Finite Group Databasebeta

← C73×#36712 #32946116

Subgroups — C73×#36712 #32946116

Order 18688.

2440 conjugacy classes of subgroups.

The subgroup lattice has 1676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#542×C73C211yesmaximal, characteristic, complemented
2C2×#525×C73C211yesmaximal, characteristic, complemented
3C73×#2849C211yesmaximal, characteristic, complemented
4C73×#2848C211yesmaximal, characteristic, complemented
5C73×#2696C211yesmaximal, characteristic, complemented
6C73×#2695C211yesmaximal, characteristic, complemented
7C73×#2692C211yesmaximal, characteristic, complemented
8C73×#2691C211yesmaximal, characteristic, complemented
9C73×#2689C211yesmaximal, characteristic, complemented
10C73×#2686C211yesmaximal, characteristic, complemented
11C73×#2685C211yesmaximal, characteristic, complemented
12C73×#2684C211yesmaximal, characteristic, complemented
13C73×#2677C211yesmaximal, characteristic, complemented
14C73×#2676C211yesmaximal, characteristic, complemented
15C73×#2674C211yesmaximal, characteristic, complemented
16C73×#2674C211yesmaximal, characteristic, complemented
17C73×#2672C211yesmaximal, characteristic, complemented
18C73×#2671C211yesmaximal, characteristic, complemented
19C73×#2670C211yesmaximal, characteristic, complemented
20C73×#2668C211yesmaximal, characteristic, complemented
21C73×#2638C211yesmaximal, characteristic, complemented
22C73×#2630C211yesmaximal, characteristic, complemented
23C73×#2609C211yesmaximal, characteristic, complemented
24C73×#2602C211yesmaximal, characteristic, complemented
25C73×#2599C211yesmaximal, characteristic, complemented
26C73×#2598C211yesmaximal, characteristic, complemented
27C73×#2580C211yesmaximal, characteristic, complemented
28C73×#2564C211yesmaximal, characteristic, complemented
29C73×#2432C211yesmaximal, characteristic, complemented
30C73×#2430C211yesmaximal, characteristic, complemented
31C73×#2318C211yesmaximal, characteristic, complemented
32C22×#41×C73C2211yescharacteristic
33C24×C4×C73C2211yescharacteristic
34#542×C73—28no—
35C2×C4⋊Q8×C73C2211yescharacteristic, complemented
36C2×C4⋊Q8×C73C2211yescharacteristic, complemented
37C2×#126×C73C2211yescharacteristic
38C2×#126×C73C2211yescharacteristic, complemented
39C2×#124×C73C2211yescharacteristic
40C2×#124×C73C2211yescharacteristic
41C2×#124×C73C2211yescharacteristic
42C2×#124×C73C2211yescharacteristic, complemented
43#525×C73—28no—
44C2×#123×C73C2211yescharacteristic
45C2×#123×C73C2211yescharacteristic
46C2×#123×C73C2211yescharacteristic
47C2×#123×C73C2211yescharacteristic
48C2×#123×C73C2211yescharacteristic, complemented
49C2×C22⋊Q8×C73C2211yescharacteristic
50C2×C22⋊Q8×C73C2211yescharacteristic
51C2×C22⋊Q8×C73C2211yescharacteristic
52C2×C22⋊Q8×C73C2211yescharacteristic
53C2×C22⋊Q8×C73C2211yescharacteristic
54C2×C22⋊Q8×C73C2211yescharacteristic, complemented
55C2×C22⋊Q8×C73C2211yescharacteristic, complemented
56C2×#121×C73C2211yescharacteristic
57C2×#121×C73C2211yescharacteristic
58C2×#121×C73C2211yescharacteristic
59C2×#121×C73C2211yescharacteristic
60C2×#121×C73C2211yescharacteristic, complemented
61C2×#120×C73C2211yescharacteristic
62C2×#120×C73C2211yescharacteristic
63C2×#120×C73C2211yescharacteristic
64C2×C4×Q8×C73C2211yescharacteristic, complemented
65C2×C4×D4×C73C2211yescharacteristic
66C2×C4×D4×C73C2211yescharacteristic
67C2×C4×D4×C73C2211yescharacteristic
68C2×C4×D4×C73C2211yescharacteristic
69C2×#117×C73C2211yescharacteristic
70C2×#117×C73C2211yescharacteristic, complemented
71#400×C73C2211yescharacteristic, complemented
72#400×C73C2211yescharacteristic, complemented
73#399×C73C2211yescharacteristic
74#399×C73C2211yescharacteristic
75#399×C73C2211yescharacteristic, complemented
76#399×C73C2211yescharacteristic, complemented
77#398×C73C2211yescharacteristic, complemented
78#398×C73C2211yescharacteristic, complemented
79#398×C73C2211yescharacteristic, complemented
80#398×C73C2211yescharacteristic, complemented
81#397×C73C2211yescharacteristic
82#397×C73C2211yescharacteristic
83#397×C73C2211yescharacteristic
84#397×C73C2211yescharacteristic
85#397×C73C2211yescharacteristic, complemented
86#397×C73C2211yescharacteristic, complemented
87#396×C73C2211yescharacteristic
88#396×C73C2211yescharacteristic, complemented
89#396×C73C2211yescharacteristic, complemented
90#396×C73C2211yescharacteristic, complemented
91#395×C73C2211yescharacteristic, complemented
92#395×C73C2211yescharacteristic, complemented
93#395×C73C2211yescharacteristic, complemented
94#395×C73C2211yescharacteristic, complemented
95#394×C73C2211yescharacteristic
96#394×C73C2211yescharacteristic
97#394×C73C2211yescharacteristic
98#394×C73C2211yescharacteristic
99#394×C73C2211yescharacteristic
100#394×C73C2211yescharacteristic
101#394×C73C2211yescharacteristic
102#394×C73C2211yescharacteristic
103#394×C73C2211yescharacteristic
104#394×C73C2211yescharacteristic
105#394×C73C2211yescharacteristic, complemented
106#394×C73C2211yescharacteristic, complemented
107#394×C73C2211yescharacteristic, complemented
108#394×C73C2211yescharacteristic, complemented
109#393×C73C2211yescharacteristic
110#393×C73C2211yescharacteristic
111#393×C73C2211yescharacteristic
112#393×C73C2211yescharacteristic, complemented
113#393×C73C2211yescharacteristic, complemented
114#393×C73C2211yescharacteristic, complemented
115#392×C73C2211yescharacteristic
116#392×C73C2211yescharacteristic
117#392×C73C2211yescharacteristic
118#392×C73C2211yescharacteristic
119#391×C73C2211yescharacteristic, complemented
120#390×C73C2211yescharacteristic
121#390×C73C2211yescharacteristic
122#390×C73C2211yescharacteristic
123#390×C73C2211yescharacteristic
124#389×C73C2211yescharacteristic, complemented
125#389×C73C2211yescharacteristic, complemented
126#389×C73C2211yescharacteristic, complemented
127#388×C73C2211yescharacteristic
128#388×C73C2211yescharacteristic
129#388×C73C2211yescharacteristic
130#388×C73C2211yescharacteristic
131#388×C73C2211yescharacteristic
