Finite Group Databasebeta

← #3225×D73 #33957371

Subgroups — #3225×D73 #33957371

Order 18688.

2086 conjugacy classes of subgroups.

The subgroup lattice has 1848 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#542×D73C211yesmaximal, characteristic, complemented
2#536×D73C211yesmaximal, characteristic, complemented
3#22621047C211yesmaximal, characteristic, complemented
4#22621046C211yesmaximal, characteristic, complemented
5#22621045C211yesmaximal, characteristic, complemented
6#22621044C211yesmaximal, characteristic, complemented
7#22621043C211yesmaximal, characteristic, complemented
8#22621042C211yesmaximal, characteristic, complemented
9#22621041C211yesmaximal, characteristic, complemented
10#22621040C211yesmaximal, characteristic, complemented
11#22621039C211yesmaximal, characteristic, complemented
12#22621038C211yesmaximal, characteristic, complemented
13#22621037C211yesmaximal, characteristic, complemented
14#22621036C211yesmaximal, characteristic, complemented
15#22621035C211yesmaximal, characteristic, complemented
16#22621034C211yesmaximal, characteristic, complemented
17#22621033C211yesmaximal, characteristic, complemented
18#497×D73C211yesmaximal, characteristic, complemented
19#495×D73C211yesmaximal, characteristic, complemented
20#489×D73C211yesmaximal, characteristic, complemented
21#487×D73C211yesmaximal, characteristic, complemented
22#464×D73C211yesmaximal, characteristic, complemented
23#462×D73C211yesmaximal, characteristic, complemented
24#463×D73C211yesmaximal, characteristic, complemented
25#461×D73C211yesmaximal, characteristic, complemented
26#452×D73C211yesmaximal, characteristic, complemented
27#449×D73C211yesmaximal, characteristic
28#451×D73C211yesmaximal, characteristic, complemented
29#448×D73C211yesmaximal, characteristic, complemented
30#433×D73C211yesmaximal, characteristic, complemented
31C73×#3225C211yesmaximal, characteristic, complemented
32C2×#41×D73C2211yescharacteristic
33C22×Q8×D73C2211yescharacteristic
34C2×Q16×D73C2211yescharacteristic
35C2×Q16×D73C2211yescharacteristic
36C2×Q16×D73C2211yescharacteristic
37C2×SD16×D73C2211yescharacteristic
38C2×SD16×D73C2211yescharacteristic
39C2×SD16×D73C2211yescharacteristic
40C2×SD16×D73C2211yescharacteristic
41C2×D8×D73C2211yescharacteristic
42#17989211C2211yescharacteristic, complemented
43#17989210C2211yescharacteristic, complemented
44#17989209C2211yescharacteristic, complemented
45#17989208C2211yescharacteristic, complemented
46#17989207—21no—
47#17989206C2211yescharacteristic, complemented
48#17989205—21no—
49#17989204C2211yescharacteristic, complemented
50#17989203—21no—
51#17989202C2211yescharacteristic, complemented
52#17989201—21no—
53#17989163C2211yescharacteristic, complemented
54#17989162C2211yescharacteristic, complemented
55#17989162C2211yescharacteristic, complemented
56#17989161C2211yescharacteristic, complemented
57#17989160—21no—
58#17989160—21no—
59#17989159—21no—
60#17989159—21no—
61#17989158C2211yescharacteristic, complemented
62#17989157C2211yescharacteristic, complemented
63#17989157C2211yescharacteristic, complemented
64C4⋊Q8×D73C2211yescharacteristic
65C4⋊Q8×D73C2211yescharacteristic
66C4⋊Q8×D73C2211yescharacteristic
67#126×D73—21no—
68#124×D73—21no—
69#124×D73C2211yescharacteristic
70#124×D73C2211yescharacteristic
71#124×D73C2211yescharacteristic
72#123×D73—21no—
73#123×D73—21no—
74#123×D73—21no—
75C22⋊Q8×D73—21no—
76C22⋊Q8×D73—21no—
77C22⋊Q8×D73—21no—
78C22⋊Q8×D73C2211yescharacteristic
79#121×D73C2211yescharacteristic
80C4×Q8×D73C2211yescharacteristic
81C4×D4×D73C2211yescharacteristic
82#117×D73C2211yescharacteristic
83#17988982C2211yescharacteristic, complemented
84#17988981C2211yescharacteristic, complemented
85#17988980C2211yescharacteristic, complemented
86#17988980C2211yescharacteristic, complemented
87#17988979C2211yescharacteristic, complemented
88#17988978C2211yescharacteristic, complemented
89#17988978C2211yescharacteristic, complemented
90#17988972C2211yescharacteristic, complemented
91#17988971C2211yescharacteristic, complemented
92#17988970C2211yescharacteristic, complemented
93#17988969C2211yescharacteristic, complemented
94#17988969C2211yescharacteristic, complemented
95#17988968C2211yescharacteristic, complemented
96#17988968C2211yescharacteristic, complemented
97#17988949C2211yescharacteristic, complemented
98#17988948C2211yescharacteristic, complemented
99#17988948C2211yescharacteristic, complemented
100#17988947C2211yescharacteristic, complemented
101#17988946C2211yescharacteristic, complemented
102#17988945C2211yescharacteristic, complemented
103#17988945C2211yescharacteristic, complemented
104#17988939C2211yescharacteristic, complemented
105#17988938C2211yescharacteristic, complemented
106#17988937C2211yescharacteristic, complemented
107#17988936C2211yescharacteristic, complemented
108#17988936C2211yescharacteristic, complemented
109#17988936C2211yescharacteristic, complemented
110#17988936C2211yescharacteristic, complemented
111#17988812C2211yescharacteristic, complemented
112#17988811C2211yescharacteristic, complemented
113#17988810C2211yescharacteristic, complemented
114#17988809C2211yescharacteristic, complemented
115#17988808C2211yescharacteristic, complemented
116#17988807C2211yescharacteristic, complemented
117#17988806C2211yescharacteristic, complemented
118#17988805C2211yescharacteristic, complemented
119#17988804C2211yescharacteristic, complemented
120#17988803C2211yescharacteristic, complemented
121#17988802C2211yescharacteristic, complemented
122#17988801C2211yescharacteristic, complemented
123#17988800C2211yescharacteristic, complemented
124#17988799C2211yescharacteristic, complemented
125#17988798C2211yescharacteristic, complemented
126#17988797C2211yescharacteristic, complemented
127#17988796C2211yescharacteristic, complemented
128#17988796C2211yescharacteristic, complemented
129#17988795C2211yescharacteristic, complemented
130#17988795C2211yescharacteristic, complemented
131#17988794C2211yescharacteristic, complemented
132#17988793C2211yescharacteristic, complemented
133#17988792C2211yescharacteristic, complemented
