Finite Group Databasebeta

← #3327×D73 #33962845

Subgroups — #3327×D73 #33962845

Order 18688.

2114 conjugacy classes of subgroups.

The subgroup lattice has 1806 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#552×D73C211yesmaximal, characteristic, complemented
2#548×D73C211yesmaximal, characteristic
3#22622206C211yesmaximal, characteristic, complemented
4#22622205C211yesmaximal, characteristic, complemented
5#22622204C211yesmaximal, characteristic, complemented
6#22622203C211yesmaximal, characteristic, complemented
7#22622202C211yesmaximal, characteristic, complemented
8#22622201C211yesmaximal, characteristic, complemented
9#22622200C211yesmaximal, characteristic, complemented
10#22622199C211yesmaximal, characteristic, complemented
11#22622198C211yesmaximal, characteristic, complemented
12#22622197C211yesmaximal, characteristic, complemented
13#22622196C211yesmaximal, characteristic, complemented
14#22622195C211yesmaximal, characteristic, complemented
15#22622194C211yesmaximal, characteristic, complemented
16#22622193C211yesmaximal, characteristic, complemented
17#22622192C211yesmaximal, characteristic, complemented
18#488×D73C211yesmaximal, characteristic, complemented
19#484×D73C211yesmaximal, characteristic, complemented
20#482×D73C211yesmaximal, characteristic, complemented
21#479×D73C211yesmaximal, characteristic, complemented
22#470×D73C211yesmaximal, characteristic, complemented
23#468×D73C211yesmaximal, characteristic, complemented
24#464×D73C211yesmaximal, characteristic, complemented
25#452×D73C211yesmaximal, characteristic, complemented
26#451×D73C211yesmaximal, characteristic, complemented
27C4×Q16×D73C211yesmaximal, characteristic, complemented
28#436×D73C211yesmaximal, characteristic, complemented
29#417×D73C211yesmaximal, characteristic, complemented
30#419×D73C211yesmaximal, characteristic, complemented
31C73×#3327C211yesmaximal, characteristic, complemented
32C2×#41×D73C2211yescharacteristic
33C22×Q8×D73C2211yescharacteristic
34C2×Q16×D73C2211yescharacteristic
35C2×Q16×D73C2211yescharacteristic
36C2×SD16×D73C2211yescharacteristic
37C2×M16×D73C2211yescharacteristic
38C2×M16×D73C2211yescharacteristic
39#17989279C2211yescharacteristic, complemented
40#17989278C2211yescharacteristic, complemented
41#17989277C2211yescharacteristic, complemented
42#17989276C2211yescharacteristic, complemented
43#17989275C2211yescharacteristic, complemented
44#17989274—21no—
45#17989273—21no—
46#17989272C2211yescharacteristic, complemented
47#17989271C2211yescharacteristic, complemented
48#17989270—21no—
49#17989269—21no—
50#17989249C2211yescharacteristic
51#17989248C2211yescharacteristic
52#17989247—21no—
53#17989247C2211yescharacteristic
54#17989246—21no—
55#17989246C2211yescharacteristic
56#17989245—21no—
57#17989245C2211yescharacteristic
58#17989244C2211yescharacteristic
59#17989243—21no—
60#17989243C2211yescharacteristic
61#126×D73—21no—
62#125×D73—21no—
63#125×D73C2211yescharacteristic
64#124×D73—21no—
65#124×D73C2211yescharacteristic
66#123×D73—21no—
67C22⋊Q8×D73—21no—
68C22⋊Q8×D73C2211yescharacteristic
69C22⋊Q8×D73C2211yescharacteristic
70C22⋊Q8×D73C2211yescharacteristic
71#121×D73—21no—
72#121×D73C2211yescharacteristic
73C4×Q8×D73C2211yescharacteristic
74C4×Q8×D73C2211yescharacteristic
75C4×D4×D73—21no—
76C4×D4×D73C2211yescharacteristic
77#117×D73—21no—
78#117×D73C2211yescharacteristic
79C2×C4⋊C4×D73C2211yescharacteristic
80#17988944C2211yescharacteristic, complemented
81#17988943C2211yescharacteristic, complemented
82#17988943C2211yescharacteristic, complemented
83#17988942C2211yescharacteristic, complemented
84#17988941C2211yescharacteristic, complemented
85#17988940C2211yescharacteristic, complemented
86#17988940C2211yescharacteristic, complemented
87#17988924C2211yescharacteristic, complemented
88#17988924C2211yescharacteristic, complemented
89#17988923C2211yescharacteristic, complemented
90#17988922C2211yescharacteristic, complemented
91#17988921C2211yescharacteristic, complemented
92#17988921C2211yescharacteristic, complemented
93#17988920C2211yescharacteristic, complemented
94#17988914C2211yescharacteristic, complemented
95#17988913C2211yescharacteristic, complemented
96#17988912C2211yescharacteristic, complemented
97#17988911C2211yescharacteristic, complemented
98#17988910C2211yescharacteristic, complemented
99#17988909C2211yescharacteristic, complemented
100#17988908C2211yescharacteristic, complemented
101#17988897C2211yescharacteristic, complemented
102#17988896C2211yescharacteristic, complemented
103#17988895C2211yescharacteristic, complemented
104#17988894C2211yescharacteristic, complemented
105#17988893C2211yescharacteristic, complemented
106#17988892C2211yescharacteristic, complemented
107#17988891C2211yescharacteristic, complemented
108#17988846C2211yescharacteristic, complemented
109#17988845C2211yescharacteristic, complemented
110#17988844C2211yescharacteristic, complemented
111#17988844C2211yescharacteristic, complemented
112#17988843C2211yescharacteristic, complemented
113#17988843C2211yescharacteristic, complemented
114#17988842C2211yescharacteristic, complemented
115#17988836C2211yescharacteristic, complemented
116#17988835C2211yescharacteristic, complemented
117#17988834C2211yescharacteristic, complemented
118#17988833C2211yescharacteristic, complemented
119#17988832C2211yescharacteristic, complemented
120#17988831C2211yescharacteristic, complemented
121#17988830C2211yescharacteristic, complemented
122#17988812C2211yescharacteristic, complemented
123#17988811C2211yescharacteristic, complemented
124#17988810C2211yescharacteristic, complemented
125#17988809C2211yescharacteristic, complemented
126#17988808C2211yescharacteristic, complemented
127#17988807C2211yescharacteristic, complemented
128#17988806C2211yescharacteristic, complemented
129#17988752C2211yescharacteristic, complemented
130#17988751C2211yescharacteristic, complemented
131#17988750C2211yescharacteristic, complemented