132#388×C73C2211yescharacteristic
133#388×C73C2211yescharacteristic
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#387×C73C2211yescharacteristic, complemented
142#387×C73C2211yescharacteristic, complemented
143#387×C73C2211yescharacteristic, complemented
144#387×C73C2211yescharacteristic, complemented
145#386×C73C2211yescharacteristic
146#386×C73C2211yescharacteristic
147#386×C73C2211yescharacteristic
148#386×C73C2211yescharacteristic
149#386×C73C2211yescharacteristic
150#386×C73C2211yescharacteristic
151#386×C73C2211yescharacteristic
152#386×C73C2211yescharacteristic
153#386×C73C2211yescharacteristic
154#386×C73C2211yescharacteristic
155#386×C73C2211yescharacteristic
156#386×C73C2211yescharacteristic, complemented
157#386×C73C2211yescharacteristic, complemented
158#386×C73C2211yescharacteristic, complemented
159#385×C73C2211yescharacteristic
160#385×C73C2211yescharacteristic
161#385×C73C2211yescharacteristic
162#385×C73C2211yescharacteristic
163#385×C73C2211yescharacteristic
164#385×C73C2211yescharacteristic
165#385×C73C2211yescharacteristic
166#385×C73C2211yescharacteristic
167#385×C73C2211yescharacteristic
168#385×C73C2211yescharacteristic
169#385×C73C2211yescharacteristic, complemented
170#385×C73C2211yescharacteristic, complemented
171#385×C73C2211yescharacteristic, complemented
172#385×C73C2211yescharacteristic, complemented
173#385×C73C2211yescharacteristic, complemented
174#385×C73C2211yescharacteristic, complemented
175#383×C73C2211yescharacteristic, complemented
176#382×C73C2211yescharacteristic, complemented
177#381×C73C2211yescharacteristic
178#381×C73C2211yescharacteristic
179#380×C73C2211yescharacteristic
180#380×C73C2211yescharacteristic
181#380×C73C2211yescharacteristic
182#380×C73C2211yescharacteristic, complemented
183#380×C73C2211yescharacteristic, complemented
184#379×C73C2211yescharacteristic
185#379×C73C2211yescharacteristic
186#379×C73C2211yescharacteristic
187C4×C22⋊C4×C73C2211yescharacteristic, complemented
188C2×#95×C73C2211yescharacteristic, complemented
189C25×C73C2311yescharacteristic
190C2×#41×C73—24no—
191C2×#41×C73—42no—
192C2×#41×C73—42no—
193C22×Q8×C73C2311yescharacteristic
194C22×Q8×C73C2311yescharacteristic
195C22×Q8×C73C2311yescharacteristic
196C22×Q8×C73C2311yescharacteristic
197C22×D4×C73C2311yescharacteristic
198C22×D4×C73C2311yescharacteristic
199C22×D4×C73C2311yescharacteristic
200C22×D4×C73C2311yescharacteristic
201C22×D4×C73C2311yescharacteristic
202C22×D4×C73C2311yescharacteristic
203C22×D4×C73C2311yescharacteristic
204C22×D4×C73C2311yescharacteristic
205C22×D4×C73C2311yescharacteristic
206C22×D4×C73C2311yescharacteristic
207C22×D4×C73C2311yescharacteristic
208C22×D4×C73C2311yescharacteristic
209C23×C4×C73—24no—
210C23×C4×C73—42no—
211C23×C4×C73—42no—
212C23×C4×C73C2311yescharacteristic
213C23×C4×C73C2311yescharacteristic
214C23×C4×C73C2311yescharacteristic
215C23×C4×C73C2311yescharacteristic
216C23×C4×C73C2311yescharacteristic
217C23×C4×C73C2311yescharacteristic
218C23×C4×C73C2311yescharacteristic
219C23×C4×C73C2311yescharacteristic
220C23×C4×C73C2311yescharacteristic
221C23×C4×C73C2311yescharacteristic
222C23×C4×C73C2311yescharacteristic
223C4⋊Q8×C73—24no—
224C4⋊Q8×C73—42no—
225#126×C73—24no—
226#126×C73—24no—
227#124×C73—24no—
228#124×C73—24no—
229#124×C73—24no—
230#124×C73—42no—
231#123×C73—24no—
232#123×C73—24no—
233#123×C73—24no—
234#123×C73—24no—
235#123×C73—42no—
236C22⋊Q8×C73—24no—
237C22⋊Q8×C73—24no—
238C22⋊Q8×C73—24no—
239C22⋊Q8×C73—24no—
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—42no—
247#121×C73—42no—
248#120×C73—24no—
249#120×C73—24no—
250#120×C73—42no—
251C4×Q8×C73—24no—
252C4×D4×C73—24no—
253C4×D4×C73—24no—
254C4×D4×C73—24no—
255C4×D4×C73D418yescomplemented
256#117×C73—24no—
257#117×C73—24no—
258C2×C4⋊C4×C73C2311yescharacteristic
259C2×C4⋊C4×C73C2311yescharacteristic
260C2×C4⋊C4×C73C2311yescharacteristic
261C2×C4⋊C4×C73C2311yescharacteristic
262C2×C4⋊C4×C73C2311yescharacteristic
263C2×C4⋊C4×C73C2311yescharacteristic
264C2×C4⋊C4×C73C2311yescharacteristic
265C2×C4⋊C4×C73C2311yescharacteristic
266C2×C4⋊C4×C73C2311yescharacteristic
267C2×C4⋊C4×C73C2311yescharacteristic
268C2×C4⋊C4×C73C2311yescharacteristic
269C2×C4⋊C4×C73C2311yescharacteristic
270C2×C4⋊C4×C73C2311yescharacteristic
271C2×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×C22⋊C4×C73C2311yescharacteristic
291C2×C22⋊C4×C73C2311yescharacteristic
292C2×C22⋊C4×C73C2311yescharacteristic
293C2×C22⋊C4×C73C2311yescharacteristic
294C2×C22⋊C4×C73C2311yescharacteristic
295C2×C22⋊C4×C73C2311yescharacteristic
296C2×C22⋊C4×C73C2311yescharacteristic
297C2×C22⋊C4×C73C2311yescharacteristic
298C2×C22⋊C4×C73C2311yescharacteristic
299C2×C22⋊C4×C73C2311yescharacteristic
300C2×C22⋊C4×C73C2311yescharacteristic
301C2×C22⋊C4×C73C2311yescharacteristic
302C2×C22⋊C4×C73C2311yescharacteristic
303C2×C22⋊C4×C73C2311yescharacteristic
304C2×C22⋊C4×C73C2311yescharacteristic
305C2×C22⋊C4×C73C2311yescharacteristic
306C2×C22⋊C4×C73C2311yescharacteristic
307C2×C22⋊C4×C73C2311yescharacteristic
308C2×C22⋊C4×C73C2311yescharacteristic
309C2×C22⋊C4×C73C2311yescharacteristic
310C2×C22⋊C4×C73C2311yescharacteristic
311C2×C22⋊C4×C73C2311yescharacteristic
312C2×C22⋊C4×C73C2311yescharacteristic
313C2×C22⋊C4×C73C2311yescharacteristic
314C2×C22⋊C4×C73C2311yescharacteristic
315C2×C22⋊C4×C73C2311yescharacteristic
316C2×C22⋊C4×C73C2311yescharacteristic
317C2×C22⋊C4×C73C2311yescharacteristic
318C2×C22⋊C4×C73C2311yescharacteristic
319C2×C22⋊C4×C73C2311yescharacteristic
320C2×C22⋊C4×C73C2311yescharacteristic
321C2×C22⋊C4×C73C2311yescharacteristic
322C2×C22⋊C4×C73C2311yescharacteristic
323C2×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×C42×C73C2311yescharacteristic
343C2×C42×C73C2311yescharacteristic
344C2×C42×C73C2311yescharacteristic
345C2×C42×C73C2311yescharacteristic
346C2×C42×C73C2311yescharacteristic
347C2×C42×C73C2311yescharacteristic
348C2×C42×C73C2311yescharacteristic