134#17988791C2211yescharacteristic, complemented
135#17988791C2211yescharacteristic, complemented
136#17988790C2211yescharacteristic, complemented
137#17988790C2211yescharacteristic, complemented
138#17988789C2211yescharacteristic, complemented
139#17988752C2211yescharacteristic, complemented
140#17988751C2211yescharacteristic, complemented
141#17988750C2211yescharacteristic, complemented
142#17988749C2211yescharacteristic, complemented
143#17988748C2211yescharacteristic, complemented
144#17988747C2211yescharacteristic, complemented
145#17988746C2211yescharacteristic, complemented
146#17988745C2211yescharacteristic, complemented
147#17988744C2211yescharacteristic, complemented
148#17988744C2211yescharacteristic, complemented
149#17988743C2211yescharacteristic, complemented
150#17988742C2211yescharacteristic, complemented
151#17988741C2211yescharacteristic, complemented
152#17988741C2211yescharacteristic, complemented
153#17988735C2211yescharacteristic
154#17988734C2211yescharacteristic
155#17988733C2211yescharacteristic
156#17988732C2211yescharacteristic
157#17988731C2211yescharacteristic
158#17988730C2211yescharacteristic
159#17988729C2211yescharacteristic
160#17988728C2211yescharacteristic, complemented
161#17988727C2211yescharacteristic, complemented
162#17988727C2211yescharacteristic, complemented
163#17988726C2211yescharacteristic, complemented
164#17988725C2211yescharacteristic, complemented
165#17988724C2211yescharacteristic, complemented
166#17988724C2211yescharacteristic, complemented
167#17988649C2211yescharacteristic, complemented
168#17988648C2211yescharacteristic, complemented
169#17988647C2211yescharacteristic, complemented
170#17988647C2211yescharacteristic, complemented
171#17988646C2211yescharacteristic, complemented
172#17988645C2211yescharacteristic, complemented
173#17988645C2211yescharacteristic, complemented
174C4⋊C8×D73C2211yescharacteristic
175C4⋊C8×D73C2211yescharacteristic
176#103×D73C2211yescharacteristic
177#103×D73C2211yescharacteristic
178#103×D73C2211yescharacteristic
179#103×D73C2211yescharacteristic
180#103×D73C2211yescharacteristic
181#103×D73C2211yescharacteristic
182#102×D73C2211yescharacteristic
183#102×D73C2211yescharacteristic
184C22⋊C8×D73C2211yescharacteristic
185C22⋊C8×D73C2211yescharacteristic
186#97×D73C2211yescharacteristic
187C4×C8×D73C2211yescharacteristic
188#542×C73C2211yescharacteristic, complemented
189#536×C73C2211yescharacteristic, complemented
190#497×C73C2211yescharacteristic, complemented
191#495×C73C2211yescharacteristic, complemented
192#489×C73C2211yescharacteristic, complemented
193#487×C73C2211yescharacteristic, complemented
194#464×C73C2211yescharacteristic, complemented
195#463×C73C2211yescharacteristic, complemented
196#462×C73C2211yescharacteristic, complemented
197#461×C73C2211yescharacteristic, complemented
198#452×C73C2211yescharacteristic, complemented
199#451×C73C2211yescharacteristic, complemented
200#449×C73C2211yescharacteristic
201#448×C73C2211yescharacteristic, complemented
202#433×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924028—21no—
205C2×#11924028C2311yescharacteristic
206C2×#11924027—21no—
207C2×#11924027C2311yescharacteristic
208#41×D73—42no—
209#41×D73—42no—
210C22×Dic146—21no—
211C22×Dic146C2311yescharacteristic
212C2×Q8×D73—21no—
213C2×Q8×D73—21no—
214C2×Q8×D73—21no—
215C2×Q8×D73—42no—
216C2×Q8×D73—42no—
217C2×Q8×D73C2311yescharacteristic
218C2×Q8×D73C2311yescharacteristic
219C2×Q8×D73C2311yescharacteristic
220C2×Q8×D73C2311yescharacteristic
221C2×Q8×D73C2311yescharacteristic
222C2×Q8×D73C2311yescharacteristic
223C2×D4×D73—21no—
224C2×D4×D73—21no—
225C2×D4×D73C2311yescharacteristic
226C2×D4×D73C2311yescharacteristic
227C22×C4×D73—21no—
228C22×C4×D73—21no—
229C22×C4×D73—21no—
230C22×C4×D73C2311yescharacteristic
231C2×Dic292C2311yescharacteristic
232C2×Dic292C2311yescharacteristic
233C2×Dic292C2311yescharacteristic
234C2×#11924018C2311yescharacteristic
235C2×#11924018C2311yescharacteristic
236C2×#11924018C2311yescharacteristic
237C2×#11924018C2311yescharacteristic
238C2×#11924018C2311yescharacteristic
239C2×#11924018C2311yescharacteristic
240Q16×D73—42no—
241Q16×D73—42no—
242Q16×D73—42no—
243C2×#11924017C2311yescharacteristic
244C2×#11924017C2311yescharacteristic
245C2×#11924017C2311yescharacteristic
246C2×#11924017C2311yescharacteristic
247C2×#11924016C2311yescharacteristic
248C2×#11924016C2311yescharacteristic
249C2×#11924016C2311yescharacteristic
250C2×#11924016C2311yescharacteristic
251C2×#11924015C2311yescharacteristic
252C2×#11924015C2311yescharacteristic
253C2×#11924015C2311yescharacteristic
254C2×#11924015C2311yescharacteristic
255SD16×D73—42no—
256SD16×D73—42no—
257SD16×D73—42no—
258SD16×D73—42no—
259C2×D584C2311yescharacteristic
260C2×#11924013C2311yescharacteristic
261C2×#11924013C2311yescharacteristic
262D8×D73—42no—
263C2×C8×D73C2311yescharacteristic
264C2×C8×D73C2311yescharacteristic
265C2×C8×D73C2311yescharacteristic
266C2×C8×D73C2311yescharacteristic
267#14556591C2311yescharacteristic
268#14556591C2311yescharacteristic
269#14556591C2311yescharacteristic
270#14556590—21no—
271#14556590—21no—
272#14556590—21no—
273#14556590—21no—
274#14556590—21no—
275#14556590C2311yescharacteristic
276#14556590C2311yescharacteristic
277#14556589—21no—
278#14556589C2311yescharacteristic
279#14556589C2311yescharacteristic
280#14556589C2311yescharacteristic
281#14556589C2311yescharacteristic
282#14556586—21no—
283#14556586—21no—
284#14556586—21no—
285#14556585—21no—
286#14556584—21no—
287#14556584—21no—
288#14556584—21no—
289#14556580—21no—
290#14556580C2311yescharacteristic
291#14556580C2311yescharacteristic
292#14556580C2311yescharacteristic
293#14556579—21no—
294#14556579C2311yescharacteristic
295#14556579C2311yescharacteristic
296#14556579C2311yescharacteristic
297#14556578—21no—
298#14556578C2311yescharacteristic
299#14556578C2311yescharacteristic
300#14556578C2311yescharacteristic
301#14556577—21no—
302#14556577—21no—
303#14556577—21no—
304#14556577—21no—
305#14556577—21no—
306#14556577—21no—
307#14556577—21no—
308#14556577—21no—
309#14556577—21no—
310#14556577—21no—
311#14556576—21no—
