4—82no—
1663C2×C4—82no—
1664C2×C4—82no—
1665C2×C4C22×D4×C7312yes—
1666C2×C4C22×D4×C7312yes—
1667C2×C4C22×D4×C7312yes—
1668C2×C4C22×D4×C7312yes—
1669C2×C4C2×#41×C7312yes—
1670C2×C4C2×#41×C7312yes—
1671C2×C4C2×#41×C7312yes—
1672C2×C4H(5,𝔽2)×C7312yes—
1673C22—22no—
1674C22—22no—
1675C22—22no—
1676C22—22no—
1677C22—22no—
1678C22—22no—
1679C22—22no—
1680C22—22no—
1681C22—22no—
1682C22—22no—
1683C22—22no—
1684C22—22no—
1685C22—22no—
1686C22—22no—
1687C22—22no—
1688C22—22no—
1689C22—22no—
1690C22—22no—
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—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—88no—
1722C22—88no—
1723C22#546×C7314yes—
1724C22C23×D4×C7311yescharacteristic
1725C22C22×#41×C7311yescharacteristic
1726C22C22×#41×C7311yescharacteristic
1727C22C2×H(5,𝔽2)×C7311yescharacteristic
1728C22C2×H(5,𝔽2)×C7311yescharacteristic
1729C22#585×C7311yescharacteristic
1730C22#585×C7311yescharacteristic
1731C4—22no—
1732C4—22no—
1733C4—22no—
1734C4—22no—
1735C4—22no—
1736C4—22no—
1737C4—22no—
1738C4—22no—
1739C4—41no—
1740C4—41no—
1741C4—41no—
1742C4—41no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—41no—
1748C4—41no—
1749C4—41no—
1750C4—41no—
1751C4—41no—
1752C4—41no—
1753C4—41no—
1754C4—41no—
1755C2—24no—
1756C2—42no—
1757C2—42no—
1758C2—42no—
1759C2—42no—
1760C2—81no—
1761C2—81no—
1762C2C2×#546×C7311yescharacteristic
1763C2D4×#41×C7311yescharacteristic
1764C2C73×#347511yescharacteristic
1765C2C73×#349611yescharacteristic
1766C2C73×#351311yescharacteristic
1767C2C73×#351911yescharacteristic
1768C2C73×#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×#546×C73C2semidirect
3. C73×#2707C2semidirect
4. C73×#2702C2semidirect
5. C73×#2699C2semidirect
6. C73×#2697C2semidirect
7. C73×#2579C2semidirect
8. C73×#2559C2semidirect
9. C73×#2557C2semidirect
10. C73×#2556C2semidirect
11. C73×#2554C2semidirect
12. C73×#2534C2semidirect
13. C73×#2474C2semidirect
14. C73×#2468C2semidirect
15. C73×#2456C2semidirect
16. C73×#2430C2semidirect
17. C73×#2425C2semidirect
18. C73×#2425C2semidirect
19. C73×#2424C2semidirect
20. C73×#2424C2semidirect
21. C73×#2419C2semidirect
22. C73×#2418C2semidirect
23. C73×#2418C2semidirect
24. C73×#2410C2semidirect
25. C73×#2364C2semidirect
26. C73×#2342C2semidirect
27. C73×#2339C2semidirect
28. D4×C22⋊C4×C73C2semidirect
29. C4×#121×C73C2semidirect
30. C4×#121×C73C2semidirect
31. C2×#388×C73C2semidirect
36. C2×#126×C73C22semidirect
37. C2×#126×C73C22semidirect
38. C2×#125×C73C22semidirect
42. C2×#123×C73C22semidirect
43. C2×#123×C73C22semidirect
44. C2×#123×C73C22semidirect
45. C2×#123×C73C22semidirect
53. C2×#121×C73C22semidirect
54. C2×#121×C73C22semidirect
63. C2×C4×D4×C73C22semidirect
64. C2×C4×D4×C73C22semidirect
65. C2×C4×D4×C73C22semidirect
66. C2×C4×D4×C73C22semidirect
67. C2×C4×D4×C73C22semidirect
68. C2×C4×D4×C73C22semidirect
69. C2×#117×C73C22semidirect
70. C22×C4⋊C4×C73C22semidirect
76. C22×C42×C73C22semidirect
77. #400×C73C22semidirect
79. #398×C73C22semidirect
80. #398×C73C22semidirect