349#95×C73C2311yescharacteristic
350#95×C73C2311yescharacteristic
351#95×C73C2311yescharacteristic
352#95×C73C2311yescharacteristic
353#95×C73C2311yescharacteristic
354#95×C73C2311yescharacteristic
355#95×C73C2311yescharacteristic
356#95×C73C2311yescharacteristic
357#95×C73C2311yescharacteristic
358#95×C73C2311yescharacteristic
359#95×C73C2311yescharacteristic
360#95×C73C2311yescharacteristic
361#95×C73C2311yescharacteristic
362#95×C73C2311yescharacteristic
363#95×C73C2311yescharacteristic
364#95×C73C2311yescharacteristic
365#95×C73C2311yescharacteristic
366#95×C73C2311yescharacteristic
367#95×C73C2311yescharacteristic
368#95×C73C2311yescharacteristic
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
385C24×C73—22no—
386C24×C73—22no—
387C24×C73—22no—
388C24×C73—41no—
389C24×C73—41no—
390C24×C73—41no—
391C24×C73—41no—
392C24×C73C2411yescharacteristic
393C24×C73C2411yescharacteristic
394C24×C73C2411yescharacteristic
395C24×C73C2411yescharacteristic
396C24×C73C2411yescharacteristic
397C24×C73C2411yescharacteristic
398#41×C73—416no—
399C2×Q8×C73—22no—
400C2×Q8×C73—22no—
401C2×Q8×C73—22no—
402C2×Q8×C73—22no—
403C2×Q8×C73—22no—
404C2×Q8×C73—41no—
405C2×Q8×C73—41no—
406C2×Q8×C73—41no—
407C2×Q8×C73—41no—
408C2×Q8×C73—41no—
409C2×Q8×C73—41no—
410C2×Q8×C73—41no—
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—41no—
427C2×D4×C73—41no—
428C2×D4×C73—41no—
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×C73C2×D414yes—
447C22×C4×C73—22no—
448C22×C4×C73—22no—
449C22×C4×C73—22no—
450C22×C4×C73—22no—
451C22×C4×C73—22no—
452C22×C4×C73—22no—
453C22×C4×C73—22no—
454C22×C4×C73—22no—
455C22×C4×C73—22no—
456C22×C4×C73—22no—
457C22×C4×C73—22no—
458C22×C4×C73—22no—
459C22×C4×C73—41no—
460C22×C4×C73—41no—
461C22×C4×C73—41no—
462C22×C4×C73—41no—
463C22×C4×C73—41no—
464C22×C4×C73—41no—
465C22×C4×C73—41no—
466C22×C4×C73—41no—
467C22×C4×C73—41no—
468C22×C4×C73—41no—
469C22×C4×C73—41no—
470C22×C4×C73—41no—
471C22×C4×C73—41no—
472C22×C4×C73—41no—
473C22×C4×C73—41no—
474C22×C4×C73—41no—
475C22×C4×C73—41no—
476C22×C4×C73—41no—
477C22×C4×C73—41no—
478C22×C4×C73—416no—
479C22×C4×C73C2×D414yes—
480C22×C4×C73C2×D414yes—
481C22×C4×C73C2411yescharacteristic
482C22×C4×C73C2411yescharacteristic
483C22×C4×C73C2411yescharacteristic
484C22×C4×C73C2411yescharacteristic
485C22×C4×C73C2411yescharacteristic
486C22×C4×C73C2411yescharacteristic
487C22×C4×C73C2411yescharacteristic
488C22×C4×C73C2411yescharacteristic
489C22×C4×C73C2411yescharacteristic
490C22×C4×C73C2411yescharacteristic
491C22×C4×C73C2411yescharacteristic
492C22×C4×C73C2411yescharacteristic
493C22×C4×C73C2411yescharacteristic
494C22×C4×C73C2411yescharacteristic
495C22×C4×C73C2411yescharacteristic
496C22×C4×C73C2411yescharacteristic
497C22×C4×C73C2411yescharacteristic
498C22×C4×C73C2411yescharacteristic
499C22×C4×C73C2411yescharacteristic
500C22×C4×C73C2411yescharacteristic
501C22×C4×C73C2411yescharacteristic
502C22×C4×C73C2411yescharacteristic
503C22×C4×C73C2411yescharacteristic
504C22×C4×C73C2411yescharacteristic
505C22×C4×C73C2411yescharacteristic
506C4⋊C4×C73—22no—
507C4⋊C4×C73—22no—
508C4⋊C4×C73—22no—
509C4⋊C4×C73—22no—
510C4⋊C4×C73—22no—
511C4⋊C4×C73—22no—
512C4⋊C4×C73—22no—
513C4⋊C4×C73—22no—
514C4⋊C4×C73—22no—
515C4⋊C4×C73—22no—
516C4⋊C4×C73—22no—
517C4⋊C4×C73—22no—
518C4⋊C4×C73—22no—
519C4⋊C4×C73—22no—
520C4⋊C4×C73—22no—
521C4⋊C4×C73—22no—
522C4⋊C4×C73—22no—
523C4⋊C4×C73—41no—
524C4⋊C4×C73—41no—
525C4⋊C4×C73—41no—
526C4⋊C4×C73—41no—
527C4⋊C4×C73—41no—
528C4⋊C4×C73—41no—
529C4⋊C4×C73—41no—
530C4⋊C4×C73—41no—
531C4⋊C4×C73—41no—
532C4⋊C4×C73—41no—
533C4⋊C4×C73—41no—
534C4⋊C4×C73—41no—
535C4⋊C4×C73—41no—
536C4⋊C4×C73—41no—
537C4⋊C4×C73C2×D414yes—
538C22⋊C4×C73—22no—
539C22⋊C4×C73—22no—
540C22⋊C4×C73—22no—
541C22⋊C4×C73—22no—
542C22⋊C4×C73—22no—
543C22⋊C4×C73—22no—
544C22⋊C4×C73—22no—
545C22⋊C4×C73—22no—
546C22⋊C4×C73—22no—
547C22⋊C4×C73—22no—
548C22⋊C4×C73—22no—
549C22⋊C4×C73—22no—
550C22⋊C4×C73—22no—
551C22⋊C4×C73—22no—
552C22⋊C4×C73—22no—
553C22⋊C4×C73—22no—
554C22⋊C4×C73—22no—
555C22⋊C4×C73—22no—
556C22⋊C4×C73—22no—
557C22⋊C4×C73—22no—
558C22⋊C4×C73—22no—
559C22⋊C4×C73—22no—
560C22⋊C4×C73—22no—
561C22⋊C4×C73—41no—
562C22⋊C4×C73—41no—
563C22⋊C4×C73—41no—
564C22⋊C4×C73—41no—
565C22⋊C4×C73—41no—
566C22⋊C4×C73—41no—
567C22⋊C4×C73—41no—
568C22⋊C4×C73—41no—
569C22⋊C4×C73—41no—
570C22⋊C4×C73—41no—
571C22⋊C4×C73—41no—
572C22⋊C4×C73—41no—
573C22⋊C4×C73—41no—
574C22⋊C4×C73—41no—
575C22⋊C4×C73—41no—
576C22⋊C4×C73—41no—
577C22⋊C4×C73—41no—
578C22⋊C4×C73—41no—
579C22⋊C4×C73—41no—
580C22⋊C4×C73—41no—
581C22⋊C4×C73—41no—
582C22⋊C4×C73—41no—
583C22⋊C4×C73—41no—
584C22⋊C4×C73—41no—
585C22⋊C4×C73—41no—
586C22⋊C4×C73—41no—
587C22⋊C4×C73—41no—
588C22⋊C4×C73C2×D414yes—
589C22⋊C4×C73C2×D414yes—
590C42×C73—22no—
591C42×C73—22no—
592C42×C73—22no—
593C42×C73—22no—
594C42×C73—41no—
595C42×C73—41no—
596C42×C73C2×D414yes—
597C23×C73—21no—
598C23×C73—21no—
599C23×C73—21no—
600C23×C73—21no—
601C23×C73—21no—
602C23×C73—21no—
603C23×C73—21no—
604C23×C73—21no—
605C23×C73—21no—
606C23×C73—21no—
607C23×C73—21no—
608C23×C73—21no—
609C23×C73—21no—
610C23×C73—21no—
611C23×C73—21no—
612C23×C73—21no—
613C23×C73—21no—
614C23×C73—21no—
615C23×C73—21no—
616C23×C73—21no—
617C23×C73—21no—
618C23×C73—21no—
619C23×C73—21no—
620C23×C73—21no—
621C23×C73—21no—
622C23×C73—21no—
623C23×C73—21no—
624C23×C73—21no—
625C23×C73—21no—
626C23×C73—21no—
627C23×C73—21no—
628C23×C73—21no—
629C23×C73—21no—
630C23×C73—21no—
631C23×C73—21no—
632C23×C73—21no—
633C23×C73—21no—
634C23×C73—21no—
635C23×C73—44no—
636C23×C73—44no—
637C23×C73—44no—
638C23×C73—44no—
639C23×C73—44no—
640C23×C73—44no—
641C23×C73—44no—
642C23×C73C22×D412yes—
643C23×C73C22×D412yes—
644C23×C73H(5,𝔽2)12yes—
645C23×C732−1+412yes—
646C23×C73C2511yescharacteristic
647Q8×C73—44no—
648Q8×C73—44no—
649Q8×C73—82no—
650Q8×C73—82no—
651D4×C73—44no—
652D4×C73—44no—
653D4×C73—44no—
654D4×C73—44no—
655D4×C73—44no—
656D4×C73—44no—
657D4×C73—44no—