312#14556576—21no—
313#14556576—21no—
314#14556576—21no—
315#14556576—21no—
316#14556576—21no—
317#14556575—21no—
318#14556575—21no—
319#14556575—21no—
320#14556574—21no—
321#14556574—21no—
322#14556574—21no—
323#14556573—21no—
324#14556573—21no—
325#14556573—21no—
326#14556573—21no—
327#14556573—21no—
328#14556573—21no—
329#14556572—21no—
330#14556572—21no—
331#14556572—21no—
332#14556571—21no—
333#14556571—21no—
334#14556571—21no—
335#14556571C2311yescharacteristic
336#14556570—21no—
337#14556570—21no—
338#14556570—21no—
339#14556570C2311yescharacteristic
340#14556569—21no—
341#14556569—21no—
342#14556569—21no—
343#14556569—21no—
344#14556569—21no—
345#14556569—21no—
346#14556569—21no—
347#14556568—21no—
348#14556568—21no—
349#14556568—21no—
350#14556568—21no—
351#14556568—21no—
352#14556568—21no—
353#14556568—21no—
354#14556567—21no—
355#14556567—21no—
356#14556567—21no—
357#14556567C2311yescharacteristic
358#14556566C2311yescharacteristic
359#14556565C2311yescharacteristic
360#14556564—21no—
361#14556563—21no—
362#14556562C2311yescharacteristic
363Q8×Dic73C2311yescharacteristic
364C4×Dic146—21no—
365C4×Dic146C2311yescharacteristic
366#14556556—21no—
367#14556556C2311yescharacteristic
368C4×D292C2311yescharacteristic
369D4×Dic73C2311yescharacteristic
370#14556553C2311yescharacteristic
371C4×C22⋊D73—21no—
372#14556551—21no—
373#14556550C2311yescharacteristic
374#14556549D411yescharacteristic
375#14556549D411yescharacteristic
376#14556548C2311yescharacteristic
377#14556548C2311yescharacteristic
378#14556547D411yescharacteristic
379#14556547D411yescharacteristic
380C4⋊C4×D73—21no—
381C4⋊C4×D73—21no—
382C4⋊C4×D73—21no—
383C4⋊C4×D73—21no—
384C4⋊C4×D73—21no—
385C4⋊C4×D73—21no—
386C4⋊C4×D73—21no—
387C4⋊C4×D73D411yescharacteristic
388C4⋊C4×D73D411yescharacteristic
389C4⋊C4×D73C2311yescharacteristic
390C4⋊C4×D73C2311yescharacteristic
391C22⋊C4×D73—21no—
392C22⋊C4×D73—21no—
393C22⋊C4×D73—21no—
394C22⋊C4×D73—21no—
395C22⋊C4×D73—21no—
396C22⋊C4×D73—21no—
397C22⋊C4×D73—21no—
398C22⋊C4×D73—21no—
399C22⋊C4×D73—21no—
400C22⋊C4×D73D411yescharacteristic
401C22⋊C4×D73D411yescharacteristic
402C42×D73—21no—
403C42×D73C2311yescharacteristic
404C42×D73C2311yescharacteristic
405C4⋊#10596831C2311yescharacteristic
406C4⋊#10596831C2311yescharacteristic
407#14556520C2311yescharacteristic
408#14556520C2311yescharacteristic
409#14556520C2311yescharacteristic
410#14556520C2311yescharacteristic
411#14556516C2311yescharacteristic
412#14556516C2311yescharacteristic
413#14556516C2311yescharacteristic
414#14556516C2311yescharacteristic
415#14556516C2311yescharacteristic
416#14556516C2311yescharacteristic
417#14556515C2311yescharacteristic
418#14556515C2311yescharacteristic
419#14556515C2311yescharacteristic
420#14556515C2311yescharacteristic
421#14556515C2311yescharacteristic
422#14556515C2311yescharacteristic
423#14556514C2311yescharacteristic
424#14556514C2311yescharacteristic
425#14556514C2311yescharacteristic
426#14556514C2311yescharacteristic
427#14556514C2311yescharacteristic
428#14556514C2311yescharacteristic
429#14556513C2311yescharacteristic
430#14556513C2311yescharacteristic
431#14556512C2311yescharacteristic
432#14556512C2311yescharacteristic
433#14556511C2311yescharacteristic
434#14556511C2311yescharacteristic
435C22⋊#10596831C2311yescharacteristic
436C22⋊#10596831C2311yescharacteristic
437#14556503C2311yescharacteristic
438#14556503C2311yescharacteristic
439#14556503C2311yescharacteristic
440#14556503C2311yescharacteristic
441#14556502C2311yescharacteristic
442#14556501C2311yescharacteristic
443#14556501C2311yescharacteristic
444C4×#10596831C2311yescharacteristic
445C8×Dic73C2311yescharacteristic
446C8×Dic73C2311yescharacteristic
447C2×#41×C73C2311yescharacteristic
448C22×Q8×C73C2311yescharacteristic
449C2×Q16×C73C2311yescharacteristic
450C2×Q16×C73C2311yescharacteristic
451C2×Q16×C73C2311yescharacteristic
452C2×SD16×C73C2311yescharacteristic
453C2×SD16×C73C2311yescharacteristic
454C2×SD16×C73C2311yescharacteristic
455C2×SD16×C73C2311yescharacteristic
456C2×D8×C73C2311yescharacteristic
457C4⋊Q8×C73C2311yescharacteristic
458C4⋊Q8×C73C2311yescharacteristic
459C4⋊Q8×C73C2311yescharacteristic
460#126×C73—21no—
461#124×C73—21no—
462#124×C73C2311yescharacteristic
463#124×C73C2311yescharacteristic
464#124×C73C2311yescharacteristic
465#123×C73—21no—
466#123×C73—21no—
467#123×C73—21no—
468C22⋊Q8×C73—21no—
469C22⋊Q8×C73—21no—
470C22⋊Q8×C73—21no—
471C22⋊Q8×C73C2311yescharacteristic
472#121×C73C2311yescharacteristic
473C4×Q8×C73C2311yescharacteristic
474C4×D4×C73C2311yescharacteristic
475#117×C73C2311yescharacteristic
476C4⋊C8×C73C2311yescharacteristic
477C4⋊C8×C73C2311yescharacteristic
478#103×C73C2311yescharacteristic
479#103×C73C2311yescharacteristic
480#103×C73C2311yescharacteristic
481#103×C73C2311yescharacteristic
482#103×C73C2311yescharacteristic
483#103×C73C2311yescharacteristic
484#102×C73C2311yescharacteristic
485#102×C73C2311yescharacteristic
486C22⋊C8×C73C2311yescharacteristic
487C22⋊C8×C73C2311yescharacteristic
488#97×C73C2311yescharacteristic
489C4×C8×C73C2311yescharacteristic
490C23×D73—21no—
491C23×D73—21no—
492C23×D73C2×D411yescharacteristic
493#11924029—41no—
494#11924029—41no—
495#11924028—41no—
496#11924028—41no—
497#11924028—44no—
498#11924027—41no—
499#11924027—41no—
500#11924027—44no—
501C2×Dic146—21no—
502C2×Dic146—21no—
503C2×Dic146—21no—
504C2×Dic146—21no—
505C2×Dic146—21no—
506C2×Dic146—21no—
507C2×Dic146—21no—
508C2×Dic146—21no—
509C2×Dic146—21no—
510C2×Dic146—21no—
511C2×Dic146—41no—
512C2×Dic146—41no—
513C2×Dic146—44no—
514C2×Dic146C2411yescharacteristic
515C2×Dic146C2411yescharacteristic
516C2×Dic146C2411yescharacteristic
517C2×Dic146C2411yescharacteristic
518Q8×D73—22no—
519Q8×D73—22no—
520Q8×D73—22no—
521Q8×D73—22no—
522Q8×D73—22no—
523Q8×D73—22no—
524Q8×D73—22no—
525Q8×D73—22no—
526Q8×D73—41no—
527Q8×D73—41no—
528Q8×D73—41no—
529Q8×D73—41no—
530Q8×D73—44no—
531Q8×D73—44no—
532Q8×D73—82no—
533C2×D292—21no—
534C2×D292—21no—
535C2×D292C2411yescharacteristic
536C2×D292C2411yescharacteristic
537C2×C22⋊D73—21no—
538C2×C22⋊D73—21no—
539C2×C22⋊D73—21no—
540C2×C22⋊D73—21no—
541C2×C22⋊D73—21no—
