Finite Group Databasebeta

← C73×#36744 #32946148

Subgroups — C73×#36744 #32946148

Order 18688.

2440 conjugacy classes of subgroups.

The subgroup lattice has 1800 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#540×C73C211yesmaximal, characteristic, complemented
2C2×#538×C73C211yesmaximal, characteristic, complemented
3C73×#2856C211yesmaximal, characteristic, complemented
4C73×#2854C211yesmaximal, characteristic, complemented
5C73×#2721C211yesmaximal, characteristic, complemented
6C73×#2714C211yesmaximal, characteristic, complemented
7C73×#2694C211yesmaximal, characteristic, complemented
8C73×#2681C211yesmaximal, characteristic, complemented
9C73×#2680C211yesmaximal, characteristic, complemented
10C73×#2678C211yesmaximal, characteristic, complemented
11C73×#2676C211yesmaximal, characteristic, complemented
12C73×#2675C211yesmaximal, characteristic, complemented
13C73×#2673C211yesmaximal, characteristic, complemented
14C73×#2673C211yesmaximal, characteristic, complemented
15C73×#2672C211yesmaximal, characteristic, complemented
16C73×#2671C211yesmaximal, characteristic, complemented
17C73×#2671C211yesmaximal, characteristic, complemented
18C73×#2669C211yesmaximal, characteristic, complemented
19C73×#2669C211yesmaximal, characteristic, complemented
20C73×#2668C211yesmaximal, characteristic, complemented
21C73×#2661C211yesmaximal, characteristic, complemented
22C73×#2661C211yesmaximal, characteristic, complemented
23C73×#2610C211yesmaximal, characteristic, complemented
24C73×#2603C211yesmaximal, characteristic, complemented
25C73×#2602C211yesmaximal, characteristic, complemented
26C73×#2601C211yesmaximal, characteristic, complemented
27C73×#2540C211yesmaximal, characteristic, complemented
28C73×#2539C211yesmaximal, characteristic, complemented
29C73×#2414C211yesmaximal, characteristic, complemented
30C73×#2411C211yesmaximal, characteristic, complemented
31C73×#2290C211yesmaximal, characteristic, complemented
32#540×C73—28no—
33#538×C73—28no—
34C2×#127×C73C2211yescharacteristic
35C2×#127×C73C2211yescharacteristic
36C2×#126×C73C2211yescharacteristic
37C2×#126×C73C2211yescharacteristic
38C2×#125×C73C2211yescharacteristic, complemented
39C2×#124×C73C2211yescharacteristic
40C2×#124×C73C2211yescharacteristic
41C2×#123×C73C2211yescharacteristic
42C2×#123×C73C2211yescharacteristic
43C2×#123×C73C2211yescharacteristic
44C2×#123×C73C2211yescharacteristic
45C2×#123×C73C2211yescharacteristic
46C2×#123×C73C2211yescharacteristic
47C2×#123×C73C2211yescharacteristic, complemented
48C2×#123×C73C2211yescharacteristic, complemented
49C2×C22⋊Q8×C73C2211yescharacteristic
50C2×C22⋊Q8×C73C2211yescharacteristic, complemented
51C2×C22⋊Q8×C73C2211yescharacteristic, complemented
52C2×#121×C73C2211yescharacteristic
53C2×#121×C73C2211yescharacteristic
54C2×#121×C73C2211yescharacteristic
55C2×#121×C73C2211yescharacteristic
56C2×#121×C73C2211yescharacteristic
57C2×#121×C73C2211yescharacteristic
58C2×#121×C73C2211yescharacteristic
59C2×#121×C73C2211yescharacteristic
60C2×#121×C73C2211yescharacteristic
61C2×#121×C73C2211yescharacteristic
62C2×#121×C73C2211yescharacteristic
63C2×#121×C73C2211yescharacteristic, complemented
64C2×#121×C73C2211yescharacteristic, complemented
65C2×#121×C73C2211yescharacteristic, complemented
66C2×#121×C73C2211yescharacteristic, complemented
67C2×#121×C73C2211yescharacteristic, complemented
68C2×#121×C73C2211yescharacteristic, complemented
69C2×#120×C73C2211yescharacteristic
70C2×#120×C73C2211yescharacteristic
71C2×#120×C73C2211yescharacteristic
72C2×#120×C73C2211yescharacteristic
73C2×#120×C73C2211yescharacteristic
74C2×C4×D4×C73C2211yescharacteristic
75C2×C4×D4×C73C2211yescharacteristic
76C2×C4×D4×C73C2211yescharacteristic, complemented
77C2×#117×C73C2211yescharacteristic
78C2×#117×C73C2211yescharacteristic, complemented
79C22×C22⋊C4×C73C2211yescharacteristic
80C22×C42×C73C2211yescharacteristic, complemented
81#399×C73C2211yescharacteristic
82#399×C73C2211yescharacteristic
83#399×C73C2211yescharacteristic
84#399×C73C2211yescharacteristic, complemented
85#398×C73C2211yescharacteristic, complemented
86#398×C73C2211yescharacteristic, complemented
87#398×C73C2211yescharacteristic, complemented
88#398×C73C2211yescharacteristic, complemented
89#397×C73C2211yescharacteristic
90#397×C73C2211yescharacteristic
91#397×C73C2211yescharacteristic
92#397×C73C2211yescharacteristic, complemented
93#396×C73C2211yescharacteristic
94#396×C73C2211yescharacteristic
95#396×C73C2211yescharacteristic
96#396×C73C2211yescharacteristic, complemented
97#395×C73C2211yescharacteristic, complemented
98#394×C73C2211yescharacteristic
99#394×C73C2211yescharacteristic
100#394×C73C2211yescharacteristic
101#394×C73C2211yescharacteristic
102#394×C73C2211yescharacteristic
103#394×C73C2211yescharacteristic
104#394×C73C2211yescharacteristic
105#394×C73C2211yescharacteristic
106#394×C73C2211yescharacteristic
107#394×C73C2211yescharacteristic
108#394×C73C2211yescharacteristic, complemented
109#394×C73C2211yescharacteristic, complemented
110#394×C73C2211yescharacteristic, complemented
111#394×C73C2211yescharacteristic, complemented
112#394×C73C2211yescharacteristic, complemented