132#17988749C2211yescharacteristic, complemented
133#17988748C2211yescharacteristic, complemented
134#17988747C2211yescharacteristic, complemented
135#17988746C2211yescharacteristic, complemented
136#17988745C2211yescharacteristic, complemented
137#17988744C2211yescharacteristic, complemented
138#17988744C2211yescharacteristic, complemented
139#17988743C2211yescharacteristic, complemented
140#17988742C2211yescharacteristic, complemented
141#17988741C2211yescharacteristic, complemented
142#17988741C2211yescharacteristic, complemented
143C4×Dic292C2211yescharacteristic, complemented
144Q16×Dic73C2211yescharacteristic, complemented
145#17988681C2211yescharacteristic, complemented
146C4×#11924018C2211yescharacteristic, complemented
147C4×#11924018C2211yescharacteristic, complemented
148#17988679C2211yescharacteristic, complemented
149#17988679C2211yescharacteristic, complemented
150#17988666C2211yescharacteristic, complemented
151#17988665C2211yescharacteristic, complemented
152#17988664C2211yescharacteristic, complemented
153#17988663C2211yescharacteristic, complemented
154#17988663C2211yescharacteristic, complemented
155#17988662C2211yescharacteristic, complemented
156#17988662C2211yescharacteristic, complemented
157#107×D73C2211yescharacteristic
158#107×D73C2211yescharacteristic
159#106×D73C2211yescharacteristic
160C4⋊C8×D73C2211yescharacteristic
161#17988597C2211yescharacteristic, complemented
162#17988596C2211yescharacteristic, complemented
163#17988595C2211yescharacteristic, complemented
164#17988594C2211yescharacteristic, complemented
165#17988594C2211yescharacteristic, complemented
166#17988594C2211yescharacteristic, complemented
167#17988594C2211yescharacteristic, complemented
168#17988589C2211yescharacteristic, complemented
169#17988588C2211yescharacteristic, complemented
170#17988587C2211yescharacteristic, complemented
171#17988587C2211yescharacteristic, complemented
172#17988586C2211yescharacteristic, complemented
173#17988585C2211yescharacteristic, complemented
174#17988585C2211yescharacteristic, complemented
175#103×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
184#102×D73C2211yescharacteristic
185C22⋊C8×D73C2211yescharacteristic
186C22⋊C8×D73C2211yescharacteristic
187C4×C8×D73C2211yescharacteristic
188#552×C73C2211yescharacteristic, complemented
189#548×C73C2211yescharacteristic
190#488×C73C2211yescharacteristic, complemented
191#484×C73C2211yescharacteristic, complemented
192#482×C73C2211yescharacteristic, complemented
193#479×C73C2211yescharacteristic, complemented
194#470×C73C2211yescharacteristic, complemented
195#468×C73C2211yescharacteristic, complemented
196#464×C73C2211yescharacteristic, complemented
197#452×C73C2211yescharacteristic, complemented
198#451×C73C2211yescharacteristic, complemented
199C4×Q16×C73C2211yescharacteristic, complemented
200#436×C73C2211yescharacteristic, complemented
201#419×C73C2211yescharacteristic, complemented
202#417×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924028—21no—
205C2×#11924028C2311yescharacteristic
206C2×#11924027—21no—
207C2×#11924027C2311yescharacteristic
208#41×D73—24no—
209#41×D73—42no—
210C22×Dic146—21no—
211C22×Dic146C2311yescharacteristic
212C2×Q8×D73—21no—
213C2×Q8×D73—21no—
214C2×Q8×D73—24no—
215C2×Q8×D73—42no—
216C2×Q8×D73C2311yescharacteristic
217C2×Q8×D73C2311yescharacteristic
218C2×Q8×D73C2311yescharacteristic
219C2×Q8×D73C2311yescharacteristic
220C2×Q8×D73C2311yescharacteristic
221C2×D4×D73—21no—
222C2×D4×D73—21no—
223C2×D4×D73D411yescharacteristic
224C2×D4×D73C2311yescharacteristic
225C22×C4×D73—21no—
226C22×C4×D73—21no—
227C22×C4×D73—21no—
228C22×C4×D73C2311yescharacteristic
229C22×C4×D73C2311yescharacteristic
230C2×Dic292C2311yescharacteristic
231C2×Dic292C2311yescharacteristic
232C2×#11924018C2311yescharacteristic
233C2×#11924018C2311yescharacteristic
234C2×#11924018C2311yescharacteristic
235C2×#11924018C2311yescharacteristic
236Q16×D73—24no—
237Q16×D73—42no—
238C2×#11924017C2311yescharacteristic
239C2×#11924016C2311yescharacteristic
240C2×#11924015C2311yescharacteristic
241SD16×D73—42no—
242C2×#11924012C2311yescharacteristic
243C2×#11924012C2311yescharacteristic
244C2×#11924011C2311yescharacteristic
245C2×#11924011C2311yescharacteristic
246C2×#11924011C2311yescharacteristic
247C2×#11924011C2311yescharacteristic
248M16×D73—42no—
249M16×D73—42no—
250C2×C8×D73C2311yescharacteristic
251C2×C8×D73C2311yescharacteristic
252C2×C8×D73C2311yescharacteristic
253C2×C8×D73C2311yescharacteristic
254#14556586—21no—
255#14556586—21no—
256#14556586—21no—
257#14556585—21no—
258#14556584—21no—
259#14556584—21no—
260#14556584—21no—
261#14556583—21no—
262#14556583C2311yescharacteristic
263#14556582—21no—
264#14556582—21no—
265#14556582C2311yescharacteristic
266#14556582C2311yescharacteristic
267#14556581—21no—
268#14556581—21no—
269#14556581—21no—
270#14556581—21no—
271#14556581—21no—
272#14556581—21no—
273#14556580—21no—
274#14556580C2311yescharacteristic
275#14556579—21no—
276#14556579C2311yescharacteristic
277#14556578—21no—
278#14556578C2311yescharacteristic
279#14556577—21no—
280#14556577—21no—
281#14556577—21no—
282#14556577—21no—
283#14556577—21no—
284#14556577—21no—
285#14556576—21no—
286#14556576—21no—
287#14556575—21no—
288#14556574—21no—
289#14556573—21no—
290#14556573—21no—
291#14556572—21no—
292#14556571—21no—
293#14556571C2311yescharacteristic
294#14556571C2311yescharacteristic
295#14556571C2311yescharacteristic
296#14556570—21no—
297#14556570C2311yescharacteristic
298#14556570C2311yescharacteristic
299#14556570C2311yescharacteristic
300#14556569—21no—
301#14556569—21no—
302#14556569—21no—
303#14556569—21no—
304#14556569—21no—
305#14556568—21no—
306#14556568—21no—
307#14556568—21no—
308#14556568—21no—
309#14556568—21no—
310#14556567—21no—
311#14556567C2311yescharacteristic
312#14556567C2311yescharacteristic
313#14556567C2311yescharacteristic
314#14556566—21no—
315#14556566C2311yescharacteristic
316#14556565—21no—
317#14556565C2311yescharacteristic
318#14556564—21no—