658D4×C73—82no—
659D4×C73—82no—
660D4×C73—82no—
661D4×C73—82no—
662D4×C73—82no—
663C2×C4×C73—28no—
664C2×C4×C73—21no—
665C2×C4×C73—21no—
666C2×C4×C73—21no—
667C2×C4×C73—21no—
668C2×C4×C73—21no—
669C2×C4×C73—21no—
670C2×C4×C73—21no—
671C2×C4×C73—21no—
672C2×C4×C73—21no—
673C2×C4×C73—21no—
674C2×C4×C73—21no—
675C2×C4×C73—21no—
676C2×C4×C73—21no—
677C2×C4×C73—21no—
678C2×C4×C73—21no—
679C2×C4×C73—21no—
680C2×C4×C73—21no—
681C2×C4×C73—21no—
682C2×C4×C73—21no—
683C2×C4×C73—21no—
684C2×C4×C73—21no—
685C2×C4×C73—21no—
686C2×C4×C73—21no—
687C2×C4×C73—21no—
688C2×C4×C73—21no—
689C2×C4×C73—21no—
690C2×C4×C73—21no—
691C2×C4×C73—21no—
692C2×C4×C73—21no—
693C2×C4×C73—21no—
694C2×C4×C73—21no—
695C2×C4×C73—21no—
696C2×C4×C73—21no—
697C2×C4×C73—21no—
698C2×C4×C73—21no—
699C2×C4×C73—21no—
700C2×C4×C73—21no—
701C2×C4×C73—21no—
702C2×C4×C73—21no—
703C2×C4×C73—21no—
704C2×C4×C73—21no—
705C2×C4×C73—21no—
706C2×C4×C73—21no—
707C2×C4×C73—21no—
708C2×C4×C73—21no—
709C2×C4×C73—21no—
710C2×C4×C73—21no—
711C2×C4×C73—21no—
712C2×C4×C73—21no—
713C2×C4×C73—21no—
714C2×C4×C73—21no—
715C2×C4×C73—21no—
716C2×C4×C73—21no—
717C2×C4×C73—21no—
718C2×C4×C73—21no—
719C2×C4×C73—21no—
720C2×C4×C73—21no—
721C2×C4×C73—21no—
722C2×C4×C73—21no—
723C2×C4×C73—21no—
724C2×C4×C73—21no—
725C2×C4×C73—21no—
726C2×C4×C73—21no—
727C2×C4×C73—21no—
728C2×C4×C73—21no—
729C2×C4×C73—21no—
730C2×C4×C73—21no—
731C2×C4×C73—21no—
732C2×C4×C73—21no—
733C2×C4×C73—44no—
734C2×C4×C73—44no—
735C2×C4×C73—44no—
736C2×C4×C73—44no—
737C2×C4×C73—44no—
738C2×C4×C73—44no—
739C2×C4×C73—44no—
740C2×C4×C73—44no—
741C2×C4×C73—82no—
742C2×C4×C73—82no—
743C2×C4×C73C22×D412yes—
744C2×C4×C73C22×D412yes—
745C2×C4×C73C22×D412yes—
746C2×C4×C73C22×D412yes—
747C2×C4×C73C22×D412yes—
748C2×C4×C73H(5,𝔽2)12yes—
749C22×C73—22no—
750C22×C73—22no—
751C22×C73—22no—
752C22×C73—22no—
753C22×C73—22no—
754C22×C73—22no—
755C22×C73—22no—
756C22×C73—22no—
757C22×C73—22no—
758C22×C73—22no—
759C22×C73—22no—
760C22×C73—22no—
761C22×C73—416no—
762C22×C73—41no—
763C22×C73—41no—
764C22×C73—41no—
765C22×C73—41no—
766C22×C73—41no—
767C22×C73—41no—
768C22×C73—41no—
769C22×C73—41no—
770C22×C73—41no—
771C22×C73—41no—
772C22×C73—41no—
773C22×C73—41no—
774C22×C73—41no—
775C22×C73—41no—
776C22×C73—41no—
777C22×C73—41no—
778C22×C73—41no—
779C22×C73—41no—
780C22×C73—41no—
781C22×C73—41no—
782C22×C73—41no—
783C22×C73—41no—
784C22×C73—41no—
785C22×C73—41no—
786C22×C73—41no—
787C22×C73—41no—
788C22×C73—41no—
789C22×C73—41no—
790C22×C73—41no—
791C22×C73—41no—
792C22×C73C23×D411yescharacteristic
793C22×C73C2×H(5,𝔽2)11yescharacteristic
794C22×C73C2×H(5,𝔽2)11yescharacteristic
795C22×C73C2×2−1+411yescharacteristic
796C22×C73#58511yescharacteristic
797C22×C73#58511yescharacteristic
798C22×C73#58511yescharacteristic
799C4×C73—22no—
800C4×C73—22no—
801C4×C73—22no—
802C4×C73—22no—
803C4×C73—22no—
804C4×C73—22no—
805C4×C73—41no—
806C4×C73—41no—
807C4×C73—41no—
808C4×C73—41no—
809C4×C73—41no—
810C4×C73—41no—
811C4×C73—41no—
812C4×C73—41no—
813C4×C73—41no—
814C4×C73—41no—
815C4×C73—41no—
816C4×C73—41no—
817C4×C73—41no—
818C4×C73—41no—
819C4×C73—41no—
820C4×C73—41no—
821C4×C73—41no—
822C4×C73—41no—
823C4×C73—41no—
824#36712C7311yesmaximal, characteristic, direct product factor, Sylow
825C2×C73—42no—
826C2×C73—42no—
827C2×C73—42no—
828C2×C73—42no—
829C2×C73—81no—
830C2×C73—81no—
831C2×C73#344911yescharacteristic
832C2×C73#348411yescharacteristic
833C2×C73#348911yescharacteristic
834C2×C73#353311yescharacteristic
835C2×C73#353511yescharacteristic
836C2×C73#354011yescharacteristic
837C2×C73#354111yescharacteristic
838C2×#542C2×C7311yescharacteristic, complemented
839C2×#525C2×C7311yescharacteristic, complemented
840#2849C2×C7311yescharacteristic, complemented
841#2848C2×C7311yescharacteristic, complemented
842#2696C2×C7311yescharacteristic, complemented
843#2695C2×C7311yescharacteristic, complemented
844#2692C2×C7311yescharacteristic, complemented
845#2691C2×C7311yescharacteristic, complemented
846#2689C2×C7311yescharacteristic, complemented
847#2686C2×C7311yescharacteristic, complemented
848#2685C2×C7311yescharacteristic, complemented
849#2684C2×C7311yescharacteristic, complemented
850#2677C2×C7311yescharacteristic, complemented
851#2676C2×C7311yescharacteristic, complemented
852#2674C2×C7311yescharacteristic, complemented
853#2674C2×C7311yescharacteristic, complemented
854#2672C2×C7311yescharacteristic, complemented
855#2671C2×C7311yescharacteristic, complemented
856#2670C2×C7311yescharacteristic, complemented
857#2668C2×C7311yescharacteristic, complemented
858#2638C2×C7311yescharacteristic, complemented
859#2630C2×C7311yescharacteristic, complemented
860#2609C2×C7311yescharacteristic, complemented
861#2602C2×C7311yescharacteristic, complemented
862#2599C2×C7311yescharacteristic, complemented
863#2598C2×C7311yescharacteristic, complemented
864#2580C2×C7311yescharacteristic, complemented
865#2564C2×C7311yescharacteristic, complemented
866#2432C2×C7311yescharacteristic, complemented
867#2430C2×C7311yescharacteristic, complemented
868#2318C2×C7311yescharacteristic, complemented
869C73#3671211yescharacteristic, direct product factor, Sylow
870C22×#41C22×C7311yescharacteristic
871C24×C4C22×C7311yescharacteristic
872#542—28no—
873C2×C4⋊Q8C22×C7311yescharacteristic, complemented
874C2×C4⋊Q8C22×C7311yescharacteristic, complemented
875C2×#126C22×C7311yescharacteristic
876C2×#126C22×C7311yescharacteristic, complemented
877C2×#124C22×C7311yescharacteristic
878C2×#124C22×C7311yescharacteristic
879C2×#124C22×C7311yescharacteristic
880C2×#124C22×C7311yescharacteristic, complemented
881#525—28no—
882C2×#123C22×C7311yescharacteristic
883C2×#123C22×C7311yescharacteristic
884C2×#123C22×C7311yescharacteristic
885C2×#123C22×C7311yescharacteristic
886C2×#123C22×C7311yescharacteristic, complemented
887C2×C22⋊Q8C22×C7311yescharacteristic
888C2×C22⋊Q8C22×C7311yescharacteristic
889C2×C22⋊Q8C22×C7311yescharacteristic
890C2×C22⋊Q8C22×C7311yescharacteristic