542C2×C22⋊D73—21no—
543D4×D73—22no—
544D4×D73—22no—
545D4×D73—22no—
546D4×D73—22no—
547D4×D73—44no—
548D4×D73—82no—
549C22×Dic73—21no—
550C22×Dic73—21no—
551C22×Dic73—21no—
552C22×Dic73C2×D411yescharacteristic
553C2×C4×D73—22no—
554C2×C4×D73—22no—
555C2×C4×D73—21no—
556C2×C4×D73—21no—
557C2×C4×D73—21no—
558C2×C4×D73—21no—
559C2×C4×D73—21no—
560C2×C4×D73—21no—
561C2×C4×D73—21no—
562C2×C4×D73—21no—
563C2×C4×D73—21no—
564C2×C4×D73—21no—
565C2×C4×D73—21no—
566C2×C4×D73—21no—
567C2×C4×D73—44no—
568C2×C4×D73—44no—
569C2×C4×D73—82no—
570C2×C4×D73C2×D411yescharacteristic
571C2×C4×D73C2×D411yescharacteristic
572C2×C4×D73C2×D411yescharacteristic
573C2×C4×D73C2×D411yescharacteristic
574C2×C4×D73C2×D411yescharacteristic
575C2×C4×D73C2×D411yescharacteristic
576C2×C4×D73C2411yescharacteristic
577C2×C4×D73C2411yescharacteristic
578Dic292—41no—
579Dic292—41no—
580Dic292—41no—
581#11924018—41no—
582#11924018—41no—
583#11924018—41no—
584#11924018—41no—
585#11924018—41no—
586#11924018—41no—
587#11924017—41no—
588#11924017—41no—
589#11924017—41no—
590#11924017—41no—
591#11924016—41no—
592#11924016—41no—
593#11924016—41no—
594#11924016—41no—
595#11924015—41no—
596#11924015—41no—
597#11924015—41no—
598#11924015—41no—
599D584—41no—
600#11924013—41no—
601#11924013—41no—
602C2×#10596831C2411yescharacteristic
603C2×#10596831C2411yescharacteristic
604C2×#10596831C2411yescharacteristic
605C2×#10596831C2411yescharacteristic
606C8×D73—22no—
607C8×D73—22no—
608C8×D73—22no—
609C8×D73—22no—
610C4⋊Dic73—21no—
611C4⋊Dic73—21no—
612C4⋊Dic73—21no—
613C4⋊Dic73—21no—
614C4⋊Dic73—21no—
615C4⋊Dic73—21no—
616C4⋊Dic73—21no—
617C4⋊Dic73C2×D411yescharacteristic
618C4⋊Dic73C2×D411yescharacteristic
619C4⋊Dic73C2411yescharacteristic
620C4⋊Dic73C2411yescharacteristic
621#11924007—21no—
622#11924007—21no—
623#11924007—21no—
624#11924007—21no—
625#11924007—21no—
626#11924007—21no—
627#11924007—21no—
628#11924007—21no—
629#11924007—21no—
630#11924007—21no—
631#11924007—21no—
632#11924007—21no—
633#11924007—21no—
634#11924007—21no—
635#11924007—21no—
636#11924007—21no—
637#11924007C2×D411yescharacteristic
638#11924007C2×D411yescharacteristic
639#11924007C2×D411yescharacteristic
640#11924007C2×D411yescharacteristic
641C22⋊Dic73—21no—
642C22⋊Dic73—21no—
643C22⋊Dic73—21no—
644C22⋊Dic73—21no—
645C22⋊Dic73—21no—
646C22⋊Dic73—21no—
647C22⋊Dic73—21no—
648C22⋊Dic73—21no—
649C22⋊Dic73—21no—
650C22⋊Dic73C2×D411yescharacteristic
651C22⋊Dic73C2×D411yescharacteristic
652#11924005—21no—
653#11924005—21no—
654#11924005—21no—
655#11924005—21no—
656#11924005—21no—
657#11924005—21no—
658#11924005—21no—
659#11924005—21no—
660#11924005—21no—
661#11924005—21no—
662#11924005—21no—
663#11924005—21no—
664#11924005—21no—
665#11924005—21no—
666#11924005—21no—
667#11924005—21no—
668#11924005—21no—
669#11924005—21no—
670#11924005C2×D411yescharacteristic
671#11924005C2×D411yescharacteristic
672#11924005C2×D411yescharacteristic
673#11924005C2×D411yescharacteristic
674C4×Dic73—21no—
675C4×Dic73—21no—
676C4×Dic73—21no—
677C4×Dic73C2×D411yescharacteristic
678C4×Dic73C2×D411yescharacteristic
679C4×Dic73C2×D411yescharacteristic
680C4×Dic73C2×D411yescharacteristic
681C4×Dic73C2411yescharacteristic
682C4×Dic73C2411yescharacteristic
683#41×C73—41no—
684#41×C73—41no—
685C2×Q8×C73—21no—
686C2×Q8×C73—21no—
687C2×Q8×C73—41no—
688C2×Q8×C73—41no—
689C2×Q8×C73C2411yescharacteristic
690C2×Q8×C73C2411yescharacteristic
691C2×Q8×C73C2411yescharacteristic
692C2×Q8×C73C2411yescharacteristic
693C2×D4×C73—21no—
694C2×D4×C73—21no—
695C2×D4×C73C2411yescharacteristic
696C2×D4×C73C2411yescharacteristic
697C22×C4×C73—21no—
698C22×C4×C73—21no—
699C22×C4×C73—21no—
700C22×C4×C73C2411yescharacteristic
701Q16×C73—41no—
702Q16×C73—41no—
703Q16×C73—41no—
704SD16×C73—41no—
705SD16×C73—41no—
706SD16×C73—41no—
707SD16×C73—41no—
708D8×C73—41no—
709C2×C8×C73C2411yescharacteristic
710C2×C8×C73C2411yescharacteristic
711C2×C8×C73C2411yescharacteristic
712C2×C8×C73C2411yescharacteristic
713C4⋊C4×C73—21no—
714C4⋊C4×C73—21no—
715C4⋊C4×C73—21no—
716C4⋊C4×C73—21no—
717C4⋊C4×C73—21no—
718C4⋊C4×C73—21no—
719C4⋊C4×C73—21no—
720C4⋊C4×C73C2×D411yescharacteristic
721C4⋊C4×C73C2×D411yescharacteristic
722C4⋊C4×C73C2411yescharacteristic
723C4⋊C4×C73C2411yescharacteristic
724C22⋊C4×C73—21no—
725C22⋊C4×C73—21no—
726C22⋊C4×C73—21no—
727C22⋊C4×C73—21no—
728C22⋊C4×C73—21no—
729C22⋊C4×C73—21no—
730C22⋊C4×C73—21no—
731C22⋊C4×C73—21no—
732C22⋊C4×C73—21no—
733C22⋊C4×C73C2×D411yescharacteristic
734C22⋊C4×C73C2×D411yescharacteristic
735C42×C73—21no—
736C42×C73C2411yescharacteristic
737C42×C73C2411yescharacteristic
738C23×C73—21no—
739C23×C73—21no—
740C23×C73C22×D411yescharacteristic
741C22×D73—22no—
742C22×D73—22no—
743C22×D73—22no—
744C22×D73—21no—
745C22×D73—21no—
746C22×D73—42no—
747C22×D73—42no—
748C22×D73—42no—
749C22×D73—42no—
750C22×D73—42no—
751C22×D73—42no—
752C22×D73C22×D411yescharacteristic
753C22×D73C22×D411yescharacteristic
754Q8×C73—21no—
755Q8×C73—21no—
756Q8×C73—21no—
757Q8×C73—21no—
758Q8×C73—21no—
759Q8×C73—21no—
760Q8×C73—21no—
761Q8×C73—21no—
762Q8×C73—42no—
763Q8×C73—81no—
764D4×C73—21no—
765D4×C73—21no—
766D4×C73—21no—
767D4×C73—21no—
768D4×C73—42no—
769D4×C73—81no—
770C2×C4×C73—21no—
771C2×C4×C73—21no—
772C2×C4×C73—21no—
773C2×C4×C73—21no—
774C2×C4×C73—21no—
775C2×C4×C73—21no—
776C2×C4×C73—21no—
777C2×C4×C73—21no—
778C2×C4×C73—42no—
779C2×C4×C73—42no—
780C2×C4×C73—81no—
781C2×C4×C73C22×D411yescharacteristic
782C2×C4×C73C22×D411yescharacteristic
783C2×C4×C73C22×D411yescharacteristic
784C2×C4×C73C22×D411yescharacteristic
785C2×C4×C73C22×D411yescharacteristic
786C2×C4×C73C2511yescharacteristic
787C22⋊D73—42no—
788C22⋊D73—42no—
789C22⋊D73—42no—
790C22⋊D73—42no—
791C22⋊D73—81no—
792C22⋊D73—81no—
793C2×Dic73—22no—
794C2×Dic73—21no—
795C2×Dic73—21no—
796C2×Dic73—21no—
797C2×Dic73—21no—
798C2×Dic73—21no—
799C2×Dic73—21no—
800C2×Dic73—42no—
801C2×Dic73—42no—
802C2×Dic73—81no—
803C2×Dic73C22×D411yescharacteristic
804C2×Dic73C22×D411yescharacteristic
805C2×Dic73C22×D411yescharacteristic
806C2×Dic73C22×D411yescharacteristic
807C2×Dic73C22×D411yescharacteristic
808C2×Dic73C22×D411yescharacteristic
809D292—21no—