113#393×C73C2211yescharacteristic, complemented
114#392×C73C2211yescharacteristic
115#392×C73C2211yescharacteristic
116#392×C73C2211yescharacteristic
117#392×C73C2211yescharacteristic
118#392×C73C2211yescharacteristic
119#392×C73C2211yescharacteristic
120#392×C73C2211yescharacteristic
121#392×C73C2211yescharacteristic
122#392×C73C2211yescharacteristic
123#392×C73C2211yescharacteristic
124#392×C73C2211yescharacteristic
125#392×C73C2211yescharacteristic
126#392×C73C2211yescharacteristic
127#392×C73C2211yescharacteristic, complemented
128#392×C73C2211yescharacteristic, complemented
129#390×C73C2211yescharacteristic
130#390×C73C2211yescharacteristic
131#390×C73C2211yescharacteristic
132#390×C73C2211yescharacteristic
133#390×C73C2211yescharacteristic
134#390×C73C2211yescharacteristic
135#390×C73C2211yescharacteristic
136#390×C73C2211yescharacteristic
137#390×C73C2211yescharacteristic, complemented
138#390×C73C2211yescharacteristic, complemented
139#390×C73C2211yescharacteristic, complemented
140#390×C73C2211yescharacteristic, complemented
141#390×C73C2211yescharacteristic, complemented
142#389×C73C2211yescharacteristic, complemented
143#389×C73C2211yescharacteristic, complemented
144#389×C73C2211yescharacteristic, complemented
145#388×C73C2211yescharacteristic
146#388×C73C2211yescharacteristic
147#388×C73C2211yescharacteristic
148#388×C73C2211yescharacteristic
149#388×C73C2211yescharacteristic
150#388×C73C2211yescharacteristic
151#388×C73C2211yescharacteristic
152#388×C73C2211yescharacteristic, complemented
153#388×C73C2211yescharacteristic, complemented
154#388×C73C2211yescharacteristic, complemented
155#388×C73C2211yescharacteristic, complemented
156#388×C73C2211yescharacteristic, complemented
157#388×C73C2211yescharacteristic, complemented
158#388×C73C2211yescharacteristic, complemented
159#387×C73C2211yescharacteristic, complemented
160#387×C73C2211yescharacteristic, complemented
161#387×C73C2211yescharacteristic, complemented
162#387×C73C2211yescharacteristic, complemented
163#386×C73C2211yescharacteristic
164#386×C73C2211yescharacteristic
165#386×C73C2211yescharacteristic
166#386×C73C2211yescharacteristic
167#386×C73C2211yescharacteristic
168#386×C73C2211yescharacteristic
169#386×C73C2211yescharacteristic
170#386×C73C2211yescharacteristic
171#386×C73C2211yescharacteristic, complemented
172#386×C73C2211yescharacteristic, complemented
173#386×C73C2211yescharacteristic, complemented
174#385×C73C2211yescharacteristic
175#385×C73C2211yescharacteristic, complemented
176#385×C73C2211yescharacteristic, complemented
177#385×C73C2211yescharacteristic, complemented
178#385×C73C2211yescharacteristic, complemented
179#385×C73C2211yescharacteristic, complemented
180#385×C73C2211yescharacteristic, complemented
181#384×C73C2211yescharacteristic, complemented
182#380×C73C2211yescharacteristic, complemented
183#380×C73C2211yescharacteristic, complemented
184#379×C73C2211yescharacteristic
185C4×C4⋊C4×C73C2211yescharacteristic, complemented
186C4×C22⋊C4×C73C2211yescharacteristic
187C4×C22⋊C4×C73C2211yescharacteristic, complemented
188#376×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
209C22×D4×C73C2311yescharacteristic
210C22×D4×C73C2311yescharacteristic
211C22×D4×C73C2311yescharacteristic
212C22×D4×C73C2311yescharacteristic
213C22×D4×C73C2311yescharacteristic
214C22×D4×C73C2311yescharacteristic
215C22×D4×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
225#127×C73—24no—
226#127×C73—42no—
227#126×C73—24no—
228#126×C73—24no—
229#125×C73—24no—
230#124×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—24no—
237#123×C73—24no—
238#123×C73—42no—
239#123×C73—42no—
240C22⋊Q8×C73—24no—
241C22⋊Q8×C73—42no—
242C22⋊Q8×C73—42no—
243#121×C73—24no—
244#121×C73—24no—
245#121×C73—24no—
246#121×C73—24no—
247#121×C73—24no—
248#121×C73—24no—
249#121×C73—24no—
250#121×C73—24no—
251#121×C73—24no—
252#121×C73—42no—
253#121×C73—42no—
254#121×C73—42no—
255#121×C73—42no—
256#121×C73—42no—
257#121×C73—42no—
258#121×C73—42no—
259#121×C73—42no—
260#120×C73—24no—
261#120×C73—24no—
262#120×C73—42no—
263#120×C73—42no—
264#120×C73—42no—
265C4×D4×C73—24no—
266C4×D4×C73—24no—
267C4×D4×C73D418yescomplemented
268#117×C73—24no—
269#117×C73—42no—
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×C4⋊C4×C73C2311yescharacteristic
295C2×C4⋊C4×C73C2311yescharacteristic
296C2×C4⋊C4×C73C2311yescharacteristic
297C2×C4⋊C4×C73C2311yescharacteristic
298C2×C22⋊C4×C73—24no—
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×C22⋊C4×C73C2311yescharacteristic
352C2×C22⋊C4×C73C2311yescharacteristic
353C2×C22⋊C4×C73C2311yescharacteristic
354C2×C22⋊C4×C73C2311yescharacteristic
355C2×C22⋊C4×C73C2311yescharacteristic
356C2×C22⋊C4×C73C2311yescharacteristic
357C2×C42×C73—42no—
358C2×C42×C73C2311yescharacteristic
359C2×C42×C73C2311yescharacteristic
360C2×C42×C73C2311yescharacteristic
361C2×C42×C73C2311yescharacteristic
362C2×C42×C73C2311yescharacteristic
363C2×C42×C73C2311yescharacteristic
364C2×C42×C73C2311yescharacteristic
365C2×C42×C73C2311yescharacteristic
366C2×C42×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—41no—
393C24×C73—41no—