319#14556564—21no—
320#14556564—21no—
321#14556563—21no—
322#14556563—21no—
323#14556563—21no—
324#14556562—21no—
325#14556562C2311yescharacteristic
326Q8×Dic73C2311yescharacteristic
327Q8×Dic73C2311yescharacteristic
328C4×Dic146—21no—
329C4×Dic146—21no—
330C4×Dic146C2311yescharacteristic
331C4×Dic146C2311yescharacteristic
332#14556556—21no—
333#14556556—21no—
334#14556556C2311yescharacteristic
335#14556556C2311yescharacteristic
336C4×D292—21no—
337C4×D292C2311yescharacteristic
338D4×Dic73—21no—
339D4×Dic73D411yescharacteristic
340#14556553—21no—
341#14556553D411yescharacteristic
342C4×C22⋊D73—21no—
343C4×C22⋊D73—21no—
344C4×C22⋊D73C2311yescharacteristic
345C4×C22⋊D73C2311yescharacteristic
346#14556551—21no—
347#14556551—21no—
348#14556551D411yescharacteristic
349#14556551D411yescharacteristic
350#14556550—21no—
351#14556550C2311yescharacteristic
352#14556549—21no—
353#14556549—21no—
354#14556549C2311yescharacteristic
355#14556549C2311yescharacteristic
356#14556548—21no—
357#14556548—21no—
358#14556548—21no—
359#14556547—21no—
360#14556547—21no—
361#14556547—21no—
362C2×C4⋊Dic73C2311yescharacteristic
363C2×#11924007—21no—
364C4⋊C4×D73—21no—
365C4⋊C4×D73—21no—
366C4⋊C4×D73—21no—
367C4⋊C4×D73—21no—
368C4⋊C4×D73—21no—
369C4⋊C4×D73—21no—
370C4⋊C4×D73—21no—
371C4⋊C4×D73—21no—
372C4⋊C4×D73—21no—
373C4⋊C4×D73D411yescharacteristic
374C4⋊C4×D73C2311yescharacteristic
375C4⋊C4×D73C2311yescharacteristic
376C4⋊C4×D73C2311yescharacteristic
377C4⋊C4×D73C2311yescharacteristic
378C4⋊C4×D73C2311yescharacteristic
379C4⋊C4×D73C2311yescharacteristic
380C22⋊C4×D73—21no—
381C22⋊C4×D73—21no—
382C22⋊C4×D73—21no—
383C22⋊C4×D73—21no—
384C22⋊C4×D73—21no—
385C22⋊C4×D73—21no—
386C22⋊C4×D73—21no—
387C22⋊C4×D73D411yescharacteristic
388C22⋊C4×D73D411yescharacteristic
389C42×D73—21no—
390C42×D73—21no—
391C42×D73—21no—
392C42×D73C2311yescharacteristic
393#14556525C2311yescharacteristic
394#14556525C2311yescharacteristic
395#14556524C2311yescharacteristic
396#14556524C2311yescharacteristic
397#14556524C2311yescharacteristic
398#14556524C2311yescharacteristic
399#14556523C2311yescharacteristic
400#14556522C2311yescharacteristic
401#14556522C2311yescharacteristic
402C4⋊#10596831C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556520C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556516C2311yescharacteristic
408#14556516C2311yescharacteristic
409#14556516C2311yescharacteristic
410#14556516C2311yescharacteristic
411#14556516C2311yescharacteristic
412#14556515C2311yescharacteristic
413#14556515C2311yescharacteristic
414#14556515C2311yescharacteristic
415#14556515C2311yescharacteristic
416#14556515C2311yescharacteristic
417#14556515C2311yescharacteristic
418#14556515C2311yescharacteristic
419#14556514C2311yescharacteristic
420#14556514C2311yescharacteristic
421#14556514C2311yescharacteristic
422#14556514C2311yescharacteristic
423#14556514C2311yescharacteristic
424#14556514C2311yescharacteristic
425#14556514C2311yescharacteristic
426#14556513C2311yescharacteristic
427#14556513C2311yescharacteristic
428#14556513C2311yescharacteristic
429#14556512C2311yescharacteristic
430#14556512C2311yescharacteristic
431#14556512C2311yescharacteristic
432#14556511C2311yescharacteristic
433#14556511C2311yescharacteristic
434#14556511C2311yescharacteristic
435C22⋊#10596831C2311yescharacteristic
436C22⋊#10596831C2311yescharacteristic
437#14556503C2311yescharacteristic
438#14556503C2311yescharacteristic
439#14556503C2311yescharacteristic
440#14556503C2311yescharacteristic
441C4×#10596831C2311yescharacteristic
442C8×Dic73C2311yescharacteristic
443C8×Dic73C2311yescharacteristic
444C2×#41×C73C2311yescharacteristic
445C22×Q8×C73C2311yescharacteristic
446C2×Q16×C73C2311yescharacteristic
447C2×Q16×C73C2311yescharacteristic
448C2×SD16×C73C2311yescharacteristic
449C2×M16×C73C2311yescharacteristic
450C2×M16×C73C2311yescharacteristic
451#126×C73—21no—
452#125×C73—21no—
453#125×C73C2311yescharacteristic
454#124×C73—21no—
455#124×C73C2311yescharacteristic
456#123×C73—21no—
457C22⋊Q8×C73—21no—
458C22⋊Q8×C73C2311yescharacteristic
459C22⋊Q8×C73C2311yescharacteristic
460C22⋊Q8×C73C2311yescharacteristic
461#121×C73—21no—
462#121×C73C2311yescharacteristic
463C4×Q8×C73C2311yescharacteristic
464C4×Q8×C73C2311yescharacteristic
465C4×D4×C73—21no—
466C4×D4×C73C2311yescharacteristic
467#117×C73—21no—
468#117×C73C2311yescharacteristic
469C2×C4⋊C4×C73C2311yescharacteristic
470#107×C73C2311yescharacteristic
471#107×C73C2311yescharacteristic
472#106×C73C2311yescharacteristic
473C4⋊C8×C73C2311yescharacteristic
474#103×C73C2311yescharacteristic
475#103×C73C2311yescharacteristic
476#103×C73C2311yescharacteristic
477#103×C73C2311yescharacteristic
478#103×C73C2311yescharacteristic
479#103×C73C2311yescharacteristic
480#103×C73C2311yescharacteristic
481#102×C73C2311yescharacteristic
482#102×C73C2311yescharacteristic
483#102×C73C2311yescharacteristic
484C22⋊C8×C73C2311yescharacteristic
485C22⋊C8×C73C2311yescharacteristic
486C4×C8×C73C2311yescharacteristic
487C23×D73—21no—
488C23×D73C2×D411yescharacteristic
489C23×D73C2×D411yescharacteristic
490#11924029—22no—
491#11924029—41no—
492#11924028—22no—
493#11924028—44no—
494#11924028—41no—
495#11924027—22no—
496#11924027—41no—
497#11924027—44no—
498C2×Dic146—21no—
499C2×Dic146—22no—
500C2×Dic146—21no—
501C2×Dic146—21no—
502C2×Dic146—21no—
503C2×Dic146—21no—
504C2×Dic146—21no—
505C2×Dic146—41no—
506C2×Dic146—44no—
507C2×Dic146C2411yescharacteristic
508C2×Dic146C2411yescharacteristic
509C2×Dic146C2411yescharacteristic
510Q8×D73—22no—
511Q8×D73—22no—
512Q8×D73—22no—
513Q8×D73—22no—
514Q8×D73—22no—
515Q8×D73—22no—
516Q8×D73—22no—
517Q8×D73—41no—
518Q8×D73—41no—
519Q8×D73—44no—
520Q8×D73—44no—
521Q8×D73#4114yes—
522C2×D292—21no—
523C2×D292—21no—
524C2×D292C2×D411yescharacteristic
525C2×D292C2411yescharacteristic
526C2×C22⋊D73—21no—
527C2×C22⋊D73—21no—
528C2×C22⋊D73—21no—
529C2×C22⋊D73—21no—
530C2×C22⋊D73—21no—
531C2×C22⋊D73C2×D411yescharacteristic
532C2×C22⋊D73C2×D411yescharacteristic