810D292—21no—
811D292—21no—
812D292—21no—
813D292—42no—
814D292—81no—
815C4×D73—22no—
816C4×D73—22no—
817C4×D73—22no—
818C4×D73—22no—
819C4×D73—22no—
820C4×D73—21no—
821C4×D73—21no—
822C4×D73—22no—
823C4×D73—42no—
824C4×D73—42no—
825C4×D73—42no—
826C4×D73—42no—
827C4×D73—42no—
828C4×D73—42no—
829C4×D73—42no—
830C4×D73—42no—
831C4×D73—42no—
832C4×D73—42no—
833C4×D73—81no—
834C4×D73—81no—
835C4×D73H(5,𝔽2)12yes—
836C4×D73H(5,𝔽2)12yes—
837Dic146—21no—
838Dic146—21no—
839Dic146—21no—
840Dic146—21no—
841Dic146—21no—
842Dic146—21no—
843Dic146—21no—
844Dic146—21no—
845Dic146—42no—
846Dic146—42no—
847Dic146—42no—
848Dic146—42no—
849Dic146—42no—
850Dic146—42no—
851Dic146—42no—
852Dic146—81no—
853Dic146—81no—
854Dic146—81no—
855C8×C73—21no—
856C8×C73—21no—
857C8×C73—21no—
858C8×C73—21no—
859#10596831—21no—
860#10596831—21no—
861#10596831—21no—
862#10596831—21no—
863C22×C73—21no—
864C22×C73—21no—
865C22×C73—21no—
866C22×C73—41no—
867C22×C73—41no—
868C22×C73—41no—
869C22×C73—41no—
870C22×C73—41no—
871C22×C73—41no—
872C22×C73C23×D411yescharacteristic
873C2×D73—21no—
874C2×D73—21no—
875C2×D73—21no—
876C2×D73—44no—
877C2×D73—41no—
878C2×D73—41no—
879C2×D73—41no—
880C2×D73—41no—
881C2×D73—41no—
882C2×D73—41no—
883C2×D73—84no—
884C2×D73—84no—
885C2×D73#53512yes—
886C2×D73#57712yes—
887C2×D73#57812yes—
888C4×C73—21no—
889C4×C73—21no—
890C4×C73—21no—
891C4×C73—21no—
892C4×C73—21no—
893C4×C73—41no—
894C4×C73—41no—
895C4×C73—41no—
896C4×C73—41no—
897C4×C73—41no—
898C4×C73—41no—
899C4×C73C2×H(5,𝔽2)11yescharacteristic
900C4×C73C2×H(5,𝔽2)11yescharacteristic
901Dic73—21no—
902Dic73—21no—
903Dic73—21no—
904Dic73—21no—
905Dic73—21no—
906Dic73—41no—
907Dic73—41no—
908Dic73—41no—
909Dic73—41no—
910Dic73—41no—
911Dic73—41no—
912Dic73#53512yes—
913C2×#3225—731nomaximal, Sylow
914C2×C73—41no—
915C2×C73—81no—
916C2×C73—81no—
917C2×C73C2×#53511yescharacteristic
918C2×C73C2×#57711yescharacteristic
919C2×C73C2×#57811yescharacteristic
920D73—41no—
921D73—81no—
922D73—81no—
923D73#322514yesdirect product factor
924C2×#542—731no—
925C2×#536—731no—
926#3225—731no—
927#3225—731no—
928#3225—731no—
929#3225—731no—
930#3225—731no—
931#3225—731no—
932#3225—731no—
933#3225—731no—
934#3225—731no—
935#3225—731no—
936#3225—731no—
937#3225—731no—
938#3225—731no—
939#3225—731no—
940#3225—731no—
941#3225D7311yescharacteristic, direct product factor
942C2×#497—731no—
943C2×#495—731no—
944C2×#489—731no—
945C2×#487—731no—
946C2×#464—731no—
947C2×#462—731no—
948C2×#463—731no—
949C2×#461—731no—
950C2×#452—731no—
951C2×#449—731no—
952C2×#451—731no—
953C2×#448—731no—
954C2×#433—731no—
955C73C2×#322511yescharacteristic, complemented, Sylow
956C22×#41—731no—
957C23×Q8—731no—
958C22×Q16—731no—
959C22×Q16—731no—
960C22×Q16—731no—
961C22×SD16—731no—
962C22×SD16—731no—
963C22×SD16—731no—
964C22×SD16—731no—
965C22×D8—731no—
966#542—731no—
967#542—731no—
968#542—731no—
969#542—731no—
970#542—731no—
971#542—731no—
972#542—731no—
973#542—1461no—
974#542—1461no—
975#542—1461no—
976#542—1461no—
977#542C2×D7311yescharacteristic, complemented
978#536—731no—
979#536—731no—
980#536—731no—
981#536—731no—
982#536—731no—
983#536—731no—
984#536—731no—
985#536—1461no—
986#536—1461no—
987#536—1461no—
988#536—1461no—
989#536C2×D7311yescharacteristic, complemented
990C2×C4⋊Q8—731no—
991C2×C4⋊Q8—731no—
992C2×C4⋊Q8—731no—
993C2×#126—1461no—
994C2×#124—731no—
995C2×#124—731no—
996C2×#124—731no—
997C2×#124—1461no—
998C2×#123—1461no—
999C2×#123—1461no—
1000C2×#123—1461no—
1001C2×C22⋊Q8—731no—
1002C2×C22⋊Q8—1461no—
1003C2×C22⋊Q8—1461no—
1004C2×C22⋊Q8—1461no—
1005C2×#121—731no—
1006C2×C4×Q8—731no—
1007C2×C4×D4—731no—
1008C2×#117—731no—
1009#497—731no—
1010#497—731no—
1011#497—731no—
1012#497—731no—
1013#497—731no—
1014#497—731no—
1015#497—731no—
1016#497C2×D7311yescharacteristic, complemented
1017#495—731no—
1018#495—731no—
1019#495—731no—
1020#495—731no—
1021#495—731no—
1022#495—731no—
1023#495—731no—
1024#495C2×D7311yescharacteristic, complemented
1025#489—731no—
1026#489—731no—
1027#489—731no—
1028#489—731no—
1029#489—731no—
1030#489—731no—
1031#489—731no—
1032#489C2×D7311yescharacteristic, complemented
1033#487—731no—
1034#487—731no—
1035#487—731no—
1036#487—731no—
1037#487—731no—
1038#487—731no—
1039#487—731no—
1040#487C2×D7311yescharacteristic, complemented
1041#464—731no—
1042#464—731no—
1043#464—731no—
1044#464—731no—
1045#464—731no—
1046#464—731no—
1047#464—731no—
1048#464C2×D7311yescharacteristic, complemented
1049#463—731no—
1050#463—731no—
1051#463—731no—
1052#463—731no—
1053#463—731no—
1054#463—731no—
1055#463—731no—
1056#463C2×D7311yescharacteristic, complemented
1057#462—731no—
1058#462—731no—
1059#462—731no—
1060#462—731no—
1061#462—731no—
1062#462—731no—
1063#462—731no—
1064#462C2×D7311yescharacteristic, complemented
1065#461—731no—
1066#461—731no—
1067#461—731no—
1068#461—731no—
1069#461—731no—
1070#461—731no—
1071#461—731no—
1072#461C2×D7311yescharacteristic, complemented
1073#452—731no—
1074#452—731no—
1075#452—731no—
1076#452—731no—
1077#452—731no—
1078#452—731no—
1079#452—731no—
1080#452C2×D7311yescharacteristic, complemented
1081#451—731no—
1082#451—731no—
1083#451—731no—
1084#451—731no—
1085#451—731no—
1086#451—731no—
1087#451—731no—
1088#451C2×D7311yescharacteristic, complemented
1089#449—731no—
1090#449—731no—
1091#449—731no—
1092#449—731no—
1093#449—731no—
1094#449—731no—
1095#449—731no—
1096#449C2×D7311yescharacteristic
1097#448—731no—
1098#448—731no—
1099#448—731no—
1100#448—731no—
1101#448—731no—
1102#448—731no—
1103#448—731no—
1104#448C2×D7311yescharacteristic, complemented
1105#433—731no—
1106#433—731no—
1107#433—731no—
1108#433—731no—
1109#433—731no—
1110#433—731no—
1111#433—731no—
1112#433C2×D7311yescharacteristic, complemented
1113C2×C4⋊C8—731no—
1114C2×C4⋊C8—731no—
1115C2×#103—731no—
1116C2×#103—731no—
1117C2×#103—731no—
1118C2×#103—731no—
1119C2×#103—731no—
1120C2×#103—731no—
1121C2×#102—731no—
1122C2×#102—731no—
1123C2×C22⋊C8—731no—
1124C2×C22⋊C8—731no—
1125C2×#97—731no—
1126C2×C4×C8—731no—
1127C2×#41—2922no—
1128C2×#41—2922no—
1129C2×#41—731no—
1130C2×#41—731no—
1131C2×#41—731no—
1132C2×#41—1461no—
1133C2×#41—1461no—