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
405C24×C73C2411yescharacteristic
406C2×Q8×C73—22no—
407C2×Q8×C73—41no—
408C2×Q8×C73—41no—
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—41no—
430C2×D4×C73—41no—
431C2×D4×C73—41no—
432C2×D4×C73—41no—
433C2×D4×C73—41no—
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—41no—
462C2×D4×C73—41no—
463C2×D4×C73—41no—
464C2×D4×C73—41no—
465C2×D4×C73—41no—
466C2×D4×C73—41no—
467C2×D4×C73—41no—
468C2×D4×C73—41no—
469C2×D4×C73—41no—
470C2×D4×C73—41no—
471C2×D4×C73—41no—
472C2×D4×C73—41no—
473C2×D4×C73—41no—
474C2×D4×C73—41no—
475C2×D4×C73—41no—
476C2×D4×C73—41no—
477C2×D4×C73—41no—
478C2×D4×C73—41no—
479C2×D4×C73—41no—
480C2×D4×C73—41no—
481C2×D4×C73—41no—
482C2×D4×C73—41no—
483C2×D4×C73C2×D414yes—
484C22×C4×C73—22no—
485C22×C4×C73—22no—
486C22×C4×C73—22no—
487C22×C4×C73—22no—
488C22×C4×C73—22no—
489C22×C4×C73—22no—
490C22×C4×C73—22no—
491C22×C4×C73—22no—
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×C73—41no—
507C22×C4×C73—41no—
508C22×C4×C73—41no—
509C22×C4×C73C2×D414yes—
510C22×C4×C73C2×D414yes—
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
531C22×C4×C73C2411yescharacteristic
532C22×C4×C73C2411yescharacteristic
533C22×C4×C73C2411yescharacteristic
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—22no—
547C4⋊C4×C73—22no—
548C4⋊C4×C73—22no—
549C4⋊C4×C73—22no—
550C4⋊C4×C73—22no—
551C4⋊C4×C73—22no—
552C4⋊C4×C73—41no—
553C4⋊C4×C73—41no—
554C4⋊C4×C73—41no—
555C4⋊C4×C73—41no—
556C4⋊C4×C73—41no—
557C4⋊C4×C73—41no—
558C4⋊C4×C73—41no—
559C4⋊C4×C73—41no—
560C4⋊C4×C73—41no—
561C4⋊C4×C73C2×D414yes—
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—22no—
591C22⋊C4×C73—22no—
592C22⋊C4×C73—22no—
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×C73—41no—
609C22⋊C4×C73—41no—
610C22⋊C4×C73—41no—
611C22⋊C4×C73—41no—
612C22⋊C4×C73—41no—
613C22⋊C4×C73—41no—
614C22⋊C4×C73—41no—
615C22⋊C4×C73—41no—
616C22⋊C4×C73—41no—
617C22⋊C4×C73—41no—
618C22⋊C4×C73C2×D414yes—
619C22⋊C4×C73C2×D414yes—
620C42×C73—22no—
621C42×C73—22no—
622C42×C73—22no—
623C42×C73—22no—
624C42×C73—41no—
625C42×C73—41no—
626C42×C73—41no—
627C42×C73—41no—
628C42×C73C2×D414yes—
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—21no—
665C23×C73—21no—
666C23×C73—21no—
667C23×C73—21no—
668C23×C73—21no—
669C23×C73—21no—
670C23×C73—21no—
671C23×C73—21no—
672C23×C73—21no—
673C23×C73—21no—
674C23×C73—21no—
675C23×C73—21no—
676C23×C73—21no—
677C23×C73—21no—
678C23×C73—21no—
679C23×C73—21no—
680C23×C73—21no—
681C23×C73—21no—
682C23×C73—21no—
683C23×C73—44no—
684C23×C73—82no—
685C23×C73—82no—
686C23×C73—82no—
687C23×C73—82no—
688C23×C73—82no—
689C23×C73—82no—
690C23×C73C22×D412yes—
691C23×C73C22×D412yes—
692C23×C73C2511yescharacteristic
693Q8×C73—82no—
694D4×C73—44no—
695D4×C73—44no—
696D4×C73—44no—
697D4×C73—82no—
698D4×C73—82no—
699D4×C73—82no—
700D4×C73—82no—
701D4×C73—82no—
702D4×C73—82no—
703D4×C73—82no—
704D4×C73—82no—
705D4×C73—82no—
706D4×C73—82no—
707D4×C73—82no—
708D4×C73—82no—
709D4×C73—82no—
710D4×C73—82no—
711D4×C73—82no—
712D4×C73—82no—
713D4×C73—82no—
714D4×C73—82no—
715D4×C73—82no—
716D4×C73—82no—
717D4×C73—82no—
718D4×C73—82no—
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—21no—
766C2×C4×C73—21no—
767C2×C4×C73—21no—
768C2×C4×C73—21no—
769C2×C4×C73—21no—
770C2×C4×C73—21no—
771C2×C4×C73—21no—
772C2×C4×C73—21no—
773C2×C4×C73—21no—
774C2×C4×C73—21no—
775C2×C4×C73—21no—
776C2×C4×C73—21no—
777C2×C4×C73—21no—
778C2×C4×C73—21no—
779C2×C4×C73—21no—
780C2×C4×C73—44no—
781C2×C4×C73—44no—
782C2×C4×C73—44no—
783C2×C4×C73—44no—
784C2×C4×C73—44no—
785C2×C4×C73—82no—
786C2×C4×C73—82no—
787C2×C4×C73—82no—
788C2×C4×C73—82no—
789C2×C4×C73C22×D412yes—
790C2×C4×C73C22×D412yes—
791C2×C4×C73C22×D412yes—
792C2×C4×C73C22×D412yes—
793C2×C4×C73C22×D412yes—
794C2×C4×C73H(5,𝔽2)12yes—
795C2×C4×C73H(5,𝔽2)12yes—
796C2×C4×C73H(5,𝔽2)12yes—
797C22×C73—22no—
798C22×C73—22no—
799C22×C73—22no—
800C22×C73—22no—
801C22×C73—22no—
802C22×C73—22no—
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—41no—
829C22×C73—41no—
830C22×C73—41no—
831C22×C73—41no—
832C22×C73—41no—
833C22×C73—41no—
834C22×C73—41no—
835C22×C73—41no—
836C22×C73—41no—
837C22×C73—41no—
838C22×C73—41no—
839C22×C73—41no—
840C22×C73—41no—
841C22×C73—41no—
842C22×C73—41no—
843C22×C73—41no—
844C22×C73—41no—
845C22×C73—41no—
846C22×C73—41no—
847C22×C73—41no—
848C22×C73—41no—
849C22×C73—41no—
850C22×C73—41no—
851C22×C73—41no—
852C22×C73—41no—
853C22×C73—88no—
854C22×C73C23×D411yescharacteristic
855C22×C73C2×H(5,𝔽2)11yescharacteristic
856C22×C73C2×H(5,𝔽2)11yescharacteristic
857C22×C73C2×H(5,𝔽2)11yescharacteristic
858C22×C73#58511yescharacteristic
859C22×C73#58511yescharacteristic
860C22×C73#58511yescharacteristic
861C4×C73—22no—
862C4×C73—22no—
863C4×C73—22no—
864C4×C73—22no—
865C4×C73—22no—
866C4×C73—22no—
867C4×C73—22no—
868C4×C73—22no—
869C4×C73—41no—
870C4×C73—41no—
871C4×C73—41no—
872C4×C73—41no—
873C4×C73—41no—
874C4×C73—41no—
875C4×C73—41no—
876C4×C73—41no—
877C4×C73—41no—
878C4×C73—41no—
879C4×C73—41no—
880C4×C73—41no—
881C4×C73—41no—
882C4×C73—41no—
883C4×C73—41no—
884#36744C7311yesmaximal, characteristic, direct product factor, Sylow
885C2×C73—42no—
