Finite Group Databasebeta

← C73×#36776 #32946180

Subgroups — C73×#36776 #32946180

Order 18688.

2454 conjugacy classes of subgroups.

The subgroup lattice has 1786 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C73×#2849C211yesmaximal, characteristic, complemented
2C73×#2847C211yesmaximal, characteristic, complemented
3C73×#2778C211yesmaximal, characteristic, complemented
4C73×#2778C211yesmaximal, characteristic, complemented
5C73×#2760C211yesmaximal, characteristic, complemented
6C73×#2750C211yesmaximal, characteristic, complemented
7C73×#2749C211yesmaximal, characteristic, complemented
8C73×#2749C211yesmaximal, characteristic, complemented
9C73×#2743C211yesmaximal, characteristic, complemented
10C73×#2703C211yesmaximal, characteristic, complemented
11C73×#2697C211yesmaximal, characteristic, complemented
12C73×#2696C211yesmaximal, characteristic, complemented
13C73×#2688C211yesmaximal, characteristic, complemented
14C73×#2688C211yesmaximal, characteristic, complemented
15C73×#2684C211yesmaximal, characteristic, complemented
16C73×#2678C211yesmaximal, characteristic, complemented
17C73×#2676C211yesmaximal, characteristic, complemented
18C73×#2668C211yesmaximal, characteristic, complemented
19C73×#2643C211yesmaximal, characteristic, complemented
20C73×#2639C211yesmaximal, characteristic, complemented
21C73×#2510C211yesmaximal, characteristic, complemented
22C73×#2472C211yesmaximal, characteristic, complemented
23C73×#2444C211yesmaximal, characteristic, complemented
24C73×#2437C211yesmaximal, characteristic, complemented
25C73×#2424C211yesmaximal, characteristic, complemented
26C73×#2410C211yesmaximal, characteristic, complemented
27C73×#2410C211yesmaximal, characteristic, complemented
28C73×#2403C211yesmaximal, characteristic, complemented
29C73×#2321C211yesmaximal, characteristic, complemented
30C73×#2308C211yesmaximal, characteristic, complemented
31C2×#386×C73C211yesmaximal, characteristic, complemented
32C23×D4×C73C2211yescharacteristic
33C23×D4×C73C2211yescharacteristic
34C24×C4×C73C2211yescharacteristic, complemented
35C2×#124×C73C2211yescharacteristic, complemented
36C2×#123×C73C2211yescharacteristic, complemented
37C2×#123×C73C2211yescharacteristic, complemented
38C2×C22⋊Q8×C73C2211yescharacteristic, complemented
39C2×C22⋊Q8×C73C2211yescharacteristic, complemented
40C2×#121×C73C2211yescharacteristic
41C2×#121×C73C2211yescharacteristic
42C2×#121×C73C2211yescharacteristic, complemented
43C2×#121×C73C2211yescharacteristic, complemented
44C2×#121×C73C2211yescharacteristic, complemented
45C2×#121×C73C2211yescharacteristic, complemented
46C2×#121×C73C2211yescharacteristic, complemented
47C2×#120×C73C2211yescharacteristic
48C2×#120×C73C2211yescharacteristic
49C2×#120×C73C2211yescharacteristic
50C2×#120×C73C2211yescharacteristic
51C2×#120×C73C2211yescharacteristic
52C2×#120×C73C2211yescharacteristic, complemented
53C2×#120×C73C2211yescharacteristic, complemented
54C2×C4×D4×C73C2211yescharacteristic, complemented
55C22×C22⋊C4×C73C2211yescharacteristic
56C22×C22⋊C4×C73C2211yescharacteristic
57C22×C22⋊C4×C73C2211yescharacteristic
58C22×C22⋊C4×C73C2211yescharacteristic, complemented
59#401×C73C2211yescharacteristic, complemented
60#401×C73C2211yescharacteristic, complemented
61#400×C73C2211yescharacteristic, complemented
62#400×C73C2211yescharacteristic, complemented
63#400×C73C2211yescharacteristic, complemented
64#400×C73C2211yescharacteristic, complemented
65#400×C73C2211yescharacteristic, complemented
66#400×C73C2211yescharacteristic, complemented
67#400×C73C2211yescharacteristic, complemented
68#399×C73C2211yescharacteristic, complemented
69#397×C73C2211yescharacteristic, complemented
70#397×C73C2211yescharacteristic, complemented
71#397×C73C2211yescharacteristic, complemented
72#397×C73C2211yescharacteristic, complemented
73#397×C73C2211yescharacteristic, complemented
74#397×C73C2211yescharacteristic, complemented
75#397×C73C2211yescharacteristic, complemented
76#397×C73C2211yescharacteristic, complemented
77#397×C73C2211yescharacteristic, complemented
78#397×C73C2211yescharacteristic, complemented
79#396×C73C2211yescharacteristic, complemented
80#396×C73C2211yescharacteristic, complemented
81#396×C73C2211yescharacteristic, complemented
82#396×C73C2211yescharacteristic, complemented
83#394×C73C2211yescharacteristic
84#394×C73C2211yescharacteristic
85#394×C73C2211yescharacteristic, complemented
86#394×C73C2211yescharacteristic, complemented
87#394×C73C2211yescharacteristic, complemented
88#394×C73C2211yescharacteristic, complemented
89#394×C73C2211yescharacteristic, complemented
90#394×C73C2211yescharacteristic, complemented
91#394×C73C2211yescharacteristic, complemented
92#394×C73C2211yescharacteristic, complemented
93#394×C73C2211yescharacteristic, complemented
94#393×C73C2211yescharacteristic, complemented
95#393×C73C2211yescharacteristic, complemented
96#393×C73C2211yescharacteristic, complemented
97#393×C73C2211yescharacteristic, complemented
98#392×C73C2211yescharacteristic
99#392×C73C2211yescharacteristic
100#392×C73C2211yescharacteristic
101#392×C73C2211yescharacteristic
102#392×C73C2211yescharacteristic
103#392×C73C2211yescharacteristic
104#392×C73C2211yescharacteristic, complemented
105#392×C73C2211yescharacteristic, complemented
106#392×C73C2211yescharacteristic, complemented
107#390×C73C2211yescharacteristic, complemented
108#390×C73C2211yescharacteristic, complemented
109#390×C73C2211yescharacteristic, complemented
110#390×C73C2211yescharacteristic, complemented
111#388×C73C2211yescharacteristic, complemented
112#388×C73C2211yescharacteristic, complemented
113#388×C73C2211yescharacteristic, complemented
114#388×C73C2211yescharacteristic, complemented
115#388×C73C2211yescharacteristic, complemented
116#388×C73C2211yescharacteristic, complemented
117#388×C73C2211yescharacteristic, complemented
118#388×C73C2211yescharacteristic, complemented
119#388×C73C2211yescharacteristic, complemented
120#388×C73C2211yescharacteristic, complemented
121#387×C73C2211yescharacteristic, complemented
122#387×C73C2211yescharacteristic, complemented
123#386×C73C2211yescharacteristic
124#386×C73C2211yescharacteristic
125#386×C73C2211yescharacteristic
126#386×C73C2211yescharacteristic
127#386×C73C2211yescharacteristic
128#386×C73C2211yescharacteristic
129#386×C73C2211yescharacteristic
130#386×C73C2211yescharacteristic
131#386×C73C2211yescharacteristic