1134C2×#41C22×D7311yescharacteristic
1135C22×Q8—2922no—
1136C22×Q8—2922no—
1137C22×Q8—731no—
1138C22×Q8—731no—
1139C22×Q8—731no—
1140C22×Q8—731no—
1141C22×Q8—731no—
1142C22×Q8—731no—
1143C22×Q8—731no—
1144C22×Q8—1461no—
1145C22×Q8—1461no—
1146C22×Q8—1461no—
1147C22×Q8—1461no—
1148C22×Q8C22×D7311yescharacteristic
1149C22×D4—731no—
1150C22×D4—731no—
1151C22×D4—1461no—
1152C22×D4—1461no—
1153C23×C4—731no—
1154C23×C4—1461no—
1155C23×C4—1461no—
1156C23×C4—1461no—
1157C2×Q16—2922no—
1158C2×Q16—2922no—
1159C2×Q16—2922no—
1160C2×Q16—731no—
1161C2×Q16—731no—
1162C2×Q16—731no—
1163C2×Q16—731no—
1164C2×Q16—731no—
1165C2×Q16—731no—
1166C2×Q16—731no—
1167C2×Q16—731no—
1168C2×Q16—731no—
1169C2×Q16C22×D7311yescharacteristic
1170C2×Q16C22×D7311yescharacteristic
1171C2×Q16C22×D7311yescharacteristic
1172C2×SD16—2922no—
1173C2×SD16—2922no—
1174C2×SD16—2922no—
1175C2×SD16—2922no—
1176C2×SD16—731no—
1177C2×SD16—731no—
1178C2×SD16—731no—
1179C2×SD16—731no—
1180C2×SD16—731no—
1181C2×SD16—731no—
1182C2×SD16—731no—
1183C2×SD16—731no—
1184C2×SD16—731no—
1185C2×SD16—731no—
1186C2×SD16—731no—
1187C2×SD16—731no—
1188C2×SD16C22×D7311yescharacteristic
1189C2×SD16C22×D7311yescharacteristic
1190C2×SD16C22×D7311yescharacteristic
1191C2×SD16C22×D7311yescharacteristic
1192C2×D8—2922no—
1193C2×D8—731no—
1194C2×D8—731no—
1195C2×D8—731no—
1196C2×D8C22×D7311yescharacteristic
1197C22×C8—731no—
1198C22×C8—731no—
1199C22×C8—731no—
1200C22×C8—731no—
1201C4⋊Q8—731no—
1202C4⋊Q8—731no—
1203C4⋊Q8—731no—
1204C4⋊Q8—731no—
1205C4⋊Q8—731no—
1206C4⋊Q8—731no—
1207C4⋊Q8—731no—
1208C4⋊Q8—731no—
1209C4⋊Q8—731no—
1210C4⋊Q8—1461no—
1211C4⋊Q8—1461no—
1212C4⋊Q8—1461no—
1213C4⋊Q8—1461no—
1214C4⋊Q8—1461no—
1215C4⋊Q8—1461no—
1216C4⋊Q8C22×D7311yescharacteristic
1217C4⋊Q8C22×D7311yescharacteristic
1218C4⋊Q8C22×D7311yescharacteristic
1219#126—21no—
1220#126—1461no—
1221#126—1461no—
1222#126—1461no—
1223#126—1461no—
1224#126—1461no—
1225#126—1461no—
1226#126—1461no—
1227#124—21no—
1228#124—731no—
1229#124—731no—
1230#124—731no—
1231#124—731no—
1232#124—731no—
1233#124—731no—
1234#124—731no—
1235#124—731no—
1236#124—731no—
1237#124—1461no—
1238#124—1461no—
1239#124—1461no—
1240#124—1461no—
1241#124—1461no—
1242#124—1461no—
1243#124—1461no—
1244#124—1461no—
1245#124—1461no—
1246#124—1461no—
1247#124—1461no—
1248#124—1461no—
1249#124—1461no—
1250#124C22×D7311yescharacteristic
1251#124C22×D7311yescharacteristic
1252#124C22×D7311yescharacteristic
1253#123—21no—
1254#123—21no—
1255#123—21no—
1256#123—1461no—
1257#123—1461no—
1258#123—1461no—
1259#123—1461no—
1260#123—1461no—
1261#123—1461no—
1262#123—1461no—
1263#123—1461no—
1264#123—1461no—
1265#123—1461no—
1266#123—1461no—
1267#123—1461no—
1268#123—1461no—
1269#123—1461no—
1270#123—1461no—
1271#123—1461no—
1272#123—1461no—
1273#123—1461no—
1274#123—1461no—
1275#123—1461no—
1276#123—1461no—
1277C22⋊Q8—21no—
1278C22⋊Q8—21no—
1279C22⋊Q8—21no—
1280C22⋊Q8—731no—
1281C22⋊Q8—731no—
1282C22⋊Q8—731no—
1283C22⋊Q8—1461no—
1284C22⋊Q8—1461no—
1285C22⋊Q8—1461no—
1286C22⋊Q8—1461no—
1287C22⋊Q8—1461no—
1288C22⋊Q8—1461no—
1289C22⋊Q8—1461no—
1290C22⋊Q8—1461no—
1291C22⋊Q8—1461no—
1292C22⋊Q8—1461no—
1293C22⋊Q8—1461no—
1294C22⋊Q8—1461no—
1295C22⋊Q8—1461no—
1296C22⋊Q8—1461no—
1297C22⋊Q8—1461no—
1298C22⋊Q8—1461no—
1299C22⋊Q8—1461no—
1300C22⋊Q8—1461no—
1301C22⋊Q8—1461no—
1302C22⋊Q8—1461no—
1303C22⋊Q8—1461no—
1304C22⋊Q8—1461no—
1305C22⋊Q8—1461no—
1306C22⋊Q8C22×D7311yescharacteristic
1307#121—731no—
1308#121—731no—
1309#121—731no—
1310#121—1461no—
1311#121—1461no—
1312#121C22×D7311yescharacteristic
1313C4×Q8—731no—
1314C4×Q8—731no—
1315C4×Q8—731no—
1316C4×Q8—1461no—
1317C4×Q8—1461no—
1318C4×Q8C22×D7311yescharacteristic
1319C4×D4—731no—
1320C4×D4—731no—
1321C4×D4—731no—
1322C4×D4—1461no—
1323C4×D4—1461no—
1324C4×D4C22×D7311yescharacteristic
1325#117—731no—
1326#117—731no—
1327#117—731no—
1328#117—731no—
1329#117—731no—
1330#117—731no—
1331#117—731no—
1332#117C22×D7311yescharacteristic
1333C2×C4⋊C4—731no—
1334C2×C4⋊C4—731no—
1335C2×C4⋊C4—731no—
1336C2×C4⋊C4—731no—
1337C2×C4⋊C4—1461no—
1338C2×C4⋊C4—1461no—
1339C2×C4⋊C4—1461no—
1340C2×C4⋊C4—1461no—
1341C2×C4⋊C4—1461no—
1342C2×C4⋊C4—1461no—
1343C2×C4⋊C4—1461no—
1344C2×C22⋊C4—731no—
1345C2×C22⋊C4—731no—
1346C2×C22⋊C4—1461no—
1347C2×C22⋊C4—1461no—
1348C2×C22⋊C4—1461no—
1349C2×C22⋊C4—1461no—
1350C2×C22⋊C4—1461no—
1351C2×C22⋊C4—1461no—
1352C2×C22⋊C4—1461no—
1353C2×C22⋊C4—1461no—
1354C2×C22⋊C4—1461no—
1355C2×C42—731no—
1356C2×C42—731no—
1357C2×C42—1461no—
1358C4⋊C8—731no—
1359C4⋊C8—731no—
1360C4⋊C8—731no—
1361C4⋊C8—731no—
1362C4⋊C8—731no—
1363C4⋊C8—731no—
1364C4⋊C8C22×D7311yescharacteristic
1365C4⋊C8C22×D7311yescharacteristic
1366#103—731no—
1367#103—731no—
1368#103—731no—
1369#103—731no—
1370#103—731no—
1371#103—731no—
1372#103—731no—
1373#103—731no—
1374#103—731no—
1375#103—731no—
1376#103—731no—
1377#103—731no—
1378#103—731no—
1379#103—731no—
1380#103—731no—
1381#103—731no—
1382#103—731no—
1383#103—731no—
1384#103C22×D7311yescharacteristic
1385#103C22×D7311yescharacteristic
1386#103C22×D7311yescharacteristic
1387#103C22×D7311yescharacteristic
1388#103C22×D7311yescharacteristic
1389#103C22×D7311yescharacteristic
1390#102—731no—
1391#102—731no—
1392#102—731no—
1393#102—731no—
1394#102—731no—
1395#102—731no—
1396#102C22×D7311yescharacteristic
1397#102C22×D7311yescharacteristic
1398C22⋊C8—731no—
1399C22⋊C8—731no—
1400C22⋊C8—731no—
1401C22⋊C8—731no—
1402C22⋊C8—731no—
1403C22⋊C8—731no—
1404C22⋊C8C22×D7311yescharacteristic
1405C22⋊C8C22×D7311yescharacteristic
1406#97—731no—
1407#97—731no—
1408#97—731no—
1409#97C22×D7311yescharacteristic
1410C4×C8—731no—
1411C4×C8—731no—
1412C4×C8—731no—
1413C4×C8C22×D7311yescharacteristic
1414C24—731no—
1415C24—1461no—
1416C24—1461no—
1417#41—41no—
1418#41—41no—
1419#41—2921no—
1420#41—2921no—
1421#41—2924no—
1422#41—2921no—
1423#41—2921no—
1424#41—2924no—
1425#41—2921no—
1426#41—2921no—
1427C2×Q8—21no—
1428C2×Q8—21no—
1429C2×Q8—41no—
1430C2×Q8—41no—
1431C2×Q8—2921no—
1432C2×Q8—2921no—
1433C2×Q8—2924no—
1434C2×Q8—2921no—
1435C2×Q8—2921no—
1436C2×Q8—2921no—
1437C2×Q8—2921no—
1438C2×Q8—2924no—
1439C2×Q8—2924no—
1440C2×Q8—5842no—
1441C2×Q8—731no—
1442C2×Q8—731no—