81. #398×C73C22semidirect
82. #398×C73C22semidirect
83. #397×C73C22semidirect
84. #397×C73C22semidirect
85. #397×C73C22semidirect
86. #397×C73C22semidirect
88. #396×C73C22semidirect
89. #396×C73C22semidirect
90. #396×C73C22semidirect
91. #396×C73C22semidirect
92. #396×C73C22semidirect
93. #395×C73C22semidirect
100. #394×C73C22semidirect
101. #394×C73C22semidirect
102. #394×C73C22semidirect
103. #394×C73C22semidirect
104. #393×C73C22semidirect
107. #392×C73C22semidirect
108. #392×C73C22semidirect
109. #391×C73C22semidirect
110. #391×C73C22semidirect
113. #390×C73C22semidirect
114. #390×C73C22semidirect
115. #390×C73C22semidirect
116. #389×C73C22semidirect
117. #389×C73C22semidirect
118. #389×C73C22semidirect
126. #388×C73C22semidirect
127. #388×C73C22semidirect
128. #388×C73C22semidirect
129. #388×C73C22semidirect
130. #388×C73C22semidirect
131. #388×C73C22semidirect
132. #388×C73C22semidirect
133. #388×C73C22semidirect
134. #388×C73C22semidirect
135. #388×C73C22semidirect
136. #388×C73C22semidirect
137. #387×C73C22semidirect
138. #387×C73C22semidirect
139. #387×C73C22semidirect
140. #387×C73C22semidirect
150. #386×C73C22semidirect
151. #386×C73C22semidirect
152. #386×C73C22semidirect
153. #386×C73C22semidirect
154. #386×C73C22semidirect
155. #386×C73C22semidirect
156. #386×C73C22semidirect
157. #386×C73C22semidirect
158. #386×C73C22semidirect
160. #385×C73C22semidirect
161. #385×C73C22semidirect
162. #385×C73C22semidirect
163. #385×C73C22semidirect
164. #385×C73C22semidirect
165. #385×C73C22semidirect
166. #385×C73C22semidirect
167. #381×C73C22semidirect
168. #381×C73C22semidirect
169. #381×C73C22semidirect
171. #380×C73C22semidirect
172. #380×C73C22semidirect
173. #380×C73C22semidirect
174. #380×C73C22semidirect
178. C4×C4⋊C4×C73C22semidirect
179. C4×C4⋊C4×C73C22semidirect
181. C4×C22⋊C4×C73C22semidirect
182. C4×C22⋊C4×C73C22semidirect
183. C4×C22⋊C4×C73C22semidirect
184. C4×C22⋊C4×C73C22semidirect
185. C4×C22⋊C4×C73C22semidirect
186. C2×#95×C73C22semidirect
187. C2×#95×C73C22semidirect
188. C2×#95×C73C22semidirect
246. #121×C73D4semidirect
610. C22⋊C4×C73#41semidirect
870. #59407C73direct (N × H)
885. C2×#553C2×C73semidirect
886. C2×#546C2×C73semidirect
887. #2707C2×C73semidirect
888. #2702C2×C73semidirect
889. #2699C2×C73semidirect
890. #2697C2×C73semidirect
891. #2579C2×C73semidirect
892. #2559C2×C73semidirect
893. #2557C2×C73semidirect
894. #2556C2×C73semidirect
895. #2554C2×C73semidirect
896. #2534C2×C73semidirect
897. #2474C2×C73semidirect
898. #2468C2×C73semidirect
899. #2456C2×C73semidirect
900. #2430C2×C73semidirect
901. #2425C2×C73semidirect
902. #2425C2×C73semidirect
903. #2424C2×C73semidirect
904. #2424C2×C73semidirect
905. #2419C2×C73semidirect
906. #2418C2×C73semidirect
907. #2418C2×C73semidirect
908. #2410C2×C73semidirect
909. #2364C2×C73semidirect
910. #2342C2×C73semidirect
911. #2339C2×C73semidirect
912. D4×C22⋊C4C2×C73semidirect
913. C4×#121C2×C73semidirect
914. C4×#121C2×C73semidirect