132#386×C73C2211yescharacteristic
133#386×C73C2211yescharacteristic
134#386×C73C2211yescharacteristic
135#386×C73C2211yescharacteristic
136#386×C73C2211yescharacteristic
137#386×C73C2211yescharacteristic, complemented
138#386×C73C2211yescharacteristic, complemented
139#386×C73C2211yescharacteristic, complemented
140#386×C73C2211yescharacteristic, complemented
141#386×C73C2211yescharacteristic, complemented
142#386×C73C2211yescharacteristic, complemented
143#386×C73C2211yescharacteristic, complemented
144#386×C73C2211yescharacteristic, complemented
145#386×C73C2211yescharacteristic, complemented
146#386×C73C2211yescharacteristic, complemented
147#386×C73C2211yescharacteristic, complemented
148#386×C73C2211yescharacteristic, complemented
149#386×C73C2211yescharacteristic, complemented
150#386×C73C2211yescharacteristic, complemented
151#386×C73C2211yescharacteristic, complemented
152#386×C73C2211yescharacteristic, complemented
153#386×C73C2211yescharacteristic, complemented
154#386×C73C2211yescharacteristic, complemented
155#386×C73C2211yescharacteristic, complemented
156#386×C73C2211yescharacteristic, complemented
157#386×C73C2211yescharacteristic, complemented
158#386×C73C2211yescharacteristic, complemented
159#386×C73C2211yescharacteristic, complemented
160#385×C73C2211yescharacteristic, complemented
161#385×C73C2211yescharacteristic, complemented
162#385×C73C2211yescharacteristic, complemented
163#385×C73C2211yescharacteristic, complemented
164#385×C73C2211yescharacteristic, complemented
165#385×C73C2211yescharacteristic, complemented
166#385×C73C2211yescharacteristic, complemented
167#385×C73C2211yescharacteristic, complemented
168#385×C73C2211yescharacteristic, complemented
169#383×C73C2211yescharacteristic, complemented
170#381×C73C2211yescharacteristic, complemented
171#381×C73C2211yescharacteristic, complemented
172#381×C73C2211yescharacteristic, complemented
173#381×C73C2211yescharacteristic, complemented
174#381×C73C2211yescharacteristic, complemented
175#380×C73C2211yescharacteristic, complemented
176#380×C73C2211yescharacteristic, complemented
177#380×C73C2211yescharacteristic, complemented
178#380×C73C2211yescharacteristic, complemented
179#379×C73C2211yescharacteristic
180#379×C73C2211yescharacteristic, complemented
181#379×C73C2211yescharacteristic, complemented
182#379×C73C2211yescharacteristic, complemented
183#379×C73C2211yescharacteristic, complemented
184C4×C22⋊C4×C73C2211yescharacteristic, complemented
185C2×#95×C73C2211yescharacteristic, complemented
186C2×#95×C73C2211yescharacteristic, complemented
187C25×C73C2311yescharacteristic
188C25×C73C2311yescharacteristic
189C25×C73C2311yescharacteristic
190C22×Q8×C73C2311yescharacteristic
191C22×D4×C73—24no—
192C22×D4×C73—24no—
193C22×D4×C73—42no—
194C22×D4×C73—42no—
195C22×D4×C73—42no—
196C22×D4×C73—42no—
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×C73—42no—
217C23×C4×C73—42no—
218C23×C4×C73—42no—
219C23×C4×C73C2311yescharacteristic
220C23×C4×C73C2311yescharacteristic
221C23×C4×C73C2311yescharacteristic
222C23×C4×C73C2311yescharacteristic
223C23×C4×C73C2311yescharacteristic
224C23×C4×C73C2311yescharacteristic
225C23×C4×C73C2311yescharacteristic
226C23×C4×C73C2311yescharacteristic
227C23×C4×C73C2311yescharacteristic
228C23×C4×C73C2311yescharacteristic
229C23×C4×C73C2311yescharacteristic
230C23×C4×C73C2311yescharacteristic
231C23×C4×C73C2311yescharacteristic
232#124×C73—42no—
233#123×C73—42no—
234#123×C73—42no—
235C22⋊Q8×C73—42no—
236C22⋊Q8×C73—42no—
237#121×C73—42no—
238#121×C73—42no—
239#121×C73—42no—
240#121×C73—42no—
241#121×C73—42no—
242#121×C73—42no—
243#121×C73—42no—
244#120×C73—24no—
245#120×C73—42no—
246#120×C73—42no—
247#120×C73—42no—
248#120×C73—42no—
249#120×C73—42no—
250#120×C73—42no—
251C4×D4×C73—42no—
252C2×C4⋊C4×C73C2311yescharacteristic
253C2×C4⋊C4×C73C2311yescharacteristic
254C2×C4⋊C4×C73C2311yescharacteristic
255C2×C4⋊C4×C73C2311yescharacteristic
256C2×C4⋊C4×C73C2311yescharacteristic
257C2×C4⋊C4×C73C2311yescharacteristic
258C2×C4⋊C4×C73C2311yescharacteristic
259C2×C4⋊C4×C73C2311yescharacteristic
260C2×C4⋊C4×C73C2311yescharacteristic
261C2×C4⋊C4×C73C2311yescharacteristic
262C2×C4⋊C4×C73C2311yescharacteristic
263C2×C4⋊C4×C73C2311yescharacteristic
264C2×C4⋊C4×C73C2311yescharacteristic
265C2×C4⋊C4×C73C2311yescharacteristic
266C2×C4⋊C4×C73C2311yescharacteristic
267C2×C4⋊C4×C73C2311yescharacteristic
268C2×C22⋊C4×C73—42no—
269C2×C22⋊C4×C73—42no—
270C2×C22⋊C4×C73—42no—
271C2×C22⋊C4×C73—42no—
272C2×C22⋊C4×C73C2311yescharacteristic
273C2×C22⋊C4×C73C2311yescharacteristic
274C2×C22⋊C4×C73C2311yescharacteristic
275C2×C22⋊C4×C73C2311yescharacteristic
276C2×C22⋊C4×C73C2311yescharacteristic
277C2×C22⋊C4×C73C2311yescharacteristic
278C2×C22⋊C4×C73C2311yescharacteristic
279C2×C22⋊C4×C73C2311yescharacteristic
280C2×C22⋊C4×C73C2311yescharacteristic
281C2×C22⋊C4×C73C2311yescharacteristic
282C2×C22⋊C4×C73C2311yescharacteristic
283C2×C22⋊C4×C73C2311yescharacteristic
284C2×C22⋊C4×C73C2311yescharacteristic
285C2×C22⋊C4×C73C2311yescharacteristic
286C2×C22⋊C4×C73C2311yescharacteristic
287C2×C22⋊C4×C73C2311yescharacteristic
288C2×C22⋊C4×C73C2311yescharacteristic
289C2×C22⋊C4×C73C2311yescharacteristic
290C2×C22⋊C4×C73C2311yescharacteristic
291C2×C22⋊C4×C73C2311yescharacteristic
292C2×C22⋊C4×C73C2311yescharacteristic
293C2×C22⋊C4×C73C2311yescharacteristic
294C2×C22⋊C4×C73C2311yescharacteristic
295C2×C22⋊C4×C73C2311yescharacteristic
296C2×C22⋊C4×C73C2311yescharacteristic
297C2×C22⋊C4×C73C2311yescharacteristic
298C2×C22⋊C4×C73C2311yescharacteristic
299C2×C22⋊C4×C73C2311yescharacteristic
300C2×C22⋊C4×C73C2311yescharacteristic
301C2×C22⋊C4×C73C2311yescharacteristic
302C2×C22⋊C4×C73C2311yescharacteristic
303C2×C22⋊C4×C73C2311yescharacteristic
304C2×C22⋊C4×C73C2311yescharacteristic
305C2×C22⋊C4×C73C2311yescharacteristic
306C2×C22⋊C4×C73C2311yescharacteristic
307C2×C22⋊C4×C73C2311yescharacteristic
308C2×C22⋊C4×C73C2311yescharacteristic
309C2×C22⋊C4×C73C2311yescharacteristic
310C2×C22⋊C4×C73C2311yescharacteristic
311C2×C22⋊C4×C73C2311yescharacteristic
312C2×C22⋊C4×C73C2311yescharacteristic
313C2×C22⋊C4×C73C2311yescharacteristic
314C2×C22⋊C4×C73C2311yescharacteristic
315C2×C22⋊C4×C73C2311yescharacteristic
316C2×C22⋊C4×C73C2311yescharacteristic
317C2×C22⋊C4×C73C2311yescharacteristic
318C2×C22⋊C4×C73C2311yescharacteristic
319C2×C22⋊C4×C73C2311yescharacteristic