886C2×C73—42no—
887C2×C73—81no—
888C2×C73—81no—
889C2×C73—81no—
890C2×C73—81no—
891C2×C73—81no—
892C2×C73—81no—
893C2×C73#344911yescharacteristic
894C2×C73#349611yescharacteristic
895C2×C73#349811yescharacteristic
896C2×C73#353411yescharacteristic
897C2×C73#354211yescharacteristic
898C2×C73#355111yescharacteristic
899C2×C73#356211yescharacteristic
900C2×#540C2×C7311yescharacteristic, complemented
901C2×#538C2×C7311yescharacteristic, complemented
902#2856C2×C7311yescharacteristic, complemented
903#2854C2×C7311yescharacteristic, complemented
904#2721C2×C7311yescharacteristic, complemented
905#2714C2×C7311yescharacteristic, complemented
906#2694C2×C7311yescharacteristic, complemented
907#2681C2×C7311yescharacteristic, complemented
908#2680C2×C7311yescharacteristic, complemented
909#2678C2×C7311yescharacteristic, complemented
910#2676C2×C7311yescharacteristic, complemented
911#2675C2×C7311yescharacteristic, complemented
912#2673C2×C7311yescharacteristic, complemented
913#2673C2×C7311yescharacteristic, complemented
914#2672C2×C7311yescharacteristic, complemented
915#2671C2×C7311yescharacteristic, complemented
916#2671C2×C7311yescharacteristic, complemented
917#2669C2×C7311yescharacteristic, complemented
918#2669C2×C7311yescharacteristic, complemented
919#2668C2×C7311yescharacteristic, complemented
920#2661C2×C7311yescharacteristic, complemented
921#2661C2×C7311yescharacteristic, complemented
922#2610C2×C7311yescharacteristic, complemented
923#2603C2×C7311yescharacteristic, complemented
924#2602C2×C7311yescharacteristic, complemented
925#2601C2×C7311yescharacteristic, complemented
926#2540C2×C7311yescharacteristic, complemented
927#2539C2×C7311yescharacteristic, complemented
928#2414C2×C7311yescharacteristic, complemented
929#2411C2×C7311yescharacteristic, complemented
930#2290C2×C7311yescharacteristic, complemented
931C73#3674411yescharacteristic, direct product factor, Sylow
932#540—28no—
933#538—28no—
934C2×#127C22×C7311yescharacteristic
935C2×#127C22×C7311yescharacteristic
936C2×#126C22×C7311yescharacteristic
937C2×#126C22×C7311yescharacteristic
938C2×#125C22×C7311yescharacteristic, complemented
939C2×#124C22×C7311yescharacteristic
940C2×#124C22×C7311yescharacteristic
941C2×#123C22×C7311yescharacteristic
942C2×#123C22×C7311yescharacteristic
943C2×#123C22×C7311yescharacteristic
944C2×#123C22×C7311yescharacteristic
945C2×#123C22×C7311yescharacteristic
946C2×#123C22×C7311yescharacteristic
947C2×#123C22×C7311yescharacteristic, complemented
948C2×#123C22×C7311yescharacteristic, complemented
949C2×C22⋊Q8C22×C7311yescharacteristic
950C2×C22⋊Q8C22×C7311yescharacteristic, complemented
951C2×C22⋊Q8C22×C7311yescharacteristic, complemented
952C2×#121C22×C7311yescharacteristic
953C2×#121C22×C7311yescharacteristic
954C2×#121C22×C7311yescharacteristic
955C2×#121C22×C7311yescharacteristic
956C2×#121C22×C7311yescharacteristic
957C2×#121C22×C7311yescharacteristic
958C2×#121C22×C7311yescharacteristic
959C2×#121C22×C7311yescharacteristic
960C2×#121C22×C7311yescharacteristic
961C2×#121C22×C7311yescharacteristic
962C2×#121C22×C7311yescharacteristic
963C2×#121C22×C7311yescharacteristic, complemented
964C2×#121C22×C7311yescharacteristic, complemented
965C2×#121C22×C7311yescharacteristic, complemented
966C2×#121C22×C7311yescharacteristic, complemented
967C2×#121C22×C7311yescharacteristic, complemented
968C2×#121C22×C7311yescharacteristic, complemented
969C2×#120C22×C7311yescharacteristic
970C2×#120C22×C7311yescharacteristic
971C2×#120C22×C7311yescharacteristic
972C2×#120C22×C7311yescharacteristic
973C2×#120C22×C7311yescharacteristic
974C2×C4×D4C22×C7311yescharacteristic
975C2×C4×D4C22×C7311yescharacteristic
976C2×C4×D4C22×C7311yescharacteristic, complemented
977C2×#117C22×C7311yescharacteristic
978C2×#117C22×C7311yescharacteristic, complemented
979C22×C22⋊C4C22×C7311yescharacteristic
980C22×C42C22×C7311yescharacteristic, complemented
981#399C22×C7311yescharacteristic
982#399C22×C7311yescharacteristic
983#399C22×C7311yescharacteristic
984#399C22×C7311yescharacteristic, complemented
985#398C22×C7311yescharacteristic, complemented
986#398C22×C7311yescharacteristic, complemented
987#398C22×C7311yescharacteristic, complemented
988#398C22×C7311yescharacteristic, complemented
989#397C22×C7311yescharacteristic
990#397C22×C7311yescharacteristic
991#397C22×C7311yescharacteristic
992#397C22×C7311yescharacteristic, complemented
993#396C22×C7311yescharacteristic
994#396C22×C7311yescharacteristic
995#396C22×C7311yescharacteristic
996#396C22×C7311yescharacteristic, complemented
997#395C22×C7311yescharacteristic, complemented
998#394C22×C7311yescharacteristic
999#394C22×C7311yescharacteristic
1000#394C22×C7311yescharacteristic
1001#394C22×C7311yescharacteristic
1002#394C22×C7311yescharacteristic
1003#394C22×C7311yescharacteristic
1004#394C22×C7311yescharacteristic
1005#394C22×C7311yescharacteristic
1006#394C22×C7311yescharacteristic
1007#394C22×C7311yescharacteristic
1008#394C22×C7311yescharacteristic, complemented
1009#394C22×C7311yescharacteristic, complemented
1010#394C22×C7311yescharacteristic, complemented
1011#394C22×C7311yescharacteristic, complemented