533D4×D73—22no—
534D4×D73—22no—
535D4×D73—42no—
536D4×D73—44no—
537D4×D73—44no—
538C22×Dic73—21no—
539C22×Dic73—21no—
540C22×Dic73—21no—
541C22×Dic73C2×D411yescharacteristic
542C22×Dic73C2×D411yescharacteristic
543C2×C4×D73—21no—
544C2×C4×D73—22no—
545C2×C4×D73—22no—
546C2×C4×D73—22no—
547C2×C4×D73—22no—
548C2×C4×D73—21no—
549C2×C4×D73—21no—
550C2×C4×D73—21no—
551C2×C4×D73—21no—
552C2×C4×D73—21no—
553C2×C4×D73—21no—
554C2×C4×D73—21no—
555C2×C4×D73—21no—
556C2×C4×D73—21no—
557C2×C4×D73—21no—
558C2×C4×D73—21no—
559C2×C4×D73—21no—
560C2×C4×D73—44no—
561C2×C4×D73—44no—
562C2×C4×D73—44no—
563C2×C4×D73C2×D411yescharacteristic
564C2×C4×D73C2×D411yescharacteristic
565C2×C4×D73C2×D411yescharacteristic
566C2×C4×D73C2×D411yescharacteristic
567C2×C4×D73C2×D411yescharacteristic
568C2×C4×D73C2×D411yescharacteristic
569C2×C4×D73C2411yescharacteristic
570C2×C4×D73C2411yescharacteristic
571C2×C4×D73C2411yescharacteristic
572Dic292—22no—
573Dic292—41no—
574#11924018—22no—
575#11924018—22no—
576#11924018—41no—
577#11924018—41no—
578#11924017—41no—
579#11924016—41no—
580#11924015—41no—
581#11924012—41no—
582#11924012—41no—
583#11924011—41no—
584#11924011—41no—
585#11924011—41no—
586#11924011—41no—
587C2×#10596831C2411yescharacteristic
588C2×#10596831C2411yescharacteristic
589C2×#10596831C2411yescharacteristic
590C2×#10596831C2411yescharacteristic
591C8×D73—22no—
592C8×D73—22no—
593C8×D73—22no—
594C8×D73—22no—
595C4⋊Dic73—21no—
596C4⋊Dic73—21no—
597C4⋊Dic73—21no—
598C4⋊Dic73—21no—
599C4⋊Dic73—21no—
600C4⋊Dic73—21no—
601C4⋊Dic73—21no—
602C4⋊Dic73—21no—
603C4⋊Dic73C2×D411yescharacteristic
604C4⋊Dic73C2411yescharacteristic
605C4⋊Dic73C2411yescharacteristic
606C4⋊Dic73C2411yescharacteristic
607C4⋊Dic73C2411yescharacteristic
608#11924007—21no—
609#11924007—21no—
610#11924007—21no—
611#11924007—21no—
612#11924007—21no—
613#11924007—21no—
614#11924007—21no—
615#11924007—21no—
616#11924007—21no—
617#11924007—21no—
618#11924007—21no—
619#11924007—21no—
620#11924007—21no—
621#11924007—21no—
622#11924007—21no—
623#11924007—21no—
624#11924007—21no—
625#11924007—21no—
626#11924007—21no—
627#11924007—21no—
628#11924007C2×D411yescharacteristic
629#11924007C2×D411yescharacteristic
630C22⋊Dic73—21no—
631C22⋊Dic73—21no—
632C22⋊Dic73—21no—
633C22⋊Dic73—21no—
634C22⋊Dic73—21no—
635C22⋊Dic73—21no—
636C22⋊Dic73—21no—
637C22⋊Dic73C2×D411yescharacteristic
638C22⋊Dic73C2×D411yescharacteristic
639#11924005—21no—
640#11924005—21no—
641#11924005—21no—
642#11924005—21no—
643#11924005—21no—
644#11924005—21no—
645#11924005—21no—
646#11924005—21no—
647#11924005—21no—
648#11924005—21no—
649#11924005—21no—
650#11924005—21no—
651#11924005—21no—
652#11924005—21no—
653#11924005C2×D411yescharacteristic
654#11924005C2×D411yescharacteristic
655#11924005C2×D411yescharacteristic
656#11924005C2×D411yescharacteristic
657C4×Dic73—21no—
658C4×Dic73—21no—
659C4×Dic73—21no—
660C4×Dic73—21no—
661C4×Dic73—21no—
662C4×Dic73—21no—
663C4×Dic73—21no—
664C4×Dic73—21no—
665C4×Dic73—21no—
666C4×Dic73C2×D411yescharacteristic
667C4×Dic73C2×D411yescharacteristic
668C4×Dic73C2411yescharacteristic
669#41×C73—22no—
670#41×C73—41no—
671C2×Q8×C73—21no—
672C2×Q8×C73—22no—
673C2×Q8×C73—41no—
674C2×Q8×C73C2411yescharacteristic
675C2×Q8×C73C2411yescharacteristic
676C2×Q8×C73C2411yescharacteristic
677C2×D4×C73—21no—
678C2×D4×C73—21no—
679C2×D4×C73C2×D411yescharacteristic
680C2×D4×C73C2411yescharacteristic
681C22×C4×C73—21no—
682C22×C4×C73—21no—
683C22×C4×C73—21no—
684C22×C4×C73C2411yescharacteristic
685C22×C4×C73C2411yescharacteristic
686Q16×C73—22no—
687Q16×C73—41no—
688SD16×C73—41no—
689M16×C73—41no—
690M16×C73—41no—
691C2×C8×C73C2411yescharacteristic
692C2×C8×C73C2411yescharacteristic
693C2×C8×C73C2411yescharacteristic
694C2×C8×C73C2411yescharacteristic
695C4⋊C4×C73—21no—
696C4⋊C4×C73—21no—
697C4⋊C4×C73—21no—
698C4⋊C4×C73—21no—
699C4⋊C4×C73—21no—
700C4⋊C4×C73—21no—
701C4⋊C4×C73—21no—
702C4⋊C4×C73—21no—
703C4⋊C4×C73C2×D411yescharacteristic
704C4⋊C4×C73C2411yescharacteristic
705C4⋊C4×C73C2411yescharacteristic
706C4⋊C4×C73C2411yescharacteristic
707C4⋊C4×C73C2411yescharacteristic
708C22⋊C4×C73—21no—
709C22⋊C4×C73—21no—
710C22⋊C4×C73—21no—
711C22⋊C4×C73—21no—
712C22⋊C4×C73—21no—
713C22⋊C4×C73—21no—
714C22⋊C4×C73—21no—
715C22⋊C4×C73C2×D411yescharacteristic
716C22⋊C4×C73C2×D411yescharacteristic
717C42×C73—21no—
718C42×C73—21no—
719C42×C73—21no—
720C42×C73C2411yescharacteristic
721C23×C73—21no—
722C23×C73C22×D411yescharacteristic
723C23×C73C22×D411yescharacteristic
724C22×D73—22no—
725C22×D73—22no—
726C22×D73—22no—
727C22×D73—22no—
728C22×D73—22no—
729C22×D73—22no—
730C22×D73—21no—
731C22×D73—42no—
732C22×D73—42no—
733C22×D73—42no—
734C22×D73C22×D411yescharacteristic
735C22×D73C22×D411yescharacteristic
736C22×D73C22×D411yescharacteristic
737Q8×C73—21no—
738Q8×C73—21no—
739Q8×C73—21no—
740Q8×C73—21no—
741Q8×C73—21no—
742Q8×C73—42no—
743Q8×C73C2×#4112yes—
744D4×C73—21no—
745D4×C73—21no—
746D4×C73—41no—
747D4×C73—42no—
748D4×C73—42no—
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—42no—
761C2×C4×C73—42no—
762C2×C4×C73—42no—
763C2×C4×C73C22×D411yescharacteristic
764C2×C4×C73C22×D411yescharacteristic
765C2×C4×C73C22×D411yescharacteristic
766C2×C4×C73C22×D411yescharacteristic
767C2×C4×C73C2511yescharacteristic
768C22⋊D73—41no—
769C22⋊D73—41no—
770C22⋊D73—42no—
771C22⋊D73—42no—
772C22⋊D73—42no—
773C22⋊D73—42no—
774C22⋊D73—42no—
775C2×Dic73—21no—
776C2×Dic73—22no—
777C2×Dic73—22no—
778C2×Dic73—21no—
779C2×Dic73—21no—
780C2×Dic73—21no—
781C2×Dic73—21no—
782C2×Dic73—21no—
783C2×Dic73—21no—
784C2×Dic73—42no—
785C2×Dic73—42no—
786C2×Dic73—42no—
787C2×Dic73C22×D411yescharacteristic
788C2×Dic73C22×D411yescharacteristic
789C2×Dic73C22×D411yescharacteristic
790C2×Dic73C22×D411yescharacteristic
791C2×Dic73C22×D411yescharacteristic
792D292—21no—
793D292—21no—
794D292—41no—
795D292—42no—
796D292—42no—
797C4×D73—22no—
798C4×D73—22no—
799C4×D73—24no—
800C4×D73—22no—
801C4×D73—22no—
802C4×D73—21no—
803C4×D73—21no—
804C4×D73—21no—