320C2×C22⋊C4×C73C2311yescharacteristic
321C2×C22⋊C4×C73C2311yescharacteristic
322C2×C22⋊C4×C73C2311yescharacteristic
323C2×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×C42×C73C2311yescharacteristic
333C2×C42×C73C2311yescharacteristic
334C2×C42×C73C2311yescharacteristic
335#95×C73C2311yescharacteristic
336#95×C73C2311yescharacteristic
337#95×C73C2311yescharacteristic
338#95×C73C2311yescharacteristic
339#95×C73C2311yescharacteristic
340#95×C73C2311yescharacteristic
341#95×C73C2311yescharacteristic
342#95×C73C2311yescharacteristic
343#95×C73C2311yescharacteristic
344#95×C73C2311yescharacteristic
345#95×C73C2311yescharacteristic
346#95×C73C2311yescharacteristic
347#95×C73C2311yescharacteristic
348#95×C73C2311yescharacteristic
349#95×C73C2311yescharacteristic
350#95×C73C2311yescharacteristic
351#95×C73C2311yescharacteristic
352#95×C73C2311yescharacteristic
353#95×C73C2311yescharacteristic
354#95×C73C2311yescharacteristic
355#95×C73C2311yescharacteristic
356#95×C73C2311yescharacteristic
357#95×C73C2311yescharacteristic
358#95×C73C2311yescharacteristic
359#95×C73C2311yescharacteristic
360#95×C73C2311yescharacteristic
361#95×C73C2311yescharacteristic
362#95×C73C2311yescharacteristic
363#95×C73C2311yescharacteristic
364#95×C73C2311yescharacteristic
365#95×C73C2311yescharacteristic
366#95×C73C2311yescharacteristic
367#95×C73C2311yescharacteristic
368#95×C73C2311yescharacteristic
369#95×C73C2311yescharacteristic
370#95×C73C2311yescharacteristic
371#95×C73C2311yescharacteristic
372#95×C73C2311yescharacteristic
373#95×C73C2311yescharacteristic
374#95×C73C2311yescharacteristic
375C24×C73—22no—
376C24×C73—22no—
377C24×C73—22no—
378C24×C73—22no—
379C24×C73—22no—
380C24×C73—22no—
381C24×C73—22no—
382C24×C73—22no—
383C24×C73—41no—
384C24×C73—41no—
385C24×C73—41no—
386C24×C73—41no—
387C24×C73—41no—
388C24×C73—41no—
389C24×C73—41no—
390C24×C73—41no—
391C24×C73—41no—
392C24×C73—41no—
393C24×C73—41no—
394C24×C73—41no—
395C24×C73#4114yes—
396C24×C73C2411yescharacteristic
397C24×C73C2411yescharacteristic
398C24×C73C2411yescharacteristic
399C24×C73C2411yescharacteristic
400C24×C73C2411yescharacteristic
401C24×C73C2411yescharacteristic
402C24×C73C2411yescharacteristic
403C24×C73C2411yescharacteristic
404C2×Q8×C73—41no—
405C2×Q8×C73—41no—
406C2×Q8×C73—41no—
407C2×D4×C73—22no—
408C2×D4×C73—22no—
409C2×D4×C73—22no—
410C2×D4×C73—22no—
411C2×D4×C73—22no—
412C2×D4×C73—22no—
413C2×D4×C73—22no—
414C2×D4×C73—22no—
415C2×D4×C73—22no—
416C2×D4×C73—22no—
417C2×D4×C73—22no—
418C2×D4×C73—22no—
419C2×D4×C73—22no—
420C2×D4×C73—22no—
421C2×D4×C73—22no—
422C2×D4×C73—22no—
423C2×D4×C73—22no—
424C2×D4×C73—22no—
425C2×D4×C73—22no—
426C2×D4×C73—22no—
427C2×D4×C73—22no—
428C2×D4×C73—22no—
429C2×D4×C73—22no—
430C2×D4×C73—22no—
431C2×D4×C73—22no—
432C2×D4×C73—22no—
433C2×D4×C73—22no—
434C2×D4×C73—22no—
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—416no—
465C2×D4×C73—416no—
466C22×C4×C73—22no—
467C22×C4×C73—22no—
468C22×C4×C73—22no—
469C22×C4×C73—22no—
470C22×C4×C73—22no—
471C22×C4×C73—22no—
472C22×C4×C73—22no—
473C22×C4×C73—22no—
474C22×C4×C73—22no—
475C22×C4×C73—22no—
476C22×C4×C73—22no—
477C22×C4×C73—41no—
478C22×C4×C73—41no—
479C22×C4×C73—41no—
480C22×C4×C73—41no—
481C22×C4×C73—41no—
482C22×C4×C73—41no—
483C22×C4×C73—41no—
484C22×C4×C73—41no—
485C22×C4×C73—41no—
486C22×C4×C73—41no—
487C22×C4×C73—41no—
488C22×C4×C73—41no—
489C22×C4×C73—41no—
490C22×C4×C73—41no—
491C22×C4×C73—41no—
492C22×C4×C73—41no—
493C22×C4×C73—41no—
494C22×C4×C73—41no—
495C22×C4×C73—41no—
496C22×C4×C73—41no—
497C22×C4×C73—41no—
498C22×C4×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—416no—
506C22×C4×C73C2411yescharacteristic
507C22×C4×C73C2411yescharacteristic
508C22×C4×C73C2411yescharacteristic
509C22×C4×C73C2411yescharacteristic
510C22×C4×C73C2411yescharacteristic
511C22×C4×C73C2411yescharacteristic
512C22×C4×C73C2411yescharacteristic
513C22×C4×C73C2411yescharacteristic
514C22×C4×C73C2411yescharacteristic
515C22×C4×C73C2411yescharacteristic
516C22×C4×C73C2411yescharacteristic
517C22×C4×C73C2411yescharacteristic
518C22×C4×C73C2411yescharacteristic
519C22×C4×C73C2411yescharacteristic
520C22×C4×C73C2411yescharacteristic
521C22×C4×C73C2411yescharacteristic
522C22×C4×C73C2411yescharacteristic
523C22×C4×C73C2411yescharacteristic
524C22×C4×C73C2411yescharacteristic
525C22×C4×C73C2411yescharacteristic
526C22×C4×C73C2411yescharacteristic
527C22×C4×C73C2411yescharacteristic
528C22×C4×C73C2411yescharacteristic
529C4⋊C4×C73—22no—
530C4⋊C4×C73—22no—
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×C73—41no—
538C4⋊C4×C73—41no—
539C4⋊C4×C73—41no—
540C4⋊C4×C73—41no—
541C4⋊C4×C73—41no—
542C4⋊C4×C73—41no—
543C4⋊C4×C73—41no—
544C4⋊C4×C73—41no—
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—41no—
560C22⋊C4×C73—41no—
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×C73—41no—
589C22⋊C4×C73—41no—
590C22⋊C4×C73—41no—
591C22⋊C4×C73—41no—
592C22⋊C4×C73—41no—
593C22⋊C4×C73—41no—
594C22⋊C4×C73—41no—
595C22⋊C4×C73—41no—
596C22⋊C4×C73—41no—
597C22⋊C4×C73—41no—
598C22⋊C4×C73—41no—
599C22⋊C4×C73—41no—
600C22⋊C4×C73—41no—
601C22⋊C4×C73—41no—
602C22⋊C4×C73—41no—
603C22⋊C4×C73—41no—
604C22⋊C4×C73—41no—
605C42×C73—41no—
606C42×C73—41no—
607C42×C73—41no—
608C23×C73—21no—
609C23×C73—21no—
610C23×C73—21no—
611C23×C73—21no—
612C23×C73—28no—
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—21no—
636C23×C73—21no—
637C23×C73—28no—
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—44no—
660C23×C73—44no—
661C23×C73—44no—
662C23×C73—44no—
663C23×C73—44no—
664C23×C73—44no—
665C23×C73—44no—
666C23×C73—44no—
667C23×C73—44no—
668C23×C73—82no—
669C23×C73—82no—
670C23×C73—82no—
671C23×C73—82no—
672C23×C73—82no—
673C23×C73—82no—
674C23×C73—82no—
675C23×C73—82no—
676C23×C73—82no—
677C23×C73—82no—
678C23×C73C2×#4112yes—
679C23×C73C2×#4112yes—
680C23×C73C2×#4112yes—
681C23×C73H(5,𝔽2)12yes—
682C23×C73H(5,𝔽2)12yes—
683C23×C73H(5,𝔽2)12yes—
684C23×C73H(5,𝔽2)12yes—
685C23×C73C2511yescharacteristic
686Q8×C73—82no—
687D4×C73—44no—
688D4×C73—44no—
689D4×C73—44no—
690D4×C73—44no—
691D4×C73—44no—
692D4×C73—44no—
693D4×C73—44no—
694D4×C73—44no—
695D4×C73—44no—
696D4×C73—82no—
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—
706C2×C4×C73—21no—
707C2×C4×C73—21no—
708C2×C4×C73—21no—
709C2×C4×C73—21no—
710C2×C4×C73—21no—
711C2×C4×C73—21no—
712C2×C4×C73—21no—
713C2×C4×C73—21no—
714C2×C4×C73—21no—
715C2×C4×C73—21no—
716C2×C4×C73—21no—