1012#394C22×C7311yescharacteristic, complemented
1013#393C22×C7311yescharacteristic, complemented
1014#392C22×C7311yescharacteristic
1015#392C22×C7311yescharacteristic
1016#392C22×C7311yescharacteristic
1017#392C22×C7311yescharacteristic
1018#392C22×C7311yescharacteristic
1019#392C22×C7311yescharacteristic
1020#392C22×C7311yescharacteristic
1021#392C22×C7311yescharacteristic
1022#392C22×C7311yescharacteristic
1023#392C22×C7311yescharacteristic
1024#392C22×C7311yescharacteristic
1025#392C22×C7311yescharacteristic
1026#392C22×C7311yescharacteristic
1027#392C22×C7311yescharacteristic, complemented
1028#392C22×C7311yescharacteristic, complemented
1029#390C22×C7311yescharacteristic
1030#390C22×C7311yescharacteristic
1031#390C22×C7311yescharacteristic
1032#390C22×C7311yescharacteristic
1033#390C22×C7311yescharacteristic
1034#390C22×C7311yescharacteristic
1035#390C22×C7311yescharacteristic
1036#390C22×C7311yescharacteristic
1037#390C22×C7311yescharacteristic, complemented
1038#390C22×C7311yescharacteristic, complemented
1039#390C22×C7311yescharacteristic, complemented
1040#390C22×C7311yescharacteristic, complemented
1041#390C22×C7311yescharacteristic, complemented
1042#389C22×C7311yescharacteristic, complemented
1043#389C22×C7311yescharacteristic, complemented
1044#389C22×C7311yescharacteristic, complemented
1045#388C22×C7311yescharacteristic
1046#388C22×C7311yescharacteristic
1047#388C22×C7311yescharacteristic
1048#388C22×C7311yescharacteristic
1049#388C22×C7311yescharacteristic
1050#388C22×C7311yescharacteristic
1051#388C22×C7311yescharacteristic
1052#388C22×C7311yescharacteristic, complemented
1053#388C22×C7311yescharacteristic, complemented
1054#388C22×C7311yescharacteristic, complemented
1055#388C22×C7311yescharacteristic, complemented
1056#388C22×C7311yescharacteristic, complemented
1057#388C22×C7311yescharacteristic, complemented
1058#388C22×C7311yescharacteristic, complemented
1059#387C22×C7311yescharacteristic, complemented
1060#387C22×C7311yescharacteristic, complemented
1061#387C22×C7311yescharacteristic, complemented
1062#387C22×C7311yescharacteristic, complemented
1063#386C22×C7311yescharacteristic
1064#386C22×C7311yescharacteristic
1065#386C22×C7311yescharacteristic
1066#386C22×C7311yescharacteristic
1067#386C22×C7311yescharacteristic
1068#386C22×C7311yescharacteristic
1069#386C22×C7311yescharacteristic
1070#386C22×C7311yescharacteristic
1071#386C22×C7311yescharacteristic, complemented
1072#386C22×C7311yescharacteristic, complemented
1073#386C22×C7311yescharacteristic, complemented
1074#385C22×C7311yescharacteristic
1075#385C22×C7311yescharacteristic, complemented
1076#385C22×C7311yescharacteristic, complemented
1077#385C22×C7311yescharacteristic, complemented
1078#385C22×C7311yescharacteristic, complemented
1079#385C22×C7311yescharacteristic, complemented
1080#385C22×C7311yescharacteristic, complemented
1081#384C22×C7311yescharacteristic, complemented
1082#380C22×C7311yescharacteristic, complemented
1083#380C22×C7311yescharacteristic, complemented
1084#379C22×C7311yescharacteristic
1085C4×C4⋊C4C22×C7311yescharacteristic, complemented
1086C4×C22⋊C4C22×C7311yescharacteristic
1087C4×C22⋊C4C22×C7311yescharacteristic, complemented
1088#376C22×C7311yescharacteristic, complemented
1089C25C23×C7311yescharacteristic
1090C22×Q8C23×C7311yescharacteristic
1091C22×D4C23×C7311yescharacteristic
1092C22×D4C23×C7311yescharacteristic
1093C22×D4C23×C7311yescharacteristic
1094C22×D4C23×C7311yescharacteristic
1095C22×D4C23×C7311yescharacteristic
1096C22×D4C23×C7311yescharacteristic
1097C22×D4C23×C7311yescharacteristic
1098C22×D4C23×C7311yescharacteristic
1099C22×D4C23×C7311yescharacteristic
1100C22×D4C23×C7311yescharacteristic
1101C22×D4C23×C7311yescharacteristic
1102C22×D4C23×C7311yescharacteristic
1103C22×D4C23×C7311yescharacteristic
1104C22×D4C23×C7311yescharacteristic
1105C22×D4C23×C7311yescharacteristic
1106C22×D4C23×C7311yescharacteristic
1107C22×D4C23×C7311yescharacteristic
1108C22×D4C23×C7311yescharacteristic
1109C22×D4C23×C7311yescharacteristic
1110C22×D4C23×C7311yescharacteristic
1111C22×D4C23×C7311yescharacteristic
1112C22×D4C23×C7311yescharacteristic
1113C22×D4C23×C7311yescharacteristic
1114C22×D4C23×C7311yescharacteristic
1115C22×D4C23×C7311yescharacteristic
1116C23×C4C23×C7311yescharacteristic
1117C23×C4C23×C7311yescharacteristic
1118C23×C4C23×C7311yescharacteristic
1119C23×C4C23×C7311yescharacteristic
1120C23×C4C23×C7311yescharacteristic
1121C23×C4C23×C7311yescharacteristic
1122C23×C4C23×C7311yescharacteristic
1123C23×C4C23×C7311yescharacteristic
1124C23×C4C23×C7311yescharacteristic
1125#127—24no—
1126#127—42no—
1127#126—24no—
1128#126—24no—
1129#125—24no—
1130#124—24no—
1131#124—24no—
1132#123—24no—
1133#123—24no—
1134#123—24no—
1135#123—24no—
1136#123—24no—
1137#123—24no—
1138#123—42no—
1139#123—42no—
1140C22⋊Q8—24no—
1141C22⋊Q8—42no—
1142C22⋊Q8—42no—
1143#121—24no—
1144#121—24no—
1145#121—24no—
1146#121—24no—
1147#121—24no—
1148#121—24no—
1149#121—24no—
1150#121—24no—
1151#121—24no—
1152#121—42no—
1153#121—42no—
1154#121—42no—
1155#121—42no—
1156#121—42no—
1157#121—42no—
1158#121—42no—
1159#121—42no—
1160#120—24no—