891C2×C22⋊Q8C22×C7311yescharacteristic
892C2×C22⋊Q8C22×C7311yescharacteristic, complemented
893C2×C22⋊Q8C22×C7311yescharacteristic, complemented
894C2×#121C22×C7311yescharacteristic
895C2×#121C22×C7311yescharacteristic
896C2×#121C22×C7311yescharacteristic
897C2×#121C22×C7311yescharacteristic
898C2×#121C22×C7311yescharacteristic, complemented
899C2×#120C22×C7311yescharacteristic
900C2×#120C22×C7311yescharacteristic
901C2×#120C22×C7311yescharacteristic
902C2×C4×Q8C22×C7311yescharacteristic, complemented
903C2×C4×D4C22×C7311yescharacteristic
904C2×C4×D4C22×C7311yescharacteristic
905C2×C4×D4C22×C7311yescharacteristic
906C2×C4×D4C22×C7311yescharacteristic
907C2×#117C22×C7311yescharacteristic
908C2×#117C22×C7311yescharacteristic, complemented
909#400C22×C7311yescharacteristic, complemented
910#400C22×C7311yescharacteristic, complemented
911#399C22×C7311yescharacteristic
912#399C22×C7311yescharacteristic
913#399C22×C7311yescharacteristic, complemented
914#399C22×C7311yescharacteristic, complemented
915#398C22×C7311yescharacteristic, complemented
916#398C22×C7311yescharacteristic, complemented
917#398C22×C7311yescharacteristic, complemented
918#398C22×C7311yescharacteristic, complemented
919#397C22×C7311yescharacteristic
920#397C22×C7311yescharacteristic
921#397C22×C7311yescharacteristic
922#397C22×C7311yescharacteristic
923#397C22×C7311yescharacteristic, complemented
924#397C22×C7311yescharacteristic, complemented
925#396C22×C7311yescharacteristic
926#396C22×C7311yescharacteristic, complemented
927#396C22×C7311yescharacteristic, complemented
928#396C22×C7311yescharacteristic, complemented
929#395C22×C7311yescharacteristic, complemented
930#395C22×C7311yescharacteristic, complemented
931#395C22×C7311yescharacteristic, complemented
932#395C22×C7311yescharacteristic, complemented
933#394C22×C7311yescharacteristic
934#394C22×C7311yescharacteristic
935#394C22×C7311yescharacteristic
936#394C22×C7311yescharacteristic
937#394C22×C7311yescharacteristic
938#394C22×C7311yescharacteristic
939#394C22×C7311yescharacteristic
940#394C22×C7311yescharacteristic
941#394C22×C7311yescharacteristic
942#394C22×C7311yescharacteristic
943#394C22×C7311yescharacteristic, complemented
944#394C22×C7311yescharacteristic, complemented
945#394C22×C7311yescharacteristic, complemented
946#394C22×C7311yescharacteristic, complemented
947#393C22×C7311yescharacteristic
948#393C22×C7311yescharacteristic
949#393C22×C7311yescharacteristic
950#393C22×C7311yescharacteristic, complemented
951#393C22×C7311yescharacteristic, complemented
952#393C22×C7311yescharacteristic, complemented
953#392C22×C7311yescharacteristic
954#392C22×C7311yescharacteristic
955#392C22×C7311yescharacteristic
956#392C22×C7311yescharacteristic
957#391C22×C7311yescharacteristic, complemented
958#390C22×C7311yescharacteristic
959#390C22×C7311yescharacteristic
960#390C22×C7311yescharacteristic
961#390C22×C7311yescharacteristic
962#389C22×C7311yescharacteristic, complemented
963#389C22×C7311yescharacteristic, complemented
964#389C22×C7311yescharacteristic, complemented
965#388C22×C7311yescharacteristic
966#388C22×C7311yescharacteristic
967#388C22×C7311yescharacteristic
968#388C22×C7311yescharacteristic
969#388C22×C7311yescharacteristic
970#388C22×C7311yescharacteristic
971#388C22×C7311yescharacteristic
972#388C22×C7311yescharacteristic, complemented
973#388C22×C7311yescharacteristic, complemented
974#388C22×C7311yescharacteristic, complemented
975#387C22×C7311yescharacteristic, complemented
976#387C22×C7311yescharacteristic, complemented
977#387C22×C7311yescharacteristic, complemented
978#387C22×C7311yescharacteristic, complemented
979#387C22×C7311yescharacteristic, complemented
980#387C22×C7311yescharacteristic, complemented
981#387C22×C7311yescharacteristic, complemented
982#387C22×C7311yescharacteristic, complemented
983#386C22×C7311yescharacteristic
984#386C22×C7311yescharacteristic
985#386C22×C7311yescharacteristic
986#386C22×C7311yescharacteristic
987#386C22×C7311yescharacteristic
988#386C22×C7311yescharacteristic
989#386C22×C7311yescharacteristic
990#386C22×C7311yescharacteristic
991#386C22×C7311yescharacteristic
992#386C22×C7311yescharacteristic
993#386C22×C7311yescharacteristic
994#386C22×C7311yescharacteristic, complemented
995#386C22×C7311yescharacteristic, complemented
996#386C22×C7311yescharacteristic, complemented
997#385C22×C7311yescharacteristic
998#385C22×C7311yescharacteristic
999#385C22×C7311yescharacteristic
1000#385C22×C7311yescharacteristic
1001#385C22×C7311yescharacteristic
1002#385C22×C7311yescharacteristic
1003#385C22×C7311yescharacteristic
1004#385C22×C7311yescharacteristic
1005#385C22×C7311yescharacteristic
1006#385C22×C7311yescharacteristic
1007#385C22×C7311yescharacteristic, complemented
1008#385C22×C7311yescharacteristic, complemented
1009#385C22×C7311yescharacteristic, complemented
1010#385C22×C7311yescharacteristic, complemented
1011#385C22×C7311yescharacteristic, complemented
1012#385C22×C7311yescharacteristic, complemented
1013#383C22×C7311yescharacteristic, complemented
1014#382C22×C7311yescharacteristic, complemented
1015#381C22×C7311yescharacteristic
1016#381C22×C7311yescharacteristic
1017#380C22×C7311yescharacteristic
1018#380C22×C7311yescharacteristic
1019#380C22×C7311yescharacteristic
1020#380C22×C7311yescharacteristic, complemented
1021#380C22×C7311yescharacteristic, complemented
1022#379C22×C7311yescharacteristic
1023#379C22×C7311yescharacteristic
1024#379C22×C7311yescharacteristic
1025C4×C22⋊C4C22×C7311yescharacteristic, complemented
1026C2×#95C22×C7311yescharacteristic, complemented
1027C25C23×C7311yescharacteristic
1028C2×#41—24no—
1029C2×#41—42no—
1030C2×#41—42no—
1031C22×Q8C23×C7311yescharacteristic
1032C22×Q8C23×C7311yescharacteristic
1033C22×Q8C23×C7311yescharacteristic
1034C22×Q8C23×C7311yescharacteristic
1035C22×D4C23×C7311yescharacteristic
1036C22×D4C23×C7311yescharacteristic
1037C22×D4C23×C7311yescharacteristic