717C2×C4×C73—21no—
718C2×C4×C73—21no—
719C2×C4×C73—21no—
720C2×C4×C73—21no—
721C2×C4×C73—21no—
722C2×C4×C73—21no—
723C2×C4×C73—21no—
724C2×C4×C73—21no—
725C2×C4×C73—21no—
726C2×C4×C73—21no—
727C2×C4×C73—21no—
728C2×C4×C73—21no—
729C2×C4×C73—21no—
730C2×C4×C73—21no—
731C2×C4×C73—21no—
732C2×C4×C73—21no—
733C2×C4×C73—21no—
734C2×C4×C73—21no—
735C2×C4×C73—21no—
736C2×C4×C73—21no—
737C2×C4×C73—21no—
738C2×C4×C73—21no—
739C2×C4×C73—21no—
740C2×C4×C73—21no—
741C2×C4×C73—21no—
742C2×C4×C73—21no—
743C2×C4×C73—21no—
744C2×C4×C73—21no—
745C2×C4×C73—21no—
746C2×C4×C73—21no—
747C2×C4×C73—21no—
748C2×C4×C73—21no—
749C2×C4×C73—21no—
750C2×C4×C73—21no—
751C2×C4×C73—21no—
752C2×C4×C73—21no—
753C2×C4×C73—21no—
754C2×C4×C73—21no—
755C2×C4×C73—21no—
756C2×C4×C73—21no—
757C2×C4×C73—21no—
758C2×C4×C73—21no—
759C2×C4×C73—21no—
760C2×C4×C73—21no—
761C2×C4×C73—21no—
762C2×C4×C73—21no—
763C2×C4×C73—21no—
764C2×C4×C73—21no—
765C2×C4×C73—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—44no—
775C2×C4×C73—44no—
776C2×C4×C73—44no—
777C2×C4×C73—44no—
778C2×C4×C73—44no—
779C2×C4×C73—44no—
780C2×C4×C73—44no—
781C2×C4×C73—44no—
782C2×C4×C73—82no—
783C2×C4×C73—82no—
784C2×C4×C73—82no—
785C2×C4×C73—82no—
786C2×C4×C73—82no—
787C2×C4×C73H(5,𝔽2)12yes—
788C22×C73—22no—
789C22×C73—22no—
790C22×C73—22no—
791C22×C73—22no—
792C22×C73—22no—
793C22×C73—22no—
794C22×C73—22no—
795C22×C73—22no—
796C22×C73—22no—
797C22×C73—22no—
798C22×C73—22no—
799C22×C73—22no—
800C22×C73—22no—
801C22×C73—22no—
802C22×C73—22no—
803C22×C73—22no—
804C22×C73—22no—
805C22×C73—22no—
806C22×C73—416no—
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—88no—
845C22×C73—88no—
846C22×C73#53814yes—
847C22×C73C22×#4111yescharacteristic
848C22×C73C2×H(5,𝔽2)11yescharacteristic
849C22×C73C2×H(5,𝔽2)11yescharacteristic
850C22×C73C2×H(5,𝔽2)11yescharacteristic
851C22×C73C2×H(5,𝔽2)11yescharacteristic
852C22×C73C2×H(5,𝔽2)11yescharacteristic
853C22×C73#58511yescharacteristic
854C4×C73—22no—
855C4×C73—41no—
856C4×C73—41no—
857C4×C73—41no—
858C4×C73—41no—
859C4×C73—41no—
860C4×C73—41no—
861C4×C73—41no—
862C4×C73—41no—
863C4×C73—41no—
864C4×C73—41no—
865C4×C73—41no—
866C4×C73—41no—
867C4×C73—41no—
868C4×C73—41no—
869C4×C73—41no—
870C4×C73—41no—
871C4×C73—41no—
872C4×C73—41no—
873C4×C73—41no—
874C4×C73—41no—
875C4×C73—41no—
876C4×C73—41no—
877#36776C7311yesmaximal, characteristic, direct product factor, Sylow
878C2×C73—24no—
879C2×C73—42no—
880C2×C73—42no—
881C2×C73—42no—
882C2×C73—42no—
883C2×C73—81no—
884C2×C73—81no—
885C2×C73—81no—
886C2×C73C2×#53811yescharacteristic
887C2×C73#349011yescharacteristic
888C2×C73#350511yescharacteristic
889C2×C73#353211yescharacteristic
890C2×C73#353411yescharacteristic
891C2×C73#353411yescharacteristic
892C2×C73#353711yescharacteristic
893#2849C2×C7311yescharacteristic, complemented
894#2847C2×C7311yescharacteristic, complemented
895#2778C2×C7311yescharacteristic, complemented
896#2778C2×C7311yescharacteristic, complemented
897#2760C2×C7311yescharacteristic, complemented
898#2750C2×C7311yescharacteristic, complemented
899#2749C2×C7311yescharacteristic, complemented
900#2749C2×C7311yescharacteristic, complemented
901#2743C2×C7311yescharacteristic, complemented
902#2703C2×C7311yescharacteristic, complemented
903#2697C2×C7311yescharacteristic, complemented
904#2696C2×C7311yescharacteristic, complemented
905#2688C2×C7311yescharacteristic, complemented
906#2688C2×C7311yescharacteristic, complemented
907#2684C2×C7311yescharacteristic, complemented
908#2678C2×C7311yescharacteristic, complemented
909#2676C2×C7311yescharacteristic, complemented
910#2668C2×C7311yescharacteristic, complemented
911#2643C2×C7311yescharacteristic, complemented
912#2639C2×C7311yescharacteristic, complemented
913#2510C2×C7311yescharacteristic, complemented
914#2472C2×C7311yescharacteristic, complemented
915#2444C2×C7311yescharacteristic, complemented
916#2437C2×C7311yescharacteristic, complemented
917#2424C2×C7311yescharacteristic, complemented
918#2410C2×C7311yescharacteristic, complemented
919#2410C2×C7311yescharacteristic, complemented
920#2403C2×C7311yescharacteristic, complemented
921#2321C2×C7311yescharacteristic, complemented
922#2308C2×C7311yescharacteristic, complemented
923C2×#386C2×C7311yescharacteristic, complemented
924C73#3677611yescharacteristic, direct product factor, Sylow
925C23×D4C22×C7311yescharacteristic
926C23×D4C22×C7311yescharacteristic
927C24×C4C22×C7311yescharacteristic, complemented
928C2×#124C22×C7311yescharacteristic, complemented
929C2×#123C22×C7311yescharacteristic, complemented
930C2×#123C22×C7311yescharacteristic, complemented
931C2×C22⋊Q8C22×C7311yescharacteristic, complemented
932C2×C22⋊Q8C22×C7311yescharacteristic, complemented
933C2×#121C22×C7311yescharacteristic
934C2×#121C22×C7311yescharacteristic
935C2×#121C22×C7311yescharacteristic, complemented
936C2×#121C22×C7311yescharacteristic, complemented
937C2×#121C22×C7311yescharacteristic, complemented
938C2×#121C22×C7311yescharacteristic, complemented
939C2×#121C22×C7311yescharacteristic, complemented
940C2×#120C22×C7311yescharacteristic
941C2×#120C22×C7311yescharacteristic
942C2×#120C22×C7311yescharacteristic
943C2×#120C22×C7311yescharacteristic
944C2×#120C22×C7311yescharacteristic
945C2×#120C22×C7311yescharacteristic, complemented
946C2×#120C22×C7311yescharacteristic, complemented
947C2×C4×D4C22×C7311yescharacteristic, complemented
948C22×C22⋊C4C22×C7311yescharacteristic
949C22×C22⋊C4C22×C7311yescharacteristic
950C22×C22⋊C4C22×C7311yescharacteristic
951C22×C22⋊C4C22×C7311yescharacteristic, complemented
952#401C22×C7311yescharacteristic, complemented
953#401C22×C7311yescharacteristic, complemented
954#400C22×C7311yescharacteristic, complemented
955#400C22×C7311yescharacteristic, complemented
956#400C22×C7311yescharacteristic, complemented
957#400C22×C7311yescharacteristic, complemented
958#400C22×C7311yescharacteristic, complemented
959#400C22×C7311yescharacteristic, complemented
960#400C22×C7311yescharacteristic, complemented
961#399C22×C7311yescharacteristic, complemented
962#397C22×C7311yescharacteristic, complemented
963#397C22×C7311yescharacteristic, complemented
964#397C22×C7311yescharacteristic, complemented
965#397C22×C7311yescharacteristic, complemented
966#397C22×C7311yescharacteristic, complemented
967#397C22×C7311yescharacteristic, complemented
968#397C22×C7311yescharacteristic, complemented
969#397C22×C7311yescharacteristic, complemented