1161#120—24no—
1162#120—42no—
1163#120—42no—
1164#120—42no—
1165C4×D4—24no—
1166C4×D4—24no—
1167C4×D4D4×C7318yescomplemented
1168#117—24no—
1169#117—42no—
1170C2×C4⋊C4C23×C7311yescharacteristic
1171C2×C4⋊C4C23×C7311yescharacteristic
1172C2×C4⋊C4C23×C7311yescharacteristic
1173C2×C4⋊C4C23×C7311yescharacteristic
1174C2×C4⋊C4C23×C7311yescharacteristic
1175C2×C4⋊C4C23×C7311yescharacteristic
1176C2×C4⋊C4C23×C7311yescharacteristic
1177C2×C4⋊C4C23×C7311yescharacteristic
1178C2×C4⋊C4C23×C7311yescharacteristic
1179C2×C4⋊C4C23×C7311yescharacteristic
1180C2×C4⋊C4C23×C7311yescharacteristic
1181C2×C4⋊C4C23×C7311yescharacteristic
1182C2×C4⋊C4C23×C7311yescharacteristic
1183C2×C4⋊C4C23×C7311yescharacteristic
1184C2×C4⋊C4C23×C7311yescharacteristic
1185C2×C4⋊C4C23×C7311yescharacteristic
1186C2×C4⋊C4C23×C7311yescharacteristic
1187C2×C4⋊C4C23×C7311yescharacteristic
1188C2×C4⋊C4C23×C7311yescharacteristic
1189C2×C4⋊C4C23×C7311yescharacteristic
1190C2×C4⋊C4C23×C7311yescharacteristic
1191C2×C4⋊C4C23×C7311yescharacteristic
1192C2×C4⋊C4C23×C7311yescharacteristic
1193C2×C4⋊C4C23×C7311yescharacteristic
1194C2×C4⋊C4C23×C7311yescharacteristic
1195C2×C4⋊C4C23×C7311yescharacteristic
1196C2×C4⋊C4C23×C7311yescharacteristic
1197C2×C4⋊C4C23×C7311yescharacteristic
1198C2×C22⋊C4—24no—
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×C22⋊C4C23×C7311yescharacteristic
1234C2×C22⋊C4C23×C7311yescharacteristic
1235C2×C22⋊C4C23×C7311yescharacteristic
1236C2×C22⋊C4C23×C7311yescharacteristic
1237C2×C22⋊C4C23×C7311yescharacteristic
1238C2×C22⋊C4C23×C7311yescharacteristic
1239C2×C22⋊C4C23×C7311yescharacteristic
1240C2×C22⋊C4C23×C7311yescharacteristic
1241C2×C22⋊C4C23×C7311yescharacteristic
1242C2×C22⋊C4C23×C7311yescharacteristic
1243C2×C22⋊C4C23×C7311yescharacteristic
1244C2×C22⋊C4C23×C7311yescharacteristic
1245C2×C22⋊C4C23×C7311yescharacteristic
1246C2×C22⋊C4C23×C7311yescharacteristic
1247C2×C22⋊C4C23×C7311yescharacteristic
1248C2×C22⋊C4C23×C7311yescharacteristic
1249C2×C22⋊C4C23×C7311yescharacteristic
1250C2×C22⋊C4C23×C7311yescharacteristic
1251C2×C22⋊C4C23×C7311yescharacteristic
1252C2×C22⋊C4C23×C7311yescharacteristic
1253C2×C22⋊C4C23×C7311yescharacteristic
1254C2×C22⋊C4C23×C7311yescharacteristic
1255C2×C22⋊C4C23×C7311yescharacteristic
1256C2×C22⋊C4C23×C7311yescharacteristic
1257C2×C42—42no—
1258C2×C42C23×C7311yescharacteristic
1259C2×C42C23×C7311yescharacteristic
1260C2×C42C23×C7311yescharacteristic
1261C2×C42C23×C7311yescharacteristic
1262C2×C42C23×C7311yescharacteristic
1263C2×C42C23×C7311yescharacteristic
1264C2×C42C23×C7311yescharacteristic
1265C2×C42C23×C7311yescharacteristic
1266C2×C42C23×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
1276#95C23×C7311yescharacteristic
1277#95C23×C7311yescharacteristic
1278#95C23×C7311yescharacteristic
1279#95C23×C7311yescharacteristic
1280#95C23×C7311yescharacteristic
1281#95C23×C7311yescharacteristic
1282#95C23×C7311yescharacteristic
1283#95C23×C7311yescharacteristic
1284#95C23×C7311yescharacteristic
1285#95C23×C7311yescharacteristic
1286#95C23×C7311yescharacteristic
1287#95C23×C7311yescharacteristic
1288#95C23×C7311yescharacteristic
1289#95C23×C7311yescharacteristic
1290#95C23×C7311yescharacteristic
1291C24—22no—
1292C24—41no—
1293C24—41no—
1294C24—41no—
1295C24—41no—
1296C24—41no—
1297C24—41no—
1298C24C24×C7311yescharacteristic
1299C24C24×C7311yescharacteristic
1300C24C24×C7311yescharacteristic
1301C24C24×C7311yescharacteristic
1302C24C24×C7311yescharacteristic
1303C24C24×C7311yescharacteristic
1304C24C24×C7311yescharacteristic
1305C24C24×C7311yescharacteristic
1306C2×Q8—22no—
1307C2×Q8—41no—
1308C2×Q8—41no—
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—22no—
1326C2×D4—22no—
1327C2×D4—22no—
1328C2×D4—22no—
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—41no—
1343C2×D4—41no—
1344C2×D4—41no—
1345C2×D4—41no—
1346C2×D4—41no—
1347C2×D4—41no—
1348C2×D4—41no—
1349C2×D4—41no—
1350C2×D4—41no—
1351C2×D4—41no—
1352C2×D4—41no—
1353C2×D4—41no—
1354C2×D4—41no—
1355C2×D4—41no—
1356C2×D4—41no—
1357C2×D4—41no—
1358C2×D4—41no—
1359C2×D4—41no—
1360C2×D4—41no—
1361C2×D4—41no—
1362C2×D4—41no—
1363C2×D4—41no—
1364C2×D4—41no—
1365C2×D4—41no—
1366C2×D4—41no—
1367C2×D4—41no—
1368C2×D4—41no—
1369C2×D4—41no—
1370C2×D4—41no—
1371C2×D4—41no—
1372C2×D4—41no—
1373C2×D4—41no—
1374C2×D4—41no—
1375C2×D4—41no—
1376C2×D4—41no—
1377C2×D4—41no—
1378C2×D4—41no—
1379C2×D4—41no—
1380C2×D4—41no—
1381C2×D4—41no—
1382C2×D4—41no—
1383C2×D4C2×D4×C7314yes—
1384C22×C4—22no—
1385C22×C4—22no—
1386C22×C4—22no—
1387C22×C4—22no—
1388C22×C4—22no—
1389C22×C4—22no—
1390C22×C4—22no—
1391C22×C4—22no—
1392C22×C4—41no—
1393C22×C4—41no—
1394C22×C4—41no—
1395C22×C4—41no—
1396C22×C4—41no—
1397C22×C4—41no—
1398C22×C4—41no—
1399C22×C4—41no—
1400C22×C4—41no—
1401C22×C4—41no—
1402C22×C4—41no—
1403C22×C4—41no—
1404C22×C4—41no—
1405C22×C4—41no—
1406C22×C4—41no—
1407C22×C4—41no—
1408C22×C4—41no—
1409C22×C4C2×D4×C7314yes—
1410C22×C4C2×D4×C7314yes—
1411C22×C4C24×C7311yescharacteristic
1412C22×C4C24×C7311yescharacteristic
1413C22×C4C24×C7311yescharacteristic
1414C22×C4C24×C7311yescharacteristic
1415C22×C4C24×C7311yescharacteristic
1416C22×C4C24×C7311yescharacteristic