805C4×D73—21no—
806C4×D73—22no—
807C4×D73—22no—
808C4×D73—42no—
809C4×D73—42no—
810C4×D73—42no—
811C4×D73—42no—
812C4×D73—42no—
813C4×D73—42no—
814C4×D73—42no—
815C4×D73—42no—
816C4×D73—42no—
817C4×D73—42no—
818C4×D73—42no—
819C4×D73—42no—
820C4×D73C2×#4112yes—
821C4×D73H(5,𝔽2)12yes—
822Dic146—21no—
823Dic146—24no—
824Dic146—21no—
825Dic146—21no—
826Dic146—21no—
827Dic146—21no—
828Dic146—42no—
829Dic146—42no—
830Dic146—42no—
831Dic146—42no—
832Dic146—42no—
833Dic146C2×#4112yes—
834C8×C73—21no—
835C8×C73—21no—
836C8×C73—21no—
837C8×C73—21no—
838#10596831—21no—
839#10596831—21no—
840#10596831—21no—
841#10596831—21no—
842C22×C73—21no—
843C22×C73—21no—
844C22×C73—21no—
845C22×C73—21no—
846C22×C73—21no—
847C22×C73—21no—
848C22×C73—41no—
849C22×C73—41no—
850C22×C73—41no—
851C22×C73C23×D411yescharacteristic
852C2×D73—21no—
853C2×D73—21no—
854C2×D73—21no—
855C2×D73—21no—
856C2×D73—21no—
857C2×D73—21no—
858C2×D73—44no—
859C2×D73—44no—
860C2×D73—41no—
861C2×D73—41no—
862C2×D73—41no—
863C2×D73—84no—
864C2×D73#54612yes—
865C2×D73#57512yes—
866C2×D73#57812yes—
867C4×C73—22no—
868C4×C73—21no—
869C4×C73—21no—
870C4×C73—21no—
871C4×C73—21no—
872C4×C73—41no—
873C4×C73—41no—
874C4×C73—41no—
875C4×C73—41no—
876C4×C73—41no—
877C4×C73—41no—
878C4×C73C22×#4111yescharacteristic
879C4×C73C2×H(5,𝔽2)11yescharacteristic
880Dic73—22no—
881Dic73—21no—
882Dic73—21no—
883Dic73—21no—
884Dic73—21no—
885Dic73—41no—
886Dic73—41no—
887Dic73—41no—
888Dic73—41no—
889Dic73—41no—
890Dic73—41no—
891Dic73#54612yes—
892C2×#3327—731nomaximal, Sylow
893C2×C73—41no—
894C2×C73—41no—
895C2×C73—81no—
896C2×C73C2×#54611yescharacteristic
897C2×C73C2×#57511yescharacteristic
898C2×C73C2×#57811yescharacteristic
899D73—41no—
900D73—41no—
901D73—81no—
902D73#332714yesdirect product factor
903C2×#552—731no—
904C2×#548—731no—
905#3327—731no—
906#3327—731no—
907#3327—731no—
908#3327—731no—
909#3327—731no—
910#3327—731no—
911#3327—731no—
912#3327—731no—
913#3327—731no—
914#3327—731no—
915#3327—731no—
916#3327—731no—
917#3327—731no—
918#3327—731no—
919#3327—731no—
920#3327D7311yescharacteristic, direct product factor
921C2×#488—731no—
922C2×#484—731no—
923C2×#482—731no—
924C2×#479—731no—
925C2×#470—731no—
926C2×#468—731no—
927C2×#464—731no—
928C2×#452—731no—
929C2×#451—731no—
930C2×C4×Q16—731no—
931C2×#436—731no—
932C2×#417—731no—
933C2×#419—731no—
934C73C2×#332711yescharacteristic, complemented, Sylow
935C22×#41—731no—
936C23×Q8—731no—
937C22×Q16—731no—
938C22×Q16—731no—
939C22×SD16—731no—
940C22×M16—731no—
941C22×M16—731no—
942#552—731no—
943#552—731no—
944#552—731no—
945#552—731no—
946#552—731no—
947#552—731no—
948#552—731no—
949#552—1461no—
950#552—1461no—
951#552—1461no—
952#552—1461no—
953#552C2×D7311yescharacteristic, complemented
954#548—731no—
955#548—731no—
956#548—731no—
957#548—731no—
958#548—731no—
959#548—731no—
960#548—731no—
961#548—1461no—
962#548—1461no—
963#548—1461no—
964#548—1461no—
965#548C2×D7311yescharacteristic
966C2×#126—1461no—
967C2×#125—731no—
968C2×#125—1461no—
969C2×#124—731no—
970C2×#124—1461no—
971C2×#123—1461no—
972C2×C22⋊Q8—731no—
973C2×C22⋊Q8—731no—
974C2×C22⋊Q8—731no—
975C2×C22⋊Q8—1461no—
976C2×#121—731no—
977C2×#121—1461no—
978C2×C4×Q8—731no—
979C2×C4×Q8—731no—
980C2×C4×D4—731no—
981C2×C4×D4—1461no—
982C2×#117—731no—
983C2×#117—1461no—
984C22×C4⋊C4—731no—
985#488—731no—
986#488—731no—
987#488—731no—
988#488—731no—
989#488—731no—
990#488—731no—
991#488—731no—
992#488C2×D7311yescharacteristic, complemented
993#484—731no—
994#484—731no—
995#484—731no—
996#484—731no—
997#484—731no—
998#484—731no—
999#484—731no—
1000#484C2×D7311yescharacteristic, complemented
1001#482—731no—
1002#482—731no—
1003#482—731no—
1004#482—731no—
1005#482—731no—
1006#482—731no—
1007#482—731no—
1008#482C2×D7311yescharacteristic, complemented
1009#479—731no—
1010#479—731no—
1011#479—731no—
1012#479—731no—
1013#479—731no—
1014#479—731no—
1015#479—731no—
1016#479C2×D7311yescharacteristic, complemented
1017#470—731no—
1018#470—731no—
1019#470—731no—
1020#470—731no—
1021#470—731no—
1022#470—731no—
1023#470—731no—
1024#470C2×D7311yescharacteristic, complemented
1025#468—731no—
1026#468—731no—
1027#468—731no—
1028#468—731no—
1029#468—731no—
1030#468—731no—
1031#468—731no—
1032#468C2×D7311yescharacteristic, complemented
1033#464—731no—
1034#464—731no—
1035#464—731no—
1036#464—731no—
1037#464—731no—
1038#464—731no—
1039#464—731no—
1040#464C2×D7311yescharacteristic, complemented
1041#452—731no—
1042#452—731no—
1043#452—731no—
1044#452—731no—
1045#452—731no—
1046#452—731no—
1047#452—731no—
1048#452C2×D7311yescharacteristic, complemented
1049#451—731no—
1050#451—731no—
1051#451—731no—
1052#451—731no—
1053#451—731no—
1054#451—731no—
1055#451—731no—
1056#451C2×D7311yescharacteristic, complemented
1057C4×Q16—731no—
1058C4×Q16—731no—
1059C4×Q16—731no—
1060C4×Q16—731no—
1061C4×Q16—731no—
1062C4×Q16—731no—
1063C4×Q16—731no—
1064C4×Q16C2×D7311yescharacteristic, complemented
1065#436—731no—
1066#436—731no—
1067#436—731no—
1068#436—731no—
1069#436—731no—
1070#436—731no—
1071#436—731no—
1072#436C2×D7311yescharacteristic, complemented
1073C2×#107—731no—
1074C2×#107—731no—
1075C2×#106—731no—
1076C2×C4⋊C8—731no—
1077#419—731no—
1078#419—731no—
1079#419—731no—
1080#419—731no—
1081#419—731no—
1082#419—731no—
1083#419—731no—
1084#419C2×D7311yescharacteristic, complemented
1085#417—731no—
1086#417—731no—
1087#417—731no—
1088#417—731no—
1089#417—731no—
1090#417—731no—
1091#417—731no—
1092#417C2×D7311yescharacteristic, complemented
1093C2×#103—731no—
1094C2×#103—731no—
1095C2×#103—731no—
1096C2×#103—731no—
1097C2×#103—731no—
1098C2×#103—731no—
1099C2×#103—731no—
1100C2×#102—731no—
1101C2×#102—731no—
1102C2×#102—731no—
1103C2×C22⋊C8—731no—
1104C2×C22⋊C8—731no—
1105C2×C4×C8—731no—
1106C2×#41—2922no—
1107C2×#41—731no—
1108C2×#41—731no—
1109C2×#41—731no—
1110C2×#41—1461no—
1111C2×#41—1464no—
1112C2×#41—1461no—
1113C2×#41C22×D7311yescharacteristic
1114C22×Q8—2922no—
1115C22×Q8—731no—
1116C22×Q8—731no—
1117C22×Q8—731no—