970#397C22×C7311yescharacteristic, complemented
971#397C22×C7311yescharacteristic, complemented
972#396C22×C7311yescharacteristic, complemented
973#396C22×C7311yescharacteristic, complemented
974#396C22×C7311yescharacteristic, complemented
975#396C22×C7311yescharacteristic, complemented
976#394C22×C7311yescharacteristic
977#394C22×C7311yescharacteristic
978#394C22×C7311yescharacteristic, complemented
979#394C22×C7311yescharacteristic, complemented
980#394C22×C7311yescharacteristic, complemented
981#394C22×C7311yescharacteristic, complemented
982#394C22×C7311yescharacteristic, complemented
983#394C22×C7311yescharacteristic, complemented
984#394C22×C7311yescharacteristic, complemented
985#394C22×C7311yescharacteristic, complemented
986#394C22×C7311yescharacteristic, complemented
987#393C22×C7311yescharacteristic, complemented
988#393C22×C7311yescharacteristic, complemented
989#393C22×C7311yescharacteristic, complemented
990#393C22×C7311yescharacteristic, complemented
991#392C22×C7311yescharacteristic
992#392C22×C7311yescharacteristic
993#392C22×C7311yescharacteristic
994#392C22×C7311yescharacteristic
995#392C22×C7311yescharacteristic
996#392C22×C7311yescharacteristic
997#392C22×C7311yescharacteristic, complemented
998#392C22×C7311yescharacteristic, complemented
999#392C22×C7311yescharacteristic, complemented
1000#390C22×C7311yescharacteristic, complemented
1001#390C22×C7311yescharacteristic, complemented
1002#390C22×C7311yescharacteristic, complemented
1003#390C22×C7311yescharacteristic, complemented
1004#388C22×C7311yescharacteristic, complemented
1005#388C22×C7311yescharacteristic, complemented
1006#388C22×C7311yescharacteristic, complemented
1007#388C22×C7311yescharacteristic, complemented
1008#388C22×C7311yescharacteristic, complemented
1009#388C22×C7311yescharacteristic, complemented
1010#388C22×C7311yescharacteristic, complemented
1011#388C22×C7311yescharacteristic, complemented
1012#388C22×C7311yescharacteristic, complemented
1013#388C22×C7311yescharacteristic, complemented
1014#387C22×C7311yescharacteristic, complemented
1015#387C22×C7311yescharacteristic, complemented
1016#386C22×C7311yescharacteristic
1017#386C22×C7311yescharacteristic
1018#386C22×C7311yescharacteristic
1019#386C22×C7311yescharacteristic
1020#386C22×C7311yescharacteristic
1021#386C22×C7311yescharacteristic
1022#386C22×C7311yescharacteristic
1023#386C22×C7311yescharacteristic
1024#386C22×C7311yescharacteristic
1025#386C22×C7311yescharacteristic
1026#386C22×C7311yescharacteristic
1027#386C22×C7311yescharacteristic
1028#386C22×C7311yescharacteristic
1029#386C22×C7311yescharacteristic
1030#386C22×C7311yescharacteristic, complemented
1031#386C22×C7311yescharacteristic, complemented
1032#386C22×C7311yescharacteristic, complemented
1033#386C22×C7311yescharacteristic, complemented
1034#386C22×C7311yescharacteristic, complemented
1035#386C22×C7311yescharacteristic, complemented
1036#386C22×C7311yescharacteristic, complemented
1037#386C22×C7311yescharacteristic, complemented
1038#386C22×C7311yescharacteristic, complemented
1039#386C22×C7311yescharacteristic, complemented
1040#386C22×C7311yescharacteristic, complemented
1041#386C22×C7311yescharacteristic, complemented
1042#386C22×C7311yescharacteristic, complemented
1043#386C22×C7311yescharacteristic, complemented
1044#386C22×C7311yescharacteristic, complemented
1045#386C22×C7311yescharacteristic, complemented
1046#386C22×C7311yescharacteristic, complemented
1047#386C22×C7311yescharacteristic, complemented
1048#386C22×C7311yescharacteristic, complemented
1049#386C22×C7311yescharacteristic, complemented
1050#386C22×C7311yescharacteristic, complemented
1051#386C22×C7311yescharacteristic, complemented
1052#386C22×C7311yescharacteristic, complemented
1053#385C22×C7311yescharacteristic, complemented
1054#385C22×C7311yescharacteristic, complemented
1055#385C22×C7311yescharacteristic, complemented
1056#385C22×C7311yescharacteristic, complemented
1057#385C22×C7311yescharacteristic, complemented
1058#385C22×C7311yescharacteristic, complemented
1059#385C22×C7311yescharacteristic, complemented
1060#385C22×C7311yescharacteristic, complemented
1061#385C22×C7311yescharacteristic, complemented
1062#383C22×C7311yescharacteristic, complemented
1063#381C22×C7311yescharacteristic, complemented
1064#381C22×C7311yescharacteristic, complemented
1065#381C22×C7311yescharacteristic, complemented
1066#381C22×C7311yescharacteristic, complemented
1067#381C22×C7311yescharacteristic, complemented
1068#380C22×C7311yescharacteristic, complemented
1069#380C22×C7311yescharacteristic, complemented
1070#380C22×C7311yescharacteristic, complemented
1071#380C22×C7311yescharacteristic, complemented
1072#379C22×C7311yescharacteristic
1073#379C22×C7311yescharacteristic, complemented
1074#379C22×C7311yescharacteristic, complemented
1075#379C22×C7311yescharacteristic, complemented
1076#379C22×C7311yescharacteristic, complemented
1077C4×C22⋊C4C22×C7311yescharacteristic, complemented
1078C2×#95C22×C7311yescharacteristic, complemented
1079C2×#95C22×C7311yescharacteristic, complemented
1080C25C23×C7311yescharacteristic
1081C25C23×C7311yescharacteristic
1082C25C23×C7311yescharacteristic
1083C22×Q8C23×C7311yescharacteristic
1084C22×D4—24no—
1085C22×D4—24no—
1086C22×D4—42no—
1087C22×D4—42no—
1088C22×D4—42no—
1089C22×D4—42no—
1090C22×D4C23×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
1109C23×C4—42no—
1110C23×C4—42no—
1111C23×C4—42no—
1112C23×C4C23×C7311yescharacteristic
1113C23×C4C23×C7311yescharacteristic
1114C23×C4C23×C7311yescharacteristic
1115C23×C4C23×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#124—42no—
1126#123—42no—
1127#123—42no—
1128C22⋊Q8—42no—
1129C22⋊Q8—42no—
1130#121—42no—
1131#121—42no—
1132#121—42no—
1133#121—42no—
1134#121—42no—
1135#121—42no—
1136#121—42no—
1137#120—24no—
1138#120—42no—
1139#120—42no—
1140#120—42no—
1141#120—42no—
1142#120—42no—
1143#120—42no—
1144C4×D4—42no—
1145C2×C4⋊C4C23×C7311yescharacteristic
1146C2×C4⋊C4C23×C7311yescharacteristic
1147C2×C4⋊C4C23×C7311yescharacteristic
1148C2×C4⋊C4C23×C7311yescharacteristic
1149C2×C4⋊C4C23×C7311yescharacteristic
1150C2×C4⋊C4C23×C7311yescharacteristic
1151C2×C4⋊C4C23×C7311yescharacteristic
1152C2×C4⋊C4C23×C7311yescharacteristic
1153C2×C4⋊C4C23×C7311yescharacteristic
1154C2×C4⋊C4C23×C7311yescharacteristic
1155C2×C4⋊C4C23×C7311yescharacteristic
1156C2×C4⋊C4C23×C7311yescharacteristic