1417C22×C4C24×C7311yescharacteristic
1418C22×C4C24×C7311yescharacteristic
1419C22×C4C24×C7311yescharacteristic
1420C22×C4C24×C7311yescharacteristic
1421C22×C4C24×C7311yescharacteristic
1422C22×C4C24×C7311yescharacteristic
1423C22×C4C24×C7311yescharacteristic
1424C22×C4C24×C7311yescharacteristic
1425C22×C4C24×C7311yescharacteristic
1426C22×C4C24×C7311yescharacteristic
1427C22×C4C24×C7311yescharacteristic
1428C22×C4C24×C7311yescharacteristic
1429C22×C4C24×C7311yescharacteristic
1430C22×C4C24×C7311yescharacteristic
1431C22×C4C24×C7311yescharacteristic
1432C22×C4C24×C7311yescharacteristic
1433C22×C4C24×C7311yescharacteristic
1434C4⋊C4—22no—
1435C4⋊C4—22no—
1436C4⋊C4—22no—
1437C4⋊C4—22no—
1438C4⋊C4—22no—
1439C4⋊C4—22no—
1440C4⋊C4—22no—
1441C4⋊C4—22no—
1442C4⋊C4—22no—
1443C4⋊C4—22no—
1444C4⋊C4—22no—
1445C4⋊C4—22no—
1446C4⋊C4—22no—
1447C4⋊C4—22no—
1448C4⋊C4—22no—
1449C4⋊C4—22no—
1450C4⋊C4—22no—
1451C4⋊C4—22no—
1452C4⋊C4—41no—
1453C4⋊C4—41no—
1454C4⋊C4—41no—
1455C4⋊C4—41no—
1456C4⋊C4—41no—
1457C4⋊C4—41no—
1458C4⋊C4—41no—
1459C4⋊C4—41no—
1460C4⋊C4—41no—
1461C4⋊C4C2×D4×C7314yes—
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—22no—
1476C22⋊C4—22no—
1477C22⋊C4—22no—
1478C22⋊C4—22no—
1479C22⋊C4—22no—
1480C22⋊C4—22no—
1481C22⋊C4—22no—
1482C22⋊C4—22no—
1483C22⋊C4—22no—
1484C22⋊C4—22no—
1485C22⋊C4—22no—
1486C22⋊C4—22no—
1487C22⋊C4—22no—
1488C22⋊C4—22no—
1489C22⋊C4—22no—
1490C22⋊C4—22no—
1491C22⋊C4—22no—
1492C22⋊C4—22no—
1493C22⋊C4—41no—
1494C22⋊C4—41no—
1495C22⋊C4—41no—
1496C22⋊C4—41no—
1497C22⋊C4—41no—
1498C22⋊C4—41no—
1499C22⋊C4—41no—
1500C22⋊C4—41no—
1501C22⋊C4—41no—
1502C22⋊C4—41no—
1503C22⋊C4—41no—
1504C22⋊C4—41no—
1505C22⋊C4—41no—
1506C22⋊C4—41no—
1507C22⋊C4—41no—
1508C22⋊C4—41no—
1509C22⋊C4—41no—
1510C22⋊C4—41no—
1511C22⋊C4—41no—
1512C22⋊C4—41no—
1513C22⋊C4—41no—
1514C22⋊C4—41no—
1515C22⋊C4—41no—
1516C22⋊C4—41no—
1517C22⋊C4—41no—
1518C22⋊C4C2×D4×C7314yes—
1519C22⋊C4C2×D4×C7314yes—
1520C42—22no—
1521C42—22no—
1522C42—22no—
1523C42—22no—
1524C42—41no—
1525C42—41no—
1526C42—41no—
1527C42—41no—
1528C42C2×D4×C7314yes—
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—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—21no—
1570C23—21no—
1571C23—21no—
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—21no—
1578C23—21no—
1579C23—21no—
1580C23—21no—
1581C23—21no—
1582C23—21no—
1583C23—44no—
1584C23—82no—
1585C23—82no—
1586C23—82no—
1587C23—82no—
1588C23—82no—
1589C23—82no—
1590C23C22×D4×C7312yes—
1591C23C22×D4×C7312yes—
1592C23C25×C7311yescharacteristic
1593Q8—82no—
1594D4—44no—
1595D4—44no—
1596D4—44no—
1597D4—82no—
1598D4—82no—
1599D4—82no—
1600D4—82no—
1601D4—82no—
1602D4—82no—
1603D4—82no—
1604D4—82no—
1605D4—82no—
1606D4—82no—
1607D4—82no—
1608D4—82no—
1609D4—82no—
1610D4—82no—
1611D4—82no—
1612D4—82no—
1613D4—82no—
1614D4—82no—
1615D4—82no—
1616D4—82no—
1617D4—82no—
1618D4—82no—
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—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—44no—
1681C2×C4—44no—
1682C2×C4—44no—
1683C2×C4—44no—
1684C2×C4—44no—
1685C2×C4—82no—
1686C2×C4—82no—
1687C2×C4—82no—
1688C2×C4—82no—
1689C2×C4C22×D4×C7312yes—
1690C2×C4C22×D4×C7312yes—
1691C2×C4C22×D4×C7312yes—
1692C2×C4C22×D4×C7312yes—
1693C2×C4C22×D4×C7312yes—
1694C2×C4H(5,𝔽2)×C7312yes—
1695C2×C4H(5,𝔽2)×C7312yes—
1696C2×C4H(5,𝔽2)×C7312yes—
1697C22—22no—
1698C22—22no—
1699C22—22no—
1700C22—22no—
1701C22—22no—
1702C22—22no—
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—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—41no—
1751C22—41no—
1752C22—41no—
1753C22—88no—
1754C22C23×D4×C7311yescharacteristic
1755C22C2×H(5,𝔽2)×C7311yescharacteristic
1756C22C2×H(5,𝔽2)×C7311yescharacteristic
1757C22C2×H(5,𝔽2)×C7311yescharacteristic
1758C22#585×C7311yescharacteristic
1759C22#585×C7311yescharacteristic
1760C22#585×C7311yescharacteristic
1761C4—22no—
1762C4—22no—
1763C4—22no—
1764C4—22no—
1765C4—22no—
1766C4—22no—
1767C4—22no—
1768C4—22no—
1769C4—41no—
1770C4—41no—
1771C4—41no—
1772C4—41no—
1773C4—41no—
1774C4—41no—
1775C4—41no—
1776C4—41no—
1777C4—41no—
1778C4—41no—
1779C4—41no—
1780C4—41no—
1781C4—41no—
1782C4—41no—
1783C4—41no—
1784C2—42no—
1785C2—42no—
1786C2—81no—
1787C2—81no—
1788C2—81no—
1789C2—81no—
1790C2—81no—
1791C2—81no—
1792C2C73×#344911yescharacteristic
1793C2C73×#349611yescharacteristic
1794C2C73×#349811yescharacteristic
1795C2C73×#353411yescharacteristic
1796C2C73×#354211yescharacteristic
1797C2C73×#355111yescharacteristic
1798C2C73×#356211yescharacteristic
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×#540×C73C2semidirect
2. C2×#538×C73C2semidirect
3. C73×#2856C2semidirect
4. C73×#2854C2semidirect
5. C73×#2721C2semidirect
6. C73×#2714C2semidirect
7. C73×#2694C2semidirect
8. C73×#2681C2semidirect
9. C73×#2680C2semidirect
10. C73×#2678C2semidirect
11. C73×#2676C2semidirect
12. C73×#2675C2semidirect
13. C73×#2673C2semidirect
14. C73×#2673C2semidirect
15. C73×#2672C2semidirect
16. C73×#2671C2semidirect
17. C73×#2671C2semidirect
18. C73×#2669C2semidirect
19. C73×#2669C2semidirect
20. C73×#2668C2semidirect
21. C73×#2661C2semidirect
22. C73×#2661C2semidirect
23. C73×#2610C2semidirect
24. C73×#2603C2semidirect