1443C2×Q8—731no—
1444C2×Q8—731no—
1445C2×Q8—1461no—
1446C2×Q8—1461no—
1447C2×Q8—1461no—
1448C2×Q8—1461no—
1449C2×Q8—1461no—
1450C2×Q8—1461no—
1451C2×Q8—1461no—
1452C2×Q8—1461no—
1453C2×Q8—1462no—
1454C2×Q8—1462no—
1455C2×Q8—1462no—
1456C2×Q8—1462no—
1457C2×Q8—1462no—
1458C2×Q8—1462no—
1459C2×Q8—1462no—
1460C2×Q8—1462no—
1461C2×Q8—1461no—
1462C2×Q8—1461no—
1463C2×Q8C23×D7311yescharacteristic
1464C2×Q8C23×D7311yescharacteristic
1465C2×Q8C23×D7311yescharacteristic
1466C2×Q8C23×D7311yescharacteristic
1467C2×D4—21no—
1468C2×D4—21no—
1469C2×D4—2924no—
1470C2×D4—5842no—
1471C2×D4—731no—
1472C2×D4—731no—
1473C2×D4—1461no—
1474C2×D4—1461no—
1475C2×D4—1462no—
1476C2×D4—1462no—
1477C2×D4—1462no—
1478C2×D4—1462no—
1479C2×D4—1461no—
1480C2×D4—1461no—
1481C2×D4—1461no—
1482C2×D4—1461no—
1483C2×D4—1461no—
1484C2×D4—1461no—
1485C2×D4C23×D7311yescharacteristic
1486C2×D4C23×D7311yescharacteristic
1487C22×C4—21no—
1488C22×C4—21no—
1489C22×C4—21no—
1490C22×C4—2924no—
1491C22×C4—2924no—
1492C22×C4—5842no—
1493C22×C4—731no—
1494C22×C4—731no—
1495C22×C4—731no—
1496C22×C4—731no—
1497C22×C4—731no—
1498C22×C4—731no—
1499C22×C4—731no—
1500C22×C4—731no—
1501C22×C4—731no—
1502C22×C4—1461no—
1503C22×C4—1461no—
1504C22×C4—1461no—
1505C22×C4—1461no—
1506C22×C4—1461no—
1507C22×C4—1461no—
1508C22×C4—1461no—
1509C22×C4—1461no—
1510C22×C4—1461no—
1511C22×C4—1461no—
1512C22×C4—1462no—
1513C22×C4—1462no—
1514C22×C4—1461no—
1515C22×C4—1461no—
1516C22×C4—1461no—
1517C22×C4—1461no—
1518C22×C4—1461no—
1519C22×C4C23×D7311yescharacteristic
1520Q16—41no—
1521Q16—41no—
1522Q16—41no—
1523Q16—2921no—
1524Q16—2921no—
1525Q16—2921no—
1526Q16—2921no—
1527Q16—2921no—
1528Q16—2921no—
1529Q16—2921no—
1530Q16—2921no—
1531Q16—2921no—
1532SD16—41no—
1533SD16—41no—
1534SD16—41no—
1535SD16—41no—
1536SD16—2921no—
1537SD16—2921no—
1538SD16—2921no—
1539SD16—2921no—
1540SD16—2921no—
1541SD16—2921no—
1542SD16—2921no—
1543SD16—2921no—
1544SD16—2921no—
1545SD16—2921no—
1546SD16—2921no—
1547SD16—2921no—
1548D8—41no—
1549D8—2921no—
1550D8—2921no—
1551D8—2921no—
1552C2×C8—731no—
1553C2×C8—731no—
1554C2×C8—731no—
1555C2×C8—731no—
1556C2×C8—1462no—
1557C2×C8—1462no—
1558C2×C8—1462no—
1559C2×C8—1462no—
1560C2×C8C23×D7311yescharacteristic
1561C2×C8C23×D7311yescharacteristic
1562C2×C8C23×D7311yescharacteristic
1563C2×C8C23×D7311yescharacteristic
1564C4⋊C4—21no—
1565C4⋊C4—21no—
1566C4⋊C4—21no—
1567C4⋊C4—21no—
1568C4⋊C4—21no—
1569C4⋊C4—21no—
1570C4⋊C4—21no—
1571C4⋊C4—731no—
1572C4⋊C4—731no—
1573C4⋊C4—731no—
1574C4⋊C4—731no—
1575C4⋊C4—731no—
1576C4⋊C4—731no—
1577C4⋊C4—731no—
1578C4⋊C4—731no—
1579C4⋊C4—1461no—
1580C4⋊C4—1461no—
1581C4⋊C4—1461no—
1582C4⋊C4—1461no—
1583C4⋊C4—1461no—
1584C4⋊C4—1461no—
1585C4⋊C4—1461no—
1586C4⋊C4—1461no—
1587C4⋊C4—1461no—
1588C4⋊C4—1461no—
1589C4⋊C4—1461no—
1590C4⋊C4—1461no—
1591C4⋊C4—1461no—
1592C4⋊C4—1461no—
1593C4⋊C4—1461no—
1594C4⋊C4—1461no—
1595C4⋊C4—1461no—
1596C4⋊C4—1461no—
1597C4⋊C4—1461no—
1598C4⋊C4—1461no—
1599C4⋊C4—1461no—
1600C4⋊C4—1461no—
1601C4⋊C4—1461no—
1602C4⋊C4D4×D7311yescharacteristic
1603C4⋊C4D4×D7311yescharacteristic
1604C4⋊C4C23×D7311yescharacteristic
1605C4⋊C4C23×D7311yescharacteristic
1606C22⋊C4—21no—
1607C22⋊C4—21no—
1608C22⋊C4—21no—
1609C22⋊C4—21no—
1610C22⋊C4—21no—
1611C22⋊C4—21no—
1612C22⋊C4—21no—
1613C22⋊C4—21no—
1614C22⋊C4—21no—
1615C22⋊C4—731no—
1616C22⋊C4—731no—
1617C22⋊C4—731no—
1618C22⋊C4—731no—
1619C22⋊C4—731no—
1620C22⋊C4—731no—
1621C22⋊C4—1461no—
1622C22⋊C4—1461no—
1623C22⋊C4—1461no—
1624C22⋊C4—1461no—
1625C22⋊C4—1461no—
1626C22⋊C4—1461no—
1627C22⋊C4—1461no—
1628C22⋊C4—1461no—
1629C22⋊C4—1461no—
1630C22⋊C4—1461no—
1631C22⋊C4—1461no—
1632C22⋊C4—1461no—
1633C22⋊C4—1461no—
1634C22⋊C4—1461no—
1635C22⋊C4—1461no—
1636C22⋊C4—1461no—
1637C22⋊C4—1461no—
1638C22⋊C4—1461no—
1639C22⋊C4—1461no—
1640C22⋊C4—1461no—
1641C22⋊C4—1461no—
1642C22⋊C4—1461no—
1643C22⋊C4—1461no—
1644C22⋊C4—1461no—
1645C22⋊C4—1461no—
1646C22⋊C4—1461no—
1647C22⋊C4—1461no—
1648C22⋊C4D4×D7311yescharacteristic
1649C22⋊C4D4×D7311yescharacteristic
1650C42—21no—
1651C42—731no—
1652C42—731no—
1653C42—731no—
1654C42—731no—
1655C42—731no—
1656C42—731no—
1657C42—1461no—
1658C42—1461no—
1659C42—1461no—
1660C42C23×D7311yescharacteristic
1661C42C23×D7311yescharacteristic
1662C23—21no—
1663C23—21no—
1664C23—2922no—
1665C23—2922no—
1666C23—2922no—
1667C23—2922no—
1668C23—2922no—
1669C23—2922no—
1670C23—731no—
1671C23—731no—
1672C23—1462no—
1673C23—1462no—
1674C23—1462no—
1675C23—1461no—
1676C23—1461no—
1677C23C2×D4×D7311yescharacteristic
1678Q8—21no—
1679Q8—21no—
1680Q8—21no—
1681Q8—21no—
1682Q8—21no—
1683Q8—21no—
1684Q8—21no—
1685Q8—21no—
1686Q8—42no—
1687Q8—81no—
1688Q8—2922no—
1689Q8—2922no—
1690Q8—2922no—
1691Q8—2922no—
1692Q8—2922no—
1693Q8—2922no—
1694Q8—2922no—
1695Q8—5841no—
1696Q8—5841no—
1697Q8—5841no—
1698Q8—1461no—
1699Q8—1461no—
1700Q8—1461no—
1701Q8—1461no—
1702Q8—1461no—
1703Q8—1461no—
1704Q8—1461no—
1705Q8—1461no—
1706D4—21no—
1707D4—21no—
1708D4—21no—
1709D4—21no—
1710D4—42no—
1711D4—81no—
1712D4—2922no—
1713D4—2922no—
1714D4—2922no—
1715D4—2922no—
1716D4—2922no—
1717D4—5841no—
1718D4—5841no—
1719D4—5841no—
1720D4—1461no—
1721D4—1461no—
1722D4—1461no—
1723D4—1461no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—42no—
1733C2×C4—42no—
1734C2×C4—81no—
1735C2×C4—2922no—
1736C2×C4—2922no—
1737C2×C4—2922no—
1738C2×C4—2922no—
1739C2×C4—2922no—
1740C2×C4—2922no—
1741C2×C4—2922no—
1742C2×C4—2922no—
1743C2×C4—2922no—
1744C2×C4—2922no—
1745C2×C4—2922no—
1746C2×C4—2922no—
1747C2×C4—5841no—
1748C2×C4—5841no—
1749C2×C4—5841no—
1750C2×C4—731no—
1751C2×C4—732no—
1752C2×C4—732no—
1753C2×C4—731no—
1754C2×C4—731no—
1755C2×C4—731no—
1756C2×C4—731no—
1757C2×C4—731no—
1758C2×C4—1462no—
1759C2×C4—1462no—
1760C2×C4—1462no—
1761C2×C4—1462no—
1762C2×C4—1462no—
1763C2×C4—1462no—
1764C2×C4—1461no—
1765C2×C4—1461no—
1766C2×C4—1461no—
1767C2×C4—1461no—
1768C2×C4—1461no—
1769C2×C4—1461no—
1770C2×C4—1462no—
1771C2×C4—1461no—
1772C2×C4—1461no—
1773C2×C4C2×D4×D7311yescharacteristic
1774C2×C4C2×D4×D7311yescharacteristic
1775C2×C4C2×D4×D7311yescharacteristic
1776C2×C4C2×D4×D7311yescharacteristic
1777C2×C4C2×D4×D7311yescharacteristic
1778C2×C4C24×D7311yescharacteristic