1157C2×C4⋊C4C23×C7311yescharacteristic
1158C2×C4⋊C4C23×C7311yescharacteristic
1159C2×C4⋊C4C23×C7311yescharacteristic
1160C2×C4⋊C4C23×C7311yescharacteristic
1161C2×C22⋊C4—42no—
1162C2×C22⋊C4—42no—
1163C2×C22⋊C4—42no—
1164C2×C22⋊C4—42no—
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×C22⋊C4C23×C7311yescharacteristic
1181C2×C22⋊C4C23×C7311yescharacteristic
1182C2×C22⋊C4C23×C7311yescharacteristic
1183C2×C22⋊C4C23×C7311yescharacteristic
1184C2×C22⋊C4C23×C7311yescharacteristic
1185C2×C22⋊C4C23×C7311yescharacteristic
1186C2×C22⋊C4C23×C7311yescharacteristic
1187C2×C22⋊C4C23×C7311yescharacteristic
1188C2×C22⋊C4C23×C7311yescharacteristic
1189C2×C22⋊C4C23×C7311yescharacteristic
1190C2×C22⋊C4C23×C7311yescharacteristic
1191C2×C22⋊C4C23×C7311yescharacteristic
1192C2×C22⋊C4C23×C7311yescharacteristic
1193C2×C22⋊C4C23×C7311yescharacteristic
1194C2×C22⋊C4C23×C7311yescharacteristic
1195C2×C22⋊C4C23×C7311yescharacteristic
1196C2×C22⋊C4C23×C7311yescharacteristic
1197C2×C22⋊C4C23×C7311yescharacteristic
1198C2×C22⋊C4C23×C7311yescharacteristic
1199C2×C22⋊C4C23×C7311yescharacteristic
1200C2×C22⋊C4C23×C7311yescharacteristic
1201C2×C22⋊C4C23×C7311yescharacteristic
1202C2×C22⋊C4C23×C7311yescharacteristic
1203C2×C22⋊C4C23×C7311yescharacteristic
1204C2×C22⋊C4C23×C7311yescharacteristic
1205C2×C22⋊C4C23×C7311yescharacteristic
1206C2×C22⋊C4C23×C7311yescharacteristic
1207C2×C22⋊C4C23×C7311yescharacteristic
1208C2×C22⋊C4C23×C7311yescharacteristic
1209C2×C22⋊C4C23×C7311yescharacteristic
1210C2×C22⋊C4C23×C7311yescharacteristic
1211C2×C22⋊C4C23×C7311yescharacteristic
1212C2×C22⋊C4C23×C7311yescharacteristic
1213C2×C22⋊C4C23×C7311yescharacteristic
1214C2×C22⋊C4C23×C7311yescharacteristic
1215C2×C22⋊C4C23×C7311yescharacteristic
1216C2×C22⋊C4C23×C7311yescharacteristic
1217C2×C22⋊C4C23×C7311yescharacteristic
1218C2×C22⋊C4C23×C7311yescharacteristic
1219C2×C22⋊C4C23×C7311yescharacteristic
1220C2×C22⋊C4C23×C7311yescharacteristic
1221C2×C22⋊C4C23×C7311yescharacteristic
1222C2×C22⋊C4C23×C7311yescharacteristic
1223C2×C22⋊C4C23×C7311yescharacteristic
1224C2×C22⋊C4C23×C7311yescharacteristic
1225C2×C42C23×C7311yescharacteristic
1226C2×C42C23×C7311yescharacteristic
1227C2×C42C23×C7311yescharacteristic
1228#95C23×C7311yescharacteristic
1229#95C23×C7311yescharacteristic
1230#95C23×C7311yescharacteristic
1231#95C23×C7311yescharacteristic
1232#95C23×C7311yescharacteristic
1233#95C23×C7311yescharacteristic
1234#95C23×C7311yescharacteristic
1235#95C23×C7311yescharacteristic
1236#95C23×C7311yescharacteristic
1237#95C23×C7311yescharacteristic
1238#95C23×C7311yescharacteristic
1239#95C23×C7311yescharacteristic
1240#95C23×C7311yescharacteristic
1241#95C23×C7311yescharacteristic
1242#95C23×C7311yescharacteristic
1243#95C23×C7311yescharacteristic
1244#95C23×C7311yescharacteristic
1245#95C23×C7311yescharacteristic
1246#95C23×C7311yescharacteristic
1247#95C23×C7311yescharacteristic
1248#95C23×C7311yescharacteristic
1249#95C23×C7311yescharacteristic
1250#95C23×C7311yescharacteristic
1251#95C23×C7311yescharacteristic
1252#95C23×C7311yescharacteristic
1253#95C23×C7311yescharacteristic
1254#95C23×C7311yescharacteristic
1255#95C23×C7311yescharacteristic
1256#95C23×C7311yescharacteristic
1257#95C23×C7311yescharacteristic
1258#95C23×C7311yescharacteristic
1259#95C23×C7311yescharacteristic
1260#95C23×C7311yescharacteristic
1261#95C23×C7311yescharacteristic
1262#95C23×C7311yescharacteristic
1263#95C23×C7311yescharacteristic
1264#95C23×C7311yescharacteristic
1265#95C23×C7311yescharacteristic
1266#95C23×C7311yescharacteristic
1267#95C23×C7311yescharacteristic
1268C24—22no—
1269C24—22no—
1270C24—22no—
1271C24—22no—
1272C24—22no—
1273C24—22no—
1274C24—22no—
1275C24—22no—
1276C24—41no—
1277C24—41no—
1278C24—41no—
1279C24—41no—
1280C24—41no—
1281C24—41no—
1282C24—41no—
1283C24—41no—
1284C24—41no—
1285C24—41no—
1286C24—41no—
1287C24—41no—
1288C24#41×C7314yes—
1289C24C24×C7311yescharacteristic
1290C24C24×C7311yescharacteristic
1291C24C24×C7311yescharacteristic
1292C24C24×C7311yescharacteristic
1293C24C24×C7311yescharacteristic
1294C24C24×C7311yescharacteristic
1295C24C24×C7311yescharacteristic
1296C24C24×C7311yescharacteristic
1297C2×Q8—41no—
1298C2×Q8—41no—
1299C2×Q8—41no—
1300C2×D4—22no—
1301C2×D4—22no—
1302C2×D4—22no—
1303C2×D4—22no—
1304C2×D4—22no—
1305C2×D4—22no—
1306C2×D4—22no—
1307C2×D4—22no—
1308C2×D4—22no—
1309C2×D4—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—41no—
1329C2×D4—41no—
1330C2×D4—41no—
1331C2×D4—41no—
1332C2×D4—41no—
1333C2×D4—41no—
1334C2×D4—41no—
1335C2×D4—41no—
1336C2×D4—41no—
1337C2×D4—41no—
1338C2×D4—41no—
1339C2×D4—41no—
1340C2×D4—41no—
1341C2×D4—41no—
1342C2×D4—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—416no—
1358C2×D4—416no—
1359C22×C4—22no—
1360C22×C4—22no—
1361C22×C4—22no—
1362C22×C4—22no—
1363C22×C4—22no—
1364C22×C4—22no—
1365C22×C4—22no—
1366C22×C4—22no—
1367C22×C4—22no—
1368C22×C4—22no—
1369C22×C4—22no—
1370C22×C4—41no—
1371C22×C4—41no—
1372C22×C4—41no—
1373C22×C4—41no—
1374C22×C4—41no—
1375C22×C4—41no—
1376C22×C4—41no—
1377C22×C4—41no—
1378C22×C4—41no—
1379C22×C4—41no—
1380C22×C4—41no—
1381C22×C4—41no—
1382C22×C4—41no—
1383C22×C4—41no—
1384C22×C4—41no—
1385C22×C4—41no—
1386C22×C4—41no—
1387C22×C4—41no—
1388C22×C4—41no—
1389C22×C4—41no—
1390C22×C4—41no—
1391C22×C4—41no—
1392C22×C4—41no—
1393C22×C4—41no—
1394C22×C4—41no—
1395C22×C4—41no—
1396C22×C4—41no—
1397C22×C4—41no—
1398C22×C4—416no—
1399C22×C4C24×C7311yescharacteristic
1400C22×C4C24×C7311yescharacteristic
1401C22×C4C24×C7311yescharacteristic
1402C22×C4C24×C7311yescharacteristic
1403C22×C4C24×C7311yescharacteristic
1404C22×C4C24×C7311yescharacteristic
1405C22×C4C24×C7311yescharacteristic
1406C22×C4C24×C7311yescharacteristic
1407C22×C4C24×C7311yescharacteristic
1408C22×C4C24×C7311yescharacteristic
1409C22×C4C24×C7311yescharacteristic
1410C22×C4C24×C7311yescharacteristic
1411C22×C4C24×C7311yescharacteristic
1412C22×C4C24×C7311yescharacteristic
1413C22×C4C24×C7311yescharacteristic
1414C22×C4C24×C7311yescharacteristic
1415C22×C4C24×C7311yescharacteristic
1416C22×C4C24×C7311yescharacteristic
1417C22×C4C24×C7311yescharacteristic
1418C22×C4C24×C7311yescharacteristic
1419C22×C4C24×C7311yescharacteristic
1420C22×C4C24×C7311yescharacteristic
1421C22×C4C24×C7311yescharacteristic
1422C4⋊C4—22no—
1423C4⋊C4—22no—
1424C4⋊C4—41no—
1425C4⋊C4—41no—
1426C4⋊C4—41no—
1427C4⋊C4—41no—
1428C4⋊C4—41no—
1429C4⋊C4—41no—