915. C2×#388C2×C73semidirect
916. C73#59407direct (N × H)
921. C2×#126C22×C73semidirect
922. C2×#126C22×C73semidirect
923. C2×#125C22×C73semidirect
927. C2×#123C22×C73semidirect
928. C2×#123C22×C73semidirect
929. C2×#123C22×C73semidirect
930. C2×#123C22×C73semidirect
938. C2×#121C22×C73semidirect
939. C2×#121C22×C73semidirect
948. C2×C4×D4C22×C73semidirect
949. C2×C4×D4C22×C73semidirect
950. C2×C4×D4C22×C73semidirect
951. C2×C4×D4C22×C73semidirect
952. C2×C4×D4C22×C73semidirect
953. C2×C4×D4C22×C73semidirect
954. C2×#117C22×C73semidirect
955. C22×C4⋊C4C22×C73semidirect
961. C22×C42C22×C73semidirect
962. #400C22×C73semidirect
964. #398C22×C73semidirect
965. #398C22×C73semidirect
966. #398C22×C73semidirect
967. #398C22×C73semidirect
968. #397C22×C73semidirect
969. #397C22×C73semidirect
970. #397C22×C73semidirect
971. #397C22×C73semidirect
973. #396C22×C73semidirect
974. #396C22×C73semidirect
975. #396C22×C73semidirect
976. #396C22×C73semidirect
977. #396C22×C73semidirect
978. #395C22×C73semidirect
985. #394C22×C73semidirect
986. #394C22×C73semidirect
987. #394C22×C73semidirect
988. #394C22×C73semidirect
989. #393C22×C73semidirect
992. #392C22×C73semidirect
993. #392C22×C73semidirect
994. #391C22×C73semidirect
995. #391C22×C73semidirect
998. #390C22×C73semidirect
999. #390C22×C73semidirect
1000. #390C22×C73semidirect
1001. #389C22×C73semidirect
1002. #389C22×C73semidirect
1003. #389C22×C73semidirect
1011. #388C22×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. #387C22×C73semidirect
1023. #387C22×C73semidirect
1024. #387C22×C73semidirect
1025. #387C22×C73semidirect
1035. #386C22×C73semidirect
1036. #386C22×C73semidirect
1037. #386C22×C73semidirect
1038. #386C22×C73semidirect
1039. #386C22×C73semidirect
1040. #386C22×C73semidirect
1041. #386C22×C73semidirect
1042. #386C22×C73semidirect
1043. #386C22×C73semidirect
1045. #385C22×C73semidirect
1046. #385C22×C73semidirect
1047. #385C22×C73semidirect
1048. #385C22×C73semidirect
1049. #385C22×C73semidirect
1050. #385C22×C73semidirect
1051. #385C22×C73semidirect
1052. #381C22×C73semidirect
1053. #381C22×C73semidirect
1054. #381C22×C73semidirect
1056. #380C22×C73semidirect
1057. #380C22×C73semidirect
1058. #380C22×C73semidirect
1059. #380C22×C73semidirect
1063. C4×C4⋊C4C22×C73semidirect
1064. C4×C4⋊C4C22×C73semidirect
1066. C4×C22⋊C4C22×C73semidirect
1067. C4×C22⋊C4C22×C73semidirect
1068. C4×C22⋊C4C22×C73semidirect
1069. C4×C22⋊C4C22×C73semidirect
1070. C4×C22⋊C4C22×C73semidirect
1071. C2×#95C22×C73semidirect
1072. C2×#95C22×C73semidirect
1073. C2×#95C22×C73semidirect
1131. #121D4×C73semidirect
1495. C22⋊C4#41×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×#546×C732
C73×#27072
C73×#27022
C73×#26992
C73×#26972
C73×#25792
C73×#25592
C73×#25572
C73×#25562
C73×#25542
C73×#25342
C73×#24742
C73×#24682
C73×#24562
C73×#24302
C73×#24252
C73×#24242
C73×#24192
C73×#24182
C73×#24102
C73×#23642
C73×#23422
C73×#23392
D4×C22⋊C4×C732
C4×#121×C732
C2×#388×C732
#5940773