1038C22×D4C23×C7311yescharacteristic
1039C22×D4C23×C7311yescharacteristic
1040C22×D4C23×C7311yescharacteristic
1041C22×D4C23×C7311yescharacteristic
1042C22×D4C23×C7311yescharacteristic
1043C22×D4C23×C7311yescharacteristic
1044C22×D4C23×C7311yescharacteristic
1045C22×D4C23×C7311yescharacteristic
1046C22×D4C23×C7311yescharacteristic
1047C23×C4—24no—
1048C23×C4—42no—
1049C23×C4—42no—
1050C23×C4C23×C7311yescharacteristic
1051C23×C4C23×C7311yescharacteristic
1052C23×C4C23×C7311yescharacteristic
1053C23×C4C23×C7311yescharacteristic
1054C23×C4C23×C7311yescharacteristic
1055C23×C4C23×C7311yescharacteristic
1056C23×C4C23×C7311yescharacteristic
1057C23×C4C23×C7311yescharacteristic
1058C23×C4C23×C7311yescharacteristic
1059C23×C4C23×C7311yescharacteristic
1060C23×C4C23×C7311yescharacteristic
1061C4⋊Q8—24no—
1062C4⋊Q8—42no—
1063#126—24no—
1064#126—24no—
1065#124—24no—
1066#124—24no—
1067#124—24no—
1068#124—42no—
1069#123—24no—
1070#123—24no—
1071#123—24no—
1072#123—24no—
1073#123—42no—
1074C22⋊Q8—24no—
1075C22⋊Q8—24no—
1076C22⋊Q8—24no—
1077C22⋊Q8—24no—
1078C22⋊Q8—24no—
1079C22⋊Q8—42no—
1080C22⋊Q8—42no—
1081#121—24no—
1082#121—24no—
1083#121—24no—
1084#121—42no—
1085#121—42no—
1086#120—24no—
1087#120—24no—
1088#120—42no—
1089C4×Q8—24no—
1090C4×D4—24no—
1091C4×D4—24no—
1092C4×D4—24no—
1093C4×D4D4×C7318yescomplemented
1094#117—24no—
1095#117—24no—
1096C2×C4⋊C4C23×C7311yescharacteristic
1097C2×C4⋊C4C23×C7311yescharacteristic
1098C2×C4⋊C4C23×C7311yescharacteristic
1099C2×C4⋊C4C23×C7311yescharacteristic
1100C2×C4⋊C4C23×C7311yescharacteristic
1101C2×C4⋊C4C23×C7311yescharacteristic
1102C2×C4⋊C4C23×C7311yescharacteristic
1103C2×C4⋊C4C23×C7311yescharacteristic
1104C2×C4⋊C4C23×C7311yescharacteristic
1105C2×C4⋊C4C23×C7311yescharacteristic
1106C2×C4⋊C4C23×C7311yescharacteristic
1107C2×C4⋊C4C23×C7311yescharacteristic
1108C2×C4⋊C4C23×C7311yescharacteristic
1109C2×C4⋊C4C23×C7311yescharacteristic
1110C2×C4⋊C4C23×C7311yescharacteristic
1111C2×C4⋊C4C23×C7311yescharacteristic
1112C2×C4⋊C4C23×C7311yescharacteristic
1113C2×C4⋊C4C23×C7311yescharacteristic
1114C2×C4⋊C4C23×C7311yescharacteristic
1115C2×C4⋊C4C23×C7311yescharacteristic
1116C2×C4⋊C4C23×C7311yescharacteristic
1117C2×C4⋊C4C23×C7311yescharacteristic
1118C2×C4⋊C4C23×C7311yescharacteristic
1119C2×C4⋊C4C23×C7311yescharacteristic
1120C2×C4⋊C4C23×C7311yescharacteristic
1121C2×C4⋊C4C23×C7311yescharacteristic
1122C2×C4⋊C4C23×C7311yescharacteristic
1123C2×C4⋊C4C23×C7311yescharacteristic
1124C2×C4⋊C4C23×C7311yescharacteristic
1125C2×C4⋊C4C23×C7311yescharacteristic
1126C2×C4⋊C4C23×C7311yescharacteristic
1127C2×C4⋊C4C23×C7311yescharacteristic
1128C2×C22⋊C4C23×C7311yescharacteristic
1129C2×C22⋊C4C23×C7311yescharacteristic
1130C2×C22⋊C4C23×C7311yescharacteristic
1131C2×C22⋊C4C23×C7311yescharacteristic
1132C2×C22⋊C4C23×C7311yescharacteristic
1133C2×C22⋊C4C23×C7311yescharacteristic
1134C2×C22⋊C4C23×C7311yescharacteristic
1135C2×C22⋊C4C23×C7311yescharacteristic
1136C2×C22⋊C4C23×C7311yescharacteristic
1137C2×C22⋊C4C23×C7311yescharacteristic
1138C2×C22⋊C4C23×C7311yescharacteristic
1139C2×C22⋊C4C23×C7311yescharacteristic
1140C2×C22⋊C4C23×C7311yescharacteristic
1141C2×C22⋊C4C23×C7311yescharacteristic
1142C2×C22⋊C4C23×C7311yescharacteristic
1143C2×C22⋊C4C23×C7311yescharacteristic
1144C2×C22⋊C4C23×C7311yescharacteristic
1145C2×C22⋊C4C23×C7311yescharacteristic
1146C2×C22⋊C4C23×C7311yescharacteristic
1147C2×C22⋊C4C23×C7311yescharacteristic
1148C2×C22⋊C4C23×C7311yescharacteristic
1149C2×C22⋊C4C23×C7311yescharacteristic
1150C2×C22⋊C4C23×C7311yescharacteristic
1151C2×C22⋊C4C23×C7311yescharacteristic
1152C2×C22⋊C4C23×C7311yescharacteristic
1153C2×C22⋊C4C23×C7311yescharacteristic
1154C2×C22⋊C4C23×C7311yescharacteristic
1155C2×C22⋊C4C23×C7311yescharacteristic
1156C2×C22⋊C4C23×C7311yescharacteristic
1157C2×C22⋊C4C23×C7311yescharacteristic
1158C2×C22⋊C4C23×C7311yescharacteristic
1159C2×C22⋊C4C23×C7311yescharacteristic
1160C2×C22⋊C4C23×C7311yescharacteristic
1161C2×C22⋊C4C23×C7311yescharacteristic
1162C2×C22⋊C4C23×C7311yescharacteristic
1163C2×C22⋊C4C23×C7311yescharacteristic
1164C2×C22⋊C4C23×C7311yescharacteristic
1165C2×C22⋊C4C23×C7311yescharacteristic
1166C2×C22⋊C4C23×C7311yescharacteristic
1167C2×C22⋊C4C23×C7311yescharacteristic
1168C2×C22⋊C4C23×C7311yescharacteristic
1169C2×C22⋊C4C23×C7311yescharacteristic
1170C2×C22⋊C4C23×C7311yescharacteristic
1171C2×C22⋊C4C23×C7311yescharacteristic
1172C2×C22⋊C4C23×C7311yescharacteristic
1173C2×C22⋊C4C23×C7311yescharacteristic
1174C2×C22⋊C4C23×C7311yescharacteristic
1175C2×C22⋊C4C23×C7311yescharacteristic
1176C2×C22⋊C4C23×C7311yescharacteristic
1177C2×C22⋊C4C23×C7311yescharacteristic
1178C2×C22⋊C4C23×C7311yescharacteristic
1179C2×C22⋊C4C23×C7311yescharacteristic
1180C2×C42C23×C7311yescharacteristic
1181C2×C42C23×C7311yescharacteristic
1182C2×C42C23×C7311yescharacteristic
1183C2×C42C23×C7311yescharacteristic
1184C2×C42C23×C7311yescharacteristic
1185C2×C42C23×C7311yescharacteristic
1186C2×C42C23×C7311yescharacteristic
1187#95C23×C7311yescharacteristic
1188#95C23×C7311yescharacteristic
1189#95C23×C7311yescharacteristic
1190#95C23×C7311yescharacteristic
1191#95C23×C7311yescharacteristic
1192#95C23×C7311yescharacteristic
1193#95C23×C7311yescharacteristic
1194#95C23×C7311yescharacteristic
1195#95C23×C7311yescharacteristic
1196#95C23×C7311yescharacteristic
1197#95C23×C7311yescharacteristic
1198#95C23×C7311yescharacteristic
1199#95C23×C7311yescharacteristic
1200#95C23×C7311yescharacteristic
1201#95C23×C7311yescharacteristic
1202#95C23×C7311yescharacteristic
1203#95C23×C7311yescharacteristic
1204#95C23×C7311yescharacteristic
1205#95C23×C7311yescharacteristic
1206#95C23×C7311yescharacteristic
1207#95C23×C7311yescharacteristic
1208#95C23×C7311yescharacteristic
1209#95C23×C7311yescharacteristic
1210#95C23×C7311yescharacteristic
1211#95C23×C7311yescharacteristic
1212#95C23×C7311yescharacteristic
1213#95C23×C7311yescharacteristic
1214#95C23×C7311yescharacteristic