1118C22×Q8—731no—
1119C22×Q8—731no—
1120C22×Q8—731no—
1121C22×Q8—1461no—
1122C22×Q8—1464no—
1123C22×Q8—1461no—
1124C22×Q8—1461no—
1125C22×Q8C22×D7311yescharacteristic
1126C22×D4—731no—
1127C22×D4—731no—
1128C22×D4—1461no—
1129C22×D4—1461no—
1130C23×C4—731no—
1131C23×C4—731no—
1132C23×C4—1461no—
1133C23×C4—1461no—
1134C23×C4—1461no—
1135C2×Q16—2922no—
1136C2×Q16—731no—
1137C2×Q16—731no—
1138C2×Q16—731no—
1139C2×Q16—731no—
1140C2×Q16—731no—
1141C2×Q16—731no—
1142C2×Q16—1464no—
1143C2×Q16C22×D7311yescharacteristic
1144C2×Q16C22×D7311yescharacteristic
1145C2×SD16—2922no—
1146C2×SD16—731no—
1147C2×SD16—731no—
1148C2×SD16—731no—
1149C2×SD16C22×D7311yescharacteristic
1150C2×M16—2922no—
1151C2×M16—2922no—
1152C2×M16—731no—
1153C2×M16—731no—
1154C2×M16—731no—
1155C2×M16—731no—
1156C2×M16—731no—
1157C2×M16—731no—
1158C2×M16C22×D7311yescharacteristic
1159C2×M16C22×D7311yescharacteristic
1160C22×C8—731no—
1161C22×C8—731no—
1162C22×C8—731no—
1163C22×C8—731no—
1164#126—21no—
1165#126—1461no—
1166#126—1461no—
1167#126—1461no—
1168#126—1461no—
1169#126—1461no—
1170#126—1461no—
1171#126—1461no—
1172#125—21no—
1173#125—731no—
1174#125—731no—
1175#125—731no—
1176#125—1461no—
1177#125—1461no—
1178#125—1461no—
1179#125—1461no—
1180#125—1461no—
1181#125—1461no—
1182#125—1461no—
1183#125—1461no—
1184#125—1461no—
1185#125C22×D7311yescharacteristic
1186#124—21no—
1187#124—731no—
1188#124—731no—
1189#124—731no—
1190#124—1461no—
1191#124—1461no—
1192#124—1461no—
1193#124—1461no—
1194#124—1461no—
1195#124—1461no—
1196#124—1461no—
1197#124—1461no—
1198#124—1461no—
1199#124C22×D7311yescharacteristic
1200#123—21no—
1201#123—1461no—
1202#123—1461no—
1203#123—1461no—
1204#123—1461no—
1205#123—1461no—
1206#123—1461no—
1207#123—1461no—
1208C22⋊Q8—21no—
1209C22⋊Q8—731no—
1210C22⋊Q8—731no—
1211C22⋊Q8—731no—
1212C22⋊Q8—731no—
1213C22⋊Q8—731no—
1214C22⋊Q8—731no—
1215C22⋊Q8—731no—
1216C22⋊Q8—731no—
1217C22⋊Q8—731no—
1218C22⋊Q8—1461no—
1219C22⋊Q8—1461no—
1220C22⋊Q8—1461no—
1221C22⋊Q8—1461no—
1222C22⋊Q8—1461no—
1223C22⋊Q8—1461no—
1224C22⋊Q8—1461no—
1225C22⋊Q8—1461no—
1226C22⋊Q8—1461no—
1227C22⋊Q8—1461no—
1228C22⋊Q8—1461no—
1229C22⋊Q8—1461no—
1230C22⋊Q8—1461no—
1231C22⋊Q8C22×D7311yescharacteristic
1232C22⋊Q8C22×D7311yescharacteristic
1233C22⋊Q8C22×D7311yescharacteristic
1234#121—21no—
1235#121—731no—
1236#121—731no—
1237#121—731no—
1238#121—1461no—
1239#121—1461no—
1240#121—1461no—
1241#121—1461no—
1242#121—1461no—
1243#121—1461no—
1244#121—1461no—
1245#121—1461no—
1246#121—1461no—
1247#121C22×D7311yescharacteristic
1248C4×Q8—731no—
1249C4×Q8—731no—
1250C4×Q8—731no—
1251C4×Q8—731no—
1252C4×Q8—731no—
1253C4×Q8—731no—
1254C4×Q8—1461no—
1255C4×Q8—1461no—
1256C4×Q8—1461no—
1257C4×Q8—1461no—
1258C4×Q8C22×D7311yescharacteristic
1259C4×Q8C22×D7311yescharacteristic
1260C4×D4—21no—
1261C4×D4—731no—
1262C4×D4—731no—
1263C4×D4—731no—
1264C4×D4—731no—
1265C4×D4—731no—
1266C4×D4—731no—
1267C4×D4—731no—
1268C4×D4—1461no—
1269C4×D4—1461no—
1270C4×D4—1461no—
1271C4×D4—1461no—
1272C4×D4—1461no—
1273C4×D4—1461no—
1274C4×D4—1461no—
1275C4×D4C22×D7311yescharacteristic
1276#117—21no—
1277#117—731no—
1278#117—731no—
1279#117—731no—
1280#117—1461no—
1281#117—1461no—
1282#117—1461no—
1283#117—1461no—
1284#117—1461no—
1285#117—1461no—
1286#117—1461no—
1287#117—1461no—
1288#117—1461no—
1289#117C22×D7311yescharacteristic
1290C2×C4⋊C4—731no—
1291C2×C4⋊C4—731no—
1292C2×C4⋊C4—731no—
1293C2×C4⋊C4—731no—
1294C2×C4⋊C4—731no—
1295C2×C4⋊C4—731no—
1296C2×C4⋊C4—731no—
1297C2×C4⋊C4—731no—
1298C2×C4⋊C4—1461no—
1299C2×C4⋊C4—1461no—
1300C2×C4⋊C4—1461no—
1301C2×C4⋊C4—1461no—
1302C2×C4⋊C4—1461no—
1303C2×C4⋊C4—1461no—
1304C2×C4⋊C4—1461no—
1305C2×C4⋊C4—1461no—
1306C2×C4⋊C4—1461no—
1307C2×C4⋊C4—1461no—
1308C2×C4⋊C4C22×D7311yescharacteristic
1309C2×C22⋊C4—731no—
1310C2×C22⋊C4—731no—
1311C2×C22⋊C4—1461no—
1312C2×C22⋊C4—1461no—
1313C2×C22⋊C4—1461no—
1314C2×C22⋊C4—1461no—
1315C2×C22⋊C4—1461no—
1316C2×C22⋊C4—1461no—
1317C2×C22⋊C4—1461no—
1318C2×C42—731no—
1319C2×C42—1461no—
1320C2×C42—1461no—
1321C2×C42—1461no—
1322#107—731no—
1323#107—731no—
1324#107—731no—
1325#107—731no—
1326#107—731no—
1327#107—731no—
1328#107C22×D7311yescharacteristic
1329#107C22×D7311yescharacteristic
1330#106—731no—
1331#106—731no—
1332#106—731no—
1333#106C22×D7311yescharacteristic
1334C4⋊C8—731no—
1335C4⋊C8—731no—
1336C4⋊C8—731no—
1337C4⋊C8C22×D7311yescharacteristic
1338#103—731no—
1339#103—731no—
1340#103—731no—
1341#103—731no—
1342#103—731no—
1343#103—731no—
1344#103—731no—
1345#103—731no—
1346#103—731no—
1347#103—731no—
1348#103—731no—
1349#103—731no—
1350#103—731no—
1351#103—731no—
1352#103—731no—
1353#103—731no—
1354#103—731no—
1355#103—731no—
1356#103—731no—
1357#103—731no—
1358#103—731no—
1359#103C22×D7311yescharacteristic
1360#103C22×D7311yescharacteristic
1361#103C22×D7311yescharacteristic
1362#103C22×D7311yescharacteristic
1363#103C22×D7311yescharacteristic
1364#103C22×D7311yescharacteristic
1365#103C22×D7311yescharacteristic
1366#102—731no—
1367#102—731no—
1368#102—731no—
1369#102—731no—
1370#102—731no—
1371#102—731no—
1372#102—731no—
1373#102—731no—
1374#102—731no—
1375#102C22×D7311yescharacteristic
1376#102C22×D7311yescharacteristic
1377#102C22×D7311yescharacteristic
1378C22⋊C8—731no—
1379C22⋊C8—731no—
1380C22⋊C8—731no—
1381C22⋊C8—731no—
1382C22⋊C8—731no—
1383C22⋊C8—731no—
1384C22⋊C8C22×D7311yescharacteristic
1385C22⋊C8C22×D7311yescharacteristic
1386C4×C8—731no—
1387C4×C8—731no—
1388C4×C8—731no—
1389C4×C8C22×D7311yescharacteristic
1390C24—731no—
1391C24—731no—
1392C24—1461no—
1393#41—22no—
1394#41—41no—
1395#41—2921no—
1396#41—2924no—
1397#41—2921no—
1398#41—2924no—
1399#41—2921no—
1400#41—1462no—
1401#41—1462no—
1402#41—1462no—
1403C2×Q8—21no—
1404C2×Q8—22no—
1405C2×Q8—41no—
1406C2×Q8—2921no—
1407C2×Q8—2924no—
1408C2×Q8—2921no—
1409C2×Q8—2921no—
1410C2×Q8—2924no—
1411C2×Q8—2924no—
1412C2×Q8—734no—
1413C2×Q8—731no—
1414C2×Q8—731no—
1415C2×Q8—731no—
1416C2×Q8—1462no—
1417C2×Q8—1461no—
1418C2×Q8—1461no—
1419C2×Q8—1461no—