1430C4⋊C4—41no—
1431C4⋊C4—41no—
1432C4⋊C4—41no—
1433C4⋊C4—41no—
1434C4⋊C4—41no—
1435C4⋊C4—41no—
1436C4⋊C4—41no—
1437C4⋊C4—41no—
1438C22⋊C4—22no—
1439C22⋊C4—22no—
1440C22⋊C4—22no—
1441C22⋊C4—22no—
1442C22⋊C4—22no—
1443C22⋊C4—22no—
1444C22⋊C4—22no—
1445C22⋊C4—22no—
1446C22⋊C4—22no—
1447C22⋊C4—22no—
1448C22⋊C4—22no—
1449C22⋊C4—22no—
1450C22⋊C4—22no—
1451C22⋊C4—22no—
1452C22⋊C4—41no—
1453C22⋊C4—41no—
1454C22⋊C4—41no—
1455C22⋊C4—41no—
1456C22⋊C4—41no—
1457C22⋊C4—41no—
1458C22⋊C4—41no—
1459C22⋊C4—41no—
1460C22⋊C4—41no—
1461C22⋊C4—41no—
1462C22⋊C4—41no—
1463C22⋊C4—41no—
1464C22⋊C4—41no—
1465C22⋊C4—41no—
1466C22⋊C4—41no—
1467C22⋊C4—41no—
1468C22⋊C4—41no—
1469C22⋊C4—41no—
1470C22⋊C4—41no—
1471C22⋊C4—41no—
1472C22⋊C4—41no—
1473C22⋊C4—41no—
1474C22⋊C4—41no—
1475C22⋊C4—41no—
1476C22⋊C4—41no—
1477C22⋊C4—41no—
1478C22⋊C4—41no—
1479C22⋊C4—41no—
1480C22⋊C4—41no—
1481C22⋊C4—41no—
1482C22⋊C4—41no—
1483C22⋊C4—41no—
1484C22⋊C4—41no—
1485C22⋊C4—41no—
1486C22⋊C4—41no—
1487C22⋊C4—41no—
1488C22⋊C4—41no—
1489C22⋊C4—41no—
1490C22⋊C4—41no—
1491C22⋊C4—41no—
1492C22⋊C4—41no—
1493C22⋊C4—41no—
1494C22⋊C4—41no—
1495C22⋊C4—41no—
1496C22⋊C4—41no—
1497C22⋊C4—41no—
1498C42—41no—
1499C42—41no—
1500C42—41no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—28no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—21no—
1530C23—28no—
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—44no—
1553C23—44no—
1554C23—44no—
1555C23—44no—
1556C23—44no—
1557C23—44no—
1558C23—44no—
1559C23—44no—
1560C23—44no—
1561C23—82no—
1562C23—82no—
1563C23—82no—
1564C23—82no—
1565C23—82no—
1566C23—82no—
1567C23—82no—
1568C23—82no—
1569C23—82no—
1570C23—82no—
1571C23C2×#41×C7312yes—
1572C23C2×#41×C7312yes—
1573C23C2×#41×C7312yes—
1574C23H(5,𝔽2)×C7312yes—
1575C23H(5,𝔽2)×C7312yes—
1576C23H(5,𝔽2)×C7312yes—
1577C23H(5,𝔽2)×C7312yes—
1578C23C25×C7311yescharacteristic
1579Q8—82no—
1580D4—44no—
1581D4—44no—
1582D4—44no—
1583D4—44no—
1584D4—44no—
1585D4—44no—
1586D4—44no—
1587D4—44no—
1588D4—44no—
1589D4—82no—
1590D4—82no—
1591D4—82no—
1592D4—82no—
1593D4—82no—
1594D4—82no—
1595D4—82no—
1596D4—82no—
1597D4—82no—
1598D4—82no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—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—44no—
1668C2×C4—44no—
1669C2×C4—44no—
1670C2×C4—44no—
1671C2×C4—44no—
1672C2×C4—44no—
1673C2×C4—44no—
1674C2×C4—44no—
1675C2×C4—82no—
1676C2×C4—82no—
1677C2×C4—82no—
1678C2×C4—82no—
1679C2×C4—82no—
1680C2×C4H(5,𝔽2)×C7312yes—
1681C22—22no—
1682C22—22no—
1683C22—22no—
1684C22—22no—
1685C22—22no—
1686C22—22no—
1687C22—22no—
1688C22—22no—
1689C22—22no—
1690C22—22no—
1691C22—22no—
1692C22—22no—
1693C22—22no—
1694C22—22no—
1695C22—22no—
1696C22—22no—
1697C22—22no—
1698C22—22no—
1699C22—416no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—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—88no—
1738C22—88no—
1739C22#538×C7314yes—
1740C22C22×#41×C7311yescharacteristic
1741C22C2×H(5,𝔽2)×C7311yescharacteristic
1742C22C2×H(5,𝔽2)×C7311yescharacteristic
1743C22C2×H(5,𝔽2)×C7311yescharacteristic
1744C22C2×H(5,𝔽2)×C7311yescharacteristic
1745C22C2×H(5,𝔽2)×C7311yescharacteristic
1746C22#585×C7311yescharacteristic
1747C4—22no—
1748C4—41no—
1749C4—41no—
1750C4—41no—
1751C4—41no—
1752C4—41no—
1753C4—41no—
1754C4—41no—
1755C4—41no—
1756C4—41no—
1757C4—41no—
1758C4—41no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—41no—
1763C4—41no—
1764C4—41no—
1765C4—41no—
1766C4—41no—
1767C4—41no—
1768C4—41no—
1769C4—41no—
1770C2—24no—
1771C2—42no—
1772C2—42no—
1773C2—42no—
1774C2—42no—
1775C2—81no—
1776C2—81no—
1777C2—81no—
1778C2C2×#538×C7311yescharacteristic
1779C2C73×#349011yescharacteristic
1780C2C73×#350511yescharacteristic
1781C2C73×#353211yescharacteristic
1782C2C73×#353411yescharacteristic
1783C2C73×#353411yescharacteristic
1784C2C73×#353711yescharacteristic
subgroupG/H
center, socleC23×C73C25
commutator, Frattini, cosocleC23C25×C73
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C73 ◁ G

Complements

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

NH ≅ G/Ntype
1. C73×#2849C2semidirect
2. C73×#2847C2semidirect
3. C73×#2778C2semidirect
4. C73×#2778C2semidirect
5. C73×#2760C2semidirect
6. C73×#2750C2semidirect
7. C73×#2749C2semidirect
8. C73×#2749C2semidirect
9. C73×#2743C2semidirect
10. C73×#2703C2semidirect
11. C73×#2697C2semidirect
12. C73×#2696C2semidirect
13. C73×#2688C2semidirect
14. C73×#2688C2semidirect
15. C73×#2684C2semidirect
16. C73×#2678C2semidirect
17. C73×#2676C2semidirect
18. C73×#2668C2semidirect
19. C73×#2643C2semidirect
20. C73×#2639C2semidirect
21. C73×#2510C2semidirect
22. C73×#2472C2semidirect
23. C73×#2444C2semidirect
24. C73×#2437C2semidirect
25. C73×#2424C2semidirect
26. C73×#2410C2semidirect
27. C73×#2410C2semidirect
28. C73×#2403C2semidirect
29. C73×#2321C2semidirect
30. C73×#2308C2semidirect
31. C2×#386×C73C2semidirect
34. C24×C4×C73C22semidirect
35. C2×#124×C73C22semidirect
36. C2×#123×C73C22semidirect
37. C2×#123×C73C22semidirect
38. C2×C22⋊Q8×C73C22semidirect
39. C2×C22⋊Q8×C73C22semidirect
42. C2×#121×C73C22semidirect
43. C2×#121×C73C22semidirect
44. C2×#121×C73C22semidirect
45. C2×#121×C73C22semidirect
46. C2×#121×C73C22semidirect
52. C2×#120×C73C22semidirect
53. C2×#120×C73C22semidirect
54. C2×C4×D4×C73C22semidirect
58. C22×C22⋊C4×C73C22semidirect
59. #401×C73C22semidirect
60. #401×C73C22semidirect
61. #400×C73C22semidirect
62. #400×C73C22semidirect
63. #400×C73C22semidirect
64. #400×C73C22semidirect
65. #400×C73C22semidirect
66. #400×C73C22semidirect
67. #400×C73C22semidirect
68. #399×C73C22semidirect
69. #397×C73C22semidirect
70. #397×C73C22semidirect
71. #397×C73C22semidirect
72. #397×C73C22semidirect
73. #397×C73C22semidirect
74. #397×C73C22semidirect
75. #397×C73C22semidirect
76. #397×C73C22semidirect
77. #397×C73C22semidirect
78. #397×C73C22semidirect
79. #396×C73C22semidirect
80. #396×C73C22semidirect
81. #396×C73C22semidirect
82. #396×C73C22semidirect
85. #394×C73C22semidirect
86. #394×C73C22semidirect
87. #394×C73C22semidirect
88. #394×C73C22semidirect
89. #394×C73C22semidirect
90. #394×C73C22semidirect
91. #394×C73C22semidirect
92. #394×C73C22semidirect
93. #394×C73C22semidirect
94. #393×C73C22semidirect
95. #393×C73C22semidirect
96. #393×C73C22semidirect
97. #393×C73C22semidirect
104. #392×C73C22semidirect
105. #392×C73C22semidirect
106. #392×C73C22semidirect
107. #390×C73C22semidirect
108. #390×C73C22semidirect