25. C73×#2602C2semidirect
26. C73×#2601C2semidirect
27. C73×#2540C2semidirect
28. C73×#2539C2semidirect
29. C73×#2414C2semidirect
30. C73×#2411C2semidirect
31. C73×#2290C2semidirect
38. C2×#125×C73C22semidirect
47. C2×#123×C73C22semidirect
48. C2×#123×C73C22semidirect
50. C2×C22⋊Q8×C73C22semidirect
51. C2×C22⋊Q8×C73C22semidirect
63. C2×#121×C73C22semidirect
64. C2×#121×C73C22semidirect
65. C2×#121×C73C22semidirect
66. C2×#121×C73C22semidirect
67. C2×#121×C73C22semidirect
68. C2×#121×C73C22semidirect
76. C2×C4×D4×C73C22semidirect
78. C2×#117×C73C22semidirect
80. C22×C42×C73C22semidirect
84. #399×C73C22semidirect
85. #398×C73C22semidirect
86. #398×C73C22semidirect
87. #398×C73C22semidirect
88. #398×C73C22semidirect
92. #397×C73C22semidirect
96. #396×C73C22semidirect
97. #395×C73C22semidirect
108. #394×C73C22semidirect
109. #394×C73C22semidirect
110. #394×C73C22semidirect
111. #394×C73C22semidirect
112. #394×C73C22semidirect
113. #393×C73C22semidirect
127. #392×C73C22semidirect
128. #392×C73C22semidirect
137. #390×C73C22semidirect
138. #390×C73C22semidirect
139. #390×C73C22semidirect
140. #390×C73C22semidirect
141. #390×C73C22semidirect
142. #389×C73C22semidirect
143. #389×C73C22semidirect
144. #389×C73C22semidirect
152. #388×C73C22semidirect
153. #388×C73C22semidirect
154. #388×C73C22semidirect
155. #388×C73C22semidirect
156. #388×C73C22semidirect
157. #388×C73C22semidirect
158. #388×C73C22semidirect
159. #387×C73C22semidirect
160. #387×C73C22semidirect
161. #387×C73C22semidirect
162. #387×C73C22semidirect
171. #386×C73C22semidirect
172. #386×C73C22semidirect
173. #386×C73C22semidirect
175. #385×C73C22semidirect
176. #385×C73C22semidirect
177. #385×C73C22semidirect
178. #385×C73C22semidirect
179. #385×C73C22semidirect
180. #385×C73C22semidirect
181. #384×C73C22semidirect
182. #380×C73C22semidirect
183. #380×C73C22semidirect
185. C4×C4⋊C4×C73C22semidirect
187. C4×C22⋊C4×C73C22semidirect
188. #376×C73C22semidirect
267. C4×D4×C73D4semidirect
884. #36744C73direct (N × H)
900. C2×#540C2×C73semidirect
901. C2×#538C2×C73semidirect
902. #2856C2×C73semidirect
903. #2854C2×C73semidirect
904. #2721C2×C73semidirect
905. #2714C2×C73semidirect
906. #2694C2×C73semidirect
907. #2681C2×C73semidirect
908. #2680C2×C73semidirect
909. #2678C2×C73semidirect
910. #2676C2×C73semidirect
911. #2675C2×C73semidirect
912. #2673C2×C73semidirect
913. #2673C2×C73semidirect
914. #2672C2×C73semidirect
915. #2671C2×C73semidirect
916. #2671C2×C73semidirect
917. #2669C2×C73semidirect
918. #2669C2×C73semidirect
919. #2668C2×C73semidirect
920. #2661C2×C73semidirect
921. #2661C2×C73semidirect
922. #2610C2×C73semidirect
923. #2603C2×C73semidirect
924. #2602C2×C73semidirect
925. #2601C2×C73semidirect
926. #2540C2×C73semidirect
927. #2539C2×C73semidirect
928. #2414C2×C73semidirect
929. #2411C2×C73semidirect
930. #2290C2×C73semidirect
931. C73#36744direct (N × H)
938. C2×#125C22×C73semidirect
947. C2×#123C22×C73semidirect
948. C2×#123C22×C73semidirect
950. C2×C22⋊Q8C22×C73semidirect
951. C2×C22⋊Q8C22×C73semidirect
963. C2×#121C22×C73semidirect
964. C2×#121C22×C73semidirect
965. C2×#121C22×C73semidirect
966. C2×#121C22×C73semidirect
967. C2×#121C22×C73semidirect
968. C2×#121C22×C73semidirect
976. C2×C4×D4C22×C73semidirect
978. C2×#117C22×C73semidirect
980. C22×C42C22×C73semidirect
984. #399C22×C73semidirect
985. #398C22×C73semidirect
986. #398C22×C73semidirect
987. #398C22×C73semidirect
988. #398C22×C73semidirect
992. #397C22×C73semidirect
996. #396C22×C73semidirect
997. #395C22×C73semidirect
1008. #394C22×C73semidirect
1009. #394C22×C73semidirect
1010. #394C22×C73semidirect
1011. #394C22×C73semidirect
1012. #394C22×C73semidirect
1013. #393C22×C73semidirect
1027. #392C22×C73semidirect
1028. #392C22×C73semidirect
1037. #390C22×C73semidirect
1038. #390C22×C73semidirect
1039. #390C22×C73semidirect
1040. #390C22×C73semidirect
1041. #390C22×C73semidirect
1042. #389C22×C73semidirect
1043. #389C22×C73semidirect
1044. #389C22×C73semidirect
1052. #388C22×C73semidirect
1053. #388C22×C73semidirect
1054. #388C22×C73semidirect
1055. #388C22×C73semidirect
1056. #388C22×C73semidirect
1057. #388C22×C73semidirect
1058. #388C22×C73semidirect
1059. #387C22×C73semidirect
1060. #387C22×C73semidirect
1061. #387C22×C73semidirect
1062. #387C22×C73semidirect
1071. #386C22×C73semidirect
1072. #386C22×C73semidirect
1073. #386C22×C73semidirect
1075. #385C22×C73semidirect
1076. #385C22×C73semidirect
1077. #385C22×C73semidirect
1078. #385C22×C73semidirect
1079. #385C22×C73semidirect
1080. #385C22×C73semidirect
1081. #384C22×C73semidirect
1082. #380C22×C73semidirect
1083. #380C22×C73semidirect
1085. C4×C4⋊C4C22×C73semidirect
1087. C4×C22⋊C4C22×C73semidirect
1088. #376C22×C73semidirect
1167. C4×D4D4×C73semidirect

Maximal subgroups

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

subgroupindex
C2×#540×C732
C2×#538×C732
C73×#28562
C73×#28542
C73×#27212
C73×#27142
C73×#26942
C73×#26812
C73×#26802
C73×#26782
C73×#26762
C73×#26752
C73×#26732
C73×#26722
C73×#26712
C73×#26692
C73×#26682
C73×#26612
C73×#26102
C73×#26032
C73×#26022
C73×#26012
C73×#25402
C73×#25392
C73×#24142
C73×#24112
C73×#22902
#3674473