1779C8—21no—
1780C8—21no—
1781C8—21no—
1782C8—21no—
1783C8—1461no—
1784C8—1461no—
1785C8—1461no—
1786C8—1461no—
1787C22—21no—
1788C22—21no—
1789C22—21no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—2924no—
1797C22—2921no—
1798C22—2921no—
1799C22—2921no—
1800C22—2921no—
1801C22—2921no—
1802C22—2921no—
1803C22—5844no—
1804C22—5844no—
1805C22—732no—
1806C22—732no—
1807C22—732no—
1808C22—1461no—
1809C22—1461no—
1810C22—1461no—
1811C22C22×D4×D7311yescharacteristic
1812C4—21no—
1813C4—21no—
1814C4—21no—
1815C4—21no—
1816C4—21no—
1817C4—41no—
1818C4—41no—
1819C4—41no—
1820C4—41no—
1821C4—41no—
1822C4—41no—
1823C4—2921no—
1824C4—2921no—
1825C4—2921no—
1826C4—2921no—
1827C4—2921no—
1828C4—2921no—
1829C4—732no—
1830C4—1461no—
1831C4—1461no—
1832C4—1461no—
1833C4—1461no—
1834C4—1461no—
1835C4H(5,𝔽2)×D7311yescharacteristic
1836C4H(5,𝔽2)×D7311yescharacteristic
1837C2—41no—
1838C2—81no—
1839C2—81no—
1840C2—2921no—
1841C2—5841no—
1842C2—5841no—
1843C2—734no—
1844C2#535×D7311yescharacteristic
1845C2#577×D7311yescharacteristic
1846C2#578×D7311yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3225C2
socleC22×C73C23×D4
prime radical#449×D73C2
hypercenter#3225D73
hypocenterC73C2×#3225
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ #117 ◁ #3225

Complements

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

NH ≅ G/Ntype
1. #542×D73C2semidirect
2. #536×D73C2semidirect
3. #22621047C2semidirect
4. #22621046C2semidirect
5. #22621045C2semidirect
6. #22621044C2semidirect
7. #22621043C2semidirect
8. #22621042C2semidirect
9. #22621041C2semidirect
10. #22621040C2semidirect
11. #22621039C2semidirect
12. #22621038C2semidirect
13. #22621037C2semidirect
14. #22621036C2semidirect
15. #22621035C2semidirect
16. #22621034C2semidirect
17. #22621033C2semidirect
18. #497×D73C2semidirect
19. #495×D73C2semidirect
20. #489×D73C2semidirect
21. #487×D73C2semidirect
22. #464×D73C2semidirect
23. #462×D73C2semidirect
24. #463×D73C2semidirect
25. #461×D73C2semidirect
26. #452×D73C2semidirect
28. #451×D73C2semidirect
29. #448×D73C2semidirect
30. #433×D73C2semidirect
31. C73×#3225C2semidirect
42. #17989211C22semidirect
43. #17989210C22semidirect
44. #17989209C22semidirect
45. #17989208C22semidirect
47. #17989206C22semidirect
49. #17989204C22semidirect
51. #17989202C22semidirect
53. #17989163C22semidirect
54. #17989162C22semidirect
55. #17989162C22semidirect
56. #17989161C22semidirect
61. #17989158C22semidirect
62. #17989157C22semidirect
63. #17989157C22semidirect
83. #17988982C22semidirect
84. #17988981C22semidirect
85. #17988980C22semidirect
86. #17988980C22semidirect
87. #17988979C22semidirect
88. #17988978C22semidirect
89. #17988978C22semidirect
90. #17988972C22semidirect
91. #17988971C22semidirect
92. #17988970C22semidirect
93. #17988969C22semidirect
94. #17988969C22semidirect
95. #17988968C22semidirect
96. #17988968C22semidirect
97. #17988949C22semidirect
98. #17988948C22semidirect
99. #17988948C22semidirect
100. #17988947C22semidirect
101. #17988946C22semidirect
102. #17988945C22semidirect
103. #17988945C22semidirect
104. #17988939C22semidirect
105. #17988938C22semidirect
106. #17988937C22semidirect
107. #17988936C22semidirect
108. #17988936C22semidirect
109. #17988936C22semidirect
110. #17988936C22semidirect
111. #17988812C22semidirect
112. #17988811C22semidirect
113. #17988810C22semidirect
114. #17988809C22semidirect
115. #17988808C22semidirect
116. #17988807C22semidirect
117. #17988806C22semidirect
118. #17988805C22semidirect
119. #17988804C22semidirect
120. #17988803C22semidirect
121. #17988802C22semidirect
122. #17988801C22semidirect
123. #17988800C22semidirect
124. #17988799C22semidirect
125. #17988798C22semidirect
126. #17988797C22semidirect
127. #17988796C22semidirect
128. #17988796C22semidirect
129. #17988795C22semidirect
130. #17988795C22semidirect
131. #17988794C22semidirect
132. #17988793C22semidirect
133. #17988792C22semidirect
134. #17988791C22semidirect
135. #17988791C22semidirect
136. #17988790C22semidirect
137. #17988790C22semidirect
138. #17988789C22semidirect
139. #17988752C22semidirect
140. #17988751C22semidirect
141. #17988750C22semidirect
142. #17988749C22semidirect
143. #17988748C22semidirect
144. #17988747C22semidirect
145. #17988746C22semidirect
146. #17988745C22semidirect
147. #17988744C22semidirect
148. #17988744C22semidirect
149. #17988743C22semidirect
150. #17988742C22semidirect
151. #17988741C22semidirect
152. #17988741C22semidirect
160. #17988728C22semidirect
161. #17988727C22semidirect
162. #17988727C22semidirect
163. #17988726C22semidirect
164. #17988725C22semidirect
165. #17988724C22semidirect
166. #17988724C22semidirect
167. #17988649C22semidirect
168. #17988648C22semidirect
169. #17988647C22semidirect
170. #17988647C22semidirect
171. #17988646C22semidirect
172. #17988645C22semidirect
173. #17988645C22semidirect
188. #542×C73C22semidirect
189. #536×C73C22semidirect
190. #497×C73C22semidirect
191. #495×C73C22semidirect
192. #489×C73C22semidirect
193. #487×C73C22semidirect
194. #464×C73C22semidirect
195. #463×C73C22semidirect
196. #462×C73C22semidirect
197. #461×C73C22semidirect
198. #452×C73C22semidirect
199. #451×C73C22semidirect
201. #448×C73C22semidirect
202. #433×C73C22semidirect
923. D73#3225direct (N × H)
941. #3225D73direct (N × H)
955. C73C2×#3225semidirect
977. #542C2×D73semidirect
989. #536C2×D73semidirect
1016. #497C2×D73semidirect
1024. #495C2×D73semidirect
1032. #489C2×D73semidirect
1040. #487C2×D73semidirect
1048. #464C2×D73semidirect
1056. #463C2×D73semidirect
1064. #462C2×D73semidirect
1072. #461C2×D73semidirect
1080. #452C2×D73semidirect
1088. #451C2×D73semidirect
1104. #448C2×D73semidirect
1112. #433C2×D73semidirect

Maximal subgroups

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

subgroupindex
#542×D732
#536×D732
#226210472
#226210462
#226210452
#226210442
#226210432
#226210422
#226210412
#226210402
#226210392
#226210382
#226210372
#226210362
#226210352
#226210342
#226210332
#497×D732
#495×D732
#489×D732
#487×D732
#464×D732
#462×D732
#463×D732
#461×D732
#452×D732
#449×D732
#451×D732
#448×D732
#433×D732
C73×#32252
C2×#322573