109. #390×C73C22semidirect
110. #390×C73C22semidirect
111. #388×C73C22semidirect
112. #388×C73C22semidirect
113. #388×C73C22semidirect
114. #388×C73C22semidirect
115. #388×C73C22semidirect
116. #388×C73C22semidirect
117. #388×C73C22semidirect
118. #388×C73C22semidirect
119. #388×C73C22semidirect
120. #388×C73C22semidirect
121. #387×C73C22semidirect
122. #387×C73C22semidirect
137. #386×C73C22semidirect
138. #386×C73C22semidirect
139. #386×C73C22semidirect
140. #386×C73C22semidirect
141. #386×C73C22semidirect
142. #386×C73C22semidirect
143. #386×C73C22semidirect
144. #386×C73C22semidirect
145. #386×C73C22semidirect
146. #386×C73C22semidirect
147. #386×C73C22semidirect
148. #386×C73C22semidirect
149. #386×C73C22semidirect
150. #386×C73C22semidirect
151. #386×C73C22semidirect
152. #386×C73C22semidirect
153. #386×C73C22semidirect
154. #386×C73C22semidirect
155. #386×C73C22semidirect
156. #386×C73C22semidirect
157. #386×C73C22semidirect
158. #386×C73C22semidirect
159. #386×C73C22semidirect
160. #385×C73C22semidirect
161. #385×C73C22semidirect
162. #385×C73C22semidirect
163. #385×C73C22semidirect
164. #385×C73C22semidirect
165. #385×C73C22semidirect
166. #385×C73C22semidirect
167. #385×C73C22semidirect
168. #385×C73C22semidirect
169. #383×C73C22semidirect
170. #381×C73C22semidirect
171. #381×C73C22semidirect
172. #381×C73C22semidirect
173. #381×C73C22semidirect
174. #381×C73C22semidirect
175. #380×C73C22semidirect
176. #380×C73C22semidirect
177. #380×C73C22semidirect
178. #380×C73C22semidirect
180. #379×C73C22semidirect
181. #379×C73C22semidirect
182. #379×C73C22semidirect
183. #379×C73C22semidirect
184. C4×C22⋊C4×C73C22semidirect
185. C2×#95×C73C22semidirect
186. C2×#95×C73C22semidirect
877. #36776C73direct (N × H)
893. #2849C2×C73semidirect
894. #2847C2×C73semidirect
895. #2778C2×C73semidirect
896. #2778C2×C73semidirect
897. #2760C2×C73semidirect
898. #2750C2×C73semidirect
899. #2749C2×C73semidirect
900. #2749C2×C73semidirect
901. #2743C2×C73semidirect
902. #2703C2×C73semidirect
903. #2697C2×C73semidirect
904. #2696C2×C73semidirect
905. #2688C2×C73semidirect
906. #2688C2×C73semidirect
907. #2684C2×C73semidirect
908. #2678C2×C73semidirect
909. #2676C2×C73semidirect
910. #2668C2×C73semidirect
911. #2643C2×C73semidirect
912. #2639C2×C73semidirect
913. #2510C2×C73semidirect
914. #2472C2×C73semidirect
915. #2444C2×C73semidirect
916. #2437C2×C73semidirect
917. #2424C2×C73semidirect
918. #2410C2×C73semidirect
919. #2410C2×C73semidirect
920. #2403C2×C73semidirect
921. #2321C2×C73semidirect
922. #2308C2×C73semidirect
923. C2×#386C2×C73semidirect
924. C73#36776direct (N × H)
927. C24×C4C22×C73semidirect
928. C2×#124C22×C73semidirect
929. C2×#123C22×C73semidirect
930. C2×#123C22×C73semidirect
931. C2×C22⋊Q8C22×C73semidirect
932. C2×C22⋊Q8C22×C73semidirect
935. C2×#121C22×C73semidirect
936. C2×#121C22×C73semidirect
937. C2×#121C22×C73semidirect
938. C2×#121C22×C73semidirect
939. C2×#121C22×C73semidirect
945. C2×#120C22×C73semidirect
946. C2×#120C22×C73semidirect
947. C2×C4×D4C22×C73semidirect
951. C22×C22⋊C4C22×C73semidirect
952. #401C22×C73semidirect
953. #401C22×C73semidirect
954. #400C22×C73semidirect
955. #400C22×C73semidirect
956. #400C22×C73semidirect
957. #400C22×C73semidirect
958. #400C22×C73semidirect
959. #400C22×C73semidirect
960. #400C22×C73semidirect
961. #399C22×C73semidirect
962. #397C22×C73semidirect
963. #397C22×C73semidirect
964. #397C22×C73semidirect
965. #397C22×C73semidirect
966. #397C22×C73semidirect
967. #397C22×C73semidirect
968. #397C22×C73semidirect
969. #397C22×C73semidirect
970. #397C22×C73semidirect
971. #397C22×C73semidirect
972. #396C22×C73semidirect
973. #396C22×C73semidirect
974. #396C22×C73semidirect
975. #396C22×C73semidirect
978. #394C22×C73semidirect
979. #394C22×C73semidirect
980. #394C22×C73semidirect
981. #394C22×C73semidirect
982. #394C22×C73semidirect
983. #394C22×C73semidirect
984. #394C22×C73semidirect
985. #394C22×C73semidirect
986. #394C22×C73semidirect
987. #393C22×C73semidirect
988. #393C22×C73semidirect
989. #393C22×C73semidirect
990. #393C22×C73semidirect
997. #392C22×C73semidirect
998. #392C22×C73semidirect
999. #392C22×C73semidirect
1000. #390C22×C73semidirect
1001. #390C22×C73semidirect
1002. #390C22×C73semidirect
1003. #390C22×C73semidirect
1004. #388C22×C73semidirect
1005. #388C22×C73semidirect
1006. #388C22×C73semidirect
1007. #388C22×C73semidirect
1008. #388C22×C73semidirect
1009. #388C22×C73semidirect
1010. #388C22×C73semidirect
1011. #388C22×C73semidirect
1012. #388C22×C73semidirect
1013. #388C22×C73semidirect
1014. #387C22×C73semidirect
1015. #387C22×C73semidirect
1030. #386C22×C73semidirect
1031. #386C22×C73semidirect
1032. #386C22×C73semidirect
1033. #386C22×C73semidirect
1034. #386C22×C73semidirect
1035. #386C22×C73semidirect
1036. #386C22×C73semidirect
1037. #386C22×C73semidirect
1038. #386C22×C73semidirect
1039. #386C22×C73semidirect
1040. #386C22×C73semidirect
1041. #386C22×C73semidirect
1042. #386C22×C73semidirect
1043. #386C22×C73semidirect
1044. #386C22×C73semidirect
1045. #386C22×C73semidirect
1046. #386C22×C73semidirect
1047. #386C22×C73semidirect
1048. #386C22×C73semidirect
1049. #386C22×C73semidirect
1050. #386C22×C73semidirect
1051. #386C22×C73semidirect
1052. #386C22×C73semidirect
1053. #385C22×C73semidirect
1054. #385C22×C73semidirect
1055. #385C22×C73semidirect
1056. #385C22×C73semidirect
1057. #385C22×C73semidirect
1058. #385C22×C73semidirect
1059. #385C22×C73semidirect
1060. #385C22×C73semidirect
1061. #385C22×C73semidirect
1062. #383C22×C73semidirect
1063. #381C22×C73semidirect
1064. #381C22×C73semidirect
1065. #381C22×C73semidirect
1066. #381C22×C73semidirect
1067. #381C22×C73semidirect
1068. #380C22×C73semidirect
1069. #380C22×C73semidirect
1070. #380C22×C73semidirect
1071. #380C22×C73semidirect
1073. #379C22×C73semidirect
1074. #379C22×C73semidirect
1075. #379C22×C73semidirect
1076. #379C22×C73semidirect
1077. C4×C22⋊C4C22×C73semidirect
1078. C2×#95C22×C73semidirect
1079. C2×#95C22×C73semidirect

Maximal subgroups

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

subgroupindex
C73×#28492
C73×#28472
C73×#27782
C73×#27602
C73×#27502
C73×#27492
C73×#27432
C73×#27032
C73×#26972
C73×#26962
C73×#26882
C73×#26842
C73×#26782
C73×#26762
C73×#26682
C73×#26432
C73×#26392
C73×#25102
C73×#24722
C73×#24442
C73×#24372
C73×#24242
C73×#24102
C73×#24032
C73×#23212
C73×#23082
C2×#386×C732
#3677673