1215#95C23×C7311yescharacteristic
1216#95C23×C7311yescharacteristic
1217#95C23×C7311yescharacteristic
1218#95C23×C7311yescharacteristic
1219#95C23×C7311yescharacteristic
1220#95C23×C7311yescharacteristic
1221#95C23×C7311yescharacteristic
1222#95C23×C7311yescharacteristic
1223C24—22no—
1224C24—22no—
1225C24—22no—
1226C24—41no—
1227C24—41no—
1228C24—41no—
1229C24—41no—
1230C24C24×C7311yescharacteristic
1231C24C24×C7311yescharacteristic
1232C24C24×C7311yescharacteristic
1233C24C24×C7311yescharacteristic
1234C24C24×C7311yescharacteristic
1235C24C24×C7311yescharacteristic
1236#41—416no—
1237C2×Q8—22no—
1238C2×Q8—22no—
1239C2×Q8—22no—
1240C2×Q8—22no—
1241C2×Q8—22no—
1242C2×Q8—41no—
1243C2×Q8—41no—
1244C2×Q8—41no—
1245C2×Q8—41no—
1246C2×Q8—41no—
1247C2×Q8—41no—
1248C2×Q8—41no—
1249C2×D4—22no—
1250C2×D4—22no—
1251C2×D4—22no—
1252C2×D4—22no—
1253C2×D4—22no—
1254C2×D4—22no—
1255C2×D4—22no—
1256C2×D4—22no—
1257C2×D4—22no—
1258C2×D4—22no—
1259C2×D4—22no—
1260C2×D4—22no—
1261C2×D4—22no—
1262C2×D4—22no—
1263C2×D4—22no—
1264C2×D4—41no—
1265C2×D4—41no—
1266C2×D4—41no—
1267C2×D4—41no—
1268C2×D4—41no—
1269C2×D4—41no—
1270C2×D4—41no—
1271C2×D4—41no—
1272C2×D4—41no—
1273C2×D4—41no—
1274C2×D4—41no—
1275C2×D4—41no—
1276C2×D4—41no—
1277C2×D4—41no—
1278C2×D4—41no—
1279C2×D4—41no—
1280C2×D4—41no—
1281C2×D4—41no—
1282C2×D4—41no—
1283C2×D4—41no—
1284C2×D4C2×D4×C7314yes—
1285C22×C4—22no—
1286C22×C4—22no—
1287C22×C4—22no—
1288C22×C4—22no—
1289C22×C4—22no—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—22no—
1296C22×C4—22no—
1297C22×C4—41no—
1298C22×C4—41no—
1299C22×C4—41no—
1300C22×C4—41no—
1301C22×C4—41no—
1302C22×C4—41no—
1303C22×C4—41no—
1304C22×C4—41no—
1305C22×C4—41no—
1306C22×C4—41no—
1307C22×C4—41no—
1308C22×C4—41no—
1309C22×C4—41no—
1310C22×C4—41no—
1311C22×C4—41no—
1312C22×C4—41no—
1313C22×C4—41no—
1314C22×C4—41no—
1315C22×C4—41no—
1316C22×C4—416no—
1317C22×C4C2×D4×C7314yes—
1318C22×C4C2×D4×C7314yes—
1319C22×C4C24×C7311yescharacteristic
1320C22×C4C24×C7311yescharacteristic
1321C22×C4C24×C7311yescharacteristic
1322C22×C4C24×C7311yescharacteristic
1323C22×C4C24×C7311yescharacteristic
1324C22×C4C24×C7311yescharacteristic
1325C22×C4C24×C7311yescharacteristic
1326C22×C4C24×C7311yescharacteristic
1327C22×C4C24×C7311yescharacteristic
1328C22×C4C24×C7311yescharacteristic
1329C22×C4C24×C7311yescharacteristic
1330C22×C4C24×C7311yescharacteristic
1331C22×C4C24×C7311yescharacteristic
1332C22×C4C24×C7311yescharacteristic
1333C22×C4C24×C7311yescharacteristic
1334C22×C4C24×C7311yescharacteristic
1335C22×C4C24×C7311yescharacteristic
1336C22×C4C24×C7311yescharacteristic
1337C22×C4C24×C7311yescharacteristic
1338C22×C4C24×C7311yescharacteristic
1339C22×C4C24×C7311yescharacteristic
1340C22×C4C24×C7311yescharacteristic
1341C22×C4C24×C7311yescharacteristic
1342C22×C4C24×C7311yescharacteristic
1343C22×C4C24×C7311yescharacteristic
1344C4⋊C4—22no—
1345C4⋊C4—22no—
1346C4⋊C4—22no—
1347C4⋊C4—22no—
1348C4⋊C4—22no—
1349C4⋊C4—22no—
1350C4⋊C4—22no—
1351C4⋊C4—22no—
1352C4⋊C4—22no—
1353C4⋊C4—22no—
1354C4⋊C4—22no—
1355C4⋊C4—22no—
1356C4⋊C4—22no—
1357C4⋊C4—22no—
1358C4⋊C4—22no—
1359C4⋊C4—22no—
1360C4⋊C4—22no—
1361C4⋊C4—41no—
1362C4⋊C4—41no—
1363C4⋊C4—41no—
1364C4⋊C4—41no—
1365C4⋊C4—41no—
1366C4⋊C4—41no—
1367C4⋊C4—41no—
1368C4⋊C4—41no—
1369C4⋊C4—41no—
1370C4⋊C4—41no—
1371C4⋊C4—41no—
1372C4⋊C4—41no—
1373C4⋊C4—41no—
1374C4⋊C4—41no—
1375C4⋊C4C2×D4×C7314yes—
1376C22⋊C4—22no—
1377C22⋊C4—22no—
1378C22⋊C4—22no—
1379C22⋊C4—22no—
1380C22⋊C4—22no—
1381C22⋊C4—22no—
1382C22⋊C4—22no—
1383C22⋊C4—22no—
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—22no—
1393C22⋊C4—22no—
1394C22⋊C4—22no—
1395C22⋊C4—22no—
1396C22⋊C4—22no—
1397C22⋊C4—22no—
1398C22⋊C4—22no—
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⋊C4—41no—
1410C22⋊C4—41no—
1411C22⋊C4—41no—
1412C22⋊C4—41no—
1413C22⋊C4—41no—
1414C22⋊C4—41no—
1415C22⋊C4—41no—
1416C22⋊C4—41no—
1417C22⋊C4—41no—
1418C22⋊C4—41no—
1419C22⋊C4—41no—
1420C22⋊C4—41no—
1421C22⋊C4—41no—
1422C22⋊C4—41no—
1423C22⋊C4—41no—
1424C22⋊C4—41no—
1425C22⋊C4—41no—
1426C22⋊C4C2×D4×C7314yes—
1427C22⋊C4C2×D4×C7314yes—
1428C42—22no—
1429C42—22no—
1430C42—22no—
1431C42—22no—
1432C42—41no—
1433C42—41no—
1434C42C2×D4×C7314yes—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—44no—
1474C23—44no—
1475C23—44no—
1476C23—44no—
1477C23—44no—
1478C23—44no—
1479C23—44no—
1480C23C22×D4×C7312yes—
1481C23C22×D4×C7312yes—
1482C23H(5,𝔽2)×C7312yes—
1483C232−1+4×C7312yes—
1484C23C25×C7311yescharacteristic
1485Q8—44no—
1486Q8—44no—
1487Q8—82no—
1488Q8—82no—
1489D4—44no—
1490D4—44no—
1491D4—44no—
1492D4—44no—
1493D4—44no—
1494D4—44no—
1495D4—44no—
1496D4—82no—
1497D4—82no—
1498D4—82no—
1499D4—82no—
1500D4—82no—
1501C2×C4—28no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—44no—
1572C2×C4—44no—
1573C2×C4—44no—
1574C2×C4—44no—
1575C2×C4—44no—
1576C2×C4—44no—
1577C2×C4—44no—
1578C2×C4—44no—
1579C2×C4—82no—
1580C2×C4—82no—
1581C2×C4C22×D4×C7312yes—
1582C2×C4C22×D4×C7312yes—
1583C2×C4C22×D4×C7312yes—
1584C2×C4C22×D4×C7312yes—
1585C2×C4C22×D4×C7312yes—
1586C2×C4H(5,𝔽2)×C7312yes—
1587C22—22no—
1588C22—22no—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—22no—
1593C22—22no—
1594C22—22no—
1595C22—22no—
1596C22—22no—
1597C22—22no—
1598C22—22no—
1599C22—416no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22C23×D4×C7311yescharacteristic
1631C22C2×H(5,𝔽2)×C7311yescharacteristic
1632C22C2×H(5,𝔽2)×C7311yescharacteristic
1633C22C2×2−1+4×C7311yescharacteristic
1634C22#585×C7311yescharacteristic
1635C22#585×C7311yescharacteristic
1636C22#585×C7311yescharacteristic
1637C4—22no—
1638C4—22no—
1639C4—22no—
1640C4—22no—
1641C4—22no—
1642C4—22no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—41no—
1659C4—41no—
1660C4—41no—
1661C4—41no—
1662C2—42no—
1663C2—42no—
1664C2—42no—
1665C2—42no—
1666C2—81no—
1667C2—81no—
1668C2C73×#344911yescharacteristic
1669C2C73×#348411yescharacteristic
1670C2C73×#348911yescharacteristic