1420C2×Q8—1461no—
1421C2×Q8—1461no—
1422C2×Q8—1462no—
1423C2×Q8—1462no—
1424C2×Q8—1462no—
1425C2×Q8—1462no—
1426C2×Q8—1462no—
1427C2×Q8—1462no—
1428C2×Q8—1462no—
1429C2×Q8—1461no—
1430C2×Q8C23×D7311yescharacteristic
1431C2×Q8C23×D7311yescharacteristic
1432C2×Q8C23×D7311yescharacteristic
1433C2×D4—21no—
1434C2×D4—21no—
1435C2×D4—2924no—
1436C2×D4—2924no—
1437C2×D4—2922no—
1438C2×D4—731no—
1439C2×D4—731no—
1440C2×D4—731no—
1441C2×D4—731no—
1442C2×D4—1461no—
1443C2×D4—1461no—
1444C2×D4—1462no—
1445C2×D4—1462no—
1446C2×D4—1461no—
1447C2×D4—1461no—
1448C2×D4—1461no—
1449C2×D4—1461no—
1450C2×D4—1461no—
1451C2×D4D4×D7311yescharacteristic
1452C2×D4C23×D7311yescharacteristic
1453C22×C4—21no—
1454C22×C4—21no—
1455C22×C4—21no—
1456C22×C4—2924no—
1457C22×C4—2924no—
1458C22×C4—2924no—
1459C22×C4—731no—
1460C22×C4—731no—
1461C22×C4—731no—
1462C22×C4—731no—
1463C22×C4—731no—
1464C22×C4—731no—
1465C22×C4—731no—
1466C22×C4—731no—
1467C22×C4—731no—
1468C22×C4—731no—
1469C22×C4—731no—
1470C22×C4—1461no—
1471C22×C4—1461no—
1472C22×C4—1461no—
1473C22×C4—1461no—
1474C22×C4—1461no—
1475C22×C4—1461no—
1476C22×C4—1461no—
1477C22×C4—1461no—
1478C22×C4—1461no—
1479C22×C4—1461no—
1480C22×C4—1461no—
1481C22×C4—1462no—
1482C22×C4—1462no—
1483C22×C4—1462no—
1484C22×C4—1462no—
1485C22×C4—1461no—
1486C22×C4—1461no—
1487C22×C4—1461no—
1488C22×C4—1461no—
1489C22×C4—1461no—
1490C22×C4C23×D7311yescharacteristic
1491C22×C4C23×D7311yescharacteristic
1492Q16—22no—
1493Q16—41no—
1494Q16—2921no—
1495Q16—2921no—
1496Q16—2921no—
1497Q16—1462no—
1498Q16—1462no—
1499Q16—1462no—
1500SD16—41no—
1501SD16—2921no—
1502SD16—2921no—
1503SD16—2921no—
1504M16—41no—
1505M16—41no—
1506M16—2921no—
1507M16—2921no—
1508M16—2921no—
1509M16—2921no—
1510M16—2921no—
1511M16—2921no—
1512C2×C8—731no—
1513C2×C8—731no—
1514C2×C8—731no—
1515C2×C8—731no—
1516C2×C8—1462no—
1517C2×C8—1462no—
1518C2×C8—1462no—
1519C2×C8—1462no—
1520C2×C8C23×D7311yescharacteristic
1521C2×C8C23×D7311yescharacteristic
1522C2×C8C23×D7311yescharacteristic
1523C2×C8C23×D7311yescharacteristic
1524C4⋊C4—21no—
1525C4⋊C4—21no—
1526C4⋊C4—21no—
1527C4⋊C4—21no—
1528C4⋊C4—21no—
1529C4⋊C4—21no—
1530C4⋊C4—21no—
1531C4⋊C4—21no—
1532C4⋊C4—731no—
1533C4⋊C4—731no—
1534C4⋊C4—731no—
1535C4⋊C4—731no—
1536C4⋊C4—731no—
1537C4⋊C4—731no—
1538C4⋊C4—731no—
1539C4⋊C4—1461no—
1540C4⋊C4—1461no—
1541C4⋊C4—1461no—
1542C4⋊C4—1461no—
1543C4⋊C4—1461no—
1544C4⋊C4—1461no—
1545C4⋊C4—1461no—
1546C4⋊C4—1461no—
1547C4⋊C4—1461no—
1548C4⋊C4—1461no—
1549C4⋊C4—1461no—
1550C4⋊C4—1461no—
1551C4⋊C4—1461no—
1552C4⋊C4—1461no—
1553C4⋊C4—1461no—
1554C4⋊C4—1461no—
1555C4⋊C4—1461no—
1556C4⋊C4—1461no—
1557C4⋊C4—1461no—
1558C4⋊C4—1461no—
1559C4⋊C4—1461no—
1560C4⋊C4—1461no—
1561C4⋊C4—1461no—
1562C4⋊C4—1461no—
1563C4⋊C4—1461no—
1564C4⋊C4—1461no—
1565C4⋊C4—1461no—
1566C4⋊C4—1461no—
1567C4⋊C4D4×D7311yescharacteristic
1568C4⋊C4C23×D7311yescharacteristic
1569C4⋊C4C23×D7311yescharacteristic
1570C4⋊C4C23×D7311yescharacteristic
1571C4⋊C4C23×D7311yescharacteristic
1572C22⋊C4—21no—
1573C22⋊C4—21no—
1574C22⋊C4—21no—
1575C22⋊C4—21no—
1576C22⋊C4—21no—
1577C22⋊C4—21no—
1578C22⋊C4—21no—
1579C22⋊C4—731no—
1580C22⋊C4—731no—
1581C22⋊C4—731no—
1582C22⋊C4—731no—
1583C22⋊C4—731no—
1584C22⋊C4—731no—
1585C22⋊C4—1461no—
1586C22⋊C4—1461no—
1587C22⋊C4—1461no—
1588C22⋊C4—1461no—
1589C22⋊C4—1461no—
1590C22⋊C4—1461no—
1591C22⋊C4—1461no—
1592C22⋊C4—1461no—
1593C22⋊C4—1461no—
1594C22⋊C4—1461no—
1595C22⋊C4—1461no—
1596C22⋊C4—1461no—
1597C22⋊C4—1461no—
1598C22⋊C4—1461no—
1599C22⋊C4—1461no—
1600C22⋊C4—1461no—
1601C22⋊C4—1461no—
1602C22⋊C4—1461no—
1603C22⋊C4—1461no—
1604C22⋊C4—1461no—
1605C22⋊C4—1461no—
1606C22⋊C4D4×D7311yescharacteristic
1607C22⋊C4D4×D7311yescharacteristic
1608C42—21no—
1609C42—21no—
1610C42—21no—
1611C42—731no—
1612C42—731no—
1613C42—731no—
1614C42—1461no—
1615C42—1461no—
1616C42—1461no—
1617C42—1461no—
1618C42—1461no—
1619C42—1461no—
1620C42—1461no—
1621C42—1461no—
1622C42—1461no—
1623C42C23×D7311yescharacteristic
1624C23—21no—
1625C23—2922no—
1626C23—2922no—
1627C23—2922no—
1628C23—731no—
1629C23—731no—
1630C23—731no—
1631C23—1462no—
1632C23—1462no—
1633C23—1462no—
1634C23—1462no—
1635C23—1462no—
1636C23—1462no—
1637C23—1461no—
1638C23C2×D4×D7311yescharacteristic
1639C23C2×D4×D7311yescharacteristic
1640Q8—21no—
1641Q8—21no—
1642Q8—21no—
1643Q8—21no—
1644Q8—21no—
1645Q8—42no—
1646Q8—2922no—
1647Q8—2922no—
1648Q8—2922no—
1649Q8—2922no—
1650Q8—2922no—
1651Q8—732no—
1652Q8—1464no—
1653Q8—1461no—
1654Q8—1461no—
1655Q8—1461no—
1656Q8—1461no—
1657Q8—1461no—
1658Q8#41×D7312yes—
1659D4—21no—
1660D4—21no—
1661D4—41no—
1662D4—42no—
1663D4—42no—
1664D4—2922no—
1665D4—2921no—
1666D4—2922no—
1667D4—2922no—
1668D4—2922no—
1669D4—2922no—
1670D4—2922no—
1671D4—2921no—
1672D4—2921no—
1673D4—2922no—
1674D4—1461no—
1675D4—1461no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—42no—
1688C2×C4—42no—
1689C2×C4—42no—
1690C2×C4—2922no—
1691C2×C4—2922no—
1692C2×C4—2922no—
1693C2×C4—2922no—
1694C2×C4—2922no—
1695C2×C4—2922no—
1696C2×C4—2922no—
1697C2×C4—2922no—
1698C2×C4—2922no—
1699C2×C4—2922no—
1700C2×C4—2922no—
1701C2×C4—2922no—
1702C2×C4—2922no—
1703C2×C4—2922no—
1704C2×C4—2922no—
1705C2×C4—731no—
1706C2×C4—732no—
1707C2×C4—732no—
1708C2×C4—731no—
1709C2×C4—731no—
1710C2×C4—731no—
1711C2×C4—731no—
1712C2×C4—1462no—
1713C2×C4—1462no—
1714C2×C4—1462no—
1715C2×C4—1464no—
1716C2×C4—1462no—
1717C2×C4—1462no—
1718C2×C4—1462no—
1719C2×C4—1461no—
1720C2×C4—1461no—
1721C2×C4—1461no—
1722C2×C4—1461no—
1723C2×C4—1461no—
1724C2×C4—1461no—
1725C2×C4—1462no—
1726C2×C4—1462no—
1727C2×C4—1461no—
1728C2×C4—1461no—
1729C2×C4—1461no—
1730C2×C4—1461no—
1731C2×C4—1461no—
1732C2×C4C2×D4×D7311yescharacteristic
1733C2×C4C2×D4×D7311yescharacteristic
1734C2×C4C2×D4×D7311yescharacteristic
1735C2×C4C2×D4×D7311yescharacteristic
1736C2×C4C24×D7311yescharacteristic
1737C8—21no—
1738C8—21no—
1739C8—21no—
1740C8—21no—
1741C8—1461no—
1742C8—1461no—
1743C8—1461no—
1744C8—1461no—
1745C22—21no—
1746C22—21no—
1747C22—21no—
1748C22—21no—
1749C22—21no—