1671C2C73×#353311yescharacteristic
1672C2C73×#353511yescharacteristic
1673C2C73×#354011yescharacteristic
1674C2C73×#354111yescharacteristic
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×#542×C73C2semidirect
2. C2×#525×C73C2semidirect
3. C73×#2849C2semidirect
4. C73×#2848C2semidirect
5. C73×#2696C2semidirect
6. C73×#2695C2semidirect
7. C73×#2692C2semidirect
8. C73×#2691C2semidirect
9. C73×#2689C2semidirect
10. C73×#2686C2semidirect
11. C73×#2685C2semidirect
12. C73×#2684C2semidirect
13. C73×#2677C2semidirect
14. C73×#2676C2semidirect
15. C73×#2674C2semidirect
16. C73×#2674C2semidirect
17. C73×#2672C2semidirect
18. C73×#2671C2semidirect
19. C73×#2670C2semidirect
20. C73×#2668C2semidirect
21. C73×#2638C2semidirect
22. C73×#2630C2semidirect
23. C73×#2609C2semidirect
24. C73×#2602C2semidirect
25. C73×#2599C2semidirect
26. C73×#2598C2semidirect
27. C73×#2580C2semidirect
28. C73×#2564C2semidirect
29. C73×#2432C2semidirect
30. C73×#2430C2semidirect
31. C73×#2318C2semidirect
35. C2×C4⋊Q8×C73C22semidirect
36. C2×C4⋊Q8×C73C22semidirect
38. C2×#126×C73C22semidirect
42. C2×#124×C73C22semidirect
48. C2×#123×C73C22semidirect
54. C2×C22⋊Q8×C73C22semidirect
55. C2×C22⋊Q8×C73C22semidirect
60. C2×#121×C73C22semidirect
64. C2×C4×Q8×C73C22semidirect
70. C2×#117×C73C22semidirect
71. #400×C73C22semidirect
72. #400×C73C22semidirect
75. #399×C73C22semidirect
76. #399×C73C22semidirect
77. #398×C73C22semidirect
78. #398×C73C22semidirect
79. #398×C73C22semidirect
80. #398×C73C22semidirect
85. #397×C73C22semidirect
86. #397×C73C22semidirect
88. #396×C73C22semidirect
89. #396×C73C22semidirect
90. #396×C73C22semidirect
91. #395×C73C22semidirect
92. #395×C73C22semidirect
93. #395×C73C22semidirect
94. #395×C73C22semidirect
105. #394×C73C22semidirect
106. #394×C73C22semidirect
107. #394×C73C22semidirect
108. #394×C73C22semidirect
112. #393×C73C22semidirect
113. #393×C73C22semidirect
114. #393×C73C22semidirect
119. #391×C73C22semidirect
124. #389×C73C22semidirect
125. #389×C73C22semidirect
126. #389×C73C22semidirect
134. #388×C73C22semidirect
135. #388×C73C22semidirect
136. #388×C73C22semidirect
137. #387×C73C22semidirect
138. #387×C73C22semidirect
139. #387×C73C22semidirect
140. #387×C73C22semidirect
141. #387×C73C22semidirect
142. #387×C73C22semidirect
143. #387×C73C22semidirect
144. #387×C73C22semidirect
156. #386×C73C22semidirect
157. #386×C73C22semidirect
158. #386×C73C22semidirect
169. #385×C73C22semidirect
170. #385×C73C22semidirect
171. #385×C73C22semidirect
172. #385×C73C22semidirect
173. #385×C73C22semidirect
174. #385×C73C22semidirect
175. #383×C73C22semidirect
176. #382×C73C22semidirect
182. #380×C73C22semidirect
183. #380×C73C22semidirect
187. C4×C22⋊C4×C73C22semidirect
188. C2×#95×C73C22semidirect
255. C4×D4×C73D4semidirect
824. #36712C73direct (N × H)
838. C2×#542C2×C73semidirect
839. C2×#525C2×C73semidirect
840. #2849C2×C73semidirect
841. #2848C2×C73semidirect
842. #2696C2×C73semidirect
843. #2695C2×C73semidirect
844. #2692C2×C73semidirect
845. #2691C2×C73semidirect
846. #2689C2×C73semidirect
847. #2686C2×C73semidirect
848. #2685C2×C73semidirect
849. #2684C2×C73semidirect
850. #2677C2×C73semidirect
851. #2676C2×C73semidirect
852. #2674C2×C73semidirect
853. #2674C2×C73semidirect
854. #2672C2×C73semidirect
855. #2671C2×C73semidirect
856. #2670C2×C73semidirect
857. #2668C2×C73semidirect
858. #2638C2×C73semidirect
859. #2630C2×C73semidirect
860. #2609C2×C73semidirect
861. #2602C2×C73semidirect
862. #2599C2×C73semidirect
863. #2598C2×C73semidirect
864. #2580C2×C73semidirect
865. #2564C2×C73semidirect
866. #2432C2×C73semidirect
867. #2430C2×C73semidirect
868. #2318C2×C73semidirect
869. C73#36712direct (N × H)
873. C2×C4⋊Q8C22×C73semidirect
874. C2×C4⋊Q8C22×C73semidirect
876. C2×#126C22×C73semidirect
880. C2×#124C22×C73semidirect
886. C2×#123C22×C73semidirect
892. C2×C22⋊Q8C22×C73semidirect
893. C2×C22⋊Q8C22×C73semidirect
898. C2×#121C22×C73semidirect
902. C2×C4×Q8C22×C73semidirect
908. C2×#117C22×C73semidirect
909. #400C22×C73semidirect
910. #400C22×C73semidirect
913. #399C22×C73semidirect
914. #399C22×C73semidirect
915. #398C22×C73semidirect
916. #398C22×C73semidirect
917. #398C22×C73semidirect
918. #398C22×C73semidirect
923. #397C22×C73semidirect
924. #397C22×C73semidirect
926. #396C22×C73semidirect
927. #396C22×C73semidirect
928. #396C22×C73semidirect
929. #395C22×C73semidirect
930. #395C22×C73semidirect
931. #395C22×C73semidirect
932. #395C22×C73semidirect
943. #394C22×C73semidirect
944. #394C22×C73semidirect
945. #394C22×C73semidirect
946. #394C22×C73semidirect
950. #393C22×C73semidirect
951. #393C22×C73semidirect
952. #393C22×C73semidirect
957. #391C22×C73semidirect
962. #389C22×C73semidirect
963. #389C22×C73semidirect
964. #389C22×C73semidirect
972. #388C22×C73semidirect
973. #388C22×C73semidirect
974. #388C22×C73semidirect
975. #387C22×C73semidirect
976. #387C22×C73semidirect
977. #387C22×C73semidirect
978. #387C22×C73semidirect
979. #387C22×C73semidirect
980. #387C22×C73semidirect
981. #387C22×C73semidirect
982. #387C22×C73semidirect
994. #386C22×C73semidirect
995. #386C22×C73semidirect
996. #386C22×C73semidirect
1007. #385C22×C73semidirect
1008. #385C22×C73semidirect
1009. #385C22×C73semidirect
1010. #385C22×C73semidirect
1011. #385C22×C73semidirect
1012. #385C22×C73semidirect
1013. #383C22×C73semidirect
1014. #382C22×C73semidirect
1020. #380C22×C73semidirect
1021. #380C22×C73semidirect
1025. C4×C22⋊C4C22×C73semidirect
1026. C2×#95C22×C73semidirect
1093. C4×D4D4×C73semidirect

Maximal subgroups

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

subgroupindex
C2×#542×C732
C2×#525×C732
C73×#28492
C73×#28482
C73×#26962
C73×#26952
C73×#26922
C73×#26912
C73×#26892
C73×#26862
C73×#26852
C73×#26842
C73×#26772
C73×#26762
C73×#26742
C73×#26722
C73×#26712
C73×#26702
C73×#26682
C73×#26382
C73×#26302
C73×#26092
C73×#26022
C73×#25992
C73×#25982
C73×#25802
C73×#25642
C73×#24322
C73×#24302
C73×#23182
#3671273