1750C22—21no—
1751C22—41no—
1752C22—41no—
1753C22—41no—
1754C22—2924no—
1755C22—2924no—
1756C22—2921no—
1757C22—2921no—
1758C22—2921no—
1759C22—5844no—
1760C22—732no—
1761C22—732no—
1762C22—732no—
1763C22—1461no—
1764C22—1461no—
1765C22—1461no—
1766C22—1461no—
1767C22—1461no—
1768C22—1461no—
1769C22C22×D4×D7311yescharacteristic
1770C4—21no—
1771C4—21no—
1772C4—22no—
1773C4—21no—
1774C4—21no—
1775C4—41no—
1776C4—41no—
1777C4—41no—
1778C4—41no—
1779C4—41no—
1780C4—41no—
1781C4—2921no—
1782C4—2921no—
1783C4—2921no—
1784C4—2921no—
1785C4—2921no—
1786C4—2921no—
1787C4—732no—
1788C4—1461no—
1789C4—1462no—
1790C4—1461no—
1791C4—1461no—
1792C4—1461no—
1793C4C2×#41×D7311yescharacteristic
1794C4H(5,𝔽2)×D7311yescharacteristic
1795C2—41no—
1796C2—41no—
1797C2—81no—
1798C2—2921no—
1799C2—2921no—
1800C2—5841no—
1801C2—734no—
1802C2#546×D7311yescharacteristic
1803C2#575×D7311yescharacteristic
1804C2#578×D7311yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3327C2
socleC22×C73C23×D4
prime radical#548×D73C2
hypercenter#3327D73
hypocenterC73C2×#3327
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3327

Complements

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

NH ≅ G/Ntype
1. #552×D73C2semidirect
3. #22622206C2semidirect
4. #22622205C2semidirect
5. #22622204C2semidirect
6. #22622203C2semidirect
7. #22622202C2semidirect
8. #22622201C2semidirect
9. #22622200C2semidirect
10. #22622199C2semidirect
11. #22622198C2semidirect
12. #22622197C2semidirect
13. #22622196C2semidirect
14. #22622195C2semidirect
15. #22622194C2semidirect
16. #22622193C2semidirect
17. #22622192C2semidirect
18. #488×D73C2semidirect
19. #484×D73C2semidirect
20. #482×D73C2semidirect
21. #479×D73C2semidirect
22. #470×D73C2semidirect
23. #468×D73C2semidirect
24. #464×D73C2semidirect
25. #452×D73C2semidirect
26. #451×D73C2semidirect
27. C4×Q16×D73C2semidirect
28. #436×D73C2semidirect
29. #417×D73C2semidirect
30. #419×D73C2semidirect
31. C73×#3327C2semidirect
39. #17989279C22semidirect
40. #17989278C22semidirect
41. #17989277C22semidirect
42. #17989276C22semidirect
43. #17989275C22semidirect
46. #17989272C22semidirect
47. #17989271C22semidirect
80. #17988944C22semidirect
81. #17988943C22semidirect
82. #17988943C22semidirect
83. #17988942C22semidirect
84. #17988941C22semidirect
85. #17988940C22semidirect
86. #17988940C22semidirect
87. #17988924C22semidirect
88. #17988924C22semidirect
89. #17988923C22semidirect
90. #17988922C22semidirect
91. #17988921C22semidirect
92. #17988921C22semidirect
93. #17988920C22semidirect
94. #17988914C22semidirect
95. #17988913C22semidirect
96. #17988912C22semidirect
97. #17988911C22semidirect
98. #17988910C22semidirect
99. #17988909C22semidirect
100. #17988908C22semidirect
101. #17988897C22semidirect
102. #17988896C22semidirect
103. #17988895C22semidirect
104. #17988894C22semidirect
105. #17988893C22semidirect
106. #17988892C22semidirect
107. #17988891C22semidirect
108. #17988846C22semidirect
109. #17988845C22semidirect
110. #17988844C22semidirect
111. #17988844C22semidirect
112. #17988843C22semidirect
113. #17988843C22semidirect
114. #17988842C22semidirect
115. #17988836C22semidirect
116. #17988835C22semidirect
117. #17988834C22semidirect
118. #17988833C22semidirect
119. #17988832C22semidirect
120. #17988831C22semidirect
121. #17988830C22semidirect
122. #17988812C22semidirect
123. #17988811C22semidirect
124. #17988810C22semidirect
125. #17988809C22semidirect
126. #17988808C22semidirect
127. #17988807C22semidirect
128. #17988806C22semidirect
129. #17988752C22semidirect
130. #17988751C22semidirect
131. #17988750C22semidirect
132. #17988749C22semidirect
133. #17988748C22semidirect
134. #17988747C22semidirect
135. #17988746C22semidirect
136. #17988745C22semidirect
137. #17988744C22semidirect
138. #17988744C22semidirect
139. #17988743C22semidirect
140. #17988742C22semidirect
141. #17988741C22semidirect
142. #17988741C22semidirect
143. C4×Dic292C22semidirect
144. Q16×Dic73C22semidirect
145. #17988681C22semidirect
146. C4×#11924018C22semidirect
147. C4×#11924018C22semidirect
148. #17988679C22semidirect
149. #17988679C22semidirect
150. #17988666C22semidirect
151. #17988665C22semidirect
152. #17988664C22semidirect
153. #17988663C22semidirect
154. #17988663C22semidirect
155. #17988662C22semidirect
156. #17988662C22semidirect
161. #17988597C22semidirect
162. #17988596C22semidirect
163. #17988595C22semidirect
164. #17988594C22semidirect
165. #17988594C22semidirect
166. #17988594C22semidirect
167. #17988594C22semidirect
168. #17988589C22semidirect
169. #17988588C22semidirect
170. #17988587C22semidirect
171. #17988587C22semidirect
172. #17988586C22semidirect
173. #17988585C22semidirect
174. #17988585C22semidirect
188. #552×C73C22semidirect
190. #488×C73C22semidirect
191. #484×C73C22semidirect
192. #482×C73C22semidirect
193. #479×C73C22semidirect
194. #470×C73C22semidirect
195. #468×C73C22semidirect
196. #464×C73C22semidirect
197. #452×C73C22semidirect
198. #451×C73C22semidirect
199. C4×Q16×C73C22semidirect
200. #436×C73C22semidirect
201. #419×C73C22semidirect
202. #417×C73C22semidirect
902. D73#3327direct (N × H)
920. #3327D73direct (N × H)
934. C73C2×#3327semidirect
953. #552C2×D73semidirect
992. #488C2×D73semidirect
1000. #484C2×D73semidirect
1008. #482C2×D73semidirect
1016. #479C2×D73semidirect
1024. #470C2×D73semidirect
1032. #468C2×D73semidirect
1040. #464C2×D73semidirect
1048. #452C2×D73semidirect
1056. #451C2×D73semidirect
1064. C4×Q16C2×D73semidirect
1072. #436C2×D73semidirect
1084. #419C2×D73semidirect
1092. #417C2×D73semidirect

Maximal subgroups

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

subgroupindex
#552×D732
#548×D732
#226222062
#226222052
#226222042
#226222032
#226222022
#226222012
#226222002
#226221992
#226221982
#226221972
#226221962
#226221952
#226221942
#226221932
#226221922
#488×D732
#484×D732
#482×D732
#479×D732
#470×D732
#468×D732
#464×D732
#452×D732
#451×D732
C4×Q16×D732
#436×D732
#417×D732
#419×D732
C73×#33272
C2×#332773